# Mathematics New Scheme of Work for Lagos Junior Secondary Schools (JSS 1) 2021 Edition

MATHEMATICS

LAGOS STATE SCHEME UNIFIED SCHEMES OF WORK

JUNIOR SECONDARY SCHOOL (JSS 1)

FIRST TERM, SECOND TERM AND THIRD TERM

### WEEK 1

TOPIC – WHOLE NUMBERS

LEARNING AREA

1. Counting and Writing in Millions, Billions, Trillions and trillions.

2. Quantitative Reasoning

RATIONALE

1. Values of bigger numbers are used in the bank in terms of money and items.

2. Money of bigger values are used by parents to buy items like cars, houses.

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. identify millions among numbers.

2. differentiate between millions and billions

3. recognize trillions as a number.

4. apply large numbers in real life situations.

5. solve quantitative reasoning in exercises related to millions, billions and trillion.

TEACHER’S ACTIVITIES

1. Cut cardboard of different large numbers and ask the groups of students to label and identify some numbers in millions, billions and trillions.

2. Write and read in millions and billions.

3. Use counting charts to count in trillions.

4. Guide students in counting, writing and reading in large quanties.

5. Lead students to solve some problems on quantitative aptitude.

LEARNING ACTIVITIES

1. Count, write and read from 99,990 to 1,000,000 in hundreds and thousands.

3. Count, write and read in trillions.

4. Count, write and read in large quantities.

### WEEK 2

TOPIC – WHOLE NUMBERS (CONTINUATION)

LEARNING AREA

1. Counting and Writing in millions, billions, trillions and trillions.

2. Solving of quantitative reasoning using large numbers.

RATIONALE

1. Values of bigger numbers are used in the bank in terms of money and items.

2. Money of bigger values are used by parents to buy items like cars, houses.

3. Big items like cement, iron rods are measured in higher quantity.

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. apply large numbers in real life situations.

2. solve quantitative reasoning in exercises related to millions, billions and trillion.

TEACHER’S ACTIVITIES

1. Guide the learners to use codes 2456924708 which represent MATHEMATICS. Use the fact to compute the following – SCHEME, MATCHES, STITCHES, TITHES and THEME.

2. Guide students in counting, writing and reading in large quanties.

3. Lead students to solve some problems on quantitative aptitude.

LEARNING ACTIVITIES

1. Count, write and read in trillions.

2. Count, write and read in large quantities.

3. Relate problems with bigger or large numbers in real life situations.

4. Solve quantitative reasoning using large numbers.

### WEEK 3

TOPIC – LCM AND HCF

LEARNING AREA (CONTENTS)

1. Lowest Common Multiples (LCM) and Highest Common Factors (HCF)

2. Concept of LCM and HCF

3. LCM &HCF by Identification and Formulae

4. Quantitative reasoning on LCM and HCF

RATIONALE

1. Helps normal division knowledge.

2. It also helps in multiple of numbers.

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. analyze the term LCM & HCF.

2. distinguish between LCM and HCF with the use of formulae.

3. solve some questions in HCF and LCM in quantitative reasoning.

TEACHER’S ACTIVITIES

1. Leads students to identify common multiples of two or more whole numbers.

2. Guides students to solve problems involving LCM factor method, multiple method and index method.

3. Leads students to identify common factors of two or more whole numbers using common factor and prime factor methods.

4. Guides students to find the HCF of some whole numbers, e.g. LCM HCF of 15 and 80.

5. Leads students to identify the difference between LCM and HCF.

6. Guides students in prime factorization to express a given number as the product of its prime factors.

7. Leads students to solve problems on quantitative aptitude.

LEARNING ACTIVITIES

1. Write multiples of some numbers on cardboards to produce number cards 4 – 4, 8, 12, 16, 20, 24, 28…, 13 ’12, 24,36,48,60, 72………….

