Scroll down to explore a breakdown of the topics covered by all Year 7 students.
The depth of your learning will depend on your set, as your teacher will tailor the approach accordingly.
If you're eager to enhance your understanding, visit the revision sections to study independently at home
usually it takes a week to complete a topic section . however, some topics will take longer as they have additional content .
exam dates
Recognise and extend number sequences formed by counting from any number in steps of constant size, extending beyond zero when counting back.
Generate terms of a simple sequence, given a rule
Generate sequences from practical contexts and describe the general term in simple cases.
Read and write whole numbers in figures and words.
Use decimal notation for tenths and hundredths; know what each digit represents in numbers with up to two decimal places.
Understand and use decimal notation and place value; multiply and divide integers and decimals by 10, 100, 1000, and explain the effect.
Add, subtract, multiply and divide integers.
Order positive and negative integers in ascending or descending order
Able to use symbols =, <, >, <, >
Be able to read scales and put integers on the right place on a scale or a number line.
Calculate a temperature rise and fall across 0 °C.
Be able to understand and solve word problems involving money and time as well as four operations
Read and plot coordinates in the first quadrant
Solve a problem by representing, extracting and interpreting in tables, graphs, charts and diagrams, for example:
Line graphs, pictogram
Frequency tables and bar charts.
understand where we use algebra in context
Be able to use letter to represent unknown numbers or variables
Be able to understand 3a means 3 x a and division is written as fraction
Be able to set up an algebraic expression Eg: I think of a number, I multiply my number by 3 then subtract 4 should be written as 3x - 4
Understand that algebraic operations follow the same conventions and order as arithmetic operations.
Simplify linear algebraic expressions by collecting like terms
Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket.
ASSESSMENT 1
( students will now be set according to ability.
topics in bold italic will only be covered by top sets)
To be able to recall the 2,3,4,5,and 10 times tables
To be able to multiply a two digit number by a one digit number
Use written methods of addition and subtraction
Know how to use written methods of short multiplication
Know how to use written methods of short division
Understand how to interpret money on a calculator display
Use a written method to multiply a three-digit number by a two-digit number
Divide a three-digit by a two-digit whole number
Use operations effectively (BIDMAS)
Be able to use a calculator efficiently and appropriately to perform complex calculations
Understand what a negative number is in context (e.g. temperature)
Be able to read and use a negative number line
Be able to order negative and positive numbers
Be able to use symbols =, <, >, <, >
Be able to order positive and negative numbers
Know how to calculate with negative numbers in context, with and without a calculator
Add and subtract negative numbers
Multiply and divide negative numbers
Solve complex questions involving negative numbers
Rounding and Approximation
Understand the place value of a digit including tenths/hundredths/thousandths
Round the numbers to the nearest ten, hundred and thousand
Round the decimals to the nearest integer
Know how to round to 1, 2 or 3 decimal places
Round to 1, 2 or 3 decimal places
Round to one significant figure
Estimate the calculations by rounding to one significant figure (eg: estimate 230 x 15)
Be able to round decimals starting with 0 to two or more significant figures (eg: round 0.0002568 to 1 sf )
Be able to estimate calculations by rounding to one significant figure (Eg: Estimate 2.35 x 0.125)
HALF TERM
Fractions
know the term fraction means less than one whole or part of
name the fraction represented by the shaded section of a shape
sequence fraction in order of size
give pairs of fractions that add up to one
understand the terms numerator and denominator
find equivalent fractions
simplify fractions
Add, subtract, multiply and divide fractions
calculate a fraction of an amount
know how to compare and order fractions with different denominators
place fractions on a number line
convert fractions to decimals by converting to tenths or hundredths
change mixed numbers into improper fractions or vice versa
be able to multiply an integer by a fraction
be able to divide an integer by a fraction
be able to add, subtract, multiply and divide fractions and mixed numbers
Percentages
Understand the symbol % and the vocabulary associated with the symbol
Understand that % means part of a hundred
To know the percentage equivalent of 1/10, 1/4, 1/2 and ¾
Be able to find 50%, 25%, 75%, 10%, 5% & 1% without a calculator
Be able to find any percentage of an amount without a calculator
To be able to find any percentage of an amount using a calculator
Be able to convert between fractions, decimals & percentages
