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Rounding Money

Maths • 30 • 25 students • Created with AI following Aligned with New Zealand Curriculum

Maths
30
25 students
6 July 2026

Teaching Instructions

This is lesson 3 of 6 in the unit "Mastering Money Matters". Lesson Title: Making Change: Rounding to Dollars Lesson Description: WALT: Round currency amounts to the nearest dollar. Success Criteria: Round given amounts accurately and explain the reasoning. Differentiation: Offer visual aids to support rounding rules. Extension: Challenge students with rounding larger sums.

Overview

In this lesson 3 of 6, students practise rounding money amounts to the nearest dollar using a hands-on approach. They learn to decide whether to round up or down based on the number of cents.

Learning intentions

  • WALT round currency amounts to the nearest dollar.
  • WALT explain the reasoning behind rounding decisions using money language (dollars and cents).
  • WALT use rounding strategies to make sensible estimates with money amounts.

Success criteria

  • I can round a given amount to the nearest dollar accurately.
  • I can explain whether I rounded up or down and why (based on cents).
  • I can use a number line or visual cue to check my rounding.
  • I can apply the rule correctly to a variety of amounts, including amounts with 0–99 cents.

Curriculum links

  • Number and algebra: understanding whole numbers, place value, and rounding strategies.
  • Measurement and money: using and interpreting amounts in everyday contexts (money).
  • Mathematical thinking and reasoning: justifying answers and explaining strategies.
  • Communication: using clear mathematical language to describe methods.

Lesson structure (30 minutes)

  1. 0–4 min: Hook with quick talk Show 3 price cards (for example: $6.20, $6.50, $6.75). Ask: “Which ones are closest to $6 and which are closest to $7?” Students turn-and-talk, then share one reason.

  2. 4–10 min: WALT model—hands-on rounding with cents Use real coins or paper “cents” discs (or place-value cards) to build amounts. Write an example: $8.34.

  • Point out dollars vs cents.
  • Teach the rule: look at the cents; if cents are 0–49, round down; if cents are 50–99, round up. Demonstrate with $8.50 rounding to $9 (round up) and $8.49 rounding to $8 (round down). Emphasise explaining: “The cents are 34, so it’s closer to 8 dollars.”
  1. 10–18 min: Guided practice in pairs (worksheets + check method) Give students 6–8 rounding questions to complete in pairs. Require:
  • Step 1: underline the cents.
  • Step 2: decide down or up.
  • Step 3: write the nearest dollar amount. Students then check using a small number line (0–10 dollars) or a teacher-provided rounding visual (a “<50 / ≥50” slider). Teacher circulates, listening for clear explanations.
  1. 18–24 min: Reasoning challenge—short explanations Display four “mystery” amounts and ask students to choose the rounded answer and write a 1–2 sentence explanation:
  • Example set: $12.01, $12.49, $12.50, $12.99 (students explain why two round differently). Do a quick class share of one correct explanation and one common misconception (for example, “50 rounds down” is wrong).
  1. 24–28 min: Quick formative check (exit round) Each student answers 2 questions on mini whiteboards: one that should round down and one that should round up. Teacher quickly scans for accuracy and whether reasoning mentions cents and the “closer to” idea.

  2. 28–30 min: Reflect and tidy Students state: “Today I learned to round money by…” and one thing that helps them decide up/down. Collect materials.

Resources

  • Coin manipulatives (or paper copies) for dollars and cents
  • Place-value cards or money “amount” cards (dollar part and cents part)
  • Mini whiteboards and markers
  • Number line posters (0–10 or 0–20 dollars) for visual checking
  • “<50 / ≥50” rounding visual slider or card
  • Short guided practice worksheet (6–8 items)
  • Exit ticket slips (2 rounding questions)
  • Answer key for teacher quick check
  • Timer for pair discussion and written reasoning

Assessment

  • Formative: teacher observation during paired practice, focusing on correct decision (up/down) and explanation using cents.
  • Formative: mini whiteboard exit check (accuracy plus brief reasoning).
  • Success criteria evidence: students can correctly round multiple amounts and articulate “because the cents are…” in their own words.

Differentiation

  • Support: provide a visual “cents to decision” card (<50 down, ≥50 up) and a partially completed worked example; offer sentence stems such as “I rounded down because…” and “I rounded up because…”.
  • Support: allow students to use number line checks with buddy support before finalising answers.
  • Extension: include larger sums and more contexts, such as rounding $132.45 and $987.50 to the nearest dollar, and encourage checking using estimation.
  • EAL/SEN: use consistent money vocabulary (dollars/cents/nearest) and model one verbal explanation repeatedly; provide bilingual support if available; reduce the number of questions while keeping the reasoning requirement.

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