Year 7 Mathematics Notes

Use angle relationships, polygon properties and classification algorithms to solve and explain spatial problems.

Represent natural numbers with prime factors, exponents and powers of 10, and solve problems with perfect squares and square roots.

Use all four operations with positive fractions and decimals, round results to an accuracy suited to the context, and check reasonableness.

Convert, compare and choose among equivalent fraction, decimal and percentage representations.

Describe visually growing and numerical patterns, formulate rules and use them to find terms.

Solve one-variable linear equations with natural-number solutions and verify each solution by substitution.

Model practical percentage and financial problems, calculate efficiently and interpret whether the answer fits the situation.

Solve perimeter and area problems for rectangles, parallelograms and triangles using appropriate units.

Compare, order, add and subtract integers and interpret signs in practical contexts.

Investigate and describe the relationships among a circle's radius, diameter, circumference and pi.

Formulate, solve and interpret practical ratio models using one common multiplicative scale factor.

Compare two-dimensional representations of objects and describe translations, reflections and rotations with coordinates.

List sample spaces, assign probabilities, predict relative frequencies and explain simulation variation.

Plan investigations, acquire numerical data, create displays and interpret distributions with suitable summary statistics.

Represent everyday formulas algebraically, substitute known values and determine unknown values.

Generate tables, plot ordered pairs and describe relationships between variables in authentic graphs.

Use variables, constants, operations and brackets to represent situations and evaluate expressions.

Calculate volumes of right rectangular and triangular prisms and solve practical volume problems.

Represent part-to-part and part-to-whole ratios, then generate and simplify equivalent ratios using multiplicative reasoning.