MTL Mtg DivisionFractions

Uploaded from authorPOINTLite
Views:
 
Category: Education
     
 

Presentation Description

No description available.

Comments

Presentation Transcript

Teaching for Understanding Division with Fractions: 

Teaching for UnderstandingDivision with Fractions Dr. DeAnn Huinker, Dr. Kevin McLeod, Dr. Henry Kepner University of Wisconsin-Milwaukee Math Teacher Leader (MTL) Seminar Milwaukee Public Schools June 2005

Session Goals: 

Session Goals Deepen conceptual understanding of division with fractions. Examine “why” we can invert and multiply.

Popcorn Party Serving Size: 2 cups: 

Popcorn PartyServing Size: 2 cups How many servings from: 8 cups of popcorn 5 cups of popcorn

Summarize: 

Summarize Write the equation for each situation (8 cups; 5 cups). Identify the meaning of each number in the equations.

Summarize How many 2–cup servings?: 

SummarizeHow many 2–cup servings? 8 ÷ 2 = 4 cups cup servings serving 5 ÷ 2 = 2 cups cup serving servings

What does the represent?: 

What does the represent? One-half of a cup of popcorn? One-half of a serving? Are you sure?

Popcorn Party Serving Size: cup: 

Popcorn PartyServing Size: cup How many servings from: 1 cup of popcorn 4 cups 2 cups

Summarize How many 2–cup servings?: 

SummarizeHow many 2–cup servings? 1 ÷ = 2 cup servings 4 ÷ = 8 cups servings cup serving cup serving

Task Popcorn Parties #1 & #2: 

TaskPopcorn Parties #1 & #2 Facilitator Paper Strip Demonstrator

Slide 10: 

Algorithm

Task Popcorn Parties #1 & #2: 

TaskPopcorn Parties #1 & #2 Facilitator poses one problem at a time. Each individual silently solves it. On facilitator’s cue: State answer. Demonstrator models with paper strips. Take turns to justify your reasoning.

Popcorn Party #1: 

Popcorn Party #1 Serving Size: cup of popcorn How many servings can be made from: 1 cup of popcorn 2 cups of popcorn 3 1/2 cups of popcorn 1 4

Popcorn Party #2: 

Popcorn Party #2 Serving Size: cup of popcorn How many servings can be made from: 3/4 cup of popcorn 6 cups of popcorn 2 1/4 cups of popcorn 4 1/2 cups of popcorn 3 4

Popcorn Party Serving Size: cup: 

Popcorn PartyServing Size: cup How many servings from 4 cups?

Summarize How many 2–cup servings?: 

SummarizeHow many 2–cup servings? 4 ÷ = cups cup serving

Discussion: 

Discussion In reviewing these division situations and your solutions, what are you noticing?

Slide 17: 

X = 1 ?

Slide 18: 

7 ÷ 8 =

Slide 19: 

• = 1

Summarize How many 2–cup servings?: 

SummarizeHow many 2–cup servings? 5 ÷ =

Slide 21: 

5 • = 1

Slide 22: 

• = 1

Slide 23: 

• = 1