Displaying items by tag: Mathematics
Mathematics Activities - Grade 5 Schemes of Work Term 2 2023
MATHEMATICS ACTIVITIES.
Wk | Lsn | Strand/Theme | Sub strand | Specific learning outcomes | Key inquiry Questions | Learning experiences | Learning Resources | Assessment methods | Ref |
1 | 1 | NUMBERS | Fractions |
By the end of the sub strand, the learner should be able to;
|
Why do we order fractions in real life? Where are fractions used in real life? |
In pairs, groups or as individuals add and subtract two fractions by renaming one fraction using equivalent fractions In pairs, groups or as individuals pay digital games involving fractions |
Equivalent fraction Board, Circular cut outs, rectangular cut outs, counters | Written exercise, oral questions, observation, group discussion | |
2 | Fractions |
By the end of the sub strand, the learner should be able to;
|
Why do we order fractions in real life? Where are fractions used in real life? |
In pairs, groups or as individuals add and subtract two fractions by renaming one fraction using equivalent fractions In pairs, groups or as individuals pay digital games involving fractions |
Equivalent fraction Board, Circular cut outs, rectangular cut outs, counters | Written exercise, oral questions, observation, group discussion | |||
3 | Decimals: place value of decimals |
By the end of the sub strand, the learner should be able to;
|
Where do you use decimals in real life? What is the importance of ordering decimals? |
In pairs, groups or as individuals identify place value of decimals up to thousandths using place value chart. In pairs or groups play digital games involving decimals |
Place value charts, number cards | Written exercise, oral questions, observation, group discussion | |||
4 | Decimals: place value of decimals |
By the end of the sub strand, the learner should be able to;
|
Where do you use decimals in real life? What is the importance of ordering decimals? |
In pairs, groups or as individuals identify place value of decimals up to thousandths using place value chart. In pairs or groups play digital games involving decimals |
Place value charts, number cards | Written exercise, oral questions, observation, group discussion | |||
5 | Decimals: ordering decimals |
By the end of the sub strand, the learner should be able to;
|
Where do you use decimals in real life? What is the importance of ordering decimals? |
In pairs, groups or as individuals order decimals up to thousandths from smallest to largest and from largest to smallest In pairs or groups play digital games involving decimals |
Place value charts, number cards | Written exercise, oral questions, observation, group discussion | |||
2 | 1 | Decimals: ordering decimals |
By the end of the sub strand, the learner should be able to;
|
Where do you use decimals in real life? What is the importance of ordering decimals? |
In pairs, groups or as individuals order decimals up to thousandths from smallest to largest and from largest to smallest In pairs or groups play digital games involving decimals |
Place value charts, number cards | Written exercise, oral questions, observation, group discussion | ||
2 | Decimals: adding decimals |
By the end of the sub strand, the learner should be able to;
|
Where do you use decimals in real life? What is the importance of ordering decimals? |
In pairs, groups or as individuals order decimals up to thousandths from smallest to largest and from largest to smallest In pairs or groups play digital games involving decimals |
Place value charts, number cards | Written exercise, oral questions, observation, group discussion | |||
3 | Decimals: subtracting decimals |
By the end of the sub strand, the learner should be able to;
|
Where do you use decimals in real life? What is the importance of ordering decimals? |
In pairs, groups or as individuals order decimals up to thousandths from smallest to largest and from largest to smallest In pairs or groups play digital games involving decimals |
Place value charts, number cards | Written exercise, oral questions, observation, group discussion | |||
4 | MEASUREMENT | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | ||
5 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
3 | 1 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | ||
2 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
3 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
4 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
5 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
4 | 1 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | ||
2 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
3 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
4 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
5 | Length |
By the end of the sub strand, the learner should be able to;
|
How do you measure distance? Why do you measure distance? |
In pairs, groups or as individuals measure distance in kilometres practically In pairs, groups or as individuals estimate distance in kilometres and share their estimates |
Metre rule, 1 metre sticks, Tape measure | Written exercise, oral questions, observation, group discussion | |||
5 | 1 | Area |
By the end of the sub strand, the learner should be able to;
|
How can you determine the area of different surfaces? | In pairs, groups or as individuals measure, trace and cut out 1 cm by 1 cm units, and refer the area of each as one square centimetre (1 cm2) In pairs or as individuals play digital games involving area. |
Square cut outs, 1 cm squares, 1 m squares | Written exercise, oral questions, observation, group discussion | ||
2 | Area |
By the end of the sub strand, the learner should be able to;
|
How can you determine the area of different surfaces? | In pairs, groups or as individuals measure, trace and cut out 1 cm by 1 cm units, and refer the area of each as one square centimetre (1 cm2) In pairs or as individuals play digital games involving area. |
Square cut outs, 1 cm squares, 1 m squares | Written exercise, oral questions, observation, group discussion | |||
3 | Area |
By the end of the sub strand, the learner should be able to;
|
How can you determine the area of different surfaces? | In pairs, groups or as individuals measure, trace and cut out 1 cm by 1 cm units, and refer the area of each as one square centimetre (1 cm2) In pairs or as individuals play digital games involving area. |
Square cut outs, 1 cm squares, 1 m squares | Written exercise, oral questions, observation, group discussion | |||
4 | Area |
By the end of the sub strand, the learner should be able to;
|
How can you determine the area of different surfaces? | In pairs, groups or as individuals measure, trace and cut out 1 cm by 1 cm units, and refer the area of each as one square centimetre (1 cm2) In pairs or as individuals play digital games involving area. |
Square cut outs, 1 cm squares, 1 m squares | Written exercise, oral questions, observation, group discussion | |||
5 | Area |
By the end of the sub strand, the learner should be able to;
|
How can you determine the area of different surfaces? | In pairs, groups or as individuals measure, trace and cut out 1 cm by 1 cm units, and refer the area of each as one square centimetre (1 cm2) In pairs or as individuals play digital games involving area. |
Square cut outs, 1 cm squares, 1 m squares | Written exercise, oral questions, observation, group discussion | |||
6 | 1 | Area |
By the end of the sub strand, the learner should be able to;
|
How can you determine the area of different surfaces? | In pairs, groups or as individuals measure, trace and cut out 1 cm by 1 cm units, and refer the area of each as one square centimetre (1 cm2) In pairs or as individuals play digital games involving area. |
Square cut outs, 1 cm squares, 1 m squares | Written exercise, oral questions, observation, group discussion | ||
2 | Volume |
By the end of the sub strand, the learner should be able to;
|
Where is volume applicable in real life? | In pairs, groups or as individuals measure the sides of a 1cm cube and identify it as a unit of measuring volume In pairs or as individuals use IT devices to play digital games involving volumes |
Cubes, cuboids, videos | Written exercise, oral questions, observation, group discussion | |||
3 | Volume |
By the end of the sub strand, the learner should be able to;
|
Where is volume applicable in real life? | In pairs, groups or as individuals measure the sides of a 1cm cube and identify it as a unit of measuring volume In pairs or as individuals use IT devices to play digital games involving volumes |
