Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
NA4-7
NZC26-P4-ALG-ER-P-Y10-01
Resources
- CorbettMaths - Equations: Letters on Both SidesQuestions PDF · Answers
- Dr Austin Maths - Mixed Algebra Revision Practice Grid 1Questions PDF · Answers
- Dr Austin Maths - Mixed Algebra Revision Practice Grid 2Questions PDF · Answers
Terminology
- Expand
- Factorise
- Simplify
- Equation
- Solve
- Like terms
- Algebraic fraction
- Multi-step problem
Task goals
- Foundation: Combine two straightforward algebraic steps in sequence, such as expanding brackets and then collecting like terms to simplify an expression.
- Proficient: Solve multi-step equations that require expanding, factorising, or manipulating an algebraic fraction before isolating the unknown.
- Excellence: Work through NCEA Merit-style problems requiring justified selection and correct sequencing of several algebraic procedures, including checking the reasonableness of the final answer.
Where this fits
What leads into this objective, and where it goes next.
Before
Expanding and Factorising Using the Distributive Law (Foundational)
Adding and Subtracting Expressions (Like Terms)
Expanding and Factorising Algebraic Expressions
You are here
Merit-Level Algebraic Methods: Multi-Step Worked Problems
Simplifying and manipulating algebraic expressions involving sums, products, differences, and positive integer powers, by: collecting like terms; factorising using common factors; factorising quadratic expressions with a leading coefficient of 1; expanding products, including multiplying a single term by a bracketed term, and multiplying two expressions each of the form ax + b, where a and b are integers; factorising by grouping (i.e. using the distributive law) (e.g. x^2 + 2x − 8 = x^2 + 4x − 2x − 8 = x(x + 4) − 2(x + 4) = (x − 2)(x + 4))
Statement▸
Also under NA4-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.