School level

# Maths Week Problems

## A collection of resources for Maths Week 2016

Throughout Maths Week, Scoilnet hosted the PDST Numeracy Brainteaser Challenge. Schools and classes around Ireland were encouraged to submit pictures of their brainteaser work or upload their answers on Twitter using the hashtag @PDSTNumeracy or @ScoilnetPrimary. All schools were submitted to a draw to win a set of PDST Numeracy handbooks.

Monday
Tuesday
Wednesday
Thursday
Friday
PDST Handbooks

### Junior Brainteaser - What Shape and Colour?

Document on a Junior Brainteaser - What Shape and Colour? Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to analyse the worksheet in order to recognise the hidden patterns and sequences.

in 1-2 Mathematics

#### How it maps to the curriculum

in
1-2
Mathematics

Strand: Algebra

Content objective:
This resource should enable a child to:

• identify, copy and extend patterns in colour, shape and size

Suggestions for use: Together as a class, solve the Problem of the Day. Promote reasoning behind the solution.

Strand: Algebra

Suggestions for use: Whole class discussion by projecting onto whiteboard. Alternatively, set brainteaser challenge to groups with each group explaining the reasoning behind their problem solving solution. Alternatively, set as an independent brainteaser whereby students think think-pair-share their ideas.

Asset type:
Special Needs:

### Senior Brainteaser - A Bit Fishy

Document on a Senior Brainteaser - A bit Fishy. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to solve and complete practical problems and tasks involving money.

3-4 5-6 Mathematics

#### How it maps to the curriculum

3-4
5-6
Mathematics

Strand: Measures

Strand unit: Money - Euro

Content objective:
This resource should enable a child to:

• solve and complete one-step problems and tasks involving the addition and subtraction of money
• solve and complete practical one-step and two-step problems and tasks involving the addition, subtraction, multiplication and simple division of money

Suggestions for use: Solve the Problem of the Day Brainteaser Challenge individually, in pairs or as a class.

Strand: Measures

Strand unit: Money - Euro

Content objective:
This resource should enable a child to:

• compare 'value for money' using unitary method
• explore value for money

Suggestions for use: Solve the Problem of the Day Brainteaser Challenge individually, in pairs or as a class.

Asset type:
Language: English
Special Needs:

### Junior Brainteaser - Construct 2-D Shapes

Document on a Junior Brainteaser - Construct 2-D Shape. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to work with a partner. Materials needed include 10 lollipop sticks for each pair of students. Questions included in the worksheet.

in 1-2 Mathematics

#### How it maps to the curriculum

in
1-2
Mathematics

Strand: Shape & Space

Strand unit: 2-D Shapes

Content objective:
This resource should enable a child to:

• combine and divide 2-D shapes to make larger or smaller shapes
• give simple moving and turning directions
• solve problems involving shape and space
• solve problems involving shape
• sort and name 2-D shapes: square, circle, triangle, rectangle
• sort, describe and name 2-D shapes: square, circle, triangle, rectangle
• use suitable structured materials to create pictures

Suggestions for use: Set the Problem of the Day Brainteaser Challenge using the guided worksheet. Teacher questions and extension activity provided.

Strand: Shape & Space

Strand unit: 2-D Shapes

Content objective:
This resource should enable a child to:

• construct and draw 2-D shapes
• identify and discuss the use of 2-D shapes in the environment
• identify half and quarter of shapes
• sort, describe, compare and name 2-D shapes: square, rectangle, triangle, circle, semicircle, oval
• sort, describe, compare and name 2-D shapes: square, rectangle, triangle, circle, semicircle

Suggestions for use: Set the Problem of the Day Brainteaser Challenge using the guided worksheet. Teacher questions and extension activity provided.

Asset type:
Language: English
Special Needs:

### Senior Brainteaser - Hare and Tortoise

Document on a Senior Brainteaser - Hare and Tortoise Race. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to explore the relationship between time, distance and average speed.

3-4 5-6 Mathematics

#### How it maps to the curriculum

3-4
5-6
Mathematics

Strand: Measures

Strand unit: Time

Suggestions for use: Solve the Problem of the Day Brainteaser Challenge individually, in pairs or as a class.

Strand: Measures

Strand unit: Time

Content objective:
This resource should enable a child to:

• explore the relationship between time, distance and average speed

Suggestions for use: Solve the Problem of the Day Brainteaser Challenge individually, in pairs or as a class.

Asset type:
Language: English
Special Needs:

### Junior Brainteaser - Geoboards & Dotted Paper

Document on a Junior Brainteaser - Geoboards & Dotted Paper. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to work with a partner and a geoboard.

1-2 Mathematics

#### How it maps to the curriculum

1-2
Mathematics

Strand: Number

Strand unit: Fractions

Content objective:
This resource should enable a child to:

• establish and identify half of sets to 20
• establish and identify halves and quarters of sets to 20

Suggestions for use: Explain the activity to the class using the document. Ensure each pair has a geoboard to work on. Emphasis the recording of results. Encourage the communication of reasoning as to how the problem was solved.

