Back to sample menu

Grade 9 Math

David Weiss, Ontario, Canada

CHAPTER FIVE EXPECTATIONS

- construct tables of values, graphs, and formulas to represent linear relations derived from descriptions of realistic situations (e.g., the cost of holding a banquet in a rented hall is $25 per person plus $975 for the hall);

- construct tables of values and scatter plots for linearly related data collected from experiments (e.g., the rebound height of a ball versus the height from which it was dropped) or from secondary sources (e.g., the number of calories in fast food versus the number of grams of fat);

- determine the equation of a line of best fit for a scatter plot, using an informal process (e.g., a process of trial and error on a graphing calculator; calculation of the equation of the line joining two carefully chosen points on the scatter plot);

- construct tables of values and graphs to represent non-linear relations derived from descriptions of realistic situations (Sample problem: A triangular prism has a height of 20 cm and a square base. Represent the relationship between the volume of the prism and the side length of its base, as the side length varies);

- construct tables of values and scatter plots for non-linearly related data collected from experiments (e.g., the relationship between height and age) or from secondary sources (e.g., the population of Canada over time); sketch a curve of best fit;

- demonstrate an understanding that straight lines represent linear relations and curves represent non-linear relations.

- determine values of a linear relation by using the formula of the relation and by interpolating or extrapolating from the graph of the relation (e.g., if a student earns $5/h caring for children, determine how long he or she must work to earn $143);

- describe, in written form, a situation that would explain the events illustrated by a given graph of a relationship between two variables (e.g., write a story that matches the events shown in the graph);

- identify, by calculating finite differences in its table of values, whether a relation is linear or non-linear;

- describe the effect on the graph and the formula of a relation of varying the conditions of a situation they represent (e.g., if a graph showing partial variation represents the cost of producing a yearbook, describe how the appearance of the graph c changes if the cost per book is altered; describe how it changes if the fixed costs are altered).

CHAPTER FIVE

LINEAR & NON-LINEAR RELATIONS

Section	Title	Homework
5.1	Relations as Ordered Pairs	pp. 243-245 #2-5 (all) #10-13 (all),
5.2	Graphing Ordered Pairs	pp. 248-249 #1-29 (odd), #32-35
5.3	Graphing Linear Relations	pp. 252-253 #1-6 (all), #8-10 (all)
5.4	Graphing Linear Equations	pp. 257-258 #1-15 (odd), #22, 24, 26
5.5	Direct and Partial Variation	pp. 265-267 #1-11 (odd), #18, 20, 23, 26, 28
Technology	Finding the Equation of a Line	p. 268 (all)
5.6	Equations of Lines of Best Fit	pp. 271-274 #2 (all), 5 (all), 7 (all), 8 (all), 9 (all)
5.7	Non-Linear Relations	pp. 277-279 #1-2, #7-9 (all)
Investigating Math	Finite Differences	p. 281 (all)
5.8	General Relations	pp. 283-285 #1-4 (all), #6 (all), #8 (all)
	Review	pp. 290-292

Name: _________________________________

CHAPTER FIVE: LINEAR & NON-LINEAR RELATIONS