# Maths Year 3/4 Spring Measures

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

First time using Hamilton Maths?

The PowerPoint incorporates step-by-step teaching, key questions, an in-depth mastery investigation, problem-solving and reasoning questions - in short, everything you need to get started.

All the other resources are there to support as-and-when required. Explore at your leisure - and remember that we are always here to answer your questions.

## Unit 1 Length and data (suggested as 3 days)

### Objectives

Length and data
Unit 1: ID# 34556

Y3: Length and bar charts
Y4: Length and bar charts

National Curriculum
Y3: Meas (i), Stats (i)
Y4: Meas (i) (iv), Stats (i)

Y3 Hamilton Objectives
28. Measure, compare, add and subtract lengths.
29. Know that there are 100cm in a metre and that there are 10mm in a centimetre.
30. Use a ruler to measure lines.
36. Interpret and represent data on scaled bar charts and tables; solve problems using these.

Y4 Hamilton Objectives
33. Convert between units of measurement, e.g. cm to m.
36. Estimate, compare and calculate different measures.
38. Interpret and present discrete data using bar charts, pictograms and tables, and continuous data on time graphs. Answer questions about data.

### Planning and Activities

Day 1 Teaching
Show a metre stick. Use this to estimate the heights of outlines of people. Measure one of the outlines and model how we record this, e.g. 134cm is 1 metre and 34cm (Y3) or 1.34m (Y4).
Group Activities: T with Y4
Y3 -- Measuring heights using cm. Convert to m and cm.
Y4 -- Convert height measurements from cm to m and cm, and distances from m to km.
Day 2 Teaching
Measure our feet in cm. Discuss the need for a smaller unit. Demonstrate how to use mm for accuracy. Convert mm to cm and mm (Y3) and to cm only (Y4).
Whole Class Activity: T to Circulate
-- Are both our feet the same size? Measuring feet in mm and comparing. Convert to cm and mm (Y3) or cm only (Y4).
Day 3 Teaching
Today children will carry out their own measuring investigations (length). They can choose what their investigation will be about but it must be simple and answer a question. Give some examples and model using a bar chart to display findings.
Whole Class Activity: T to Circulate
Use the ‘Hands and Fingers’ in-depth problem-solving investigation below as today’s group activity.
Or, use the investigation below:
-- Measuring investigation and data presentation.

### You Will Need

• People outlines
• Metre sticks
• Height recording table (see resources)
• Tape measures
• Recording table (see resources)
• Blank cards
• Sticky tack
• Rulers marked in millimetres
• Are both our feet the same size? Sheets 1 and 2 (see resources)
• Toys
• Books
• Squared paper background on the IWB
• cm² paper

### Short Mental Workouts

Day 1
Choose units of measurement

Day 2
Convert units of measurement

Day 3
Mark 1/10s or 0.1s on a line

### Procedural Fluency

Day 1
Y3: Convert from centimetres to metres and centimetres. Compare heights.
Y4: Convert measurements from centimetres to metres and vice-versa.

Day 2
Y3: Measure and compare colouring pencils in millimetres, convert to centimetres and millimetres.
Y4: Measure lines in millimetres. Convert them to centimetres and millimetres/ decimals.

Day 3
Y3/ Y4: Pick a unit of length: suggest items and measure in specific units.

### Mastery: Reasoning and Problem-Solving

Y3

• Draw a wiggly line of about 10cm in length. Use a piece of damp string to help you measure it accurately. Write its length in cm and mm. Repeat this trying to draw a wiggly line of exactly 10cm.
• True or false?
10 lots of 100mm is the same as 1 metre.
Half a centimetre is 50mm.
There are 200mm in 20cm.
5 metres is longer than 5000mm.
The average domestic cat is about 40cm, tip of nose to end of tail.

Y4

• Look at these lengths. Estimate their accuracy. Tick if they look correct.
Car length: 4.5m
Cat, nose to tail: 0.42m
Mobile phone: 15mm
Wax crayon 100mm
Teaspoon: 200cm
• Write the missing numbers or units.
3.4cm = ☐mm
☐cm = 2.35m
10m = 1000☐
129mm = ☐cm
3400mm = 3.4☐

In-depth investigation: Hands and Fingers
Children test a theory finding and using accurate measurements to the nearest half centimetre.
Y3/4 spring week 4
Or, use the whole class investigation on Day 3

### Extra Support

Y3: Old Measures
Measuring lengths in centimetres and finding the difference between 2 lengths by counting up

Y4: Expert Estimates
Estimating in metres and centimetres

## Unit 2 Weight and data (suggested as 2 days)

### Objectives

Weight and data
Unit 2: ID# 34572

Y3: Measure weights; use bar charts.
Y4: Measure weights; use bar charts.

