Foundation Tier GCSE: Unit 1
Topic Skill Corbett Maths
worksheet and video number
Exam style questions
Solutions
N1 Number System
I can understand digits and place value 222 Factors, Multiples and Primes
Product of Prime Factors, HCF & LCM
Multiples in context
Factors, Multiples and Primes
Product of Prime Factors, HCF & LCM
Multiples in context
I can read, write and order positive and negative integers
221
I can interpret a number line I can add and subtract integers without a calculator
6 304
I can multiply integers without a calculator 199 I can divide integers without a calculator 98 I can add and subtract negative numbers 205 I can multiply negative numbers 206 I can divide negative numbers 207 I can recognise factors, multiples and primes 216 I can recognise multiples 220 I can recognise primes 225 I can write a number as a product of its prime factors
223
I can find the HCF 219 I can find the LCM 218 I can understand and find square numbers and their roots
227 228
I can understand and find cube numbers and their roots
212 214
A1 Expressions
I use the order of operations 211 BIDMAS, Powers and Roots
Simplifying and Expanding
BIDMAS, Powers and Roots
Simplify and Expanding
I can collect like terms 9 I can simplify expressions by multiplying terms 18 I can simplify expressions by dividing terms 11 I can expand single brackets 13 I can factorise an expression by using a single bracket
117
I can insert brackets to make a true statement 211 I know the difference between terms, expressions, equations and formulae I can substitute values into an expression 20 I can use the rules of indices to simplify an expression
17
I can simplify expressions involving the law of indices including negative and zero powers
174 175
I can form an algebraic term or expression from words
16
Foundation Tier GCSE: Unit 2
Topic Skill Corbett Maths
worksheet and video number
Exam style questions
Solutions
N2 Decimals
and Rounding
I can write decimal numbers in size order 95 Number Problems
Rounding and Bounds
Standard Form
Number Problems
Rounding and Bounds
Standard Form
I can understand and use the inequality sign 176 I can add and subtract decimals 90 & 91 I can multiply decimals 94 I can divide decimals 92 & 93 I can round to nearest 10, 100, 1000 277a & 277b I can round to a given number of decimal places 278 I can round to a given number of significant figures 279a
I can estimate the answer to a calculation using significant figures 215
I can use known facts to derive unknown facts. 222a I can apply and interpret limits of accuracy 183 & 184 I can use inequality notation to express error intervals due to truncation or rounding 377
I can convert between ordinary numbers and standard form 300
I can calculate numbers in standard form 301, 302 & 303
G1 Measures
I can read and estimate dials and scales 284 Reading Scales
Timetables Q1-Q8
Reading Scales
Timetables Q1-Q8
I can convert between 12 hour and 24-hour clock
I can work out durations of time 322
I can solve problems involving time and timetables
320 & 322
I can choose an appropriate unit of measure 347
I can convert between metric units of length, mass and capacity
349a, 349b & 349c
N3 Fractions
I can understand fractions, including diagrams 143 Fractions
FDP
Fractions
FDP
I can find equivalent fractions 135 I can find fractions of an amount 137 I can order fractions, percentages and decimals 131 I can convert between improper fractions and mixed numbers
139 & 140
I can multiply fractions 142 I can divide fractions 134 I can add and subtract fractions 132 & 133 I can convert between fractions, decimals and percentages
130
Foundation Tier GCSE: Unit 3
Topic Skill Corbett Maths
worksheet and video number
Exam style questions
Solutions
N4 Using a
Calculator
I can recognise terminating and recurring decimals Use of a
Calculator
Use of a Calculator
I can find reciprocals 145 I can interpret a calculator display
352 I can work out powers and roots using a calculator I can use a calculator to work out complex calculations (including standard form)
R1 Percentages
I can convert between fractions, decimals and percentages (review from fractions unit)
121 - 128
Percentages
FDP
Reverse Percentages
Percentages
FDP
Reverse Percentages
I can find a percentage of an amount, including percentages greater than 100% 234
I can express a quantity as a percentage of another 237
I can increase and decrease amounts by a percentage without a calculator 238
I can increase and decrease amounts using a multiplier 239
I can calculate reverse percentages 240 I can calculate a percentage change 233 I can calculate simple interest I can calculate compound interest 236 I can solve real life problems involving percentages and fractions (e.g which deal is better, investments)
I can solve problems involving repeat percentage change 236
I can solve problems involving percentage change where no values are given 233
S1 Averages
and Range
I can find the mode, median and mean of a set of data 56, 50, 53 Averages
Averages
I can discuss the advantages and disadvantages of different averages
I can calculate the range of a set of data 57 I can compare data sets using the averages and range
I can draw a stem and leaf diagram 169 I can use stem and leaf to find the mode and median of a set of data 170
I can calculate averages from an ungrouped frequency table 51, 54
