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Year 9 Mathematics
Algebraic expressions and fractions
Chapter 8
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Multiplication and division
CH 1
Decimal place value
CH 1
Multiply and divide fractions
CH 1
Solve two-step linear equations by inverse operations in reverse order
CH 2
Solve a one-step linear equation
CH 2
Expanding and special products
Common factors and difference of squares
Factorisation by grouping
Quadratic factorisation
Algebraic fraction operations (extension)
Fraction equations and extension
Apply the distributive law repeatedly, preserve signs and collect like powers to write a polynomial in descending-power form
Expand perfect-square and sum-and-difference products by applying the matching identity
Substitute known values into a formula and evaluate it correctly
Signed numbers
Remove the greatest common numerical and algebraic factor from every term before considering any further factorisation
Recognise and factor a difference of two squares, a perfect-square trinomial, and a sum or difference of two cubes, with the correct sign pattern
Highest common factor
Expose a repeated subexpression or a common grouped factor, factor the resulting lower-degree expression, then replace the subexpression and fully simplify
Factor a simple quadratic with integer coefficients by finding factor data whose product and sum reproduce the constant and linear coefficients
Factorise a non-monic quadratic trinomial by splitting the middle term and grouping
Factor numerators and denominators, cancel common factors rather than terms, retain the original excluded values, and present the remaining numerator and denominator in a consistent form
Multiply, divide, add or subtract algebraic fractions by using reciprocals where required, constructing the lowest common denominator and simplifying the exact result without losing restrictions
Simplify a fraction
Solve an equation containing algebraic fractions by clearing the lowest common denominator
Solve equations with the unknown inside a fraction by clearing the denominator first
Solve equations with a scaled bracket by expanding or dividing first
Translate a described situation into a linear equation in one unknown