Understanding equations at year 7
Understanding equations at year 7 is the partner pack to Understanding algebra at year 7, and is designed to introduce your students to equation-solving and inequalities.
Featuring starters, main activities and plenaries alongside home learning opportunities and assessments, the pack contains question tasks, PowerPoints for class demonstration and discussion, worksheets and student activities.
These activities include: basic practice, error correction, jigsaw, application to 2D shapes and problem-solving, and explore the balance method, bar model, flow diagrams, inequalities and key vocabulary.
What's included?
- starters, main activities, plenaries, homework sheets, assessments
- 27 resources
- answers included.
What's inside?
Introduction (pages 3-4)
Section one: Short tasks (pages 5-12)
- Teaching notes
- Activities
- 1.1 Opposites
- 1.2 Trios
- 1.3 Which method?
- 1.4 Symbols
- 1.5 Bigger or smaller?
- 1.6 Where on the number line?
- Answers
Section two: Developing concepts (pages 13-18)
- Teaching notes
- Activities 2.1-2.6 and answers in PowerPoint
Section three: Developing fluency (pages 19-48)
- Teaching notes
- Activities
- 3.1 Solving equations with flow diagrams
- 3.2 Solving equations
- 3.3 Be the teacher
- 3.4 Equations jigsaw
- 3.5 Forming and solving equations
- 3.6 Problem solving
- 3.7 The Rhind mathematical papyrus
- 3.8 Considering inequalities
- 3.9 Inequalities and the number line
- 3.10 Inequalities staircase
- Answers
Section four: Homework tasks (pages 49-55)
- Teaching notes
- Activities
- 4.1 Completing equations
- 4.2 Equations investigation
- 4.3 Inequalities and types of number
- Answers
Section five: Assessment (pages 56-63)
- Equations assessment
- Inequalities assessment
- Equations assessment mark scheme
- Inequalities assessment mark scheme
Sections
One: Short tasks. These can be used as starters, plenaries or stand-alone tasks.
Two: Developing concepts. These PowerPoint resources are intended to be led by the teacher to advance students’ learning.
Three: Developing fluency. These activities comprise opportunities to practise concepts met in section two and some are there to challenge the most confident learners.
Four: Homework tasks. These can also be used as independent tasks within lessons.
Five: Assessment. A summative assessment covering all content, split into two sections: Equations [35 marks] and Inequalities [15 marks].
Each section is further split into: teaching notes, activities and answers sections.
Objectives
The learning objectives for this pack are taken from the national curriculum for KS3. In the teaching notes, objectives for each activity are stated.
The objectives are:
1. Algebraic manipulation. Use and manipulate algebra with the correct notation. This work is covered in the Teachit maths teaching pack Understanding algebra at year 7.
2. Algebraic vocabulary. Understand and be able to interpret the meaning of vocabulary within this topic.
3. Solve equations with the unknown on one side
4. Solve equations with the unknown on both sides
5. Solve equations containing single brackets
6. Represent inequalities
7. Solve inequalities
8. Modelling
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