I can calculate modal class and median from a grouped frequency table 52
I can estimate the mean from a grouped frequency table 55
Foundation Tier GCSE: Unit 4
Topic Skill Corbett Maths
worksheet and video number
Exam style questions
Solutions
G2 2D Shapes
I can identify types of different triangles 327 Area of Compound Shapes Intro Area and Perimeter Circles Intro
Circles 2
Area of Compound Shapes Intro Area and Perimeter
Circles Intro
Circles 2
I know the properties of quadrilaterals 2 I can draw and identify line of symmetry on 2D shapes
316
I can identify the order of symmetry of a 2D shape 317 I can identify congruent and similar shapes 66 & 291 I can find the perimeter of simple shapes 242 I can find the perimeter of compound shapes 241 I can find the area by counting squares 43 I can find the area of a rectangle 45 I can find the area of a triangle 49 I can find the area of a parallelogram 44 I can find the area of a trapezium 48 I can find the area of compound shapes 41 & 42 I can identify and name part of a circle 61 I can draw a circle and arc with a given radius and angle
I can find the circumference of a circle 60 I can find the area of a circle 59 I can find the area and perimeter of half and quarter circles
62
I can find the area of a sector of a circle 63
I can find the arc length of a circle 58
R2 Ratio and
Proportion 1
I can simplify a ratio 269 Ratio
Ratio 2 Proportion
Ratio
Ratio 2 Proportion
I can write a ratio as a fraction and vice versa 269a
I can scale ratios to find unknown quantities 270
I can divide in a given ratio either given the whole amount, given the value of one part of the ratio or given the value of the difference
271, 271a & 271b
I can express a multiplicative relationship between two quantities as a ratio or a fraction. 271c
I can use the unitary method to solve direct proportion and best buy problems 255a
I can solve calculations involving exchange rates 214a
Foundation Tier GCSE: Unit 5
Topic Skill Corbett Maths
worksheet and video number
Exam style questions
Solutions
A2 Equations
I can solve a one step linear equation
110
Solving Equations
Forming & Solving Equations
Solving Equations
Forming & Solving Equations
I can solve a two step linear equation
I can solve a linear equation with brackets
I can solve linear equations that have unknowns on both sides
113 I can solve linear equations with negative coefficients
I can set up and solve linear equations from words or practical situations 114, 115
A3 Formulae
I can substitute values into expressions including brackets and powers
20
Substitution, solving & rearranging equations
Substitution, solving & rearranging equations
I can substitute into algebraic formulae
I can change the subject of a formula 7
G3 Angles 1
I can estimate the size of an angle 29 Basic Angles
Angles
Angles in Parallel Lines
Basic Angles
Angles
Angles in Parallel Lines
I can use a protractor to accurately measure angles 31
I can use a protractor to accurately draw angles 28
I can find missing angles of special triangles 37 In can find missing angles using angle facts up to
180 degrees I can find missing angles of a straight line, around a point and vertically opposite 39
I can find missing angles in a quadrilateral 33
I can identify parallel and perpendicular lines 232, 233
I can identify corresponding angles
25 I can identify alternate angles
Foundation Tier GCSE: Unit 6
Topic Skill Corbett Maths
worksheet and video number
Exam-style Questions
Solutions
S2 Data and
Graphs
I can classify data as being qualitative or quantitative
342
Bar Charts
Pie Charts
Two Way Tables
Bar Charts
Pie Charts
Two Way Tables
I can classify quantitative data as being discrete or continuous
343
I can design and use a data collection sheet 268 I can understand and use a tally 321 I can group data into class interval of equal width
I can complete two-way tables 319 I can interpret and extract data from tables I can interpret distance charts 318 I can interpret and complete a pictogram I can draw a pie chart 163 I can interpret a pie chart 164 I can read and interpret simple bar charts and line diagrams
147 & 148
I can read and interpret comparative and composite bar charts
I can represent grouped continuous data of equal class widths as a histogram
157
I can draw a frequency polygon 155 I can interpret simple trends from a frequency polygon
156
I can identify mistakes in graphs and tables
P1 Probability
I can place events on a probability scale 251 Probability & Relative Freq
Basic Probability
Harder Probability
Probability & Relative Freq
Basic Probability
Harder Probability
I can use words to describe probabilities 245 I can use a number to represent a probability 245 I can work out the probability of something not happening
250
I can use the fact that sum of exhaustive probabilities is 1
I can list outcomes in a systematic way 253 I can draw a sample space diagram and use it to find probabilities
246
I can estimate the probability from an experiment
248
I can compare experimental and theoretical probabilities
I can find probabilities from a two way tables 319 I can design a two way table 319
I can use probabilities to predict results 248
Foundation Tier GCSE: Unit 7
Topic Skill Corbett Maths worksheet and video number
Problem solving and
exam questions
Solutions
G4 3D Shapes
I can recognise and name 3D shapes 3 2D Shapes &
3D Forms
Volume of Prisms etc.
