Algebra Preparing Our Students for Common Core Implementation Athalean Gee.

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Presentation transcript:

Algebra Preparing Our Students for Common Core Implementation Athalean Gee

COMMON CORE STATE STANDARDS Adopted Aug. 2010

Commo n Core

8 Standards of 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.

Commo n Core

Key Features of Smarter Balanced Measures student achievement and growth in English language arts/literacy and mathematics in grades 3-8 and high school. Includes accommodations for students with disabilities and English language learners so that all students can demonstrate what they know. Administered online with questions and performance tasks that measure critical thinking and problem solving skills. Expectations of student performance linked to international benchmarks

Administered online with timely results. Computer Adaptive Test: Measures individual growth * selected response * constructed response * performance task. Common, comparable scores across states.

Critical Areas of Studies Relationships between Quantities Linear and Exponential Functions Reasoning with Equations Statistics and Probability Congruence, Proof, and Constructions Connecting Algebra and Geometry through Coordinates

Relationships between Quantities Linear Functions Reasoning with Equations (Linear) Algebra through Coordinates Topics Addressed in Semester 1 (This School Year)

Critical Areas of Studies Linear and Exponential Functions Reasoning with Equations (Exponential) Statistics and Probability Congruence, Proof, and Constructions Connecting Algebra and Geometry through Coordinates Topics to be Addressed in Semester 2

Topics Moved to Integrated Math II Quadratics Completing the Square Polynomials Rational Expressions and Equations

Cheap Labor ? Suppose you and your brother offered two plans to your parents to wash ALL the windows in your house--inside and outside. Adapted from Kari McSherry Problem

Cheap Labor ? Plan A 1st window for 1 cent 1 st window for 1 cent up to 2 windows for 2 cents up to 3 windows for 4 cents up to 4 windows for 8 cents up to 5 windows for 16 cents … and so on, doubling your price for each additional window. Pretty cheap labor…or is it? You propose Plan A at the following rate of pay:

Cheap Labor ? Write down any questions that come to mind. Share your questions with a neighbor. See if your questions are similar or different.

While you proposed Plan A, your brother proposed this alternative Plan B: 1 st window for $10.00 up to 2 windows for $20.00 up to 3 windows for $30.00 up to 4 windows for $40.00 up to 5 windows for $50.00 … and so on, for each additional window. Which plan--Plan A or Plan B--is the better deal for your parents? Why?

Cheap Labor ? Turn to a partner and share questions that you might use to evoke “math talk” among students.

Plan A Window # Fees in Cents Fees in Dollars , , , What is the equation that models your fee for the n window? th

What is the equation that models your fee for the n window? Plan B Window # Fees Fees in Dollars th

Plan A Window # Fees in Cents Fees in Dollars , , , Plan B Window # Fees in Dollars y =.012 (x-1) y = 10x

y =.012 (x-1) Cheap Labor Graphs Number of Windows Fees

A Closer Look at the Algebra Instructional Guide How would you use the instructional guide to help you organize units of study? Live Links

Algebra Instructional Guides Individually, look over the instructional guide and generate a list of key ideas to be addressed this semester. Compare your list of key ideas with a colleague and make note of any key ideas that you may have overlooked. Briefly discuss a logical sequence to teach these key ideas.

Instructional Guide

Unit Planner Where could this resource be useful within a unit?

Question s ?

Time to Plan Organize yourselves into small groups to delve into the instructional guide and/or use your own resources to plan out a unit for the semester.