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Count On and Count Back to Add and Subtract

Students will use counting on (starting from one addend and counting up) and counting back (starting from the minuend and counting down) as strategies for addition and subtraction within 20. Students relate these counting strategies to addition and subtraction equations.

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Count On and Count Back to Add and Subtract

Grade 1 · Counting, Fluency, and Fact Strategies · question 1 of 3

0 of 12

12 rungs. A star at the top.

Lena took 2 balls from a bag. 4 are left. How many at first?

How it is taught

0:00 of 2:57

Count on to add. Count back to subtract.

Do not count the start as a step.

Read it: Count on or count back

7 + 3: start at 7 and count on 3: 8, 9, 10. 10 − 3: start at 10 and count back 3: 9, 8, 7.

  1. Start at the bigger number.
  2. Count on 1, 2 or 3 to add. Count back to take away.
  3. The last number you say is the answer.

Starting at 7 saves you counting all the way up from 1 again.

Each hop is 1 more, so 3 hops from 7 land on 10.

To take away, start at the big number and count back instead.

Start at the big number. Count on to add, count back to take away.

Saying 7 as the first count, and landing on 9.

7 is where you start. The first hop says 8: 8, 9, 10.

3 + 2 = ___ — 5. Start at 3. Count on 2: 4, 5.

7 + 3

You have seven stickers. Your friend gives you three more. How many do you have in all?

We can write that as seven plus three. Let's count on to find the answer.

Start at seven on the number line. Keep seven in your head.

Count on one more — eight.

Count on two more — nine.

Count on three more — ten!

7 stickers and 3 more — how many?7 + 3 = ?7 + 3 = 100101234567897+18+19+110ANSWER10stickers in all
Grade 1 · Start at 7 and count on 3 more

Seven plus three is ten. Counting on is a fast way to add — and counting back works the same way for subtraction.

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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