Short Blocks

# Maths Year 1/2 Autumn Addition & Subtraction (A)

Each unit has everything you need to teach a set of related skills and concepts.

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The PowerPoint incorporates step-by-step teaching, key questions, an in-depth mastery investigation, problem-solving and reasoning questions - in short, everything you need to get started.

All the other resources are there to support as-and-when required. Explore at your leisure - and remember that we are always here to answer your questions.

## Unit 1 Partition numbers; learn number bonds (suggested as 5 days)

### Objectives

Partition numbers and learn number bonds
Unit 1: ID# 12174

Y1: Partition to create number bonds

National Curriculum

Y1 Hamilton Objectives
7. Know number bonds to 10, e.g. 5 + 5, 6 + 4, etc. Also know what is left if objects are taken from 10, e.g. 10 fingers, fold down 4, leaves 6 standing.
8. Begin to know pairs which make 5, 6, 7, 8, 9 and 20.
12. Solve missing number problems and addition/subtraction problems in number stories.

Y2 Hamilton Objectives
7. Know securely number pairs for all the numbers up to and including 20.
14. Recognise that addition and subtraction are inverse operations; use addition to check subtractions and solve missing number problems.

### Planning and Activities

Day 1 Teaching
Use five pegs on a hanger and a cloth to model different additions to partition 5.
Further Teaching with Y2
Use a number balance to model ‘balancing sums’ to 7, 8 and 9, e.g. 5 +  = 6 + 1
Group Activities: T with Y2
Y1 -- Make ‘snakes’ using five cubes in two colours. Record the additions.
Y2 -- Use number balances to create ‘balancing sums’.

Day 2 Teaching
Use six pegs on a hanger and a cloth to model different additions and subtractions. Use a 20-bead frame to show linked pairs to 10 and 20, e.g. 5 +  = 10 and 15 +  = 20.
Group Activities: T with Y1
Use the ‘Domino loop’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
Y1 -- Solve a missing eggs problem … or … Make pairs to 6 using egg boxes and modelling clay eggs.
Y2 -- Explore pairs of numbers that add to 20.

Day 3 Teaching
Use a stick of cubes and bar models to show pairs to 10 and 20.
Further Teaching with Y1
Break sticks of 10 in different places; write matching additions.
Group Activities: T with Y1
Y1 -- Explore pairs to 10, making ‘snakes’ of cubes in two colours or by matching sticks of 10 cubes to bar models.
Y2 -- List all possible additions and subtractions for 10 or 20 to go with a number story.

Day 4 Teaching
Use fingers to find pairs to 10 and record additions.
Further Teaching with Y2
Use a 20-bead frame to explore complements to 20, first adding to the next 10.
Group Activities: T with Y2
Y1 -- Explore complements to 10 using sticks of cubes and number cards, or by playing number bond snap.
Y2 -- Take a card and say what needs to be added to make 20; record the matching addition and subtraction.

Day 5 Teaching
Partition 10 pegs in two colours on a hanger and record the related additions. Hide some pegs and record missing number sentences. Children say how many are hidden.
Further Teaching with Y2
Write number sentences with symbols standing for mystery numbers. Children work out what numbers they represent.
Group Activities: T with Y2
Y1 -- Place 10 spots on ladybirds in different ways. Explore all possibilities.
Y2 -- Use number facts to work out how many cubes are hidden under a cup or in a number sentence under sticky notes.

### You Will Need

• Pegs in a variety of colours (plus 6 in same colour)
• Coat hanger and cloth
• Number balance and number weights
• Coloured interlocking cubes
• Eggs made of modelling clay or real hardboiled eggs, Baskets, Egg box
• Long coloured strips of paper
• Sticky notes (two different colours)
• Modelling clay and counters
• 20-bead strings, Sand timer (e.g. 5 minute)
• ‘Slidy box' cards
• ‘Pairs to 10: cubes’ (see resources) or interconnecting cubes in the same colours
• Additional activity sheets (see resources)
• A3 paper
• Flipchart
• 0–20 number cards
• Strips of paper and plastic cups

### Short Mental Workouts

Day 1
Count on and back to 20

Day 2
Count on to 100

Day 3
Numbers to 100

Day 4
Count in tens

Day 5
Number facts up to 10

### Worksheets

Day 1
Y1: Partition five biscuits onto two plates in different ways.
Y2: Fill in missing sums with totals of 7, 8 and 9. Draw weights to create balancing sums.

