Patterns & Algebra

1

What is Algebra?

Variables, constants and why we use letters in maths

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2

Writing Algebraic Expressions

Turning words into mathematical symbols

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3

Substitution

Evaluating expressions by replacing variables with numbers

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4

Collecting Like Terms

Simplifying expressions by grouping similar terms

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5

Adding and Subtracting Algebraic Terms

Combining terms with the same variable

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6

Multiplying Algebraic Terms

Products of variables and coefficients

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7

Dividing Algebraic Terms

Quotients and cancelling common factors

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Q1

Checkpoint 1, Introduction to Algebra

Covers Lessons 1–7

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8

Expanding Single Brackets

Distributing a term across brackets

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9

Expanding and Simplifying

Multiple brackets and collecting like terms

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10

Factorising, Common Factor

Reverse of expanding, taking out shared factors

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11

What is an Equation?

Balancing both sides and the meaning of the equals sign

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12

Solving One-Step Equations (Add/Subtract)

Using inverse operations to isolate the variable

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13

Solving One-Step Equations (Multiply/Divide)

Multiplication and division equations

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14

Solving Two-Step Equations

Working through two operations systematically

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15

Equations with Brackets

Expand first, then solve

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16

Patterns and Sequences

Finding common differences and nth-term rules

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17

Finding the Rule (Function Machines)

Connecting input-output rules, tables and algebra

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Q2

Checkpoint 2, Equations and Patterns

Covers Lessons 8–17

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18

Coordinates and the Cartesian Plane

Plotting, quadrants and reflections on the Cartesian plane

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19

Graphing Linear Relationships

Tables of values, gradient and y-intercept

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20

Review and Problem Solving

Connecting all concepts and exam preparation

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Q3

Checkpoint 3, Coordinates, Linear Relationships & Synthesis

Covers Lessons 18–20

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QZ

Unit Quiz, Patterns & Algebra

Comprehensive assessment covering all 20 lessons

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