1 Math CAMPPP 2012 Breakout Session 2 Gr. 9-12

Session Goals Participants will have the opportunity to explore and discuss Representations and meanings of fractions Connections to secondary curriculum Related Gap Closing resources Reasons students struggle with fractions 2

Group Norms All ideas will be listened to carefully and responded to respectfully. Everyone will have a voice. All questions and comments will be presented with the intent to move the collective forward. Clarifying questions are welcome. Everyone will engage fully in the moment. 3

Scary Stories Think of a story from your personal teaching experience involving student misconceptions about fractions Inner/Outer Circle – share stories 4 10 minutes

Meanings and Connections Individually…. Choose a fraction, and represent it in as many different ways as you can Think of two problems from secondary math that feature THAT fraction. 5

Discussion Find two people with the same fraction as you Share meanings and problems Post to curriculum wall 6

Gap Closing Watch This Clip 7

Gap Closing - Organization Topic Overview Grade 9 Expectations Reasons Students Struggle (p. 4) Using the Diagnostic (p. 5) Using the Interventions (Lessons) Teacher notes for each subtopic Facilitator Guide Diagnostic Test Interventions (Lessons) for each sub-topic Open Question Think Sheet Student Book 8

Exploring GAP Closing Make Gap Closing Groups Fractions Subtopics 1) Comparing 2) Adding Fractions 3) Subtracting Fractions 3) Multiplying Fractions 4) Dividing Fractions 5) Relating Situations to Fraction Operations 9

Explore, Discuss, Summarize Explore materials for your topic(s) –Reasons students struggle (FG) –Diagnostic (SB, FG) –Interventions (SB, FG) Create a summary sheet (chart paper) of key ideas and tips for secondary teachers. 10

Sharing our Insights Jigsaw –Number off in your groups (1-6) –Regroup Gallery walk – 5 minutes / group 11 5 minutes

Reflection… Think back to your scary fraction story… How might you help this student? 12

Slope and Fraction Meanings Review the Pancake Problem. What fraction meanings do you see in this problem? How do they connect to each other? 13

Reflect and Predict How did secondary students respond to the following questions? 14

Question One: On an assignment, Jaime received the following scores: Section A: Section B: Total: Jaime was confused, because using what she knew about fractions, she didn’t think that How would you explain this to Jaime? 15

Question Two: Show what you know about and Use different representations to communicate your ideas. 16

Question Three: Give a real life example of a problem where the solution could involve dividing by ½. 17

Question Four: What do you know about ? Use diagrams, numbers, algebra, words etc. to communicate your ideas. 18

Question Five Create one sentence that makes sense that includes ALL of these words and numbers: Improper, fraction, simple, challenging, 8 19

Making Predictions What misconceptions might students have when doing these questions? Make some predictions. 20

Exit Card What have you noticed / learned? What are your lingering wonderings? 21