© 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRI A Story of Units A Story of Units Grade 5 – Module 4
A Story of Units
Feb 22, 2016
A Story of Units. Grade 5 – Module 4. Session Objectives. Examine the development of mathematical understanding across Grade 5 Module 4: Multiplication and Division of Fractions and Decimal Fractions. Explore specific lessons to support planning . - PowerPoint PPT Presentation
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
© 2012 Common Core, Inc. All rights reserved. commoncore.org
NYS COMMON CORE MATHE MATICS CURRI CULUM A Story of Units
A Story of UnitsGrade 5 – Module 4
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Session Objectives
• Examine the development of mathematical understanding across Grade 5 Module 4: Multiplication and Division of Fractions and Decimal Fractions.
• Explore specific lessons to support planning.
• Review key mathematical models and instructional strategies to support student understanding.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Curriculum Overview of A Story of Units
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Agenda
Module 4 OverviewLesson Study by topics – Demonstration and Practice• Topic B • Topic C• Topic E• Topic GModule Review
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Module Overview
Students extend their understanding of
Multiplication and Division of Fractions and
Decimal Fractions.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic B Demo: Fractions as DivisionLesson 3 Objective: Interpret a fraction as
division.
A baker poured 4 kilograms of oats equally into 3 bags. What is the weight of each bag of oats?
Lesson 3, CD, Problem 1.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic B Practice If the baker doubles the number of kilograms of oats to be poured equally into 3 bags, what is the weight Of each bag of oats?
Lesson 3, CD, Problem 2.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic B Demo: Fractions as Division
Lesson 4 Objective: Use tape diagrams to model fractions as division.
5 tons of gravel is equally divided between 4 dump trucks. How much gravel is in one dump truck?
Lesson 4, CD, Problem 2.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic B Practice
A 3m ribbon is cut into 4 equal pieces to make flowers. What is the length of each piece?
Lesson 4, CD, Problem 3.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic B Practice
Lesson 5 Objective: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.
• Browse the CD & Problem Set.• Study the Problem 7 in the Problem Set.
Lesson 5, CD and Problem Set.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic B Practice The Calef family likes to paddle along the Susquehanna River. a). They paddled the same distance each day over the course
of 3 days, traveling a total of 14 miles. How many miles did they travel each day? Show your thinking in a tape diagram.
b). If the Calef’s went half their daily distance each day, but extended their trip to twice as many days, how far would they travel?
Lesson 5, CD, Problem 7.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic B Practice
Lesson 5, CD, Problem 7.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic B DebriefWhat’s the main focus of Topic B?• Students learn to think of a division problem as a
fraction, and that a fraction represents a division problem.
• They use visual models such as the tape diagram, and the standard division algorithm.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic C Demo: Multiplication of a Whole Number by a Fraction
Lesson 6 Objective: Relate fractions as division to fraction of a set.
Lesson 6, CD, Problem 1.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic C Practice of the students in a class of 24 are boys. How
many boys are in the class?
Lesson 6, CD, Problem 4.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic C Demo: Multiplication of a Whole Number by a Fraction
Lesson 7 Objective: Multiply any whole number by a fraction using tape diagrams.
What is of 35?
Lesson 7, CD, Problem 1.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic C Practice
of a number is 8. What’s the number?
Lesson 7, CD, Problem 4.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic C Demo: Multiplication of a Whole Number by a Fraction
Lesson 8 Objective: Relate fraction of a set to the repeated addition interpretation of fraction multiplication.
Lesson 8, CD, Problem 1.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic C Practice
Lesson 8, CD, Problem 3.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic C Practice
Lesson 9 Objective: Find a fraction of a measurement and solve word problems.
• Browse the CD.• Study Problem 1.
Lesson 9, CD, Problem 1.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic C Debrief
What is the main focus of Topic C?
• Students interpret finding a fraction of a set as multiplication
of a whole number by a fraction.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Demo: Multiplication of a Fraction by a Fraction
Lesson 13 Objective: Multiply unit fractions by unit fractions.
Jan has pan of crispy rice treats. She sends of the pan to school with her children. How many pans of crispy rice treats does Jan send to school?
Lesson 13, CD, Problem 2.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Practice Jan has a pan of crispy rice treats. She sends of the pan to school with her children. How many pans of crispy rice treats does Jan send to school?
Lesson 13, CD, Problem 3.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Demo: Multiplication of a Fraction by a FractionLesson 14 Objective: Multiply unit fractions by non-unit fractions.
Jan had pan of crispy rice treats. She sent of the treats to school. What fraction of the whole pan did she send to school?
Lesson 14, CD, Problem 1.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Practice
Lesson 14, CD, Problem 3.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Demo: Demo: Multiplication of a Fraction by a FractionLesson 15 Objective: Multiply non-unit fractions by non-unit fractions.
Lesson 15, CD, Problem 1 and 3a.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Practice
Lesson 15, CD, Problem 3c.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Demo: Multiplication of a Fraction by a Fraction
Lesson 16 Objective: Solve word problems using tape diagrams and fraction by fraction multiplication.
Joakim is icing 30 cupcakes. He spreads mint icing on of the cupcakes and chocolate on of the remaining cupcakes. The rest will get vanilla icing. How many cupcakes have vanilla icing?
Lesson 16, CD, Problem 2.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Practice Mrs. Onusko made 60 cookies for a bake sale. She sold of them and gave of the remaining cookies to the students working at the sale. How many cookies did she have left?
Lesson 16, CD, Problem 1.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic E Debrief
What is the main focus in Topic E?
Students learn to multiply a fraction by a fraction, using
visual models to enhance conceptual understanding.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic G Demo: Division of Fractions and Decimal Fractions
Lesson 25, CD, Problem 1.
Jenny buys 2 pounds of pecans. If she puts pound in each bag, how many bags can she make?
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic G Practice Tien wants to cut foot lengths from a board that is 5 feet long. How many boards can he cut?
Lesson 25, CD, Problem 2.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic G Demo: Division of Fractions and Decimal Fractions
Lesson 26 Objective: Divide a unit fraction by a whole number.
Nolan has pan of brownies. He gives them to his 3 friends to share equally. How many pans of brownies will each friend get?
Lesson 26, CD, Problem 1.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic G Practice
Lesson 26, CD, Problem 2.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic G Practice
Lesson 31 Objective: Divide decimal dividends by non‐unit decimal divisors.
• Browse the CD.• Study the Problem Set.
Lesson 31, CD
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Topic G Debrief
What is the mainfocus for Topic G?
• Students learn to divide whole numbers by fractions
and fractions by whole numbers.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Summary of Module 4
37
Topic A: Line Plots of Fraction MeasurementsTopic B: Fractions as DivisionTopic C: Multiplication of a Whole Number by a FractionTopic D: Fraction Expressions and Word ProblemsTopic E: Multiplication of a Fraction by a FractionTopic F: Multiplication with Fractions and Decimals as Scaling and Word ProblemsTopic G: Division of Fractions and Decimal FractionsTopic H: Interpretation of Numerical Expressions
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Biggest Takeaway
Turn and Talk:• What questions were answered for you?• What new questions have surfaced?
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Key Ideas of Module 4.
Operations of fractions can be supported by a variety of visual models: tape diagrams, arrays, folding paper.
Conceptual understanding is essential.
Related Documents