Cubes, cuboids, videos | Written exercise, oral questions, observation, group discussion | |||
4 | Volume |
By the end of the sub strand, the learner should be able to;
|
Where is volume applicable in real life? | In pairs, groups or as individuals to count number of cubes on the length and multiply by the number in the width and number of layers. The learners to establish the formula for volume (v) of a cube or cuboid as V=L×W×H In pairs or as individuals arrange a number of cubes along the length, width and vary the number of layers In pairs, groups or as individuals count the number of cubes used in activity above and record |
Cubes, cuboids, videos | Written exercise, oral questions, observation, group discussion | |||
5 | Volume |
By the end of the sub strand, the learner should be able to;
|
Where is volume applicable in real life? | In pairs, groups or as individuals to count number of cubes on the length and multiply by the number in the width and number of layers. The learners to establish the formula for volume (v) of a cube or cuboid as V=L×W×H In pairs or as individuals arrange a number of cubes along the length, width and vary the number of layers In pairs, groups or as individuals count the number of cubes used in activity above and record |
Cubes, cuboids, videos | Written exercise, oral questions, observation, group discussion | |||
7 | 1 | Volume |
By the end of the sub strand, the learner should be able to;
|
Where is volume applicable in real life? | In pairs or as individuals use IT devices to play digital games involving volumes In pairs or groups establish the total number of cubes represents the volume of the cube or cuboid formed In pairs, groups or as individuals work out the volume of cubes and cuboids in cubic centimetres |
Cubes, cuboids, videos | Written exercise, oral questions, observation, group discussion | ||
2 | Volume |
By the end of the sub strand, the learner should be able to;
|
Where is volume applicable in real life? | In pairs or as individuals use IT devices to play digital games involving volumes In pairs or groups establish the total number of cubes represents the volume of the cube or cuboid formed In pairs, groups or as individuals work out the volume of cubes and cuboids in cubic centimetres |
Cubes, cuboids, videos | Written exercise, oral questions, observation, group discussion | |||
3 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
4 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
5 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
8 | 1 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | ||
2 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
3 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
4 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
5 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
9 | 1 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | ||
2 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
3 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
4 | Capacity |
By the end of the sub strand, the learner should be able to;
|
Where are litres and millilitres used in day-to-day life? | In pairs, groups or as individuals fill teaspoon or cylinder graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres In pairs, groups or as individuals fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres. |
Teaspoons, videos, containers of different sizes, water, sand, soil | Written exercise, oral questions, observation, group discussion | |||
5 | Mass |
By the end of the sub strand, the learner should be able to;
|
What is the importance of measuring mass? | In pairs, groups or as individuals estimate and measure mass of items in grams using a beam balance or electronic weighing machine In pairs, groups or as individuals establish the relationship between the kilogram and the gram using a beam balance or electronic weighing machine (1kg = 1000g) |
Teaspoons, videos, beam balance, soil or sand, manual/electric weighing machine | Written exercise, oral questions, observation, group discussion | |||
11 | 1 | Mass |
By the end of the sub strand, the learner should be able to;
|
What is the importance of measuring mass? | In pairs, groups or as individuals estimate and measure mass of items in grams using a beam balance or electronic weighing machine In pairs, groups or as individuals establish the relationship between the kilogram and the gram using a beam balance or electronic weighing machine (1kg = 1000g) |
Teaspoons, videos, beam balance, soil or sand, manual/electric weighing machine | Written exercise, oral questions, observation, group discussion | ||
2 | Mass |
By the end of the sub strand, the learner should be able to;
|
What is the importance of measuring mass? | In pairs, groups or as individuals estimate and measure mass of items in grams using a beam balance or electronic weighing machine In pairs, groups or as individuals establish the relationship between the kilogram and the gram using a beam balance or electronic weighing machine (1kg = 1000g) |
Teaspoons, videos, beam balance, soil or sand, manual/electric weighing machine | Written exercise, oral questions, observation, group discussion | |||
3 | Mass |
By the end of the sub strand, the learner should be able to;
|
What is the importance of measuring mass? | In pairs, groups or as individuals estimate and measure mass of items in grams using a beam balance or electronic weighing machine In pairs, groups or as individuals establish the relationship between the kilogram and the gram using a beam balance or electronic weighing machine (1kg = 1000g) |
Teaspoons, videos, beam balance, soil or sand, manual/electric weighing machine | Written exercise, oral questions, observation, group discussion | |||
4 | Mass |
By the end of the sub strand, the learner should be able to;
|
What is the importance of measuring mass? | In pairs, groups or as individuals estimate and measure mass of items in grams using a beam balance or electronic weighing machine In pairs, groups or as individuals establish the relationship between the kilogram and the gram using a beam balance or electronic weighing machine (1kg = 1000g) |
Teaspoons, videos, beam balance, soil or sand, manual/electric weighing machine | Written exercise, oral questions, observation, group discussion | |||
5 | Mass |
By the end of the sub strand, the learner should be able to;
|
What is the importance of measuring mass? | In pairs, groups or as individuals estimate and measure mass of items in grams using a beam balance or electronic weighing machine In pairs, groups or as individuals establish the relationship between the kilogram and the gram using a beam balance or electronic weighing machine (1kg = 1000g) |
Teaspoons, videos, beam balance, soil or sand, manual/electric weighing machine | Written exercise, oral questions, observation, group discussion |
Bookmark Art and Craft Activities - Grade 5 Schemes of Work Term 2 2023
BOOKMARK ART AND CRAFT ACTIVITIES
Wk |
Ls n |
Strand/The me |
Sub strand |
Specific learning outcomes |
Key inquiry Questions |
Learning experiences |
Learning Resources |
Assessment methods |
Ref l |
1 |
1 |
INDEGINOUS KENYAN CRAFT |
Weaving: |
By the end of the lesson the learner should be able to
|
How do you prepare stiff materials for weaving? How do you prepare flexible materials for weaving? How do you ensure the weave structure is compacted during waving process? |
Learners guided:
|
Cutting tools Sisal stripping tools, weaving materials, maize stalk, reeds and twigs Bookmark Art and Craft Learners Bk. Grade 5 Pg. 29 Bookmark Art and Craft Grade 5 TG Pg. 42 |
|
|
2 |
Weaving: weaving materials |
By the end of the lesson the learner should be able to
|
How do you prepare stiff materials for weaving? How do you prepare flexible materials for weaving? How do you ensure the weave structure is compacted during waving process? |
Learners guided:
|
Cutting tools Sisal stripping tools, weaving materials, maize stalk, reeds and twigs Bookmark Art and Craft Learners Bk. Grade 5 Pg. 30-32 Bookmark Art and Craft Grade 5 TG Pg. 42-43 |
|
|||
2 |
1 |
Weaving loom |
By the end of the lesson the learner should be able to a. Demonstrate using a weaving loom b. Construct and use a simple weaving loom c. Critique own and other’s work Critique own and other’s work |
How do you prepare stiff materials for weaving? How do you prepare flexible materials for weaving? How do you ensure the weave structure is compacted during waving process?
