# Maths Year 5 Spring Decimals and Fractions

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

## Place value in decimals; rounding(suggested as 3 days)

### Planning and Activities

Day 1 Teaching
Revise place value, quizzing children about the digits in 4.03. Find 4.03 + 0.7. Rehearse writing 2-place decimal numbers. Use place value additions to emphasise the value of each digit, e.g. start with 4.56, add one hundredth, then add two tenths, subtract one whole, subtract four hundredths, subtract four tenths. Ask children to show you the new number each time.
Group Activities
Use the in-depth problem-solving investigation ‘Spiralling Decimals’ from NRICH as today’s group activity.
Or, use these activities:
-- Use place value to add and subtract numbers with two decimal places, one calculation at a time or in longer chains.

Day 2 Teaching
Use the place value grid on the ITP Moving digits to show the effect of multiplying and dividing by 10, 100 and 1000. The digits move to the left when multiplying and to the right when dividing. Emphasise that the decimal point does not move.
Group Activities
-- Explore decimal place value and number order when multiplying and dividing by 10, 100 and 1000.

Day 3 Teaching
Show children a counting stick. Say that one end represents 2; the other 3. Use this to demonstrate that we can round 1-place decimals to the nearest whole number, e.g. we round 2.4 to 2 and 2.7 to 3. Write some 2-place decimals between 2.3 and 2.4 and round these to the nearest tenth, then to the nearest whole number. Probe understanding of rounding: Write a number less than 6 with two decimal places that rounds up to 6, etc.
Group Activities
-- Explore rounding 2-place decimals marked on number lines, or while playing Bingo.

### You Will Need

• Place value grid 10–0.01 (see resources)
• Number cards 0–9
• Flipchart
• Whiteboards and pens
• A4 paper for each child
• ITP: Moving digits
• 3-digit number cards (see resources)
• Place value stars image (see resources)
• Place value dice
• × and ÷ starting numbers (see resources)
• Counting stick

### Mental/Oral Maths Starters

Day 1
1-place decimals (pre-requisite skills)

Suggested for Day 2
Adding to the next whole number from a 1-place decimal number (simmering skills)

Suggested for Day 3
Difference between negative numbers (simmering skills)

### Worksheets

Day 1
Place value additions and subtraction; add and subtract 0.1 and 0.01 and multiples of 0.1 and 0.01.

Day 2
Multiply and divide by 10 and 100.
Multiply and divide by 10, 100 and 1000.

Day 3
Round decimals to the nearest whole number.
Round decimals to the nearest tenth and whole number.

### Mastery: Reasoning and Problem-Solving

• Divide 47,310 by 10 repeatedly until you get a number that is less than 100. Write that number.
• Write the next two numbers in each sequence.
0.41 4.1 ____ ____
2.05 20.5 ____ ____
43020 4302 ____ ____
• True or false?
4030 ÷ 100 = 43
1.09 × 100 = 190
0.09 × 10 = 0.9
7000 ÷ 1000 = 0.7
• Rounding to nearest tenth
Tick (a) or (b)
(a) 20.07 → 20
(b) 20.07 → 20.1
Rounding to nearest whole number
(a) 20.09 → 21
(b) 20.09 → 20

In-depth investigation: Spiralling Decimals
Take turns to place a decimal number on a spiral number line. Spiralling Decimals from nrich.maths.org.

### Extra Support

Left or Right?
Multiplying numbers with one decimal place by 10 and dividing 2-digit whole numbers by 10

Left, Left or Right, Right?
Understanding place value in numbers with two decimal places;
Beginning to multiply numbers with two decimal places by 100 and divide 3-digit numbers by 100