Multiplicative Thinking Foundations
This pack is about one big idea: some changes add an amount, and some changes multiply. Ratio and proportion are built on the second kind, so we start here, slowly, with lots of pictures.
Without Panic Maths · Ratio 8
The same split, said two ways
What this pack does
A ratio compares one part with another part. A fraction compares a part with the whole. This pack shows how to move between them, how to avoid the most common trap, and how to write one quantity as a fraction of another.
Inside every pack
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.
Each topic is split into small steps. Every mini-lesson opens with one big idea and a short, plain-English explanation.
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.
Every method is modelled step by step before pupils try it, with each stage labelled so they can follow it on their own.
Questions start with prompts (what do you need to find, follow the example, check it makes sense) and gradually ask for more independence.
Common mistakes are named before pupils make them, and Mistake Detective questions ask them to find and fix errors.
Short 'explain it in your own words' prompts check that pupils understand why the maths works, not just how.
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 ratio and proportion packs
This pack is about one big idea: some changes add an amount, and some changes multiply. Ratio and proportion are built on the second kind, so we start here, slowly, with lots of pictures.
Scaling means making a bigger or smaller copy where everything changes by the same multiplier. You will scale shapes, recipes and everyday amounts, and learn to tell whether to multiply or divide.
A ratio compares amounts: "for every 2 of these, there are 3 of those". This pack builds that idea with counters, pictures and ratio bars before you worry about rules.