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Alaska Mathematics Standards. Teaching and Learning Support Institute September 16-17, 2013. Deborah Riddle Math Content Specialist deborah.riddle@alaska.gov 907-465-3758. Goals for Today. Revisit the 3 Standards Shifts in math Look at the Mathematical Practices

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alaska mathematics standards

Alaska Mathematics Standards

Teaching and Learning Support Institute

September 16-17, 2013

Deborah Riddle

Math Content Specialist

deborah.riddle@alaska.gov

907-465-3758

goals for today
Goals for Today

Revisit the 3 Standards Shifts in math

Look at the Mathematical Practices

Examine some instructional strategies

slide4

3 Shifts in Mathematics

Coherence

Focus

Rigor

focus
Focus

2 – 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

slide6

Shift 1: Focus Multiplication Grade 3

New Math Standards

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
  • 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

Digging Deeper

coherence
Coherence

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

coherence1
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

slide9

Shift 2: Coherence

Grade Level

5

2

3

4

K

1

K.OA.1

2.OA.1

3.OA.1, 3.OA.2

1.OA.1

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

shift 3 rigor
Shift 3: Rigor
  • Conceptual understanding
  • Application to real-world situations
  • Fluency with arithmetic

With equal intensity

rigor
Rigor

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
NAEP and SBAC

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

slide14

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

slide15

“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? ”

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

Solution

standards for mathematical practice
Standards for Mathematical Practice
  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.
slide19

Sidewalk Patterns in Prague

A Performance Task

performance tasks
Performance Tasks

Demonstrate mastery

Organized approach using multiple strategies

Fosters self-checking

Explanation of mathematical reasoning

Utilizes Mathematical Practices

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

slide22

Start with an Idea

Real-world situations

High interest

Relevant

clarify the task
Clarify the Task

Choose a product

Define the purpose and audience

Identify Content Standards and Mathematical Practices

Create clear expectations and goals

prepare for success
Prepare for Success

Prepare questions

to assess knowledge

to help struggling students

Identify prerequisite skills necessary for success

assess the task
Assess the Task

Were the goals met?

Did the product reflect mastery?

Did the task work as intended?

slide26

Sample Performance Task

Outline

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

resources
Resources

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
Contact Information

Deborah Riddle

Math Content Specialist

deborah.riddle@alaska.gov

907-465-3758

Link to this presentation in Prezi format

http://prezi.com/tb5d6bwgkq7g/?utm_campaign=share&utm