Place Value Kick-off

Overview

This lesson introduces (and diagnoses) Year 4 students’ understanding of place value by using interactive games to explore how digits represent thousands, hundreds, tens and ones, building a foundation for later decimals and estimating. It is lesson 1 of 10 in the unit, so the focus is engagement plus clear evidence of current understanding.

Learning intentions

• Students will recognise the value of digits in numbers up to 10,000.
• Students will model numbers using place value representations (expanded form and base-ten blocks).
• Students will explain how changing one digit changes the value of a number.
• Students will use place value language (thousand, hundred, ten, one) to justify answers in games.

Success criteria

• I can identify the value of each digit in a number up to 10,000.
• I can represent a number using base-ten materials and write its expanded form.
• I can compare two numbers and explain which digit is larger and why.
• I can use place value to correct mistakes (for example, 3,204 vs 3,240).

Curriculum links

• Number — place value (including conventions for naming and representing decimals later in the unit): recognise and extend application of place value to tenths and hundredths.
• Number — use place value partitioning and explain value of digits when working with numbers.
• Mathematical modelling — use materials/diagrams to connect a number to the situation (used here as modelling numbers with place value).

Lesson structure (60 minutes)

1. 0–5 min · Hook (game reveal). Teacher displays three cards on the board: 3,204; 3,240; 3,2040 (or an invalid version) and asks, “Which looks bigger and why?” Students respond in pairs, using any place value words they know; teacher listens for misconceptions (e.g., thinking 3,240 is smaller).

2. 5–15 min · Direct teach (digits to value). Teacher introduces a quick place value routine using base-ten blocks or place value chart: 3,204 = 3 thousands, 2 hundreds, 0 tens, 4 ones. Emphasise “what each digit means”. Students copy the model into a place value template and practise identifying digit values for one example shown by the teacher.

3. 15–30 min · Game 1: Digit Value Match (formative). Teacher explains rules: each student gets a set of digit value cards (e.g., “2 hundreds”, “0 tens”, “4 ones”) and a number card; they match and build the number with quick sketches on their workbook. Students work in pairs for one round, then individually for a second round; teacher circulates and notes accuracy, vocabulary use, and whether they confuse tens/hundreds.

4. 30–42 min · Whole-class interactive: Place Value Swap. On the board, teacher shows a starting number (e.g., 4,603). Teacher performs “swaps”: change the digit in the tens place (4,603 → 4,653) and asks, “What changed and by how much?” Students hold up one finger per place changed, then state the difference using place value language; teacher prompts with: “Which digit moved? What does it become?”

5. 42–55 min · Game 2: Expanded Form Relay. Students in small groups complete task cards: write expanded form for a given number and then swap one digit (e.g., replace the hundreds digit) to predict the new value. Students rotate roles (writer, checker, reporter). Teacher provides a sentence starter strip for support: “The digit __ is worth __ because it is in the __ place.”

6. 55–60 min · Exit ticket (quick check). Students complete a 3-question exit ticket independently:

• Q1: Write expanded form for 2,407
• Q2: What is the value of the digit 7 in 2,407?
• Q3: Which is larger: 5,109 or 5,901? Explain in one sentence. Teacher collects for next lesson grouping.

Resources

• Place value charts (up to 10,000) for board and desks
• Base-ten blocks or place value manipulatives (thousands/hundreds/tens/ones)
• Digit value card sets and number cards (laminated if possible)
• Game task cards for Expanded Form Relay
• Student workbook pages (place value template + expanded form practice)
• Marker pens, sticky notes or mini whiteboards
• Sentence starter strip (support) and challenge prompts (extension for fast finishers)
• Exit ticket slips

Assessment

• Formative during Game 1: teacher observation checklist (correct digit values; correct matching of place values; use of vocabulary).
• Formative during Place Value Swap: short oral explanations; teacher listens for “thousands/hundreds/tens/ones” connections and difference statements.
• Exit ticket: provides individual evidence to group students for subsequent lessons in the 10-lesson unit.

Differentiation

• Support for below average:
• Provide a partially completed place value chart and expanded form frames (e.g., __ thousands + __ hundreds + __ tens + __ ones).
• Use colour-coding on the place value chart (thousands, hundreds, tens, ones) and require students to point to the correct place before writing values.
• Sentence starters for explanations: “The digit __ means __ because it is in the __ place.”
• Smaller number range practice within up to 10,000 (fewer non-zero digits first).
• Extension for above average:
• Challenge: “Create a number where the digit 5 is worth 500. What must the hundreds digit be? What numbers also work?”
• “Find the mistake”: teacher shows two expanded forms for the same number with one error; students correct the error and explain.
• Predict-and-check prompts in Swap (ask for the new number and the increase/decrease amount).
• EAL considerations:
• Keep instructions short; model once before games.
• Use gesture and pointing to the place value chart; allow oral responses first, then written.
• Organisation:
• Pair students intentionally (mixed readiness) for Game 1 first round; second round individually for accurate assessment.

Notes for the teacher (unit fit)

This lesson sets up the unit’s place value foundation so later lessons can safely connect place value partitioning to larger numbers and the conventions of decimals (tenths and hundredths) in future lessons. The exit ticket data will guide grouping and targeted practice.