Close # Maths

#### Year 7

Term Topics taught and learning outcomes
Term 1.1
• Use whole numbers and decimals effectively.
• Learn and use formulae for area and perimeter.
• Simplify mathematical expressions and understand formulae.

ASSESSMENT

• One topic test per unit.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 1.2
• Manipulate fractions, decimals and percentages.
• Measure and draw angles correctly.
• Use angle facts and identify properties of polygons.

ASSESSMENT

• One topic test per unit.
• Cumulative end of term test.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 2.1
• Recall coordinate skills and construct algebraic graphs.
• Use the four key operators and brackets effectively.
• Construct and interpret graphs effectively.

ASSESSMENT

• One topic test per unit.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 2.2
• Calculate averages and recall their definitions.
• Apply a transformation to a 2D shape.
• Solve linear equations.

ASSESSMENT

• One topic test per unit.
• Cumulative end of term test.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 3.1
• Find and use factors and multiples.
• Construct triangles and Loci.
• Identify 3D shapes, plans and elevations.

ASSESSMENT

• One topic test per unit.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 3.2
• Use sequences effectively.
• Calculate with decimals.
• Use a calculator effectively.

ASSESSMENT

• One topic test per unit.
• Summer progress exam.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.

#### Year 8

Term Topics taught and learning outcomes
Term 1.1
• Find factors and prime numbers. Estimate and approximate calculations.
• Apply correct units to measures.
• Use and apply the formulae for area and circumference of a circle.

ASSESSMENT

• One topic test per unit.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 1.2
• Expand brackets and factorise expressions. Re-arrange formulae.
• Apply the four basic operations to fractions. Calculate percentage change.
• Discover angle properties in parallel lines. Calculate the size of angles in Polygons.

ASSESSMENT

• One topic test per unit.
• Cumulative end of term test.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 2.1
• Draw a straight line graph in form y=mx +c. Interpret real-life graphs.
• Apply the four basic operations to decimals. Read calculator displays correctly.
• Construct and interpret statistical diagrams including scattergraphs.

ASSESSMENT

• One topic test per unit.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 2.2
• Interpret averages and calculate averages from a frequency table.
• Apply combination transformations. Use scales in enlargement.
• Understand scale drawings, calculate and construct bearings.

ASSESSMENT

• One topic test per unit.
• Cumulative end of term test.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 3.1
• Solve and construct multi-step equations with and without brackets (and with variables on both sides).
• Understand the order of mathematical operations. Apply rules of indices.
• Construct triangles and loci. Discover and use Pythagoras theorem.

ASSESSMENT

• One topic test per unit.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.
Term 3.2
• Find term to term, position to term and general term rules of sequences.
• Draw 2D representations of 3D shapes.
• Find volumes and surface areas of prisms.

ASSESSMENT

• One topic test per unit.
• Summer progress exam.

HOMEWORK

• A minimum of one piece of written homework per topic will be set.

#### Year 9 (foundation)

Term Topics taught and learning outcomes
Term 1.1
• Round, add, subtract, multiply and divide with whole numbers and decimals.
• Simplify and substitute into expressions.
• Use the laws of indices.

ASSESSMENT

• Topic tests

HOMEWORK

• Complete a minimum of one written homework per topic.
Term 1.2
• Expand and factorise expressions.
• Describe and apply the properties of angles.
• Identify and use congruence and similarity.

ASSESSMENT

• Topic tests.
• Cumulative end of term assessment.

HOMEWORK

• Complete a minimum of one written homework per topic.
Term 2.1
• Identify when a sample may be biased.
• Construct and interpret a variety of different charts.
• Compare distributions using median, mean, mode and range and identify outliers.

ASSESSMENT

• Topic test.

HOMEWORK

• Complete a minimum of one written homework per topic.
Term 2.2
• Convert between and compare fractions, decimals and percentages.
• Find fractions and percentages of amounts.
• Add, subtract, multiply and divide simple fractions and mixed numbers.

ASSESSMENT

• Topic test.
• Cumulative end of term assessment.

HOMEWORK

• Complete a minimum of one written homework per topic.
Term 3.1
• Substitute into and rearrange formulae.
• Expand and factorise with quadratic expressions.
• Know and apply formulae to calculate the area of triangles, parallelograms and trapezia.

