Decimals Mastery

Learning Objectives

• NC Reference: Mathematics Programme of Study – Number: Decimals (Year 5)
• Read and write decimal numbers up to two decimal places
• Understand the place value of digits in decimal numbers up to 2 decimal places (tenths and hundredths)
• Compare and order decimals with up to two decimal places
• Recognise and use thousandths as part of progressive understanding (briefly referenced to develop context)

Curriculum Links

• Pupils should be taught to:
  • Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents (Maths KS2)
  • Read, write, order and compare numbers with up to three decimal places
  • Solve problems involving number up to 3 decimal places (focus here on 2dp)

---

Duration

30 minutes

---

Resources Needed

• Whiteboard and markers
• Place value charts (large, laminated for class use) showing units, tenths, hundredths
• Decimal cards for flash activities (0.1, 0.5, 0.75, etc.)
• Mini whiteboards and pens for each pupil
• Support sheet: “Understanding Decimals to 2dp” (includes visual diagrams)
• Number lines drawn on classroom floor or tape on tables
• Real-world decimal examples (e.g., money, measurements)

---

Lesson Structure

1. Introduction (5 minutes)

WALT: Understand decimals up to 2 decimal places.

• Begin with a quick discussion recalling place value: units, tens, hundreds.
• Draw place value chart with decimal columns: units | tenths | hundredths.
• Use visuals: Explain ‘tenths’ as dividing one whole into ten parts and ‘hundredths’ as 1/100 parts, showing circles shaded accordingly.
• Show examples of decimal numbers (e.g., 3.4, 2.75) and model how to read them: “three and seventy-five hundredths”.
• Link to real-life examples such as money (£3.75) and measurements (3.4m).

2. Main Activity (15 minutes)

Activity A: Place Value Sorting (7 mins)

• Pupils get sets of decimal cards.
• Task: Sort cards into two groups: one decimal place and two decimal places.
• On mini whiteboards, write down the place value of each digit in the decimals. For example, in 4.36, "4 = units, 3 = tenths, 6 = hundredths."
• Discuss answers collectively and clarify any misunderstandings.

Activity B: Ordering Decimals with Number Line (8 mins)

• Using the classroom floor/table tape number lines (0 to 5), pupils place their decimal cards in correct order.
• Encourage thinking aloud: “Is 3.4 less than or greater than 3.75?”
• Extend challenge by selecting decimals close in value (e.g., 4.09 vs 4.19).
• Pupils justify their reasoning using place value knowledge.

3. Plenary (5 minutes)

• Recap key points: reading decimals, place value, ordering decimals to 2dp.
• Quickfire questioning: Show a decimal on the whiteboard and ask, “What is the digit in the hundredths place?” or “Which number is bigger: 5.21 or 5.12?”
• Exit Ticket: Pupils write one decimal number with two decimal places and explain in one sentence what each digit represents.

---

Assessment and Feedback

• Formative assessment through mini whiteboard responses and sorting tasks to check understanding.
• Use observation during number line activity to identify misconceptions.
• Collect exit tickets to assess each pupil’s grasp of place value decimals up to 2dp. Provide verbal or written feedback next lesson focusing on common errors or extensions where appropriate.

---

Differentiation

• Support: Provide place value charts with clear visuals and sentence starters for less confident learners.
• Challenge: Ask more able pupils to explore decimal equivalents as fractions (e.g., 0.75 = ¾) or compare decimals with three decimal places briefly introduced.

---

Creative Extension Idea (Optional)

• Turn decimals into a “Decimal Detective” game: hide decimal cards around the classroom, pupils solve clues involving decimal place values and correct ordering to find all cards.
• This encourages movement, engagement, and consolidates learning.

---

Support Materials Summary

Material	Purpose
Place Value Chart (units-tenths-hundredths)	Visual reinforcement of decimal place value
Decimal Cards	Hands-on sorting and ordering activities
Mini Whiteboards & Pens	Individual practice and quick formative checks
Number Line (floor/tables)	Visual ordering tool to support decimal comparison
“Understanding Decimals to 2dp” Sheet	Clarifies decimal concepts with diagrams and examples

---

This lesson plan ensures compliance with the National Curriculum for England Year 5 mathematics requirements and provides an interactive, multi-sensory experience to deepen decimals understanding tailored to 9-10 year olds.