Number
Algebra
Interpreting and representing data
Fractions, Percentages & Ratio
Angles & Trigonometry
Graphs
Number
Integers and place value
| Skill | Hegarty Maths clip number | Video lesson link |
|---|---|---|
| Simple addition & its meaning | 1 | Video Link |
| Simple subtraction & its meaning | 2 | Video Link |
| Related addition & subtraction facts | 3 | Video Link |
| Simple multiplication & its meaning | 4 | Video Link |
| Simple division & its meaning | 5 | Video Link |
| Related multiplication & division facts | 6 | Video Link |
| Commutative law | 7 | Video Link |
| Associative law | 8 | Video Link |
| Addition facts | 9 | Video Link |
| Multiplication facts (times tables) | 10 | Video Link |
| Division facts | 11 | Video Link |
| Distributive law of multiplication | 12 | Video Link |
| Read & write positive integers | 13 | Video Link |
| Compare positive integers | 14 | Video Link |
| Round numbers to the nearest 10, 100, 1000 | 17 | Video Link |
| Addition | 18 | Video Link |
| Subtraction | 19 | Video Link |
| Addition & subtraction (worded problems) | 20 | Video Link |
| Long multiplication | 21 | Video Link |
| Short division | 22 | Video Link |
| Multiplication & division (worded problems) | 23 | Video Link |
| Order of operations 1 (positive integers) | 24 | Video Link |
| Odd & even numbers | 25 | Video Link |
| Divisibility tests | 26 | Video Link |
| Compare negative numbers | 37 | Video Link |
| Symmetry of subtraction | 38 | Video Link |
| Adding negative numbers | 39 | Video Link |
| Subtracting negative numbers | 40 | Video Link |
| Adding & subtracting positive & negative numbers | 41 | Video Link |
| Multiplying positive & negative numbers | 42 | Video Link |
| Dividing positive & negative numbers | 43 | Video Link |
| Order of operations 2 (negative numbers) | 44 | Video Link |
| Subtraction by counting on | 141 | Video Link |
| Subtraction using negatives | 142 | Video Link |
| Lattice method for multiplication | 143 | Video Link |
| Short multiplication | 144 | Video Link |
| Long division | 145 | Video Link |
| Division using steps | 146 | Video Link |
| Mental maths help 1 (splitting numbers) | 147 | Video Link |
| Mental maths help 2 (doubling & halving) | 148 | Video Link |
Decimals
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Multiply by powers of 10 | 15 | Video Link |
| Divide by powers of 10 | 16 | Video Link |
| Read & write decimal numbers | 45 | Video Link |
| Compare decimal numbers | 46 | Video Link |
| Addition & subtraction with decimals | 47 | Video Link |
| Multiplication with decimals | 48 | Video Link |
| Division with decimal answers | 49 | Video Link |
| Division of decimals | 50 | Video Link |
| Worded problems involving decimals | 51 | Video Link |
| Round decimal numbers | 56 | Video Link |
| Round to significant figures | 130 | Video Link |
| Estimate complex calculations | 131 | Video Link |
| Appropriate degrees of accuracy | 132 | Video Link |
| Truncation | 134 | Video Link |
| Related calculations 1 | 135 | Video Link |
| Related calculations 2 | 136 | Video Link |
| Use of commutative & associative laws | 140 | Video Link |
| Money (1) | 743 | Video Link |
| Money (2) | 744 | Video Link |
| Money (3) | 745 | Video Link |
| Money (4) | 746 | Video Link |
| Money (5) | 747 | Video Link |
| Money (6) | 748 | Video Link |
| Money (7) | 749 | Video Link |
| Money (8) | 750 | Video Link |
| Money (9) | 751 | Video Link |
| Money (problem solving 1) | 752 | Video Link |
| Money (problem solving 2) | 753 | Video Link |
| Money (problem solving 3) | 754 | Video Link |
Indices, powers and roots
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Square numbers | 99 | Video Link |
| Cube numbers | 100 | Video Link |
| Square & cube roots | 101 | Video Link |
| Index form 1 (intro) | 102 | Video Link |
| Index form 2 (power of 0 & 1) | 103 | Video Link |
| Index form 3 (power of negative integers) | 104 | Video Link |
| Index form 4 (multiplying indices) | 105 | Video Link |
| Index form 5 (dividing indices) | 106 | Video Link |
| Index form 6 (power of power rule) | 107 | Video Link |
| Order of operations 3 (indices & roots) | 120 | Video Link |
| Complex calculations using a calculator | 129 | Video Link |
Factors, multiples and primes
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Factors of a number | 27 | Video Link |
| Prime numbers | 28 | Video Link |
| Prime factorisation 1 | 29 | Video Link |
| Prime factorisation 2 | 30 | Video Link |
| Highest common factor (listing) | 31 | Video Link |
| Highest common factor (prime factorisation) | 32 | Video Link |
| Multiple of a number | 33 | Video Link |
| Lowest common multiple (listing) | 34 | Video Link |
| Lowest common multiple (prime factorisation) | 35 | Video Link |
| LCM (worded problems) | 36 | Video Link |
Algebra
Algebra: the basics
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Writing algebraic expressions 1 | 151 | Video Link |
| Writing algebraic expressions 2 | 152 | Video Link |
| Writing algebraic expressions 3 (in context) | 153 | Video Link |
| Expressions, equations, identities & formulae | 154 | Video Link |
| Collecting like terms 1 | 156 | Video Link |
| Collecting like terms 2 | 157 | Video Link |
| Simplifying expressions involving multiplication | 158 | Video Link |
| Simplifying expressions involving division | 159 | Video Link |
Expanding and factorising single brackets
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Expand a single bracket | 160 | Video Link |
| Expand two single brackets & simplify | 161 | Video Link |
| HCF of algebraic expressions | 167 | Video Link |
| Factorise simple expressions 1 | 168 | Video Link |
| Factorise simple expressions 2 | 169 | Video Link |
Expressions and substituting into formulae
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Writing formulae & simple substitution | 155 | Video Link |
| Substitution into complex formulae | 278 | Video Link |
| Substitution into important formulae | 279 | Video Link |
| Substitution (1) | 780 | Video Link |
| Substitution (2) | 781 | Video Link |
| Substitution (3) | 782 | Video Link |
| Substitution (4) | 783 | Video Link |
| Substitution (5) | 784 | Video Link |
| Substitution (6) | 785 | Video Link |
| Substitution (7) | 786 | Video Link |
| Substitution (8) | 787 | Video Link |
| Substitution (Equations of motion 1) | 788 | Video Link |
| Substitution (Equations of motion 2) | 789 | Video Link |
Interpreting and representing data
Tables
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Surveys & questionnaires (1) | 399 | Video Link |
| Surveys & questionnaires (2) | 400 | Video Link |
| Data collection sheets (tally charts) | 401 | Video Link |
| Grouped frequency tables (discrete) | 402 | Video Link |
| Grouped frequency tables (continuous) | 403 | Video Link |
| Two-way tables (1) | 422 | Video Link |
| Two-way tables (2) | 423 | Video Link |
| Two-way tables (3) | 424 | Video Link |
Charts and graphs
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Bar charts & vertical line graphs | 425 | Video Link |
| Pictograms | 426 | Video Link |
| Stem & leaf diagrams (1) | 430 | Video Link |
| Stem & leaf diagrams (2) | 431 | Video Link |
| Stem & leaf diagrams (3) | 432 | Video Link |
| Stem & leaf diagrams (4) | 433 | Video Link |
| Frequency polygons | 441 | Video Link |
| Time series charts (1) | 450 | Video Link |
| Time series charts (2) | 451 | Video Link |
| Time series charts (3) | 452 | Video Link |
Pie charts
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Pie charts (1) | 427 | Video Link |
| Pie charts (2) | 428 | Video Link |
| Pie charts (3) | 429 | Video Link |
Scatter graphs
| Skill | Hegarty Maths clip number | |
|---|---|---|
| Scatter diagrams (1) | 453 | Video Link |
| Scatter diagrams (2) | 454 | Video Link |
Fractions, Percentages & Ratio
Fractions
| Skill | Hegarty Maths clip number | Video lesson link |
|---|---|---|
| What is a fraction? | 57 | Video Link |
| Fractions as pictures | 58 | Video Link |
| Generate equivalent fractions | 59 | Video Link |
| Compare fractions | 60 | Video Link |
| Simplify fractions | 61 | Video Link |
| Express one number as a fraction of another | 62 | Video Link |
| Improper fractions to mixed numbers | 63 | Video Link |
| Mixed numbers to improper fractions | 64 | Video Link |
| Add or subtract fractions (same denominator) | 65 | Video Link |
| Add or subtract fractions (different denominator) | 66 | Video Link |
| Multiply whole number by fractions | 67 | Video Link |
| Multiplying fractions 1 | 68 | Video Link |
| Multiplying fractions 2 | 69 | Video Link |
| Dividing fractions | 70 | Video Link |
| Reciprocal of fractions | 71 | Video Link |
| Linking multiplying/dividing fractions & whole numbers | 72 | Video Link |
| Convert fractions to decimals 1 | 73 | Video Link |
| Convert fractions to decimals 2 | 74 | Video Link |
| Fractions of an amount | 77 | Video Link |
| Increase/decrease by a fraction | 78 | Video Link |
| Reverse fraction problems | 79 | Video Link |
| Fractions (worded problems) | 80 | Video Link |
Percentages
| Skill | Hegarty Maths clip number | Video lesson link |
|---|---|---|
| Convert simple decimals to fractions | 52 | Video Link |
| Convert recurring decimals to fractions 1 | 53 | Video Link |
| Convert recurring decimals to fractions 2 | 54 | Video Link |
| Convert simple decimals to percentages | 55 | Video Link |
| Convert fractions to percentages 1 | 75 | Video Link |
| Convert fractions to percentages 2 | 76 | Video Link |
| Percentages as pictures | 81 | Video Link |
| Convert percentages to fractions | 82 | Video Link |
| Convert percentages to decimals | 83 | Video Link |
| Find percentages of amounts 1 (common % non-calc) | 84 | Video Link |
| Find percentages of amounts 2 (using 10% non-calc) | 85 | Video Link |
| Find percentages of amounts 3 (using decimals non-calc) | 86 | Video Link |
| Find percentages of amounts 4 (using calculator) | 87 | Video Link |
| Percentage increase or decrease (non-calc) | 88 | Video Link |
| Percentage/decimal multipliers | 89 | Video Link |
| Percentage increase or decrease | 90 | Video Link |
| Repeated percentage increase or decrease 1 | 91 | Video Link |
| Repeated percentage increase or decrease 2 | 92 | Video Link |
| Simple interest | 93 | Video Link |
| Compound interest | 94 | Video Link |
| Depreciation | 95 | Video Link |
| Reverse percentages | 96 | Video Link |
| Percentage change | 97 | Video Link |
| Percentages (worded problems) | 98 | Video Link |
| Conversions between FDP (summary) | 149 | Video Link |
Ratio & Proportion
| Skill | Hegarty Maths clip number | Video lesson link |
|---|---|---|
| Compare quantities using ratios | 328 | Video Link |
| Simplify ratios | 329 | Video Link |
| Write ratios as fractions/proportions | 330 | Video Link |
| Write ratios in the form 1:n or n:1 | 331 | Video Link |
| Share in a given ratio 1 | 332 | Video Link |
| Share in a given ratio 2 | 333 | Video Link |
| Share in a given ratio 3 | 334 | Video Link |
| Harder problems involving ratios 1 | 335 | Video Link |
| Harder problems involving ratios 2 | 336 | Video Link |
| Harder problems involving ratios 3 | 337 | Video Link |
| Solve ratio problems using algebra | 338 | Video Link |
| Direct proportion 1 | 339 | Video Link |
| Direct proportion 2 | 340 | Video Link |
| Direct proportion 3 | 341 | Video Link |
| Inverse proportion | 342 | Video Link |
| Recipe problems (1) | 739 | Video Link |
| Recipe problems (2) | 740 | Video Link |
| Recipe problems (3) | 741 | Video Link |
| Recipe problems (4) | 742 | Video Link |
Angles & Trigonometry
Polygons, angles and parallel lines
| Skill | Hegarty Maths clip number | Video lesson link |
|---|---|---|
| Types of angles | Video Link | |
| Naming sides & angles | Video Link | |
| Estimating angles | Video Link | |
| Measuring angles (1) | Video Link | |
| Measuring angles (2) | Video Link | |
| Measuring angles (3) | Video Link | |
| Drawing angles | Video Link | |
| Angles on a straight line (1) | Video Link | |
| Angles on a straight line (2) | Video Link | |
| Angles around a point | Video Link | |
| Vertically opposite angles | Video Link | |
| Alternate angles | Video Link | |
| Co-interior angles | Video Link | |
| Corresponding angles | Video Link | |
| Proof – angles in triangles | Video Link | |
| Angles in a triangle (1) | Video Link | |
| Angles in a triangle (2) | Video Link | |
| Angles in a triangle (3) | Video Link | |
| Multi-step angle problems (1) | Video Link | |
| Multi-step angle problems (2) | Video Link | |
| Multi-step angle problems (3) | Video Link | |
| Multi-step angle problems (4) | Video Link | |
| Interior angles in quadrilaterals | Video Link | |
| Interior angles in polygons (1) | Video Link | |
| Interior angles in polygons (2) | Video Link | |
| Exterior angles in polygons (1) | Video Link | |
| Exterior angles in polygons (2) | Video Link | |
| Angles in polygons using algebra | Video Link | |
| Angles around a point (1) | Video Link | |
| Angles around a point (2) | Video Link | |
| Angles around a point (3) | Video Link | |
| Complementary angles | Video Link | |
| Points and lines | Video Link | |
| 2D shapes | Video Link | |
| Triangles | Video Link | |
| Quadrilaterals (1) | Video Link | |
| Quadrilaterals (2) | Video Link | |
| Quadrilaterals (3) | Video Link | |
| Line symmetry | Video Link | |
| Rotational symmetry | Video Link |
Pythagoras’ Theorem and trigonometry
| Skill | Hegarty Maths clip number | Video lesson link |
|---|---|---|
| Pythagoras’ theorem (proof) | Video Link | |
| Pythagoras (longer side) | Video Link | |
| Pythagoras (shorter side) | Video Link | |
| Pythagoras (surds) | Video Link | |
| Pythagoras (applied) (1) | Video Link | |
| Pythagoras (applied) (2) | Video Link | |
| Pythagoras (multi-step) (1) | Video Link | |
| Pythagoras (multi-step) (2) | Video Link | |
| 3D Pythagoras (1) | Video Link | |
| 3D Pythagoras (2) | Video Link | |
| 3D Pythagoras (3) | Video Link | |
| Trigonometry (introduction) | Video Link | |
| Trigonometry (find side) (1) | Video Link | |
| Trigonometry (find side) (2) | Video Link | |
| Trigonometry (find angle) (1) | Video Link | |
| Trigonometry (find angle) (2) | Video Link | |
| Trigonometry (multi-step) (1) | Video Link | |
| Trigonometry (multi-step) (2) | Video Link | |
| Trigonometry (elevation/depression) | Video Link | |
| Non-calculator trigonometry (1) | Video Link | |
| Non-calculator trigonometry (2) | Video Link | |
| Non-calculator trigonometry (3) | Video Link | |
| Non-calculator trigonometry (4) | Video Link | |
| Non-calculator trigonometry (5) | Video Link | |
| Non-calculator trigonometry (6) | Video Link | |
| Non-calculator trigonometry (7) | Video Link | |
| Non-calculator trigonometry (Problem solving 1) | Video Link | |
| Non-calculator trigonometry (Problem solving 2) | Video Link |
Graphs
Graphs: the basics and real-life graphs
Linear graphs and coordinate geometry
| Skill | Hegarty Maths clip number | Video lesson link |
|---|---|---|
| Cartesian axes & coordinates | 199 | Video Link |
| Midpoint of a line segment | 200 | Video Link |
| Gradient of a line segment 1 | 201 | Video Link |
| Gradient of a line segment 2 (negative) | 202 | Video Link |
| Gradient of a line segment 3 (fractions) | 203 | Video Link |
| Gradient of a line segment 4 (summary) | 204 | Video Link |
| Drawing line graphs from coordinates | 205 | Video Link |
| Straight line graphs 1 | 206 | Video Link |
| Straight line graphs 2 | 207 | Video Link |
| Straight line graphs 3 | 208 | Video Link |
| Straight line graphs 4 | 209 | Video Link |
| Straight line graphs 5 | 210 | Video Link |
| Straight line graphs 6 | 211 | Video Link |
| Straight line graphs 7 | 212 | Video Link |
| Straight line graphs 8 | 213 | Video Link |
| Straight line graphs (parallel) | 214 | Video Link |
| Straight line graphs (perpendicular) 1 | 215 | Video Link |
| Straight line graphs (perpendicular) 2 | 216 | Video Link |
| Solving equations & straight lines | 217 | Video Link |
| Straight line graphs (alternative way to define) | 220 | Video Link |
Quadratic, cubic and other graphs
| Skill | Hegarty Maths clip number | Video lesson link |
|---|---|---|
| Drawing quadratic graphs from a table | 251 | Video Link |
| Find the y-intercept of a quadratic graph | 252 | Video Link |
| Find the x-intercept (roots) of a quadratic graph | 253 | Video Link |
| Using a quadratic graph to solve a related quadratic equation | 260 | Video Link |
| Cubic graphs (from a table of values) | 298 | Video Link |
| Cubic graphs (recognising) | 299 | Video Link |
| Reciprocal graphs 1 | 300 | Video Link |
| Reciprocal graphs 2 | 301 | Video Link |
| Equation of a circle 1 | 314 | Video Link |
| Equation of a circle 2 | 315 | Video Link |
| Equation of a circle 3 | 316 | Video Link |
| Equation of a circle 4 | 317 | Video Link |
| Circles & straight lines 1 | 318 | Video Link |
| Circles & straight lines 2 | 319 | Video Link |
| Circles, normals & tangents | 320 | Video Link |