Common Core Mathematics

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Common Core Mathematics

description

Common Core Mathematics. Learning Norms. Restrooms Parking Lot evaluation connections General comments. Today’s Learning Goals. 1. Identify and interpret the 8 Mathematical - PowerPoint PPT Presentation

Transcript of Common Core Mathematics

Page 1: Common Core Mathematics

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.

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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.

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IntroductionsNameSchoolTitleSubjects TaughtYears in Education

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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.

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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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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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K-8

Grade

Domain

Cluster

Standards

High School

Conceptual Category

Domain

Cluster

Standards

Common Core Format

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Florida’s Numbering ofthe Common Core State Standards

MACC.7.SP.2.4

Subject Grade Domain Cluster StandardSubject Mathematics Common Core Grade 7Domain Statistics and ProbabilityCluster Draw informal comparative inferences about two

populations.Standard Use measures of center and measure of variability

for numerical data from random samples to draw informal comparative inferences about two populations.

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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.

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Compare National to State Notation

National: CCSS.Math.Content.6.EE.A.3Florida: MACC.6.EE.1.3National: CCSS.Math.Content.HSA-SSE.B.3 Florida: MACC.912.A-SSE.2.3

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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 Progression •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 Math 1-advanced

• Review and Analyze Unit

• Write Learning Goal

• Identify standards to support Learning Goal

1c, 1e

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Review and Analyze Unit

Unit 3: Read and highlight action wordsStudents understand the use of variables in mathematical expressions. They write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Students understand that expressions in different forms can be equivalent, and they use the properties of operations to rewrite expressions in equivalent forms. Students know that the solutions of an equation are the values of the variables that make the equation true. Students use properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations. Students construct and analyze tables, such as tables of quantities that are equivalent ratios, and they use equations (such as 3x = y) to describe relationships between quantities.

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Write Learning GoalLearning Goal: The students will be able to write, rewrite and solve one step equations when solving real world problem.

Suggested Essential Question:

• How can algebraic expression and equations be used to model, analyze and solve mathematical situations?

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Standards for Learning GoalMA.A.3.2 MACC.6.EE.1.2 MACC.6.EE.2.6 MACC.6.EE.2.7

MP #1 #2 #6

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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

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Sample Level 3 (Target)

Solve one step equations with nonnegative rational numbers.

Evaluate a real world problem that involves the understanding of how to solve a one-step equation.

Level 3Target

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Sample Level 0

Level 0 The student can:

• add, subtract, multiply, and divide with whole numbers.

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Sample Level 1

The student can:

Use a given value of a variable to evaluate an expression.

Level 1

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Sample Level 2

Level 2 The student can:Solve one step equations with whole numbers.

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Sample Level 4

Create a word problem that corresponding to an algebraic equation.

Level 4

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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

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Common Core Mathematics