Be able to increase or decrease an amount by a percentage
Be able to find one number as a percentage of another
Decimals
multiply & divide whole numbers by 10, 100 or 1000
use decimal notation to record metric units
Understand the place value of a digit
set out vertical sums with the decimal point aligned
Add and subtract decimals
Know that decimal equivalent for 1/2, 1/4 and 3/4
Be able to read a decimal scale marked in tenths/hundredths/thousandths
Understand place value of decimals to one/two/three decimal place; read a decimal scale marked in tenths/hundredths/thousandths
Solve money problems
Be able to multiply & divide decimals by 10, 100 or 1000
Use all four operations with decimals to 2 decimal places
Know how to round to 1, 2 or 3 decimal places
Be able to round to 1, 2 or 3 decimal places
Solve 2 steps word problems
Be able to round to one significant figure
Be able to round to two or more significant figures
Be able to estimate calculations by rounding to one significant figure
Solve more than 2 steps word problems
Ratio and Proportion
Know how to use ratio notation to describe proportions
Be able to write ratios in their simplest forms
Be able to divide a quantity into the ratio of two parts
Be able to divide a quantity in a ratio of three parts
Know how to compare two ratios
Work on ingredients (Eg. ingredients for 10 people given, find ingredients for 15 people)
Understand how to interpret and use ratio in a number of contexts
Solve complex word problem involving ratio and proportion
Algebra simplifying expressions & expand brackets
Know that a letter can represent a number
Be able to simplify an expression by collecting like terms
Be able to multiply 2 or more terms together
Be able to expand a single bracket
Set up algebraic expression
Recognise the difference between expression, equation and formulae
Solving equations
Know how to find the missing number in a short equations involving numbers
Understand that letters can represent numbers
Be able to solve simple linear equations using one inverse operation
Be able to solve simple linear equations using two inverse operations
Understand how to form and solve an equation presented as a balance puzzle
Be able to convert a balance puzzle to an algebraic equation and solve it
Be able to solve a simple linear equation, written algebraically, using balancing
Be able to solve linear equations with unknowns on both sides
Be able form linear equations
Be able to solve linear equations with brackets
Be able to solve equations with decimal or negative solutions
Be able to solve linear equations with unknowns on both sides and brackets
Substitution
Know how to substitute positive numbers into simple expressions and formulae
Be able to substitute negative numbers into expressions
Be able to substitute numbers into expressions with powers and complex fromulae
Probability
Be able to describe how likely an event is to happen
To understand and use the vocabulary relating to probability
To recognise the like hood of outcomes or events
To be able to sort with Venn diagrams
Understand and use the probability scale from 0 to 1
Be able to find probabilities based on equally likely outcomes
Be able to find probabilities based on experiments
Understand and use Venn diagrams to find probability
Be able to systematically list all possible outcomes of compound events
Know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this to solve problems
Understand relative frequency as an estimate of probability
Review exercises focusing on problem solving
HALF TERM
Angles
To understand half, quarter turn , anticlockwise and clockwise
Understand what angle means
Understand how many angles there are in a range of shapes (e.g. 3 in a triangle)
Be able to recognise types of angles
Be able to estimate angles
Be able to measure and draw angles accurately
Be able to find missing angles in triangles, incl. right-angled and isosceles
Know the angle sum on a line
Know the angle sum at a point
Be able to identify vertically opposite angles
Understand and identify parallel and perpendicular lines
Be able to find missing angles in quadrilaterals
Be able to identify corresponding, alternate, interior and opposite angles
Understand a proof that the sum of the angles in a triangle is 180
Solve complex angle questions
2D Shapes, Area and Perimeter
Understand what area is
Understand what perimeter is
Be able to name 2D shapes
Be able to find areas by counting squares and part squares
Be able to find perimeters of simple shapes
Be able to estimate the perimeter of a simple shape
Be able to find the area of triangle by counting squares and half squares
Understand and use the formula for the area of a rectangle
Be able to find the areas and perimeters of compound shapes made from rectangles
Be able to find the area of a triangle
Know how to find the area of a parallelogram
Know how to find the area of a compound shape
Know how to find the area of a trapezium
Know how to find the area and circumference of a circle (only teach if you have enough time and the class understand the previous objectives. This will not be in the test.)