|
Learners guided: In groups to observe actual and virtual samples of items made using plain and twined techniques.
|
Cutting tools Sisal stripping tools, weaving materials, maize stalk, reeds and twigs Bookmark Art and Craft Learners Bk. Grade 5 Pg. 33-34 Bookmark Art and Craft Grade 5 TG Pg. 43-44 |
|
||
2 |
Weaving loom |
By the end of the lesson the learner should be able to
|
How do you prepare stiff materials for weaving?
How do you prepare flexible materials for weaving? How do you ensure the weave structure is compacted during waving process? |
Learners guided:
|
Cutting tools Sisal stripping tools, weaving materials, maize stalk, reeds and twigs Bookmark Art and Craft Learners Bk. Grade 5 Pg. 33-34 Bookmark Art and Craft Grade 5 TG Pg. 43-44 |
Question and answer Portfolio Discussion, Observation Demonstration | |||
3 |
1 |
Weaving a mat in two colours using plain and twine technique |
By the end of the lesson the learner should be able to
|
How do you prepare stiff materials for weaving? How do you prepare flexible materials for weaving? How do you ensure the weave structure is compacted during waving process? |
Learners guided:
|
Cutting tools Sisal stripping tools, weaving materials, maize stalk, reeds and twigs Bookmark Art and Craft Learners Bk. Grade 5 Pg. 34-36 Bookmark Art and Craft Grade 5 TG Pg. 44-46 |
Question and answer Portfolio Discussion, Observation Demonstration | ||
2 | Weaving a mat in two colours using plain and twine technique |
By the end of the lesson the learner should be able to
|
How do you prepare stiff materials for weaving? How do you prepare flexible materials for weaving? How do you ensure the weave structure is compacted during waving process? |
Learners guided: - In groups to prepare the selected natural weaving materials (stiff materials or flexible materials) in groups. Cutting tools Sisal stripping tools, weaving materials, maize stalk, reeds and twigs |
|
Bookmark Art and Craft Learners Bk. Grade 5 Pg. 34-36 Bookmark Art and Craft Grade 5 TG Pg. 44-46 |
|||
4 | 1 |
Leather work: Thonging method |
By the end of the lesson the learner should be able to
|
Why should the Thonging strips be cut to even thickness? How can one ensure tension during Thonging process? Why should the holes on the leather pieces to be joined be evenly spaced? How does one ensure the thongs do not unravel after knotting? |
Learner guided :
|
Pencils papers, tracing papers, carbon paper, pen, stiff card or paper, used leather, awl, nails, mallet, blade Bookmark Art and Craft Learners Bk. Grade 5 Pg. 38 Bookmark Art and Craft Grade 5 TG Pg. 49 |
Question and answer Portfolio Discussion, Observation Demonstration | ||
2 |
Leather work: Thonging method – pencil case |
By the end of the lesson the learner should be able to
|
Why should the Thonging strips be cut to even thickness? How can one ensure tension during Thonging process? Why should the holes on the leather pieces to be joined be evenly spaced? How does one ensure the thongs do not unravel after knotting? |
Learner guided :
|
Pencils papers, tracing papers, carbon paper, pen, stiff card or paper, used leather, awl, nails, mallet, blade Bookmark Art and Craft Learners Bk. Grade 5 Pg. 39-42 Bookmark Art and Craft Grade 5 TG Pg. 49-52 |
Question and answer Portfolio Discussion, Observation Demonstration | |||
5 | 1 |
Leather work: Thonging method-Thonging method – pencil case |
By the end of the lesson the learner should be able to;
|
Why should the Thonging strips be cut to even thickness? How can one ensure tension during Thonging process? Why should the holes on the leather pieces to be joined be evenly spaced? How does one ensure the thongs do not unravel after knotting? |
Learner guided : - In groups to observe actual and virtual craft items made from leather and finished using Thonging method
|
Pencils papers, tracing papers, carbon paper, pen, stiff card or paper, used leather, awl, nails, mallet, blade
Bookmark Art and Craft Learners Bk. Grade 5 Pg. 39-42 Bookmark Art and Craft Grade 5 TG Pg. 49-52 |
Question and answer Portfolio Discussion, Observation Demonstration | ||
2 |
Leather work: Thonging method - Thonging method – pencil case |
By the end of the lesson the learner should be able to
|
Why should the Thonging strips be cut to even thickness? How can one ensure tension during Thonging process? Why should the holes on the leather pieces to be joined be evenly spaced? How does one ensure the thongs do not unravel after knotting? |
Learner guided :
|
Pencils papers, tracing papers, carbon paper, pen, stiff card or paper, used leather, awl, nails, mallet, blade Bookmark Art and Craft Learners Bk. Grade 5 Pg. 39-42 Bookmark Art and Craft Grade 5 TG Pg. 49-52 |
Question and answer Portfolio Discussion, Observation Demonstration | |||
6 | 1 |
Pottery: Coil Technique |
By the end of the lesson the learner should be able to
|
What techniques are used to decorate indigenous pottery? How are coils joined when making pots? How are coils made even in pottery making? What determines the shape of a traditional pot? |
Learner guided:
|
Clay, water, containers, stick or sharp tool, hollow stick, cutting tool Bookmark Art and Craft Learners Bk. Grade 5 Pg. 44 Bookmark Art and Craft Grade 5 TG Pg. 55 |
Question and answer Portfolio Discussion, Observation Demonstration What determines the choice of decoration made on a pot? |
||
2 | Pottery: modelling pottery items using coil technique |
By the end of the lesson the learner should be able to
|
What techniques are used to decorate indigenous pottery? How are coils joined when making pots? How are coils made even in pottery making? What determines the shape of a traditional pot? What determines the choice of decoration made on a pot? |
Learner guided:
|
Clay, water, containers, stick or sharp tool, hollow stick, cutting tool Bookmark Art and Craft Learners Bk. Grade 5 Pg. 45-46 Bookmark Art and Craft Grade 5 TG Pg. 55-57 |
Question and answer Portfolio Discussion, Observation Demonstration What determines the choice of decoration made on a pot? |
|||
7 | 1 | Pottery: Decorating modelled clay articles |
By the end of the lesson the learner should be able to
|
What techniques are used to decorate indigenous pottery? How are coils joined when making pots? How are coils made even in pottery making? What determines the shape of a traditional pot? What determines the choice of decoration made on a pot? |
Learner guided:
|
Clay, water, containers, stick or sharp tool, hollow stick, cutting tool Bookmark Art and Craft Learners Bk. Grade 5 Pg. 45-46 Bookmark Art and Craft Grade 5 TG Pg. 55-57 |
Question and answer Portfolio Discussion, Observation Demonstration What determines the choice of decoration made on a pot? |
||
2 | Pottery: Decorating modelled clay articles |
By the end of the lesson the learner should be able to
|
What techniques are used to decorate indigenous pottery? How are coils joined when making pots? How are coils made even in pottery making? What determines the shape of a traditional pot? What determines the choice of decoration made on a pot? |
Learner guided:
|
