Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
NA6-6
NZC26-P4-ALG-ER-P-Y10-01
Resources
- Dr Austin Maths - Algebraic Fractions Revision Practice GridQuestions PDF · Answers
- CorbettMaths on simplifying algebraic fractions being added or subtracted togetherQuestions PDF · Answers
- CorbettMaths on simplifying algebraic fractions being divided togetherQuestions PDF · Answers
- CorbettMaths on simplifying algebraic fractions being multiplied togetherQuestions PDF · Answers
Terminology
- algebraic fraction
- numerator
- denominator
- common factor
- cancel
- simplify
Task goals
- Simplify a monomial fraction by cancelling a common numeric factor from the numerator and denominator.
- Simplify a monomial fraction by cancelling common variable factors between the numerator and denominator, and state the value that makes it undefined.
- Simplify a fraction by factorising a common factor out of a binomial numerator before cancelling it against the denominator.
- Simplify a fraction by factorising both the numerator and denominator, including differences of two squares and quadratic trinomials, cancelling the shared factor, and stating any restrictions on the variable.
- Identify and correct an incorrect simplification of an algebraic fraction, explaining the error.
- Multiply or divide two algebraic fractions and simplify the result.
- Add or subtract two algebraic fractions that share a common denominator.
- Add or subtract two algebraic fractions with different denominators, factorising first where needed, and state any restrictions on the variable.
Where this fits
What leads into this objective, and where it goes next.
Before
Operations with Algebraic Fractions
Expanding and Factorising Algebraic Expressions
Recognising equivalent algebraic expressions
You are here
Simplifying algebraic fractions
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.