Mathematics. Year 7. Autumn Term

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1 Mathematics Year 7 Autumn Term Decimals o Use place value with decimals o Add and subtract, multiply and divide decimal numbers Basic Arithmetic o Multiply by a two or three digit number o Divide by a two digit number o Solve mixed problems o Practise long division and long multiplication o Solve word problems Fractions o Find equivalent fractions o Find a fraction of a number o Add and subtract fractions (including mixed numbers), Multiply and divide fractions Negative numbers o Add and subtract, multiply and divide negative numbers Rounding o Rounding to decimal places o Rounding to significant figures o Calculate using estimates Angles o Label angles o Measure and draw angles with a protractor o Calculate angles on a straight line and in a triangle o Calculate angles with parallel angles and in a quadrilateral Algebra o Use letters for numbers o Collect like terms o Multiply algebraic terms o Substitute numbers into a formula (including negative numbers) o Solve basic equations o Multiply out single brackets o Equations with brackets Co-ordinates o Use coordinates with positive and negative numbers o Solve problems involving shapes Straight line graphs o Lines which are parallel to the axes (including x=0 and y=0) o Sloping lines o Finding the equation of a line o Drawing straight line graphs o Using y = mx + c to find the gradient and y-intercept and using y = mx + c to help draw graphs Transformations o Line symmetry o Rotating shapes o Rotational symmetry o Translations o Reflections (including on graphs, identifying lines of reflection and drawing lines of reflection using graphs) Spring Term Averages o The mean, median, mode and range from raw data and frequency tables o Comparing sets of data o Stem and leaf finding the median and range

2 Probability o Discuss equally and unequally likely outcomes o The 0-1 probability scale o The probability of events not occurring o The expected number of times an event will occur o Probability involving two events o Experimental probability Properties of numbers o Label angles o Measure and draw angles with a protractor o Calculate angles on a straight line o Calculate angles in a triangle o Calculate angles with parallel angles o Calculate angles in a quadrilateral Constructing Triangles o Construct triangles with a protractor and ruler o Construct triangles with three sides given Using Algebra o Understand and use the concepts and vocabulary of expressions, equations, terms and factors o Learn about the rules of algebra in expressions o Introduce algebra to solve problems Using Ratios o Use and simplify simple ratios o Share quantities in a given ratio o Use ratio in a range of contexts o Solve problems using map scales Area and Perimeter o Learn about rectangles, triangles, parallelograms and trapeziums o Solve a variety of problems Circles o Find the circumference of a circle o Find the area of a circle o Perimeters of compound shapes Scatter Graphs Summer Term Volume o The volume of cuboids Bar Charts and Pie Charts Constructions o Perpendicular bisector of a line only o Angle bisector o Constructing angles of size 30 o, 45 o, 60 o, 75 o Fractions, Decimals, Percentages o Write fractions, decimals and percentages in different forms o Learn about recurring decimals o Solve problems involving percentage increase or decrease o Express one quantity as a percentage of another o Discuss comparing two quantities using percentages o Discuss and work with percentages greater than 100% Metric and Imperial Units o Convert metric units o Convert imperial units o Convert between metric and imperial units o Will only do above two if in GCSE syllabus o Change units for some problems Sequences o Find the next term in a sequence o Find and use a rule for a sequence, Solve problems involving harder sequences o Find rules for sequences

3 Properties of 2D shapes o Illustrate properties of triangles, quadrilaterals, circles, and other plane figures (e.g. equal lengths and angles) using appropriate language and technologies Powers and Roots o Use integer powers and associated real roots (square, cube and higher) o Recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations Problem Solving o Problems involving time, money and other measures, including with decimal quantities Year 8 Review of Fractions o Equivalent fractions o Adding and subtracting fractions, Multiplying fractions, Dividing by a fraction Negative Numbers o Revision and consolidation of: o Adding and subtracting negative numbers, Multiplying and dividing negative numbers Using a calculator Brackets and Equations o Multiply out brackets and simplify expressions o Solve linear equations o Solve problems by forming equations o Solve equations involving fractions, Solve equations involving brackets o Solve word problems by forming equations o Use algebra to explain connections Construction and Locus o Constructing a perpendicular to a given line from/at a given point o Learn to draw and describe the locus of a point o Learn to draw constructions with ruler and compasses only Pythagoras Theorem Sequences o Solve problems using differences in sequences o Use mapping diagrams or tables or any other method to find the nth term of a sequence Drawing 3D objects o Draw three dimensional objects on isometric paper o Solve problems with objects o Learn about drawing three views of an object Questionnaires o Know what makes a good questionnaire o Recognise why certain questionnaires are not suitable o Use correct language to describe the shortfalls of a questionnaire Volume o Volume of a cuboid and other prisms, cylinder, volume in context Enlargement o Recognise enlargements and their properties o Draw enlargements of shapes with and without grids o Use the centre of enlargement o No negative or fractional enlargements at this stage Geometric Reasoning, o Find angles using a wide range of angle properties, Constructions o Prove results in geometry Bearings and Scale Drawings Constructions o Standard constructions using compasses: o Perpendicular bisector of a line segment, Perpendicular from a point to a line o Perpendicular from a point on a line, Angle bisector Percentages o Revise and consolidate percentage increase and decrease o Learn about reverse percentages o Answer mixed questions involving percentages

