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Math CAMPPP 2012Breakout Session 6

Gr. 9-12

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

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Session Agenda

• Fraction Meanings – Revisited• Curriculum Connections• Variable Number Lines• Number lines and Graphical

Representations

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Class Number Line

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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.

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?

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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

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Fractions on a Number Line

Watch this grade 6 class in action:

Fractions on a Number Line

What do you notice?

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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

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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,

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3x

xx 1

Variable Number Lines (cont.)

• What concepts /ideas does this bring out

• Could this activity be used with students?

Distribute Article

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Trig Connections

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Number Lines and Graphs

• Watch this video: Gap Minder

• What is the connection between variable number lines and graphical representations?

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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:

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Group Activity (cont’)

Combine your number lines

to make a graph of the

following functions:

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Geometer’s Sketchpad Demos

• Demo 1 • Demo 2

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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

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