Mathematics

Number & Measure:

• Factors, Multiples, Squares, Square Roots, Primes and Divisibility tests. Powers and roots. Finding HCF and LCM logically.
• Simple estimation and rounding to decimal places and significant figures.
• Multiplication – standard methods up to 4 digit by 2 digit.
• Negative numbers including +/-/x/÷and order of operations.
• Conversion between metric units.
• Time including time in decimal form.
• Fractions, decimals, and percentage problems.

Geometry:

• Angle facts.
• Properties of 2D and 3D shapes.
• Area and perimeter of rectangles, triangles, parallelograms and composite shapes.
• Volume and surface area of cubes and cuboids.
• Metric and Imperial Units and their connections.
• Reflective and rotational symmetry in shapes, transformations & formal constructions.
• Coordinates and straight line graphs.

Algebra:

• Using letters in place of unknowns & variables and simplifying expressions. Create and use formulae.
• Solving simple equations.
• Generate sequences from term-to-term and position to term rules.

Statistics:

• Work confidently with discrete data. Representing and interpreting data in graphical form. Comparing two data sets.

Ratio, Proportion and Rates of Change:

• Understand the relationship between ratio and proportion.
• Solve proportional and ratio problems.

Number & Measure:

• Use integer powers of 2, 3, 4, 5 and their associated roots.
• Four rules of fractions and negative numbers and questions involving BIDMAS.
• Multiply and divide an integer by a decimal and a decimal by a decimal.
• Prime factor form including application to highest common factor and lowest common multiple.
• Use multipliers to calculate a percentage increase/decrease.

Geometry:

• Angles associated with parallel lines.
• The sums of the interior and exterior angles of regular/irregular polygons.
• Transform 2-D shapes by simple combinations of rotations, reflections, enlargements and translations, on paper and using ICT.
• Formal constructions and loci, both by reasoning and by using ICT, to produce shapes and paths.
• Use bearings including the eight compass point bearings and three-figure bearings.
• Extend area to trapezium; calculate areas of compound shapes.

Algebra:

• Recognise and plot equations of the form y = mx + c correspond to straight-line graphs.
• Construct linear functions arising from real-life problems and plot their corresponding graphs; discuss and interpret graphs arising from real situations.
• Construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets).
• Begin to work with inequalities such as listing integer values that satisfy -4 ≤ x< 3 and appreciating all the real values of x that satisfy this.
• Use linear expressions to describe the nth term of a linear sequence.

Probability:

• Find and record all mutually exclusive outcomes for single events and two successive events in a systematic way, using two-way tables, tree diagrams and Venn diagrams.

Statistics:

• Scatter graphs and linear correlation.
• Understand what is meant by a sample.
• Design questionnaires.
• Produce and interpret stem and leaf diagrams, pie charts, bar charts and frequency diagrams.
• Averages from a frequency table.
• Compare two or more sets of data.

Ratio, Proportion and Rates of Change:

• Use Scale drawings and map scales.
• Use the unitary method to solve simple word problems involving ratio and direct proportion.
• Divide a quantity into two or more parts in a given ratio, find missing quantities from a ratio and express a ratio in the form 1: n

Number & Measure:

• Cancel common factors before multiplying or dividing fractions.
• Multiply and divide by decimals.
• Use a calculator efficiently to perform complex calculations with numbers of any size including fractions and negative numbers, knowing not to round during intermediate steps of a calculation; use p and sign change keys, function keys for powers, roots and fractions, brackets and the memory.  Interpret the display in context.
• Estimate square roots and cube roots.

Geometry:

• Extend angles in polygons work.
• Convert between area and volume measures (mm2 to cm2, cm2 to m2, mm3 to cm3, cm3 to m3, and vice versa).
• Find the circumference and area of a circle.
• Calculate the surface area and volume of right prisms.
• Understand congruence.
• Visualise and use 2-D representations of 3-D objects; including plans and elevations.
• Enlarge 2-D shapes, given a centre of enlargement and any scale factor, on paper and using ICT; identify the scale factor of an enlargement and recognise that enlargements preserve angle but not length.
• Pythagoras’ Theorem.
• Trigonometry in right-angled triangles

Algebra:

• Find the inverse of a linear function.
• Construct and solve linear equations with integer coefficients.
• Use systematic trial and improvement methods and ICT tools to find approximate solutions of equations such as x3 + x = 20.
• Solve problems involving direct proportion using algebraic methods.
• Generate points and plot graphs of linear functions where y is given implicitly in terms of x, e.g. ay + bx = 0, y + bx + c = 0.
• Distance–time graphs.
• Factorise by common factors.
• Use formulae from mathematics and other subjects.
• List integer values that satisfy a given inequality and represent inequalities on number lines.

Probability:

• Use frequency trees and link to probabilities

Statistics:

• Work confidently with continuous data including: grouping data, estimating the mean, modal class and the interval containing the median.

Ratio, Proportion and Rates of Change:

• Find percentage changes.
• Calculate simple interest, VAT, discounts, pay rises and simple compound interest.
• Interpret and use ratio in a range of contexts, including solving word problems.
• Extend working with map scales.