4 Angles in Polygons Fractions o Solve problems involving fractions o Learn about recurring decimals, Learn about algebraic fractions Changing the subject of a Formula Factorising Straight line graphs o How to find the gradient of a line o How to find the y-intercept of a line o Answer questions with straight lines in the form y=mx+c o Gradients of parallel or perpendicular lines Averages o Review averages and range from frequency tables o Averages from grouped frequency distributions Compound Measures o Solve problems involving speed, distance and time o Solve problems involving density, rates of change and various compound measures Simultaneous Equations o How to solve simultaneous equations with a graph o How to solve simultaneous equations algebraically o Problems by using simultaneous equations Congruent Shapes & Construction o Congruent triangles o Review constructions using a ruler and compass Interest o Simple & Compound interest o Use percentage multipliers and formulae Reading & Interpreting Charts & Graphs o Pie charts, bar charts and scatter graphs o Interpret and draw line graphs and sketch graphs o Read and draw travel graphs Working with Indices o Rules for multiplying and dividing using indices o Raising to a further power and the zero index o Solve equations involving indices Standard Form o Write numbers in standard form o Use standard form on a calculator o Multiply and divide numbers in standard form without a calculator Drawing and using graphs o Draw curved graphs o Recognise different types of graphs Sets o Members of a set, Use of symbols { }, etc. o Finite and infinite sets, Empty set, Universal set o Complement of a set, Equal sets o Venn diagrams and the intersection & union of two sets o Shading sets Multiplying Brackets Probability o Experimental probability, probability with one or two events, exclusive events Roots & Reciprocals o Use of notation Types of Number o Infinite nature of the sets of integers, real and rational numbers o Definitions of the above types of numbers Inequalities o Use symbols <, >,,,, = o Representing inequalities on a line o Writing down an inequality from a line, solve inequalities, inequalities with two variables

5 Year 9 Standard Form o Write numbers in standard form, Solve problems involving numbers in standard form o Use standard form on a calculator o All four operations in standard form without using a calculator Factorising (Single Brackets) Expanding Double Brackets Factorising Quadratics o Factorise quadratic expressions where the coefficient of x 2 is 1 o Recognise and factorise expressions involving the difference of two squares Changing the Subject of the Formula Trigonometry o Find an angle or a side in a right-angled triangle, Find the length of the hypotenuse o Use trigonometry for problem solving Angles in Polygons Data Handling o Basic recall on averages, range & quartiles from raw data & stem & leaf diagrams o Averages from frequency distributions o All averages & range from grouped data o Frequency Polygons, o Cumulative Frequency o Box plots, Comparing sets of data with box plots Solving Harder Equations Inequalities Compound Measures o Solve problems involving speed, distance and time o Solve problems involving density, mass and volume Sets o Members of a set o Use of symbols { }, etc. o Finite and infinite sets, Empty set, Universal set, Complement of a set, Equal sets o Venn diagrams and the intersection & union of two sets, Shading sets Congruent Shapes Similar shapes o Know the definition of similar shapes o Use similar shapes, particularly triangles o Find missing sides of similar shapes using scale factor of enlargement and ratios of corresponding sides Percentages o Find a percentage change (including percentage profit/loss) o Difference between Simple & Compound interest o Use percentage multipliers and formulae o Solve Compound Interest-type problems o Reverse percentages Roots & Reciprocals Types of Number o Talk about the infinite nature of the sets of integers, real and rational numbers o Learn about the definitions of the above types of numbers Trial & Improvement Upper & Lower Bounds Circle Theorems o Use all of the following circle properties: o Angles in semi-circles, angles at centre, angles at circumference, cyclic quadrilaterals, tangent to radius, two tangent and alternate segment. o Solve mixed problems on circle theorems Indices o Multiply and divide using indices o Use negative indices o Use negative indices, Use fractional indices o Find indices from equations

6 Two way Tables Drawing & Recognising Curved Graphs Metric & Imperial Units Bearings Trigonometry Sine & Cosine Rules Banking ICT Project o How to read and understand a bank statement o Why it is helpful to keep a personal budget and what is meant by income and expenditure and how to draw up a personal budget o The terms on a payslip and to calculate earnings and deductions