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Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer Institute 2011

Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

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Page 1: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Addition and Subtraction of Fractions Part 1

Class 7

June 28, 2011

Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer Institute 2011

Page 2: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2011

Learning Intentions

We are learning to Develop “operation sense” related to adding and subtracting

fractions. Understand how estimation should be an integral part of fraction

computation development. Read and interpret the cluster of CCSS standards related to

addition/subtraction of fractions

We will know we are successful when we can Justify our thinking when adding and subtracting fractions using

concrete models and estimation strategies. Clearly explain and provide examples for specific CCSS standards

Page 3: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2011

Big Ideas for Addition and Subtraction of Fractions

Fraction addition and subtraction concepts build from and are dependent upon: Foundational part-to-whole ideas Equivalence ideas Magnitude ideas

Procedural fluency and conceptual understanding work together to deepen student understanding of fraction addition and subtraction.

Page 4: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2011

Launch: Building on What We Know

Use a model to answer this question:

There are some candies in a dish.

2/5 of the candies are chocolate

3/10 of the candies are peppermint

Are there more chocolate or peppermint candies?

Page 5: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2011

Using Estimation

Aunt Sally has a jar that holds one cup of liquid. Her salad dressing recipe calls for 2/3 cup of oil

1/8 cup of vinegar 1/2 cup of juiceIs the jar large enough to hold all the oil,

vinegar and juice?

Page 6: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2011

Exploring Operation Sense Using Benchmark Fractions

Using your fraction strips, work through the following and have several examples for each

If you add 2 fractions and the sum is greater than ½, what can you say about the fractions?

If you add 2 fractions and the sum is greater than 1, what can you say about the fractions?

What conversations did you have with your partner that helped to develop a generalization about these contexts?

Page 7: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2011

Connections to Standard 5.NF.2

1. Read standard 5NF2. Highlighting important words and phrases.

2. In your group, discuss highlighted key ideas in this standard and questions you may have.

3. Work as a group to cite three specific examples of how the previous activity made sense of this standard.

Page 8: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2011

Standards for Mathematical Practice

Page 9: Addition and Subtraction of Fractions Part 1 Class 7 June 28, 2011 Common Core Leadership in Mathematics Project University of Wisconsin-Milwaukee, Summer

Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, Summer Institute 2011

Success Criteria

We will know we are successful when we canJustify our thinking when adding and subtracting fractions using concrete models and estimation strategies.Clearly explain and provide an example for specific CCSS standards