Short Blocks

# Maths Year 6 Spring Decimals and Fractions (A)

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 4.735 and ask children what the 7, 3 and 5 represent. Agree they are tenths, hundredths, thousandths. Show this on a place value grid. After subtracting 0.005, check that they write 4.73 not 4.730. Emphasize that we only write 0 in thousandths place if there are digits after this. Children add and subtract multiples of 0.1, 0.01 and 0.001.
Group Activities
Use the in-depth problem-solving investigation ‘The Size and Distance of the Planets’ from UC Berkeley as today’s group activity.
Or, use these activities:
-- Add and subtract 0.1s. 0.01s and 0.001s, using a calculator to test predictions.
-- Add and subtract 0.1s. 0.01s and 0.001s from 3.457 to make target numbers.

Day 2 Teaching
Launch the ITP ‘Moving digits’. Use the cards to show 56. Click to multiply by 10 three times, saying multiply by 10, 100, 1000. Discuss how much we have multiplied by and what the effect on the digits is. Discuss the effect of dividing 2340 by 1000. Then multiply and divide other numbers by 10, 100 and 1000, monitoring the effect on the digits.
Group Activities
-- Sequentially multiply and divide a number by powers of 10 to arrive back at the starting number.
-- Divide four numbers by 100 and 1000, then order. Repeat for multiplying by 100 and 1000.

Day 3 Teaching
Show children a counting stick for 2–3. Count from 2 to 3 in steps of 0.1. Children draw a line 2.3–2.4 and mark a number with 2 decimal places. What does this round to? Repeat, for numbers with 3 decimal places.
Group Activities
-- Round numbers with 3 decimal places to the nearest whole kilogram.
-- Generate, then round numbers with 3 decimal places to the nearest whole, tenth and hundredth.

### You Will Need

• ITP: Moving digits
• Place value addition and subtraction (see resources)
• Mini-whiteboards and pens
• Calculators
• Flipchart and pens
• 0–9 digit cards
• Counting stick
• Dartboard rounding from www.topmarks.co.uk

### Mental/Oral Maths Starters

Day 1
Count in steps of 0.01 and 0.1 from numbers with 2 decimal places (pre-requisite skills)

Day 2
Place value in numbers with 3 decimal places (pre-requisite skills)

Day 3
Place numbers with 2 decimal places on a line (pre-requisite skills)

### Worksheets

Day 1
Use place value to add and subtract 0.1s, 0.01s and 0.001s.

Day 2
Multiply and divide masses/weights in kilograms by powers of 10.
Identify functions (×/÷ 10, 100 and 100).

Day 3
Mark numbers with 1, 2 and 3 decimal places on lines and round to the nearest whole.
Mark numbers with 1, 2 and 3 decimal places on lines and round to the nearest whole, tenth and hundredth.

### Mastery: Reasoning and Problem-Solving

• Identify the value of the ‘4’ in the following numbers:
(a) 3.407
(b) 4.821
(c) 0.043
(d) 5.104
(e) 48,739
• How many times must Dan multiply 0.048 by 10 to get 48,000?
• What number is one hundred times smaller than 0.4?
• Write three numbers, two with 3 digits and one with 4 digits, that round to 4 as the nearest whole number.

In-depth Investigation: The Size and Distance of the Planets
Children will manipulate big numbers to investigate the relative size and distance between planets. The Size and Distance of the Planets from cse.ssl.berkeley.edu.

### Extra Support

Deduce the Decimal
Understanding place value in numbers with 3 decimal places

Moving Digits
Multiplying and dividing by 10, 100 and 1000