The Hathershaw College

The Hathershaw College - Academy Trust

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Maths (Key Stage 3)

 

There are revision lessons after every topic and after every term, where students get the chance to solidify their learning and cover topics they are uncertain about. 

 

Year 7

What will pupils study this year?

 

 

 

 Autumn Term

 Number

Adding | Subtracting | Multiplying | Dividing | Using Operations | Multiplying & Dividing by 10, 100 and 1000 | Positive & Negative Numbers | Factors, Primes & Multiples | Multiplying & Dividing | Squares & Square Roots | More Powers & Roots | Calculations

 Algebra 1

Functions | Simplifying Expressions | Writing Expressions | Substituting into Formulae | Writing Formulae

 Data Handling

Tables & Pictograms | Bar Charts | Grouped Data | Mode & Modal Class | Mean, Mode, Median & Range | Displaying Data | Grouping Data | Averages & Comparing Data | Line Graphs | Using Spreadsheets Data Collection & Two-way Tables | Pie Charts | Scatter Diagrams

 Fractions, Decimals & Percentages

Comparing Fractions | Simplifying | Working with Fractions | Fractions & Decimals | Understanding Percentages | Percentage of Amounts | Adding & Subtracting Fractions | Working with Mixed Numbers 

 Spring Term

 Probability

The Language of Probability | Calculating | Experimental | Expected Outcomes

 Angles

Right Angles & Lines | Measuring Angles | Drawing & Estimating Angles | Putting Angles Together Angles & Parallel Lines | Triangles | Quadrilaterals | Polygons

 Ratio & Proportion

Direct Proportion | Writing Ratios | Using Ratios | Scales & Measure | Proportion & Fractions | Proportion & Percentages | Sharing in a Given Ratio | The Unitary Method

 Algebra 2

One-step Equations | Two-step Equations | More Complex Equations | Trial & Improvement

 Summer Term

 Shapes: Area & Volume

Decimals & Rounding | Length, Mass & Capacity | Scales & Coordinates | Working with Decimals Mentally| Working with Decimals | Perimeter & Area | Triangles, Parallelograms & Trapezia | Perimeter & Area of Compound Shapes | Properties of 3D Shapes | Surface Area | Volume | Measures & Areas of Volume

 Transformations

Congruency & Enlargements | Symmetry | Reflection | Rotation | Translations & Combined Transformations

 

Year 8

What will pupils study this year?

 

 

 

 Autumn Term

 Number Properties and Calculations Order positive and negative integers | Four operations with directed numbers | BIDMAS | Common factors/common multiples/HCF/LCM Prime factorisation | Use the four operations, including formal written methods, with positive and negative integers | Recognise powers of 2, 3, 4, 5 | Round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures] | Calculate possible errors resulting from estimating, expressed using inequality notation a < x ≤ b

 Expressions and Equations Use and interpret algebraic notation: brackets | Substitute numerical values into formulae and expressions, including scientific formulae | Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors | Collecting like terms, multiplying a single term over a bracket | Use and interpret algebraic notation: coefficients written as fractions rather than as decimals | Simplify and manipulate algebraic expressions to maintain equivalence: factorising | Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement) (one step and 2 step equations) | Construct and solve equations that involve multiplying out brackets by a negative number and collecting like terms (e.g. 4(2a – 1) = 32 – 3(2a – 2)) | Rearrange formulae to change the subject

 Statistics Construct and interpret pie charts describe | Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving continuous and grouped data | Describe, interpret and compare observed distributions of a single variable through: appropriate measures of central tendency (mean, mode, median) | Averages from tables | Scatter graphs | Stem and leaf

 Shapes & Measures Derive and apply formulae to calculate and solve problems involving volume of cuboids (including cubes) area of triangles, parallelograms, trapezia | Calculate and solve problems involving composite shapes | Change freely between related standard units [for example time, length, area, volume/capacity, mass] | Understand and use standard mathematical formulae | Derive and apply formulae to calculate and solve problems involving volume of prisms (including cylinders) | Calculate and solve problems involving perimeters of circles and areas of circles | Use Pythagoras’ theorem to solve problems involving right-angled triangles

 Spring Term

 Fractions and Percentages Express one quantity as a percentage of another | Interpret fractions and percentages as operators | Use the four operations, including formal written methods, with positive, negative fractions, improper fractions and mixed numbers | Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8) | Use standard units of mass, length, time, money and other measures, including with decimal quantities | Compare two quantities using percentages | Work with percentages greater than 100% | Interpret percentages multiplicatively | Interpret percentages and percentage changes as a fraction or a decimal | Recurring decimals

 Decimals and Ratios Order decimals and fractions | Use the symbols =, ≠, <, >, ≤, ≥ | Use the four operations, including formal written methods, with positive and negative decimals | Round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures] | Use ratio notation | Reduce a ratio to simplest form | Divide a given quantity into two parts in a given part:part ratio | Divide a given quantity into two parts in a given part:whole ratio | Express the division of a quantity into two parts as a ratio | Understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction

 Angles and Scales Draw and measure line segments and angles in geometric figures | Use the standard conventions for labelling the sides and angles of triangle abc | Apply the properties of angles at a point, straight line, vertically opposite angles | Derive and use the sum of angles in a triangle | Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies | Understand and use the relationship between parallel lines and alternate and corresponding angles | Use the sum of angles in a triangle to deduce the angle sum in any polygon | Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides | Use scale factors, scale diagrams | Use maps | Interpret scale drawings | Know and use the criteria for congruence of triangles | Identify and construct congruent triangles | Bearings

 Sequences and Graphs Generate terms of a sequence from a term-to-term rule and from a position-to-term | Recognise, sketch and produce graphs of linear functions of one variable and with appropriate scaling, using equations in x and y and the cartesian plane | Recognise arithmetic sequences | Find the nth term | Recognise geometric sequences and appreciate other sequences that arise | Reduce a given linear equation in two variables to the standard form y = mx + c | Calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically | Solve problems involving direct proportion and line graphs | Real life graphs | Use compound units such as speed, unit pricing and density to solve problems

 Summer Term

 Probability Record, describe and analyse the frequency of outcomes of simple probability experiments involving randomness, fairness, equally and unequally likely outcomes | Use appropriate language of probability | Understand that probabilities of all possible outcomes sum to 1 | Calculate probabilities and represent as fractions ,decimals and percentages | Use relative frequency and experimental probability | Draw and interpret independent probability trees

 Constructions & Loci Draw and measure line segments and angles in geometric figures | Derive and use the standard ruler and compass constructions: perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle | Recognise and use the perpendicular distance from a point to a line as the shortest distance to the line | Describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric | Use the standard conventions for labelling the sides and angles of triangle abc