Numbers

Whole Numbers - Place value and total value (up to hundreds of millions)

By the end of the lesson, the learner should be able to:

- Identify the place value of digits up to hundreds of millions in real life
- Explain the concept of place value in numbers
- Show interest in identifying place values of digits in numbers

- Identify and write place value and total value of digits using place value apparatus
- Work in groups to make number cards like the ones shown on page 1
- Arrange the cards in any order to form 9-digit numbers
- Use a place value chart to identify the place value of each digit in the numbers

Why do we write numbers in words and/or symbols?

Oxford Active Mathematics pg. 1
- Place value apparatus
- Number cards
- Place value charts
Oxford Active Mathematics pg. 2

- Observation - Oral questions - Written assignments

Numbers

Whole Numbers - Total value of digits in a number
Whole Numbers - Reading and writing numbers using cards
Whole Numbers - Reading and writing numbers using number charts
Whole Numbers - Reading and writing numbers in words
Whole Numbers - Reading and writing numbers in words

By the end of the lesson, the learner should be able to:

- Define the total value of a digit
- Calculate the total value of digits up to hundreds of millions
- Show interest in identifying total values of digits

- In pairs, discuss how to identify the total value of digits in a number
- Use place value charts to determine the total value of digits
- Solve problems involving total value of digits

What is the meaning of total value?

Oxford Active Mathematics pg. 3
- Place value charts
- Number cards
Oxford Active Mathematics pg. 4
Oxford Active Mathematics pg. 5
Oxford Active Mathematics pg. 6
- Number charts
Oxford Active Mathematics pg. 7
- Dummy cheques
- Writing materials
Oxford Active Mathematics pg. 8

- Oral questions - Written tests - Class activities

Numbers

Whole Numbers - Rounding off numbers to the nearest million
Whole Numbers - Rounding off numbers to the nearest tens of million
Whole Numbers - Rounding off numbers to the nearest hundreds of million

By the end of the lesson, the learner should be able to:

- Explain the concept of rounding off numbers
- Round off numbers to the nearest million
- Recognize the importance of rounding off in real life

- Use place value charts and number cards to form 7-digit and 8-digit numbers
- Round off each number to the nearest million
- Discuss the rule for rounding off to the nearest million

How do we round off numbers to the nearest million?

Oxford Active Mathematics pg. 9
- Place value charts
- Number cards
Oxford Active Mathematics pg. 10
Oxford Active Mathematics pg. 11

- Observation - Oral questions - Written tests

Numbers

Whole Numbers - Classification of natural numbers (even and odd)
Whole Numbers - Classification of natural numbers (prime numbers)
Whole Numbers - Addition of whole numbers

By the end of the lesson, the learner should be able to:

- Identify even and odd numbers
- Classify numbers as even or odd
- Show interest in classifying numbers

- Sort numbers into those divisible by two and those that are not
- Study pictures of bench arrangements with different numbers of bricks
- Note patterns in how the benches slant based on number of bricks
- Classify numbers as even or odd based on divisibility by 2

What are even numbers? What are odd numbers?

Oxford Active Mathematics pg. 12
- Number cards
- Pieces of paper
Oxford Active Mathematics pg. 13
- Worksheets
Oxford Active Mathematics pg. 14
- Blank cards

- Observation - Oral questions - Written assignments

Numbers

Whole Numbers - Subtraction of whole numbers
Whole Numbers - Multiplication of whole numbers
Whole Numbers - Division of whole numbers

By the end of the lesson, the learner should be able to:

- Subtract whole numbers with regrouping
- Create and solve subtraction word problems
- Show interest in using subtraction to solve problems

- Make number cards and form two 7-digit numbers
- Use the numbers to form subtraction word problems
- Discuss use of place value in subtraction
- Solve practical problems involving subtraction

When do we use subtraction of numbers in real life?

Oxford Active Mathematics pg. 15
- Number cards
Oxford Active Mathematics pg. 16
Oxford Active Mathematics pg. 17

- Observation - Oral questions - Written tests

Numbers

Whole Numbers - Combined operations of whole numbers
Whole Numbers - Identifying number sequences
Whole Numbers - Creating number sequences

By the end of the lesson, the learner should be able to:

- Identify the correct order of operations
- Solve problems involving combined operations
- Appreciate the importance of following the correct order of operations

- Choose expressions from number cards and perform operations
- Discuss the order of operations (BODMAS)
- Create and solve problems involving combined operations
- Discuss real-life applications of combined operations

What are combined operations? How do we perform combined operations?

Oxford Active Mathematics pg. 18
- Number cards
Oxford Active Mathematics pg. 19
Oxford Active Mathematics pg. 20

- Observation - Oral questions - Written assignments

Numbers

Factors - Divisibility tests of 2, 3 and 4

By the end of the lesson, the learner should be able to:

- State the divisibility test for 2
- Apply the divisibility test for 2 to identify numbers divisible by 2
- Appreciate the use of divisibility tests in real life

- Make number cards and form different numbers
- Divide each number by 2
- Identify pattern for numbers divisible by 2
- Discuss the divisibility test for 2

Where do we use factors in day to day activities?

