Split Savings

Overview

Today students will practice finding whole-number quotients using money-related situations. They will connect place value and repeated groups (arrays/area models) to explain division, aligned to Grade 5 strategies for whole-number division.

Learning intentions

• Students will be able to find the quotient in a money scenario by grouping into equal shares.
• Students will be able to use place-value reasoning (tens/ones) to solve whole-number division.
• Students will be able to show the division as an equation and represent it with an array or area model.
• Students will be able to explain their thinking using multiplication and division relationships.

Success criteria

• I can write an equation for a division problem about money.
• I can find the number of equal groups (the quotient) in a real-life money situation.
• I can represent the situation with an array/area model that matches my equation.
• I can check my work by using multiplication (quotient × divisor = dividend).

Curriculum links

• Number and Operations in Base Ten — division with place-value and models for whole-number quotients (dividend up to four digits, divisor two digits)
• Number and Operations in Base Ten — understanding place value relationships in multi-digit numbers
• Number and Operations in Base Ten — using the relationship between multiplication and division to explain quotient calculations

Lesson structure (60 minutes)

1. 0–5 min · Warm-up money facts. Teacher displays 3 quick prompts (large print) such as: “$48, share equally by 6. How many in each share?” Students answer using “times table thinking” with teacher support.

2. 5–12 min · Direct teach: connect division and multiplication. Teacher explains: “Division tells how many in each group when we split equally,” then shows a matching multiplication statement (example: 48 ÷ 6 = 8 because 8 × 6 = 48). Students repeat the pattern with a single guided example.

3. 12–25 min · Worked example with an area model (teacher-led). Teacher chooses a money scenario with supports and clear digits, such as: “You have $48. You want to place equal amounts into 6 envelopes. How much is in each envelope?”

• Teacher draws an area model: 48 cents shown as 4 tens bars plus 8 ones circles, grouped into 6 equal groups.
• Teacher labels groups and writes the equation: 48 ÷ 6 = 8. Students track the model and echo the steps: “Equal groups… count per group… quotient is 8.”

4. 25–40 min · Guided practice: simple digit money splits (3 problems). Teacher provides three problems on cards (same structure each time):

• Problem A: “$72 split equally into 8 bags.”
• Problem B: “$90 split equally into 10 boxes.”
• Problem C: “$96 split equally into 12 cups.” Teacher prompts:
• “What is the dividend?” “What is the divisor?” “What is the quotient?” Students solve with teacher-provided scratch area models or partially drawn arrays, then write the equation beside the model.

5. 40–52 min · Independent/partner practice: choose representation. Teacher sets up a station with two options:

• Option 1: Draw a simple array/area model.
• Option 2: Use an equation check by multiplication first, then match it to a quick sketch. Students work through two new money scenarios (teacher selects appropriate difficulty based on student performance), such as:
• “$84 split equally into 7 wallets.”
• “$120 split equally into 12 pencil packs.” Students must produce: (1) an equation, (2) a representation, and (3) a quick check: quotient × divisor.

6. 52–60 min · Exit ticket: one scenario + explanation sentence. Teacher gives one final prompt: “$66 split equally into 6 share bags. How much in each bag? Write an equation and check it.” Students complete the equation and a one-sentence explanation template: “I know because ___ × ___ = ___.”

Resources

• Large-print problem cards with money icons (dollar and cents)
• Grid paper or whiteboards for quick arrays/area models
• Counters (10-cents and 1-cent chips) or base-ten blocks
• Pre-drawn area model templates (rectangles divided into equal rows/columns)
• Multiplication check strip (divisor × 1 up to divisor × 10 as needed)
• Timer (visual) for transitions
• Calculator (optional) only for checking after equation is written (teacher-controlled)

Assessment

• Teacher observes during guided practice: correct identification of dividend/divisor/quotient and accurate grouping on the model.
• Check students’ equations and whether they correctly verify with multiplication (quotient × divisor = dividend).
• Exit ticket: equation accuracy plus correct multiplication check; use the sentence template for explanation.

Differentiation

• Support: Provide consistent sentence frames (“Dividend is… Divisor is… Quotient is…”) and partially completed area models.
• Support: Use counters/base-ten blocks for cents and emphasize “equal groups” visually before writing the quotient.
• Extension (only if ready): Add a second representation requirement (array AND area model) for one problem, or include a scenario with a two-digit divisor (within four-digit dividend).
• EAL/SEN: Keep numbers the same structure each day (dividend as dollars/cents with clear digits), limit wordiness, and allow pointing to model parts instead of long verbal explanations.