cambridge primary mathematics learners book sample pack

Cambridge PrimarY Mathematics Learner’s Book Samples

Booklet

Our missionWe further the mission of the University of Cambridge by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.

We valueTo progress towards our mission, our strategy has five main elements:

• High standards of learning and scholarship

• Delivering for our customers and authors

• Creativity and innovation

• Integrity, personal and financial responsibility

• Collaboration and openness.

Achievement through excellenceWe at Cambridge University Press International Education are driven by a simple imperative: to work alongside educators and learners to provide individuals with accessible, inspirational learning resources that lead them to a lifetime of achievement. We are proud to share the gold-standard tradition and contemporary relevance of the University of Cambridge. For us, academic rigour, innovative thinking and leading edge practices are crucial aspects of delivering the excellent, fully rounded education that the 21st-century learner demands.

Cambridge University Press is a world-leading international education publisher, providing educational materials, resources and services to teachers and learners, from ages 3-19, in over 160 countries.

We are a not-for-profi t organisation and follow the core values of the University of Cambridge, ensuring all of our publishing refl ects the Cambridge standards around encouraging and supporting critical thinking, thinking skills, problem solving and creativity.

Through our comprehensive and high-quality print, digital and online resources, we aim to enable thousands of learners worldwide to advance their learning, knowledge and abilities, and to successfully pass their exams and assessment criteria.

We work with innovative and aspiring authors with extensive knowledge of the education market and curriculum developments. Our teachers and learners can expect support and customer care from a dedicated specialist global team of representatives and agents.

In an ever-changing global educational environment, Cambridge University Press aims to innovate, inspire and lead the way in educational excellence.

education.cambridge.org

A view from the publisher… why we have commissioned Cambridge Primary Mathematics

An investigatory approach to learning the skills of problem solving with an international focus

Methodology and approach

These resources for primary maths are informed by the most up-to-date teaching

philosophies based on research from around the world. They aim to support

teachers to help all learners become confident and successful mathematicians

through a fun and engaging course. Through an investigatory approach, children

learn the skills of problem solving in the context of the other mathematical

strands in the course (number, handling data, measure and geometry). The

course will encourage learners to be independent thinkers with the confidence to

tackle a wide range of problems and who understand the value and relevance of

their mathematics. Classroom discussion is encouraged to help learners become

good mathematical communicators, to justify answers and to make connections

between ideas.

ComponentsThe Teacher’s Resources with CD-ROMs pull everything together to fully support teachers to deliver a complete course. Detailed lesson plans are offered, with additional activities suggested so you can adapt the lessons to the needs of your students. Strategies on encouraging mathematical dialogue and advice on formative assessment, differentiation, vocabulary and prior knowledge and a clear objective mapping grid are provided to help you plan your teaching. Answers to the questions in the learner’s book and all photocopiable sheets required are provided. Everything is also included on a CD in the back for convenience.

The Learner’s Books contain fun and engaging activities, questions, investigations and games, presented in an attractive design, that link to the activities in the teacher’s resource. With non-native English speakers in mind, great care has been made to ensure language is simple and vocabulary is defi ned visually.

The Games Books with CD-ROMs are related to the learning objectives in the teacher’s resource chapters and can be used in class or at home. There is advice to teachers on how the games should be played to get the most out of them and projectable PowerPoint slides give instructions to the learners. All games boards are included.

We hope you enjoy your sample copy and don’t forget to visit education.cambridge.org/cambridgeprimary to fi nd out more!

The International Education team

are related to the learning objectives in the teacher’s resource chapters and can be used in class or at home. There is advice to teachers on how the games should be played to get the most out of them and projectable PowerPoint slides give instructions to the learners. All games boards are included.

We hope you enjoy your sample copy and don’t forget to visit to fi nd out more!

Introducing… Cambridge PrimaryIn addition to our market-leading titles for Cambridge Checkpoint, Cambridge O Level, Cambridge IGCSE® and Cambridge International AS and A Level, we will be publishing an exciting new maths series for the Cambridge Primary programme Stages 1–6. This will complete the learner’s journey with Cambridge materials from Primary to Pre-University. Cambridge Primary leads seamlessly into our Cambridge Checkpoint series to support Cambridge Secondary 1.

We are working with Cambridge International Examinations towards endorsement of the brand new suite of products for English, Mathematics and Science. Cambridge Global English will not go through the Cambridge endorsement process as it follows the curriculum framework developed by Cambridge English Language Assesment.

About the Cambridge Primary CurriculumCambridge Primary, typically for 5–11 year olds, gives schools a curriculum framework to develop skills, knowledge and understanding in younger learners. Cambridge Primary provides guidance for curriculum development and classroom teaching and learning. It enables teachers to assess children’s learning as they progress with two optional assessments: Cambridge Primary Progression Tests and Cambridge Primary Checkpoint.

