Maths Year 1 Spring Money and Fractions

Each unit has everything you need to teach a set of related skills and concepts. 'Teaching for Understanding' provides whole-class teaching and fully differentiated adult-led group activities. ‘Problem-solving and Reasoning’ develops these skills, and includes questions to enable you to assess mastery. Practice sheets ensure procedural fluency. Extra support activities enable targeted work with children who are well below ARE.

‘UNIT PLAN’ gives you a text version of all parts of the unit to use in your school planning documentation. ‘DOWNLOAD ALL FILES’ gives you that unit plan plus all of associated documents.

Unit 1 Use coins to pay amounts and find totals (suggested as 3 days)

Objectives

Pay amounts and find totals of prices using coins
Unit 1: ID# 1489

National Curriculum
Meas (iii)
Add/Sub (ii) (iv)

Hamilton Objectives
22. Recognise and know the value of different denominations of coins and notes.
10. Recognise the + and – and = signs, and use these to read and write simple additions and subtractions.
11. Add small numbers by counting on; subtract small numbers by counting back.
12. Solve missing number problems and addition/subtraction problems in number stories.

Teaching and Group Activities for Understanding

Day 1 Teaching
Make labels 11p, 12p, 15p and 20p and attach to food items. Give each pair of children a pot of 1p, 2p, 5p, 10 and 20p coins, several of the smaller denominations. Show different items; children show you coins to pay for each 1. Discuss.
Group Activities
Use the ‘Mr Know It All’ in-depth problem solving investigation below as today’s group activity.
Or, use these activities:
-- Guess the coins in each pocket, using the clues.
-- Buy food, working out which coins they would use to pay for it.

Day 2 Teaching
Have a selection of toys with prices 1p to 11p. Choose 2 items. Show children an enlarged 0-20p money line and use this to model counting on. Children start with the larger and count on the smaller price.
Group Activities
-- Buy two or three items, using number facts or counting on to find totals.

Day 3 Teaching
Show children items with price labels 67p, 42p, and 56p. Say that all these prices are going to go up by 10p! What's a quick way to add 10p? Spider counting. Show a 1-100 grid. Model counting on 10p to find new prices.
Group Activities
-- Find prices for the car wash, adding 10p, 20p or 30p to amounts.

You Will Need

  • Food items, labels with money amounts
  • Coins and pots
  • Mini whiteboards and pens
  • Selection of toys with price labels or use ‘Toy Shop’ sheet (see resources)
  • 0-20p money line (see resources)
  • Items for a class shop with price tags
  • Selection of objects with price labels
  • Large 1-100 number square and plastic spider
  • Toy cars, sticky labels and tuff spots/trays with shallow water
  • Bubble bath and toothbrushes

Mental/Oral Starters

Day 1
Coin recognition (pre-requisite skills)

Day 2
Make amounts up to 10p (pre-requisite skills)

Suggested for Day 3
Count in 10s from a 1-digit number (simmering skills)

Procedural Fluency

Day 1
Choose which coins to use to buy food items.

Day 2
Choose two or three toys to buy. Use number facts to help find the total.

Day 3
Add 10p, 20p or 30p to different amounts.

Mastery: Reasoning and Problem-Solving

  • Find 2 different ways of making each amount.
    12p
    25p
    17p
    Draw the coins you use.
  • Write the missing numbers:
    8p + 12p = ☐
    6p + ☐ = 13p
    ☐ = 13p +3p + 6p
  • Add amounts to write the missing totals in the table.
+10p20p
42p52p
66p86p
70p

In-depth Investigation: Mr Know it All
Children find out which amounts of money from 10 to 20p can be made using 10p, 5p, 2p, and 1p coins, using no more than one of each.

Unit 2 Find change; differences between amounts (suggested as 2 days)

Objectives

Find change and differences between amounts of money
Unit 2: ID# 1499

National Curriculum
Meas (iii)
Add/Sub (i) (iv)

Hamilton Objectives
22. Recognise and know the value of different denominations of coins and notes.
11. Add small numbers by counting on.
12. Solve missing number problems and addition/subtraction problems in number stories.

Teaching and Group Activities for Understanding

Day 1 Teaching
Discuss the concept of ‘change’. We give the shopkeeper too much. She gives us change. Model buying an 8p pencil using 10p. Encourage children to use their number bonds to 10 to help. Repeat for other prices and change.
Group Activities
-- Role-play shops and work out how much change to give.

Day 2 Teaching
Choose 2 objects and give them a price – make each price using a stack of pennies. Compare and work out the extra pennies 1 item costs. Show a 0 to 20p money line, mark on the 2 prices. Ring the extra pennies of the larger price.
Group Activities
Use the in-depth problem-solving investigation ‘Find the Difference’ from NRICH as today’s group activity.
Or, use these activities:
-- Find amounts that have a difference of 2p, 4p and 5p.
-- Find the difference in cost between two items.

You Will Need

  • Coins and pencils with price labels
  • 0-20p money line (see resources)
  • Items priced between 10p and 20p
  • Price tags under 10p on IWB or on tables
  • Sticky notes
  • Mini-whiteboards and pens

Procedural Fluency

Day 1
Count up to find change from 10p or from different amounts.

Day 2
Count up to calculate the difference in price between two items.

Mastery: Reasoning and Problem-Solving

  • Write the change from 10p when buying…
    (i) 6p biscuit
    (ii) 4p cracker
    (iii) 9p drink
  • True or false?
    You always get change if you pay for something with a 10p coin.
    You can buy two 4p sweets and still have change from 10p
    You may not use a 20p coin to buy something that costs 11p.
  • What does a pen cost if I get 5p change when paying for it using a 10p coin?

