Year 7 Mathematics – Term 1 (WA Curriculum): Number Systems and Algebraic Foundations

What this unit covers

In Term 1, Year 7 Mathematics in the WA Curriculum centres on the unit “Number Systems and Algebraic Foundations”.

Students explore equivalent fractions, decimals, and percentages while developing skills in operations with integers, fractions, and decimals, and begin working with algebraic expressions and equations.

Lesson sequence (30 lessons)

The unit breaks down into the following lesson-by-lesson sequence — each title below is a teachable lesson, in order:

1. Exploring Equivalent Fractions Using Visual Models
2. Finding Equivalent Fractions with Related Denominators
3. Creating Equivalent Fractions with Unrelated Denominators
4. Converting Between Fractions and Decimals
5. Converting Between Fractions and Percentages
6. Converting Between Decimals and Percentages
7. Ordering and Comparing Fractions, Decimals, and Percentages on Number Lines
8. Using Inequalities to Compare Mixed Number Types
9. Exploring Addition Patterns with Positive and Negative Integers
10. Using Number Lines to Add and Subtract Integers
11. Applying Integer Operations in Real-World Contexts
12. Visualizing Multiplication of Positive Fractions
13. Understanding Division of Positive Fractions Through Diagrams
14. Calculating with Fraction Operations Using Visual Methods
15. Representing Decimal Multiplication Using Area Models
16. Exploring Decimal Division Through Visual Representations
17. Connecting Decimal Operations to Place Value Understanding
18. Rounding Decimals to Specified Decimal Places
19. Using Place Value to Justify Rounding Decisions
20. Developing Efficient Mental Calculation Strategies
21. Applying Order of Operations with Mixed Number Types
22. Understanding Ratios and Their Relationship to Fractions
23. Converting Between Number Forms Using Flexible Strategies
24. Calculating Percentages of Quantities Using Mental Methods
25. Expressing One Quantity as a Percentage of Another
26. Adding and Subtracting Fractions with Different Denominators
27. Multiplying and Dividing Fractions Using Efficient Strategies
28. Performing Operations with Decimals Using Strategic Thinking
29. Using Estimation to Check Reasonableness of Solutions
30. Introducing Variables and Creating Simple Algebraic Expressions

Curriculum codes in this unit

Content codes:

Reading the codes: WA codes (the ones starting with WA) pack the year level, learning area, strand and content number into one string, while the national Australian Curriculum v9 uses a different anatomy that starts with AC9 — same content family, different labels. Our complete WA Curriculum guide decodes both, character by character.

Planning notes for Term 1

WA terms run roughly 9–11 weeks, and in 2026 Term 1 runs from Monday 2 February to Thursday 2 April — 9 weeks for WA public schools. With 30 lessons in this unit, that leaves breathing room for assessment, moderation and the weeks that disappear to carnivals, camps and public holidays — plan the assessable work to land two to three weeks before the end of term rather than in the final week.