COMMON CORE MATHEMATICS STANDARDS. WHERE DO I FIND COMMON CORE STANDARDS? California Common Core...

COMMON CORE MATHEMATICS STANDARDS

WHERE DO I FIND COMMON CORE STANDARDS?

•California Common Core Standards

•Go to …….

www.scoe.net/castandards

•Click on Math Common Core State Standards or ELA Common Core Standards

ALGEBRA RESOURCE GUIDE

• Great strategies are used in Chula Vista classrooms.

• How do they align with the Common Core Standards?

• Many of the strategies in the Algebra Resource Guide align with the Common Core Standards

• Some examples are…………

AREA MODEL

AREA MODEL

MULTIPLE REPRESENTATIONS

MULTIPLE REPRESENTATIONS

MULTIPLE REPRESENTATIONS

MULTIPLE REPRESENTATIONS

MULTIPLE REPRESENTATIONS

MULTIPLE REPRESENTATIONS

CHALLENGES

• Lesh Model – activity

CHALLENGES

• Manipulatives

• Local Measures

• K- 2 Ten-frames

• 3 – 4 Place Value Blocks

• 5 – 6 Cuisenaire Rods(recommended – students may use any manipulatives that they have

been using for math instruction)

CURRICULUM FOCAL POINTSK Represent, compare, and order whole numbers

Join and separate sets

1 Develop understandings of addition and subtraction and strategies for basic addition facts and related subtraction facts

Develop an understanding of whole number relationships, including grouping in tens and ones

2 Develop and understanding of the base-ten numeration system and place value concepts

Develop quick recall of addition facts and related subtraction facts Develop fluency with multidigit addition and subtraction

CURRICULUM FOCAL POINTS

3 Develop understandings of multiplication and division and strategies for basic multiplication facts and related division facts

Develop and understanding of fractions and fraction equivalence

4 Develop quick recall of multiplication facts and related division facts and fluency with whole number multiplication

Develop an understanding of and fluency with division of whole numbers (one digit divisors)

Develop an understanding of decimals, including the connection between fractions and decimals

CURRICULUM FOCAL POINTS5 Develop an understanding of and fluency with division of

whole numbers (two digit divisors) Develop an understanding of and fluency with addition and

subtraction of fractions and decimals Develop an understanding of multiplication as scaling or

resizing Develop an understanding of division of fractions (unit

fractions)6 Develop an understanding of and fluency with multiplication and

division of fractions and decimals Connect ratio and rate to multiplication and division Develop an understanding of operations on all rational numbers

PERFORMANCE ASSESSMENT RUBRIC

• Score 3 Proficient• Uses a strategy that leads to a correct solution.

• Verifies solution and addresses the reasonableness of the solution.

• Uses mathematical language and representation, but the reader may have to infer how and why decisions were made.

• Uses effective mathematical notation.

MATH CONCEPTS - KINDER

• Count forward from any given number

• Understand the relationship between numbers

KINDERGARTEN

Kinder A

KINDERGARTEN

Kinder B

MATH CONCEPTS - GRADE 1

• Count to 120

• Understand sequential order of counting numbers and their magnitudes

• Represent numbers on a number line

GRADE 1

1 A

GRADE 1

1 B

GRADE 1

1 C

MATH CONCEPTS - GRADE 2

• Count within 1000

• Skip count 2s, 5s, 10s, and 100s

• Use number lines to locate numbers

GRADE 2

2 A

GRADE 2

2 B

GRADE 2

2 C

MATH CONCEPTS - GRADE 3

• Count to 10,000 (CA Std)

Next year…

• Represent a fraction 1/b on a number line

• Partition number line into equal parts

• Represent a/b on a number line

(Common Core Standards)

GRADE 3

3 A

GRADE 3

3 B

GRADE 3

3 C

MATH CONCEPTS - GRADE 4

• Order whole numbers through millions (CA Std)

• Identify on a number line the relative position of positive fractions, positive mixed numbers, and positive decimals (CA Std)

Next year…

• Connect equivalent fractions and decimals and locate equivalent symbols on a number line (Common Core Standard)

GRADE 4

4 A

GRADE 4

4 B

MATH CONCEPT - GRADE 5

• Apply understanding of whole numbers, fractions, and decimals as they construct number lines

• Connect fractions and decimals

• Understand the relationship of fractions and decimals to the whole

GRADE 5

5 A

GRADE 5

5 B

GRADE 5

5 C

GRADE 5

5 D

GRADE 6

• Understand positive and negative numbers are used together to describe quantities having opposite values

• Understand a rational number as a point on the number line

• Find and position integers and other rational numbers on a number line

• Understand absolute value

GRADE 6

6 A

GRADE 6

6 B

QUESTIONS TO PONDER

How do we expect students to “address the reasonableness of the solution”?• Properties

• Estimation

• Numerical Relationships

What are the implications for instruction?

SCORE 4 ADVANCED

• Uses sophisticated strategies arriving at the correct solution.

• Verifies solution and/or evaluates the reasonableness of the solution.

• Uses mathematical language and representation, so all steps are clear to the reader.

• Uses precise and clear mathematical notation.