year 2 problem solving lesson

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Gruffalo Problem Solving Maths Lesson - Year 2

Subject: Mathematics

Age range: 5-7

Resource type: Lesson (complete)

Last updated

10 July 2020

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To recognise and use the language of addition to formulate problems Success Criteria • I can identify different words that mean the same as ‘add’. • I can use maths vocabulary correctly in class and group discussion. • I can share ideas and write addition problems involving story characters with my partner

Cross curricular links – Literacy Using a text to provide contextual Maths and developing vocabulary, speaking and listening skills.

Maths National Curriculum link – 2014 ‘Pupils should read and spell mathematical vocabulary, at a level consistent with their increasing word reading and spelling knowledge at key stage 1.’ ‘They discuss and solve problems in familiar practical contexts, including using quantities. Problems should include the terms: put together, add, altogether, total, take away, distance between, difference between, more than and less than, so that pupils develop the concept of addition and subtraction and are enabled to use these operations flexibly.’

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45 year 2 maths questions

Learn how to master year 2 maths word problems with these 45 maths questions! Answers included.

Author Michelle Griczika

Published February 2024

• Key takeaways
• Addition & Subtraction : Adding and subtracting numbers is like solving puzzles and helps us with real-life situations.
• Word Problems : Solving word problems makes maths fun and helps us become better readers and problem solvers.
• Place Value : Understanding place value helps us read and write numbers correctly and compare their values.
• Measurement & Time : Measuring objects and telling time help us understand the world around us and manage our daily routines.
• Geometry (Shapes) : Recognizing shapes and their properties helps us see the world in a new way and understand how things are put together.

Table of contents

• Addition and Subtraction
• Word Problems
• Place Value
• Geometry (Shapes)

Did you know that ladybugs have spots on their backs?

If a ladybug has 2 spots on its back and it gets 1 more spot, how many spots will the ladybug have in total?

The lady bug will have 3 spots!

Year 2 maths word problems are like fun puzzles that help us use our maths skills to solve real-life situations. They are essential to year 2 maths, and practising them can help us become maths superstars!

• We can use addition and subtraction to determine how many cookies are left in a jar, how many friends are on the playground, or even how many apples are in a basket.
• Understanding place value is like being a number detective. It helps us read big numbers and know the value of each digit, so we can count things like how many toys we have or how many days until our birthday.
• Measuring things and telling time is like being an explorer in the real world. We can measure how tall we are, how long a pencil is, or even how much water is in a glass. And knowing how to read a clock helps us know when it’s time for fun activities or when it’s time to go to bed.
• Shapes are like building blocks of the world around us. We can learn about squares, triangles, and circles by looking at objects we see every day. It’s like being a shape detective, finding out how many sides and corners they have, and how they fit together like puzzle pieces in year 2 maths questions.

All of these skills are necessary for year 2 maths practice! Use these 45 maths questions to go over important maths skills needed to strengthen your student’s understanding and knowledge.

Today, we are going to practise different year 2 maths skills that cover measurement, addition and subtraction, and more! Once you are done, check your work with our answer sheet!

Section 1: Addition & subtraction

Section 2: word problems, section 3: place value, section 4: geometry (shapes), section 5: time.

What time is the clock below telling?

Time answer sheet

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

Lesson credits

Michelle Griczika

Michelle Griczika is a seasoned educator and experienced freelance writer. Her years teaching first and fifth grades coupled with her double certification in elementary and early childhood education lend depth to her understanding of diverse learning stages. Michelle enjoys running in her free time and undertaking home projects.

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Get a simple definition of the concept of number and the difference between cardinal, ordinal and nominal numbers with this fun animation.

2. Play a matching game

Your child will be expected to write numbers up to 100 using numerals and words. You could support their learning by playing a matching game.

Make two sets of simple cards or pieces of paper. On one set of cards, write numbers in numerals (for example, ’67’). On another set of cards, write the matching number names (for example, ‘sixty-seven’). Mix all the cards up and play snap.

