Making Fraction Strips

NO LABELING OF FRACTION STRIPS!• Pink: whole

• Green: halves, fourths, eighths

• Yellow: thirds, sixths, ninths

• Blue: fifths, tenths

Note relationships among the

fractions as you fold.

2

Academic Coaches – Math MeetingFebruary 15, 2013

Beth SchefelkerBridget SchockConnie LaughlinHank KepnerKevin McLeod

Apply and Extending Previous Understanding to

Operate with Fractions

3

Closest to Half

Turn and Talk:Use the task “Closest to Half” from February 1st professional practice.

What understandings or misconceptions surfaced in your student work?

3

Nearest Answer

Find the nearest answer and explain why you selected the answer you did.

⅟₁₁ + ⁸⁄₉ 1 2 9 18

⅓ + ⁷⁄₈ ¾ ⁸⁄₁₁ ⁸⁄₂₄ ⁵⁄₄

5 ⁹⁄₁₁ – 2 ⁷⁄₈ 2 3 3 ⅔ ³²⁄₃

A B C D

Learning Intentions & Success Criteria

Learning IntentionWe are learning to understand addition as combining and subtraction as the inverse.

Success CriteriaWe will be successful when we can explain why the operations of addition and subtract are the same for fractions as they are for whole numbers.

…APPLY AND EXTEND PREVIOUS UNDERSTANDING

Bridget’s Week 1 Run

Bridget is training to run a marathon by fall. She starts by running 4 miles on Monday and 5 miles on Friday. How many miles did she run?

Bridget’s Week 2 Run

Because of the snow, she was only able to run of a mile on Monday and of a mile on Friday. How many miles did she run?

Use visual fraction models to help explain your reasoning.

35

34

4.NF.3a & b

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.3. Understand a fraction a/b with a>1 as a sum of

fractions 1/b.a. Understand addition and subtraction of fractions as

joining and separating parts referring to the same wholes.b. Decompose a fraction into a sum of fractions with the

same denominator in more than one way, recording each decomposition by an equation. Justify decomposition by using a visual fraction model.

Extending Thinking to 4.NF.3b

How many different ways can you decompose the number:

9Think-Pair-Share

How many different ways can you decompose the number:

Think-Pair-Share

89

4.NF.3c & dBuild fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.3. Understand a fraction a/b with a>1 as a sum of fractions 1/b.

c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

Which Operation?

• Work in pairs.• Take turns flipping a card and reading the problem.

•Use your white boards to write an expression that represents the problem.

•Keep track of problems that raised interesting discussions.

•Discuss these problems as a table group.

Progressions Document

• Read p. 6-7 “Adding and Subtracting Fractions” (stop on p.7 at “repeated reasoning…”).

• Highlight connections to today’s session.

Discuss your understanding

1. “The meaning of addition is the same for both fractions and whole numbers, even though algorithms for calculating their sums can be different.”

2. “It is not necessary to know how much 2/3 + 8/5 is exactly in order to know what the sum means.”

3. “Converting a mixed number to a fraction should not be viewed as a separate technique to be learned by rote, but simply as a case of fraction addition.”

Learning Intentions & Success Criteria

Learning IntentionWe are learning to understand addition as combining and subtraction as the inverse.

Success CriteriaWe will be successful when we can explain why the operations of addition and subtract are the same for fractions as they are for whole numbers.

Reflection

As we’ve progressed in our study of Fractions, in what way did today’s session build on our knowledge of unit fractions and exemplify MP7. Look for and make use of structure?