NUMBERS

Whole Numbers - Place value up to hundreds of millions
Whole Numbers - Total value of digits

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

- Identify place values of digits up to hundreds of millions.
- Write the place value of each digit in a given number.
- Appreciate the use of place values in real life situations.

In groups and individually, learners are guided to:
- Identify and write place values of digits using place value apparatus.
- Represent numbers in a place value chart.
- Write the place value of each digit in a number.
- Discuss real-life contexts where place values are used.

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

- Top Scholar Mathematics Grade 7 page 1.
- Place value charts.
- Number cards.
- Multiplication tables.
- Top Scholar Mathematics Grade 7 page 2.

- Oral questions. - Written exercise. - Observation. - Class activities.

NUMBERS

Whole Numbers - Total value of digits in real life
Whole Numbers - Reading and writing numbers in symbols

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

- Apply the concept of total value to solve real-life problems.
- Interpret the meaning of total value in different contexts.
- Show genuine interest in applying total value concepts to solve problems.

In groups and individually, learners are guided to:
- Solve real-life problems involving total value.
- Relate the concept of total value to money, measurement and other quantities.
- Discuss real-life scenarios where total value is applied.

Where do we use total value in daily life?

- Top Scholar Mathematics Grade 7 page 3.
- Number cards.
- Place value charts.
- Top Scholar Mathematics Grade 7 page 4.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Reading and writing numbers in words
Whole Numbers - Rounding off numbers to the nearest hundred thousands

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

- Read numbers in words up to millions.
- Write numbers in words up to millions.
- Appreciate the importance of correct number notation in words.

In groups and individually, learners are guided to:
- Practice writing numbers in words.
- Practice reading numbers in words.
- Fill out dummy cheques with amounts in words.
- Discuss contexts where writing numbers in words is important.

Where do we write numbers in words?

- Top Scholar Mathematics Grade 7 page 5.
- Number cards.
- Dummy cheques.
- Top Scholar Mathematics Grade 7 page 7.
- Place value charts.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

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

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

- Round off numbers to the nearest million.
- Apply rounding rules consistently.
- Show interest in estimating answers through rounding off.

In groups and individually, learners are guided to:
- Identify digits in the hundred thousands place value.
- Apply rounding rules based on the identified digit.
- Practice rounding different numbers to the nearest million.
- Discuss contexts where rounding to millions is practical.

When is it useful to round off to the nearest million?

- Top Scholar Mathematics Grade 7 page 8.
- Place value charts.
- Number cards.
- Top Scholar Mathematics Grade 7 page 9.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Rounding off numbers to the nearest hundreds of millions
Whole Numbers - Even and odd numbers

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

- Round off numbers to the nearest hundred million.
- Apply rounding rules consistently.
- Show interest in using rounded numbers in real-life situations.

In groups and individually, learners are guided to:
- Identify digits in the ten millions place value.
- Apply rounding rules based on the identified digit.
- Practice rounding to the nearest hundred million.
- Relate rounding to real life contexts involving large numbers.

Where do we apply rounding off to hundreds of millions?

- Top Scholar Mathematics Grade 7 page 10.
- Place value charts.
- Number cards.
- Top Scholar Mathematics Grade 7 page 11.
- Number charts.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Prime numbers
Whole Numbers - Operations of whole numbers

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

- Identify prime numbers from a set of natural numbers.
- Define a prime number as a number with exactly two factors.
- Show interest in prime numbers and their properties.

In groups and individually, learners are guided to:
- List all factors of given numbers.
- Identify numbers with exactly two factors.
- Sort out prime numbers from a given set.
- Discuss patterns of prime numbers.

What makes a number prime?

- Top Scholar Mathematics Grade 7 page 12.
- Number cards.
- Factor charts.
- Top Scholar Mathematics Grade 7 page 13.
- Calculators.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Operations of whole numbers in real life situations
Whole Numbers - Number sequences involving addition and subtraction

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

- Apply operations of whole numbers to solve real-life problems.
- Interpret and solve word problems involving whole numbers.
- Show interest in applying mathematics to real-life situations.

In groups and individually, learners are guided to:
- Solve word problems involving whole numbers.
- Interpret real-life scenarios and apply appropriate operations.
- Share and discuss solutions to real-life problems.
- Appreciate the relevance of mathematics in daily life.

How do we use operations in daily activities?

- Top Scholar Mathematics Grade 7 page 14.
- Calculators.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 15.
- Number cards.
- Sequence charts.

- Written exercise. - Oral questions. - Class activities. - Project work.

