Division
Equal Groups, Sharing, and Remainders
About this book
See it in groups. Build it in arrays. Own the facts.
Four modules take learners from equal groups to arrays, turnaround facts, splitting hard facts into easy ones, and choosing multiplication in story problems. Every module follows the same seven LessonCrest steps, with help that fades as confidence grows.
- Equal groups, repeated addition and the × sign
- Arrays, rows, columns and turnaround facts
- Split and double to find facts up to 10 × 10
- Story problems: when to multiply and when not to
- Review pages, an exit check and a parallel retry
- Answers that explain why, with help for common mistakes
Look inside
What this book covers
Covered
What this book covers: facts up to 10 × 10 with equal groups, arrays, number lines, bar models, equations and story problems, and checking a product with division.
Not covered
Not covered here: long multiplication with bigger numbers, and division beyond checking a product (division has its own book in this series).
Before you start, you should be able to
- Count objects in small groups.
- Skip count by 2s and by 5s.
- Add the same number a few times.
- Find rows and columns.
Things to have
Let the learner build groups with real objects 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
- 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.
- Step 2: Learn It
Read a short, clear explanation of the new idea and the words that go with it.
- Step 3: See It
Watch the idea being used, one step at a time, in a worked example.
- Step 4: Try It Together
Practice with prompts and help cues. The help gets smaller as you get stronger.
- Step 5: On Your Own
Practice on your own with different kinds of questions, and explain your thinking.
- Step 6: Look Back
Look back at earlier learning so it stays strong, then check where to go next.
- 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
- Module 1: Equal groupsPages 5–14
- Module 2: Arrays and turnaroundsPages 15–24
- Module 3: Derive facts from known factsPages 25–34
- Module 4: Apply and check groupsPages 35–44
Contents
- Readiness check, pp. 3–4. Before Module 1. Its table tells you where to start.
- Modules, pp. 5–44
- Checkpoints, pp. 14, 24, 34, 44. The last page of each module.
- Mixed review, pp. 45–48. Questions from across the book, mixed together.
- Exit check, pp. 49–50. A last check across the book.
- Reflect and repair, p. 51
- Try again, p. 52. Fresh questions like those in the exit check.
- Further practice, pp. 53–54. More pages of step 5, On Your Own.
- Extra practice, pp. 55–57
- Answers and explanations, pp. 58–66. Notes in this part are headed “Why”, “Common mistake”, “Help” and “Look for”.