J A N E L J O H N S O NM I D D L E S C H O O L M AT H E M AT I C S

O F F I C E O F S TA N D A R D S A N D L E A R N I N G

A U G U S T 2 0 1 5

South Carolina College- and Career-Ready Standards for Mathematics

Session 2

Good Morning! Please sign-in and get 1 of each handout off the table by the door.

Sit at a table with a green sheet and supplies.

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Agenda – Session 2

August 2015

9:30 – 9:45 a.m. Logistics• Introductions and Norms• Edmodo Groups• Accessing the Standards

9:45 – 10:00 a.m. Graduation Standards10:00 – 11:30 a.m. 7th Grade Mathematics Standards

• Support Document11:30 a.m. – 12:30 p.m. Lunch

12:30 – 2:00 p.m. 8th Grade Mathematics Standards• Support Document

2:00 – 3:30 p.m. Compacted Curriculum Models• Algebra 1

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Session Outcomes

August 2015

Understand the impact the Graduation Standards have on middle grades courses

Explain and understand the content of and relationship among the standards in 7th Grade Mathematics

Explain and understand the content of and relationship among the standards in 8th Grade Mathematics

Understand the format and structure of the compacted curriculum for accelerated middle grades mathematics

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August 2015

Logistics

Logistics

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Questions• Raise your hand and ask questions during the session. • Parking Lot – questions not directly related to the session

Breaks• Morning Break and Afternoon Break • Lunch (45 min)

Technology• Feel free to take notes on your computer or tablet• Cell phones on silent

Session Materials• Supplies• Will be posted on SCDE website and Edmodo Group

Photos: microsoft.com

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Introductions and Norms

August 2015

NormsListen as an AllyValue DifferencesMaintain ProfessionalismActively Participate

Good Morning!

My name is…

I (teach) (grade level) at (school) in (district).

My favorite teaching strategy is...

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Join our Edmodo Groups

August 2015

SCDE Mathematics Team: https://edmo.do/j/snmcix1. Create an account. (If you have an account, log in.)2. Enter URL above.

Group Code: 9w4msw

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Join our Edmodo Groups

August 2015

Office of Standards and Learning: https://edmo.do/j/fu7i2y1. Create an account. (If you have an account, log in.)2. Enter URL above.

Group Code: cr3u3t

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Accessing the Standards and Resources

August 2015

www.ed.sc.gov

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Accessing the Standards and Resources

August 2015

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Accessing the Standards and Resources

August 2015

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August 2015

Graduation Standards

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Graduation Standards

Standards denoted by an asterisk (*)Subset of the SCCCR Content Standards for MathematicsCourse sequences will provide students with the

opportunity to learn all SCCCR Graduation Standards as appropriate for their intended career paths.

August 2015

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High School Pathways

Foundations in Algebra

Intermediate Algebra Geometry

Fourth Course Options

Algebra 1

Geometryor

Algebra 2

Algebra 2or

Geometry

Fourth Course Option

s

Fifth Course Options (Acceler

ated)

August 2015

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Graduation Standards in Middle School

High School Course Graduation Standard

Middle School Standard(s)

Pre-Calculus NVMQ.6 8.DSP.5Foundations in AlgebraProbability and Statistics SPMJ.1 7.DSP.1, 7.DSP.2, 7.DSP.4Foundations in AlgebraProbability and Statistics SPMJ.2 7.DSP.6, 7.DSP.7Foundations in AlgebraProbability and Statistics SPID.5 8.DSP.4Foundations in AlgebraProbability and Statistics SPMD.4 7.DSP.6, 7.DSP.7, 7.DSP.8Foundations in AlgebraProbability and Statistics SPMD.5 7.DSP.6, 7.DSP.7, 7.DSP.8Foundations in AlgebraProbability and Statistics SPMD.6 7.DSP.6, 7.DSP.7, 7.DSP.8

August 2015

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Progression Document

August 2015

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Impact of the Graduation Standards

August 2015

How will the Graduation Standards impact your teaching?

Please go to http://scdemsmath.weebly.comClick on “Graduation Standards”Scroll down to “How will the Graduation Standards

impact your teaching?”

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August 2015

7th Grade Mathematics Standards

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Alignment of the SCCCR-M and CCSS-M

August 2015

Please go to http://scdemsmath.weebly.comClick on “7th Grade”Scroll down to “SCCCR-M and CCSS-M Alignment

Document for 7th Grade Mathematics”

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Alignment of the SCCCR-M and CCSS-M

August 2015

Read through each standard in alignment document.What differences do you notice in the following

standards? 7.NS.4 7.EEI.3

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Support Document

August 2015

Course Coversheet organizes the middle school course standards into possible instructional units and provides links to specific middle school course Units.