The Cambridge Primary Maths InitiativeWritten for use with the Cambridge Primary Mathematics curriculum framework, these resources from Cambridge University Press are perfect for schools following the Cambridge International Examinations curriculum and highly relevant to any primary school that is looking for a good quality course that covers mathematics

in a fun and engaging way. These resources form part of a new offering called Cambridge Primary Maths that is a joint venture between Cambridge University Press and Cambridge International Examinations.

Cambridge Primary Maths is an innovative combination of curriculum and resources designed to support teachers and learners to succeed in primary mathematics through best-practice international maths teaching and a problem solving approach.

This online and print-based resource brings together the world-class Cambridge Primary Mathematics curriculum from Cambridge International Examinations, high-quality publishing from Cambridge University Press and expertise in online resources from the renowned NRICH team.

Cambridge Primary Maths offers teachers an online tool that maps resources and links to materials offered through the primary maths curriculum, NRICH and Cambridge Primary mathematics textbooks and e-books. These resources include engaging online activities, best-practice guidance and examples of Cambridge Primary Maths in action.

®IGCSE is the registered trademark of Cambridge International Examinations.

The Cambridge curriculum is dedicated to helping schools develop learners who are confi dent, responsible, refl ective, innovative and engaged. It is designed to give learners the skills to problem solve effectively, apply mathematical knowledge and develop a holistic understanding of the subject.

The Cambridge Primary Maths textbooks will provide best-in-class support for this problem-solving approach, based on pedagogical practice found in successful schools across the world. The highly regarded NRICH online resources offer development of mathematical thinking and problem-solving skills.

The benefi ts of being part of Cambridge Primary Maths are:

• TheopportunitytoexploreamathscurriculumfoundedonthevaluesoftheUniversity of Cambridge and best practice in schools

• Accesstoaninnovativepackageofonlineandprintresourcesthatcanhelpbringthe Cambridge Primary Mathematics curriculum to life in the classroom.

Cambridge Primary Maths will be launching in early 2014.

The resources from Cambridge University Press aim to help learners develop good mental strategies, a solid understanding of the concepts and the links between them and effective problem solving skills. Learner’s will become good mathematical communicators and independent thinkers. They will have the confi dence to tackle a wide range of problems and be encouraged to enjoy and value their mathematical education.

Cambridge Primary Mathematics curriculum to life in the classroom.

will be launching in early 2014.

The resources from Cambridge University Press aim to help learners develop good mental strategies, a solid understanding of the concepts and the links between them and effective problem solving skills. Learner’s will become good mathematical communicators and independent thinkers. They will have the confi dence to tackle a wide range of problems and be encouraged to enjoy and value their mathematical education.

What is in your free sample?Included you will find a representative sample chapter for three stages of:

• CambridgePrimaryMathematicsLearner’sBook

There is another sample booklet available titled Mathematics Booklet 2 which has within it sample chapters for three stages of:

• CambridgePrimaryMathematicsGamesBook

• CambridgePrimaryMathematicsTeacher’sResourceBook

To see samples of all stages as they become available simply visit education.cambridge.org/cambridgeprimary

What is in the complete series?Cambridge Primary Mathematics

Learner’s Books

• CambridgePrimaryMathematicsLearner’sBook1-9781107631311






Games Books

• CambridgePrimaryMathematicsGamesBookwithCD-ROM1-9781107646407






Teacher’s Resource Books

• CambridgePrimaryMathematicsTeacher’sResourceBookwithCD-ROM1-9781107656833






How do I order, find out more and register my interest?Simply visit education.cambridge.org/cambridgeprimary for more information on the series, extended sample material and to pre-order your copies!

Also available for Cambridge Primary…Cambridge Global English*

Learner’s Books

• CambridgeGlobalEnglishLearner’sBookwithAudioCD1-9781107676091






Activity Books

• CambridgeGlobalEnglishActivityBook1-9781107655133







• CambridgeGlobalEnglishTeacher’sResourceBook1-9781107642263






*Cambridge Global English has not been through the Cambridge endorsement process.

We also have a comprehensive range of materials for Cambridge Checkpoint, Cambridge IGCSE®, Cambridge O Level and Cambridge International AS and A Level.

Simply visit education.cambridge.org for more information on all these series.

How do I order, find out more and register my interest?Simply visit education.cambridge.org/cambridgeprimary for more information on the series, extended sample material and to pre-order your copies!

Also available for Cambridge Primary…Cambridge Primary Science

Learner’s Books

• CambridgePrimaryScienceLearner’sBook1-9781107611382






Activity Books

• CambridgePrimaryScienceActivityBook1-9781107611429







• CambridgePrimaryScienceTeacher’sResourceBookwithCD-ROM1-9781107611467






We also have a comprehensive range of materials for Cambridge Checkpoint, Cambridge IGCSE®, Cambridge O Level and Cambridge International AS and A Level.

