NYS COMMON CORE MATHEMATICS CURRICULUM A Story of

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NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Grade 3 – Module 4

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Grade 3 – Module 4 © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Session Objective Prepare to implement

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Session Objective Prepare to implement Module 4 by examining mathematical models and instructional strategies in the lessons. © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Curriculum Overview of A Story

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Curriculum Overview of A Story of Units © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM • Read the descriptive narrative and underline key phrases.

NYS COMMON CORE MATHEMATICS CURRICULUM • Read the descriptive narrative and underline key phrases. • Summarize the major learnings of the modules in 1 -2 sentences. © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Moving Towards the Area Model

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Moving Towards the Area Model Module Overview, Terminology: New or Recently Introduced Terms © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units End-of-Module Assessment What concepts will

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units End-of-Module Assessment What concepts will students need to master by the end of the module? © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM Topic A Foundations for Understanding Area © 2012 Common

NYS COMMON CORE MATHEMATICS CURRICULUM Topic A Foundations for Understanding Area © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 2, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 2, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 2, Problem Set © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 2, Problem Set © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 2, Student Work © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 2, Student Work © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 3, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 3, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4 Fluency Products in an Array Lesson 4,

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4 Fluency Products in an Array Lesson 4, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4, Fluency © 2012 Common Core, Inc. All

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4, Fluency © 2012 Common Core, Inc. All

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4, Fluency © 2012 Common Core, Inc. All

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4, Fluency © 2012 Common Core, Inc. All

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Fluency Reflection How does this

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Fluency Reflection How does this fluency connect to what we have seen in this topic so far? How does this activity support the learning in Module 4? Lesson 4, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org

A Story of Units NYS COMMON CORE MATHEMATICS CURRICULUM Rectangle 1 Lesson 4, Concept

A Story of Units NYS COMMON CORE MATHEMATICS CURRICULUM Rectangle 1 Lesson 4, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org Rectangle 2

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson 4 How did Topic

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson 4 How did Topic A concretely introduce students to the concepts of area? Lesson 4, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM Topic B Concepts of Area Measurement © 2012 Common

NYS COMMON CORE MATHEMATICS CURRICULUM Topic B Concepts of Area Measurement © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Leon makes a rectangle with

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Leon makes a rectangle with 32 square-centimeter tiles. There are 4 equal rows of tiles. a. How many tiles are in each row? Use words, pictures, and numbers to support your answer. a. Can Leon arrange all of his 32 square-centimeter tiles into 6 equal rows? Explain your answer. Lesson 5, Problem Set © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 5, Student Work © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 5, Student Work © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Problem Set © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6, Problem Set © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 8, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 8, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM 8 cm 6 cm Area = ? sq cm

NYS COMMON CORE MATHEMATICS CURRICULUM 8 cm 6 cm Area = ? sq cm Lesson 8, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units 7 cm ? cm Area = 21 sq cm

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Debrief Why is there a

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Debrief Why is there a connection between a rectangle’s side lengths and its area? Lesson 8, Debrief © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson 7 What new model

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson 7 What new model do the students use in Lesson 7? How does Lesson 7 bridge the concepts from Lesson 6 to Lesson 8? Lesson 7, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM Topic C Arithmetic Properties Using Area Models © 2012

NYS COMMON CORE MATHEMATICS CURRICULUM Topic C Arithmetic Properties Using Area Models © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM © 2012 Common Core, Inc. All rights reserved. commoncore.

NYS COMMON CORE MATHEMATICS CURRICULUM © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 9, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 9, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 10, Student Work © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 10, Student Work © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 10, Student Work © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 10, Student Work © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson 11 What arithmetic property

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson 11 What arithmetic property from Module 3 do the students use in Lesson 11 to find all possible whole number side lengths of a rectangle with a given area? © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 11, Student Work © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 11, Student Work © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Idea for Topic C

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Idea for Topic C How is the work that students did in Module 3 reflected in this topic? © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic D Applications of Area

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic D Applications of Area Using Side Lengths of Figures © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units The area of Theo’s banner

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units The area of Theo’s banner is 32 square feet. If the length of his banner measures 4 feet, how wide is his banner? Amir is getting carpet in his bedroom, which measures 7 feet by 15 feet. How many square feet of carpet will Amir need? Lesson 12, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 12, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 12, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13, Concept Development © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13, Concept Development © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14 Fluency Find the Area Lesson 14, Fluency

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14 Fluency Find the Area Lesson 14, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14, Fluency © 2012 Common Core, Inc. All

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14, Fluency © 2012 Common Core, Inc. All

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14, Fluency © 2012 Common Core, Inc. All

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14, Fluency © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units a. Break apart the shaded

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units a. Break apart the shaded figure into 2 rectangles. Then add to find the area of the shaded figure below. b. Subtract the area of the unshaded rectangle from the area of the large rectangle to check your answer in Part (a). Lesson 14, Application Problem © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14, Student Work © 2012 Common Core, Inc.

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14, Student Work © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM Lessons 15 and 16 How do you see the

NYS COMMON CORE MATHEMATICS CURRICULUM Lessons 15 and 16 How do you see the concepts from Module 4 being utilized in this culminating project? Lessons 15 -16, Problem Set © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Review the End-Of-Module Assessment How

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Review the End-Of-Module Assessment How well do you feel the module prepares students for the End of Module Assessment? © 2012 Common Core, Inc. All rights reserved. commoncore. org

NYS COMMON CORE MATHEMATICS CURRICULUM Reflection Turn and Talk: • • • I’m more

NYS COMMON CORE MATHEMATICS CURRICULUM Reflection Turn and Talk: • • • I’m more clear about… I still need to process… I’m looking forward to… © 2012 Common Core, Inc. All rights reserved. commoncore. org A Story of Units

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Review Session Objective Prepare to

NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Review Session Objective Prepare to implement Module 4 by examining mathematical models and instructional strategies in the lessons. © 2012 Common Core, Inc. All rights reserved. commoncore. org