1. 1 Math CAMPPP 2012 Breakout Session 6 Gr. 9-12

2. Session Goals Participants will have the opportunity to explore and discuss: 1.Fractions as linear measure 2.Curriculum connections to fraction meanings 3.How number lines support key fraction concepts 4.Connecting number lines to algebra and graphical representations 2

3. Session Agenda Fraction Meanings – Revisited Curriculum Connections Variable Number Lines Number lines and Graphical Representations 3

4. Class Number Line 4 Choose two of the following numbers to create a fraction between 0 and 4. 2 3 4 5 6 7 8 10 12 15 20 30 40 50 100 1000 Write your fraction and your name on a sticky note, and place it on the number line.

5. Matching Cards Find a partner, and group cards by fraction meanings. After you are done, share at your table Which ones do you think your students would struggle with? Why? 5

6. Fractions in the Curriculum Group by course Brainstorm curriculum connections Update curriculum wall Colour code to fraction meanings. Update “tips for secondary teachers” list with related insights 6

7. Fractions on a Number Line Watch this grade 6 class in action: Fractions on a Number Line What do you notice? 7

8. Key Concepts: Fractions on Number Line Density of Fractions Whole is defined by a symbol Fractions have values Partitioning, unit fractions Skip counting by fractions Magnitude is linear measure 8

9. Variable Number Lines Make a number line using the string provided. Tape it up somewhere in the room. Place the following values on the number line in order. 0, x, 2x,, x+1, 9

10. Variable Number Lines (cont.) What concepts /ideas does this bring out Could this activity be used with students?  Distribute Article 10

11. Trig Connections 11 0 22

12. Number Lines and Graphs Watch this video: Gap MinderGap Minder What is the connection between variable number lines and graphical representations? 12

13. Group Activity Each person gets a number line Each person picks a different value for x between 0 and 5 (could pick fractions) Carefully plot the value of the following expressions: 13

14. Group Activity (cont’) Combine your number lines to make a graph of the following functions: 14

15. Geometer’s Sketchpad Demos Demo 1 Demo 2 15

16. Reflection What ideas from today might you integrate into your work practice? What are you still wondering about? –Post stickies on chart paper on your way out 16