1

Common Core State Standards (CCSS)

Math for Indiana Grades 6-7-8

• Fewer • Clearer • Higher

Bob Trammel [email protected]

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Our Goals and Expectations



Learn all the information that I can about the C ommon C ore S tate S tandards. ( CCSS )



Learn about S tandards for M athematical P ractice. ( SMP )



Learn about S tandards for M athematical C ontent. ( SMC )



Learn how to correctly implement SMP SMC together for school year 2011-12.

and

3

A Few Things to Start With!

 Cell Phones Off Please  Be an Active Participant!

  This is your workshop not mine!

Let’s start with a quick introduction and warm welcome.

4

Ice Breaker Activity

 On the back of your agenda …………..

  Write 4 simple statements about yourself. Make 3 of them true and 1 of them false in random order.

Don’t make the statements too complicated.

 Keep these hidden please.

 In a couple of minutes we will have some fun.

5

Bob’s 4 Statements

See if you can pick the false statement from the below list!

  I ride a Harley motorcycle for fun.

I’m a graduate of Notre Dame.

 I played on my high school basketball team.

 I have taught elementary school.

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Essential Questions to Ponder!

 How stressed-out should I be about the CCSS? (Common Core State Standards)  Who is going to design the assessments?

 What caused the CCSS?

 When are they (CCSS) going to impact me and the kids?

 Where can I find resources to help?

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Let’s Get Cracking!!!!

 Useful Web Site Resources - corestandards.org

- doe.in.gov/commoncore  Arizona Department of Education

Handouts for Today (Morning Only)

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• Transition Document for school year 2011-12 later • CCSS for grades 6-7-8.

Indiana Common Core Standards Grade 6 Indiana Common Core Standards Grade 7 Indiana Common Core Standards Grade 8

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By Grade Level Tables (6-7-8) Or Tables (use the common core handout)

Read

and

Comment

about………

 Introduction  CCSS Philosophy  Role of the Teacher  Assessment Horizon 

Connecting Standards for Mathematical Practice(SMP) to Standards for Mathematical Content(SMC)

 Grade Level Overview

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Domains for

CCSS

Math Grades 6-7

 Ratios & Proportional Relationships (RP)  The Number System (NS)  Expressions & Equations (EE)  Statistics & Probability (SP)  Geometry (G)

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Domains for

CCSS

Math Grade 8

  The Number System (NS)  Expressions & Equations (EE)  Statistics & Probability (SP)  Geometry (G)

Bridging Concepts for Grades 6-7-8-Algebra 1

Grades 6&7

Ratios & Proportional Relationships (RP) The Number System (NS) Expressions & Equations (EE) Statistics & Probability (SP) Geometry (G)

Grade 8 FUNCTIONS (F)

The Number System (NS) Expressions & Equations (EE) Statistics & Probability (SP) Geometry (G)

12 Algebra 1 (Conceptual Categories)

 Number and Quantity    Algebra Functions Statistics & Probability

13

Jigsaw Activity

5 groups each assigned to the

Expressions & EQUATIONS (EE)

domain covering math  CCSS 6-7-8.

Group 1  Group 2  Group 3  Group 4  Group 5

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Group Assignments

EE (EXPRESSIONS and EQUATIONS)

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Directions for the Groups

See Next Slide

      Get “3” sheets of flip chart paper. Place your group number at the top of each page.

Label each sheet as Grade 6 , Grade 7 , Grade 8 On each grade level sheet, place the standard code……i.e., 6.EE. 1 Summary each standard in your own words .

If possible give an example to help explain the standard.

Old stuff, new stuff, I’m too sure stuff

6.EE.1

Write and evaluate numerical expressions involving whole-number exponents.

Example of Flip Charts

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6.EE.1

Group 2-Grade 6

Write and evaluate expressions with exponents.

Example: Write an expression for these words; Four more than the square of a number.

Example: Evaluate 7 + 3 4 – 16 Old Stuff??: “Evaluate” is covered in IAS 6.5.5 (Area of Circle) ………Actually done in grade 7.1.4 NEW Stuff “ Write” is void in IAS grade 6….Actually 7.1.1 & 7.3.1

----------------------------------------------------- LEAVE SPACE FOR LATER!

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Now Let’s Look Across Grades>>



Fewer?



Clearer?



Higher?

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Standards Mathematical Practices (SMP)

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others .

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

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Assignments by Groups Standards Mathematical Practices(SMP)

     Group 1 ………….. SMP 1 and 6 Group 2………….. SMP 2 and 3 Group 3……………SMP 4 and 5 Group 4………….. SMP 7 and 8 Group 5………… Divided Among Groups 1-4 Use the Common Core State Standard Handout  Give a summary of each SMP……debrief 15 minutes.

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SMP 7 and SMP 8

SMP 7: Look for Structure

(10 + 2)

Distributive Prop; 25(12) = 25(10) + 25(2)= 250 + 50 = 300 Addition Property of Equality; x – 6 = 30 x – 6 + 6 = 30 + 6 (x + 2) 2 = (x + 2)(x + 2) because of exponent 2

SMP 8

Look for and express regularity in repeated reasoning 21

  (x – 1)(x + 1) = x 2 + 1x – 1x – 1 2 = x 2 – 1 After Repeated Examples Similar to the above……….

 (x – 5)(x + 5) = x 2 - 25 ---------------------------------- Irrational and Rational Numbers ??

22 Fact

: Many of the CCSS start with these verbs…….

 Apply  Understand  Use  Solve  Explain

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Go back to the Expressions and Equations CCSS

 Identify which mathematical practice(s) make be used to teach the expressions and equations standard.

