Orienteering: Blazing Our Trail

Session Goals• Develop a strategy to create open

tasks related to proportional reasoning in order to differentiate instruction.

• Develop strategies to create appropriate scaffolding questions.

Before/Part 1/Minds On• Look around the room. Compare the

number of people with glasses on right now to the total number of people in the room.

• With your group, identify as many other ratios as you can using all of your fellow campers.

Before/Part 1/Minds On• Get up and look at the glyphs around the

room. What other ratios do you see?• Sketch a pictorial representation of one of

the ratios you identified in your journal.

During/Part 2/Action• Remember on Monday night, when we

were scratching?

During/Part 2/Action• On a typical May 24th weekend, Joyce noticed that

both her arms were covered with black fly bites. Cathy said “I think I have twice as many as you do!” How many black fly bites might Cathy or Joyce have?

• Review Marion’s fail-safe strategies for creating an open task. Does the problem that we introduced on Monday evening meet the criteria?

• Think-pair-whole group share

During/Part 2/Action

Two ratios are “almost but not quite” equivalent. What might they be?

• Identify the big ideas and the lesson goal for this open question.

During/Part 2/Action

• Solve this open question on chart paper in your glyph group. Show your thinking:

Two ratios are “almost but not quite” equivalent. What might they be?

After/Part 3/ConsolidateTweet About Open Questions!

• With a partner, create a tweet to send to a friend (140 characters or less) to explain a strategy that you could use to create an open question.