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Primary 5 Maths: Mixed Fraction Multiplication and Division — Tutor Lesson Plan
Separately they are fine; mixed together students lose the order and forget the flip. This lesson does one thing: turn every division into multiplication first.
01 Prerequisites (3-minute check)
If any of these fails, fix it before the lesson starts.
| Skill | Quick check | Pass mark |
|---|---|---|
| Multiplying fractions | 3/4 × 8/9 | 2/3, simplified first |
| Reciprocal | Reciprocal of 5/6 | 6/5 |
| Mixed to improper | 2 1/3 | 7/3 |
02 Lesson flow (45 minutes)
| Time | Stage | Tutor does | Student does |
|---|---|---|---|
| 0-5 min | Context | Ask: 3/4 kg used by 2/3, how much is left? | Estimate, then write the plan |
| 5-15 min | Chain | Show 2/3 × 4/5 ÷ 8/15 rewritten as all multiplication | Copy the rewrite |
| 15-25 min | Brackets | Show 2/3 × (3/4 ÷ 1/2) | Try one similar question |
| 25-35 min | Practice | Set the three questions in section 05 | Work alone |
| 35-42 min | Fix errors | Board the order mistake | Name their own error |
| 42-45 min | Exit check | Three questions, marked at once | Finish alone |
03 Teaching script (read it out)
Scene 1: Division cannot move
Multiply and divide are worked left to right, one step at a time.
Repeat: “Left to right; the division cannot jump.”
Scene 2: Rewrite everything as multiplication
Then simplify once and multiply.
Student writes the full rewrite before touching the numbers.
Scene 3: Brackets and mixed numbers first
Any mixed number becomes an improper fraction before anything else.
Remind: finish inside the brackets, then multiply outwards.
04 Question types and worked steps
| Type | Example | Steps | Answer |
|---|---|---|---|
| Chain | 2/3 × 4/5 ÷ 8/15 | All multiplication, simplify once | 1 |
| Brackets | 2/3 × (3/4 ÷ 1/2) | Brackets first | 1 |
| Mixed numbers | 1 1/2 × 2/5 ÷ 3/4 | 3/2 × 2/5 = 3/5, then × 4/3 | 4/5 |
05 Independent practice (3 questions)
| Question | Answer | What to watch |
|---|---|---|
| 2/3 × 4/5 ÷ 8/15 | 1 | Were all divisions rewritten? |
| 3/4 ÷ 9/8 × 2/3 | 4/9 | Left-to-right order |
| (1 1/2 × 2/5) ÷ 3/4 | 4/5 | Brackets and mixed numbers handled |
06 Common mistakes and what to say
| Mistake | Student writes | Say this |
|---|---|---|
| No flip | 2/3 × 4/5 × 8/15 | Only the fraction after the sign flips. |
| Wrong order | doing the division first | Left to right, every time. |
| Brackets ignored | 2/3 × 3/4 ÷ 1/2 | Brackets have priority. |
| Simplifying across terms | cancelling 2 with 8 in different fractions | Cancel within one fraction, or across the multiplication line. |
07 Homework (paper, section and question numbers)
- Primary 5 first-term paper — Section A, questions 1 to 6
- Primary 5 second-term paper — Section A, questions 1 to 4
08 Exit check (last 5 minutes)
| Question | Answer | Decision |
|---|---|---|
| 5/6 × 3/10 ÷ 1/4 | 1 | All right: move to word problems |
| 7/8 ÷ 7/16 | 2 | One wrong: 5-minute flip drill |
| 2/3 × (3/4 ÷ 1/2) | 1 | Two wrong: repeat scene 2 |
09 Tutor FAQ
Must every step be rewritten?
Yes in this unit. One line of multiplication allows one simplification and cuts errors sharply.
Can I skip the prerequisite check?
No. Most errors come from simplifying and flipping, not from multiplication.
Which word problems?
Only “used a fraction of it” here; the rest belongs to the fraction word-problem lesson.
A TutorZone lesson-prep guide. Written by the TutorZone team; questions and lesson flow are original and are not taken from any school or publisher material.
