Transcript Common Core State Standards (CCSS) for Indiana

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
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Learn all the information that I can about the
Common Core State Standards. (CCSS)
Learn about Standards for Mathematical
Practice. (SMP)
Learn about Standards for Mathematical
Content. (SMC)
Learn how to correctly implement SMP and
SMC together for school year 2011-12.
A Few Things to Start With!
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Cell Phones Off Please
Be an Active Participant!
This is your workshop not mine!
Let’s start with a quick introduction and warm
welcome.
Ice Breaker Activity
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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.
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!
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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?
Let’s Get Cracking!!!!
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Useful Web Site Resources
- corestandards.org
- doe.in.gov/commoncore
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Arizona Department of Education
Handouts for Today (Morning Only)
• 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
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Grade 8
By Grade Level Tables (6-7-8) Or Tables
(use the common core handout)
Read and Comment about………
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Introduction
CCSS Philosophy
Role of the Teacher
Assessment Horizon
Connecting Standards for Mathematical
Practice(SMP) to Standards for
Mathematical Content(SMC)
Grade Level Overview
Domains
Domains for CCSS
Math Grades 6-7
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Ratios & Proportional Relationships
The Number System
Expressions & Equations
Statistics & Probability
Geometry
(RP)
(NS)
(EE)
(SP)
(G)
Domains for CCSS
Math Grade 8
Domains
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FUNCTIONS
The Number System
Expressions & Equations
Statistics & Probability
Geometry
NEW
(F)
(NS)
(EE)
(SP)
(G)
Bridging Concepts for
Grades 6-7-8-Algebra 1
Grade 8
Grades 6&7
Ratios & Proportional Relationships
The Number System
Expressions & Equations
Statistics & Probability
Geometry
(RP)
(NS)
(EE)
(SP)
(G)
FUNCTIONS
The Number System
Expressions & Equations
Statistics & Probability
Geometry
Algebra 1 (Conceptual Categories)
 Number and Quantity
 Algebra
 Functions
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 Statistics & Probability
(F)
(NS)
(EE)
(SP)
(G)
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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Group 1
Group 2
Group 3
Group 4
Group 5
6.EE.1
6.EE.2
6.EE.5
6.EE.7
6.EE.9
6.EE.2
6.EE.4
6.EE.6
6.EE.8
7.EE.4b
7.EE.1
7.EE.2
7.EE.3
7.EE.4a
8.EE.8a
8.EE.1
8.EE.3
8.EE.5
8.EE.7a
8.EE.8b
8.EE.2
8.EE.4
8.EE.6
8.EE.7b
Directions for the Groups
See Next Slide
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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
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 + 34 – 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
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SMP 8
Look for and express regularity in
repeated reasoning
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(x – 1)(x + 1) = x2 + 1x – 1x – 12 = x2 – 1
After Repeated Examples Similar to the
above……….
(x – 5)(x + 5) = x2 - 25
----------------------------------Irrational and Rational Numbers
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Fact: Many of the CCSS start with
these verbs…….
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Apply
Understand
Use
Solve
Explain
Go back to the Expressions and
Equations CCSS
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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
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 + 34 – 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 + 32 = 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: 43 = (4)(4)(4) factor “3” time = 64
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Marzano’s 9
Best Instructional Practices
Categories of Instructional Strategies That Affect Student
Achievement (in order)
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8.
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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
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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Marzano’s Top 9
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.
An Example of an Equity Issue.
MEAP Grade 8 Math
2009
 35 MC Items
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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
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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?
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NGA (National Governors’ Association)
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CCSSO (Council of Chief State School
Officers)
How are we going to assess these
Common Core State Standards (CCSS)?
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PARCC
Partnership for Assessment of Readiness for
College and Careers
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.
How is this stuff (CCSS)
going to roll-in?
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School Year 2011-12
CCSS (Common Core State Standards)
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Kindergarten will implement the CCSS first.
All other grades will teach the IAS (Indiana
Academic Standards) and sample a few
CCSS at grade level.
ISTEP+ Testing and ECA Testing will
measure only IAS.
“Transition” CCSS for
School Year 2011-12
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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???
March ISTEP+
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6th Grade CCSS for this year.
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Understand the concept of a unit rate a/b associated with a ratio a:b with 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
$5 per hamburger.” (CCSS 6.RP.2) Note: this is an extension of IAS 6.2.6.
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)
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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)
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School Year 2012-13
CCSS (Common Core State Standards)
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Kindergarten will implement the CCSS for the
second year and grade 1 for the first year.
All other grades will teach the IAS (Indiana
Academic Standards) and sample a few
CCSS at grade level.
ISTEP+ Testing and ECA Testing will
measure IAS and pilot specific CCSS items.
School Year 2013-14
(Common Core State Standards)
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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
Academic Standards) 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)
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CCSS fully implemented at this time.
New PARCC Assessments (Partnership for
Assessment of Readiness for College and
Careers) 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.
This was a quick overview of CCSS.
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Questions……..I know you have lots of
them!!
Common Core State Standards
 Fewer
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 Higher
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Time to Process Information
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Next Slide
Browse
Browsing Common Core State Standards Stuff
www.doe.in.gov/commoncore/
- #6 ………View Zachary Foughty about SMP
- Hit the Link for Inside Mathematics
- Arizona Website
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www.corestandards.org
Google PARCC