Represent before calculating
Write the number in a useful form, check sign and place value, and only then choose the operation. A clear representation reduces mechanical errors.
KS3 Year 7 / Mathematics / Curriculum
Ratio, proportion and rates: structured theory, worked examples, answered practice, and a mastery checklist for KS3 Year 7.
Unit
The essential chapter ideas in a clear sequence before practice.
Write the number in a useful form, check sign and place value, and only then choose the operation. A clear representation reduces mechanical errors.
Fractions, decimals, percentages, ratios, and powers can describe the same quantity. Changing form is a solving tool, not a separate trick.
Estimate before and after the exact calculation. The sign, order of magnitude, and unit must agree with the problem context.
Mathematics
Follow the method step by step and check why every step is valid.
Calculate and simplify 5/35 + 7/35.
Mathematics
Start from the board specification and work topic by topic before full papers.
The structure follows the official textbook layout and is used to organise study.
The areas that usually create mistakes or need extra revision.
12/35
Before calculating, explain the key idea from “Simplifying ratios” and which conditions must be checked.
The answer should show not only which rule is used for “Simplifying ratios”, but also why it is valid here.
Ratio, proportion and rates
Try independently, use the hint if needed, then open the answer guide.
1. Explain the idea and give one correct foundation example for “Simplifying ratios”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Simplifying ratios”, shows equivalent steps, and includes a final check.
2. Solve an application and show every intermediate step for “Sharing in a ratio”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Sharing in a ratio”, shows equivalent steps, and includes a final check.
3. Compare a correct and an incorrect approach and justify the difference for “Direct proportion in tables”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Direct proportion in tables”, shows equivalent steps, and includes a final check.
4. Create a short exam-style question and check your answer for “Unitary method”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Unitary method”, shows equivalent steps, and includes a final check.
Where to start: textbook, daily material, PDFs, videos, and worked examples.
Targeted practice before full tests so coverage is clear.
How to measure progress in this chapter and when it enters a cumulative mock.
What to do after finishing the chapter and how it connects to the next unit.
Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.