Clay, water, containers, stick or sharp tool, hollow stick, cutting tool Bookmark Art and Craft Learners Bk. Grade 5 Pg. 45-46 Bookmark Art and Craft Grade 5 TG Pg. 55-57 |
Question and answer Portfolio Discussion, Observation Demonstration What determines the choice of decoration made on a Question and answer Portfolio Discussion, Observation Demonstrationot? |
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8 | 1 | Sculpture |
|
By the end of the lesson the learner should be able to
|
Which technique can we use to decorate a cooking stick/ladle? What determined the choice of decoration made on a cooking stick/ladle? |
Learner guided:
|
Samples of sculptural forms Samples of cooking sticks ICT devices Bookmark Art and Craft Learners Bk. Grade 5 Pg. 49 Bookmark Art and Craft Grade 5 TG Pg. 60-61 |
Question and answer Portfolio Discussion, Observation Demonstration | |
2 |
Materials and tools in sculpture |
By the end of the lesson the learner should be able to
|
Which technique can we use to decorate a cooking stick/ladle? What determined the choice of decoration made on a cooking stick/ladle? |
Learner guided:
|
Samples of sculptural forms Samples of cooking sticks ICT devices Bookmark Art and Craft Learners Bk. Grade 5 Pg. 49 Bookmark Art and Craft Grade 5 TG Pg. 60-61 |
Question and answer Portfolio Discussion, Observation Demonstration | |||
9 | 1 | Carving a wooden stick or ladle |
By the end of the lesson the learner should be able to
|
Which technique can we use to decorate a cooking stick/ladle? What determined the choice of decoration made on a cooking stick/ladle? |
Learner guided:
|
Samples of sculptural forms Samples of cooking sticks ICT devices Bookmark Art and Craft Learners Bk. Grade 5 Pg. 51 Bookmark Art and Craft Grade 5 TG Pg. 62 |
Question and answer Portfolio, Discussion, Observation Demonstration | ||
2 | Decorating a wooden cooking stick |
By the end of the lesson the learner should be able to
|
Which technique can we use to decorate a cooking stick/ladle? What determined the choice of decoration made on a cooking stick/ladle? |
Learner guided:
|
Samples of sculptural forms Samples of cooking sticks ICT devices Bookmark Art and Craft Learners Bk. Grade 5 Pg. 53-54 Bookmark Art and Craft Grade 5 TG Pg. 63-64 |
Question and answer Portfolio, Discussion, Observation Demonstration | |||
10 | 1 | Graphic Design: Letter construction |
By the end of the lesson the learner should be able to
|
How are Roman block letters constructed? Which tools are used in constructing letters? What do you understand by 3D letters? What methods can be used in decorating letters to enhance 3 dimensional effects? |
Learners guide:
|
Actual and virtual samples of constructed 2 D and 3 D letters ICT devices Bookmark Art and Craft Learners Bk. Grade 5 Pg. 56-57 Bookmark Art and Craft Grade 5 TG Pg. 67-68 |
Question and answer Portfolio Discussion, Observation Demonstration | ||
2 | Graphic Design: Construct a 3 dimensional letters |
By the end of the lesson the learner should be able to
|
How are Roman block letters constructed? Which tools are used in constructing letters? What do you understand by 3D letters? What methods can be used in decorating letters to enhance 3 dimensional effects? |
Learners guide:
|
Plain papers, rulers, pencils, crayons, paint brushes, water colours, poster Bookmark Art and Craft Learners Bk. Grade 5 Pg. 58-59 Bookmark Art and Craft Grade 5 TG Pg. 68-69 |
Question and answer Portfolio Discussion, Observation Demonstration | |||
11 | 1 | Graphic Design: Construct a 3 dimensional letters |
By the end of the lesson the learner should be able to
|
How are Roman block letters constructed? Which tools are used in constructing letters? What do you understand by 3D letters? What methods can be used in decorating letters to enhance 3 dimensional effects? |
Learners guide:
|
Plain papers, rulers, pencils, crayons, paint brushes, water colours, poster Bookmark Art and Craft Learners Bk. Grade 5 Pg. 58-59 Bookmark Art and Craft Grade 5 TG Pg. 68-69 |
|
||
2 | Graphic Design: Decorating letters using various techniques |
By the end of the lesson the learner should be able to
|
How are Roman block letters constructed? Which tools are used in constructing letters? What do you understand by 3D letters? What methods can be used in decorating letters to enhance 3 dimensional effects? |
Learners guide:
|
Plain papers, rulers, pencils, crayons, paint brushes, water colours, poster Bookmark Art and Craft Learners Bk. Grade 5 Pg. 59-60 Bookmark Art and Craft Grade 5 TG Pg. 70-71 |
|
KLB Visionary Mathematics Activities - Grade 5 Schemes of Work Term 1 2023
KLB VISIONARY MATHEMATICS ACTIVITIES
GRADE 5 SCHEMES OF WORK TERM 1 2023
Week | Lesson | Strand | Sub strand | Specific learning outcomes | Key inquiry questions | Learning experiences | Learning resources | Assessment | Remarks |
1 | 1 | Numbers | Whole numbers: place value | By the end of the sub strands, the learner should be able to:
|
Where is ordering of numbers used in real life? | In pairs, groups or as individuals identify place value of digits up to hundreds of thousands using place value apparatus | KLB Visionary Mathematics Grade 5 pg.1-3 |
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2 | Whole numbers: Total value |
By the end of the sub- strand, the learners should be able to:
|
Where is ordering of numbers used in real life? | learner is guided individually or in groups to: In pairs, groups or as individuals identify total value of digits up to hundreds of thousands using place value apparatus. |
KLB Visionary Mathematics Grade 5 pg.4 |
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3 | Whole numbers |
By the end of the sub- strand, the learners should be able to:
|
Where is ordering of numbers used in real life? | In pairs, groups or as individuals read numbers up to hundreds of thousands in symbols from number charts or cards. | KLB Visionary Mathematics Grade 5 pg.5-7 |
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4 | Whole numbers |
By the end of the sub-strand, the learner should be able to:
|
Where is ordering of numbers used in real life? | In pairs, groups or as individuals read and write numbers up to tens of thousands in words from number charts or cards. | KLB Visionary Mathematics Grade 5 pg.8-10 |
|
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5 | Whole numbers |
By the end of the sub- strand, the learners should be able to:
|
Where is ordering of numbers used in real life? | In pairs, groups or as individuals read numbers up to hundreds of thousands in symbols from number charts or cards | KLB Visionary Mathematics Grade 5 pg.10-12 |
|
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2 | 1 | Whole numbers |
By the end of the sub-strand, the learner should be able to:
|
Where is ordering of numbers used in real life? | In pairs, groups or as individuals round off numbers up to tens of thousands to the nearest hundred and thousand using number cards and share with other groups | KLB Visionary Mathematics Grade 5 pg.13-16 |
|
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2 | Whole numbers |
By the end of the sub- strand, the learners should be able to:
|