Each middle school course Unit contains: Clarifying notes related to the standards within the unit New academic vocabulary in the unit Prior and subsequent knowledge related to the unit Description of the relationship between the standards in the unit Potential instructional strategies and lessons Resources for the unit Sample formative assessment tasks and questions

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Course Coversheet

August 2015

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7

Rational Numbers

Expressions and

Equations

Ratios and Proportions Geometry Algebraic

Geometry Statistics Probability

Standards Standards Standards Standards Standards Standards Standards7.NS.17.NS.27.NS.3

7.EEI.17.EEI.27.EEI.37.EEI.47.EEI.57.NS.4

7.RP.17.RP.27.RP.37.NS.57.EEI.47.GM.1

7.GM.17.GM.27.GM.3

7.GM.47.GM.57.GM.67.EEI.4b

7.DSP.17.DSP.27.DSP.37.DSP.4

7.DSP.57.DSP.67.DSP.77.DSP.8

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Support Documents

August 2015

Please go to http://scdemsmath.weebly.comClick on “7th Grade”Scroll down to “SCCCR-M Support Document for 7th

Grade Mathematics”

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Relationship Among Standards Standards in this Unit

August 2015

Standards in this unit are all necessary to develop computational skills necessary for work with rational numbers.

7.NS.17.NS.27.NS.3

Unit 1 – Rational Numbers

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Unit 1 – Rational Numbers

August 2015

Section Questions (10-20 minutes)• Clarifying notes related to the

standards within the unit • New academic vocabulary in the

unit • Prior and subsequent knowledge

related to the unit

How long do you think it would take to teach this unit?What would you teach first?

• Potential instructional strategies and lessons

• Resources for the unit

Watch the Integer Multiplication video.What additional strategies and/or resources can be used in this unit?

• Sample formative assessment tasks and questions

Read the first performance task for 7.NS.3.

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Relationship Among Standards Standards in this Unit

August 2015

Standards in this unit are all necessary to develop the computational skills needed for work within the real number system including solving multi-step linear equations and inequalities and simplifying expressions which include the use of whole-number exponents.

7.EEI.17.EEI.27.EEI.37.EEI.47.EEI.57.NS.4

Unit 2 – Expressions and Equations

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Unit 2 – Expressions and Equations

August 2015

Section Questions (10-20 minutes)• Clarifying notes related to the

standards within the unit • New academic vocabulary in the

unit • Prior and subsequent knowledge

related to the unit

How long do you think it would take to teach this unit?What would you teach first?

• Potential instructional strategies and lessons

• Resources for the unit

Use the Equations Balance to complete a few equations.What additional strategies and/or resources can be used in this unit?

• Sample formative assessment tasks and questions

Complete the Shop Smart task

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Unit 3 – Ratios and Proportions

August 2015

Standards in this Unit7.RP.17.RP.27.RP.37.NS.57.EEI.47.GM.1

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7.GM.1

August 2015

Determine the scale factor and translate between scale models and actual measurements (e.g., lengths, area) of real-world objects and geometric figures using proportional reasoning.

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Scale City

August 2015

www.ket.org/scalecity

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How Far Can You GO on a Tank of Gas?

August 2015

Source: Figure This! Challenges

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Highway Mileage City Mileage

August 2015

How Far Can You GO on a Tank of Gas?

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Extensions of How Far Can You GO on a Tank of Gas?

August 2015

Imagine that you drive a Metro. Your daily commute to work includes 80 highway miles and 10 city miles, each way. If you start the week with a full tank, on what day will you need to buy gas?

Suppose the following two cars travel 100 miles, half in the city and half on the highway. Which uses the least amount of gas? Ferrari Maranello (9 mpg city / 14 mpg highway) Lamborghini Diablo (10 mpg city / 13 mpg highway)

Choose a car. Use information from a website, magazine, or car dealer to determine how far this car can travel on one tank of gas.

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Unit 4 – Geometry

August 2015

Standards in this Unit7.GM.17.GM.27.GM.3

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7.GM.2a

August 2015

Construct triangles and special quadrilaterals using a variety of tools (e.g., freehand, ruler and protractor, technology).a. Construct triangles given all measurements of either angles or sides.

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Freehand

August 2015

What does it mean to construct a freehand triangle?

Freehand means that the triangle is not drawn to scale. The triangle could be labeled with the correct measurements for sides or angles.

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Unit 5 – Algebraic Geometry

August 2015

Standards in this Unit7.GM.47.GM.57.GM.67.EEI.4b

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7.GM.6c

August 2015

Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.c. Decompose cubes, right rectangular prisms, and right triangular prisms into rectangles and triangles to derive the formulas for volume and surface area.