2. Write factors of some numbers such as 20 – 2, 4, 5, 10 and 20. 30 – 2, 3, 5, 10 15 and 30. etc.

3. Write common factors and highest common factors of a given set of numbers.

4. Express whole numbers as prime factors.

5. Solve some given problems to find the HCF of whole numbers.

4. Identify the difference between LCM and HCF.

6. Solve related problems on quantitative aptitude.

### WEEK 4

TOPIC – FRACTIONS

LEARNING AREA (CONTENTS)

1. Meaning of fractions

2. Types of Fraction (Proper, Improper and mixed Fraction)

3. Fractions in Quantitative Reasoning.

RATIONALE – It helps students in sharing items and the proportion of item cut or derived from a whole.

LEARNING OBJECTIVES – By the end of the lesson, students will be able to:

1. describe the term fraction

2. analyses three types of fractions

3. solve problems relating to quantitative reasoning on fraction.

TEACHER’S ACTIVITIES – Teacher leads or guides students to:

1. fold a sheet of paper into two equal parts or

2. cut an orange into 4 equal parts

3. take a whole orange, the parts cut and compare the differences.

4. put the following fractions into the appropriate columns on types of fractions.

LEARNING ACTIVITIES – Students in small groups are guided to:

1. fold a sheet of paper into two equal parts or

2. cut an orange into 4 equal parts

3. take a whole orange, the parts cut and compare the differences.

4. put the following fractions into the appropriate columns on types of fractions.

### WEEK 5

TOPIC – EQUIVALENT FRACTIONS

LEARNING AREA (CONTENTS)

1. Identification of Equivalent Fractions

2. Application of Equivalent Fractions in Commodities

3. Quantitative Reasoning

RATIONALE

1. Fields of sports

2. Time calculation

4. Collation of results in schools

5. Banking sector

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. explain meaning of equivalent then relate it to fractions

2. identify some equivalent fractions

3. relate the one equivalent fraction to another

4. solve problems involving equivalent fractions in quantitative reasoning.

TEACHER’S ACTIVITIES

1. Leads students to recognize that 1⁄2, 2⁄4, 4⁄8, are equivalent fractions i.e. ½ = 2/4  = 4⁄8, etc.

2. Guides students to apply the equivalent fractions in sharing of commodities, e.g food, money, etc.

3. Leads students to solve problems in quantitative aptitude involving equivalent fractions.

4. Guides students to discover the formula for obtaining an equivalent fraction of a given fraction, e.g. ½ = (1 × n)/(2 x n), where n = 1, 2 3,….

5. Leads students to solve problems using the above formula.

6. Leads students to solve problems in quantitative aptitude involving equivalent fractions.

LEARNING ACTIVITIES

1. Recognize that 1⁄2, 2⁄4, and 4⁄8 are equivalent fractions.

2. Apply equivalent fractions in sharing commodities e.g food, money etc.

3. State and write the relationship or formula as given.

4. Solve problems using the given formula.

5. Solve problems on quantitative aptitude in equivalent fractions.

### WEEK 6

TOPIC – ORDERING FRACTIONS

LEARNING AREA

1. Ordering of Fractions

2. Conversion of Fractions to Percentages and Vice Versa

3. Conversion of Fractions to Decimals and Vice vers6

4. Quantitative Reasoning

RATIONALE

2. Grouping and Ordering of Naira and Kobo

3. Banking Activities

4. Exchange rate

5. Forex market

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. arrange given fractions either in ascending or descending order.

2. identify which fraction is greater or less.

3. explain the principles guiding conversion of fractions to percentage and convert fraction to decimal (vice versa).

4. solve problems related to quantitative reasoning.

TEACHER’S ACTIVITIES – The teacher,

1. leads students to arrange given fractions in ascending or descending order of magnitude.

2. leads students to convert fractions to decimals and  decimals to fractions.

3. guides students to convert  fractions to percentages and  percentage to fractions.

LEARNING ACTIVITIES – The students,

1. arrange fractions in ascending or descending order.

2. convert fractions to decimals and decimals to fractions.

3. convert fractions to percentages and percentages to fractions.

