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Unit 1: Integers & Algebra

Foundational skills in integers, fractions, decimals, percentages, ratios, rates, indices, scientific notation, and algebraic expressions and equations.

20 Lessons 3 Checkpoints 1 Unit Quiz

Number & Ratio

Lessons 1-7

Integers and Absolute Value

Number line, ordering, and absolute value.

Adding and Subtracting Integers

Rules for combining positive and negative numbers.

Multiplying and Dividing Integers

Sign rules and order of operations.

Fractions — Addition and Subtraction

Finding common denominators and simplifying.

Fractions — Multiplication and Division

Multiply numerators and denominators; reciprocal for division.

Decimals and Percentages

Converting between decimals, fractions, and percentages.

Percentage Change

Increase, decrease, and successive percentage changes.

Checkpoint 1

Lessons 1-7 — 8 multiple choice questions.

Indices & Scientific Notation

Lessons 8-14

Bases, exponents, and expanded form.

Index Law — Multiplication

a^m x a^n = a^(m+n).

Index Law — Division

a^m / a^n = a^(m-n).

Zero and Negative Indices

a^0 = 1 and a^(-n) = 1 / a^n.

Power of a Power

(a^m)^n = a^(mn).

Scientific Notation

Writing very large and very small numbers.

Operations with Scientific Notation

Multiplying and dividing numbers in scientific notation.

Checkpoint 2

Lessons 8-14 — 8 multiple choice questions.

Algebra

Lessons 15-20

Introduction to Algebra

Variables, coefficients, constants, and terms.

Simplifying Expressions

Collecting like terms and substitution.

Expanding Brackets

Distributive law with single and double brackets.

Factorising Expressions

Highest common factor and grouping.

Solving Linear Equations

Balancing and isolating the variable.

Inequalities and Synthesis

Solving inequalities and unit summary.

Checkpoint 3

Lessons 15-20 — 8 multiple choice questions.

Unit Quiz

All 20 lessons — 15 multiple choice + 5 short answer questions.