FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
Transcript of FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 1/26
Office of Curriculum, Instruction and
School Support
2013
Mathematical Practice 3:Construct Viable Arguments and Critique the
Reasoning of Others
Mathematics Implementation
Module 1
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 2/26
Module Objectives
After today’s module on
Mathematics Practice 3, teachers
will have an understanding of howstudents should CONSTRUCTVIABLE ARGUMENTS ANDCRITIQUE THE REASONING OFOTHERS in the mathematics
classroom (TLF 3b: Using2
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 3/26
CCSS District-Wide Goals
By May 2013, at a minimum, teachers will beexpected to:
engage all students in using Mathematical
Practice 3: CONSTRUCT VIABLE ARGUMENTSAND CRITIQUE THE REASONING OF OTHERS(MODULE 1)
3
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 4/26
The Intersection ofMathematical Standards
The Standards for MathematicalPractice describe varieties of expertise
that mathematics educators at all levels
should seek to develop in their students.
The Standards for Mathematical
Content are a balanced combination of procedure and understanding. They
define what students should understand
and be able to do in their study of
mathematics4
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 5/26
5
5
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 6/26
Example
Claim: The answer is 25
Evidence: 5x5=25
Warrant: “I was able to group 5 groups of 5. I then
multiplied the groups to find the solution.”
6
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 7/26
7
C
E / C
C
C / E
C
E / C
E / W
E
E
E
W
W
W
7
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 8/26
8
There are 5 ways to arrange the lizards.
Since there has to be two lizards in ahabitat, and no more than 8 lizards in the2 habitats, each ordered pair has to add
up to 8. No number can be less than 2. The graph shows the 5 possible waysEmily can arrange the lizards.
Making an organized list helps toensure finding all the possibilities.
Using a graph shows the relationshipbetween the numbers of lizards in each
habitat.8
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 9/26
9
FRUIT PROBLEMS
How much does each fruit weigh?
9
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 10/26
10
FRUIT PROBLEMS
Just to be clear…
tens digit ones digit
10
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 11/26
11
FRUIT PROBLEMS
You will be given three
minutes to individually and
privately solve the problem
on your card. Pay attention
to the steps you use.
11
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 12/26
12
FRUIT PROBLEMS
Structuring math discourse for argument:
1.Person A: Give a claim + evidence
2.Group decision: Does this evidence
support the claim? How do you know?
3.Person B: Give a claim + evidence
4.Group decision: Does this evidence
support the claim?How do you know?
(continue until all group
members share – 5 minutes)12
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 13/26
Standards for MathematicalPractice
Standard 1: Make sense of problems and persevere in
solving them
Standard 2: Reason abstractly and quantitatively
Standard 3: Construct viable arguments and critique thereasoning of others
Standard 4: Model with mathematics
Standard 5: Use appropriate tools strategically
Standard 6: Attend to precision
Standard 7: Look for and make use of structure
Standard 8: Look for and express regularity in repeated
reasoning13
Priority for 2012-13
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 14/26
Mathematical Practice 3
Constructviable
arguments and
critique
thereasoningof others
Activity:
Do a close read of Handout 2
As a table group, discuss—
What parts of MP3 do you believe you and your group used in your discussion of the
fruit problems?
What made for stronger arguments? Weaker
arguments? 14
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 15/26
Connections
Standards for
Mathematical Practice
Anchor Standards forELA and Content
Literacy
MP3: Constructviable argumentsand critique the
reasoning ofothers
Speaking and Listening 1:
Prepare for and participateeffectively in a range of
conversations andcollaborations with diversepartners, building on others’
ideas and expressing their
own clearly and persuasively.
Writing 1: Write arguments tosupport claims in an analysisof substantive topics or textsusing valid reasoning and
relevant and sufficient15
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 16/26
Ties to the Teaching andLearning Framework
16
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 17/26
1717
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 18/26
18
Read-Share-Inquire Partner A begins by making a statement that might be a summarystatement, key point, or application to their own work about their portion of the text. Partner B paraphrases Partner A and inquires: And what makes thatimportant to you? Partner A responds briefly. Partner B makes a statement that might be a summary statement,key point, or application to their own work about their portion of thetext. Partner C paraphrases Partner B and inquires: And what makes thatimportant to you?
Partner B
responds briefly. Partner C makes a statement that might be a summary statement,key point, or application to their own work about their portion of thetext. Partner A paraphrases Partner C and inquires: And what makes thatimportant to you?
Partner C responds briefly.© Groups At Work, 2011
18
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 19/26
19
Three A’s Plus One
© Groups At Work, 201119
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 20/26
20
With an elbow
partner… Post-its
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 21/26
2121
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 22/26
22
“Correct answers are
essential…but they’re part of the process, they’re not the product.
The product is the mathematics the
kids walk away with in their
heads…” -Phil Daro, co-author of CCSSM, 2012
D i i t d did
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 23/26
During our session today, didyou…
…engage in a mathematical problemintersecting content and practice
standards
…discuss the meaning of Mathematical
Practice 3: CONSTRUCT VIABLEARGUMENTS AND CRITIQUE THE
REASONING OF OTHERS and how toengage students in using this practice
…make links to the Teaching and
Learnin Framework throu h uestionin23
N t
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 24/26
NextSteps
Engage all students inusing Mathematical
Practice #3: CONSTRUCTVIABLE ARGUMENTS AND
CRITIQUE THEREASONING OF OTHERS utilizing strategies from
24
N t
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 25/26
NextSteps
-Engage with your PLC in a3 week cycle surrounding
the Math Practice Standard3.
-You pick a lesson inEnvision Math
Dates: March 5, 12, 1925
7/29/2019 FINAL REVISED Math Module 1 MP3 1 14 2013.ppt
http://slidepdf.com/reader/full/final-revised-math-module-1-mp3-1-14-2013ppt 26/26
26
Please complete thefeedback form and leave
it on your table!