Using symbols and expressions to think mathematically resources

Students explore the additive identity by completing open number sentences.

Students explore the additive identity by deciding whether addition and subtraction number sentences are true or false.

Students complete number relationships using 'is greater than' and 'is less than'.

Students identify different parts of linear formulae which describe costs for buying and transporting clothing.

Students expand algebraic expressions.

Students use measurements to write algebraic expressions for the perimeter and area of a garden.

Students expand and simplify algebraic expressions based on measurements of a path around a lawn.

Students select the equations that show the commutative law.

Students interpret a relationship diagram about the relative heights of four children.

Students complete a table and a graph of an equation about the costs of bike repairs, then interpret the graph to respond to questions.

Students complete a table based on an algebraic formula for free fall velocity, plot the results, and interpret the graph.

Students select the correct operation to make equations true.

Students solve different forms of addition equations.

Students use the additive identity and the commutative property to assist them to solve simple equations without calculating.

Students solve different forms of subtraction equations.

Students find and write the numbers to complete equations that add to 10.

Students explore multiplicative relationships by completing multiplication equations.

Students explore multiplicative relationships by completing multiplication equations using a restricted range of numbers.

Students use addition and subtraction to solve story problems and show their equations.

Students evaluate and simplify algebraic expressions for the side lengths and perimeter of a composite shape. They then find x for a given perimeter.

Students write the simplest algebraic expressions for the lengths and area of parts of a composite shape, then solve these expressions using substitution. They then solve an equation that relates an algebraic expression to a given side length.

Students interpret and answer questions about a relationship diagram that shows which of four children are older than each other.

Students complete linear equations by selecting from a range of numbers.

Students use plastic money to explore and continue a number pattern about going to a disco. They then describe the pattern.

Students show their understanding of the properties of zero and one, by filling in the missing numbers or signs (+ or ×) in a range of equations.