Activity: Number words

3. Compare and order numbers

Encourage you child to talk through how they know that one number is bigger or smaller than another:

I know that 32 is smaller than 76, because 32 only has 3 tens, and 76 has 7 tens.

Encourage your child to use more than (>) and less than (<) symbols when comparing numbers. For example, they could write 32 < 76 or 76 > 32.

You could practise ordering with a card game. Write twenty two-digit numbers and the ‘>’ and ‘<‘ symbols on separate pieces of paper. Deal your child two numbers, face down. Ask them to turn over the pieces of paper and to use the ‘>’ and ‘<‘ symbols to show which number is bigger or smaller.

Activity: Number statements

When your child is counting objects, ask them to estimate how many there are before they count them. Being able to make accurate estimates within mathematics is a valuable skill we use in everyday life. It will help them to tell if their answers to maths problems are reasonable or not.

When counting more than ten objects in a set, it is an important skill for your child to be able to group objects in groups of ten. For example, if they are counting 36 buttons, encourage them to begin by counting out buttons into groups of ten. They will then have 3 groups of ten buttons and 6 buttons on their own.

Activity: Counting coins

5. Partition numbers in different ways

Partitioning means to break numbers into parts. Use practical resources, such as straws grouped in tens, to partition numbers in different ways. For example, the number 54 can be partitioned into 50 + 4, 40 + 14, 30 + 24, 20 + 34, or 10 + 44.

This will help your child to see patterns in numbers as they develop their calculation skills.

6. Using number facts

To help reinforce your child’s understanding of number, try to find everyday opportunities for them to use known number facts to solve problems.

This is a really easy thing to do at home and in the shops. For example:

‘If we buy 7 apples and 3 bananas – how many pieces of fruit do we have altogether?’   ‘If we have 10 people coming to your party and we have 5 party bags, how many more do we need to buy?’

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Year 2 maths planning, a pathway of blocks to cover the national curriculum statutory requirements.

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See our suggested teaching order for the Curriculum for Wales and Scottish Curriculum for Excellence .

Subject coordinators – Staff Meetings are ready and available!

Autumn Blocks

1 place value.

• 1.  Count to 100, identify number, estimate
• 2.  Place value in 2-digit numbers
• 3.  Make and write amounts of money
• 4.  Make amounts of money; give change

2 Addition and Subtraction

• 1.  Addition/subtraction facts; missing nos
• 2.  Know how many to next multiple of 10
• 3.  Add and subtract 10/20; extend to 11/21

3 Measures (A)

• 1.  Measure lengths in metric units; rulers
• 2.  Measure weights in g and kg
• 3.  Measure capacities in litres

4 More Addition & Subtraction (A)

• 1.  Use facts to add several numbers
• 2.  Add/subtract numbers bridging 10
• 3.  Add/subtract using facts and place value
• 4.  Use facts/patterns to add/subtract

5 Multiplication and Division

• 1.  Understand multiplication as sets; recognise patterns
• 2.  Understand doubles/halves to 20

6 More Addition & Subtraction (B)

• 1.  Add/subtract multiples of 10
• 2.  Add/subtract 11, 12, 21, 22, etc
• 3.  Add/subtract near multiples of 10
• 4.  Add pairs of 2-digit numbers

7 Shape and Data (A)

• 1.  Left, right, clockwise, anti-clockwise turns
• 2.  Draw and describe 2-D shapes & polygons
• 3.  Sort shapes: Venn and Carroll diagrams

8 Measures (B)

• 1.  Understand hours, minutes, seconds
• 2.  Tell the time; introduce 5-min intervals

9 Shape and Data (B)

• 1.  Tally charts, block graphs and pictograms
• 2.  3-D shapes; identify edges, faces, vertices

10 Wellbeing

• 1.  Key skills through expressive arts Y2

Spring Blocks

• 1.  Ordinal numbers; properties of numbers
• 2.  Properties of numbers, e.g. odd/even

2 Addition & Subtraction (A)

• 1.  Use facts, patterns, PV to add/subtract
• 2.  Use number line & 100 grid to +/-

3 Fractions

• 1.  Find fraction of shapes (1/2, 1/4, 1/3)
• 2.  Find fractions of amounts (1/2, 1/4, 1/3)

