Te reo Māori terms
click each term to open in Te Aka
Learning objective overview
Master Teaching Guide coverage for this objective.
NA6-6
NZC26-P4-ALG-ER-P-Y10-01
Resources
- Dr Austin Maths - Expanding Brackets Revision Practice GridQuestions PDF · Answers
- CorbettMaths on expanding double bracketsQuestions PDF · Answers
- Beta: Single Skills in Chapters 9, pg 167
- Beta: Double Skills in Chapters 11, pg 200-203
- Beta: Single brackets: Ex 9.01 to Ex 9.03, pgs 168 to 169 and Parallel Skills 9B, pg 170
- Beta: Double brackets: Ex 11.04 to 11.07, pgs 201 to 204
Terminology
- double brackets
- foil method
- distributive a(b + c) = ab + ac
- expand
- quadratic
- foil (first, outside, inside, last)
Task goals
- Expand a pair of binomial brackets of the form $(x+a)(x+b)$ where both constants are positive, using the distributive property.
- Expand a pair of binomial brackets with mixed signs, such as $(x+a)(x-b)$, including where one bracket has a leading coefficient greater than 1.
- Fill in a missing constant term in a partially-expanded identity, such as $(x+3)(x+4)=x^2+7x+\square$.
- Expand a pair of binomial brackets where both brackets have a leading coefficient greater than 1, such as $(2x+1)(3x+2)$.
- Expand a perfect-square or difference-of-squares expression, such as $(x+a)^2$ or $(x-a)(x+a)$.
- Expand and simplify an expression that combines a double-bracket expansion with an extra term, such as $(x+2)(x+3)+5$.
- Judge whether a given expanded statement is true or false, or use an area model (rectangle side lengths) to represent and check a binomial expansion.
Where this fits
What leads into this objective, and where it goes next.
Before
Expanding single brackets
Adding and Subtracting Expressions (Like Terms)
Expanding and Factorising Using the Distributive Law (Foundational)
You are here
Expanding double brackets
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 NA6-6:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.