length problem solving year 3

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Year 3 Length Word Problems

Length word problems (no conversion of units required).

Length word problems 2 (conversion of units required by MA and HA)

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Resources tagged with: Length/distance

There are 58 NRICH Mathematical resources connected to Length/distance , you may find related items under Measuring and calculating with units .

Car Journey

This practical activity involves measuring length/distance.

Can You Do it Too?

Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

Olympic Measures

These Olympic quantities have been jumbled up! Can you put them back together again?

Now and Then

Look at the changes in results on some of the athletics track events at the Olympic Games in 1908 and 1948. Compare the results for 2012.

Olympic Starters

Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

The Animals' Sports Day

One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

Place Your Orders

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

Discuss and Choose

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Order, Order!

Can you place these quantities in order from smallest to largest?

Speed-time Problems at the Olympics

Have you ever wondered what it would be like to race against Usain Bolt?

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

A Question of Scale

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

All in a Jumble

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

Sizing Them Up

Can you put these shapes in order of size? Start with the smallest.

Up and Across

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

How Far Does it Move?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Take Your Dog for a Walk

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

Rolling Around

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

Four on the Road

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

Uniform Units

Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?

Where Am I?

From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?

Lengthy Journeys

Investigate the different distances of these car journeys and find out how long they take.

Working with Dinosaurs

This article for teachers suggests ways in which dinosaurs can be a great context for discussing measurement.

Swimmers in opposite directions cross at 20m and at 30m from each end of a swimming pool. How long is the pool ?

Triangle Relations

What do these two triangles have in common? How are they related?

A Scale for the Solar System

The Earth is further from the Sun than Venus, but how much further? Twice as far? Ten times?

Flight Path

Use simple trigonometry to calculate the distance along the flight path from London to Sydney.

Chippy's Journeys

Chippy the Robot goes on journeys. How far and in what direction must he travel to get back to his base?

Can you prove that the sum of the distances of any point inside a square from its sides is always equal (half the perimeter)? Can you prove it to be true for a rectangle or a hexagon?

Measure for Measure

This article, written for students, looks at how some measuring units and devices were developed.

Eclipses of the Sun

Mathematics has allowed us now to measure lots of things about eclipses and so calculate exactly when they will happen, where they can be seen from, and what they will look like.

A paradox is a statement that seems to be both untrue and true at the same time. This article looks at a few examples and challenges you to investigate them for yourself.

How can the school caretaker be sure that the tree would miss the school buildings if it fell?

N Is a Number

N people visit their friends staying N kilometres along the coast. Some walk along the cliff path at N km an hour, the rest go by car. How long is the road?

The Dodecahedron Explained

What is the shortest distance through the middle of a dodecahedron between the centres of two opposite faces?

Do You Measure Up?

A game for two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.

Alice's mum needs to go to each child's house just once and then back home again. How many different routes are there? Use the information to find out how long each road is on the route she took.

The Hare and the Tortoise

In this version of the story of the hare and the tortoise, the race is 10 kilometres long. Can you work out how long the hare sleeps for using the information given?

A Flying Holiday

Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.

Watching the Wheels Go 'round and 'round

Use this information to work out whether the front or back wheel of this bicycle gets more wear and tear.

Nirmala and Riki live 9 kilometres away from the nearest market. They both want to arrive at the market at exactly noon. What time should each of them start riding their bikes?

Practice Run

Chandrika was practising a long distance run. Can you work out how long the race was from the information?

A Rod and a Pole

A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?

How many centimetres of rope will I need to make another mat just like the one I have here?

Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

On the Road

Four vehicles travelled on a road. What can you deduce from the times that they met?

Use your hand span to measure the distance around a tree trunk. If you ask a friend to try the same thing, how do the answers compare?

Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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Add Lengths Lesson

This Year 3 Add Lengths lesson covers the prior learning of solving one and two step problems involving lengths of the same metric unit, before moving onto the main skill of adding lengths that may require conversions.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objective Mathematics Year 3: (3M9b)  Add and subtract lengths (m/ cm/ mm)

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Lesson Slides

These lesson slides guides pupils through the prior learning of solving one and two step problems involving lengths of the same metric unit, before moving onto the main skill of add lengths. There are a number of questions to check pupils' understanding throughout.

Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

In this Add and Subtract Lengths Video Tutorial, Laura shows pupils how to calculate lengths in centimetres and metres. She uses key vocabulary including formal method and total.

1 Prior Learning

In this Four Operations with Lengths Video Tutorial, Katie demonstrates how to solve word problems involving length. She uses the terminology centimetres, total, different and times.

Interactive Activity

This Year 2 Four Operations with Lengths activity comprises questions to draw on pupils understanding of the four operations and apply their understanding to length.

2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

This Year 3 Add Lengths Game checks pupils’ understanding of adding lengths using mm, cm and m.

2 Reasoning & Problem Solving

This add lengths extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the add lengths lesson.

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of add lengths.

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Challenge Activity

This Year 3 Add Lengths Maths Challenge is designed to check pupils’ understanding of adding lengths in different units of measurement within a problem solving context.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Consolidation Pack

These Length and Perimeter worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 3 Spring Block 4.

Home Learning Pack

This Spring week 8 Maths pack contains varied fluency, reasoning and problem solving worksheets

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Differentiated Length Word Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

18 May 2019

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paigedennis2010

Empty reply does not make any sense for the end user

Thank you so much, this has saved me a lot of time this evening.

HarrietHB85

Absolutely brilliant. Will use for my Y6 class.<br />

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