Wisconsin Mathematics Council Annual ConferenceGreen Lake, WI 2011

Melissa Hedges, MathematicsTeaching Specialist, MTSDBeth Schefelker, Mathematics Teaching Specialist, MPSMary Mooney, Mathematics Teaching Specialist, MPS

As the World Terns: Reason Abstractly and Quantitatively

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Learning Intention

To deepen our understanding of quantitative reasoning

To understand CCSS Math Practice #3

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Success Criteria

We will be successful when we can reason quantitatively to make sense of quantities and their relationships in problem situations.

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Reviewing Quantitative Reasoning

“…the process of coming to an understand the quantities and relationships between those quantities in a word problem.”

Quantity vs. ValueA quantity is anything that can be measured or counted

The value of the quantity is its measure or the number counted and involves a number and a unit.

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Quantity vs. Value ExamplesTurkey costs $1.29 per poundQuantity: Cost of turkey per poundValue: $1.29 per pound

Ice Melt weighs 50 lbs per bagQuantity: weight of Ice MeltValue: 50 lbs per bag

Mary saved 365 quarters for parkingQuantity: # of quarters Mary savedValue: 365 quarters

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

As the World Terns… Dr. McLeod tells his students about an interesting bird, the Arctic Tern. He found an informative piece about the bird.

Read the article on arctic terns. Identify the different quantities. Share what you found with a neighbor.What questions do you have when thinking about these quantities?

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

What do you wonder about?

What was the average flying speed of the tern?

How does the tern sleep?What does the tern eat?

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Route of the Arctic Tern

Think AloudRead the storyFlip your paper overRetell the story to another person at your table.Use the guiding questions on the worksheet to quantitatively analyze the problem.

Work with your partner (or individually) to solve the problem

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Applying Quantitative Analysis to contextual situations Guiding questions:

What quantities are involved in this situation?

For which quantities do we know the values?

For which quantities do we not know the value?

What quantities are we trying to find?

Which quantities are critical to the problem?

QuantityValue

Known – record.Unknown

Useful in solving problem?

Applying Quantitative AnalysisWorksheet

As the World Terns…

Dr. McLeod tellSs his students about an arctic tern that flew from the Farne Islands off the British coast to Melbourne, Australia. The bird made the journey in 3 months and traveled 14,000 miles. Assuming the arctic tern flew for 6 hours a day, what was the average flying speed for the trip?

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Your tern…What was the average flying speed of the tern?

Teacher Moves

How is this process different from traditional mathematics instruction?

How will you take the message back to the classroom teachers in your building?

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Reason Abstractly and QuantitativelyRead practice standard #3 silently to yourself

Highlight 3 phrases in the standard that connect to the Tern task.

Read one of your phrases aloud to the group and share why you selected that phrase.

As a phrase is shared, use the “Whip Around” strategy to share your thoughts within your group.

The Milwaukee Mathematics Partnership (MMP), an initiative of the Milwaukee Partnership Academy (MPA), is supported with funding by the National Science Foundation.

Walking AwayWe’ve explored the Standard for Mathematical Practice #2: Reason abstractly and quantitatively

How might you start to infuse this practice into the lessons?

What conversations would you have with teachers who are not here?