Illustrative Mathematics Grade 1, Unit 5: Adding Within 100

In this unit, first graders add within 100, combining tens with tens and ones with ones and making a new ten when there are enough ones. They subtract multiples of ten, the numbers said when counting by tens, as in 60 - 20, and explain their thinking. It builds on tens and ones from the last unit, and next they measure lengths and count to 120.

By Math teacher, parent, and founder of Bobby’s Math Club

What is my child learning in Unit 5?

Sample questions to try together

These are real questions from our practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.

Question 1 of 3

If you have 2 tens and 4 ones, and then you get 5 more ones, how many do you have in total?

Base-ten blocks. 2 tens rods. 4 ones cubes.
  • 30
  • 29
  • 28

How you can help

  1. Use bundles of ten straws and loose ones to show 46 + 8. When there are 10 loose straws, bundle them up, and ask what the new number is.
  2. Add two prices at the store, like a 40-cent item and a 25-cent item, and ask your child to add the tens first.
  3. Count back by tens on a walk, starting at 60. Ask how many tens you took away to reach 40, and what 60 - 20 is.

Where kids can get stuck

  • Adding the 8 to the tens in 46 + 8 and writing 126.
  • Answering 48 for 46 + 20, treating the 20 like a 2.
  • Writing 4 for 60 - 20, dropping the zero in the answer.

Practice makes perfect

Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.

Words your child will hear

tens
Groups of ten. In 34, there are 3 tens.
ones
Single things not in a group of ten. In 34, there are 4 ones.
sum
The answer when you add, like 7 in 3 + 4 = 7.
compose a ten
Put ten ones together to make one ten.
multiple of 10
A number you say when counting by tens, like 30 or 70.
difference
The answer when you subtract, like 2 in 9 - 7 = 2.
place value
What a digit is worth because of its spot, like the 4 in 42 meaning 40.

Want to help your child master adding within 100?

In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.

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Robert “Bobby” Barnett

Written by Robert “Bobby” Barnett

Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.

Which math standards does Illustrative Mathematics Grade 1 Unit 5 cover?

Illustrative Mathematics Grade 1 Unit 5 covers these math standards. Each one links to what it means, sample questions, and teaching strategies.

All 1st grade math standards

For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.