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

 Level What How Many Points My Score C Maximum # points: 65 Listen to the lecture and take notes 5 /day Read 5.1 and 5.2 and do assigned questions 10 Read 5.3 and 5.4 and do assigned questions 10 Read 5.5, p. 268, and 5.6 and do assigned questions 10 Read 5.7, pp. 280 - 281, and 5.8 and do assigned questions 10 Mental Math p. 237 5 Pattern Power p. 267 5 Sample Quiz 10 Flash Cards 10 Study Notes 10 Journalling (Choose one of three topics from website) 5 Mind Map 10 B Investigating Math pp. 238 - 239 15 5.9 Modelling Math - Sports pp. 288 - 289 Website Review A CHOOSE ONE Exploring Math p. 291 20 Challenge Problems (download from website) Research Paper: The Invention of the Cartesian Coordinate System
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