National Curriculum
Y3: Meas (i), Stats (i)
Y4: Meas (i) (iv), Stats (i)

Y3 Hamilton Objectives
28. Measure, compare, add and subtract weights.
36. Interpret and represent data on scaled bar charts and tables; solve problems using these.

Y4 Hamilton Objectives
33. Convert between units of measurement, e.g. kilograms to grams.
36. Estimate, compare and calculate different measures.
38. Interpret and present discrete data using bar charts, pictograms and tables, and continuous data on time graphs. Answer questions about data.

### Planning and Activities

Day 1 Teaching
Pass round a 1kg bag of flour, and then a kg weight so that children can feel how heavy this is. Then have 2 hoops (<1kg and >1kg), children place object in correct hoop.
Further Teaching with Y4
Use the class scales to weigh items > 1kg. Record, e.g. 1kg and 300g = 1300g = 1.3kg.
Group Activities: T with Y4
Y3 -- Adding fruit weights to make 1kg.
Y4 -- Weigh food items in grams and convert weights to kilograms, and vice versa.
Day 2 Teaching
Have a 1kg bag of flour and a 100g apple. Children pass round different objects and estimate their weights in relation to flour and apples. Use data to create a bar chart. Estimate then weigh a bag of groceries (around 2kg) and a full P.E. bag (less than 1kg). Record in 3 ways: 2kg and 300g, 2.3kg and 2300g.
Group Activities: T with Y3
Use the ‘Yucky Food’ or ‘Pencil Power’ investigations below as today’s group activity.
Or, use these activities:
Y3 -- Weighing objects and creating bar charts.
Y4 -- Use scales to find and compare weights in grams and kilograms; display these on a bar chart.

### You Will Need

• 1kg bag of flour
• A small apple
• 2 hoops
• ITP: Measuring Scales
• Weighing scales
• 1kg Sack picture (see resources)
• Fruit images (see resources)
• A selection of items to weigh
• Cards for shop signs
• Blank bar chart (see resources)
• 6 toys
• Large piece of squared paper
• 1kg weights
• cm² paper

### Short Mental Workouts

Day 1
Place numbers on empty number lines

Day 2
Compare pairs of 3-digit numbers

### Procedural Fluency

Day 1
Y3: Convert weights from kg to g. Calculate numbers of portions, given portion weights.
Y4: Convert weights from grams to kilograms and vice-versa.

Day 2
Y3: Create a bar chart using given weight data, or data from the lesson.
Y4: Compare and order weights in grams and kilograms.

### Mastery: Reasoning and Problem-Solving

Y3

• How can you find the weight of 1 plastic cube? Hint: you may need scales and more than 1 cube!
• True or false?
Ten lots of 100g is the same as 1 kilogram.
There are twenty 50gram weights in 1 kilogram.
The average domestic cat probably weighs around 4Kg.
• How would you establish that a single crisp usually weighs 2 or 3 grams without using a scale or weighing it on its own?

Y4

• True or false?
350g is the same as 1kg and 35g.
1199mm is the same as 1.199m.
23.4cm is the same as 234mm.
72g is the same as 0.72kg
• Look at the mass/weight of these items. Estimate their accuracy. Tick if they look correct.
Large dictionary: 2.1kg
An apple: 500g
Mobile phone: 0.02g
Pair of wellies: 400g
Teaspoon: 0.2kg
• Convert each measurement to kilograms
(a) 2500g
(b) 1090g
(c) 575g

Y3 In-depth investigation: Yucky Food
Children use the skills of recording and analysing data to work out which food the class hate most!

Y4 In-depth investigation: Pencil Power
Children use larger weights and numbers to find an accurate weight of 1 pencil. Collect data on a bar graph.

### Extra Support

Y3: Mystery Parcels
Weighing objects to the nearest 100g

Y4: In the Balance
Continue to practise weighing objects and reading from different scales