Where is ordering of numbers used in real life? | In pairs, groups or as individuals divide different numbers by 2, 5 and 10 and come up with divisibility rules | KLB Visionary Mathematics Grade 5 pg.17-20 |
|
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3 | Whole numbers |
By the end of the sub- strand, the learners should be able to:
|
Where is ordering of numbers used in real life? | In pairs, groups or as individuals divide different numbers by 2, 5 and 10 and come up with divisibility rules | KLB Visionary Mathematics Grade 5 pg.17-20 |
|
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4 | Whole numbers |
By the end of the sub-strand, the learner should be able to:
|
How do you find out whether a number can be divided by another? | In pairs, groups or as individuals identify factors and divisors of given numbers. | KLB Visionary Mathematics Grade 5 pg.21-23 |
|
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5 | Whole numbers |
By the end of the sub-strand, the learner should be able to:
|
How do you find out whether a number can be divided by another? | In pairs, groups or as individuals identify the common factors and divisors. | KLB Visionary Mathematics Grade 5 pg.21-23 |
|
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3 | 1 | Whole numbers |
By the end of the sub- strand, the learners should be able to:
|
How do you find out whether a number can be divided by another? | In pairs, groups or as individuals identify multiples of given numbers. | KLB Visionary Mathematics Grade 5 pg.24 |
|
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2 | Whole numbers |
By the end of the sub- strand, the learners should be able to:
|
How do you find out whether a number can be divided by another? | In pairs, groups or as individuals identify the common multiples. | KLB Visionary Mathematics Grade 5 pg.25 |
|
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3 | Whole numbers |
By the end of the sub- strand, the learners should be able to:
|
How do you find out whether a number can be divided by another? | In pairs, groups or as individuals determine the least common multiple. | KLB Visionary Mathematics Grade 5 pg.26-27 |
|
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4 | Whole numbers |
By the end of the sub-strand, the learner should be able to:
|
How do you find out whether a number can be divided by another? | In pairs or as individuals play digital games on involving numbers. | KLB Visionary Mathematics Grade 5 pg.27 |
|
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5 | Numbers | Addition |
By the end of the sub-strand, the learner should be able to:
|
How do you estimate the sum of given numbers? | In pairs, groups or as individuals add up to three 6-digit numbers without regrouping up to 1,000,000 using place value apparatus | KLB Visionary Mathematics Grade 5 pg.28-29 |
|
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4 | 1 | Addition |
By the end of the sub- strand, the learners should be able to:
|
How do you estimate the sum of given numbers? | In pairs, groups or as individuals add up to two 6-digit numbers with double regrouping up to 1,000,000 using place value apparatus | KLB Visionary Mathematics Grade 5 pg.29-31 |
|
||
2 | Addition |
By the end of the sub- strand, the learners should be able to:
|
Where do we use addition in real life? | In pairs, groups or as individuals estimate sums by rounding off the addends to the nearest hundred and thousand using a number line. | KLB Visionary Mathematics Grade 5 pg.35-36 |
|
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3 | Addition |
By the end of the sub-strand, the learner should be able to:
|
How do you create patterns in addition? | In pairs, groups or as individuals create patterns involving addition of numbers up to a sum of 1,000,000 using number cards and other resources | KLB Visionary Mathematics Grade 5 pg.37-38 |
|
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4 | Addition |
By the end of the sub- strand, the learners should be able to:
|
How do you create patterns in addition? | In pairs play digital games involving addition | KLB Visionary Mathematics Grade 5 pg.36 |
|
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5 | Subtraction |
By the end of the sub-strand the learner should be able to:
|
How do you work out estimate difference to the nearest hundred? | Learner is guided individually or in groups to: In pairs, groups or as individuals subtract up to 6-digit numbers without regrouping using place value apparatus |
KLB Visionary Mathematics Grade 5 pg.39-40 |
|
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5 | 1 | Subtraction |
By the end of the sub- strand, the learners should be able to:
|
How do you work out estimate difference to the nearest hundred? | In pairs, groups or as individuals subtract up to 6-digit numbers with regrouping using place value apparatus | KLB Visionary Mathematics Grade 5 pg.40-42 |
|
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2 | Subtraction |
Subtraction By the end of the sub- strand, the learners should be able to:
|
How do you work out estimate difference to the nearest hundred? | In pairs, groups or as individuals estimate difference by rounding off the minuend to the nearest hundred and thousand using a number line | KLB Visionary Mathematics Grade 5 pg.43-45 |
|
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3 | Subtraction |
Subtraction By the end of the sub- strand, the learners should be able to:
|
How do you work out estimate difference to the nearest hundred? | In pairs, groups or as individuals estimate difference by rounding off the subtrahend to the nearest hundred and thousand using a number line | KLB Visionary Mathematics Grade 5 pg.43-45 |
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4 | Subtraction |
Subtraction By the end of the sub- strand, the learners should be able to:
|
How do you work out estimate difference to the nearest hundred? | In pairs, groups or as individuals work out questions involving addition and subtraction | KLB Visionary Mathematics Grade 5 pg.46 |
|
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5 | Subtraction |
Subtraction By the end of the sub- strand, the learners should be able to:
|
How can you create number patterns involving subtraction? | In pairs, groups or as individuals create patterns involving subtraction of whole numbers from up to 1,000,000 using number charts | KLB Visionary Mathematics Grade 5 pg.47-48 |
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6 | 1 | Subtraction |
By the end of the sub-strand the learner should be able to:
|
How can you create number patterns involving subtraction? | In pairs or groups play digital games involving subtraction. play math puzzles | KLB Visionary Mathematics Grade 5 pg.47 |
|
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2 | Multiplication |
By the end of the sub-strand the learner should be able to:
|
Where is multiplication used in real life? | In pairs, groups or as individuals multiply up to a 3-digit number by up to a 2-digit number using different methods | KLB Visionary Mathematics Grade 5 pg.49-52 |
|
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3 | Multiplication |
By the end of the sub-strand the learner should be able to:
