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Math workbook

Division: Equal Groups, Sharing, and Remainders

Grades 3–5Level 2
Cover of Division: Equal Groups, Sharing, and Remainders

About this book

Share it, group it, check it.

Four modules take learners from fair sharing to making equal-sized groups, using multiplication facts to divide, and deciding what a remainder means in a story. Every module follows the same seven LessonCrest steps, with help that fades as confidence grows.

  • Fair sharing and the ÷ sign
  • Equal-sized groups, number lines and repeated subtraction
  • Fact families: use multiplication to divide and to check
  • Remainders: when to round up and when not to
  • Review pages, an exit check and a parallel retry
  • Answers that explain why, with help for common mistakes

Look inside

Page 5 of Division. Step 2, Learn It: Share equally
View page 5 larger
Page 6 of Division. Step 3, See It: See it: deal it out
View page 6 larger

What this book covers

Covered

What this book covers: division facts up to 100 ÷ 10 with equal groups, arrays, number lines, bar models, fact families, remainders and story problems.

Not covered

Not covered here: long division with bigger numbers, and fractions or decimals as answers.

Before you start, you should be able to

  • Make equal groups.
  • Use multiplication with groups and arrays.
  • Subtract small numbers.

Things to have

Let the learner deal real objects into groups whenever it helps.

Notice

Pictures in this book are simplified learning models. Check answers with the explanations at the back of the book.

The steps in this book

How the steps work
  1. Step 1: Get Ready

    Check the skills you need before you begin. If something feels tricky, an adult can help you start in the right place.

  2. Step 2: Learn It

    Read a short, clear explanation of the new idea and the words that go with it.

  3. Step 3: See It

    Watch the idea being used, one step at a time, in a worked example.

  4. Step 4: Try It Together

    Practice with prompts and help cues. The help gets smaller as you get stronger.

  5. Step 5: On Your Own

    Practice on your own with different kinds of questions, and explain your thinking.

  6. Step 6: Look Back

    Look back at earlier learning so it stays strong, then check where to go next.

  7. Step 7: Check and Fix

    Check your answers. Each answer explains why, names a common mistake, and shows how to fix it.

What is in the book

The modules

  1. Module 1: Share equallyPages 5–14
  2. Module 2: Make equal-sized groupsPages 15–24
  3. Module 3: Use multiplication relationshipsPages 25–34
  4. Module 4: Interpret leftoversPages 35–44

Contents

  1. Readiness check, pp. 3–4. Before Module 1. Its table tells you where to start.
  2. Modules, pp. 5–44
  3. Checkpoints, pp. 14, 24, 34, 44. The last page of each module.
  4. Mixed review, pp. 45–48. Questions from across the book, mixed together.
  5. Exit check, pp. 49–50. A last check across the book.
  6. Reflect and repair, p. 51
  7. Try again, p. 52. Fresh questions like those in the exit check.
  8. Further practice, p. 53. More pages of step 5, On Your Own.
  9. Extra practice, pp. 54–57
  10. Answers and explanations, pp. 58–68. Notes in this part are headed “Why”, “Common mistake”, “Help” and “Look for”.

Before this book

Work through the Multiplication book in this series first (groups and arrays).

After this book

Next in the series: Fractions.

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