Year 1 Grouping and sharing: check-up and quiz

Method. Start at 6. Count on in 2s to find the next 3 numbers.

1. Start at 6. Start with the number you are given.
   6
2. Jump on by 2 each time. Each new number is the last one plus the jump.
   6 + 2 = 8
   8 + 2 = 10
   10 + 2 = 12
3. Write the next numbers. Do not write the start number again.
   8, 10, 12

Check. Count back in 2s from 12 to 6 to check. ✓

Watch out. Do not write the number you start at. Start with the next one.

Key words. Counting in 5s means jumping on by 5 each time.

Method. Count in 5s. Every jump is the same size: 5.

1. Start at 5. Put your finger on the first number.
   5
2. Jump on by 5 each time. Each number is 5 more than the one before.
   5 + 5 = 10
   10 + 5 = 15
   15 + 5 = 20
   20 + 5 = 25
3. Write the numbers. Say them in order, one jump at a time.
   5, 10, 15, 20, 25

Check. Count back in 5s from 25 to check. ✓

Watch out. Keep the same jump all the way. Every number must be 5 more than the one before.

Method. Equal groups have the same number of things in each group.

1. Count the things in each group. Touch each thing once.
   group 1 has 2, group 2 has 3
2. Compare the numbers. The groups are equal only if every number is the same.
   Not all the same
3. Write the answer.
   No. The groups are not equal.

Check. Count the things in each group again. ✓

Watch out. Groups can look the same size on the page. Always count each group.

Key words. A group is a set of things that belong together.

Method. Put 2 in each group, and keep going until none are left. Then count the groups.

1. Make a group with 2 cubes. Each group must have the same number.
   1 group of 2
2. Keep making groups until none are left. There are 8 in all, so count the groups as you make them.
   2 + 2 + 2 + 2 = 8
3. Count the groups. Each group is one group.
   4 groups

Check. Each group has 2, and 4 groups make 8. ✓

Watch out. Count the groups, not the cubes. There are 4 groups.

Key words. Equal groups have the same number of things in each group.

Method. Add the same number 3 times, once for each group. Each group has 4.

1. Write one 4 for each group. There are 3 groups, so there are 3 numbers to add.
   4 + 4 + 4
2. Add the numbers together. Count in 4s to add them up: 4, 8, 12.
   4 + 4 + 4 = 12
3. Write the answer.
   12

Check. Count in 4s: 4, 8, 12. The last number is 12. ✓

Watch out. Write one number for every group. Do not write the number of groups instead.

Key words. A row goes across. A column goes down. An array is things in rows and columns.

Method. Count the rows. Every row has the same number, so add that number once for each row.

1. Count the rows. A row goes across.
   2 rows
2. Count the things in one row. Every row has the same number.
   5 in each row
3. Add one number for each row. Add the rows together.
   5 + 5 = 10
4. Write the answer.
   10

Check. Count down the columns too: 2 + 2 + 2 + 2 + 2 = 10. ✓

Watch out. Count each row once. Do not count a thing twice.

Key words. Double means two of the same, so double 4 is 4 + 4.

Method. A double is two equal groups. Double 4 is 4 + 4.

1. Find the two equal groups. Both groups must be the same size.
   4 and 4
2. Add the two groups together. Add 4 + 4.
   4 + 4 = 8
3. Write the answer.
   8

Check. Count in 4s: 4, 8. Two groups of 4 make 8. ✓

Watch out. A double is two groups of the same size. Do not add a different number.

Key words. To share is to deal things out so everyone has the same number.

Method. Deal the things out one at a time, so that every person gets the same number.

1. Count the stars in the pile. Start with the whole pile.
   10
2. Deal them out to 2 people, one at a time. Each person gets one, then the next one, until all are shared.
   Each person gets 5
3. Check the shares. Every share is the same. Add them to check.
   5 + 5 = 10
4. Write the answer. Each person gets 5.
   5

Check. Add the shares: 5 + 5 = 10. ✓

Watch out. Give everyone one each, then go round again. Do not give one person all of the extra things.

Key words. Counting in 2s means jumping on by 2 each time.

Method. Count in 2s. Every jump is the same size: 2.

1. Start at 2. Put your finger on the first number.
   2
2. Jump on by 2 each time. Each number is 2 more than the one before.
   2 + 2 = 4
   4 + 2 = 6
   6 + 2 = 8
   8 + 2 = 10
3. Write the numbers. Say them in order, one jump at a time.
   2, 4, 6, 8, 10

Check. Count back in 2s from 10 to check. ✓

Watch out. Keep the same jump all the way. Every number must be 2 more than the one before.

Key words. Equal groups have the same number of biscuits in each group.

Method. Add the same number 3 times, once for each group. Each group has 5.

1. Write one 5 for each group. There are 3 groups, so there are 3 numbers to add.
   5 + 5 + 5
2. Add the numbers together. Count in 5s to add them up: 5, 10, 15.
   5 + 5 + 5 = 15
3. Write the answer.
   15

Check. Count in 5s: 5, 10, 15. The last number is 15. ✓

Watch out. Write one number for every group. Do not write the number of groups instead.

