NZ Curriculum · Year 10 Mathematics & Statistics · Phase 4

Year 10 Maths Lesson Plan & Curriculum Map

A full-year Year 10 maths lesson plan organised around the New Zealand Curriculum – Mathematics and Statistics, Phase 4 (Years 9–10). 137 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 (real numbers, indices, algebra and simultaneous equations); Algebra & Measurement (functions, composite measurement, logarithmic scales and trigonometry); Geometry (proportion, scaling and deductive geometry proofs); and Statistics (networks, statistics, scatterplots and two-way tables).

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Year 10 Maths learning map

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

February · Number & Algebra

Year 10 Maths — February Lesson Plan

NZC Mathematics & Statistics · Phase 4

Week	1 Day/Week	2 Day/Week	3 Day/Week	4 Day/Week
February 1st week (Maths)	Real Numbers — Approximation & Exact Representation 1. Recognising the effect of using approximations of real numbers in repeated calculations	Real Numbers — Approximation & Exact Representation 1. Recognising the effect of using approximations of real numbers in repeated calculations 2. Investigating how rounding and truncation errors compound across multi-step calculations	Real Numbers — Approximation & Exact Representation 1. Recognising the effect of using approximations of real numbers in repeated calculations 2. Investigating how rounding and truncation errors compound across multi-step calculations 3. Comparing results obtained using exact representations versus approximations	Real Numbers — Approximation & Exact Representation 1. Recognising the effect of using approximations of real numbers in repeated calculations 2. Investigating how rounding and truncation errors compound across multi-step calculations 3. Comparing results obtained using exact representations versus approximations Indices & Exponent Laws 1. Applying exponent laws involving products of variables
February 2nd week (Maths)	Real Numbers — Approximation & Exact Representation 1. Investigating how rounding and truncation errors compound across multi-step calculations	Real Numbers — Approximation & Exact Representation 1. Comparing results obtained using exact representations versus approximations Indices & Exponent Laws 1. Applying exponent laws involving products of variables	Indices & Exponent Laws 1. Applying exponent laws involving products of variables 2. Applying exponent laws involving quotients of variables 3. Applying exponent laws involving powers of variables	Indices & Exponent Laws 1. Applying exponent laws involving quotients of variables 2. Applying exponent laws involving powers of variables 3. Extending numerical exponent law fluency to algebraic expressions with variables Algebraic Expansion & the Distributive Property 1. Expanding expressions using the distributive property
February 3rd week (Maths)	Real Numbers — Approximation & Exact Representation 1. Comparing results obtained using exact representations versus approximations	Indices & Exponent Laws 1. Applying exponent laws involving quotients of variables 2. Applying exponent laws involving powers of variables	Indices & Exponent Laws 1. Extending numerical exponent law fluency to algebraic expressions with variables Algebraic Expansion & the Distributive Property 1. Expanding expressions using the distributive property 2. Expanding binomial products	Algebraic Expansion & the Distributive Property 1. Expanding binomial products 2. Expanding special products (perfect squares, difference of two squares) Factorising & Simplifying Algebraic Expressions 1. Factorising expressions using common factors 2. Factorising monic and non-monic quadratic trinomials
February 4th week (Maths)	Indices & Exponent Laws 1. Applying exponent laws involving products of variables	Indices & Exponent Laws 1. Extending numerical exponent law fluency to algebraic expressions with variables Algebraic Expansion & the Distributive Property 1. Expanding expressions using the distributive property	Algebraic Expansion & the Distributive Property 1. Expanding special products (perfect squares, difference of two squares) Factorising & Simplifying Algebraic Expressions 1. Factorising expressions using common factors 2. Factorising monic and non-monic quadratic trinomials	Factorising & Simplifying Algebraic Expressions 1. Factorising using difference of two squares 2. Simplifying algebraic expressions and algebraic fractions Solving Equations Algebraically 1. Solving quadratic equations algebraically using factorisation 2. Solving equations involving algebraic fractions

