1. Linear Relations Thursday, September 5 th, 2013

2. Agenda 1. Take up homework 2. Linear Relations Review 3. Practice

3. Learning Goal By the end of the lesson… … students will be able to calculate slope and graph linear relations using a table of values, the x,y intercept method & slope/intercept method

4. Curriculum Expectations Course – not applicable (prior review) Ontario Catholic School Graduate Expectations: The graduate is expected to be… a self-directed life long learner who CGE4f applies effective… problem solving… skills

5. Mathematical Process Expectations Problem solving – select, (and) apply… a variety of problem-solving strategies

6. Linear Relations Review Cartesian Plane Slope Formula Graphing linear relations Table of values x,y intercepts Slope/intercept Special cases – vertical & horizontal lines

7. Linear Relations Review Cartesian Plane

8. Linear Relations Review Slope Formula Ex. What is the slope between (3, -4) and (-2, 2)? Try: (1, -4) and (3, 4)  slope : steepness of a line = run rise = x y   = 12 12 xx yy   = rate of change of y with respect to x

9. Linear Relations Review Ex. What is the slope between (3, -4) and (-2, 2)? Try: (1, -4) and (3, 4)

10. Linear Relations Review Graphing linear relations Table of values Ex. y = 2x + 1

11. Linear Relations Review Graphing linear relations Table of values Try y = -2x -2

12. Linear Relations Review Graphing linear relations x,y intercepts Ex. 5x = y - 9

13. Linear Relations Review Graphing linear relations x,y intercepts Try: 5x – 7y – 35 = 0

14. Linear Relations Review Graphing linear relations Slope/intercept Ex. 2y = x + 6

15. Linear Relations Review Graphing linear relations Slope/intercept Ex. 3x – y = 6

16. Linear Relations Review Special cases – vertical & horizontal lines

17. Humour Break

18. Review Day 3 Homework P.26 #1a, 2a, 3b & 5a P.28 #1a, 3a, 3b, 4, 6ace