Asset type:
Language: English
Special Needs:

### Geoboard - Maths Playground

http://www.mathplayground.com/geoboard.html Added: 19 Oct 2016 Contributor: Scoilnet Resource type: Simulation

A site where students make and manipulate angles, triangles and rectangles using a geoboard and virtual rubber bands.

1-2 Mathematics

#### How it maps to the curriculum

1-2
Mathematics

Strand: Number

Strand unit: Fractions

Asset type: Online Resource
Language: English
Special Needs:

### Geoboard

https://www.mathlearningcenter.org/web-apps/geoboard/ Added: 19 Oct 2016 Contributor: Scoilnet Resource type:

A site where students make and manipulate angles, triangles and rectangles using a geoboard and virtual rubber bands.

1-2 Mathematics

#### How it maps to the curriculum

1-2
Mathematics

Strand: Number

Strand unit: Fractions

Asset type: Online Resource
Special Needs:

### Senior Brainteaser - Piggy Goes Shopping

Document on a Senior Brainteaser - Piggy Goes Shopping. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to explore, express and identify place value in decimal numbers to two places.

5-6 Mathematics

#### How it maps to the curriculum

5-6
Mathematics

Strand: Number

Strand unit: Place Value

Content objective:
This resource should enable a child to:

• identify place value in whole numbers and decimals
• read, write and order whole numbers and decimals

Suggestions for use: Teachers can use the document as a guide to prepare in planning out the activity for the class. Resources for the Problem of the Day included in the document.

Asset type:
Language: English
Special Needs:

### Junior Brainteaser - Magic Square Activity

Document on a Junior Brainteaser - Magic Square Activity. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to add rows, columns and diagonals along with identifying in the incorrect number.

1-2 Mathematics

#### How it maps to the curriculum

1-2
Mathematics

Strand: Number

Strand unit: Counting & Numeration

Content objective:
This resource should enable a child to:

• count the number of objects in a set
• read, write and order numerals 0-199

Suggestions for use: Solve the Problem of the Day Brainteaser Challenge individually, in pairs or as a class.

Asset type:
Language: English
Special Needs:

### Senior Brainteaser - Pigs and Ducks

Document on a Senior Brainteaser - Pigs and Ducks. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to explore the problem using addition, subtraction and multiplication.

3-4 5-6 Mathematics

#### How it maps to the curriculum

3-4
5-6
Mathematics

Strand: Number

Strand unit: Operations

Content objective:
This resource should enable a child to:

• add and subtract, without and with renaming, within 999
• develop and recall multiplication facts within 100

Suggestions for use: Class to work with a partner on the word problem.

Strand: Number

Strand unit: Operations

Content objective:
This resource should enable a child to:

• add and subtract whole numbers and decimals (to three decimal places) without and with a calculator
• estimate sums, differences, products and quotients of whole numbers

Suggestions for use: Class to work with a partner on the word problem.

Asset type:
Language: English
Special Needs:

### Junior Brainteaser - Train Task Cards

Document on a Junior Brainteaser - Train Task Cards. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. This activity is adapted from the Nrich website . An interactive Cuisenaire version is available on the Nrich website. Show the pupils a âtrainâ made from three pink Cuisenaire rods.

in 1-2 Mathematics

#### How it maps to the curriculum

in
1-2
Mathematics

Strand: Measures

Strand unit: Length

Content objective:
This resource should enable a child to:

• compare and order objects according to length or height
• develop an understanding of the concept of lengt through exploration, discussion, and use of appropriate vocabulary
• estimate and measure length in non-standard units

Suggestions for use: Use the document as a teacher guide to the Problem of the Day Brainteaser Challenge. See related resources for the related ICT resource.

Strand: Measures

Strand unit: Length

Content objective:
This resource should enable a child to:

• estimate, compare, measure and record length using non-standard units
• solve and complete practical tasks and problems involving length

Suggestions for use: Use the document as a teacher guide to the Problem of the Day Brainteaser Challenge. See related resources for the related ICT resource.

Asset type:
Language: English
Special Needs:

### Senior Brainteaser - Two Jug Puzzle

Document on a Senior Brainteaser - Pigs and Ducks. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to rename units of capacity in litre and millilitres and decimal or fraction form.

3-4 5-6 Mathematics

#### How it maps to the curriculum

3-4
5-6
Mathematics

Strand: Measures

Strand unit: Capacity

Content objective:
This resource should enable a child to:

• rename units of capacity using decimal and fraction form

Suggestions for use: Teachers can use the document as a guide to carrying out the brainteaser with their class for maths week.

Strand: Measures

Strand unit: Capacity

Content objective:
This resource should enable a child to:

• estimate and measure capacity using appropriate metric units
• rename measures of capacity

Suggestions for use: Teachers can use the document as a guide to carrying out the brainteaser with their class for maths week.

Asset type:
Language: English
Special Needs:

PDST Numeracy manuals can be purchased through Laois Education Centre.

