Maths

Year 9 C

Half Term 1

Directed Numbers, Multiples and Factors, Manipulating Fractions, Expressions, Quadratics 

  • Directed Numbers

    Calculations with negative numbers

    Substitution with negative numbers

    Order of operations with negative numbers

    Multiples and Factors

    Multiples, Factors, Primes

    HCF and LCM

    Using primes to identify square/cube numbers

    Manipulating Fractions

    Fractions of quantities

    Ordering fractions

    Adding/Subtracting fractions

    Expressions

    Expanding and simplifying

    Factorise expressions

    Form expressions

    Quadratics

    Expand double brackets

    Factorise quadratics

    Solve quadratics

  • Directed Numbers

    Negative – a number less than zero

    Multiples and Factors

    Multiple – eg: multiples of 3 are 3, 6, 9, 12,…

    Factor – eg: factors of 10 are 1, 2, 5, 10

    Prime – a number which has exactly 2 factors

    Manipulating Fractions

    Denominator – the bottom number of a fraction

    Numerator – the top number of a fraction

    Expressions

    Expand – multiply

    Factorise – to pull out a common factor from an expression

    Quadratics

    Quadratic – an expression where the highest power is 2

    Factorise – put into double brackets

    Solve – to find the value of x

  • 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 factors follow this link:

    Factors

    For extra support on factorising expressions follow this link:

    Factorisation

    For extra support on factorising quadratic expressions follow this link:

    Factorising quadratics

Half Term 2

Perimeter, Area, Indices 

  • Perimeter

    Circumference of a circle

    Arc lengths

    Reverse problems to find radius/angle

    Area

    Quadrilaterals and triangles

    Compound shapes

    Circles and sectors

    Indices

    Rules of indices applied to numbers

    Rules of indices applied algebraically

    Fractional and negative indices

  • Perimeter

    Arc – part of the circumference

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

    Circumference – the perimeter of a circle

    Area

    Quadrilateral – four-sided shape

    Compound shape – two or more simpler shapes joined together

    Sector – a fraction of a circle

    Indices

    Base – the number that gets multiplied when using a power

    Indices – powers

    Exponent - power

  • 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 arc lengths follow this link:

    Arc length

    For extra support on the area of sectors follow this link:

    Area of a sector video

    For extra support on indices rules follow this link:

    Laws of indices algebra

Half Term 3

Linear Equations, Angle Facts, Charts, Quadratic Sequences 

  • Linear Equations

    Solve equations

    Solve equations with unknowns on both sides

    Form and solve equations

    Angle Facts

    Angles on parallel lines

    Angles in quadrilaterals and triangles

    Forming equations

    Charts

    Pie charts

    Frequency polygons

    Time series graph

    Quadratic Sequences

    Linear sequences recap

    Recognise quadratic sequences

    Generate quadratic sequences

  • Linear Equations

    Solve – to find the value of x

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

    Rearrange – to manipulate algebraically

    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

    Quadratic Sequences

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

    Geometric sequence – the terms have a common ratio

    Quadratic – the terms have a common second difference

  • 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 equations follow this link:

    Solving equations

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

    Parallel lines angles

    For extra support on linear sequences follow this link:

    The nth term for linear sequences

Half Term 4

Volumes of Prisms, Direct Proportion, Pythagoras’ Theorem 

  • Volumes of Prisms

    Volumes of prisms

    Volumes of cylinders

    Reverse problems to find missing lengths

    Direct Proportion

    Unitary method

    Best buy and recipe problems

    Currency conversions

    Pythagoras’ Theorem

    Find the hypotenuse

    Find the shorter side

    Multi-step problems

  • Volumes of Prisms

    Prism – a 3D shape with a constant cross-section

    Volume – space occupied by a 3D shape

    Formula – has inputs and outputs

    Direct Proportion

    Proportional – two quantities have the same relative size

    Pythagoras’ Theorem

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

    Pythagoras’s Theorem:

    a2 + b2 = c2

  • 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 volumes of prisms follow this link:

    Volume of a prism

    For extra support on the unitary method follow this link:

    Unitary method video

    For extra support on Pythagoras’ Theorem follow this link:

    Pythagoras video

Half Term 5

Polygons, Quadratic Graphs, Compound Measures 

  • Polygons

    Interior angles of polygons

    Exterior angles of polygons

    Angle problems with many polygons

    Quadratic Graphs

    Drawing quadratic graphs

    Identify lines of symmetry and turning points

    Solutions to quadratic equations

    Compound Measures

    Speed, distance, time

    Mass, density, volume

    Pressure, area, force

  • Polygons

    Polygon – a shape consisting of straight lines

    Interior angle – angle inside the shape

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

    Quadratic Graphs

    Quadratic equation – equation in which the highest power is 2

    Vertex – the turning point

    Turning point – the highest or lowest point of a quadratic graph

    Compound Measures

    Speed – rate at which distance changes

    Density – mass per unit volume

    Pressure – force per unit area

  • 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 angles in polygons follow this link:

    Angles in polygons

    For extra support on drawing quadratic graphs follow this link:

    Drawing quadratics

    For extra support on speed, distance, and time follow this link:

    Speed distance time

Half Term 6

Combined Events, Enlargement and Similarity, Constructions and Loci 

  • Combined Events

    Two-way tables

    Sample space diagrams

    Probability trees

    Enlargement and Similarity

    Describe enlargements

    Negative and fractional enlargements

    Perimeter, area and volume of similar shapes

    Constructions and Loci

    Construct triangles

    Construct line and angle bisectors

    Constructing Loci

  • Combined Events

    Outcomes – a possible result of an experiment

    Probability – the chance that something will happen

    Sample space – all possible outcomes of an experiment

    Enlargement and 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 – the factor by which an object increases its size

    Constructions and Loci

    Construction – an accurate drawing using compasses

    Bisector – to cut exactly in half

    Perpendicular – right angle (90 degrees)

  • 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 probability trees follow this link:

    Tree diagrams

    For extra support on enlargement follow this link:

    Describing enlargements

    For extra support on constructing perpendicular bisectors follow this link:

    Perpendicular bisector