Oxford Active Mathematics pg. 31
- Number cards
- Worksheets
Oxford Active Mathematics pg. 32
- Blank number cards

- Observation - Oral questions - Written tests

Numbers

Factors - Divisibility tests of 2, 3 and 4
Factors - Divisibility tests of 5, 6 and 8
Factors - Divisibility tests of 9, 10 and 11

By the end of the lesson, the learner should be able to:

- State the divisibility test for 4
- Apply the divisibility test for 4 to identify numbers divisible by 4
- Show interest in applying divisibility tests

- Make number cards and divide numbers by 4
- Check if numbers formed by last two digits are divisible by 4
- Discuss the divisibility test for 4
- Solve problems using divisibility tests for 2, 3, and 4

How do we test if a number is divisible by 4?

Oxford Active Mathematics pg. 33
- Number cards
Oxford Active Mathematics pg. 34
- Worksheets
Oxford Active Mathematics pg. 35
- Blank cards

- Observation - Oral questions - Written tests

Numbers

Factors - Composite numbers
Factors - Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
Fractions - Comparing fractions

By the end of the lesson, the learner should be able to:

- Define composite numbers
- Express composite numbers as a product of prime factors
- Appreciate use of prime factorization

- Make a number chart and color boxes with composite numbers
- Express these numbers as products of prime factors
- Use different methods: factorization, factor tree, and factor rainbow
- Discuss applications of prime factorization

What are composite numbers? What are prime factors? How can we express a number as a product of its prime factors?

Oxford Active Mathematics pg. 36
- Number charts
Oxford Active Mathematics pg. 37-38
- Number cards
Oxford Active Mathematics pg. 46
- Pieces of paper
- Pair of scissors
- Ruler
- Pair of compasses

- Observation - Oral questions - Written assignments

Numbers

Fractions - Comparing fractions
Fractions - Addition of fractions
Fractions - Addition of fractions

By the end of the lesson, the learner should be able to:

- Compare fractions with different denominators
- Order fractions with different denominators
- Show interest in comparing fractions in real life

- Use fraction charts to compare portions of farm with different crops
- Rename fractions using LCM of denominators
- Arrange fractions in descending order
- Discuss applications of comparing fractions

How do we order fractions?

Oxford Active Mathematics pg. 47
- Fraction charts
Oxford Active Mathematics pg. 48
- Pair of scissors
- Pieces of paper
Oxford Active Mathematics pg. 49
- Fraction cards

- Observation - Oral questions - Written tests

Numbers

Fractions - Subtraction of fractions
Fractions - Multiplication of fractions

By the end of the lesson, the learner should be able to:

- Subtract fractions with the same denominator
- Explain the process of subtracting fractions
- Show interest in subtraction of fractions

- Make circular paper cut-outs divided into equal parts
- Shade parts and then shade some parts again
- Represent subtraction of fractions
- Solve problems involving subtraction of fractions

What steps do you take to subtract fractions with the same denominator?

Oxford Active Mathematics pg. 50
- Pair of scissors
- Pieces of paper
Oxford Active Mathematics pg. 51
- Fraction cards
Oxford Active Mathematics pg. 52
- Bottle tops
- Rectangular paper cut-outs

- Observation - Oral questions - Written assignments

Numbers

Fractions - Multiplication of fractions
Fractions - Division of fractions

By the end of the lesson, the learner should be able to:

- Multiply fractions by fractions and mixed numbers
- Explain the process of multiplying fractions
- Show interest in using multiplication of fractions

- Use pieces of paper to create a multiplication chart
- Multiply fractions by mixed numbers
- Convert mixed numbers to improper fractions
- Solve real-life problems involving multiplication of fractions

What steps do we follow to multiply fractions by fractions and mixed numbers?

Oxford Active Mathematics pg. 53
- Pieces of paper
- Piece of chalk/stick
Oxford Active Mathematics pg. 54-55
- Fraction cards
- Rectangular paper cut-out
- Ruler

- Observation - Oral questions - Written tests

Numbers

Fractions - Number sequences involving fractions
Decimals - Place value of digits in decimals

By the end of the lesson, the learner should be able to:

- Identify number sequences involving fractions
- Determine the rules in fraction sequences
- Value the use of number sequences

- Study sets of fractions and identify which set is a sequence
- Determine the rule linking fractions in a sequence
- Fill in missing fractions in sequences
- Solve puzzles involving fraction sequences

How do we identify a number sequence?

Oxford Active Mathematics pg. 57
- Pieces of paper
Oxford Active Mathematics pg. 58
- Worksheets
Oxford Active Mathematics pg. 68
- Number cards
- Place value charts

- Observation - Oral questions - Written tests

Numbers

Decimals - Total value of digits in decimals
Decimals - Multiplication of decimal numbers
Decimals - Multiplication of decimal numbers
Decimals - Division of decimal numbers
Decimals - Division of decimal numbers

By the end of the lesson, the learner should be able to:

- Identify total value of digits in decimals
- Solve problems involving total value of digits in decimals
- Appreciate use of total value in real life

- Choose decimal numbers and write on place value charts
- Identify place value of each digit
- Calculate total value of each digit
- Solve problems involving total value of digits in decimals

How do we identify the total value of digits in a decimal number?

Oxford Active Mathematics pg. 69
- Blank cards
- Place value charts
Oxford Active Mathematics pg. 70
- Number cards
Oxford Active Mathematics pg. 71
- Calculators
Oxford Active Mathematics pg. 72
- Chart
- Worksheets
Oxford Active Mathematics pg. 73

- Observation - Oral questions - Written assignments