NZ Curriculum · Year 7 Mathematics & Statistics · Phase 3

Year 7 Maths Lesson Plan & Curriculum Map

A full-year Year 7 maths lesson plan organised around the New Zealand Curriculum – Mathematics and Statistics, Phase 3 (Years 7–8). 116 lessons across the school year from February to December, set out week by week for 1, 2, 3 or 4 lessons a week, covering Number & Algebra (squares, roots, rational numbers and algebraic formulas); Measurement (area, volume and circles); Geometry (triangles, quadrilaterals and transformations); and Statistics & Probability (data, statistics and probability).

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Year 7 Maths learning map

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1 day/week · steady pace2–3 days/week · guided practice

February · Number & Algebra

Year 7 Maths — February Lesson Plan

NZC Mathematics & Statistics · Phase 3

Week	1 Day/Week	2 Day/Week	3 Day/Week	4 Day/Week
February 1st week (Maths)	Perfect Squares, Square Roots & Prime Factorisation 1. Describing the relationship between perfect square numbers and square roots	Perfect Squares, Square Roots & Prime Factorisation 1. Describing the relationship between perfect square numbers and square roots 2. Using squares of numbers to solve problems	Perfect Squares, Square Roots & Prime Factorisation 1. Describing the relationship between perfect square numbers and square roots 2. Using squares of numbers to solve problems 3. Using square roots of perfect square numbers to solve problems	Perfect Squares, Square Roots & Prime Factorisation 1. Describing the relationship between perfect square numbers and square roots 2. Using squares of numbers to solve problems 3. Using square roots of perfect square numbers to solve problems 4. Finding the prime factorisation of natural numbers
February 2nd week (Maths)	Perfect Squares, Square Roots & Prime Factorisation 1. Using squares of numbers to solve problems	Perfect Squares, Square Roots & Prime Factorisation 1. Using square roots of perfect square numbers to solve problems 2. Finding the prime factorisation of natural numbers	Perfect Squares, Square Roots & Prime Factorisation 1. Finding the prime factorisation of natural numbers 2. Representing prime factorisations as products of powers using exponent notation Place Value & Rational Number Equivalence 1. Representing natural numbers in expanded notation using place value	Perfect Squares, Square Roots & Prime Factorisation 1. Representing prime factorisations as products of powers using exponent notation Place Value & Rational Number Equivalence 1. Representing natural numbers in expanded notation using place value 2. Representing natural numbers using powers of 10 3. Finding equivalent representations of rational numbers
February 3rd week (Maths)	Perfect Squares, Square Roots & Prime Factorisation 1. Using square roots of perfect square numbers to solve problems	Perfect Squares, Square Roots & Prime Factorisation 1. Representing prime factorisations as products of powers using exponent notation Place Value & Rational Number Equivalence 1. Representing natural numbers in expanded notation using place value	Place Value & Rational Number Equivalence 1. Representing natural numbers using powers of 10 2. Finding equivalent representations of rational numbers 3. Representing rational numbers on a number line	Place Value & Rational Number Equivalence 1. Representing rational numbers on a number line Rounding & Operations with Rational Numbers 1. Rounding decimals to a given accuracy appropriate to context 2. Using rounding and estimation to check reasonableness of solutions 3. Using the 4 operations with fractions, decimals and percentages
February 4th week (Maths)	Perfect Squares, Square Roots & Prime Factorisation 1. Finding the prime factorisation of natural numbers	Place Value & Rational Number Equivalence 1. Representing natural numbers using powers of 10 2. Finding equivalent representations of rational numbers	Rounding & Operations with Rational Numbers 1. Rounding decimals to a given accuracy appropriate to context 2. Using rounding and estimation to check reasonableness of solutions 3. Using the 4 operations with fractions, decimals and percentages	Rounding & Operations with Rational Numbers 1. Choosing efficient calculation strategies Integers & Ratios 1. Comparing and ordering integers 2. Solving problems involving addition and subtraction of integers 3. Recognising and representing ratios