Method. Count in 2s. Each number is 2 more than the one before it.

1. Look at the numbers before and after each gap. The jump is the same every time.
   2, 4, ?, 8
2. Add 2 to the number before each gap. That gives the missing number.
   Gap 3: 4 + 2 = 6
3. Write the missing numbers.
   6

Check. Count in 2s all the way along the list. Every number fits. ✓

Watch out. Check the numbers after the gap too. They should still go up in the same jump.

Method. Count in 10s. Each number is 10 more than the one before it.

1. Look at the numbers before and after each gap. The jump is the same every time.
   10, 20, ?, 40
2. Add 10 to the number before each gap. That gives the missing number.
   Gap 3: 20 + 10 = 30
3. Write the missing numbers.
   30

Check. Count in 10s all the way along the list. Every number fits. ✓

Watch out. Check the numbers after the gap too. They should still go up in the same jump.

Key words. Equal groups have the same number of stars in each group.

Method. Add the same number 2 times, once for each group. Each group has 4.

1. Write one 4 for each group. There are 2 groups, so there are 2 numbers to add.
   4 + 4
2. Add the numbers together. Count in 4s to add them up: 4, 8.
   4 + 4 = 8
3. Write the answer.
   8

Check. Count in 4s: 4, 8. The last number is 8. ✓

Watch out. Write one number for every group. Do not write the number of groups instead.

Key words. A row goes across. A column goes down. An array is things in rows and columns.

Method. Count the rows. Every row has the same number, so add that number once for each row.

1. Count the rows. A row goes across.
   3 rows
2. Count the things in one row. Every row has the same number.
   3 in each row
3. Add one number for each row. Add the rows together.
   3 + 3 + 3 = 9
4. Write the answer.
   9

Check. Count down the columns too: 3 + 3 + 3 = 9. ✓

Watch out. Count each row once. Do not count a thing twice.

Key words. Double means two of the same, so double 5 is 5 + 5.

Method. A double is two equal groups. Double 5 is 5 + 5.

1. Find the two equal groups. Both groups must be the same size.
   5 and 5
2. Add the two groups together. Add 5 + 5.
   5 + 5 = 10
3. Write the answer.
   10

Check. Count in 5s: 5, 10. Two groups of 5 make 10. ✓

Watch out. A double is two groups of the same size. Do not add a different number.

Key words. A group is a set of things that belong together.

Method. Put 2 in each group, and keep going until none are left. Then count the groups.

1. Make a group with 2 biscuits. Each group must have the same number.
   1 group of 2
2. Keep making groups until none are left. There are 8 in all, so count the groups as you make them.
   2 + 2 + 2 + 2 = 8
3. Count the groups. Each group is one group.
   4 groups

Check. Each group has 2, and 4 groups make 8. ✓

Watch out. Count the groups, not the biscuits. There are 4 groups.

Key words. To share is to deal things out so everyone has the same number.

Method. Deal the things out one at a time, so that every person gets the same number.

1. Count the stickers in the pile. Start with the whole pile.
   12
2. Deal them out to 4 people, one at a time. Each person gets one, then the next one, until all are shared.
   Each person gets 3
3. Check the shares. Every share is the same. Add them to check.
   3 + 3 + 3 + 3 = 12
4. Write the answer. Each person gets 3.
   3

Check. Add the shares: 3 + 3 + 3 + 3 = 12. ✓

Watch out. Give everyone one each, then go round again. Do not give one person all of the extra things.

Key words. Equal groups have the same number of apples in each group.

Method. Add the same number 4 times, once for each group. Each group has 5.

1. Write one 5 for each group. There are 4 groups, so there are 4 numbers to add.
   5 + 5 + 5 + 5
2. Add the numbers together. Count in 5s to add them up: 5, 10, 15, 20.
   5 + 5 + 5 + 5 = 20
3. Write the answer.
   20

Check. Count in 5s: 5, 10, 15, 20. The last number is 20. ✓

Watch out. Write one number for every group. Do not write the number of groups instead.

Method. Add up each sum, then compare the totals.

1. Add the first sum. Three plus three plus three plus three.
   3 + 3 + 3 + 3 = 12
2. Add the second sum. Four plus four plus four.
   4 + 4 + 4 = 12
3. Compare the totals. Both sums make the same total.
   12 = 12
4. Write the answer.
   Yes. Both sums make 12.

Check. Count in 3s to 12: 3, 6, 9, 12. Count in 4s to 12: 4, 8, 12. ✓

Watch out. Count in the same jump to check each sum.

Method. Double 6 means two equal groups of 6. Add them to check Ruby.

1. Find the two equal groups. Both groups must be the same size.
   6 and 6
2. Add the two groups together. Add 6 + 6.
   6 + 6 = 12
3. Compare with what Ruby said. Ruby said 12, which matches.
   12 = 12
4. Write the answer.
   Yes. 6 + 6 = 12.

Check. Count in 6s: 6, 12. Two groups of 6 make 12. ✓

Watch out. Check the answer by adding the two groups, not by guessing.