|
How can you estimate products of numbers? | In pairs, groups or as individuals estimate product by rounding off factors | KLB Visionary Mathematics Grade 5 pg.53 |
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4 | Multiplication |
By the end of the sub-strand the learner should be able to:
|
How can you estimate products of numbers? | In pairs, groups or as individuals estimate product by using compatibility of numbers | KLB Visionary Mathematics Grade 5 pg.54 |
|
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5 | Multiplication |
By the end of the sub-strand the learner should be able to:
|
How can you estimate products of numbers? | In pairs, groups or as individuals estimate product by own strategies. | KLB Visionary Mathematics Grade 5 pg.54 |
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7 | 1 | Multiplication |
By the end of the sub-strand the learner should be able to:
|
How can you form patterns involving multiplication? | In pairs, groups or individuals make patterns involving multiplication with products not exceeding 1000 groups learners to: | KLB Visionary Mathematics Grade 5 pg.55-56 |
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2 | Multiplication |
By the end of the sub-strand the learner should be able to:
|
How can you form patterns involving multiplication? | In pairs or groups play digital games involving multiplication of whole numbers | KLB Visionary Mathematics Grade 5 pg.55 |
|
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3 | Division |
By the end of the sub-strand the learner should be able to:
|
Where is division used in real life? | In pairs, groups or as individuals divide up to a 3-digit number by up to a 2-digit number where the dividend is greater than the divisor using long and short form | KLB Visionary Mathematics Grade 5 pg.57-59 |
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4 | Division |
By the end of the sub- strand, the learners should be able to:
|
Where is division used in real life? | In pairs, groups or as individuals demonstrate that multiplication is the opposite of division | KLB Visionary Mathematics Grade 5 pg.61-62 |
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5 | Division |
By the end of the sub- strand, the learners should be able to:
|
How can we estimate quotients? | In pairs, groups or as individuals estimate quotients by rounding off the dividend and divisor to the nearest ten | KLB Visionary Mathematics Grade 5 pg.62-63 |
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8 | 1 | Division |
By the end of the sub- strand, the learners should be able to;
|
How can we estimate quotients? | In pairs, groups or as individuals work out questions involving addition, subtraction, multiplication and division | KLB Visionary Mathematics Grade 5 pg.64-65 |
|
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2 | Division |
By the end of the sub- strand, the learners should be able to:
|
How can we estimate quotients? | In pairs, groups or as individuals create number games and puzzles involving division | KLB Visionary Mathematics Grade 5 pg.65-66 |
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3 | Fractions |
By the end of the sub-strand the learner should be able to:
|
Why do we order fractions in real life? | In pairs, groups or as individuals identify equivalent fractions using a fraction board or chart | KLB Visionary Mathematics Grade 5 pg.67-68 |
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4 | Fractions |
By the end of the sub-strand the learner should be able to:
|
Why do we order fractions in real life? | In pairs, groups or as individuals simplify given fractions using a fraction chart | KLB Visionary Mathematics Grade 5 pg.69-70 |
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5 | Fractions |
By the end of the sub-strand the learner should be able to:
|
Why do we order fractions in real life? | In pairs, groups or as individuals simplify given fractions using a fraction chart | KLB Visionary Mathematics Grade 5 pg.69-70 |
|
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9 | 1 | Fractions |
By the end of the sub-strand the learner should be able to:
|
Why do we order fractions in real life? | In pairs, groups or as individuals compare given fractions using paper cut outs and concrete objects | KLB Visionary Mathematics Grade 5 pg.70-71 |
|
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2 | Fractions |
By the end of the sub-strand the learner should be able to:
|
Where are fractions used in real life? | In pairs, groups or as individuals order given fractions in increasing and decreasing order using a number line, paper cut outs, real object | KLB Visionary Mathematics Grade 5 pg.71-73 |
|
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3 | Fractions |
By the end of the sub-strand the learner should be able to:
|
Where are fractions used in real life? | In pairs, groups or as individuals add two fractions with the same denominator using paper cut outs, number line, real objects | KLB Visionary Mathematics Grade 5 pg.74-75 |
|
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4 | Fractions |
By the end of the sub-strand the learner should be able to:
|
Where are fractions used in real life? | In pairs, groups or as individuals subtract two fractions with the same denominator using paper cut outs, number line, real objects | KLB Visionary Mathematics Grade 5 pg.76-77 |
|
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5 | Fractions |
By the end of the sub-strand the learner should be able to:
|
Where are fractions used in real life? | In pairs, groups or as individuals add and subtract two fractions by renaming one fraction using equivalent fractions | KLB Visionary Mathematics Grade 5 pg.77-79 |
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10 | END OF TERM EXAM |
PRIMARY MATHS PUPILS BOOKS 5 SCHEMES OF WORK TERM 3 2020/2021
WEEK | LESSON | TOPICS AND SUB-TOPICS | OBJECTIVES |
TEACHING AND LEARNING |
TEACHING AIDS | REFERENCES | REMARKS |
1 | Term Opening and Revision | ||||||
2 | 1-2 | SCALE DRAWING |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 151-152 | |
3 |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 153 | |||
4-5 |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 154-155 | |||
5,6, & 7 | Evaluation, Exercise and Revision |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 | ||
3 | 1-2 | TABLES AND GRAPHS |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 | |
3 |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 | |||
4-5 |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 156 | |||
6 |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 157-160 | |||
7 |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Pupil's Book 5 157-163 | |||
4 | Revision Exercise |
By the end of the lesson, the learner should be able to:
|
|
Primary Mathematics Pupil's Book 5 | |||
5-6 | 1-2 | MIXED EXERCISES |
By the end of the lesson, the learner should be able to:
|
|
Primary Mathematics Pupil's Book 5 164-186 | ||
7 | CHARTS |
By the end of the lesson, the learner should be able to:
|
|
|
Primary Mathematics Teacher's guide Book 5 171-175 |
||
