Number and Algebra resources

Students identify and give rules for when numbers are divisible by three or by nine.

Students factorise algebraic expressions.

Students use substitution into equations to evaluate the number of blocks and total surface areas in shapes of different heights. The stimulus can be used as a challenging task to try and derive the rules from the spatial pattern. This is classified as Patterns and Relationships.

Students write equations for story problems describing practical situations.

Students write and solve equations for story problems describing practical situations.

Different selections are made from a canteen menu that will cost a given amount. An extension activity is given that asks for all possible combinations to be found.

Students calculate the changes to an account balance after two withdrawals and a deposit.

Students complete a table showing the number of counters used to make a series of L-shapes. They identify the number of counters needed for different situations, and describe the relationship as a rule.

Students convert numbers from standard form to ordinary form.

Students use number lines to show how to solve whole number addition and subtraction problems.

Students order given temperatures from lowest to highest.

Students write algebraic expressions with indices which make equations true.

Students select which person has correctly applied the laws of indices to some problems, and explain their choice.

Students complete a table showing a family of sons increasing by a power, and calculate the next power showing their working.

Students solve problems involving rates of pay based on a formula using powers, and compare this to a fixed rate of pay.

Students calculate and evaluate powers of whole numbers.

Students evaluate a number of expressions involving the laws of indices (exponents).

Students identify what happens to indices when simplifying algebraic expressions.

Students answer questions involving adding and subtracting fractions of food.

Students answer questions involving adding and subtracting fractions of food.

Students interpret a table of distances for a long jump competition, written to two decimal places, finding the longest and shortest jumps and ordering sets of three numbers.

Students solve given algebraic expressions using substitution.

Students identify the larger of two improper fractions and drag a number of improper and mixed fractions into ascending order.

Students work out different percentages of a sum of money and the percentage of money left over.

Students use addition and subtraction to calculate the changing balance in a students back account.