### WEEK 8

TOPIC – FRACTIONS (Contd)

LESSON AREA (CONTENTS)

1. Addition and subtraction of Fractions

2. Solve problems involving fractions in quantitative Reasoning.

RATIONALE

2. Banking and Finance sectors

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. add and subtract the fractions with the use of diagrams

2. add and subtract fraction with the same denominators

3. add and subtract mixed fraction

4. Solve quantitative reasoning with regards to addition and subtraction of fractions.

TEACHER’S ACTIVITIES – The teacher,

1. leads or guides the students to add and subtract proper, improper and mixed fractions.

2. lets the students to solve quantitative reasoning with regards to addition and subtraction of fractions.

LEARNING ACTIVITIES – The students,

1. add and subtract proper, improper and mixed fractions.

2. solve quantitative reasoning with regards to addition and subtraction of fractions.

### WEEK 9

TOPIC – FRACTIONS (Contd)

LEARNING AREA (CONTENTS)

1. Multiplication of Fractions

2. Division of Fractions

3. Prime number

4. Quantitative Reasoning

RATIONALE

1. Banking sector

2. Government offices

3. Schools, in the collation of assessment/result

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. solve problems on multiplication of fractions

2. solve problems on division of fractions.

3. identify prime numbers from a chain of numbers.

4. apply fractions in real life situations (Real world problems)

5. solve problems related to multiplication and division of fraction in quantitative.

TEACHER’S ACTIVITIES – The guides or leads to,

1. solve problems on multiplication of fractions

2. solve problems on division of fractions.

3. identify prime numbers from a chain of numbers.

4. apply fractions in real life situations (Real world problems)

5. solve problems related to multiplication and division of fraction in quantitative.

LEARNING ACTIVITIES – The students,

1. solve problems on multiplication of fractions

2. solve problems on division of fractions.

3. identify prime numbers from a chain of numbers.

4. apply fractions in real life situations (Real world problems)

5. solve problems related to multiplication and division of fraction in quantitative.

### WEEK 10

TOPIC – PROJECT

LEARNING AREA (ACTIVITIES)

1. GROUP A – Construct and compute a prime number chart to make a game of their choice.

2. GROUP B – Construct and compute an equivalent fraction chart to make a game of their choice.

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. complete a correct prime number chart

2. complete an equivalent fraction chart

3. interact within the group how each chart is computed.

TEACHER’S/LEARNING ACTIVITIES

1. choosing group leaders for each group.

2. how the charts should be constructed and computed.

3. group leader or any member of the group to give a presentation on mode of operation.

4. take a gallery walk where the games are displayed.

### WEEK 11

TOPIC – ESTIMATION

LEARNING AREA (CONTENTS)

1. Concept and Reasons of Estimation

2. Estimation of Dimension and Distance

3. Estimation of Capacity, Volume and Mass of Objects

4. Estimation of other6 Things like Age, Time, etc.

5. Quantitative Reasoning involving Estimation

RATIONALE

1. Statistics solution

2. Population census

3. Budgeting of finance in offices

4. Home Management

5. Fields of sports e.g. javelin throwing, long jump, etc.

LEARNING OBJECTIVES – By the end of the lesson, students should be able to:

1. discuss on the term estimation.

2. identify rules guiding estimation of numbers or figures

3. justify the reasons for estimation.

4. apply estimation in daily activities (Real world problems).

5. solve problems relating to estimation in quantitative reasoning.

TEACHER’S ACTIVITIES – The teacher,

1. lead a class discussion on the term estimation.

2. guides the students identify rules guiding estimation of numbers or figures

3. asks the students justify the reasons for estimation.

4. guides the students apply estimation in daily activities (Real world problems).

5. gives the students to solve problems relating to estimation in quantitative reasoning.

LEARNING ACTIVITIES – The students,

1. discuss on the term estimation.

2. identify rules guiding estimation of numbers or figures

3. justify the reasons for estimation.

4. apply estimation in daily activities (Real world problems).

5. solve problems relating to estimation in quantitative reasoning.

WEEK 12 – REVISION

WEEK 13 – FIRST TERM EXAMINATION

SECOND AND THIRD TERM SCHEME OF WORK, work in progress….