Plans & Elevations
2D Shapes &
3D Forms
Volume of Prisms etc.
Plans & Elevations
I can count the vertices, faces and edges of 3D shapes
5
I can draw nets and recognise solids from their nets
4
I can draw and interpret plans and elevations
354
I can find the volume of shapes made from cuboids
355
I can find the volume of prisms 356 I can find the surface area of prisms 310 – 312 I can find the volume & surface area of a cylinder
357
I can use the volume of a prism to calculate unknown lengths
356
I can interpret functional problems involving volume and capacity
I can understand the effect of enlargement for perimeter, area and volume of 2D and 3D shapes
I can convert between area measures 350 I can convert between volume measures 351
I can convert between units of volume and capacity
351
A4 Sequences
I can continue a sequence using the term to term rule
286 – 287
Sequences
Sequences
I can use an input/output machine 386 I can recognise and use sequences of triangular, square and cube numbers
212, 226, 229,
I can recognise and generate Fibonacci-type sequences
287a
I can find terms in a linear sequence using position to term rule
286 – 287
I can use a position to term rule to reason whether specific numbers are part of the sequence
286 – 287
I can find the nth term of a linear sequence
288 – 289
I can find the nth term from a picture pattern
290
I can recognise and generate quadratic and simple geometric progressions
A5 Graphs 1
I can plot co-ordinates in the first quadrant
84, 85
Coordinates
Equation of a Straight Line
Coordinates
Equation of a Straight Line
I can plot co-ordinates in all four quadrants
84, 85
I can find the midpoint of a line segment 198 I can draw and name horizontal and vertical lines
192, 193
I can plot a straight-line graph from a table of values
186
I can plot a straight-line graph without a table of values
187, 188
I can interpret the line y = mx + c to find the gradient and y-intercept
189 – 191
I can give the equation of a straight line drawn on a co-ordinate grid
189 – 191
I can use the form y = mx + c to identify parallel lines
196
I can find the equation of a line from two given points or one point and a given gradient
194, 195
Foundation Tier GCSE: Unit 8
Topic Skill Corbett Maths
worksheet and video number
Problem solving and exam questions
Solutions
G5 Trigonometry
1
I can find the hypotenuse of a right-angled triangle
257 Pythagoras’
Theorem Pythagoras’
Theorem I can find the shorter side of a right-angled triangle
257
I can apply Pythagoras' theorem to check if a triangle is right angled or not
257
I can find the length of a line segment between two co-ordinates
258, 263
I can use Pythagoras' Theorem in context 257
R3 Rates of Change
I can draw and interpret conversion graphs 151, 152 Speed, Distance & Time
Compound Measures
Speed, Distance & Time
Compound Measures
I can interpret the gradient of a straight line as a rate of change (such as rates of pay and speed)
390a, 390b
I can write a ratio as a linear function and use ratios to draw linear graphs I can convert and order metric units of time, length, mass and capacity (recap from measures)
348 – 349
I can calculate speed, distance and time and solve problems involving multiple stages of a journey
299, 171
I can calculate compound units of density and pressure
384, 385
G6 Angles 2
I can recognise regular polygons 32
Angles in Polygons
Angles in Polygons
I can find the sum of the interior angles of a polygon
32
I can calculate the interior angle of a polygon
32
I can calculate the exterior angle of a polygon
32
I can calculate angles at the centre of a regular polygon
32
I can solve problems involving bearings 26 – 27 I can construct accurate scale drawings 283
P2 Tree
Diagrams
I can draw frequency trees and use them to calculate probabilities
376 Frequency Trees
Probability & Tree Diagrams
Frequency Trees
Probability & Tree Diagrams
I can draw frequency trees when the information is given as a combination of ratios, percentages and fractions
376
I can draw probability tree diagrams and use them to calculate probabilities of combined independent events (with replacement)
252
I can draw probability tree diagrams and use them to calculate probabilities of combined independent events (without replacement)
252
