Maths

Year 9 E

Half Term 1

Manipulating Fractions, Multiplying Frac & Dec, Area, Expressions, Volumes of Prisms 

  • Manipulating Fractions

    Fractions of quantities

    Ordering fractions

    Ordering fractions

    Multiplying Frac & Dec

    Multiplying fractions

    Multiplying decimals

    Dividing fractions and decimals

    Area

    Quadrilaterals and triangles

    Compound shapes

    Circles and Sectors

    Expressions

    Expanding and simplifying

    Factorise expressions

    Form expressions

    Volumes of Prisms

    Cuboids and Triangular Prisms

    Cylinders

    Finding missing Lengths

  • Manipulating Fractions

    Multiplying Frac & Dec

    Area

    Expressions

    Volumes of Prisms

    Multiplying Frac & Dec

    Mixed number – consists of a whole part and fractional part

    Integer – whole number

    Area

    Area – space inside a shape

    Quadrilateral – four-sided shape

    Sector – part of a circle

    Expressions

    Expand – multiply

    Factorise – to pull out a common factor from an expression

    Volumes of Prisms

    Volume – space occupied by a 3D object

    Prism – 3D object with only straight lines and a constant cross-section

  • You can search for extra questions and hint videos on the following website: www.sparxmaths.com. In the ‘independent learning’ section of the website, you can search by keywords or use the clip numbers from the end of unit assessments in students’ books.

  • For extra support on the area of compound shapes follow this link:

    Area of compound shapes

    For extra support on forming expressions follow this link:

    Forming algebraic notation

    For extra support on volumes of prisms follow this link:

    Volume of a prism

Half Term 2

Linear Equations, Quadratics, Angle Facts, Charts 

  • Linear Equations

    Solve equations

    Solve equations with unknowns on both sides

    Form and solve equations

    Quadratics

    Factorising quadratics

    Quadratic formula

    Rearranging to solve

    Angle Facts

    Angles on parallel lines

    Angles in quadrilaterals and triangles

    Forming equations

    Charts

    Pie charts

    Frequency polygons

    Time series graph

  • Linear Equations

    Solve – to find the value of x

    Inverse – operations have the opposite effect – eg + and -

    Rearrange – to manipulate algebraically

    Quadratics

    Quadratic – the highest power is a square

    Factorise – writing as a product of factors

    Angle Facts

    Protractor – measuring tool to measure angles (in degrees)

    Parallel lines – two lines that will not meet

    Transversal – a line that cuts a pair of parallel lines

    Charts

    Pie chart – displays data by splitting a circle into proportional sectors

    Polygon – shape consisting of straight lines

    Frequency – how often something occurs

  • You can search for extra questions and hint videos on the following website: www.sparxmaths.com. In the ‘independent learning’ section of the website, you can search by keywords or use the clip numbers from the end of unit assessments in students’ books.

  • For extra support on solving linear equations follow this link:

    Solving equations

    For extra support on factorising harder quadratics follow this link:

    Factorising quadratics

    For extra support on angles on parallel lines follow this link:

    Parallel lines angles

Half Term 3

Quadratic Sequences, Standard Form, Direct Proportion, Simultaneous Equations, Polygons 

  • Quadratic Sequences

    Linear sequences recap

    Generate quadratic sequences

    Find nth term of quadratic sequences

    Standard Form

    Add and subtract

    Multiply and divide

    Convert from and into standard form

    Direct Proportion

    Graphs

    Constant of proportionality

    Capture-recapture method

    Simultaneous Equations

    Elimination

    Forming and solving

    Solving in a geometrical context

    Polygons

    Interior angles

    Exterior angles

    Angle problems with many polygons

  • Quadratic Sequences

    Quadratic – the terms have a common second difference

    Linear sequence – a sequence where the terms have a common difference

    Standard Form

    Standard form – a number between one and ten multiplied by a power of 10

    Direct Proportion

    Proportional – two quantities have the same relative size

    Simultaneous Equations

    Elimination – a method to get rid of one variable

    Solve – find the value of x and y

    Polygons

    Interior angle – angle inside the shape

    Exterior angle – The angle between any side of a shape, and a line extended from the next side.

  • You can search for extra questions and hint videos on the following website: www.sparxmaths.com. In the ‘independent learning’ section of the website, you can search by keywords or use the clip numbers from the end of unit assessments in students’ books.

