Real-World Multiplication

Overview

In this lesson you will use times tables to solve short word problems, focusing on choosing the correct operation and interpreting the answer in context. This builds on earlier work in the unit “Mastering Times Tables” by turning multiplication facts into practical solutions.

Learning intentions

WALT: Apply multiplication facts in real-life scenarios to solve word problems accurately.

Students will:

• use known multiplication facts (times tables) to solve word problems
• identify the operation needed (multiplication vs. addition) from the scenario
• represent the situation using a simple number sentence
• check that answers make sense in context

Success criteria

Students can:

• solve at least 3 word problems correctly using times tables
• write a correct number sentence for each problem
• explain how the multiplication fact links to the real-life situation
• give an answer that matches the context (units, reasonableness)

Curriculum links

• Mathematics — Number and Algebra (Year 10 level) includes applying arithmetic and algebraic thinking to solve problems and interpret results in context.
• Focus is on accurate multiplication fact recall and application to practical scenarios (continued development of problem-solving fluency and reasoning).
• Uses mathematical modelling in a simple form: translating a real situation into a numerical model and interpreting the result.

Lesson structure (30 minutes)

1. 0–4 min · Warm-up retrieval Teacher writes 6 quick multiplication facts on paper/whiteboard (e.g., 6×7, 8×5, 9×4, 12×3, 5×9, 7×6) and asks the student to answer orally first, then check by writing the fact. Student answers quickly and then records the six products neatly.

2. 4–9 min · Mini-lesson: turning words into maths Teacher shows 2 examples and models the translation:

• Example A: “A bus has 4 seats across. How many seats in 7 rows?” → multiply 4 × 7.
• Example B: “You buy 3 packs. Each pack has 6 stickers.” → multiply 3 × 6. Teacher prompts: “What is repeated groups? What is the ‘number in each group’? What is the ‘number of groups’?” Student identifies the repeated group, states the multiplication sentence, and calculates.

3. 9–20 min · Guided practice: word problem set (3 problems) Teacher gives Problem Set 1 (three problems) one at a time; after each problem, teacher checks the number sentence and units. Student solves each problem using a times table, writes the number sentence, and gives the final answer with a unit.

Suggested Problem Set 1 (choose one set to match the student’s known range; keep the numbers within easy multiplication facts):

• Problem 1 (arrays/groups): “There are 8 students in each team. How many students in 6 teams?”
• Problem 2 (money): “A meal costs $7. How much for 5 meals?”
• Problem 3 (items): “You collect 9 cards each week. How many cards after 4 weeks?”

Teacher moves using checks:

• “What multiplication fact did you use?”
• “Does your answer seem too big or too small?”
• “What unit should be in the answer?”

4. 20–26 min · Independent task: Word problems (extra 2 problems) Teacher provides Problem Set 2 (two additional problems). Student attempts without help first, then uses a quick self-check. Student completes both problems, then checks each by estimating (e.g., 7×5 is about 35).

Suggested Problem Set 2:

• Problem 4 (time/units): “A phone charger uses 2 metres of cable per setup. How many metres for 9 setups?”
• Problem 5 (repeat addition to multiplication): “You are making friendship bracelets. Each bracelet needs 5 beads. How many beads for 8 bracelets?”

5. 26–29 min · Whole-task reflection and correction Teacher reviews the student’s work: one success, one improvement target (e.g., “Look for groups” or “Write the number sentence first”). Student explains one solved problem in words and corrects any error.

6. 29–30 min · Exit ticket Teacher asks for one final response on paper:

• “Write a number sentence and solve: ‘You pack 6 towels per load. How many towels in 7 loads?’” Student submits the multiplication sentence and final answer.

Resources

• Worksheet or printed page with 5 word problems split into sets
• Pencil, eraser, and paper for number sentences
• Timer (phone or kitchen timer)
• Optional: multiplication fact grid (for quick reference)
• Optional: counters or small paper circles to model groups (for one problem if needed)

Assessment

• Ongoing teacher observation during Warm-up and Guided practice (accuracy of products and use of the correct multiplication fact)
• Check after each guided word problem: student writes a correct number sentence and provides a contextual answer (units)
• Exit ticket (1 problem) to confirm the success criteria: at least 3 correct word problems overall and one independent check at the end

Differentiation

• Support: Provide a sentence frame for students to use:
• “There are ___ in each group and ___ groups, so I multiply ___ × ___.”
• Support: Allow use of a multiplication fact grid during Problem Set 1, then reduce reliance during Problem Set 2.
• Extension (if fast and accurate): Add a “choose the best strategy” prompt:
• “Could you solve this by doubling/halving facts? Show your method.”
• SEN/EAL considerations: Read problems aloud, emphasise key words (each, per, groups, rows, packs), and encourage the student to restate the problem before solving.

Success criteria summary check

By the end of the lesson, the student will correctly solve at least 3 word problems using times tables, including writing the matching number sentence and giving a sensible answer in context.