Foundation Tier GCSE: Unit 9
Topic Skill Corbett Maths
worksheet and video number
Just Maths problem solving
practice questions
Solutions
A6 Further Equations and
Inequalities
I can expand and simplify double brackets
14 Quadratics
Quadratics
I can factorise quadratic expressions
118
I can solve quadratics equations using factorisation
266
I can represent inequalities on a number line
177 Inequalities
Inequalities
I can solve inequalities
178, 179
I can solve simultaneous equations
295 Simultaneous Equations
Simultaneous Equations
G7
Transformations and Vectors
I can reflect and describe a reflection of a shape
272,273,274 Mixed Transformations
Rotations
Mixed Transformations
Rotations
I can translate and describe a translation of a shape
325, 326
I can rotate and describe a rotation of a shape
275
I can enlarge and describe an enlargement of a shape
104, 105, 106
I can enlarge and describe an enlargement of a shape using a fractional and negative scale factor
107, 108
I can perform and describe the combination of all four transformations
I can use vector notation 353a
Mathswatch clip 174
Vectors
Vectors
I can apply addition, subtraction and multiplication to column vectors
I can represent column vectors graphically
S3 Line Diagrams and Scatter Graphs
I can draw and estimate values from a line graph
Time Series
Time Series
I can draw and interpret line graphs for time series data
382
I can draw and describe the relationship in a scatter graph
165, 166 Scatter Diagrams
Scatter Diagrams
I can describe the correlation in a scatter graph I can draw a line of best fit on a scatter graph
167
I can use the line of best fit to make predictions I can identify when it is reliable to use a line of best fit on a scatter graph (extrapolation)
G8 Constructions, Loci and Similarity
I can construct an angle 68,69,70,71 Loci and constructions
Loci and constructions
I can construct an accurate drawing of a triangle and a quadrilateral
81,82,83
I can bisect an angle 72 I can bisect a line 78 I can construct a perpendicular line to a given line
79
I can construct a perpendicular line from a point on a given line
80
I can construct the locus of a point that moves according to a simple rule.
75
I can construct and shade regions that follow more than one rule
76, 77
I can use scale factors, scale diagrams and maps
283 Similarity
Similarity
I can find missing lengths in similar shapes
292
Foundation Tier GCSE: Unit 10
Topic Skill Corbett Maths
worksheet and video number
Problem solving practice
questions
Solutions
P3 Sets and Venn
Diagrams
I can work out probabilities from a basic Venn diagram 380
Venn diagrams
Venn Diagrams
I can define a set and list elements of a set, using proper notation and use a simple Venn diagram to show elements in a set
379
I can list the union and intersection of two or three sets using proper notation and represent them on a Venn diagram
380 Mathswatch
Clip 127b I can draw and use Venn diagrams of three sets to calculate probabilities
Mathswatch Clip 185
I can use a Venn diagram to calculate conditional probability
G9 Trigonometry
2
I can use SOHCAHTOA to find missing lengths of right angled triangles 330 Trigonometry
Trigonometry
I can use SOHCAHTOA to find missing angles of right angled triangles 331
I can recall the exact values of sin and cos 30°, 45°, 60°, and 90° 341
R4 Ratio and Proportion 2
I can solve problems involving direct proportion algebraically 254 Graphs
Reasoning
Graphs
Reasoning
I can solve simple inverse proportion problems
Link
I can solve problems involving inverse proportion algebraically 255
I can identify graphs that illustrate direct and inverse proportion
Mathswatch Clip 199
A7 Graphs 2 I can interpret and draw line graphs 160 Distance time
Distance time
I can draw and interpret graphs of water filling different shaped containers
Mathswatch Clip A21b
2:19 I can draw and interpret distance-time graphs 171
I can draw a quadratic graph from a table of values 264
Quadratic Graphs
Quadratic Graphs
I can draw a quadratic graph without a table of values 265
I can use the graph of a quadratic function to solve equations 267c
I can identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically.
Mathswatch clip 160
I can plot cubic and reciprocal graphs Mathswatch clip 161