In-depth Investigation: Find the Difference
Place the numbers 1 to 6 in a pyramid of circles so that each number is the difference between the two numbers just below it. Find the Difference from nrich.maths.org.

Unit 3 Understand halves and quarters (suggested as 3 days)

Objectives

Find 1/2 and 1/4 of shapes; understand that 1/2 is one of 2 equal pieces and 1/4 is one of 4 equal pieces
Unit 3: ID# 1511

National Curriculum
Fr (i) (ii)

Hamilton Objectives
15. Recognise, find, name a half as 1 of 2 equal parts of an object or shape.
16. Recognise, find and name a quarter as 1 of 4 equal parts of an object or shape.

Teaching and Group Activities for Understanding

Day 1 Teaching
Discuss colouring mats so that half is green and half is yellow. Stress that halves are equal. Give out paper circles, squares, semi-circles and equilateral triangles. Children fold them in half. Collect and show how each half is the same size as its opposite half.
Group Activities
Use the in-depth problem-solving investigation ‘Happy Halving’ from NRICH as today’s group activity.
Or, use these activities:
-- Find half of shapes in different ways, including folding.

Day 2 Teaching
Fold a piece of paper into quarters. Stress that quarters must all be the same size. One cannot be larger than the others as it wouldn’t be fair! Show how to shade different shapes in quarters.
Group Activities
-- Find a quarter of a set of illustrations by folding strips of paper.
-- Fold shapes to find a quarter.

Day 3 Teaching
Quickly revisit folding to give halves and quarters by modelling with a circle of paper. Next, show an example of a shape that can be folded in half one way, but not the other. Show an example of a shape that can not be folded in half.
Group Activities
-- Investigate halving and quartering shapes by folding.

You Will Need

  • A4 paper, pre-painted, yellow and green paint.
  • Pre-cut paper shapes (circles, squares, semi-circles, equilateral triangles, rhombuses, rectangles).
  • Cup-cakes or pictures of cakes.
  • Teddy bears.
  • Paint – red and blue.
  • ‘Decorations for party hats’ sheet (see resources).
  • Large paper shapes: circle, heart, lightning bolt
  • Lots of different paper shapes for folding investigation
  • Paper straws.

Mental/Oral Starters

Suggested for Day 1
Count on in 1s from a multiple of 10 (simmering skills)

Suggested for Day 2
Identifying multiples of 10 (simmering skills)

Suggested for Day 3
Teens numbers (simmering skills)

Procedural Fluency

Day 1
Make party mats for Teddy by colouring halves of shapes.

Day 2
Design a new party mat by colouring quarters.
Discuss shapes that are and are not divided into equal quarters; shade quarters.

Day 3
Draw fold lines to show halves and quarters.

Mastery: Reasoning and Problem-Solving

  • Draw a line across each shape to cut it in half (trapezium, dodecagon, oblong: see teaching document).
  • This strip of paper has been folded into four parts. Is each part a quarter?
  • How many quarters in 1 whole cake?

In-depth Investigation: Happy Halving
Children split shapes in half so that the two parts are exactly the same. Happy Halving from nrich.maths.org.

Extra Support

Happy Halving
Spend time on this investigation to secure children’s understanding that each of two halves must be equal in size. Happy Halving from nrich.maths.org.

Unit 4 Find half and quarter of amounts (suggested as 2 days)

Objectives

Find half and quarter of amounts
Unit 4: ID# 1523

National Curriculum
Fr (i) (ii)

Hamilton Objectives
15. Recognise, find, name a half as 1 of 2 equal parts of an object, shape (or quantity).
16. Recognise, find and name a quarter as 1 of 4 equal parts of an object, shape (or quantity).

Teaching and Group Activities for Understanding

Day 1 Teaching
Place 8 candles on a birthday cake. Model how we can cut this in half so that each half has the same number of candles. Demonstrate 4 candles on each half. Record 1/2 of 8 = 4. Repeat to find half of a cake with 12 smarties. Record 1/2 of 12 is 6.
Group Activities
Use the ‘Halving Chains’ in-depth problem solving investigation below as today’s group activity.
Or, use these activities:
-- Divide a tower of cubes equally to find 1/2 of that number.
-- Use paper plates divided in half to investigate halves of numbers.

Day 2 Teaching
Use a pizza with 8 bits of tomato/pepperoni. Demonstrate how we can divide the pizza into 1 half and then into half again to get quarters. Stress that the quarters must be identical. They each have 2 pieces of tomato. 1/4 of 8 = 2. Repeat.
Group Activities
-- Cut out shapes and fold them to make quarters.
-- Find 1/4 of numbers by breaking towers of cubes into half and half again.

You Will Need

  • Cake and candles, Smarties and blunt knife and plates
  • Number cards 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 28
  • Cubes, stickers, paper plates and strips of paper
  • Cold pizza, pepperoni pieces, tomato pepper and pizza cutter
  • ‘Finding quarters’ sheet (see resources)
  • Scissors

Mental/Oral Starters

Day 1
Doubles and halves (pre-requisite skills)

Suggested for Day 2
Finding doubles (simmering skills)

Procedural Fluency

Day 1
Share out amounts of pepperoni to find half of quantities.

Day 2
Share out the sweets to find a quarter of quantities.

Mastery: Reasoning and Problem-Solving

  • True or false?
    There are 2 quarters in each half.
    Sometimes 1 quarter is larger than another.
    Half of 8 is 4.
    A quarter of 8 is 4.
  • Make a line of 20 cubes.
    Break it into quarters.
    How many in each quarter?
  • Here is a line of 12 cubes. Is 1/4 of them shaded?
////

In-depth Investigation: Halving Chains
Children investigate which numbers from 1 to 20 will give the longest halving chain (each ‘link’ must be a whole number).

Extra Support

Squabbling Squirrels
Halving even numbers up to 12