Examining the Progression of Standards RSD Principals January 9 & 25, 2015 Sue Larson Nora...

Examining the Progression of StandardsRSD Principals

January 9 & 25, 2015

Sue Larson Nora Ramirez

OutcomesDevelop an understanding of the coherence that exists in the AZCCRS by:

• Experiencing activities from the Fractions Domain at several grade levels

• Examining documents that show the progression and interrelationships of several domains

Become familiar with resources for parents

Increase knowledge of the resources available on the NCTM website

3rd GradeFractions – about 20%

4th Grade Fractions – about 31%

5th Grade Fractions – about 33%

Fractions in the AZCCRSGrade K 1 2 3 4 5 6 7 8 HS Conceptual

Categories

Domains

CC—Counting & Cardinality

          RP—Ratios & Proportional Relationships

F—Functions F—Functions

OA—Operations & Algebraic Thinking EE—Expressions & Equations A—Algebra

NBT—Number and Operations in Base Ten NS—The Number System N—Number & Quantity

      NF—Fractions

MD—Measurement & Data SP—Statistics & Probability SP—Statistics & Probability

G—Geometry G—Geometry G—Geometry

MP—Standards for Mathematical Practice

Fractions concepts

Fraction Division Frac Dec %

Supporting Fractions in the AZCCRSGrade K 1 2 3 4 5 6 7 8 HS Conceptual

Categories

Domains

CC—Counting & Cardinality

          RP—Ratios & Proportional Relationships

F—Functions F—Functions

OA—Operations & Algebraic Thinking EE—Expressions & Equations A—Algebra

NBT—Number and Operations in Base Ten NS—The Number System N—Number & Quantity

      NF—Fractions

MD—Measurement & Data SP—Statistics & Probability SP—Statistics & Probability

G—Geometry G—Geometry G—Geometry

MP—Standards for Mathematical Practice

Fractions concepts

Fraction DivisionFrac Dec %

+ & – on number lines

Applying Fractions in the AZCCRSGrade K 1 2 3 4 5 6 7 8 HS Conceptual

Categories

Domains

CC—Counting & Cardinality

          RP—Ratios & Proportional Relationships

F—Functions

F—Functions

OA—Operations & Algebraic Thinking EE—Expressions & Equations A—Algebra

NBT—Number and Operations in Base Ten NS—The Number System N—Number & Quantity

      NF—Fractions

MD—Measurement & Data SP—Statistics & Probability SP—Statistics & Probability

G—Geometry G—Geometry G—Geometry

MP—Standards for Mathematical Practice

Fractions concepts

Fraction divisionFrac Dec %

+ & – on number lines

Sharing Cookies

Partitioning Shapes

Fractions: Part- Whole

Fractions on a Number Line

Comparing Fractions

•Kara ran ⅖ of a mile. Her sister ran ⅘ of a mile. Who ran the furthest?

•Sonya read ⅗ of her book. Jae read ⅜ of the same book. Did Sonya or Jae read more of the book?

•Jerre grew ⅚ of an inch. Sam grew ¼ of an inch and Sasha grew ⅜ of an inch. Who grew the least? Who grew the most?

Equivalent Fractions

Equivalent FractionsPictorial Phase

€

24

€

36

€

48

Same whole More parts Smaller parts

What happens to the whole? What happens to the parts?

Equivalent Fractions

Equivalent Fractions

Mowing a Lawn

• Samantha mowed ½ of her lawn. Then her brother mowed ½ of what she had not mowed. How much of the lawn still needs to be mowed?

• One-third of Mr. K’s birthday cake was eaten at the party. His friend, Taba, took ½ of what was left to his house. How much of the cake does Mr. K have now?

Fraction Division

• Tai needs ¼ of a yard of ribbon to make a bow. If she has 5 yards of ribbon, how many bows can she make?

• Adam has ⅓ of a pound of chocolate. He is going to share the chocolate with his best friend so that he and his friend each get the same amount. How much of a pound will each get?

Fractions in the AZCCRSGrade K 1 2 3 4 5 6 7 8 HS Conceptual

Categories

Domains

CC—Counting & Cardinality

          RP—Ratios & Proportional Relationships

F—Functions

F—Functions

OA—Operations & Algebraic Thinking EE—Expressions & Equations A—Algebra

NBT—Number and Operations in Base Ten NS—The Number System N—Number & Quantity

      NF—Fractions

MD—Measurement & Data SP—Statistics & Probability SP—Statistics & Probability

G—Geometry G—Geometry G—Geometry

MP—Standards for Mathematical Practice

Fractions concepts

Fraction divisionFrac Dec %

+ & – on number lines

Fraction Progression

Other AZCCRS Progressions

NCTM K- 8 Membership

nctm.org

fractions

# 2 Search Publications

Choose Teaching Children Mathematics

orMathematics Teaching in the Middle Grades

#1 Search fractions

OutcomesDevelop an understanding of the coherence that exists in the AZCCRS by:

• Experiencing activities from the Fractions Domain at several grade levels

• Examining documents that show the progression and interrelationships of several domains

Become familiar with resources for parents

Increase knowledge of the resources available on the NCTM website

Evaluation, Feedback and Input

• Complete the project’s evaluation form

• Complete the + / Δ form.