 Give example(s)

6.EE.1

Write and evaluate numerical expressions involving whole-number exponents.

Example of Flip Charts

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6.EE.1

Write and evaluate expressions with exponents.

Example: Write an expression for these words; Four more than the square of a number.

Example: Evaluate 7 + 3 4 – 16 Old Stuff??: “Evaluate” is covered in IAS 6.5.5 (Area of Circle) ………Actually done in grade 7.1.4 NEW Stuff “ Write” is void in IAS grade 6….Actually 7.1.1 & 7.3.1

----------------------------------------------------- SMP 1 : Make sense of problems: 5 + 3 2 = 5 + 3(3) = 5 + 9 = 14 SMP 4 : Modeling: Write and Expression for : Four more than the square of a number.

SMP 8 : Repeated Reasoning: Evaluate: 4 3 = (4)(4)(4) factor “3” time = 64

Marzano’s 9 Best Instructional Practices

Categories of Instructional Strategies That Affect Student Achievement (in order) 25

1.

2.

3.

4.

5.

6.

7.

8.

9.

Identifying similarities and differences Summarizing and note taking Reinforcing effort and providing recognition Homework and practice Nonlinguistic representations Cooperative Learning Setting objectives and providing feedback Generating and testing hypotheses Questions, cues, and advanced organizers

Compare and Contrast These Two Best Practices Lists

SMP Marzano’s Top 9 1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others .

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

1. Identifying similarities and differences 2. Summarizing and note taking 3. Reinforcing effort and providing recognition 4. Homework and practice 5. Nonlinguistic representations 6. Cooperative Learning 7. Setting objectives and providing feedback 8. Generating and testing hypotheses 9. Questions, cues, and advanced organizers

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Rationale Behind CCSS

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      

NCLB

has some holes in this federal legislation.

Equity issue from state to state.

Funding problems.

Special needs students and ELL students.

States were mandated to make substantial educational changes on their own.

States can no longer set educational standards and expectations independently!

We need to better-prepare our students for the future.

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An Example of an Equity Issue.

MEAP Grade 8 Math

2009 

35 MC Items

30 MEAP (Michigan Education Assessment Program)

Functional Independence Grade 8 Mathematics Released Item Booklet.

What is the rule for the pattern below?

4, 8, 12, 16,_____ A

add 2

B

add 1

C

add 4

31 MEAP (Michigan Education Assessment Program)

Functional Independence Grade 8 Mathematics Released Item Booklet.

Use the coins below to answer question 33.

How much money is shown?

A

27¢

B

37¢

C

47¢

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Who’s Behind CCSS Initiative?



NGA

(

N

ational

G

overnors’

A

ssociation) 

CCSSO

(

C

ouncil of

C

hief

S

tate

S

chool

O

fficers)

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How are we going to assess these Common Core State Standards (

CCSS

)?

 PARCC

P

artnership for

A

ssessment of

R

eadiness for

C

ollege and

C

areers  CTB Mc Graw-Hill Out  25 states involved in these assessments  Move to better prepare our students for the future……..let it be college ………let it be work.

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How is this stuff ( CCSS ) going to roll-in?

35 School Year 2011-12 CCSS (Common Core State Standards)



Kindergarten will implement the CCSS first.



All other grades will teach the IAS (Indiana A cademic S tandards) and sample a few CCSS at grade level.



ISTEP+ Testing and ECA Testing will measure only IAS.

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“Transition” CCSS for School Year 2011-12

  Indiana Academic Standards (IAS) classified as “classroom assessed” or “ISTEP+ assessed.” CCSS to be taught school year 2011 12…..a transition to school year 2014-15.

 When??? How???

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March ISTEP+

6

th

Grade CCSS for this year.

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1. Understand the concept of a unit rate

$5 per hamburger.”

(

CCSS 6.RP.2

)

a/b associated with a ratio a:b

with

Note: this is an extension of IAS 6.2.6. b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of

2. Solve unit rate problems including those involving unit pricing and constant speed.

For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

(

CCSS 6.RP.3b

) 3. Solve problems involving finding the whole, given a part and the percent. (

CCSS 6.RP.3c

)

Note: This extends IAS 6.2.8.

4. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. (

CCSS 6.RP.3d

)

39 School Year 2012-13 CCSS (Common Core State Standards)



Kindergarten will implement the CCSS for the second year and grade 1 for the first year.



All other grades will teach the IAS (Indiana A cademic S tandards) and sample a few CCSS at grade level.



ISTEP+ Testing and ECA Testing will measure IAS and pilot specific CCSS items.

40 School Year 2013-14 (Common Core State Standards)



Kindergarten will implement the CCSS for the third year, grade 1 for the second year, and grade 2 for the first year.



All other grades will teach the IAS (Indiana A cademic S tandards) and sample a few CCSS at grade level.



ISTEP+ Testing and ECA Testing will measure IAS and pilot specific CCSS items.

School Year 2014-15 (Common Core State Standards) 41



CCSS fully implemented at this time.



New PARCC Assessments ( P artnership for A ssessment of R eadiness for C ollege and C areers) will be administered at grades 3-HS)



These PARCC assessments will be done on computers.



Probably three or four times during the year.



New cut-scores from the input of 25 states.

42 This was a quick overview of CCSS.

 Questions……..I know you have lots of them!!

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Common Core State Standards



Fewer



Clearer



Higher

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Time to Process Information

 Next Slide

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Browse

Browsing

C

ommon

C

ore

S

tate

S

tandards Stuff www.doe.in.gov/commoncore/ #6 ………View Zachary Foughty about SMP - Hit the Link for Inside Mathematics - Arizona Website   www.corestandards.org

Google PARCC