1. Resources Home
  2. Secondary
  3. Mathematics
  4. Algebra
  5. Solving equations
Relationships

Relationships

This is a great, open ended, rich maths task which encourages students to understand connections - relationships - between many areas of maths. Here is… a number machine, algebra, graph, sentence, sequence and input/output table for students to investigate… and hopefully come to the conclusion that all represent the same relationship in different ways. I’ve tried this a few times with Yr7, 8, 9 students and, although they start off slow and I keep my own input to a minimum, they usually get there and appreciate it all the more after a while. If the class is really struggling then you could use the suggestions for ways to investigate which are on slide 4. To extend this rich, open task students could create their own set of cards. The file ‘Relationships’ is the main activity and the ‘LessonPlan’ goes with this. I suggest print out the main page for pairs of students as well as projecting from of class. A subsequent activity / lesson could be students to complete the number machine, table, sentence and graph from the algebra. The file ‘Relationships2’ are the resources that you’ll need for this with the file ‘LessonPlan2’ as the lesson plan. Tried and tested, and corrected(!), in the classroom many times. This download includes a pdf files as well as the original powerpoint and word files for easy editing.
grahamcolman
Equations Game

Equations Game

Pupils earn points by solving the equations. Easier questions earn less points so pupils self-differentiate and decide their own level of difficulty for themselves (although the teacher should check that they do this sensibly of course!). Pupils with most points after a given time period win a prize. The competitive nature of this activity encourages pupils to push themselves more than they would usually and I’m always pleasantly surprised at what equations they can do here. Answers to the equations are included. as well as an easier version (v3) with no negative answers. Tried and tested in the classroom many times. This download includes a files as well as the original word files for easy editing.
grahamcolman
Probability Reasoning Tasks

Probability Reasoning Tasks

Several tasks all based on the infamous ‘Hannah’s Sweets’ Edexcel GCSE question about combined probability. These tasks are designed to improve students’ mathematical reasoning and were created as part of the Mathematical Reasoning at GCSE project run by Cambridge Maths Hub. The tasks vary in difficulty, and include work on writing expressions, mutually exclusive and independent events, using probability diagrams (probability/frequency trees, Venn and 2-way table), combining probabilities of multiple events and forming and solving quadratic equations. They are not intended to be used all together; just pick and choose one or two suitable ones for your class. The Venn diagram task is an excellent idea I swiped from the amazing Mr Barton. A similar set of tasks on a different application of quadratic expressions can be found here: https://www.tes.com/teaching-resource/algebraic-area-reasoning-tasks-11838759. Please please consider leaving some feedback. I’d be really interested to hear which tasks you chose and how you used them!
catrionashearer
Algebraic Area Reasoning Tasks

Algebraic Area Reasoning Tasks

Several tasks all based on a WJEC GCSE question about forming and solving a quadratic equation for the area of two rectangles. These tasks are designed to improve students’ mathematical reasoning and were created as part of the Mathematical Reasoning at GCSE project run by Cambridge Maths Hub. The tasks vary in difficulty, and include forming expressions for various areas and perimeters, expressing proportional relationships, numerical and algebraic ratio tables and identifying reasonable assumptions. They are not intended to be used all together; just pick and choose one or two suitable ones for your class. Thanks to JustMaths for the collection of exam questions by topic where I found the original question. A similar set of tasks on a different application of quadratic expressions can be found here: https://www.tes.com/teaching-resource/probability-reasoning-tasks-11839057 and there is a more numerical approach to compound area in these tasks: https://www.tes.com/teaching-resource/compound-area-reasoning-tasks-11838514 All feedback very welcome. I’d be really interested to hear which tasks you chose and how you used them!
catrionashearer
Solving Equations - Differentiated (4 tier)

Solving Equations - Differentiated (4 tier)

Fully differentiated worksheet with step-by-step guide on solving equations. Simple - Two/Three step - Worded questions. Red - Amber - Green - Extension . I created this worksheet for a low ability year 8 class, so that they fully understand the nature of the “inverse” operation and apply it to solving equations.
areef92
Mathematics GCSE weekly revision 2

Mathematics GCSE weekly revision 2

These 5 sheets of 9 questions per sheet can be given to students to complete in class or as a piece of work for home. The sheets are designed to give students regular practice at questions they often forget. Topics included are: Area of a trapezium Solving equations finding the nth term of a sequence Constructing an equation Prime factors Volume of a cylinder Decimal multiplication Factorising Removal of brackets
sjcooper
UKS2 Algebra Unit (Mastery / Singapore approach)

UKS2 Algebra Unit (Mastery / Singapore approach)

A comprehensive run-through of algebra. Can be used in tandem with maths mastery / Singapore / Shanghai numeracy schemes, like White Rose. Lessons include: solving one step and two step problems, finding a one-step a two-step rule / rules, finding pairs of values, finding an unknown value, expressing algebraic rules, and enumerate / enumerating possibilities. All resources designed to engage learners using concrete, pictorial and abstract representations. At least three weeks of lessons included in the PowerPoint, with hundreds of algebra slides! Great for Year 5 or Year 6; upper Key Stage Two (KS2); even Key Stage Three (KS3)
abelarden
Numeracy notes and Homeworks (Numbers, Negatives, Fractions, Percentages, Algebra)

Numeracy notes and Homeworks (Numbers, Negatives, Fractions, Percentages, Algebra)

A series of 17 one-page handouts each with explanations, examples then questions. Covers Numbers, Negatives, Fractions, Percentages, Algebra. For lower ability classes I print these out and they stick them in their jotters. The topics are: Types of Number, Factors, Powers, Prime Factors, Negatives adding and subtracting, Negatives multiplying and dividing, Fractions of an amount, Equivalent fractions, Mixed numbers, Multiplying and Dividing fractions, Adding and subtracting fractions, Finding percentages, Fractions decimals percentages, Substitution, Multiplying Brackets, Simplifying, Solving Equations)
dh2119
Algebra Notes and Questions

Algebra Notes and Questions

Worked examples and questions on these four topics: Substitute values into expressions and evaluate Multiply two brackets Solve inequalities Create and solve inequalities for problems in words Solutions included
dh2119
Linear Simultaneous Equations

Linear Simultaneous Equations

Aimed as intro lessons or for recapping work 2 presentations on simultaneous equations, one covering elimination and one covering substitution various activities included, group work, pair work, discussion tasks, practice questions. Full step by step examples and answers to all questions provided. 2 jigsaws (in both word for those without formulator) and in tarsia (feel free to adapt them) and a treasure hunt/follow me activity included. Hope you find them useful please leave feedback
commuter
Simultaneous Equations tarsia

Simultaneous Equations tarsia

2 tarsia jigsaws on simultaneous equations one without borders the other with easy to adapt useful for a plenary/starter hope you find it useful please leave feedback
commuter