  • For extra support on quadratic sequences follow this link:

    Quadratic sequences version

    For extra support on simultaneous equations follow this link:

    Simultaneous equations elimination method

    For extra support on angles in polygons follow this link:

    Angles in polygons

Half Term 4

Cumulative Frequency, Surds and Fractional Indices 

  • Cumulative Frequency

    Draw a cumulative frequency diagram

    Interpret a cumulative frequency diagram

    Box plots

    Surds and Fractional Indices

    Expanding brackets with surds

    Rationalising the denominator

    Convert between root and index form

  • Cumulative Frequency

    Cumulative frequency - The total of all frequencies so far in a frequency distribution.

    Box plot - A special type of diagram showing Quartiles 1, 2 and 3 (where the data can be split into quarters) in a box, with lines extending to the lowest and highest values

    Surds and Fractional Indices

    Surd – a number that can’t be simplified to remove the square root

    Rationalise – remove the surds

    Expand - multiply

  • You can search for extra questions and hint videos on the following website: www.sparxmaths.com. In the ‘independent learning’ section of the website, you can search by keywords or use the clip numbers from the end of unit assessments in students’ books.

  • For extra support on interpreting cumulative frequency diagrams follow this link:

    Reading cumulative frequency graphs

    For extra support on box plots follow this link:

    Drawing and reading box plots

    For extra support on rationalising the denominator follow this link:

    Rationalising denominators

Half Term 5

Trigonometry, Perimeter, Compound Measures, Enlargement & Similarity 

  • Trigonometry

    Missing sides

    Missing angles

    Exact trig values

    Perimeter

    Circumference of a circle

    Arc lengths

    Reverse problems to find radius/angle

    Compound Measures

    Speed, distance, time

    Mass, density, volume

    Pressure, area, force

    Enlargement & Similarity

    Describe enlargements

    Negative and fractional enlargements

    Perimeter, area and volume of similar shapes

  • Trigonometry

    Hypotenuse – the longest side of a right-angle triangle, opposite the right-angle

    Theta, θ – Greek letter often used to denote an unknown angle

    Sine, Cos, Tan – the trig ratios

    Perimeter

    Arc – part of the circumference

    Radius – distance from the centre of a circle to the circumference

    Circumference – the perimeter of a circle

    Compound Measures

    Speed – rate at which distance changes

    Density – mass per unit volume

    Pressure – force per unit area

    Enlargement & Similarity

    Enlargement – a transformation which changes the size and position of a shape

    Similar – two shapes are similar if one is an enlargement of the other

    Scale factor – how much an object increases its size

  • You can search for extra questions and hint videos on the following website: www.sparxmaths.com. In the ‘independent learning’ section of the website, you can search by keywords or use the clip numbers from the end of unit assessments in students’ books.

  • For extra support on trigonometry follow this link:

    Trigonometry missing angles

    For extra support on arc lengths follow this link:

    Arc length

    For extra support on similarity follow this link:

    Similar shapes

Half Term 6

Combined Events, Conditional Probability, Rational Numbers, Quadratic Graphs 

  • Combined Events

    Two-way tables

    Sample space diagrams

    Probability trees

    Conditional Probability

    Tree diagrams

    Venn diagrams

    Algebraic problems

    Rational Numbers

    Converting recurring decimals to fractions

    Calculations with recurring decimals

    Quadratic Graphs

    Drawing and sketching

    Turning points & symmetry

    Solving quadratics

  • Combined Events and Conditional Probability

    Outcomes – a possible result of an experiment

    Probability – the chance that something will happen

    Sample space – all possible outcomes of an experiment

    Rational Numbers

    Rational – can be written as a fraction

    Recurring – a non-terminating decimal with a repeating pattern

    Terminating – has a finite number of decimal places

    Quadratic Graphs

    Sketch – a graph which shows the general shape and points of significance

    Vertex – the turning point

    Turning point – the highest or lowest point of a quadratic

  • You can search for extra questions and hint videos on the following website: www.sparxmaths.com. In the ‘independent learning’ section of the website, you can search by keywords or use the clip numbers from the end of unit assessments in students’ books.

  • For extra support on conditional probability follow this link:

    Conditional probability

    For extra support on recurring decimals follow this link:

    Recurring decimals to fractions

    For extra support on sketching quadratic graphs follow this link:

    Sketching quadratics