Common Core Mathematics

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Learning Norms

• Restrooms• Parking Lot

• evaluation connections

• General comments

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Today’s Learning Goals

1. Identify and interpret the 8 Mathematical Practices of Common Core.2. Organize and differentiate “blended” standards3. Develop a Learning Progression Scale

4. Identify tools and resources developed to support the implementation of CCSS.

Success Criteria

1. Develop a learning goal using resources that

support CCSS.

2. Apply the model of a Learning Progression

Scale with math practices in mind.

IntroductionsNameSchoolTitleSubjects TaughtYears in Education

Why is math important?

Warning: Much of the action depicted and/or described on this site is potentially dangerous. Virtually all of the participates seen in the photos are experienced professionals. Do not attempt to duplicate.

Use appropriate tools strategically5

Attend to precision6

Look for and make sense of structure7Look for and express regularity in repeated reasoning

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8 Standards for Mathematical Practice

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Make sense of problems and persevere in solving them

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Reason abstractly and quantitatively2Construct viable arguments and critique the reasoning of others

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Model with mathematics4

3b, 3c

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Let’s Practice

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Review – Relate - Reflect

Review the 8 Mathematical Practices

Reflect one new idea

Relate how to use a MP in your classroom

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Course Descriptions

High School

Conceptual Category

Domain

Cluster

Standards

Common Core Format

Florida’s Numbering ofthe Common Core State Standards

MACC.912.A.CED.1.4Math Common Core Grade Conceptual Category Domain Cluster Standard

Grade 9-12Conceptual Category

Algebra

Domain Creating EquationsCluster Create equations that describe numbers or

relationshipsStandard Rearrange formulas to highlight a quantity of

interest, using the same reasoning as in solving equations.

Compare National to State Notation

National: CCSS.Math.Content.HSA-SSE.B.3 Florida: MACC.912.A-SSE.2.3

as our guide!

Using the Course Description….

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Questions to Ponder

How do you know when a student can use, explain and apply a standard?

What are different stages of

mastering a standard?

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Model for Instructional Planning

Chunking

• Identify the standards of focus from course description to support learning goal and differentiate levels of understanding.

Learning Goals

• Create the learning goals/targets based upon the critical areas of focus or big ideas along with the integrated standards from the course description.

Learning Progressio

n

• Develop scales or rubrics to describe the steps students will take to attain each learning goal as well as what success looks like at each step.

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Model from Algebra 1

• Review and Analyze Unit

• Write Learning Goal

• Identify standards to support Learning Goal

1c, 1e

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Review and Analyze UnitUnit 1- Relationships Between Quantities and Reasoning with Equations: By the end of eighth grade students have learned to solve linear equations in one variable and have applied graphical and algebraic methods to analyze and solve systems of linear equations in two variables. This unit builds on these earlier experiences by asking students to analyze and explain the process of solving an equation. Students develop fluency writing, interpreting, and translating between various forms of linear equations and inequalities, and using them to solve problems. They master the solution of linear equations and apply related solution techniques and the laws of exponents to the creation and solution of simple exponential equations. All of this work is grounded on understanding quantities and on relationships between them.

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Write Learning GoalLearning Goal: Students analyze and explain the process of solving an equation. They master the solution of linear equations and apply related solution techniques. Essential Question ideas:

• In what ways can the problem be solved, and why should one method be chosen over another?

• How can algebra describe the relationship between sets of numbers?

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Standards for Learning GoalMACC.912.A.REI.1.1 MACC.912.A.REI.2.3 MACC.912.A.CED.1.4

MP #1 #3

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Let’s Practice

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Review – Relate - Reflect

Review Learning Goal Development

Reflect on a new idea

Relate how to use Learning Goals in your classroom

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LEARNING PROGRESSION

1. Identify mastery

2.Differentiate levels of understanding

3. Create example problems

1a, 1b, 1c, 1e, 3d

Sample Step 3 (Target)

Sample Step 0

Sample Step 1

Sample Step 2

Sample Step 4

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Let’s Practice

John Hattie’s High Yield Strategies

3d

Formative Assessmen

ts =0.90

Self Assessmen

tsd = 0.64

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Review – Relate - Reflect

Review Learning Progression Development

Reflect on a new idea

Relate how to use Learning Progressions in your classroom

Piecing it ALL Together

Common Core Mathematics