NUMBERS

Whole Numbers - Number sequences involving multiplication and division
Whole Numbers - Creating number sequences

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

- Identify patterns in sequences involving multiplication and division.
- Find the rule in sequences involving multiplication and division.
- Show enthusiasm in creating and solving number sequence puzzles.

In groups and individually, learners are guided to:
- Identify patterns in sequences involving multiplication and division.
- Determine the rule used to generate such sequences.
- Find missing numbers in sequences.
- Create their own sequences using multiplication or division rules.

How do we identify multiplication or division patterns?

- Top Scholar Mathematics Grade 7 page 16.
- Number cards.
- Sequence charts.
- Top Scholar Mathematics Grade 7 page 17.
- Paper cut-outs.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Factors - Divisibility test for 2, 3 and 6
Factors - Divisibility test for 4 and 8

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

- Apply divisibility tests for 2, 3, and 6.
- Identify numbers divisible by 2, 3, and 6.
- Show interest in applying divisibility tests to check answers.

In groups and individually, learners are guided to:
- Apply divisibility test for 2 (last digit is 0, 2, 4, 6, or 8).
- Apply divisibility test for 3 (sum of digits divisible by 3).
- Apply divisibility test for 6 (divisible by both 2 and 3).
- Solve problems using these divisibility tests.

How do we test divisibility of numbers by 2, 3, and 6?

- Top Scholar Mathematics Grade 7 page 24.
- Number cards.
- Multiplication tables.
- Top Scholar Mathematics Grade 7 page 27.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Factors - Divisibility test for 5, 9 and 10
Factors - Divisibility test for 11

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

- Apply divisibility tests for 5, 9, and 10.
- Identify numbers divisible by 5, 9, and 10.
- Show interest in quick mental calculations using divisibility tests.

In groups and individually, learners are guided to:
- Apply divisibility test for 5 (last digit is 0 or 5).
- Apply divisibility test for 9 (sum of digits divisible by 9).
- Apply divisibility test for 10 (last digit is 0).
- Solve problems using these divisibility tests.

How do we test divisibility of numbers by 5, 9, and 10?

- Top Scholar Mathematics Grade 7 page 28.
- Number cards.
- Multiplication tables.
- Top Scholar Mathematics Grade 7 page 32.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Factors - Expressing numbers as product of prime factors
Factors - Greatest Common Divisor (GCD)

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

- Express composite numbers as products of prime factors.
- Use factor trees or factor rainbows to find prime factors.
- Appreciate the uniqueness of prime factorization.

In groups and individually, learners are guided to:
- Use factor trees to find prime factors of numbers.
- Express numbers as products of their prime factors.
- Compare different ways of finding prime factors.
- Discuss the fundamental theorem of arithmetic.

How do we express composite numbers as products of prime factors?

- Top Scholar Mathematics Grade 7 page 33.
- Number cards.
- Factor charts.
- Top Scholar Mathematics Grade 7 page 34.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Factors - Least Common Multiple (LCM)
Factors - Application of GCD and LCM

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

- Find the LCM of two or more numbers using multiples.
- Apply the LCM in solving real-life problems.
- Develop confidence in solving problems involving LCM.

In groups and individually, learners are guided to:
- List multiples of given numbers.
- Identify common multiples.
- Find the lowest common multiple (LCM).
- Apply LCM to solve real-life problems.

What is the LCM and how do we use it?

- Top Scholar Mathematics Grade 7 page 35.
- Number cards.
- Multiple charts.
- Top Scholar Mathematics Grade 7 page 38.
- Word problem cards.
- Containers of different capacities.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Comparing fractions
Fractions - Arranging fractions in ascending and descending order

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

- Compare fractions with the same denominator.
- Compare fractions with different denominators.
- Show interest in comparing quantities expressed as fractions.

In groups and individually, learners are guided to:
- Compare fractions with the same denominator.
- Express fractions with different denominators using a common denominator.
- Compare fractions with different denominators.
- Play fraction comparison games using number cards.

How do we compare fractions?

- Top Scholar Mathematics Grade 7 page 40.
- Fraction cards.
- Number cards.
- Cut-outs.
- Top Scholar Mathematics Grade 7 page 42.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Adding fractions
Fractions - Subtracting fractions

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

- Add fractions with the same denominator.
- Add fractions with different denominators.
- Show interest in using fractions to solve problems.

In groups and individually, learners are guided to:
- Add fractions with the same denominator.
- Find LCM of denominators.
- Express fractions with a common denominator before addition.
- Solve real-life problems involving addition of fractions.

How do we add fractions with different denominators?

