Curriculum & Professional Learning

Common Core Math Standards for Parents

Mark Freathy

Give an overview of why the Common Core State Standards were created.

How will the CCSS impact our instruction?

How will the new standards impact your child?

Let’s do some math!

Goals for today

How will moving to the Common Core State Standards help us provide more effective instruction?

Minimize what is no longer important, and teach what is important when it is appropriate to do so.

Steve Leinwand

A+ Countries United States

A+ Countries United States

A+ Countries United States

“mile-wide-inch-deep”

This is what it means when critics say that we have a curriculum that is……..

How Will This Affect My Child?

8

New math materials

Explain “Why” and “How do you know?”

Fewer topics, but each studied more in-depth

Use multiple methods to explain the same problem

Assessment will look different than the current CST

Testing is slated to begin in 2014-2015.

Smarter Balanced Assessment Consortium• Testing for grades 3-8, and 11 • Computer based, but perhaps a pen and paper option

during time of transition• Results are available in a couple of weeks—allowing

for use of formative data.• Balanced approach to assessment

• Concepts & Procedures• Problem Solving• Communicate Reasoning• Modeling and Data Analysis

Why multiple methods? Fractional Thinking

4

317

4

65

4

3

4

68

4

3

4

416

4

116

Traditional Decomposition

4

116

4

116

16 17

4

1

Number line

4

3

41

417 4

3116

Decomposition

1472

6000

4000 +

1472

15999

4527 + 1=

519191

2704001000

10909005000

500 + 20 + 8

4528

= 4528

Making Connections with Decomposition

8 + 3Ten Frame Number line

Decomposition

0 10

8 +

Decomposition

8

Decomposition

3

Decomposition

8 + 2 + 1

Decomposition

11

11

11

5 + 6 = FocusTraditional Method #2 Method #3

5 + 6 =

If my students can already know their math facts do I need to make them show more than one way?

11

5 + 6 = 5 + 6 =

5 + 5 + 1

10 + 1=

Making ConnectionsBreak apart strategy leads

to Decomposition

Integers Writing Mixed #’s Having # Sense

-5 + 6 =

This is an example of coherence in the Common Core Standards.

-5 + 5 + 1 =

6

11

1 6

5

6

6

6

51

85 + 47 =

85 + 15 + 32 =

132

1

Why does the Common Core put such a great emphasis on strategies and understanding?

15

Researcher Katherine Garnett says:

Learning number facts is far more complex than just practicing them until they stick; it includes developing and employing a number of strategies for navigating the number system.

Break Apart Strategy & Benchmark Numbers(this will be called decomposition in later grades)

Making “10” Multiples of “10” Making “100”8 + 6 =

8 + 2 + 4 = 14

98 + 47 =

98 + 2 + 45=145

7 + 5 =

37 + 25 =

37 +3 +22 = 62

68 + 26 = 96 + 35 =

Now you try

7 + 3 + 2 = 12 68 + 2 + 24 = 94 96 + 4 + 31=131

This leads into the study and use of “benchmark numbers”

Round 128 to the nearest Ten Using <,>, or = compare

128 120 130 0 1

12

7

8

3?

2

1

12

7

8

3

Using the number line to “add on”245 – 178=

178 245180

67

+2+20

200

+40

How far is it from 178 to 245 on the number line?

240

+5

Using the number line to “add on”You Try

29 68 30

68 – 29 =

+1+30

60

+8

39

Using the number line to “add on”You Try

261 500 270

500-261=

+9 +30

300

+200

239

A coherent strategythe part/part/whole model

Part ?

Whole

Part

A tree has 8 birds in it. 3 birds fly away. How many are left in the tree?

?

8

3 5

12 pieces of candy are shared equally among 3 students. How many will they each get?

12

3n = 12

nn

n = 4

n4 44

18

n

n = 6

6 66

What is ⅓ of 18?

Use the bar model to solve word problems.

10

n = 30

10

n

10 is ⅓ of what number?

10

Use the bar model to solve word problems.

20

55

What is ¾ of 20?

15

5 5

Use the bar model to solve word problems.

?

2.5 is 20% of what number?

5

2.5 2.5 2.5 2.5 2.5

5

12.5

How will SMARTER Balanced Assessment Determine Math Proficiency?

Total score will reflect these weighted categories:• Concepts & Procedures (40%)• Problem Solving (20%)• Communicate Reasoning (20%)• Modeling and Data Analysis (20%)

http://sampleitems.smarterbalanced.org/itempreview/sbac/index.htm

1. Play math games with your child. For example, “I’m thinking of two numbers whose product is between 20 and 30.

2. Look for everyday opportunities and objects to have your child do mathematics. For example, if you open a carton of eggs and take out seven, ask, “How many are left in the carton?”

3. Encourage your child to write or describe numbers in different ways. Examples: 48 = (40 + 8) or (50 – 2) ¾ = (¼ + ¼ + ¼) or ( ½ + ¼)

4. Encourage your child to stick with it whenever a problem seems difficult. This will help your child see that everyone can learn math.

5. Praise your child when he or she makes an effort and share in the excitement when he or she solves a problem or understands something for the first time.

6. Connect your child’s success to hard work NOT how smart they are!

7. Have your child explain why or how do you know?

What can parents do?

Questions for me?