Place Value Showcase

Overview

This 20-minute consolidation session gives the student an opportunity to demonstrate learning from the place value and number structure unit. Through building, explaining and recording numbers, the teacher gathers evidence of understanding and identifies the next teaching step.

Learning intentions

• WALT represent whole numbers and decimals using place value.
• WALT partition numbers in more than one way.
• WALT explain how the position of a digit affects its value.
• WALT use mathematical language to justify our thinking.

Success criteria

• I can build and read a number accurately.
• I can show a number in standard, expanded and word form.
• I can explain the value of a selected digit.
• I can check whether my representation is reasonable.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that deepen understanding.
• Mathematics and Statistics — Mathsteasers / Alignment: challenge connected to familiar number and place-value learning.
• Mathematics and Statistics — Mathsteasers / Additional resources for advanced learners: reasoning, explanation and challenge.
• Mathematical processes and competencies: communicating, reasoning, representing and using mathematical language.

Lesson structure (20 minutes)

1. 0–3 min · Recall and confidence check. Open with the hook and learning intention slides and ask: “How can the same digit have different values in different places?” The student gives an example, explains their thinking orally, and identifies one part of place value they feel confident about.

2. 3–7 min · Build a number. Provide the Standard Form Place Value Slider and ask the student to make 4,070,305.6. Use the place-value visual and worked-example slide to prompt the student to read the number aloud, identify the value of the 7, 3 and 6, and explain the role of the zeroes. The teacher listens without correcting immediately, recording any misconceptions.

3. 7–12 min · Represent and partition. Distribute the place-value showcase worksheet. The student records the number in standard, word and expanded form, then partitions it in a second valid way, such as 4,000,000 + 70,000 + 300 + 5 + 0.6 and 4,070,000 + 305.6. Refer to the representation prompts and ask, “How do you know both partitions have the same value?”

4. 12–16 min · Reasoning challenge. Show the error-analysis and challenge slide: “A student says the 7 in 4,070,305.6 is worth 7,000. Are they correct? Explain.” The student decides, corrects the statement if needed, and gives a written or oral justification. Follow with: “What happens to the value of the 3 if it moves one place to the left? What if it moves one place to the right?”

5. 16–20 min · Student-led wrap-up and evidence. Use the reflection and plenary slide. The student chooses one completed example from the worksheet and teaches it back to the teacher, explaining each digit’s value and how the representation proves the answer. Finish with the prompt: “One thing I now understand is… One thing I still need to practise is…” Record the response and agree on the next small learning goal.

Resources

• the complete place-value consolidation slide deck
• the place-value showcase worksheet
• the Standard Form Place Value Slider
• Pencil, eraser and highlighter
• Place-value vocabulary prompt card or word bank
• Teacher observation notes

Assessment

• Observe whether the student positions digits correctly, reads the number accurately and distinguishes the value of a digit from the digit itself.
• Check the worksheet for correct standard, word and expanded forms, including the decimal part and meaningful zeroes.
• Use the final explanation as a quick formative assessment. Note whether the student can justify equivalence and identify their next learning need.

Differentiation

• For support, begin with a smaller number, cover unused columns on the slider, and build towards the target number one place at a time. Provide the sentence frames: “The digit __ is in the __ place, so its value is __” and “I know this because…”
• Offer dyslexia-friendly access: read all instructions aloud, use a clear sans-serif font, generous spacing, short lines, uncluttered boxes and colour-coded place-value columns. Accept oral explanations instead of requiring every explanation to be written.
• For a student working below expectation, use concrete digit cards or the slider before recording, and check one representation at a time. Revisit thousands, hundreds, tens and ones before extending to decimals.
• For an advanced learner, ask them to create a different number with the same digit value in two places, or to prove why moving a digit one place left makes its value ten times greater.