8 | Revision and preparations for End Term 3 Exams | ||||||
9 | End Term 3 Exams and Closing |
KLB Form 3 Mathematics Schemes of Work Term 3 2020/2021
KLB Form 3 Mathematics Schemes of Work Term 3 2020/2021 | |||||||
WK NO. | L/NO. | TOPIC/SUB-TOPIC | LESSON OBJECTIVES | TEACHING/LEARNING ACTIVITIES | MATERIALS/RESOURCES | REFERENCES | REMARKS |
1 | 1 | Direct variation. | By the end of the lesson, the learner should be able to: Evaluate expressions involving direct variation |
Probing questions Worked examples Oral exercises Written exercises |
KLB BK III Pg. 194-7 | ||
2 | Inverse variation. | By the end of the lesson, the learner should be able to: Evaluate expressions involving inverse variations. |
Probing questions Drawing a graph showing inverse variation Worked examples Oral exercises Written exercises |
KLB BK III Pg.197-201 | |||
3, 4 | Partial variation. |
By the end of the lesson, the learner should be able to: |
Exposition Worked examples Oral exercises Written exercises |
KLB BK III Pg.201-4 | |||
5 | Formulating expressions on partial variation. | By the end of the lesson, the learner should be able to: Formulate expressions involving partial variations. Evaluate formulated expressions involving partial variations. |
Exposition Worked examples Oral exercises Written exercises |
KLB BK III Pg.201-4 | |||
6, 7 | Joint variation | By the end of the lesson, the learner should be able to: Evaluate given expressions involving joint variations. |
Review direct and inverse variation. Worked examples Written exercises |
KLB BK III Pg.204-5 | |||
2 | 1 | Further joint variation. | By the end of the lesson, the learner should be able to: Evaluate expressions involving joint variations and changing variables. |
Worked examples Written exercises Exercise review |
KLB BK III Pg.205-6 | ||
2 | SEQUENCES AND SERIES Sequences. |
By the end of the lesson, the learner should be able to: Determine the nth term in a sequence Deduce the rule used in the sequence. |
Guided discovery Oral exercises Written exercises |
KLB BK III Pg.207-8 | |||
3, 4 | Arithmetic sequence. | By the end of the lesson, the learner should be able to: Identify an arithmetic sequence Find unknown terms in an arithmetic sequence. |
Guided discovery Oral exercises Written exercises |
KLB BK III Pg.209-11 | |||
5 | Geometric sequence. | By the end of the lesson, the learner should be able to: Identify a geometric sequence Find unknown terms in a geometric sequence. |
Guided discovery Oral exercises Written exercises |
KLB BK III Pg.211-4 | |||
6, 7 | Arithmetic progression. | By the end of the lesson, the learner should be able to: Find numbers of term in an A.P. Find the sum of given terms of an A.P. |
Exposition Supervised practice Written exercise |
KLB BK III Pg.214-16 | |||
3 | 1 | Geometric progression. | By the end of the lesson, the learner should be able to: Find numbers of term in a G.P. Find the sum of given terms of a G.P. |
Guided discovery Oral exercises Written exercises |
KLB BK III Pg.216-220 | ||
2, 3 | Arithmetic and geometric progressions. | By the end of the lesson, the learner should be able to: Work out expressions involving both arithmetic and geometric progressions. |
Worked examples Supervised practice Mixed exercise |
Past exam papers | KLB BK III Pg.216-220 | ||
4 | VECTORS (II) Co-ordinates of a point in three dimensions. |
By the end of the lesson, the learner should be able to: State co-ordinates of a point in three dimensions. |
Q/A to review co-ordinates in two dimensions Exposition of Z-axis Oral exercise |
Wire mesh in three dimensions | KLB BK III Pg.221-2 | ||
5, 6 | Column vectors. | By the end of the lesson, the learner should be able to: Find a column vectors given two points. |
Q/A to review column vector and position vectors in two dimensions. Worked examples Written exercise |
KLB BK III Pg.223-6 | |||
7 | Column vectors in terms of unit vectors. | By the end of the lesson, the learner should be able to: Find a column vectors in terms of unit vectors. |
Q/A to review unit vectors in two dimensions. |
KLB BK III Pg.226-8 | |||
4 | 1, 2 | Magnitude of a vector. | By the end of the lesson, the learner should be able to: Find the magnitude of a vector in three dimensions. |
Q/A to review magnitude of a vector in two dimensions Worked examples Oral exercise Written exercise |
KLB BK III Pg.229-230 | ||
3, 4 | Parallel vectors. | By the end of the lesson, the learner should be able to: Identify parallel vectors. |
Worked examples Oral exercise Written exercise |
Geoboard | KLB BK III Pg.231-2 | ||
5, 6 | Collinear points. | By the end of the lesson, the learner should be able to: Show that three points are collinear. |
Worked examples Oral exercise Written exercise |
Geoboard | KLB BK III Pg.231-2 | ||
7 | Parallel vectors and collinear points. | By the end of the lesson, the learner should be able to: Evaluate parallel vectors and collinear points. |
Worked examples Oral exercise Written exercise |
Past exam papers | KLB BK III Pg.233-7 | ||
5 | 1, 2 | Internal division of a line. | By the end of the lesson, the learner should be able to: Determine the ratio a point divides a segmented line. |
Oral exercise Written exercise |
KLB BK III Pg.237-8 | ||
3, 4 | External division of a line. | By the end of the lesson, the learner should be able to: Determine the ratio an external point divides a segmented line. |
Oral exercise Written exercise |
KLB BK III Pg.238-9 | |||
5, 6 | The ratio theorem. | By the end of the lesson, the learner should be able to: Apply the ratio theorem. |
Guided discovery Worked examples |
KLB BK III Pg.240-8 | |||
7 | Using the ratio theorem. | By the end of the lesson, the learner should be able to: Apply the ratio theorem. |
Guided discovery Worked examples |
KLB BK III Pg.240-8 | |||
6 | 1 | Vectors and geometry. | By the end of the lesson, the learner should be able to: Apply vectors in geometry. |
Worked examples Oral exercise Written exercise Exercise review |
KLB BK III Pg.249-250 | ||
2 | BIONOMIAL EXPANSIONS. Pascal's triangle. |
By the end of the lesson, the learner should be able to: Use Pascal's triangle to determine coefficients of terms of a binomial expression. |
Q/A to review expansion of quadratic expressions Exposition of new concepts |
Mathematical tables | KLB BK III Pg.256-8 | ||
3 | Binomial expressions. | By the end of the lesson, the learner should be able to: Expand binomial expressions. |
Worked examples Supervised practice Written exercise |
Mathematical tables | KLB BK III Pg.256-8 | ||
4 | Further binomial expressions. | By the end of the lesson, the learner should be able to: Expand further binomial expressions. |
Worked examples Supervised practice Written exercise |
Mathematical tables | KLB BK III Pg.258-9 | ||
5 | Application of binomial expressions | By the end of the lesson, the learner should be able to: Evaluate binomial expressions. |
Worked examples Supervised practice Compare results with a calculator Written exercise |
Mathematical tables Calculator |
KLB BK III Pg.260-1 | ||
6, 7 | Further application of binomial expressions. | By the end of the lesson, the learner should be able to: Evaluate further binomial expressions. |
