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.
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