Adding and Subtracting Fractions
Like Units, Common Units, Mixed Numbers
About this book
See the whole, then name the part.
Four modules build fraction sense step by step, from equal parts of a shape to comparing fractions. Every module follows the same seven LessonCrest steps, with help that fades as confidence grows.
- Equal parts, unit fractions and the whole
- Fractions of a set of objects
- Fractions on number lines, including past 1
- Equivalent fractions and comparing with models
- Mixed review, an exit check and a retry page
- Answers that explain why, with help for common mistakes
Look inside
What this book covers
Covered
What this book covers: unit fractions, fractions of a region and of a set, fractions on number lines (including fractions greater than 1), simple equivalent fractions and comparing fractions of the same whole.
Not covered
Not covered here: adding, subtracting or multiplying fractions, and decimals (they come in later books).
Before you start, you should be able to
- Split a shape into equal parts.
- Count every object in a set.
- Find 0 and 1 on a number line.
Things to have
Let learners fold paper strips and use real objects.
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: Define the whole and equal partsPages 5–14
- Module 2: Fractions of setsPages 15–24
- Module 3: Fractions on number linesPages 25–34
- Module 4: Equivalence and comparisonPages 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.
- Extra practice, pp. 53–55
- Answers and explanations, pp. 56–64. Notes in this part are headed “Why”, “Common mistake”, “Help” and “Look for”.