Day 2
Y1: Colour eggs in boxes and write the matching addition and subtraction bond to 6.
Y2: Partition 10. Find the missing numbers for the totals of 10 and 20.

Day 3
Y1: How many are needed to make 10?
Y2: Complete bar models for pairs to 10 and 20.

Day 4
Y1: Make pairs of balloons that add up to 10.
Y2: Draw bar models for pairs to 20.

Day 5
Y1: Use pairs to work out how many pegs are hidden, or cross out pegs to compete subtraction facts.
Y2: Use number facts to work out mystery numbers.

### Mastery: Reasoning and Problem-Solving

Y1

• Write the number of blank bricks in these diagrams.
Diagram1:
 6 // // // //

Diagram 2:

 7 // // // //

Diagram 3:

 5 // //

• The crocodile has 6 fish. He eats 4. How many are left?
• The mouse has 5 bits of cheese. She finds 2 more. How many has she now?
• Write all the different ways of making 7, e.g. 1 and 6. Make sure you have them all!
• Fill in the missing numbers.
5 + ☐ = 10
7 + ☐ = 10
2 + ☐ = 10

Y2

• Write the pairs of possible missing numbers:
 20 11 ? ?
• How many different ways are there of writing numbers in the two boxes in this sentence?
☐ + ◯ = 10
What if the two boxes = 9? Or = 8?
• You have 21 cards: numbers 0 to 20. You can create how many pairs of numbers making 20? Write these. Write the pair you cannot create.

In-depth Investigation: Domino Loop
Children make loops of dominoes such that meeting ends have a given total number of spots.

### Extra Support

Y1
Give Me Five

Stick Sums

Y2
Ten Totally Rocks

Finding pairs with a total of 10

## Unit 2 Add by counting on in 1s or 10s (suggested as 3 days)

### Objectives

Add by counting on in 1s or 10s
Unit 2: ID# 12190

Y1: Add small numbers by counting on
Y2: Add 10, 11, 20 and 21

National Curriculum
Y1: Addition and subtraction (i) (iii)
Y2: Addition and subtraction (i) (iii)

Y1 Hamilton Objectives
10. Recognise the + and – and = signs, and use these to read and write simple additions and subtractions.
11. Add small numbers by counting on.

Y2 Hamilton Objectives
10. Add a 2-digit number and 10s.

### Planning and Activities

Day 1 Teaching
Use ‘spider counting’ to count in 10s, then to add 10 to a number on the 100-square.
Further Teaching with Y1
Demonstrate how to add by counting on, using soft toys getting onto a ‘bus’.
Group Activities: T with Y1
Use the ‘Dotty triangle corners’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
Y1 – Add by counting on, to a maximum of 10 or 11.
Y2 -- Add 10, then 20 to 2-digit numbers on a 100-square.

Day 2 Teaching
Model counting on 1, 2, 3, 4 and 5 more, from five fingers.
Further Teaching with Y2
Count on from 7p in 10s using 10p coins. Add 10p to prices.
Group Activities: T with Y2
Y1 -- Add by counting on, either with a snake of cubes, or spots on dominoes. Order dominoes.
Y2 -- Make 2-digit prices less than 90p, adding 10p.

Day 3 Teaching
Count on 1, 2 and 3 from numbers on a 20-bead bar.
Further Teaching with Y2
Add 10, then 11 to numbers on a 100-square. Add 20, then 21.
Group Activities: T with Y2
Y1 -- Add 1, 2 or 3 to numbers to 20 by counting on.
Y2 -- Add 10 and 11, then 20 and 21 to numbers between 20 and 70 on a 100-square. Some children will focus on adding 11p to 2-digit prices.

### You Will Need

• ‘1-100 grid ’ (see resources)
• Plastic spider and 10 soft toys
• A3 paper and two large spotty dice
• 10s and 1s place value dice or cards
• Sticky notes and sets of dominoes
• Coins (1p, 2p, 5p, 10p) and a tin
• Five items with 2-digit prices less than 90p
• Coloured interlocking cubes
• Strips of coloured paper
• 20-bead bar and dice with faces labelled +1, +2 and +3
• 1–6 spotty dice and a dice labelled 1, 1, 1, 2, 2, 2
• Five items with price tags

### Short Mental Workouts

Day 1
Count on

Day 2
Pairs to 10

Day 3
Finger pairs to 10

### Worksheets

Day 1
Y1: Count on to find the total of two dice.
Y2: Use addition to fill in vertical strips from a 100-square.

