Pupil outcome: I can identify the highest square factor of any term including those written with algebra. Key learning points: - Numbers can be classified as surds or not surds. - Square factors of numerical and algebraic terms can be...

Pupil outcome: I can apply the distributive law to expressions involving surds. Key learning points: - Knowing how to perform arithmetic operations with surds means the distributive law can be considered. - Surds could be seen in either...

Pupil outcome: I can simplify surds. Key learning points: - The radicand should be as small as possible. - If any of the radicand's factors are square numbers then the surd can be simplified. - Algebraic factors that are square values...

Pupil outcome: I can move fluently between a ratio, percentage and fractions and compare these. Key learning points: - A multiplicative relationship can be described by a ratio. - A multiplicative relationship can be described by a...

Pupil outcome: I can appreciate the structure that underpins multiplication of surds. Key learning points: - The square root operation is equivalent to the exponent 0.5 where the base is the term under the square root. - You can deduce...

Pupil outcome: I can express one number as a fraction of another. Key learning points: - There exists a multiplier for any pair of values. - The multiplier is more than just a scaling factor. - The multiplier also expresses one number as...

Pupil outcome: I can generalise and fluently use strategies to multiply with mixed numbers. Key learning points: - Mixed numbers can be converted into improper fractions. - It is not necessary to convert both fractions. - Each fraction...

Pupil outcome: I can generalise and fluently use addition and subtraction strategies to calculate with fractions and mixed numbers. Key learning points: - To make the denominators the same, you may need to scale up or down. - It can be...

Pupil outcome: I can divide the numerator of a fraction by its denominator and know that this results in an equivalent recurring decimal. Key learning points: - Dividing the numerator by the denominator may result in an equivalent...

Pupil outcome: I can use the technique of rationalising the denominator to transform a fraction to an equivalent fraction. Key learning points: - Fractions should be given in their simplest term. - The denominator should be written as...

Pupil outcome: I can find quantities given a change in the ratio. Key learning points: - It is important to preserve the relationship between the parts of a ratio. - Changing this relationship would change the ratio. - When the ratio...

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 use the mathematical structures that underpin the division of fractions to divide a fraction by a whole number. Key learning points: - A diagram can help to show the underlying structure. - A fraction can be...

Pupil outcome: I can calculate using priority of operations, including brackets, powers, exponents and reciprocals with positive and negative integers, decimals and fractions. Key learning points: - Division and multiplication have the...

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 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 find the equation of the line from the graph. Key learning points: - Linear equations can be rearranged into the form y = mx + c - The gradient (m) and the y-intercept (c) can be determined from the graph. - The...

Pupil outcome: I can identify, from their equations or graphs, whether two lines are perpendicular. Key learning points: - If two equations are written in the form y = mx + c then you can identify if they are perpendicular. - If the...

Pupil outcome: I can use my knowledge of ratio to solve problems. Key learning points: - It is important to preserve the relationship between the parts of a ratio. - Changing this relationship would change the ratio. - Painting, cooking...

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 generalise and fluently use written addition and subtraction strategies, including columnar formats, with decimals. Key learning points: - Addition and subtraction strategies can make calculations easier. - The...

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.