Pupil outcome: I can calculate the lowest common multiple or highest common factor efficiently. Key learning points: - Both the LCM and HCF can be found by comparing the prime factorisation of the numbers. - A Venn diagram can be a...

Pupil outcome: I can simplify a ratio, including expressing a ratio in unitary form. Key learning points: - There are infinitely many equivalent ratios. - A ratio is in its simplest form if the HCF of all the parts is one and all parts...

Pupil outcome: I can multiply, divide, add and subtract with algebraic fractions. Key learning points: - When multiplying/dividing, it can be easier to fully factorise every expression first. - When dividing by an expression, it is...

Pupil outcome: I can use the distributive law to factorise expressions where there is a common factor Key learning points: - An expression can be described as being factorised. - An expression can be described as being fully factorised....

Pupil outcome: I can explain how the distributive law can help to solve multiplication problems more efficiently, and write equations that show this. Key learning points: - 2 groups of ___ plus 3 groups of ___ is equal to 5 groups of ___...

Pupil outcome: I can change the subject of a formula involving multiple algebraic fractions. Key learning points: - It is important to identify which variable is to become the subject. - Like terms containing the new subject should be...

Pupil outcome: I can change the subject where the desired variable appears in multiple terms. Key learning points: - The variable to become the subject may appear in more than one term. - It is possible the terms cannot be additively...

Pupil outcome: I can see that when an additive step and a multiplicative step are required to solve an equation, the order of operations will not affect the solution. Key learning points: - When an equation is in the form Ax + B = C you...

Pupil outcome: I can simplify fractions by dividing both the numerator and denominator by common factors and know why this works. Key learning points: - When a fraction is multiplied by 1 it remains the same but may look different. -...

Pupil outcome: I can identify the highest common factor of two (or more) algebraic terms. Key learning points: - The highest common factor of two numbers can be found. - Common factors of two terms can be found. - It is possible to...

Pupil outcome: I can use my knowledge of the order of operations to write equations and to complete equations with missing numbers or operations. Key learning points: - When there are no brackets, multiplication and division are...

Pupil outcome: I can use the relationship between the numerator and denominator to simplify fractions. Key learning points: - If the multiplicative relationship between the numerator and denominator is the same, the fractions will be...

Pupil outcome: I can use understanding of equivalent fractions to solve problems. Key learning points: - If the multiplicative relationship between the numerator and denominator is the same, the fractions will be equivalent. - In...

Pupil outcome: I can simplify expressions involving algebraic fractions. Key learning points: - An algebraic fraction can have more than one term in the denominator. - Your equivalent fraction knowledge can be used to simplify the fraction.

Pupil outcome: I can manipulate and solve equations involving algebraic fractions. Key learning points: - Before performing any operation, equivalent fractions should be considered. - Algebraic fractions follow the same rules as...

Pupil outcome: I can use my knowledge of algebraic manipulation to solve problems. Key learning points: - Quadratic equations can model real-life situations. - Solutions would need to be interpreted in context. - The difference of two...

Pupil outcome: I can efficiently estimate the distance travelled for non-linear speed-time graphs. Key learning points: - The more trapezia used, the better the estimate. - Multiple trapezia can be calculated efficiently. - A formula for...

Pupil outcome: I can factorise quadratics of the form ax^2 + bx + c. Key learning points: - For these cases, there are restrictions on how you decompose the x term. - Using the area model can show why this is. - By considering the...

Pupil outcome: I can recognise that there is more than one way to remove a bracket when solving an equation. Key learning points: - It is possible to divide by the coefficient of the bracket first when solving an equation. - When there...

Pupil outcome: I can solve equations involving brackets. Key learning points: - Equations containing a bracket multiplied by a term can be solve in two ways. - If the term is a constant, it may be best to divide first. - If the term is...

Pupil outcome: I can solve equations involving brackets where simplification is necessary first. Key learning points: - Brackets where an expression is multiplied by a term can be expanded. - Like terms can then be collected so the...

Pupil outcome: I can express percentage shaded from shapes within shapes. Key learning points: - You can express a number as a fraction of another and therefore as a percentage. - If you have two areas, you can express one as a...

Pupil outcome: I can use algebra and algebraic manipulation to construct logical arguments. Key learning points: - A logical argument is a series of statements that progress in a clear way. - Each subsequent statement is based on the...

Pupil outcome: I can use my knowledge of perimeter, area and volume to solve problems. Key learning points: - The volume and surface area of shapes made from prisms and cylinders can be found. - The volume and surface area of shapes made...