Day 2
Y1: Count on to find the number of fingers.
Y2: Add 10p to cake prices.

Day 3
Y2: Add 10 and 11. Add 10 and 11, 20 and 21.

### Mastery: Reasoning and Problem-Solving

Y1

• Draw 5 faces on a bus. Let 2 or 3 people get on. How many on the bus now? Write the addition.
• What is 5 add 4?
• Use a 0 to 10 number line to help you complete the sums below:
Point at the first number and count on.
5 + 3 = ☐
6 + 1 = ☐
4 + 4 = ☐
7 + 2 = ☐
• 5 little frogs
Sitting on a log
On hop 3
• How many can there be?

Y2

• What number adds to 63 to make 83?
What number adds to 29 to make 40?
What number adds to 50 to make 71?
• Write the missing numbers in the sequences:
13 ☐ 53 ☐ 93 113
42 ☐ 64 75 ☐ ☐
• Complete this grid:

 + 31 ? 11 ? 58 ? 43 ?
• Write the missing numbers.
32 + ☐ = 43
57 + ☐ = 78

In-depth Investigation: Dotty Triangle Corners
Children use trial and improvement to find different ways of making a given total by adding three numbers.

### Extra Support

Y1
What's Next Norris?
Saying the next number after any number from 1 to 9

Room For One More!
Adding 1 to any number from 1 to 9, by saying the next number

Y2
Spider's Workout

Adding and subtracting 10 using a 100-square

Easy Come, Easy Go
Adding and subtracting 10, using coins

## Unit 3 Counting back; understand + and – (suggested as 5 days)

### Objectives

Subtract by counting back; understand + and –
Unit 3: ID# 12206

Y1: Count back to subtract, inverse operations, word problems.
Y2: Count back 2, 10, 11, 20, 21, inverse operations, word problems.

National Curriculum
Y1: Addition and subtraction (i) (iii) (iv)
Y2: Addition and subtraction (i) (iii) (v)

Y1 Hamilton Objectives
10. Recognise the + and – and = signs, and use these to read and write simple additions and subtractions.
11. Add small numbers by counting on and subtract small numbers by counting back.
12. Solve addition/subtraction problems in number stories.

Y2 Hamilton Objectives
10. Add a 2-digit number and 10s.
11. Count back in 1s or 10s or use number facts to take away.
14. Recognise that addition and subtraction are inverse operations; use addition to check subtractions and solve missing number problems.
15. Solve problems involving addition and subtraction of numbers, quantities and measures, using recall of number facts and appropriate models and images.

### Planning and Activities

Day 1 Teaching
Count on and back on a 1–20 number track. Point to a number: Y1 Say the number that is 1 less; Y2 Say the number that is 2 less.
Further Teaching with Y1
Using a bus context, model counting back 1 and 2 to subtract from numbers to 10.
Group Activities: T with Y1
Use the in-depth problem-solving investigations ‘Number Balance’ (Y1) or ‘Getting the Balance’ (Y2) from NRICH as today’s group activity.
Or, use these activities:
Y1 – Count back to find how many dogs are left in the rescue centre, or are left on the bus.
Y2 -- Subtract 2 from 2-digit numbers using bead strings or the 100-square.

Day 2 Teaching
Start with 10 pegs on a coat hanger. Keep removing one or two pegs, recording subtractions until no pegs are left.
Further Teaching with Y2
Use ‘spider counting’ to count back in 10s on a 100-square. Subtract 10, then 20 from 2-digit numbers.
Group Activities: T with Y2
Y1-- Make a tower of cubes and take away the number on a dice. Record the number sentence.
Y2 -- Subtract 10 to make 2-digit numbers on a 100-square. Subtract 10, then 20 by filling in ‘strips’ from a 100-square.

Day 3 Teaching
Place five cubes in a hat. Roll a large dice, sides labelled +1, +2, +2, –1, –2 and –2. Children add and subtract accordingly, with
Y2s -- Recording number sentence
Further Teaching with Y2
Subtract 10, then 11 from numbers on a 100-square. Subtract 20, then 21.
Group Activities: T with Y2
Y1 -- Game with towers of cubes. Take away and add 1 and 2 to see who can reach 10 or 0 cubes first.
Y2 -- Subtract 10 and 11 from numbers between 40 and 100 on a 100-square. Some children will also subtract 20 and 21.