4 Addition & Subtraction (B)

• 1.  Find money totals: solve word problems
• 2.  Add and double by partitioning

5 Multiplication and Division (A)

• 1.  Count in 2s, 5s, 10s; 5x tables facts
• 2.  Division as the inverse of multiplication
• 3.  Solve multiplication/division problems - 1
• 4.  Solve multiplication/division problems - 2

6 More Addition & Subtraction

• 1.  Find change
• 2.  Subtract by counting back
• 3.  Subtract by counting up; choose a strategy
• 1.  Units of time and telling the time

8 Multiplication and Division (B)

• 1.  Multiply by 2, 5 and 10
• 2.  Division as inverse of multiplication
• 3.  Multiplying and doubling and inverses
• 4.  Solve divisions as inverse of multiplication

Summer Blocks

1 number, fractions, money.

• 1.  Count 2s, 3s, 5s, 10s; multiples of 2, 5, 10
• 2.  Count in fractions; fractions of amounts
• 3.  How to find amounts of money
• 1.  Add by partitioning or counting on
• 2.  Choose strategies to subtract
• 1.  Revision: addition and subtraction
• 2.  Revision: multiplication, fractions, time

4 Puzzles and Games

• 1.  Maths games
• 2.  Number puzzles
• 3.  Logic and shape puzzles

5 Investigations

• 1.  Problem solving and investigations

6 Fractions and Time

• 1.  Fractions of amounts; count in fractions
• 2.  Tell digital and analogue time confidently
• 1.  2- & 3-digit numbers on line; round to 10
• 2.  Place value in 3-digit numbers

8 Wellbeing

9 local lockdown.

• 1.  Local Lockdown home pack - Y2 Week 1
• 2.  Local Lockdown home pack - Y2 Week 2

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Extra Support worksheets come with guidance for a teacher or TA working with small groups. They can make a significant difference to children working below ARE. Extra support is linked to individual objectives-based units, but you can also explore a set for a whole year.

Procedural fluency is fundamental to numeracy, and Hamilton's practice worksheets are carefully differentiated for children working toward Age Related Expectations (ARE), at ARE and at greater depth. Practice is linked to individual objectives-based units, but you can also explore sets of worksheets for the whole year.

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Two Step Problems Lesson

This Year 2 Two-Step Problems lesson covers the prior learning of adding together and subtracting, before moving onto the main skill of solving two-step problems around money.

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 Objectives Mathematics Year 2: (2M9)  Solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change

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Interactive activities for children

2 Teaching Support

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Lesson Slides

These lesson slides guides pupils through the prior learning of adding together and subtracting, before moving onto the main skill of two step problems. 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

During this Two-Step Problems Video Tutorial, Katie shows children how to solve two-step problems involving money. Katie explores using subtraction to find change and using addition to find totals.

1 Prior Learning

Interactive Activity

This Year 2 Add 2-Digit Numbers 1 Game includes three questions to check pupils’ understanding of adding 2-digit numbers with no exchange.

This Year 2 Add 2 Digit Numbers Game checks pupils’ understanding of adding two 2-digit numbers, including an exchange.

This Year 2 Subtract with 2-Digits Game aims to support pupils’ subtraction skills using the column method, partitioning and number lines.

2 Varied Fluency

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

This Year 2 Money Problems Game aims to support pupils’ understanding of money.

2 Reasoning & Problem Solving

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

Mixed Practice

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

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

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.

Interactive Challenge Activity

This Year 2 Money Problems Maths Challenge aims to extend pupils’ understanding of money.

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

2 Additional Activities

Learning Video Clip

The summer holiday is nearly over and it’s time to get ready to go back to school. Yasin and Scarlett are going into town with their mums to get their new school uniform and school equipment. They will need to be able to work out how much they are spending and how much their change will be.

Consolidation Pack

This resource is aimed at Year 2 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 3 – Measurement: Money.

Home Learning Pack

This Autumn week 12 Maths pack contains varied fluency, reasoning and problem solving worksheets

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