Averages
Be able use the mode to describe sets of data
Be able to use the range to describe sets of data
Know how to find the mean of discrete data
Know how to find the median, mode and range of a set of data
Know how to compare distributions using the range and either mean, median or mode
Be able to calculate the mean from a frequency table
Be able to find missing numbers if the mean, mode and median given (Eg: There are 4 cards with the number 2, 5, 1, ? Find the missing card number of the 4th card if the mean is 4.5 …etc)
Be able to find the mean of a set of grouped data
Know how to determine the modal class of grouped data
Collecting and processing data
Be able to recognise the difference between discrete and continuous data
Be able to interpret and record data using bar charts
Be able to use and interpret a tally chart
Understand the use of continuous data on a bar chart
Be able to interpret and use pictograms
Be able to collect discrete data and record them using a frequency table
Be able to represent data in bar charts and pictograms
Know how to group data in equal class intervals
Understand how to plan a survey and collect data
Be able to interpret graphs and diagrams, including pie charts
Know how to construct a pie chart by calculating angles
Know how to design and use a two way table
Be able to select the most appropriate method for recording different types of data
Be able to examine critically the results of a statistical enquiry
Be able to justify the choice of statistical representation
Transformation
Be able to draw a line of symmetry in a simple shape
Be able to classify shapes that do or do not have a line of symmetry
Be able to recognise all the lines of reflective symmetry in 2D shapes
Know how to recognise rotational symmetry in shapes
Understand how to identify all lines of symmetry in 2D shapes
Be able to reflect shapes in diagonal mirror lines
Be able to rotate shapes through 90 or 180 degrees about a vertex
Be able to tessellate shapes
Be able to translate 2D shapes using a column vector
Classify quadrilaterals by geometric properties
Be able to enlarge 2D shapes, given a centre of enlargement and scale factor
Be able to identify the equations of a mirror line
Be able to describe and draw a rotation about any point on a coordinate grid
Be able to describe and draw a reflection about x=a or y=b on a coordinate grid
Know that reflections, rotations and translations produce congruent images
Be able to enlarge 2D shapes, given fractional and negative scale factors
3D Shapes, Volume and Surface area
Be able to use everyday language to describe properties of 2D and 3D shapes
Be able to use mathematical terms to name simple 2D and 3D shapes e.g. cuboid, pyramid and prism
To be able to find the volume of a cube or a cuboid using small cubes as a measure
Draw and identify nets of shapes
To understand the units of measurement for volume
Know how to draw and visualise plans and elevations of 3d shapes
Be able to find the volume of a cuboid and other prisms
Be able to find the surface area of a cuboid
Be able to find the surface area and volume of a cylinder
Pattern and Sequences
To be able to predict the subsequent numbers in a sequence
Know how to find and use the term-to-term rule for a simple linear sequence
To able to create a simple number sequence following a given rule
To be able to count on and back in steps of 0.1
To know the terms sequence, consecutive and term
Be able to generate and describe linear sequences involving fractions or negative numbers
Know how to find the nth term of a linear sequence
Know how to generate terms of a sequence given the nth term both linear and quadratic
Be able to use Sequences in context
Functions and Graphs
Be able to express simple functions in words
Be able to plot and read coordinates in four quadrant
Be able to identify parallel lines on the x and y axes
Be able to express simple functions in words and symbols and express them in mappings
Be able to substitute values into simple linear formulae
Be able to plot graphs of simple linear functions
Recognise the general form of linear equation as y=mx + c
Know that m is a gradient and c is y intercept
Understand the meaning of gradient
Be able to find the equation from a linear graph
Be able recognise linear and quadratic graphs
Be able plot and interpret graphs of real-life events
Revision and ASSESSMENT 3
Multiples, factors, HCF, LCM, powers and roots
Know how to use tests for divisibility
Understand what multiples and factors of a number are
Identify and understand the definition of prime numbers
Know the square numbers up to 12 squared
Know the meaning of a square root
Understand the meaning of cubes and cube roots
Be able to find the HCF of a pair of numbers
Be able to find the LCM of a pair of numbers
Be able to write a number as a product of prime factors
Be able to find the HCF and LCM by using prime factorisation
Know how to use laws of indices for multiplication and division
Know how to use laws of indices for brackets e.g. (am)n = amn
Using Calculator
Be able to enter numbers correctly on a calculator
To be able to carry out the four operations on a calculator
Be able to interpret the calculator display in the correct context
Understand how to interpret money on a calculator display
Know how to use a calculator effectively, including with money, powers, roots and negative numbers
Be able to use a calculator efficiently and appropriately to perform complex calculations
Problem Solving
To be able to solve problems by applying mathematics to a variety of routine and non-routine problems.
To know how to break down maths problems into a series of simpler steps
To understand how to model situations mathematically
To be able to develop mathematical knowledge by solving multistep problems and evaluating outcomes
Elevation, construction:
Understand and draw front and side elevations and plans of shapes made from simple solids;
Given the front and side elevations and the plan of a solid, draw a sketch of the 3D solid;
Inequalities
Know what each inequality symbol means
Be able to solve linear equations including unknowns on both sides
Know the definition of the word integer
Be able to represent a single inequality on a number line
Be able to represent a combined inequality on a number line
Be able to solve a linear inequality
Be able to solve a combined inequality
Know the effect of dividing/multiplying a negative across an inequality
Congruence & Similarity
to recognise congruent and similar shapes
know how to describe the difference between congruent and similar shapes
be able to show that two triangles are congruent
be able to show that two triangles are similar
know how to work out the scale factor between similar triangles
know how to solve problems involving the area and volume of similar shapes
Circle
● Definition of a circle and name and draw parts of a circle;
● Use formulae for the circumference of a circle and the area enclosed by a circle (using circumference = 2πr = πd and area of a circle = πr2) using a variety of metric measures;
● Use π ≈ 3.142 or use the π button on a calculator;
● Calculate perimeters and areas of composite shapes made from circles and parts of circles POSSIBLE SUCCESS CRITERIA
Understand that answers in terms of π are more accurate.
Calculate the perimeters and/or areas of circles, semicircles and quarter-circles given the radius or diameter and vice versa.
COMMON MISCONCEPTIONS
Diameter and radius are often confused, and recollection of area and circumference of circles involves incorrect radius or diameter.
