Algebra 2 /Trigonometry Honors Mrs. Kushnir Unit 1: Linear and Absolute Value Equations and Inequalities Essential Questions for the Unit What types of "real life" phenomena are modeled by linear and absolute value functions? What are various ways of solving absolute value equations and inequalities? What is the difference between inverse variation and direct variation? What are real-life situations in which bi-variate data vary directly? Inversely? How can you recognize the graph of an absolute value function? How can we use data to make predictions? How can we use linear function equations to describe (approximate) data trends? Day 1 2 3 4 5 6 Topic Class Business; Review of Linear Equations Direct Variation Inverse Variation (incl. word problems, graphs) Linear Models, Linear Regression, Correlation Coefficient Solving Absolute Value Equations Homework Pp. 67 – 69 (10, 27 ,30,33,36,38 – 41, 71, 73) p. 75 (39 - 42, 46, 47) pp. 491 – 492 (7 – 15, 31, 32, 35, 40, 44) pp. 498 – 499 (3, 33) pp. 81-83 (5 – 7, 19) Day 3 HW packet (correlation, line of best fit) Solving Absolute Value Inequalities; Absolute Value Word Problems pp. 36-37 (29, 31, 45 – 53 odd, 55 – 57) Also do the following… Graphs of Absolute Value Functions pp. 90-91 (1,2 ,38 – 46 even, 51, 55) *Make a table of values for each equation (at least 5 points) and graph neatly ON GRAPH PAPER. pp. 36-37 (4, 6, 8, 34 – 42 even, 61 - 63) Also, solve the following algebraically: x 2 3x 10 2 x Last year’s senior class spent $23.95 for each yearbook. This year’s class knows that their yearbook must be within $5.50 of last year’s. Write an absolute value inequality that could be used to model the acceptable price range for this year’s yearbook, and then solve the inequality to find the range of acceptable prices for the yearbook. More on other side Day 7 Topic Given the Absolute Value Graph, Write the Equation. Homework pp. 98 - 99 (23 – 37, 48 – 51, 54 – 55) Also, write the equation of the graph shown… 9 Solving Absolute Value Day 8 HW sheet Equations and inequalities by Graphing REVIEW For TEST Study for exam using the review materials provided. 10 TEST 8 None. Work on your Problem Set.