Maths
Year 8 E
Half Term 1
Indices, FDP, Formulae and Functions, Linear Sequences
-
Indices
Rules of indices
Fractional and negative powers
Solving equations with algebraic powers
FDP
Convert between fractions, decimals and percentages
Ordering fractions, decimals and percentages
Formulae and Functions
Function machines
Substitution
Rearranging formulae
Linear Sequences
Types of sequences
Finding the nth term
Generating a sequence
-
Indices
Indices – powers
Base – the number that gets multiplied when using powers
Exponent – power
FDP
Ascending – Arranged from smallest to largest
Descending – Arranged from largest to smallest
Integer – whole number
Formulae and Functions
Formula – has inputs and outputs
Functions - ×,÷,+,−,√
Make the subject – get one letter on its own on one side of the equation
Linear Sequences
Term – a number or pattern in the sequence
Linear – increasing by the same amount each time
nth Term – position to term rule (the rule that lets you find any term quickly)
-
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 rules of indices follow this link:
For extra support on rearranging formulae follow this link:
For extra support on finding the nth term of a linear sequence follow this link:
Half Term 2
Multiplying Frac & Dec, Percentages, Correlation
-
Multiplying Frac & Dec
Multiplying fractions
Multiplying decimals
Dividing fractions and decimals
Percentages
Finding percentages of amounts
Percentage increase and decrease
Percentage change
Correlation
Plot points on a scatter graph and draw lines of best fit
Understand positive and negative correlation
Interpret relationships and predict values from a scatter graph
-
Multiplying Frac & Dec
Mixed number – consists of a whole part and fractional part
Integer – whole number
Simplified – a fraction where the numerator & denominator are as small as possible
Percentages
Percent – Parts per 100
Depreciation – A loss in value over time
Per annum – For each year
Correlation
Correlation – when two sets of data are strongly linked together we say they have a High Correlation
Line of best fit – A line on a graph showing the general direction that a group of points seem to follow
Outlier – A value that “lies outside” most of the other values in a set of data
-
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 converting fractions to decimals follow this link:
For extra support on percentage increase and decrease follow this link:
Increasing or decreasing by a percentage
For extra support on plotting scatter graphs follow this link:
Half Term 3
Linear Graphs, Area, Bounds, Bearings
-
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
-
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
-
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 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
Frequency Tables, Plans and Properties, Nets and Surface Area
-
Frequency Tables
Construct frequency tables
Find the range, mean, mode and median from a frequency table
Calculate an estimate of the mean from a grouped frequency table
Plans and Properties
Identify the number of faces, edges and vertices of a 3D shape
Draw plan, side and front elevations of 3D shapes
Use isometric paper to draw 3D shapes
Nets and Surface Area
Draw nets of 3D shapes
Calculate the surface area of different prisms
Calculate the surface area of cylinders
-
Frequency Tables
Frequency – How often something happens
Midpoint – Exactly halfway between 2 values
Estimate – To find a value that is close enough to the right answer
Plans and Properties
Face – Any of the individual flat surfaces of a solid object
Edge – A line segments where two faces meet
Vertex – A point where two or more line segments meet
Nets and Surfaces Area
Net – A pattern that you can cut and fold to make a model of a solid shape
Surface Area – The total area of the surface of a three-dimensional object
Cross-section – The shape made when a three-dimensional shape is cut through parallel to the base
-
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 finding the mean from a frequency table follow this link:
For extra support on the drawing plan, front and side elevations follow this link:
For extra support on finding the surface area of a cylinder follow this link:
Half Term 5
Inequalities (Linear), Quadratics, Single Events, Ratio
-
Inequalities (Linear)
Understand inequality notation
Use number lines to represent inequalities
Solve inequalities
Quadratics
Expand double brackets
Factorise quadratic expressions
Solve quadratic equations
Single Events
Calculate the probability of outcomes of events
Calculate the probability of an event not happening
Calculate experimental probabilities
Ratio
Simplify ratios
Share ratios in different contexts
Problem-solving with ratio
-
Inequalities (Linear)
Inequality – An inequality compares two values. We use the following symbols <, ≤, >, ≥
Integer – Whole number
Satisfy – A value, or values, that solve an equation
Quadratics
Factorise – Finding what to multiply together to get an algebraic expression. Putting back into brackets
Expand – Multiply to remove brackets
Solve – The find a value, or values, that makes an equation true
Single Events
Probability – The chance that something will happen
Event – One (or more) outcomes of an experiment
Relative Frequency – How often something happens divided by all outcomes
Ratio
Ratio – A ratio shows the relative size of two or more values
Equivalent – Having the same value
Simplify – To make it as simple as possible
-
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 in solving inequalities follow this link:
Solving inequalities two signs
For extra support on relative frequency follow this link:
For extra support on sharing using a ratio follow this link:
Half Term 6
Surds, Translations and Vectors, Pythagoras’ Theorem
-
Surds
Simplify surds
Multiply and divide surds
Add and subtract surds
Translations and Vectors
Manipulate vectors
Translate shapes using vectors
Use translations, reflections and rotations to complete multi-step transformations
Pythagoras’ Theorem
Apply Pythagoras’ Theorem to find missing lengths in a right-angle triangle
Find the length between two co-ordinates
Apply Pythagoras’ Theorem to functional problems
-
Surds
Surd – A number that cannot be simplified to remove a square root
Simplify – Make as simple as possible
Square Number – The number we get after multiplying an integer by itself
Translations and Vectors
Vector – a quantity having direction as well as magnitude (size)
Translate – To move a shape without rotating or flipping it
Transformation – Changing a shape using rotations, reflections, enlargements or translations
Pythagoras’ Theorem
Pythagoras’ Theorem – In a right-angled triangle a2+b2=c2 where a and b are the shorter sides and c is the longest side (the hypotenuse)
Hypotenuse – The side opposite the right angle in a right-angled triangle. The longest side of the right-angled triangle
Line segment – A straight line with end points
-
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 surds follow this link:
For extra support on translations follow this link:
For extra support on Pythagoras’ Theorem follow this link: