Topic | Leckie and Leckie Textbook Chapter | Check | Hegarty Tasks | Scholar | Other resources | Exam Practice |
Collins connect |
Working with Surds. | CH1 | | What is a surd?
| Surds and Indices | | N5 Mixed Questions |
| Multiplication & division with surds 1 | |
| Multiplication & division with surds 2 | |
| Simplifying surds | |
| Rationalising surds 1 | |
Simplifying Expressions using the laws of indices. | CH2 | | Index form 1 (intro) | |
| Index form 2 (power of 0 & 1) | |
| Index form 3 (power of negative integers) | |
| Index form 4 (multiplying indices) | |
| Index form 5 (dividing indices) | |
| Index form 6 (power of power rule) | |
| Index form 7 (powers of unit fractions) | |
| Index form 8 (powers of non-unit fractions) | |
| Index form 9 (combination of rules)) | |
Working with algebraic expressions involving expansion of brackets | CH3 | | Expand a single bracket | Expanding Brackets | | |
| Expand two single brackets & simplify | | N5 Essential Skills |
| Expand double brackets 1 | | Answers |
| Expand double brackets 2 | | |
| Expand double brackets 3 | | |
Factorising an algebraic expression | CH4 | | HCF of algebraic expressions | Factorising | | |
| Factorise simple expressions 1 | | |
| Factorise simple expressions 2 | | N5 Essential skills |
| Factorise quadratic expressions 3 | | Answers |
| Factorise quadratic expressions 4 | | |
Completing the square in a quadratic expression with Unitary coefficients. | CH5 | | Completing the square 1 | Completing the Square | | Mixed Questions |
| Completing the square 2 | |
Working with Fractions | CH32 | | Mixed numbers to improper fractions | Fractions and Percentages | | |
| Add or subtract fractions (same denominator) | | |
| Add or subtract fractions (different denominator) | | |
| Multiply whole number by fractions | | N5 Essential Skills |
| Multiplying fractions 1 | | Answers |
| Multiplying fractions 2 | | |
| Dividing fractions | | |
Reducing an algebraic fraction to it’s simplest form | CH6 | | Simplifying expressions involving division | Algebraic fractions | | |
| Simplifying expressions by factorising 1 | | Algebraic fractions 1 |
| Simplify algebraic fractions (involving quadratics) | | Solutions |
Applying one of the four operations to algebraic fractions | CH7 | | Expressions with algebraic fractions | | Algebraic fractions 2 |
| Maths workout Algebraic fractions | | Solutions |
Determining the Gradient of a straight line, given two points | CH8 | | Gradient of a line segment 1 | Straight Line | | |
| Gradient of a line segment 2 (negative) | | Straight line |
| Gradient of a line segment 3 (fractions) | | |
| Gradient of a line segment 4 (summary) | | |
Rounding to a given number of significant figures | CH11 | | Round to significant figures | Rounding and scientific notation | | |
Calculating the length of an arc or the area of a sector of a circle | CH9 | | Arc length (1) | Arcs and Sectors | | |
| Arc length (2) | | Arcs & sectors |
| Area of a sector (1) | | |
| Area of a sector (2) | | |
Calculating the volume of a standard Solid | CH10 | | Cuboids (1) | Volume of Solids | | |
| Cuboids (2) | | |
| Prisms (1) | | |
| Cylinders (1) | | |
| Cylinders (2) | | |
| Cones (1) | | Volume of solids |
| Frustums | | |
| Rectangular based pyramidd | | |
| Spheres (1) | | |
| Compound volume | | |
| Volume (harder problems) | | |
Determining the equation of a straight line, given the gradient | CH12 | | Straight line graphs 1 - sketching from a table | Straight Line | | |
| Straight line graphs 2 - y = mx + c | | |
| Straight line graphs 3 - sketching y = mx + c | | |
| Straight line graphs 4 - sketching y = mx + c | | Straight line |
| Straight line graphs 5 - general equation | | |
| Straight line graphs 6 - | | |
| Straight line graphs (parallel) | | |
Working with linear equations and inequations | CH11 | | Solve equations with x on both sides 1 | Solving Equations and Inequations | | |
| Solve equations with x on both sides 2 | |
| Solve equations with x on both sides 3 | |
| Solve equations with algebraic fractions | |
| Solve single linear inequalities 1 (positive x) | |
| Solve single linear inequalities 2 (negative x) | |
| Solve single linear inequalities 3 (difficult) | |
Working with simultaneous equations | CH14 | | Simultaneous equations by elimination 1 (intro) | Working with Simutaneous Equations | | |
| Simultaneous equations by elimination 2 | |
| Simultaneous equations by elimination 3 | |
| Simultaneous equations by elimination 4 | |
| Simultaneous equations by substitution | |
| Simultaneous equations (in context) | |
Working with Percentages | CH31 | | Percentage/decimal multipliers | Fractions, Decimals and percentages | | |
| Percentage increase or decrease | |
| Compound interest | |
| Depreciation | |
| Reverse percentages | |
Recognise and determine the equation of a quadratic function from its graph | CH16 | | | | | |
| | Equations from graphs | | |
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Sketching a Quadratic Function | CH17 | | Drawing quadratic graphs from a table | Graphs of Quadratic functions | | |
| Find the y-intercept of a quadratic graph |
| Find the x-intercept (roots) of a quadratic graph |
| Find the line of symmetry of a quadratic graph |
| Find the turning point of quadratic graphs 1 |
| Find the turning point of quadratic graphs 2 |
| Sketch a fully labelled quadratic graph |
Identify Features of a quadratic function | | | | | | |
Working with quadratic equations | | | | | | |
Applying Pythagoras Theorem | | | | | | |
Calculating the Area of a triangle using trigonometry | | | | | | |
Using the sine and cosine rules to find a side or angle | | | | | | |
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