- Top Scholar Mathematics Grade 7 page 45.
- Fraction cards.
- Paper cut-outs.
- Circular models.
- Top Scholar Mathematics Grade 7 page 47.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Multiplying fractions
Fractions - Reciprocal of fractions

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

- Multiply a fraction by a whole number.
- Multiply a fraction by another fraction.
- Show interest in using multiplication of fractions in real-life.

In groups and individually, learners are guided to:
- Multiply fractions by whole numbers.
- Multiply fractions by fractions.
- Simplify answers where possible.
- Solve real-life problems involving multiplication of fractions.

How do we multiply fractions?

- Top Scholar Mathematics Grade 7 page 49.
- Fraction cards.
- Rectangular cut-outs.
- Grid paper.
- Top Scholar Mathematics Grade 7 page 51.
- Number cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Dividing fractions
Fractions - Sequence of fractions

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

- Divide a fraction by a whole number.
- Divide a fraction by another fraction.
- Show interest in using division of fractions to solve problems.

In groups and individually, learners are guided to:
- Divide fractions by whole numbers.
- Divide fractions by fractions using reciprocals.
- Solve word problems involving division of fractions.
- Discuss real-life applications of division of fractions.

How do we divide fractions?

- Top Scholar Mathematics Grade 7 page 52.
- Fraction cards.
- Number cards.
- Cut-outs.
- Top Scholar Mathematics Grade 7 page 54.
- Sequence charts.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Decimals - Place value and total value of decimals
Decimals - Addition and subtraction of decimals

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

- Identify place values in decimal numbers.
- Find the total value of digits in decimal numbers.
- Appreciate the importance of decimals in measurements.

In groups and individually, learners are guided to:
- Read and write decimal numbers.
- Identify place values of digits in decimal numbers.
- Calculate total values of digits in decimal numbers.
- Relate decimals to real-life measurements.

What is the place value of a digit in a decimal number?

- Top Scholar Mathematics Grade 7 page 56.
- Decimal place value charts.
- Number cards.
- Top Scholar Mathematics Grade 7 page 58.
- Decimal number cards.
- Calculators.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Decimals - Multiplication of decimals
Decimals - Division of decimals

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

- Multiply decimals by whole numbers.
- Multiply decimals by decimals.
- Develop confidence in performing calculations with decimals.

In groups and individually, learners are guided to:
- Multiply decimals by whole numbers.
- Multiply decimals by decimals.
- Count decimal places in the product.
- Solve real-life problems involving multiplication of decimals.

How do we multiply decimal numbers?

- Top Scholar Mathematics Grade 7 page 59.
- Decimal number cards.
- Calculators.
- Cut-outs.
- Top Scholar Mathematics Grade 7 page 61.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Squares and Square Roots - Squares of whole numbers
Squares and Square Roots - Squares of fractions

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

- Find squares of whole numbers by multiplication.
- Use calculators to find squares of numbers.
- Appreciate the concept of square numbers in mathematics.

In groups and individually, learners are guided to:
- Use long multiplication to find squares of numbers.
- Use calculators to find squares of larger numbers.
- Identify patterns in square numbers.
- Relate square numbers to areas of squares.

What are square numbers and how do we calculate them?

- Top Scholar Mathematics Grade 7 page 65.
- Calculators.
- Grid paper.
- Number cards.
- Top Scholar Mathematics Grade 7 page 66.
- Fraction cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Squares and Square Roots - Squares of decimals
Squares and Square Roots - Square roots of whole numbers

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

- Find squares of decimal numbers.
- Use calculators to find squares of decimals.
- Develop confidence in squaring decimal numbers.

In groups and individually, learners are guided to:
- Use long multiplication to square decimal numbers.
- Use calculators to find squares of decimals.
- Count decimal places in the answer.
- Solve problems involving squares of decimals.

How do we find the square of a decimal number?

- Top Scholar Mathematics Grade 7 page 67.
- Decimal number cards.
- Calculators.
- Top Scholar Mathematics Grade 7 page 68.
- Number cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Squares and Square Roots - Square roots of fractions
Squares and Square Roots - Square roots of decimals

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

- Find square roots of fractions.
- Use calculators to find square roots of fractions.
- Show interest in solving problems involving square roots of fractions.

In groups and individually, learners are guided to:
- Find square roots of numerators and denominators separately.
- Use calculators to find square roots of fractions.
- Solve problems involving square roots of fractions.
- Discuss applications of square roots of fractions.

How do we find the square root of a fraction?

- Top Scholar Mathematics Grade 7 page 71.
- Fraction cards.
- Calculators.
- Top Scholar Mathematics Grade 7 page 72.
- Decimal number cards.

- Written exercise. - Oral questions. - Class activities.