ChalkHour

Year 7 Maths: Equivalent fractions lesson pack

A complete, ready-to-teach KS3 lesson on equivalent fractions. Below is a real sample of what ChalkHour makes: the full pack adds three levels of worksheet, model answers, a teaching explainer and print-ready PDF and Word files.

Get the full pack: start your 14-day trial

£20 today, the rest of your first month on day 14, only if you continue.

Real sample

Mastering Equivalent Fractions

This lesson focuses on understanding and calculating equivalent fractions. Students will learn that fractions representing the same proportion of a whole are equivalent, and they will master the 'golden rule' of fractions: whatever you do to the numerator, you must do to the denominator. The lesson covers scaling up (multiplication) and simplifying (division).

Learning objectives

  • Identify equivalent fractions using visual representations and number lines.
  • Find equivalent fractions by multiplying or dividing the numerator and denominator by the same non-zero number.
  • Simplify fractions to their simplest form using highest common factors.
  • Compare fractions by converting them to have a common denominator.

Lesson plan (60 minutes)

  1. Starter · 5 min

    Do Now: Quick recall of times tables and identifying factors of numbers up to 50.

  2. Introduction · 15 min

    Direct Instruction: Using the explainer script and worked example to define equivalence and the golden rule.

  3. Guided Practice · 10 min

    Guided Practice: Solving 'fill in the blank' equivalent fraction problems on mini-whiteboards.

  4. Independent Practice · 20 min

    Independent Practice: Differentiated worksheets (Support, Core, Stretch).

  5. Plenary · 8 min

    Assessment: 8-question multiple-choice quiz.

  6. Closure · 2 min

    Feedback: Quick self-marking of the quiz and pack away.

Key vocabulary

Equivalent
Fractions that have the same value, even though they look different.
Numerator
The top number in a fraction, representing how many parts we have.
Denominator
The bottom number in a fraction, representing how many parts the whole is divided into.
Simplify
To write a fraction using the smallest possible whole numbers.
Simplest Form
A fraction where the numerator and denominator have no common factors other than 1.

Core worksheet (first questions)

  1. Find an equivalent fraction for 3/4 with a denominator of 20.
  2. Find an equivalent fraction for 2/3 with a denominator of 18.
  3. Find an equivalent fraction for 3/5 with a numerator of 15.
  4. Simplify 10/15 to its simplest form.

Quiz (sample)

  1. 1. Which fraction is equivalent to 2/3?

    • A. 2/6
    • B. 4/6
    • C. 4/3
    • D. 2/9

  2. 2. Simplify 15/20 to its simplest form.

    • A. 3/4
    • B. 1/3
    • C. 1/4
    • D. 6/10

  3. 3. Find the missing value: 3/4 = ?/16

    • A. 6
    • B. 9
    • C. 10
    • D. 12

The full pack is waiting

Support and Stretch worksheets, every answer and model answer, the teaching explainer and common misconceptions, editable and ready to print as PDF or Word.

Start your 14-day trial

More Maths lesson packs