ASSESSMENT

• Topic test.

HOMEWORK

• Complete a minimum of one written homework per topic.
Term 3.2
• Use bearings and interpret maps and scale drawings.
• Identify, describe and construct reflections, rotations, translations and enlargements.
• Use, calculate and compare probabilities.

ASSESSMENT

• Topic test.
• Cumulative end of term assessment.
• End of Year 9 assessment.

HOMEWORK

• Complete a minimum of one written homework per topic.
• Revision for end of year assessment.

#### Year 9 (higher)

Term Topics taught and learning outcomes
Term 1.1
• Order positive and negative integers and decimals.
Know how to round numbers to a given number of decimal places and significant figures.
• Understand and use mental and written methods to add, subtract, multiply and divide with positive and negative numbers and decimals.
• Use algebraic notation and simplify expressions by collecting like terms. Be able to substitute numbers into formulae and expressions.

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one homework per topic.
Term 1.2
• Understand and use the laws of indices. Multiply and factorise over a single bracket. Understand how to simplify, add, subtract and multiply algebraic fractions.
• Know and use angle facts at a point, on a line, at an intersection and for parallel lines. Use bearings to specify direction. Know the properties of polygons including interior and exterior angles for regular polygons.
• Identify congruent shapes and use the facts to prove geometric results.
• Identify similar shapes and use similarity to find lengths and areas.

ASSESSMENT

• Topic tests.
• Cumulative test.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one homework per topic.
Term 2.1
• Identify when a sample may be biased.
Construct frequency tables, bar charts and pie charts.
• Interpret frequency tables, bar charts and pie charts.
• Calculate the mean, median, mode range and inter-quartile range of a data set.
Use these averages and measures of spread to compare data sets.

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one homework per topic.
Term 2.2
• Know how to find the fraction and percentage of an amount. To convert and order between fractions, decimals (including recurring decimals) and percentages.
• Apply the four rules of number to fractions and mixed numbers.
• Substitute values into formulae and know how to rearrange to change the subject. Know how to write an equation to represent a function, find the inputs, outputs and inverse of a function.

ASSESSMENT

• Topic tests.
• Cumulative test.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one homework per topic.
Term 3.1
• Use the terms expression, equation, formula, identity, inequality, term and factor. know how to expand and factorise quadratics.
• Measure line segments and angles accurately and use them in scale drawings and bearings.
• Calculate the areas of triangles, parallelograms, trapezia and composite shapes.
• Describe and transform shapes using reflections, rotations, translations (described as a 2D vector) and enlargements ( including fractional and negative scale factors).

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one homework per topic.
Term 3.2
• Use experimental data to estimate probabilities of future events.
• Calculate theoretical probabilities by using the idea of equally likely events and using experimental probabilities.
• Recognise mutually exclusive events and exhaustive events and know that the probabilities of mutually exclusive events sum to 1.

ASSESSMENT

• Topic tests.
• Cumulative test.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one homework per topic.

#### Year 10 (foundation)

Term Topics taught and learning outcomes
Term 1.1
• Know and apply the formulae to calculate the area of triangles, parallelograms and trapezia. Use bearings and interpret maps and scale drawings.
• Identify, describe and construct reflections, rotations, translations and enlargements.
• Simplify and substitute into expressions. Use the laws of indices and expand and factorise expressions.

ASSESSMENT

• Topic tests.

HOMEWORK

• Complete a minimum of one homework per topic.
Term 1.2
• Construct and interpret a variety of tables and charts.
• Use and calculate and compare probabilities.
• Use rounding to make estimates of calculations. Use standard units of length, mass, volume, capacity, time and area.

ASSESSMENT

• Topic tests.
• Cumulative end of term assessment.

HOMEWORK

• Complete a minimum of one homework per topic.
Term 2.1
• Use and rearrange formulae. Expand and factorise with quadratic expressions.
• Solve linear inequalities in one variable and represent the solution on a number line.

ASSESSMENT

• Topic tests.

