About this book

Cover it, walk around it, explain it.

Four modules take learners from covering shapes with square tiles to splitting L-shaped floors and choosing between area and perimeter for real jobs. Every module follows the same seven LessonCrest steps, with help that fades as confidence grows.

  • Measure area by covering shapes with square units
  • Rectangle area as rows × columns, and missing sides
  • Perimeter as the distance around, with length units
  • Why equal areas can have different perimeters
  • L-shaped figures: split, add, and skip interior lines
  • Review pages, an exit check and answers that explain why

What this book covers

Covered

What this book covers: covering shapes with square units, rectangle area as rows × columns, perimeter as the distance around, missing side lengths, and L-shaped (composite) figures.

Not covered

Not covered here: area of triangles and circles, formulas with letters, and changing between units.

Before you start, you should be able to

  • Count tiles arranged in rows.
  • Measure a side with a ruler.
  • Add four lengths.

Things to have

Square tiles and grid paper help.

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: Cover surfaces with unitsPages 5–14
  2. Module 2: Rectangle areaPages 15–24
  3. Module 3: Measure perimeterPages 25–34
  4. Module 4: Composite shapes and choicesPages 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. 53–56
  9. Answers and explanations, pp. 57–64. Notes in this part are headed “Why”, “Common mistake”, “Help” and “Look for”.