Simply visit education.cambridge.org for more information on all these series.

Learner’s Book

Cambridge PrimarY Maths

Chapter 8 measure: capacity

Cherri MoseleyJanet Rees

Capacity

Unit 1C Core activity 8.1 Measuring capacity2

Look at these pictures:

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Ordering capacity

Unit 1C Core activity 8.2 Estimating capacity3

Which holds most?

Ordering capacityOrdering capacity

Which holds least?

? ? ?

holds most

holds least

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Learner’s Book


2Chapter 6 adding and subtracting

Cherri MoseleyJanet Rees

How many ways?

Unit 1A Core activity 6.1 Adding using number pairs2

There are four sets of numbers below. Add up the numbers in each set, using number pairs to 10.

Now use a different way to add the numbers together.

Remember that you should always get the same total for each set.

Roll a dice to fi nd a new number to add to one of the number sets.Does this change how you add the numbers in that set together?

Roll a dice to fi nd a new number to add

HintLook for doubles or near doubles, use a numberline or try something else.Dra

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Now use a different way to add the

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Now use a different way to add the numbers together.

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Remember that you should always get the same total for each set.Dra

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Hearts and stars

Unit 1A Core activity 6.2 Checking your solutions3

Each card shows one number of a pair. The cards are number pairs to 20.What number is on the other side of each card?Which cards are missing?

The cards are number pairs to 30.What number is on the other side of each card this time?Which cards are missing?

What is the same about each set?What is different about each set?

18

14

25

5 8 23

13

6

15

17

9

2

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The cards are number pairs to 30.What number is on the other side of each card this time?Dra

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What number is on the other side of each card?

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What number is on the other side of each card?Hint

Write a list of number pairs to

help you.

Equal machine

Unit 1A Core activity 6.3 Equal and equivalent4

The equal machine makes equivalent calculations.

Choose a card to go in to the equal machine.What might come out?

What is the longest string of calculations you can make?

HintFind the value of

your card fi rst. Then fi nd lots of ways of making that value.

equal/equivalent:

have the same value

or amount even if they

look different.

‘5 � 2’ and ‘9 � 2’

have the same value

of 7, so they are equal.

They are called equivalent.

Vocabulary

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Choose a card to go in to the equal machine.

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Choose a card to go in to the equal machine.What might come out?

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What might come out?


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look different.

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17 – 8

11 + 5 23 + 4

36 – 7

13 + 6

22 + 9 39 + 3 9 + 5

Learner’s Book


6Chapter 10 Shapes and geometric reasoning

Emma LowMary Wood

2 3

Shape

Let’s investigateNour makes this pattern by repeating the translation of a triangle.

Describe to a partner how to make Nour’s pattern.

Find, or draw, patterns of your own using translations.

Unit 1C Core activity 10.1 Describing translations2

axis: is a reference line;

graphs have a horizontal

axis (x) and a vertical

axis (y).

co-ordinates: show position

on a grid; they are shown

as pairs of numbers, for

example (�3, �1).

translation: moves or slides

an item without rotating it.

Vocabulary

1 Copy the diagram of a quadrilateral onto a square grid.

Translate the quadrilateral 4 squares to the right.

2 Which of these pieces fi ts the hole in the middle of the jigsaw?

Describing translations

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yaxis (yaxis (

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axis (yaxis ( ).

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co-ordinates:

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co-ordinates: show position

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show position

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as pairs of numbers, for

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C A B

F

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Unit 1C Core activity 10.1 Describing translations3

3 Draw axes from �8 to �8 on squared paper. Draw a trapezium with co-ordinates (2, 1), (4, 1), (4, 5) and (2, 3). Label it X. Translate X to a new position following these rules.

(a) to A by translating �3 in the x-direction (b) to B by translating �6 in the y-direction (c) to C by translating �6 in the x-direction and �4 in the y-direction (d) to D by translating �7 in the x-direction and �3 in the y-direction

Write down the co-ordinates for shapes A, B, C and D.

4 Look at the triangles on the grid.

Write down the co-ordinates of the 3 vertices of:

(a) triangle A (b) triangle C (c) triangle G (d) triangle F

5 Use the same grid. Describe the following translations:

(a) A to B (b) B to C (c) C to G (d) A to E

(e) F to E (f) G to E (g) D to E (h) F to G

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-direction

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-direction3 in the

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3 in the y

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y-direction

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-direction

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sample Write down the co-ordinates for shapes A, B, C and D.

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sample Write down the co-ordinates for shapes A, B, C and D.

