Without Panic Maths · Algebra 31

Simultaneous Equations from Graphs

Find, check and interpret where two straight lines meet

Page 1 of 6Cover and what the pack covers
Cover and what the pack covers
1 / 6 · Cover and what the pack covers
£3.50Go to basket

Secure checkout by Stripe · Instant PDF download

Mini-lessons
10
Questions
132
Student Pack
105 pages
Suggested year
Year 9

What you get

  • Student Pack (PDF, 105 pages)
  • Teacher Pack (PDF) with every answer and reteach cards
  • Print as many copies as you need for your own pupils

Save with a bundle

  • Graphs9 packs · £31.50 £28
  • Algebra, Year 913 packs · £42 £37
  • Algebra: complete strand48 packs · £161 £142

What this pack does

What pupils learn

This pack teaches graphical simultaneous equations as shared points. Pupils read exact and approximate intersections, verify solutions in both equations, draw two lines, distinguish one, no and infinitely many solutions and interpret intersections in context. 1 | Licensed to buyer: school/tutor/student 31 - Simultaneous Equations from Graphs Without Panic | Student Pack

The mini-lessons

  1. A point can satisfy an equation
  2. The shared point solves both equations
  3. Read an exact intersection from the grid
  4. Check the solution in both equations
  5. Read an approximate intersection
  6. Draw both lines, then read the solution
  7. Parallel lines mean no solution
  8. The same line means infinitely many solutions
  9. Interpret an intersection in context
  10. Audit solutions, precision and solution type

Inside every pack

What each part of the page is for

  1. Confidence check

    Pupils tick how a topic feels before they start, and again at the end. There are no marks, so it's an honest picture of where they are.

  2. Short mini-lessons

    Each topic is split into small steps. Every mini-lesson opens with one big idea and a short, plain-English explanation.

  3. Visuals for every idea

    Diagrams such as a formula 'rule machine' or a place-value picture show the maths, so pupils can see it as well as read it.

  4. Worked examples

    Every method is modelled step by step before pupils try it, with each stage labelled so they can follow it on their own.

  5. Scaffolded practice

    Questions start with prompts (what do you need to find, follow the example, check it makes sense) and gradually ask for more independence.

  6. Spot the trap

    Common mistakes are named before pupils make them, and Mistake Detective questions ask them to find and fix errors.

  7. Pause and think

    Short 'explain it in your own words' prompts check that pupils understand why the maths works, not just how.

  8. Teacher Pack with answers

    Every pack comes with a Teacher Pack: all the answers, plus reteach cards saying what to watch for, what to say, and what to try if a pupil is still stuck.

More algebra packs

Algebra 7A · Year 8

Bracket Equations 1

Bracket equations are not a new species of maths monster. They are equations with one extra step at the start.

£3.50
See inside
Algebra 7B · Year 8

Bracket Equations 2

This pack keeps the same bracket-equation idea but adds more moving parts. You will practise dealing with extra terms, letters on both sides, and brackets that need careful checking.

£3.50
See inside
Algebra 8 · Year 8

Factorising Basics

Find what every term shares, take it outside the bracket, put the leftovers inside, then check

£3.50
See inside

See all packs