Short Blocks

# Maths Year 5 Summer Decimals and Fractions

Each unit has everything you need to teach a set of related skills and concepts.

## Place value in 3-place decimals(suggested as 3 days)

### Planning and Activities

Day 1 Teaching
Write on the board 3.33. Discuss what each 3 represents. Write it on a place value grid to check.
Split the class into two groups. For each team, write on the board ☐.☐☐. Using number cards 0–9, teams take turns to choose, and then place a card in their number. The aim is to make largest number possible, then the smallest number.
Group Activities
-- Complete a short investigation to revisit 2-place decimals.

Day 2 Teaching
Display a place value chart and labels. Discuss the new ‘thousandths’ label. Ask children what happens to the digit 5 as each number is multiplied or divided by 10. Circle a number on each line and record the total of the circled numbers. Repeat, this time missing out a number on one or more rows.
Group Activities
-- Write place value additions to match numbers with three decimal places.
-- Write place value additions to match numbers with three decimal places. Derive missing numbers.

Day 3 Teaching
Show a place value grid on the IWB. Write 6.426 and read it together. Give four children number cards, e.g. 1, 2, 3 and 4 to show 1.234. They stand either side of another child holding a large decimal point. Now multiply the number by 10 and children move accordingly. Repeat to multiply and divide by 10 or 100.
Group Activities
Use the in-depth problem-solving investigation ‘Greater Than or Less Than?’ from NRICH as today’s group activity.
Or, use these activities:
-- Move digit cards on a place value grid to ×/÷ by 10 and 100.
-- Multiply and divide a number by 10, 100 and 1000. Divide capacities in ml to convert to litres.

### You Will Need

• Number cards 0–9
• Whiteboards and pens
• Place value chart (see resources)
• Place value chart labels (see resources)
• Place value grid (see resources)
• Large number cards 0–9
• Flipchart and pens
• Large sheets of paper

### Mental/Oral Maths Starters

Day 1
Count in steps of 0.01 (pre-requisite skills)

Day 2
Count in steps of 0.001 (pre-requisite skills)

Day 3
Convert between m and cm (pre-requisite skills)

### Worksheets

Day 1
Compare order and round numbers with 2 decimal places.

Day 2
Complete place value partitioning additions for numbers with 3 decimal places, e.g. 1.58 + 0.005 = ☐

Day 3
Work out the outputs for ×10, ÷10, ×100, ÷100, ×1000 and ÷1000 function machines.

### Mastery: Reasoning and Problem-Solving

• Write the next numbers in each sequence.
41, 4.1 ____ ____
0.009, 0.09 ____ ____
20, 2 ____ ____ ____
• Divide 65 by 10 repeatedly until you get a number that is less than 0.1. Write that number.
• True or false?
4.3 ÷ 100 = 0.43
109 = 1.009 × 100
0.005 × 100 = 0.5
71 ÷ 1000 = 0.0071
164 = 0.164 × 1000
804 ÷ 1000 = 0.084

In depth Investigation: Greater Than or Less Than?
Use numbers and symbols to make a number sentence correct. How many different ways can you find? Greater Than or Less Than? from nrich.maths.org.