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Alaska Mathematics Standards

Teaching and Learning Support Institute

September 16-17, 2013Deborah RiddleMath Content Specialistdeborah.riddle@alaska.gov907-465-3758

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Goals for TodayRevisit the 3 Standards Shifts in

math

Look at the Mathematical Practices

Examine some instructional strategies

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3 Shifts in Mathematics

RigorCoherenceFocus

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Focus2 – 4 topics focused on deeply in each grade

Fewer big ideas to be covered

Allows more time for students to understand the concepts

Strive for understanding not coverage

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Shift 1: Focus Multiplication Grade 3New Math Standards• Represent and solve problems

involving multiplication.– 3.OA.1, 3.OA.2, 3.OA.3, 3.OA.4

• Understand properties of multiplication and the relationship between multiplication and division.– 3.OA.5, 3.OA.6,

• Multiply and divide up to 100.– 3.OA.7

• Solve problems involving the four operations and identify and explain patterns in arithmetic.– 3.OA.8, 3.OA.9

• Use place value understanding and properties of operations to perform multi-digit arithmetic.– 3.NBT.3

GLE• M3.1.4 Model

multiplication as repeated addition and grouping objects; model division as “sharing equally” and grouping objects– [3] E&C-5, [3]E&C-6

Digging Deeper

Coherence

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systematic or logical connection or consistency (Merriam-Webster)

logical or natural connection or consistency,logical interconnectedness (The Free Dictionary)

http://www.merriam-webster.com/dictionary/coherence

Coherence

Concepts logically connected form one grade to the next

Concepts linked to other major topics within each grade

Deeper learning decreases the need for re-teaching topics each year

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Shift 2: Coherence

Represent addition and subtractions with objects.

Solve single step addition

and subtraction

word problems.

Estimate and solve

multistep addition and subtraction

word problems.

Multiplication (repeated addition)Division

(repeated subtraction)

Recognize multiplication

as a comparison

(commutative property).

Use parentheses to construct numerical

expressions and evaluate expressions with these symbols.

K 1 2 3 4 5

Grade Level

K.OA.1 1.OA.1 2.OA.1 3.OA.1, 3.OA.2 4.OA.1 5.OA.1

Craig has $20. He buys 6 squirt guns for $2 each. How much money does he have left?

5x7 = 7x5

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Algebra

Shift 3: Rigor • Conceptual

understanding• Application to real-world

situations• Fluency with arithmetic

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With equal intensity

Rigor

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Conceptual understanding of key concepts.

Foster students’ ability to access concepts from a number of perspectives.

Math is seen as more than a set of mnemonics or discrete procedures.

NAEP and SBAC

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https://education.alaska.gov/tls/assessment/naep.html

Grade 8

Linear Algebra

NAEP

Grade 8

Linear AlgebraSBAC

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A set of football games is to be organized in a “round-robin” fashion, i.e., every participating team plays a game against every other team once and only once.

If 36 games are totally played, how many teams participated?

http://www.syvum.com/teasers/Solution

“When I add 4 times my age 4 years from now to 5 times my age 5 years from now, I get 10 times my current age. How old will I be

5 years from now? ”

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http://www.syvum.com/teasers/ Solution

Standards for Mathematical Practice

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. 16

Resources on the Flash Drive

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Mathematics Standards

18Understanding

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Sidewalk Patterns in

PragueA Performance Task

Performance TasksDemonstrate mastery

Organized approach using multiple strategies

Fosters self-checking

Explanation of mathematical reasoning

Utilizes Mathematical Practices20

http://insidemathematics.org/index.php/exemplary-lessons-integrating-practice-standards

Create a Performance Task

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Start with an Idea

Real-world situations

High interest

Relevant

Clarify the Task

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Choose a product

Define the purpose and audience

Identify Content Standards and Mathematical Practices

Create clear expectations and goals

Prepare for Success

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Prepare questionsto assess knowledgeto help struggling students

Identify prerequisite skills necessary for success

Assess the Task

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Were the goals met?

Did the product reflect mastery?

Did the task work as intended?

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Sample Performance Task Outline

http://www.mathplayground.com/probability.html

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Brown University (2013, August 5). New explanation for odd double-layer Martian craters

Resources

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Illustrative Mathematics

Although Alaska did not adopt the Common Core State Standards, there are many Common Core resources that can be helpful to Alaskan teachers.

Contact Information

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Deborah RiddleMath Content Specialist

deborah.riddle@alaska.gov907-465-3758

Link to this presentation in Prezi formathttp://prezi.com/tb5d6bwgkq7g/?utm_campaign=share&utm

Football Games

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Go Back

Old Enough?

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