Modeling Elasticity With Algebra

Develop Math and Science Practices as students experiment with elasticity and interpret results

using mathematics.

November 8, 2014

Presenter: Vicki Vierra, Ph.D. vvierra@vcoe.org

GOAL:

To create students who are college and career ready

MEANS: Develop 21st Century skills – the 4 “C”s – Communication, Collaboration, Creativity, and Critical Thinking.

Agenda:

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Welcome & Introductions

Standards for Mathematical Practice

Scientific and Engineering Practices

The Practices in Action - Hooked on Algebra

Introductions

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Please share: Name and site

Classes you teach

One of your personal numbers

Never Tell An Answer

Please remember the enormous responsibility we all have as learners not to spoil anybody else’s fun.

The quickest way to spoil someone else’s fun is to tell them an answer before they have a chance to discover it themselves.

Susan Pirie

Think-Pair-Share

Think:What are the characteristics of a good problem solver? In science? In math? Does it matter?

Pair – talk to a partner

Share with the group

Part 1: Standards for

Mathematical Practice

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1. Make sense of problems and persevere in solving them…start by explaining the meaning of a problem and looking for entry points to its solution

2. Reason abstractly and quantitatively…make sense of quantities and their relationships to problem situations

3. Construct viable arguments and critique the reasoning of others…understand and use stated assumptions, definitions, and previously established results in constructing arguments

4. Model with mathematics…can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace

Part 2: Standards for

Mathematical Practice

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5. Use appropriate tools strategically…consider the available tools when solving a mathematical problem

6. Attend to precision…communicate precisely using clear definitions and calculate accurately and efficiently

7. Look for and make use of structure…look closely to discern a pattern or structure

8. Look for and express regularity in repeated reasoning…notice if calculations are repeated, and look for both general methods and for shortcuts

8 Scientific & Engineering Practices

1. Asking questions for science & defining problems for engineering

2. Planning & carrying out investigations3. Analyzing & interpreting data4. Developing & using models5. Constructing explanations for science &

designing solutions for engineering6. Evidence-based argumentation7. Using mathematics & computational

thinking8. Obtaining, evaluating, and

communicating information

Hooked on Algebra

Models for Understanding Linear Functions

Elasticity is the ability of a material to spring back to its original shape and size after it has been stretched

Robert Hooke called the force acting upon a material the stress, and the elongation it produces the strain

Complete the experiment, graph your data, and write about what you notice

Based on your work, what is the relationship between the stress and the strain?

What Are We Doing?

Where in the world does Hooked on Algebra fit? Is it math? Is it science? Are math practices addressed? Are science and engineering practices

addressed?

Explain your rationale

Thank you !

Thanks for all your Communication, Collaboration, Creativity and Critical thinking!

Vicki Vierra vvierra@vcoe.org