Day 4 Teaching
Group Activities: T with Y1
Y1 -- Explore the relationship between adding and subtracting by calculating how much money is left when a child spends some and then earns some back.
Y2 -- Work out what subtraction needs to be done to ‘undo’ an addition (+11, +21) and vice versa. Some children will write addition and subtraction chains,

Day 5 Teaching
Read a word problem about dogs in a rescue centre. Model how to use fingers or cubes to represent numbers in the story. Write a matching calculation and repeat with other stories.
Group Activities: T with Y1 or Y2
Y1 -- Explore practical number stories using equipment to represent numbers; create ‘leaf posters’ to show number sentences.
Y2 -- Choose to add or subtract to solve ‘worm’ number stories.

### You Will Need

• ‘1–20 track’ (see resources)
• ‘Count back bus’ (see resources)
• How many dogs? (cut out images so that you can subtract from any number between 5 and 10 - see resources)
• Additional activity sheets (see resources)
• Two dice, one labelled 1, 1, 1, 2, 2, 2 and one labelled 2, 2, 2, 3, 3, 3
• 5 red pegs, 5 yellow pegs and coat hanger
• Number cards 5–10 and 5–15
• 10s and 1s place value dice or cards
• Flipchart, Sticky notes
• Interlocking cubes, a hat and plastic spider
• Large dice, labelled +1, +2, +2, –1, –2, –2
• A3 paper, Strips of paper
• 20-bead bar and ten £1 coins
• Leaves

### Short Mental Workouts

Day 1
Count on to 100

Day 2
Count on and back in 10s

Day 3
Count back

Day 4
Count on and back in 10s

Day 5
Number bonds to 10

### Worksheets

Day 1
Y1: Subtract 1 or 2 frogs. Subtract 1 or 2 using the context of people getting off a bus.
Y2: Subtract 2 on a beaded line. Subtract 2 to fill in ladders.

Day 2
Y1: Work out how tall the tower is after some cubes have fallen off.
Y2: Use subtraction to fill in vertical strips from a 100-square.

Day 3
Y1: Add/subtract 1, 2 or 3 cubes to/from a bag.
Y2: Subtract 10 and 11, 20 and 21.

Day 4
Y1: Add then subtract 2 or 3 cubes to/from towers.
Y2: Add then subtract 10, 11, 20 and 21.

Day 5
Y1: Dog addition and subtraction number stories.
Y2: Garden addition and subtraction number stories.

### Mastery: Reasoning and Problem-Solving

Y1

• Set up using small world play equipment.
There are 7 ducks in the pond. If 2 get out, how many are left?
Write a matching number sentence. If 3 more get in, how many ducks are on the pond? Write a matching number sentence.
If 2 get out, how many are left on the pond? Write a matching number sentence.
• Draw a number track from 1 to 10.
 1 2 3 4 5 6 7 8 9 10

Place your counter on a number. Write it. Now hop along 2. Where do you end up? Write the addition. Repeat.
Place your counter on a number. Write it. Now hop back 2. Where do you end up? Write the subtraction. Repeat

• Write the missing numbers:
7 – 3 = ☐
5 + ☐ = 6
☐ + 2 = 5

Y2

• What number is subtracted from 83 to give 73?
What number is subtracted from 50 to give 29?
What number is subtracted from 48 to give 37?
• Write the missing numbers in the sequences:
76, 56, ☐, ☐
☐, 85, 74, ☐, ☐
☐, ☐, 45, ☐, ☐, 39
• Write the missing numbers:
76 – ☐ = 55
☐ – 11 = 47
• How many times can 21 be subtracted from 100 before you get a number smaller than 21?

In-depth Investigation
Y1: Number Balance
Can you hang weights in the right place to make the equaliser balance? Number Balance from nrich.maths.org.

Y2: Getting the Balance
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced? Getting the Balance from nrich.maths.org.

### Extra Support

Y1
What's Before Beryl?

Saying the number before any number up to 6, then 10

Dig for Acorns
Subtracting 1 from any number from 2 to 6, and then from 2 to 10, by saying the number which comes before

Y2
Spider's Workout

Adding and subtracting 10 using a 1-100 grid

Easy Come, Easy Go
Adding and subtracting 10 using coins