Find a gradient
- Find vertical change.
- Find horizontal change.
- Divide vertical by horizontal.
Answer: Rise 4, run 2 gives gradient 2
๐ฅ Algebra
Gradients
Learn gradients with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Gradients is part of graphs and appears often in KS3โGCSE maths.
- Gradient measures steepness: rise divided by run.
- Use the worked model, help guide, interactive question and flashcards to practise gradients until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Gradients learning map
Understand the key idea โ follow the help guide โ practise a question โ check your method โ build speed with flashcards.
3. Help guide
How to tackle Gradients
- Learn the rule: Gradient measures steepness: rise divided by run.
- Worked model: Find vertical change. Find horizontal change. Divide vertical by horizontal.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Find the gradient between (0, 1) and (2, 7).
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Gradients
BackGradient measures steepness: rise divided by run.
FrontExample answer: Find the gradient between (0, 1) and (2, 7).
Back(7 - 1) รท (2 - 0) = 6 รท 2 = 3.
FrontCommon check for Gradients
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.