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.
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.
| Week | Topic | Core Content |
|---|---|---|
| 1 | Fractions Operations | Multiplication and division of fractions, simplification, word problems. |
| 2 | Approximation and Estimation | Rounding off numbers, estimating answers, accuracy and reasonable answers. |
| 3 | Binary Number System | Introduction to base two, conversion, and simple operations in binary. |
| 4 | Open Sentences and Equations | Symbols, open statements, simple equations, finding unknown values. |
| 5 | Algebraic Expressions | Terms, coefficients, like terms, simplification of expressions. |
| 6 | Revision and Class Assessment | Revision of all second-term topics and test preparation. |
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.
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.
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.
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.
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.
Recommended learning links
These links support broader learning, external discovery, and search visibility for the blog post.
CBT Practice Test
40 questions | 30 minutes | One question at a time.
Comments
Post a Comment
We’d love to hear from you! Share your thoughts or questions below. Please keep comments positive and meaningful, Comments are welcome — we moderate for spam and civility; please be respectful.