Thoughtful Mathematics Teaching Resources Designed to Improve Understanding and Outcomes
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ALGEBRA
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Algebra Tiles
Worksheet introducing algebra tiles and forming expressions using them.
Forming Expressions
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.
Language of Algebra
Worksheet covering using the foundation of algebraic language to form algebraic expressions.
This resource uses Algebra Tiles to aid understanding.
Collecting Like Terms
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
I Do, We Do, You Do Example Sheet and Worksheet covering Simplifying Expressions by multiplying and dividing terms, including applying the laws of indices.
Changing the Subject
I Do, We Do, You Do Example Sheet and Worksheet covering Changing the Subject of a Formula, including where the subject appears more than once.
Expanding Single Brackets
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
Worksheet covering the first stages of Expanding Single Brackets.
This resource uses Algebra Tiles to aid understanding.
Expanding Single Brackets
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
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
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
Worksheet covering the first stages of Factorising Single Brackets.
This resource uses Algebra Tiles to aid understanding.
Factorising Single Brackets
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
I Do, We Do, You Do Example Sheets covering Expanding Double Brackets.
This resource uses Algebra Tiles to aid understanding.
Factorising Double Brackets
Multiple worksheet covering Factorising Double Brackets. This includes co-efficients of a equal to 1 and a greater than 1.
Table of Values
I Do, We Do, You Do Example Sheet and Worksheet covering completing a table of values for linear graphs.
Plotting Linear Graphs
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
I Do, We Do, You Do Example Sheet and Worksheet covering Equation of a Straight Line given the graph.
Equation from Points
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
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
Short summary activity to assess student understanding of Linear Graphs.
nth Term
Lesson and accompanying worksheet looking at the nth term of a Linear Sequence.
This resource uses Cuisinere Rods to aid understanding.
1-Step Equations
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
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 Formula
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)
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)
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.
Completing the Square (3)
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.
Plotting Quadratic Graphs
I Do, We Do, You Do Example Sheet covering Plotting Quadratic Graphs using a table of values.
Plotting from Key Points
I Do, We Do, You Do Example Sheets covering plotting quadratic graphs from key points, including intercept, stationary point and the symmetry property.
Solving Graphically
I Do, We Do, You Do Example Sheet covering Solving Linear Simultaneous Equations Graphically by determining interception points.
Equations Given Implicitly
I Do, We Do, You Do Example Sheet covering plotting implicit equations, moving onto solving simultaneous equations graphically.
Solving by Substitution
I Do, We Do, You Do Example Sheet covering Solving Linear Simultaneous Equations by Substitution
Solving by Elimination
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.
Function Notation
I Do, We Do, You Do Example Sheet covering using function notation, including through using a Function Machine and evaluating functions.
Solving Functions
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
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
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.
Iteration
I Do, We Do, You Do Example Sheet covering solving quadratic and higher order equations by iteration.
Intro to Linear Inequalities
I Do, We Do, You Do Example Sheet covering representing Linear Inequalities on a Number Line
Solving Linear Inequalities
I Do, We Do, You Do Example Sheet covering solving Linear Inequalities of all forms.
Solving Quadratic Inequalities
I Do, We Do, You Do Example Sheet covering Solving Quadratic Inequalities, through using a sketch to ensure understanding and avoid misconceptions.
The last part of this example sheet requires the use of the Quadratic Formula in order to solve.