### Measures Handbook - PDST Numeracy

This manual has been designed by members of the Professional Development Service for Teachers. The aim of this Teacherâs Handbook is to assist teachers in teaching the strand of Measures (infants to 6th
class). This comprises the Strand Units of Length, Area, Weight, Capacity, Time and Money. This resource is
intended to complement and support the implementation of the Primary School Mathematics Curriculum
(PSMC) rather than replace it.

in 1-2 3-4 5-6 Mathematics

#### How it maps to the curriculum

in
1-2
3-4
5-6
Mathematics

Strand: Measures

Suggestions for use: Teachers should use the handbook as an instructional framework advocating methods of eliciting, supporting and extending higher-order mathematics skills such as reasoning; communicating and expressing; integrating and connecting; and applying and problem solving

Strand: Measures

Suggestions for use: Teachers should use the handbook as an instructional framework advocating methods of eliciting, supporting and extending higher-order mathematics skills such as reasoning; communicating and expressing; integrating and connecting; and applying and problem solving

Strand: Measures

Suggestions for use: Teachers should use the handbook as an instructional framework advocating methods of eliciting, supporting and extending higher-order mathematics skills such as reasoning; communicating and expressing; integrating and connecting; and applying and problem solving

Strand: Measures

Suggestions for use: Teachers should use the handbook as an instructional framework advocating methods of eliciting, supporting and extending higher-order mathematics skills such as reasoning; communicating and expressing; integrating and connecting; and applying and problem solving

Asset type:
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

### Matapas - PDST

LĂĄmhleabhar an MhĂşinteora

in 1-2 3-4 Mathematics

#### How it maps to the curriculum

in
1-2
3-4
Mathematics
Asset type:
Language: Gaeilge
Special Needs:

### Mental Maths Strategies for Addition and Subtraction - PDST Handbook

This manual has been designed by members of the PDST. The booklet intends to support teachers in developing addition and subtraction mental maths strategies in their classroom. The booklet explores the key properties of number and number relationships relating to addition and subtraction. , outlining practical approaches to developing an understanding of these. It also explores background knowledge for teachers and fundamental facts in relation to mental maths. A range of concrete, practical activities that will support pupils in their development of addition and
subtraction mental maths strategies is also outlined.
Finally, a selection of engaging and enjoyable activities to consolidate learning and provide opportunities for pupils to master addition and subtraction facts is included.

1-2 Mathematics

#### How it maps to the curriculum

1-2
Mathematics

Strand: Number

Strand unit: Counting & Numeration

Suggestions for use: Teacher handbook for Addition and Subtraction.

Asset type:
Special Needs:

### Mental Maths Handbook - Multiplication & Division - PDST Numeracy

This manual has been designed by members of the Professional Development Service for Teachers. The booklet is intended to support teachers in developing multiplication and division mental maths
strategies in their classrooms. It has been designed to accompany the PDST Mental Maths workshops.

3-4 5-6 Mathematics

#### How it maps to the curriculum

3-4
5-6
Mathematics

Strand: Number

Suggestions for use: Teachers can use the range of concrete, practical activities that will support pupils in their development of multiplication
and division mental maths strategies are also outlined. Also included is a suggested alternative
strategic sequence through which pupils may acquire their multiplication facts.

Suggestions for use: Teachers can use the range of concrete, practical activities that will support pupils in their development of multiplication
and division mental maths strategies are also outlined. Also included is a suggested alternative
strategic sequence through which pupils may acquire their multiplication facts.

Asset type:
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

### Shape and Space Manual - PDST Numeracy

This manual has been designed by members of the Professional Development Service for Teachers. The aim of this manual is to assist teachers in teaching the strand of Shape and Space (infants to 6th class)

in 1-2 3-4 5-6 Mathematics

#### How it maps to the curriculum

in
1-2
3-4
5-6
Mathematics

Strand: Shape & Space

Suggestions for use: Teacher guidance in the teaching and learning of Shape and Space.

Strand: Shape & Space

Suggestions for use: Teacher guidance in the teaching and learning of Shape and Space.

Strand: Shape & Space

Suggestions for use: Teacher guidance in the teaching and learning of Shape and Space.

Strand: Shape & Space

Suggestions for use: Teacher guidance in the teaching and learning of Shape and Space.

Asset type:
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

### Place Value, Decimals & Percentages: Teacher's Manual - PDST Numeracy

This manual has been designed by members of the Professional Development Service for Teachers. The aim of this resource is to assist teachers in teaching the strand units of Place Value (1st to 6th class), Decimals (3rd to 6th class) and Percentages (5th and 6th class).

1-2 3-4 5-6 Mathematics

#### How it maps to the curriculum

1-2
3-4
5-6
Mathematics

Strand: Number

Strand unit: Place Value

Suggestions for use: Teacher handbook for place value.

Strand: Number

Strand unit: Place Value

Suggestions for use: Teacher handbook for place value.

Strand: Number

Strand unit: Decimals

Suggestions for use: Teacher handbook for decimals.

Strand: Number

Strand unit: Place Value

Suggestions for use: Teacher handbook for place value.

Strand: Number

Strand unit: Decimals & Percentages

Suggestions for use: Teacher handbook for decimals & percentages

Asset type:
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

## Problem Solving Winners

Bodyke National School, Co. Clare

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