HOMEWORK

• Complete a minimum of one homework per topic.
Term 2.2
• Use a ruler and a compass to complete various constructions and solve loci problems.
• Divide a quantity into a given ratio and reduce a ratio to its simplest form.
• Use fractions and percentages to describe a proportion and solve problems involving percentage change.

ASSESSMENT

• Topic tests.
• Cumulative end of term assessment.

HOMEWORK

• Complete a minimum of one homework per topic.
Term 3.1
• Plot and interpret straight line graphs.
• Identify the numbers of faces, edges and vertices of 3D shapes and construct and interpret plans and elevations.
• Calculate the volume and surface area of cuboids, cylinders, other prisms, spheres, pyramids, cones and composite solids.

ASSESSMENT

• Topic tests.

HOMEWORK

• Complete a minimum of one homework per topic.
Term 3.2
• Construct graphs and charts for grouped data. Use averages and range to interpret and compare distributions.
• Plot and interpret scatter graphs. Draw lines of best fit and make predictions. Interpret and construct line graphs for time series data.
• Calculate with roots, indices, fractions, multiples of pi and numbers written in standard form.

ASSESSMENT

• Topic tests.
• End of Year 10 assessment.

HOMEWORK

• Complete a minimum of one homework per topic.
• Revision for end of year assessment.

#### Year 10 (higher)

Term Topics taught and learning outcomes
Term 1.1
• Measure line segments and angles accurately and use them with scale drawing and bearings.
• Calculate the areas of triangles, parallelograms, trapezia and composite shapes.
• Describe and transform shapes using reflections, rotations, translations (described as 2D vectors) and enlargements (including fractional and negative scale factors) and to identify combinations of transformations.
• Know how to use experimental data to estimate probabilities. Calculate theoretical probabilities using the idea of equally likely events and experimental probabilities. Recognise mutually exclusive and exhaustive events and know that the probability of these add to 1.

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one written homework per week..
Term 1.2
• Use approximate values to estimate calculations and check answers obtained from a calculator. Look at how an amount has been rounded and work out the upper and lower bounds for the original answer.
Solve problems involving speed and density.
• Use algebraic notation and simplify expressions by collecting like terms. Be able to substitute numbers into formulae and expressions.
Understand and use the laws of indices. Multiply and factorise over a single bracket. Understand how to simplify, add, subtract and multiply algebraic fractions.
• Solve linear equations and inequalities including when the unknown is on both sides and display the answer on a number line.
• Solve quadratic equations, linear and quadratic simultaneous equations, using trial and improvement.

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.
• Cumulative test.

HOMEWORK

• Minimum of one written homework per week.
Term 2.1
• Calculate the area and circumference of a circle and composite shapes involving circles, find arc lengths, angles and areas of sectors.
• Prove and apply circle theorems. Use compass constructions to solve problems involving loci.
• Express proportions of amounts as fractions or percentages and to divide into a given ratio.
• Calculate percentage increases and decreases and the original value of quantity that has undergone a percentage increase or decrease.

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one written homework per week.
Term 2.2
• Know and use the language of prime numbers, factors and multiples. Write a number as the product of its primes, find the HCK and LCM of a pair of integers, find and estimate the square and cubed root and apply the laws of indices. Simply expressions involving surds.
• Substitute values into formulae and know how to rearrange to change the subject. know how to write an equation to represent a function, find the inputs, outputs and inverse of a function.
• Use the terms expression, equation, formula, identity, inequality, term and factor. know how to expand and factorise quadratics.

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.
• Cumulative test.

HOMEWORK

• Minimum of one written homework per week.
Term 3.1
• Find and interpret the gradient and y-intercept of a line and relate these to the equation of the form y=mx+c hence identifying parallel and perpendicular lines.
Draw line graphs and quadratic curves to identify roots, intercepts and turning points using graphical and algebraic methods.
Use graphs to solve problems involving distance speed and acceleration.
• Draw and interpret plans and elevations of 3D shapes. Calculate the volume and surface areas of cubiods and prisms.
• Know and apply the relationship between lengths, areas and volumes of similar shapes.

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.

