Maths
Year 8 C
Half Term 1
Manipulating Fractions, Expressions, Linear Equations, Formulae and Functions
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Manipulating Fractions
Fractions of quantities
Ordering fractions
Adding/Subtracting fractions
Expressions
Collecting like terms
Expanding a single bracket
Factorise expressions
Linear Equations
Solving 2 step equations
Solving equations with unknowns on both sides
Apply to geometric problems
Formulae and Functions
Function machines
Substitution
Rearranging formulae
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Manipulating Fractions
Denominator – the bottom number of a fraction
Numerator – the top number of a fraction
Common Denominator – same denominator on two fractions
Expressions
Collect Like Terms – adding terms with the same letter
Expand – multiply
Factorise – to pull out a common factor from an expression
Linear Equations
Solve – find the value of x
Inverse operation – opposite operations eg. add and subtract
Formulae and Functions
Formula – has inputs and outputs
Functions - ×,÷,+,−,√
Make the subject – get one letter on its own on one side of the equation
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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.
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For extra support on adding and subtracting fractions follow this link:
Fractions addition and subtraction
For extra support on expanding brackets follow this link:
For extra support on solving equations follow this link:
Half Term 2
Linear Sequences, Percentages, Linear Graphs
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Linear Sequences
Arithmetic and Geometric
Position to term rules
Pictorial Sequences
Percentages
Percentages of Amounts
Percentage Increase and Decrease
Percentage change and reverse percentages
Linear Graphs
Using tables of values to plot linear graphs
Calculate the gradient of a line
Using the equation of a line to construct a linear graph and to write the equation given the graph.
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Linear Sequences
Arithmetic sequence– A sequence which progresses by adding or subtracting a constant value.
Geometric sequence – A sequence which progresses by multiplying or dividing by a constant value.
Term – an element in the sequence
Percentages
Profit/Loss – The difference between the money spent and the money earned from a sale
Depreciation – A loss in value.
Percentage – Parts per 100
Linear Graphs
Y Intercept – The intersection of the graph and the y-axis.
Gradient – the rate of change of x as y increases (a measure of steepness).
Parallel – having the same gradient
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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.
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For extra support on finding the nth term of an arithmetic sequence follows this link:
The nth term for linear sequences
For extra support on percentage increase and decrease follow this link:
Increasing or decreasing by a percentage
For extra support on the equation of a line follow this link:
Half Term 3
Linear Graphs, Area, Bounds, Bearings
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Linear Graphs
Plot linear graphs
Calculate the gradient of a line
Find the equation of a line
Area
Find the area of basic shapes
Calculate the area of a circle
Convert metric units of area
Bounds
Find upper and lower bounds
Understand error intervals
Calculations with bounds
Bearings
Interpret map scales
Draw and measure bearings
Use angle facts to calculate bearings
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Linear Graphs
Gradient – How steep a line is
Linear graph – The graphical representation of a straight line. It illustrates a linear equation E.g, y=4x+2
y-intercept – The point where a line or curve crosses the y-axis of a graph
Area
Metric – A system of measuring lengths, masses, and capacity. E.g. millimetres, kilograms, cubic metres
π(pi) - A special number representing the ratio of a circle’s circumference to its diameter
Sector – A part of a circle made between two radiuses and the connecting arc of a circle
Bounds
Upper Bound - A value that is greater than or equal to every number in a set
Lower Bound – A value that is less than or equal to every number in a set
Truncate – To cut off
Bearings
Bearing – The angle in degrees measured clockwise from North
Scale – The ratio of the length in a drawing or model to the length in the real thing
Clockwise - Moving in the direction of the hands on a clock
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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.
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For extra support on plotting linear graphs follow this link:
Drawing graphs using xy tables
For extra support on finding the area of a circle follow this link:
For extra support on bearings follow this link:
Half Term 4
Bearings, Area
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Bearings
Scale drawings
Measure and draw bearings
Solve functional problems involving bearings
Area
Area of basic shapes
Area of circles and parts of circles
Compound area problems
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Bearings
Scale – The ratio of length in a drawing to the length in real life
Bearing – The angle in degrees measured clockwise from North
Clockwise – The direction that the hands on a clock travel.
Area
Perpendicular Height – The length which is at a right angle to the base of a shape.
Area – The amount of space within the perimeter of a 2D space
Compound Shape – A shape made up of two or more geometric shapes.
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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.
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For extra support on Bearings follow this link:
For extra support on the area of circles follow this link:
For extra support on the area of compound shapes follow this link:
Half Term 5
Probability – Single Events Ratio Plans and Properties
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Probability – Single Events
Using the probability scale
Basic probability and mutually exclusive events
Relative frequency and expectation
Ratio
Simplifying and equivalent ratio
Dividing into a ratio
Solving problems with ratio
Plans and Properties
Names of 3D shapes and their properties
Plans and front and side elevation
Representing 3D shapes on isometric paper
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Probability – Single Events
Mutually Exclusive – Both events cannot occur at the same time
Event – A set of outcomes of an experiment
Outcome – A possible result of an experiment or trial
Ratio
Equivalent Ratio – Ratios which can be simplified to the same ratio
Simplify – To reduce both parts of the ratio to the smallest integer value possible
Factor – Numbers that divide a number leaving no remainder
Plans and Properties
Vertex – The point where two or more edges meet
Plan – A 2D representation of a 3D object as seen from a bird’s eye view
Face – A flat or curved surface on a 3D object
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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.
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For extra support on basic probability follow this link:
For extra support on sharing into a ratio follow this link:
For extra support on solving equations follow this link:
Half Term 6
Translation and Vectors, Nets and Surface Area
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Translation and Vectors
Performing and Describing translations using column vectors
Manipulating vectors
Combining Transformations
Nets and Surface Area
Nets of cuboids
The surface area of cuboids
Nets and surface area of 3D shapes
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Translation and Vectors
Translate – To move each vertex of a shape by the same distance in space
Column Vector – A representation of direction with the horizontal component on top and vertical component on the bottom
Congruent – All angles and side lengths being the same
Nets and Surface Area
Net – A 2D shape which can be folded to form a 3D shape
Surface Area – The sum of the area of all faces on a 3D object
Cuboid – A rectangular prism (two congruent rectangles where each corresponding edge is joined with another rectangle)
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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.
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For extra support on Translations with Vectors follow this link:
For extra support on nets of 3D shapes follow this link:
For extra support on surface area of cuboids follow this link: