ALGEBRA

 

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Forming Expressions

 

Forming Expressions

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I Do, We Do, You Do Example Sheet covering forming Algebraic Expressions, e.g. "3 more than x".

This sheets also makes use of Algebra Tiles to aid understanding.

Simplifying Expressions

 

Collecting Like Terms

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I Do, We Do, You Do Example Sheet and Worksheet (included in IDWDYD) covering Collecting Like Terms, including multiple variables and powers.

These resources use Algebra Tiles to aid understanding.

Multiplying/Dividing Terms

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I Do, We Do, You Do Example Sheet and Worksheet covering Simplifying Expressions by multiplying and dividing terms, including applying the laws of indices.

Expanding Single Brackets

 

Expanding Single Brackets

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Multiple I Do, We Do, You Do Example Sheets covering Expanding Single Brackets, including numerical and algebraic factors.

This resource uses Algebra Tiles to aid understanding.

Introduction to Expanding

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Worksheet covering the first stages of Expanding Single Brackets.

This resource uses Algebra Tiles to aid understanding.

Expanding Single Brackets

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Worksheets, of increasing difficulty, covering the more difficult ideas of Expanding Single Brackets.

This first uses diagrams in order to aid understanding.

The second uses more abstract ideas of Grid Method and others to expand more difficult brackets.

Expanding and Simplifying

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I Do, We Do, You Do Example Sheet and Worksheet combining expanding single brackets and collecting like terms.

This resource uses Algebra Tiles to aid understanding.

Factorising Single Brackets

 

Factorising Single Brackets

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Multiple I Do, We Do, You Do Example Sheets covering Factorising Single Brackets, including numerical and algebraic factors.

This resource uses Algebra Tiles to aid understanding.

Introduction to Factorising

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Worksheet covering the first stages of Factorising Single Brackets.

This resource uses Algebra Tiles to aid understanding.

Factorising Single Brackets

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Worksheets, of increasing difficulty, covering the more difficult ideas of Factorising Single Brackets.

This first uses diagrams in order to aid understanding.

The second uses more abstract ideas of Grid Method and others to expand more difficult brackets.

Expanding Double Brackets

 

Expanding Double Brackets

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I Do, We Do, You Do Example Sheets covering Expanding Double Brackets.

This resource uses Algebra Tiles to aid understanding.

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Factorising Double Brackets

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Factorising Double Brackets

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Multiple worksheet covering Factorising Double Brackets.  This includes co-efficients of a equal to 1 and a greater than 1.

Linear Graphs

 

Table of Values

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I Do, We Do, You Do Example Sheet and Worksheet covering completing a table of values for linear graphs.

Plotting Linear Graphs

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I Do, We Do, You Do Example Sheet and Worksheet covering Plotting Linear Graphs.

The worksheet also investigates the relationship between similar straight line graphs.

Equation of Straight Line

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I Do, We Do, You Do Example Sheet and Worksheet covering Equation of a Straight Line given the graph.

Equation from Points

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I Do, We Do, You Do Example Sheet covering calculating the Equation of a Straight Line given either two co-ordinates or a point and gradient.

Gradient and Intercept

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Short Worksheet asking students to find the gradient and y-intercept from the equation of a straight line.

Some later equations require rearrangement.

Graphs - Mini Quiz

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Short summary activity to assess student understanding of Linear Graphs.

Linear Sequences

 

nth Term

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Lesson and accompanying worksheet looking at the nth term of a Linear Sequence.

This resource uses Cuisinere Rods to aid understanding.

Linear Equations

 

1-Step Equations

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I Do, We Do, You Do Example Sheet and Worksheet covering solving 1-Step Equations.

The Worksheet uses Algebra Tiles to aid understanding.

2-Step Equations

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I Do, We Do, You Do Example Sheet and Worksheet covering solving 2-Step Equations, including with fractions.

The first worksheet uses Algebra Tiles to aid understanding.

The second worksheet focuses on solving equations with fractions.

Quadratic Equations

 

Quadratic Formula

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I Do, We Do, You Do Example Sheets and Worksheet covering using the Quadratic Formula.

The first IDWDYD sheet covers a equal to 1, and the second when a isn't 1.

Completing the Square (1)

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I Do, We Do, You Do Example Sheets and covering using Algebra Tiles to ensure understanding when Completing the Square when a is 1.

Completing the Square (2)

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I Do, We Do, You Do Example Sheets and covering solving by Completing the square when a=1 and the implication of Completing the Square on finding the co-ordinates of the turning point of a graph.

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Completing the Square (3)

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I Do, We Do, You Do Example Sheets and covering using Algebra Tiles to ensure understanding when Completing the Square when a is not 1.

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Quadratic Graphs

 

Plotting Quadratic Graphs

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I Do, We Do, You Do Example Sheet covering Plotting Quadratic Graphs using a table of values.

Plotting from Key Points

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I Do, We Do, You Do Example Sheets covering plotting quadratic graphs from key points, including intercept, stationary point and the symmetry property.

Simultaneous Equations

 

Solving Graphically

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I Do, We Do, You Do Example Sheet covering Solving Linear Simultaneous Equations Graphically by determining interception points.

Equations Given Implicitly

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I Do, We Do, You Do Example Sheet covering plotting implicit equations, moving onto solving simultaneous equations graphically.

Solving by Substitution

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I Do, We Do, You Do Example Sheet covering Solving Linear Simultaneous Equations by Substitution

Solving by Elimination

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3 sets of I Do, We Do, You Do Example Sheet covering Solving Linear Simultaneous Equations by Elimination.

The first sheet covers equations which require no multiplication.

The second sheet requires one equation to be multiplied.

The third sheet requires both equations to be multiplied.

 
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Functions

Function Notation

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I Do, We Do, You Do Example Sheet covering using function notation, including through using a Function Machine and evaluating functions.

Solving Functions

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I Do, We Do, You Do Example Sheet covering Solving Functions, including through using a Function Machine and working backwards to find a specific value for the input.

Composite Functions

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I Do, We Do, You Do Example Sheet covering Composite Functions, including using the correct notation and understanding that the order of functions matters.

Inverse Functions

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I Do, We Do, You Do Example Sheet covering Inverse Functions, including using the correct notation and understanding what the inverse of a function means.