Display the Math Practices page where all students can see it.
If you have not done so already, attach Small Multiplication Tables
to students' desks for reference. (See Unit 4.)
Gather sets of Fraction Circle Pieces. (See Lesson 6.)
Gather a set of measuring cups of different sizes: 1/8, 1/4, 1/2, 3/4, 1 cup (Lesson 8).
Students will need the following tools readily available for the Daily Practice and Problems items in this unit:
- Triangle Flash Cards: 9s (stored in an envelope)
- calculators
- rulers (use the Centimeter and Inch Ruler Master in Lesson 6, if needed)
- fraction circle pieces
- Division Facts I Know Charts (from Unit 6 Lesson 1 or Master in Lesson 1)
- Fraction Chart (Student Guide) Reference
- Multiplication Strategies Menu for Larger Numbers (Student Guide) Reference
- Writing Numbers in Words (Student Guide) Reference
| LESSON | SESSIONS | DESCRIPTION | SUPPLIES |
|---|---|---|---|
LESSON 1Fraction Strips |
1–2 | Students fold uniform strips of paper into equal parts to show halves, fourths, and eighths, labeling each part according to the fraction it represents. Students use their completed strips to show specific fractions, to compare fractions, and to find equivalent fractions. In the next lesson, students expand their study as they use fraction strips to explore thirds, fourths, fifths, sixths, eighths, ninths, tenths, and twelfths. |
|
LESSON 2More Fraction Strips |
2–3 | Students continue to work with fraction strips, adding to the set of whole, halves, fourths, and eighths strips they made in the last lesson. They make strips to show thirds, fifths, sixths, ninths, tenths, and twelfths. They use their strips to compare fractions and to find equivalent fractions. |
|
LESSON 3Add, Subtract, and Multiply with Fraction Strips |
2 | Students use their fraction strips from Lessons 1 and 2 to add, subtract, and multiply fractions with like denominators. Students look for patterns in number sentences to solve a problem that cannot be represented with the fraction strips. |
|
LESSON 4Comparing Fractions |
1 | This is the first of two lessons in this unit on comparing fractions. In this lesson, students organize their fraction strips in a chart and then use the chart to compare and order fractions according to size. Students also use the fraction strips to compare fractions to the one-half benchmark. |
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LESSON 5Fractions on Number Lines |
1 | Students label number lines to show fractions. They conclude the lesson by representing both proper and improper fractions as parts of rectangles and as points on number lines. |
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LESSON 6Using Circle Pieces |
3 | Students build on their understanding of fraction concepts by exploring circle pieces as area models to represent fractions. They name fractions given different unit wholes, identify the unit whole when given a fraction, write number sentences to describe configurations of circle pieces, and represent fractions larger than 1. |
|
LESSON 7Workshop: Many Ways to Show a Fraction |
2 | Students explore representations of fractions: numbers, words, circle pieces, rectangles, fraction strips, and number lines. They play a game using circle pieces that develops flexibility representing fractions. This workshop lesson provides opportunities for students to address missing concepts, practice skills, or extend their learning as needed. |
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LESSON 8Equivalent Fractions |
2–3 | Students find equivalent fractions using their fraction charts from Lesson 4 and the fraction circle pieces. They write number sentences to represent the equivalent fractions and look for patterns in the number sentences. They use these patterns to develop other ways to find equivalent fractions. |
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LESSON 9Comparing Fractions Using 1/2 |
2 | A Benchmark Number Line and the game Fraction Order provide the context for ordering and comparing fractions. Students use tools such as fraction charts, circle pieces, and benchmarks (0, 1/2 , 1) to support their reasoning. |
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LESSON 10Multiplying Fractions by a Whole |
2–3 | Students use a variety of models to multiply fractions by a whole number. They build on the models (fraction strips, circle pieces, and number lines) they have been developing. Students also represent fractions of sets of discrete objects (e.g., boxes of apples). Further, they look for patterns in tables and parallel problems to start to develop generalized procedures based on the properties of multiplication. |
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LESSON 11Workshop: More Than, Less Than, or Equal To |
1 | Students explore comparing, ordering, and finding equivalent fractions using a variety of representations. This workshop lesson provides opportunities for students to revisit concepts in new contexts, practice skills, apply concepts, or extend their learning. |
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LESSON 12Fraction Puzzles |
1–2 | Given clues, students work in groups of four to solve fraction puzzles. After solving the fourth fraction puzzle, students work independently to explain their solutions and to communicate their problem-solving strategies. Sample student work and the Math Practices page are used as guides for exemplary work. |
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