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JSS 2 Mathematics Second Term Comprehensive Web Book | Edwin Ogie Library

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JSS 2 Mathematics Second Term Comprehensive Web Book | Edwin Ogie Library

JSS 2 Mathematics Second Term Web Book

A comprehensive, mobile-friendly, SEO-optimized learning page for JSS 2 Mathematics second term. It covers every topic in the term, gives seven worked examples per topic, and includes a 40-question CBT quiz timed for 30 minutes with one question at a time navigation.

Home / Library Collections / JSS 2 Mathematics / Second Term
Second Term Overview

How this term is organized

Second term mathematics in JSS 2 develops number skills, estimation, binary notation, open sentences, equations, and algebraic thinking. Each topic is presented with a lesson note, seven worked examples, and study support designed for classroom use and independent revision.

How to use this web book: study each topic in order, practise the examples, review the notes, and then attempt the CBT quiz to test your understanding across the full term.
JSS 2 Mathematics Second Term Scheme of Work
WeekTopicCore Content
1Fractions OperationsMultiplication and division of fractions, simplification, word problems.
2Approximation and EstimationRounding off numbers, estimating answers, accuracy and reasonable answers.
3Binary Number SystemIntroduction to base two, conversion, and simple operations in binary.
4Open Sentences and EquationsSymbols, open statements, simple equations, finding unknown values.
5Algebraic ExpressionsTerms, coefficients, like terms, simplification of expressions.
6Revision and Class AssessmentRevision of all second-term topics and test preparation.
Topic 1

Fractions Operations

In this topic, students learn how to multiply and divide fractions. The most important ideas are simplification, finding reciprocal fractions, and reducing answers to simplest form where possible.

Key rule

Multiply the numerators together and multiply the denominators together.

Division rule

Keep, change, and flip: keep the first fraction, change ÷ to ×, and flip the second fraction.

Final step

Simplify the answer fully when possible.

Worked examples

Example 1

Question: 1/2 × 3/4 = 3/8.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 2

Question: 2/3 × 6/5 = 12/15 = 4/5.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 3

Question: 3/5 ÷ 2/7 = 3/5 × 7/2 = 21/10 = 2 1/10.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 4

Question: 4/7 × 7/9 = 4/9 after cancelling 7.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 5

Question: 5/6 ÷ 5/8 = 5/6 × 8/5 = 8/6 = 4/3 = 1 1/3.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 6

Question: 2/9 × 3/4 = 6/36 = 1/6.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 7

Question: 7/8 ÷ 7/16 = 7/8 × 16/7 = 16/8 = 2.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Topic 2

Approximation and Estimation

Approximation means writing a number close to the original number. Estimation means finding a quick and sensible answer. Both are useful for checking whether an answer is reasonable.

Round off

Use the place value to round to the nearest ten, hundred, thousand, or decimal place.

Estimate

Replace numbers with easier values to get a quick answer.

Reasonableness

Check if the exact answer is sensible.

Worked examples

Example 1

Question: 47 rounded to the nearest ten is 50.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 2

Question: 263 rounded to the nearest hundred is 300.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 3

Question: 198 + 302 ≈ 200 + 300 = 500.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 4

Question: 7,485 rounded to the nearest thousand is 7,000.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 5

Question: 15.6 rounded to the nearest whole number is 16.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 6

Question: 3,149 estimated to the nearest hundred is 3,100.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 7

Question: 98 × 4 can be estimated as 100 × 4 = 400.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Topic 3

Binary Number System

The binary number system uses only two digits, 0 and 1. It is the base-2 number system and is very important in computers, digital devices, and electronic data processing.

Base 2

Binary numbers are built with powers of 2.

Conversion

Convert between base 10 and base 2 using repeated division or place value.

Use

Computers use binary because they work with on/off states.

Worked examples

Example 1

Question: 5 in binary is 101.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 2

Question: 6 in binary is 110.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 3

Question: 7 in binary is 111.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 4

Question: 8 in binary is 1000.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 5

Question: 10 in binary is 1010.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 6

Question: 12 in binary is 1100.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 7

Question: 13 in binary is 1101.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Topic 4

Open Sentences and Equations

Open sentences contain unknown numbers. When the unknown is found, the sentence becomes true. Equations are useful for solving real-life problems in algebra and arithmetic.

Unknowns

Letters like x, y, n, or a stand for unknown values.

Inverse operations

Use opposite operations to isolate the unknown.

Check

Always substitute your answer to confirm it works.

Worked examples

Example 1

Question: x + 5 = 12, so x = 7.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 2

Question: 3n = 21, so n = 7.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 3

Question: y - 4 = 9, so y = 13.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 4

Question: 2x = 18, so x = 9.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 5

Question: a / 5 = 6, so a = 30.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 6

Question: m + 8 = 20, so m = 12.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 7

Question: 4p = 32, so p = 8.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Topic 5

Algebraic Expressions

Algebraic expressions are combinations of numbers, letters, and operations without an equal sign. They are used to represent patterns and relationships and to prepare students for advanced algebra.

Like terms

Only terms with the same variables and powers can be combined.

Coefficient

The number attached to a variable.

Expression

A mathematical phrase without an equal sign.

Worked examples

Example 1

Question: 3x + 2x = 5x.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 2

Question: 4a + 3b + 2a = 6a + 3b.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 3

Question: 2y + 7y - 5y = 4y.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 4

Question: 5m + 2m + m = 8m.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 5

Question: 2(x + 5) = 2x + 10.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 6

Question: 3(t - 4) = 3t - 12.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

Example 7

Question: 7p - 2p + p = 6p.

Step 1: Identify the key values in the question.

Step 2: Apply the correct rule for the topic.

Step 3: State the final answer clearly and simplify if needed.

CBT Practice Test

40 questions | 30 minutes | One question at a time.

30:00
Send Score by Email
Question 0 of 40

Quiz Result

The email button opens a draft to edwinogielibrary@gmail.com so the score can be sent quickly after submission.

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