UNIT PREPARATION

Display the Math Practices page where all students can see it.

Gather sets of Fraction Circle Pieces.

Students will need the following tools readily available for the Daily Practice and Problems items in this unit:

LESSON SESSIONS DESCRIPTION SUPPLIES

LESSON 1

Facts I Know

 1–2 This lesson introduces the yearlong review of the multiplication and division facts. Students use flash cards to review the multiplication and division facts for the first group of facts, the 5s and 10s. They record both the multiplication and division facts they know and can answer quickly on the charts, which they will continue to update throughout the year. Specific DPP items in Unit 2 continue the practice of the 5s and 10s. In the DPP for Units 3–6, the other four groups of facts (2s and 3s, square numbers, 9s, and the last six facts—4 × 6, 4 × 7, 4 × 8, 6 × 7, 6 × 8, and 7 × 8) are practiced and assessed.
  • scissors
  • envelope
  • ruler
  • clear plastic spinner or paper clip and pencil

LESSON 2

Wholes and Parts

 2 Students use fraction circle pieces to represent fractions and to define a unit whole when given a fraction of the whole. They write fractions in words and numbers.
  • fraction circle pieces
  • resealable plastic bag

LESSON 3

Find Equivalent Fractions

 2–3 Students use fraction circle pieces to find equivalent fractions and compare fractions. They explore using multiplication and division strategies to find equivalent fractions and to compare fractions by finding fractions with common denominators.
  • fraction circle pieces
  • chart paper

LESSON 4

Fraction Sentences

 3 Students use fraction circle pieces to make figures and then represent the figures with number sentences. They use circle pieces to explore fractions greater than one as they develop procedures for writing a mixed number as an improper fraction, and an improper fraction as a mixed number. Students play the Fraction Fill Games to develop flexibility with decomposing fractions into the sums of smaller fractions.
  • fraction circle pieces
  • clear plastic spinner or a paper clip and pencil

LESSON 5

Fractions on Number Lines

 1–2 Students label number lines to show fractions. They conclude the lesson by representing both proper and improper fractions several ways: as parts of circles, as parts of rectangles, and as points on number lines.
  • centimeter rulers

LESSON 6

Equivalent Fractions on Number Lines

 2–3 Students use number lines to find equivalent fractions when they locate fractions that are the same distance from zero. They play the Fraction Trails Games to develop flexibility with adding fractions, breaking fractions into the sums of smaller fractions, and recognizing equivalent fractions.
  • ruler or piece of paper
  • 6 small game markers
  • clear plastic spinner or a paper clip and pencil

LESSON 7

Workshop: Fraction Concepts

 2–3 This Workshop provides opportunities for students to address missing concepts, practice skills, or extend their learning as needed. Students explore representations of fractions: numbers, words, circle pieces, rectangles, and number lines. They practice finding equivalent fractions and comparing fractions using tools and strategies. Students choose to play Fraction Fill with circle pieces or Fraction Trails with number lines to develop flexibility representing fractions.
  • fraction circle pieces
  • clear plastic spinner or a paper clip and pencil

LESSON 8

Compare Fractions to Benchmarks

 2–3 Students compare and order fractions using the benchmarks of 0, 1/2, and 1. They order sets of fractions with common denominators and sets of fractions with common numerators. Number lines provide a visual model for students as they order fractions according to size.
  • fraction circle pieces

LESSON 9

Estimate Fraction Sums

 1–2 Students determine approximate amounts of fractional parts in the context of a celebratory pizza party. They use circle pieces and number lines to figure out whether amounts are close to benchmarks of 1/2 or 1 whole.
  • fraction circle pieces

LESSON 10

Add Fractions

 2–3 Students model and solve fraction addition problems with sums less than and greater than one. They use circle pieces to convert improper fractions to mixed numbers. Students add fractions with both like and unlike denominators and explore using multiplication and division strategies to find equivalent fractions with common denominators.
  • fraction circle pieces

LESSON 11

Subtract Fractions

 2 Students estimate answers to problems involving subtraction of fractions. They use fraction circle pieces to model and solve subtraction problems. Students subtract fractions with both like and unlike denominators and explore using multiplication and division strategies to find equivalent fractions with common denominators.
  • fraction circle pieces

LESSON 12

Workshop: Problem Solving with Fractions

 2–3 This Workshop provides opportunities for students to address missing concepts, practice skills, or extend their learning as needed. Students compare fractions to benchmarks. They use tools such as fraction circle pieces and drawings to estimate fraction sums and differences. Then they practice adding and subtracting fractions with like and unlike denominators.
  • fraction circle pieces
  • scissors

x