Place Value Ordering

Overview

In this 2-hour lesson, students practise place value for whole numbers and decimals. They will use place value charts to read, write, order, and compare numbers of any size, building accuracy and confidence.

Learning intentions

• WALT represent whole numbers and decimals using place value charts.
• WALT read numbers accurately by place value (including decimals).
• WALT write numbers in expanded and standard form from a place value chart.
• WALT order and compare numbers, using correct number vocabulary.

Success criteria

• I can read a number from a place value chart (including the decimal part).
• I can write a number in standard form from a place value chart.
• I can order numbers correctly and explain which digit/place is most important.
• I can compare numbers using <, > and = and justify my answer using place value.

Curriculum links

• Developing mathematical reasoning through place value and number sense.
• Using appropriate mathematical language to describe and compare numbers.
• Applying procedural fluency by representing, reading, and writing numbers.
• Problem solving in real contexts by ordering and comparing numbers.

Lesson structure (120 minutes)

1. 0–10 Introduce the WALT + quick starter Show 3 number cards (whole number, decimal, and a mixed example such as 1,234.56). Students point to the correct place value columns on a class chart (units, tens, hundreds, tenths, hundredths).

2. 10–25 Model: represent numbers on place value charts Teacher models with one whole number and one decimal. Emphasise:

• Which digits go in each column
• What the decimal point means (the “separator” between whole and decimal parts)
• How the chart helps us avoid mistakes when numbers are large

3. 25–40 Guided practice 1: read and write from charts Students work in pairs with printed place value charts.

• Task A: Teacher shows a chart; students write the number in standard form.
• Task B: Teacher shows a number; students place digits into the chart (including the decimal part). Use short “stop and check” moments: What is the digit in the hundredths column?

4. 40–55 Active comparison: decide which is bigger On the board, display two numbers and a chart view. Students decide which is larger and hold up a comparison card (< or > or =) before explaining. Focus method: compare the most significant place first, then move right/left as needed.

5. 55–70 Order numbers (any size) using charts Set up a “Number Order Line” using 4–6 number cards (at least 2 decimals included). Groups place cards from smallest to largest, using place value charts to justify. Teacher prompts: “Look at the leftmost place where they differ.”

6. 70–80 Dyslexia-friendly consolidation break + recap Dyslexia-friendly reading option: provide an additional “highlighted” sheet where place value columns are clearly separated and numbers are in large print. Students choose 2 examples to read aloud and 2 to write back from the chart. Teacher quickly checks misconceptions: decimal digits placed in the wrong column.

7. 80–115 Main independent assessment (teacher supports as needed) Students complete a structured worksheet with three sections:

• Section 1: Read numbers from place value charts
• Section 2: Write numbers on charts (whole + decimals)
• Section 3: Order and compare (mix of any size and decimals) Mark in-process using a checklist aligned to the success criteria. Teacher circulates with targeted questions: “Which place value are you comparing first?” “How do you know?”

8. 115–120 Exit ticket + reflection Each student receives one chart with a decimal number. They must:

• Write the number in standard form
• Choose the correct comparison symbol for a second given number ( <, >, or = ) Collect for next-step planning.

Resources

• Place value charts (large class display and smaller student versions)
• Digit cards and decimal point cards (0–9 plus a decimal separator)
• Number cards for whole numbers and decimals (any size)
• Comparison symbol cards: <, >, =
• Ordered “Number Order Line” strips for groups
• Worksheets with three-part tasks (read, write, order/compare)
• Dyslexia-friendly consolidation sheets (large font, strong column separation)
• Highlighters or overlay templates to emphasise decimal places
• Teacher visual slides or board prompts showing worked examples

Assessment

• Ongoing teacher assessment during guided and group tasks using reasoning prompts (place compared first).
• Worksheet evidence: reading accuracy, chart-to-number writing accuracy, and correct ordering/comparison.
• Exit ticket to confirm decimal place reading and one comparison decision.

Differentiation

• Support (some students): Provide partially completed place value charts with digits pre-placed; students fill only remaining columns. Offer sentence stems: “The most important place is… so… is larger.”
• Support (SEN): Use tactile/support tools (digit cards to physically place digits). Provide a worked example “model card” on the desk for reference.
• Extension (advanced learners): Include problems where numbers share the same whole-number part but differ in decimal places; ask them to explain using “most significant differing place” and to create their own pair of numbers that compare in a specific way (e.g., 2 decimals exactly equal after rounding is not equal before rounding—if rounding is taught in class, otherwise keep to exact comparison only).
• EAL: Use bilingual-friendly visuals (place value columns labelled clearly). Allow oral explanations using simplified language and encourage pointing to columns while talking through the method.
• Dyslexia-friendly reading options: Offer large-print number cards, increased spacing in charts, and audio read-aloud of worksheet instructions by the teacher. Encourage using a ruler/overlay to track across columns.