Pupil outcome: I can use the formula for the area of a circle to calculate either the area or a missing measurement. Key learning points: - The area of any circle can be found if the radius is known. - The radius can be calculated from...

Pupil outcome: I can use the keys for squares and other powers and square root on a calculator. Key learning points: - The square root of any number can be found using a calculator but it may not be an integer. - The power button on a...

Pupil outcome: I can use Pythagoras' theorem to find the length of any side of a right-angled triangle. Key learning points: - The sum of the squares of the two shorter sides equals the square of the longest side. - The longest side is...

Pupil outcome: I can calculate the length of a line segment on a coordinate grid in all four quadrants or using the coordinate pairs. Key learning points: - Any line segment can be turned into a right-angled triangle by adding two lines...

Pupil outcome: I can multiply and divide with surds. Key learning points: - The multiplication of surds can be generalised. - √a × √b=√ab and √a × √(1/b) = √(a/b) = √a ÷ √b - You may be able to simplify this product.

Pupil outcome: I can use my knowledge of surds to solve problems. Key learning points: - Surds are a useful format to leave an answer as. - Surds can help with the accuracy of future calculations. - Surds can be seen in many areas of maths.

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 calculate the surface area of a sphere. Key learning points: - There is a formula for the surface area of a sphere. - Demonstration allows you to see that this formula works. - The formula can be used to calculate a...

Pupil outcome: I can factorise quadratics of the form x^2 + bx + c including using the difference of two squares. Key learning points: - When the coefficient of the x term is zero, you may still be able to factorise. - There is a...

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 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 use the general form for an inversely proportional relationship to find k. Key learning points: - Inverse proportion equations are of the form y = k ÷ x^n - The equation can be written in the form yx^n = k - k is the...

Pupil outcome: I can identify, write and solve inverse proportion questions involving algebra. Key learning points: - Inverse proportion equations are of the form y = k ÷ x^n - k is the constant of proportionality. - To find k, you can...

Pupil outcome: I can identify and solve proportion questions involving algebra. Key learning points: - The question does not always state the type of proportion. - The context of the question can be used to determine the type of...

Pupil outcome: I can apply an understanding of inverse operations to a formula in order to make a specific variable the subject. Key learning points: - Rearranging the formula may be beneficial when what you wish to calculate is not the...

Pupil outcome: I can fluently use certain calculator functions and use a calculator appropriately. Key learning points: - Division can be inputted using different calculator buttons. - A calculator can produce an error if not programmed...

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

Pupil outcome: I can explain the concept of square root and cube root and calculate them. Key learning points: - The square root of any perfect square will be an integer. - The square root of any perfect square will be an integer and can...

Pupil outcome: I can use the laws of indices with fractional exponents. Key learning points: - All of the index laws can be applied with fractional exponents. - Using a calculator can help you to form an idea about how to evaluate a...

Pupil outcome: I can calculate with roots and integer indices, including estimating the answer. Key learning points: - Integer indices state how often a number should be multiplied by itself. - The square root of any perfect square will...

Pupil outcome: I can appreciate the accuracy in leaving an answer without carrying out the final operation. Key learning points: - There is always a choice regarding how you represent a value. - You need to consider the most suitable way...

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 calculate compound interest rates given start and end values. Key learning points: - If the compound interest rate is fixed but unknown, you can calculate it. - To calculate it you need to know the start and end...

Pupil outcome: I can substitute particular values into a generalised algebraic statement to find a sense of how the value of the expression changes. Key learning points: - Expressions and formulae in context can be evaluated for...