gcse maths 9-1 topic checklist foundation number · 3d shapes recognise and know the properties of...
TRANSCRIPT
GCSE Maths 9-1 Topic Checklist Foundation
Number
Learn Test
Factors,
multiples &
primes
Identify prime numbers link link Identify and find factors of a number Identify and list multiples of a number link link Write a number as a product of its prime factors link link
Find HCF and LCM of pairs of numbers link link
Rounding &
estimation
Round numbers to a given number of decimal
places link link
Round numbers to a given number of significant
figures link link
Give answers to a sensible degree of accuracy link link Estimate by rounding to 1 sig. fig. link link
Indices Know and use index laws to simplify expressions Link
Link
link
Link
Link
link
Order of
Operations
Know how to use BIDMAS (BODMAS) when
completing calculations link link
Standard
Form
Convert numbers to and from standard form Link
link
Link
link
Calculate with numbers in standard form
Add, subtract, multiply and divide link link
Fractions &
decimals
Convert between top heavy fractions and mixed
numbers link link
Add and subtract fractions link link
Multiply and divide fractions link link
Calculate a fraction of an amount link link Add and subtract decimals link link Multiply and divide decimals link
link
link
link
Convert between fractions and decimals link link
Upper &
lower
bounds
Use inequalities to write an error interval link link
Know the difference between rounding and
truncating link link
Exact
calculations
Use multiples of π in exact calculations without a
calculator link link
Counting
strategies
Use systematic listing strategies link link
Algebra
Learn Test
Expressions Simplify expressions by collecting like terms link link Simplify algebraic products and quotients link link Multiply a single term over a bracket link link Expand and simplify products of 2 brackets link link
Formulae Write and use formulae from real-world problems link link Substitute positive and negative numbers into
formulae link link
Rearrange formulae to change the subject link link
Factorising Take out common factors link link Factorise quadratic expressions Link Link
Equations Solve linear equations, including those with
brackets and unknowns on both sides of ‘=’ link
link
link
link
link
link
link
link
link
link
Solve quadratic equations by factorising link link Solve two linear simultaneous equations link
link
link
link
Use graphs to find the roots of quadratic
equations and solutions to simultaneous equations link link
Inequalities Solve linear inequalities, representing their
solution on a number line link link
Sequences Generate sequences described in words or by nth
term link link
Find the formula for the nth term of an
arithmetic, quadratic or other sequence link link
Graphs Use a table of values to plot graphs of linear,
quadratic, cubic & reciprocal graphs Link
link
Link
link
Recognise & sketch the graphs of simple linear,
quadratic, cubic and reciprocal graphs. link link
Identify intercepts and use symmetry to find the
turning point of quadratic functions link link
Identify the roots of a quadratic by factorising link link
Find the gradient and intercept of straight line
graphically and using y=mx+c link link
Find the equation of a line through two points link link Identify and find equations of parallel lines link link Interpret the gradient of a graph eg gradient of a
distance-time graph is velocity link link
Functions Use function machines to find inputs and outputs link link
Proof Use algebra to construct an argument or proof link link Recognise the difference between an equation and
an identity link link
Ratio & Proportion
Learn Test
Ratio Find ratios in the form a:b & simplify and
form 1:n link link
Split a quantity in a given ratio link link Solve ratio and proportion problems link link
Proportion Solve problems involving direct & inverse
proportion link link
Percentages Calculate a percentage of a quantity link
link
link
link
Write one quantity as a percentage of
another link link
Increase or decrease an amount by a
percentage link link
Express percentage change as a multiplier
and use it to solve problems including
original value problems
link link
Solve problems involving repeated
percentage change, including compound
interest and depreciation problems
link link
Compound
measures
Know and use speed, distance & time
formulae link link
Know and use other compound measures eg
density and pressure formulae link link
Geometry & Measures
Learn Test
Constructions &
Loci
Construct
- Perpendicular from a point to a line
- Perpendicular bisector of a line
segment
- Bisector of an angle
- Loci of a point or line
Understand the term ‘equidistant’
link link
Angles Know and use the sum of angles round a point
and angles on a straight line link link
Know and use angle facts on parallel lines
- Vertically opposite angles
- Alternate angles
- Corresponding angles
- Allied angles
link link
Know how to find the sum of the interior and
exterior angles of polygons link link
Polygons Know the names and properties, including
symmetry of triangles and quadrilaterals
- Isosceles
- Equilateral
- Right-angled
- Square
- Rectangle
- Parallelogram
- Trapezium
- Kite
- rhombus
link
link
link
link
3D shapes Recognise and know the properties of
- cube
- cuboid
- prism
- cylinder
- pyramid
- cone
- sphere
-
link link
Interpret and construct plans and elevations
of 3D solids, including isometric drawings
link link
Transformations Carry out and describe
- reflections
- rotations
- translations
- enlargements
link link
Congruent
Triangles
Identify congruent triangles link link Prove two triangles are congruent using SSS,
SAS, ASA and RHS
Similar shapes Prove that two triangles are similar link link Calculate unknown lengths on similar shapes
Maps and scale
drawings
Use a scale on a map link link Construct and interpret scale drawings link link Solve problems involving drawing & using
bearings link link
Perimeter, Area
& Volume
Calculate the perimeter of rectilinear shapes link link Know and use the formula for the
circumference and area of a circle link
link
link
link
Calculate the arc length and area of a sector link link Know and use the formula for the area of a
- rectangle
- triangle
- parallelogram
- trapezium
link
link
link
link
link
link
link
link
Calculate the area of a compound shape link link Calculate the volume and surface area of a
- cube/cuboid, prism & cylinder link
link
link
link
link
link
link
link
Use the formulae given to calculate
- surface area and volume of spheres,
cones and pyramids
link
link
link
link
Pythagoras’
Theorem
Know and apply Pythagoras’ Theorem to right
angled triangles link link
Trigonometry Know and use SOH CAH TOA to find angles
and lengths in right-angled triangles link
link
link
link
Vectors Add and subtract vectors link link Represent a vector on a grid
Probability & Statistics
Learn Test
Probability Use the 0-1 scale to describe likelihood link link Calculate relative frequency from data collected
from repeated experiments link link
Use relative frequency as an estimate of
probability
Calculate probability expressed as fractions or
decimals in simple experiments link link
Use probability to calculate the expected number
of outcomes in repeated experiments
List all possible outcomes in a systematic way,
including tables and sample space diagrams link link
Use and construct Venn diagrams to calculate
probabilities link
link
link
link
Use tree diagrams to record probabilities of more
than one event link link
Use addition laws for mutually exclusive events
P(A or B) = P(A) + P(B) link link
Use the multiplication law to find the probability
of independent events
P(A and B) = P(A) x P(B)
link link
Sampling Understand the idea of random sampling and bias link link
Data Understand the difference between categorical
and numerical data link link
Interpret and construct appropriate charts
- two-way tables
- frequency tables
- bar charts
- pie charts
- pictograms
link
link
link
link
link
link
link
link
link
link
link
link
link
link
Calculate
- mean, median, mode and range for
ungrouped data
- find the modal class and estimate the
range, mean and median for grouped data
link
link
link
link
link
link
link
link
link
link
link
link
link
link
Make comparisons using summary statistics,
commenting on the ‘average’ and the variation of
each data set
link link