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Write down the co-ordinates of the 3 vertices of:

triangle A Dra

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triangle A

4 5Unit 1C Core activity 10.2 Re� ecting shapes

4

Let’s investigateThis sheet of paper has been folded once.

The shape is cut out as shown.

Describe the fi nal shape you would get if you opened it out.

How many lines of symmetry will it have?

1 Copy the diagram. Refl ect the shape in the mirror line.

2 The diagram shows a shaded square on a grid.

Draw a similar grid and shade in 3 more squares so the design is symmetrical about both mirror lines.

Re� ecting shapesreflection: a mirror view.

image: position of shape

following a refl ection.

Vocabulary

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sample

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Copy the diagram. Refl ect the shape in the mirror line.

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Copy the diagram. Refl ect the shape in the mirror line.

The diagram shows a shaded square on a grid.Draft

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The diagram shows a shaded square on a grid.

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Draw a similar grid and shade in 3 more squares so the design is symmetrical about both mirror lines.Dra

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the design is symmetrical about both mirror lines.Draft

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sampleimage: position of shape

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sample position of shape


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Hint is the

mirror line

✂

4 5

3

2

1

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y

x �3 �2 �1 1 2 3

4

3

2

1

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�2

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y

x �4 �3 �2 �1 1 2 3 4

A

B

C D

3 The line AB is a refl ection of the line CD in a mirror line.

Draw the diagram and mark in the mirror line.

List all the points with whole number co-ordinates that lie on the mirror line.

What do you notice about the co-ordinates of these points?

4 The diagram shows 3 squares on a co-ordinate grid.

Decide where to place 2 more squares to make the pattern symmetrical about the mirror line.

What are the co-ordinates of the vertices of the 2 squares?

5 (a) Draw a grid with x and y axes from �4 to �4.

Join the point (�4, 4) to the origin (0,0).

Refl ect this line in the y-axis, then refl ect the line and its image in the y-axis.

What mathematical sign have you made?

(b) Write instructions to make an addition sign using a line and refl ecting it in different ways.

Unit 1C Core activity 10.2 Re� ecting shapes5

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The diagram shows 3 squares on a co-ordinate grid.

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Decide where to place 2 more squares to make the pattern symmetrical about the mirror line.Dra

ft sa

mple

about the mirror line.

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What are the co-ordinates of the vertices of the 2 squares?

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mple

Draw a grid with

6 7Unit 1C Core activity 10.3 Rotation on a grid

6

Let’s investigateLook at the isosceles triangle drawn on a grid.

Rotate the triangle 90° clockwise about the

Draw the image.

Continue rotating the triangle twice more.

What shape have you made?

Investigate rotating similar shapes you see during the day. Write a report on your fi ndings.

1 The hour hand on an analogue clock points to 10.

It turns through 90° clockwise.

What number does it point to?

2 The diagram shows a trapezium on a square grid.

Copy the shape on squared paper.

Rotate the trapezium 90° clockwise about point A and draw the image.

Rotationrotation: turns an object

about a point.

clockwise: the same

direction as hands

on a clock turn.

anti-clockwise: the opposite

direction as hands on a

clock turn.

Vocabulary

HintYou may find tracing

paper helpful.

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You may find tracing paper helpful.

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paper helpful.

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shapes you see during the day.

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shapes you see during the day. Write a report on your fi ndings.

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sample

Write a report on your fi ndings.

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The hour hand on an analogue clock points to 10.

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clock points to 10.


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What number does it point to?

The diagram shows a trapezium on a square grid.Draft

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The diagram shows a trapezium on a square grid.

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ft sa

mple

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ft sa

mple

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sampleclockwise:

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sampleclockwise: the same

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sample the same

direction as hands

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sampledirection as hands

on a clock turn.

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on a clock turn.

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clock turn.

on a clock turn.

A

6 7

A

3 The diagram shows an octagon on a 12 by 12 square grid.

Copy the shape onto squared paper.

Rotate the octagon 90° clockwise about point A and draw the image.

Rotate the new image 90° clockwise about A again two more times, each time drawing the image.

4 Look at the shaded shape on the grid.

The shape is rotated 90° clockwise. Point A stays in the same place but point B moves. What are the co-ordinates of the image of point B?

Unit 1C Core activity 10.3 Rotation on a grid7

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Draft

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Draft

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Draft

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Draft

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Draft

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Rotate the new image 90° clockwise about A again two more times,

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Rotate the new image 90° clockwise about A again two more times, each time drawing the image.

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each time drawing the image.

Look at the shaded shape on the grid.

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Look at the shaded shape on the grid.

5

4

3

2

1

�1

�2

�3

�4

�5

y

x �5 �4 �3 �2 �1 1 2 3 4 5

A

B

cambridge primary mathematics learners book sample pack

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