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Painting a Room

August 2015

Spencer is helping his father paint his baby brother’s room a light blue. The width of the room is 12 feet, the length of the room is 15 feet, and the height of the room is 8 feet. Spencer does not need to paint the floor. How much paint do they need to buy?

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Unit 6 – Statistics

August 2015

Standards in this Unit7.DSP.17.DSP.27.DSP.37.DSP.4

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The Great Debate

August 2015

Please go to http://scdemsmath.weebly.comClick on “7th Grade”Scroll down to “7.DSP.4 - The Great Debate”

How could the lesson be improved?

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Unit 7 – Probability

August 2015

Standards in this Unit7.DSP.57.DSP.67.DSP.77.DSP.8

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Probability Continuum

August 2015

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Lunch

August 2015

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August 2015

8th Grade Mathematics Standards

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Alignment of the SCCCR-M and CCSS-M

August 2015

Please go to http://scdemsmath.weebly.comClick on “8th Grade”Scroll down to “SCCCR-M and CCSS-M Alignment

Document for 8th Grade Mathematics”

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Alignment of the SCCCR-M and CCSS-M

August 2015

Read through each standard in alignment document.What differences do you notice in the following

standards? 8.NS.3 8.F.1 8.EEI.1 8.EEI.8

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Course Coversheet

August 2015

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7

Transformational Geometry Exponents Algebraic

Geometry Functions Linear Functions

Statistics with Linear

Models

Systems of Equations

Standards Standards Standards Standards Standards Standards Standards8.GM.18.GM.28.GM.38.GM.48.GM.5

8.NS.18.NS.28.NS.38.EEI.18.EEI.28.EEI.38.EEI.4

8.EEI.7a8.EEI.7b8.DSP.5

8.GM.68.GM.78.GM.88.GM.98.EEI.2

8.F.18.F.2

8.EEI.58.EEI.68.F.38.F.48.F.5

8.DSP.18.DSP.28.DSP.38.DSP.4

8.F.38.F.48.F.5

8.EEI.78.EEI.8

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Support Documents

August 2015

Please go to http://scdemsmath.weebly.comClick on “8th Grade”Scroll down to “SCCCR-M Support Document for 8th

Grade Mathematics”

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Relationship Among Standards Standards in this Unit

August 2015

Standards in this unit are all necessary to develop an understanding of the impact transformations have on congruence and similarity among figures.

8.GM.18.GM.28.GM.38.GM.48.GM.5

Unit 1 – Transformational Geometry

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Unit 1 – Transformational Geometry

August 2015

Section Questions (10-20 minutes)• Clarifying notes related to the

standards within the unit • New academic vocabulary in the

unit • Prior and subsequent knowledge

related to the unit

How long do you think it would take to teach this unit?What would you teach first?

• Potential instructional strategies and lessons

• Resources for the unit

Download Geogebra and explore the software.What additional strategies and/or resources can be used in this unit?

• Sample formative assessment tasks and questions

Complete Aaron’s Designs task

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Relationship Among Standards Standards in this Unit

August 2015

Standards in this unit are all necessary to develop the computational skills needed for work within the real number system including solving multi-step linear equations and inequalities and simplifying expressions which include the use of integer exponents.

8.NS.18.NS.28.NS.38.EEI.18.EEI.28.EEI.38.EEI.48.EEI.7a8.EEI.7b8.DSP.5

Unit 2 – Exponents

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Unit 2 – Exponents

August 2015

Section Questions (10-20 minutes)• Clarifying notes related to the

standards within the unit • New academic vocabulary in the

unit • Prior and subsequent knowledge

related to the unit

How long do you think it would take to teach this unit?What would you teach first?

• Potential instructional strategies and lessons

• Resources for the unit

What additional strategies and/or resources can be used in this unit?

• Sample formative assessment tasks and questions

Read the performance task for 8.DSP.5

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8th Grade Unit Gallery Walk

August 2015

Discuss

• Pick 1-2 standards from your assigned unit to highlight.

Create

• List the key things students need to be able to do.• List 1 Teaching Strategy• List 1 Resource

Walk It

Out

• Grab some sticky notes and a writing utensil. • You will have 5-7 minutes to view and comment on the

posters from the other units. • Be sure to write the standard.

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8th Grade Unit Gallery Walk

August 2015

Unit 3 Unit 4 Unit 5 Unit 6 Unit 7

Brandon Becky Kimberly M. Jill S. Kim N.