Worked examples Supervised practice Compare results with a calculator Written exercise Exercise review |
Mathematical tables Calculator |
KLB BK III Pg.260-1 | ||
7 | 1 | PROBABILITY Experimental probability. |
By the end of the lesson, the learner should be able to: Define probability. Find experimental probability. |
Practical activities Guided discovery Simple problem solving |
KLB BK III Pg.262-6 | ||
2 | Probability sample space. | By the end of the lesson, the learner should be able to: Define a probability sample space. Determine probability sample space. |
Exposition leading to discovery of sample space Simple problem solving |
KLB BK III Pg.266-270 | |||
3 | Theoretical probability. | By the end of the lesson, the learner should be able to: Find theoretical probability form given situations. |
Worked examples Written exercise |
KLB BK III Pg.270-2 | |||
4, 5 | Mutually excusive events. | By the end of the lesson, the learner should be able to: Identify mutually exclusive events. Determine the probability of mutually exclusive events. |
Exposition Worked examples Written exercise |
KLB BK III Pg.272-4 | |||
6, 7 | C.A.T & MID-TERM BREAK | KLB BK III Pg.274-6 | |||||
8 | 1 | Independent events. | By the end of the lesson, the learner should be able to: Identify independent events. Determine probability of independent events. |
Exposition Worked examples Written exercise |
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2 | Mutually excusive and independent events. | By the end of the lesson, the learner should be able to: Determine the probability of both independent and mutually exclusive events. |
Worked examples Supervised practice Written exercise |
KLB BK III Pg.277-282 | |||
3 | Further mutually excusive and independent events. | By the end of the lesson, the learner should be able to: Determine the probability of both independent and mutually exclusive events. |
Problem solving Exercises review |
KLB BK III Pg.277-282 | |||
4 | Tree diagrams. | By the end of the lesson, the learner should be able to: Illustrate probability spaces with tree diagrams. |
Guided discovery Completing tree diagrams Worked examples Supervised practice Written exercise |
KLB BK III Pg.282-7 | |||
5, 6 | Probability using tree diagrams. | By the end of the lesson, the learner should be able to: Use tree diagrams to work out probability. |
Guided discovery Worked examples Supervised practice Written exercise Exercise review |
KLB BK III Pg.282-7 | |||
7 | Further tree diagrams. | By the end of the lesson, the learner should be able to: Use tree diagrams to work out probability. |
Guided discovery Worked examples Supervised practice Written exercise Exercise review |
KLB BK III Pg.282-7 | |||
9 | 1 | COMPOUND PROPORTION AND RATE OF WORK Proportion. |
By the end of the lesson, the learner should be able to: Identify values that make continued proportional expressions. |
Probing questions Simple problem solving Oral exercise Written exercise |
KLB BK III Pg.288-291 | ||
2 | Proportion parts. | By the end of the lesson, the learner should be able to: Divide a figure in given proportional parts. |
Worked examples Supervised practice Written exercise |
KLB BK III Pg.291-3 | |||
3 | Rates of work. | By the end of the lesson, the learner should be able to: Evaluate sums on rates of work. |
Worked examples Supervised practice Written exercise Problem solving |
KLB BK III Pg.294-8 | |||
4 | Mixtures. | By the end of the lesson, the learner should be able to: Work out numerical questions involving mixtures. |
Worked examples Supervised practice Written exercise Problem solving |
KLB BK III Pg.295-8 | |||
5 | Rates of work and mixtures. | By the end of the lesson, the learner should be able to: Work out numerical questions involving rates of work and mixtures. |
Problem solving Exercise review |
KLB BK III Pg.294-8 | |||
6 | GRAPHICAL METHODS. Tables of functions. |
By the end of the lesson, the learner should be able to: Complete tables of given functions. |
Completing tables | Calculator | KLB BK III Pg.299-300 | ||
7 | Graphs of functions. | By the end of the lesson, the learner should be able to: Draw graphs of given functions. |
Completing tables Drawing graphs Reading off values from the graphs |
Calculator Graph books |
KLB BK III Pg.300-1 | ||
10 | 1 | Cubic expressions. | By the end of the lesson, the learner should be able to: Identify cubic expressions. Draw graphs for cubic expressions. |
Completing tables Drawing graphs Reading off values from the graphs |
Calculator Graph books |
KLB BK III Pg.300-1 | |
2 | Solutions of cubic equations. | By the end of the lesson, the learner should be able to: Use graphs to find solutions of cubic equations. |
Completing tables Drawing graphs Reading off values from the graphs Solving equations |
Calculator Graph books |
KLB BK III Pg.301-4 | ||
3 | Average rate of change. | By the end of the lesson, the learner should be able to: Determine average rate of change of a variable with another. |
Interpreting graphs Drawing graphs Worked examples Written exercise |
Graph books | KLB BK III Pg.304-9 | ||
4 | Instantaneous rate of change. | By the end of the lesson, the learner should be able to: Determine rate of change of a variable at an instant. |
Interpreting graphs Worked examples Written exercise |
Graph books | KLB BK III Pg.309-15 | ||
5 | Empirical graphs. | By the end of the lesson, the learner should be able to: Draw graphs from empirical situations. |
Drawing graphs Reading off values from the graphs |
Graph books | KLB BK III Pg.315-8 | ||
6, 7 | Changing non-linear laws to linear form. | By the end of the lesson, the learner should be able to: Change non-linear laws to linear form. Complete tables for linear forms. |
Reduction of laws Completing tables Supervised practice |
Graph books | KLB BK III Pg.318-25 | ||
11 | 1 | Non-linear laws to linear form. | By the end of the lesson, the learner should be able to: Change non-linear laws to linear form. Draw suitable graphs from the laws. |
Completing tables Drawing graphs Supervised practice Written exercise |
Graph books Calculator |
KLB BK III Pg.318-25 | |
2 | Equation of a circle, center origin. | By the end of the lesson, the learner should be able to: Find equation of a circle with the center as the origin. |
Guided discovery Worked examples Written exercise |
KLB BK III Pg.325-6 | |||
3 | Equation of a circle, center (a, b) | By the end of the lesson, the learner should be able to: Find equation f a circle given center (a, b) |
Guided discovery Worked examples Supervised practice Written exercise |
KLB BK III Pg.326-7 | |||
4, 5 | Equation of a circle, given its diameter. | By the end of the lesson, the learner should be able to: Find the equation of a circle given its diameter. |
Review mid-point of a vector Worked examples Supervised practice Written exercise |
KLB BK III Pg.326-7 | |||
6, 7 | Center and radius of a circle. | By the end of the lesson, the learner should be able to: Determine center and radius of a circle from an equation. |
Review completing the square Worked examples Supervised practice Written exercise |
KLB BK III Pg.328-9 | |||
END OF YEAR EXAMS |