March · Number & Algebra

Year 10 Maths — March Lesson Plan

NZC Mathematics & Statistics · Phase 4

Week	1 Day/Week	2 Day/Week	3 Day/Week	4 Day/Week
March 1st week (Maths)	Indices & Exponent Laws 1. Applying exponent laws involving quotients of variables	Algebraic Expansion & the Distributive Property 1. Expanding binomial products 2. Expanding special products (perfect squares, difference of two squares)	Factorising & Simplifying Algebraic Expressions 1. Factorising using difference of two squares 2. Simplifying algebraic expressions and algebraic fractions Solving Equations Algebraically 1. Solving quadratic equations algebraically using factorisation	Solving Equations Algebraically 1. Rearranging and solving literal equations (changing the subject of a formula) Linear Inequalities & Simultaneous Equations 1. Solving linear inequalities 2. Solving simultaneous linear equations in 2 variables (graphical and algebraic methods) 3. Interpreting solutions graphically
March 2nd week (Maths)	Indices & Exponent Laws 1. Applying exponent laws involving powers of variables	Factorising & Simplifying Algebraic Expressions 1. Factorising expressions using common factors 2. Factorising monic and non-monic quadratic trinomials	Solving Equations Algebraically 1. Solving equations involving algebraic fractions 2. Rearranging and solving literal equations (changing the subject of a formula) Linear Inequalities & Simultaneous Equations 1. Solving linear inequalities	Linear Inequalities & Simultaneous Equations 1. Communicating solutions in terms of the situation Exponential Relations 1. Recognising the connection between algebraic and graphical representations of exponential relations 2. Solving related exponential equations 3. Using digital tools to explore and solve exponential relations
March 3rd week (Maths)	Indices & Exponent Laws 1. Extending numerical exponent law fluency to algebraic expressions with variables	Factorising & Simplifying Algebraic Expressions 1. Factorising using difference of two squares 2. Simplifying algebraic expressions and algebraic fractions	Linear Inequalities & Simultaneous Equations 1. Solving simultaneous linear equations in 2 variables (graphical and algebraic methods) 2. Interpreting solutions graphically 3. Communicating solutions in terms of the situation	Mathematical Modelling — Growth & Decay 1. Using mathematical modelling to solve applied growth and decay problems, including financial contexts 2. Formulating problems, choosing linear, quadratic or exponential models 3. Interpreting solutions in terms of the situation 4. Evaluating and modifying models as necessary
March 4th week (Maths)	Algebraic Expansion & the Distributive Property 1. Expanding expressions using the distributive property	Solving Equations Algebraically 1. Solving quadratic equations algebraically using factorisation 2. Solving equations involving algebraic fractions	Exponential Relations 1. Recognising the connection between algebraic and graphical representations of exponential relations 2. Solving related exponential equations 3. Using digital tools to explore and solve exponential relations	Mathematical Modelling — Growth & Decay 1. Reporting assumptions, methods and findings Experimenting with Functions & Relations 1. Experimenting with functions and relations using digital tools 2. Making conjectures about function behaviour 3. Testing conjectures

April · Number & Algebra

Year 10 Maths — April Lesson Plan

NZC Mathematics & Statistics · Phase 4

Week	1 Day/Week	2 Day/Week	3 Day/Week	4 Day/Week
April 1st week (Maths)	Algebraic Expansion & the Distributive Property 1. Expanding binomial products	Solving Equations Algebraically 1. Rearranging and solving literal equations (changing the subject of a formula) Linear Inequalities & Simultaneous Equations 1. Solving linear inequalities	Mathematical Modelling — Growth & Decay 1. Using mathematical modelling to solve applied growth and decay problems, including financial contexts 2. Formulating problems, choosing linear, quadratic or exponential models 3. Interpreting solutions in terms of the situation	Experimenting with Functions & Relations 1. Generalising emerging patterns Term 1 Assessment & Consolidation 1. Revision workshop — number and exponent/algebraic technique 2. Revision workshop — equations, inequalities and modelling 3. Topic test: Number & Algebra
April 2nd week (Maths)	Algebraic Expansion & the Distributive Property 1. Expanding special products (perfect squares, difference of two squares)	Linear Inequalities & Simultaneous Equations 1. Solving simultaneous linear equations in 2 variables (graphical and algebraic methods) 2. Interpreting solutions graphically	Mathematical Modelling — Growth & Decay 1. Evaluating and modifying models as necessary 2. Reporting assumptions, methods and findings Experimenting with Functions & Relations 1. Experimenting with functions and relations using digital tools	Term 1 Assessment & Consolidation 1. Feedback session Surface Area of Composite Objects 1. Reviewing surface area formulas for standard solids (prisms, cylinders, pyramids, cones, spheres) 2. Solving problems involving the surface area of composite objects using appropriate units 3. Applying additive and subtractive methods for composite solid surface area

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 10 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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