Kala Graham Cathy Kristina Jasmine

Donna Kathleen Mike W. Tiasha Cindy

Sarah Kim C. Lynn Julia C. Cheryl

Christine Shannon Kimberly W. Mike P. Rebecca

Timothy P. Jennifer Betty Erie Sherrie

John Annette Rory Jennifer Staci

Cindy Sandra Heather Brenda Tammy

Tim N. Luann Micki Ashlee Jerry

Jill B. Lisa Julie H. Andrew

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8th Grade Unit Gallery Walk

August 2015

Discuss

• Pick 1-2 standards from your assigned unit to highlight.

Create

• List the key things students need to be able to do.• List 1 Teaching Strategy• List 1 Resource

Walk It

Out

• Grab some sticky notes and a writing utensil. • You will have 5-7 minutes to view and comment on the

posters from the other units. • Be sure to write the standard.

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August 2015

Compacted Curriculum Models

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High School Math Courses in Middle School

August 2015

State regulation R43-232 - DEFINED PROGRAM 6–8 states,

“When approved by the principal and the parents, a student promoted to the seventh

or eighth grade may take units of ninth grade or higher work for high school credit.”

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Middle School Math Acceleration Guidance

August 2015

When students take Algebra 1 (that is, in which grade) is less important than whether students are ready to take it.

The term “compacted” means to compress content, which requires a faster pace to complete, as opposed to skipping content.

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Considerations for Acceleration

August 2015

Accelerating students in middle school should be selective and decided on an individual basis.

Each student’s math skills should be evaluated and a determination is made whether a more advanced math course is appropriate or not.

Students should not be accelerated based on a characteristic independent of prior achievement or preparedness (e.g., grade level or age).

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Considerations for Acceleration

August 2015

Decisions to accelerate students into Grade 8 Algebra 1 should be based on solid evidence of student learning. This evidence could include:Placement testsMAP (RIT Score)GradesGifted and Talented in academicsStudent study skillsTeacher/counselor recommendation

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Considerations for Acceleration

August 2015

Schools must ensure that the course content is not watered down and that interventions for struggling students are in place.

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Research

August 2015

There is no evidence that shows that rising enrollments in advanced eighth grade math courses are correlated with ‐achievement gains on NAEP (Loveless, 2015).

Studies of California’s algebra policies found a trade off: ‐rising enrollments but also a rising number of failures (Williams, et. al., 2011).

In North Carolina, researchers from Duke uncovered negative results after studying a Charlotte Mecklenburg ‐initiative to expand algebra in eighth grade: lower scores on the Algebra 1 test and then lower pass rates in Geometry and Algebra II in subsequent years (Clotfelter, et. al., 2011).

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Compacted Curriculum Models

August 2015

Please go to http://scdemsmath.weebly.comClick on “Compacted Curriculum”

Model 1 Model 2 Model 3 Middle School Mathematics EXAMPLE Acceleration Rubrics

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Model 1 (2:1)

August 2015

In this model the compacting is in eighth grade.6th Grade: 6th grade standards 7th Grade: 7th grade standards8th Grade: 8th grade standards and Algebra 1

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Model 2 (3:2)

August 2015

In this model the compacting begins in the seventh grade.6th Grade: 6th grade standards 7th Grade: 7th grade standards and some of 8th grade8th Grade: Remaining 8th grade standards and Algebra 1

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Model 3 (4:3)

August 2015

In this model the compacting begins in the sixth grade.6th Grade: 6th grade standards and some of 7th grade7th Grade: Remaining 7th grade standards and

some of 8th grade8th Grade: Remaining 8th grade standards and Algebra 1

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Session Outcomes

August 2015

Understand the impact the Graduation Standards have on middle grades courses

Explain and understand the content of and relationship among the standards in 7th Grade Mathematics

Explain and understand the content of and relationship among the standards in 8th Grade Mathematics

Understand the format and structure of the compacted curriculum for accelerated middle grades mathematics

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Resources

August 2015

SCDE Math WebpageTeaching Student-Centered Mathematics:

Developmentally Appropriate Instruction for Grades 6-8 by John A. Van de Walle, Jennifer M. Bay-Williams, Lou Ann H. Lovin, and Karen S. Karp

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Future Resources

August 2015

Additional Support Documents for Units 3-7Vertical Articulation Document

Certificates of Attendance

After BOTH sessions, a survey will be sent to you via e-mail.

Once complete, your certificate will be sent to you via e-mail within 7-10 business days.

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What is your current level of comfort with the new South Carolina College- and Career-Ready Standards for Mathematics?

August 2015

Developing AwarenessBuilding KnowledgeTransforming PracticeBuilding Capacity

Go to www.poll.siEnter poll's ID

ivpx

Questions

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Photo: microsoft.com

Contact Information

Janel E. JohnsonEd. Associate - Middle School MathematicsE-mail: jejohnson@ed.sc.govP: 803.734.7814 F: 803.734.8388

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