March · Number & Algebra

Year 7 Maths — March Lesson Plan

NZC Mathematics & Statistics · Phase 3

Week	1 Day/Week	2 Day/Week	3 Day/Week	4 Day/Week
March 1st week (Maths)	Perfect Squares, Square Roots & Prime Factorisation 1. Representing prime factorisations as products of powers using exponent notation	Place Value & Rational Number Equivalence 1. Representing rational numbers on a number line Rounding & Operations with Rational Numbers 1. Rounding decimals to a given accuracy appropriate to context	Rounding & Operations with Rational Numbers 1. Choosing efficient calculation strategies Integers & Ratios 1. Comparing and ordering integers 2. Solving problems involving addition and subtraction of integers	Integers & Ratios 1. Solving problems involving ratios Mathematical Modelling — Percentages & Financial Contexts 1. Using mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts 2. Formulating problems, choosing representations and efficient calculation strategies 3. Using digital tools as appropriate
March 2nd week (Maths)	Place Value & Rational Number Equivalence 1. Representing natural numbers in expanded notation using place value	Rounding & Operations with Rational Numbers 1. Using rounding and estimation to check reasonableness of solutions 2. Using the 4 operations with fractions, decimals and percentages	Integers & Ratios 1. Recognising and representing ratios 2. Solving problems involving ratios Mathematical Modelling — Percentages & Financial Contexts 1. Using mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts	Mathematical Modelling — Percentages & Financial Contexts 1. Interpreting and communicating solutions 2. Justifying choices made about the representation Algebraic Formulas & Substitution 1. Recognising and using variables to represent everyday formulas algebraically 2. Substituting values into formulas to determine an unknown
March 3rd week (Maths)	Place Value & Rational Number Equivalence 1. Representing natural numbers using powers of 10	Rounding & Operations with Rational Numbers 1. Choosing efficient calculation strategies Integers & Ratios 1. Comparing and ordering integers	Mathematical Modelling — Percentages & Financial Contexts 1. Formulating problems, choosing representations and efficient calculation strategies 2. Using digital tools as appropriate 3. Interpreting and communicating solutions	Formulating Expressions & Solving Equations 1. Formulating algebraic expressions using constants and variables 2. Formulating algebraic expressions using operations and brackets 3. Solving one-variable linear equations with natural number solutions 4. Verifying the solution by substitution
March 4th week (Maths)	Place Value & Rational Number Equivalence 1. Finding equivalent representations of rational numbers	Integers & Ratios 1. Solving problems involving addition and subtraction of integers 2. Recognising and representing ratios	Mathematical Modelling — Percentages & Financial Contexts 1. Justifying choices made about the representation Algebraic Formulas & Substitution 1. Recognising and using variables to represent everyday formulas algebraically 2. Substituting values into formulas to determine an unknown	Graphing Relationships from Data 1. Interpreting graphs of functions from authentic data 2. Describing relationships between variables shown in these graphs Patterns, Tables & Formula Manipulation 1. Generating tables of values from visually growing patterns 2. Generating tables of values from the rule of a function

April · Number & Algebra

Year 7 Maths — April Lesson Plan

NZC Mathematics & Statistics · Phase 3

Week	1 Day/Week	2 Day/Week	3 Day/Week	4 Day/Week
April 1st week (Maths)	Place Value & Rational Number Equivalence 1. Representing rational numbers on a number line	Integers & Ratios 1. Solving problems involving ratios Mathematical Modelling — Percentages & Financial Contexts 1. Using mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts	Formulating Expressions & Solving Equations 1. Formulating algebraic expressions using constants and variables 2. Formulating algebraic expressions using operations and brackets 3. Solving one-variable linear equations with natural number solutions	Patterns, Tables & Formula Manipulation 1. Describing and plotting these relationships on the Cartesian plane 2. Manipulating formulas involving several variables using digital tools 3. Describing the effect of systematic variation in the values of the variables Term 1 Assessment & Consolidation 1. Revision workshop — number topics
April 2nd week (Maths)	Rounding & Operations with Rational Numbers 1. Rounding decimals to a given accuracy appropriate to context	Mathematical Modelling — Percentages & Financial Contexts 1. Formulating problems, choosing representations and efficient calculation strategies 2. Using digital tools as appropriate	Formulating Expressions & Solving Equations 1. Verifying the solution by substitution Graphing Relationships from Data 1. Interpreting graphs of functions from authentic data 2. Describing relationships between variables shown in these graphs	Term 1 Assessment & Consolidation 1. Revision workshop — algebra topics 2. Topic test: Number & Algebra 3. Feedback session Area of Triangles & Parallelograms 1. Solving problems involving the area of triangles using established formulas

The learning framework

Anatomy of a focused lesson

Each session moves from a clear focus to guided practice and a quick check for understanding.

10 minutes

Retrieve and connect

Start with a short retrieval task on the earlier ideas this topic builds on, so gaps are picked up before they cause problems.

25 minutes

Reason and practise

Work through examples with clear mathematical reasoning and setting out, then move to independent problems in real-world contexts.

10 minutes

Check for understanding

Close with assessment-style questions that show what is secure and what to come back to next lesson.

Student learning toolkit

Resources for Year 7 Maths

Concept lessons

Clear, visual lessons across the Number, Algebra, Measurement, Geometry, Statistics and Probability strands.

Practice sets

Short question sets matched to each week’s focus, from fluency to problem solving.

Statistical investigations

Problem, Plan, Data, Analysis, Conclusion (PPDAC) investigations using real data.

Progress notes

A clear record of what your child has mastered and what comes next.

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