# Year 7 Maths

• Round numbers to the nearest integer, to a given power of ten, to one significant figure and to one or two decimal places; estimate answers to one- stage calculations including problems involving money and measurement.
• Use the term `cube’; recall the cubes of 2, 3, 4, 5, and 10; use index notation for simple integer powers.
• Understand equivalent fractions, simplifying a fraction (including mixed numbers) by cancelling all common factors; multiply a fraction by an integer or a unit fraction.
• Use the equivalence between fractions, decimals and percentages in context; solve simple percentage problems including increase and decrease.
• Express one quantity as a fraction or percentage of another.
• Use the four operations with positive and negative integers.
• Solve problems involving substitution of positive numbers into simple algebraic formulas.
• Solve simple linear equations in which the unknown appears on either side of the equation.
• Manipulate algebraic expressions by collecting like terms.
• Use tables to plot graphs of linear functions given explicitly.
• Construct triangles using a ruler and protractor only given information about their sides and angles; use a straight edge and compasses to construct triangles with given sides including equilateral triangles.
• Use and interpret maps and scale drawings, including four-figure grid references and estimating distances and areas; use bearings to specify direction.
• Classify quadrilaterals by their geometric properties.
• Explore the geometry of cuboids (including cubes) and shapes made from cuboids; find the volumes of cuboids, recalling the formula; draw and interpret the net of a cuboid.
• Understand that rotations are specified by a centre and an angle; complete the rotation symmetry of 2-D shapes; measure the angle of rotation using right angles and simple fractions of a turn.
• List all outcomes for single events, and for two successive events, in a systematic way; find probabilities. Use the fact that the probability of not happening
• is 1 – probability of happening.
• Use and interpret the statistical measures mode, median, mean and range for discrete and continuous data, including comparing distributions.
• Construct and interpret pie charts.
• Use a calculator effectively and efficiently, including using the memory and bracket keys, and function keys for reciprocals, squares and powers; enter a range of measures including ‘time’; interpret the display; round off a final answer to a reasonable degree of accuracy.
• Use ratio notation, including reduction to its simplest form; solve word problems involving ratio and proportion.
• Solve problems involving the four operations on decimals without the use of a calculator; convert a simple fraction to a decimal using division.
• Use the four operations with fractions; order fractions using a common denominator.
• Perform calculations using the hierarchy of operations.
• Manipulate algebraic expressions by multiplying a single term over a bracket and by taking out single term common factors.
• Solve linear equations with integer coefficients in which the unknown appears on both sides of the equation, or with brackets.