About this book

Decimals that make sense, one place at a time.

Four modules take learners from shading tenths and hundredths on grids to comparing, ordering, adding and subtracting decimals with place-value reasoning. Every module follows the same seven LessonCrest steps, with help that fades as confidence grows.

  • Tenths and hundredths on grids, charts and number lines
  • Compare and order decimals using the same units
  • Add decimals by lining up the decimal points
  • Subtract decimals, rename units and check by adding
  • Fix-the-mistake pages, mixed review and an exit check
  • Answers that explain why, with help for common mistakes

What this book covers

Covered

What this book covers: tenths and hundredths on grids, place-value charts and number lines; comparing and ordering decimals; adding and subtracting decimals through hundredths.

Not covered

Not covered here: thousandths, multiplying or dividing decimals, and money problems.

Before you start, you should be able to

  • Read whole numbers in a place-value chart.
  • Know that 3/10 means 3 of 10 equal parts.
  • Line up ones with ones and tens with tens.

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

  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: Tenths and hundredthsPages 5–14
  2. Module 2: Compare and order decimalsPages 15–24
  3. Module 3: Add decimalsPages 25–34
  4. Module 4: Subtract and interpret decimalsPages 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. Extra practice, pp. 53–54
  9. Answers and explanations, pp. 55–64. Notes in this part are headed “Why”, “Common mistake”, “Help” and “Look for”.