HOMEWORK

• Minimum of one written homework per week.
Term 3.2
• Use frequency tables to represent grouped data. Use these to construct histograms with equal or unequal class widths. Calculate summary statistics from a grouped frequency table.
• Plot scatter graphs and recognise correlation, draw lines of best fit and use them to make predictions.
• Perform calculations involving roots and indices (including negative and fractional indices), fractions, surds and pi.
• Work with numbers in standard form.

ASSESSMENT

• Topic tests.
• Next steps and exam type questions.
• Summer progress exam.

HOMEWORK

• Minimum of one written homework per week.

#### Year 11 (foundation)

Term Topics taught and learning outcomes
Term 1.1
• Draw and interpret a range of linear and non linear graphs.
• Complete the Translation, Rotation, Reflection and Enlargement of a 2D shape.
• Describe single and multiple transformations.

ASSESSMENT

• Topic tests.
• GCSE past papers.

HOMEWORK

• Complete a minimum of one homework per topic.
Term 1.2
• Produce and interpret line graphs and scatter graphs.
• Draw lines of best fit and use them to make predictions.
• Work out calculations involving reciprocals, powers, square roots and cube roots using a calculator.

ASSESSMENT

• Topic tests.
• GCSE past papers.
• Winter progress exam.

HOMEWORK

• Complete a minimum of one homework per topic.
• Revision for winter progress exam.
Term 2.1
• Represent probabilities on a probability scale and numerically. Also, estimate a probability from the results of an experiment.
• Use sample space diagrams and two way tables to find probabilities of events.
• Understand and apply Pythagoras' Theorem to a variety of problems.

ASSESSMENT

• Topic tests.
• GCSE past papers.

HOMEWORK

• Complete a minimum of one homework per topic.
Term 2.2
• Understand, use and write word formulae.
• Use and write algebraic formulae.
• Rearrange a formula to make a different variable the subject of the formula.

ASSESSMENT

• Topic tests.
• GCSE past papers.

HOMEWORK

• Complete a minimum of one homework per topic.
Term 3.1
• Use of GCSE past papers to inform PSTs.
• Use of PST to identify revision topics.

ASSESSMENT

• GCSE past papers

HOMEWORK

• Complete revision questions set every two weeks.
Term 3.2

End of course

#### Year 11 (higher)

Term Topics taught and learning outcomes
Term 1.1
• Construct triangles, perpendiculars, angle bisectors, loci and regions using a ruler and a pair of compasses.
• Recognise and draw graphs of quadratic, cubic, reciprocal and exponential functions.
Use a graph to solve quadratics equations.
• Find approximate solutions of equations by using a trial and improvement method.

ASSESSMENT

• Topic tests.
• GCSE past papers linked to PSTs.

HOMEWORK

• Minimum of one written homework per week.
Term 1.2
• Set up and solve a pair of simultaneous equations in two both algebraically and graphically.
• Solve quadratic equations by factorisation, completing the square and using the formula.
• Solve algebraic fraction equations and quadratic equations.
• Solve a pair of simultaneous equations in two unknowns when one equation is linear and the other equation is quadratic or a circle.

ASSESSMENT

• Topic tests.
• GCSE past papers linked to PSTs.
• Winter progress exam.

HOMEWORK

• Minimum of one written homework per week.
Term 2.1
• Understand and use vector notation.
• Calculate the resultant of two vectors and learn how to solve geometrical problems in two dimensions and apply vector methods for simple geometrical proofs.
• Use function notation and learn the simple relationship between simple transformations of curves and their effect on the equation of curves.

ASSESSMENT

• Topic tests.
• GCSE past papers linked to PSTs.

HOMEWORK

• Minimum of one written homework per week.
Term 2.2
• Use Pythagoras' Theorem and trigonometry in three dimensions.
• Find the size of an angle between a line and a plane.
• Draw, sketch and recognise graphs of the trigonometric functions y=sinx and y=cosx.

ASSESSMENT

• Topic tests
• GCSE past papers linked to PSTs

HOMEWORK

• Minimum of one written homework per week.
Term 3.1
• Simplify algebraic fractions.
• Add, subtract, multiply and divide algebraic fractions.
• Prove a given result using algebra.

ASSESSMENT

• GCSE Past Papers linked to PSTs

HOMEWORK

• Complete revision questions set every two weeks.
Term 3.2

End of course