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Day 4: Graphing Linear Functions Goal: To solve for a variable AND To graph linear functions using tables or equations Standard: 9.2.1.8 – Make Qualitative statements about the rate of change of a function based on its graph or table of values 9.2.2.3 – Sketch graphs of linear, quadratic and exponential functions and translate between graphs, tables and symbolic representations. Know how to use graphing technology to graph these functions. Guiding Question: What and how are the many ways I can graph a line? Materials: Pencil, Folder, Student Packet Day 4: Graphing Linear Functions 1 Math Review Day 4 Adding and Subtracting Decimals 1.309+ 134.8 Adding and Subtracting Fractions 4 1 5 8 “When you add or subtract decimals, make sure you line the decimals up.” “When you add or subtract fractions, you need a common denominator” Dividing Fractions 6 12 13 15 Menta l Math “To give dividing fractions a try, flip the second and multiply.” Reflection Starters: “I know……” or “I need to work on……” Day 4: Graphing Linear Functions 2 Access: Graph the points on a coordinate plane: A (5, 6) B (-1, -3) C (4, -9) D (-1.5, 0) Day 4: Graphing Linear Functions 3 Solve for a variable: A) 2x - 3y = 12 B) 2x + y = 8 Try: C) 5y = 5x - 10 D) 2y - 6y = -8 Day 4: Graphing Linear Functions 4 What is a function? What makes a function linear? How can I graph a line? Table, Slope and Intercept, x-and y- intercepts, and slope-intercept form Day 4: Graphing Linear Functions 5 Graph: A) Slope = 2 5 y-intercept = 4 B) Slope = 4, y-intercept = 1 2 Day 4: Graphing Linear Functions 6 Try: 1 C) Slope = 4 y-intercept = 4 D) slope = 3, y-intercept = 2 Day 4: Graphing Linear Functions 7 Graph A) y 1 x 3 2 1 B) y x 5 3 C) y = x + 6 Day 4: Graphing Linear Functions 8 Try: D) y 2 x 6 5 E) y = 3x - 1 F) y = -2x + 4 Day 4: Graphing Linear Functions 9 Graph: A) 6x + 3y = 12 B) 2x + y = 8 Day 4: Graphing Linear Functions 10 Try: C) 2x - 6y = 6 D) 2x + 3y = -12 E) 5x - 2y = 10 Day 4: Graphing Linear Functions 11 Work Time: Work through pages 13 and 14 in your packet Multiplication test at: ______ Exit Slip at: _________ Day 4: Graphing Linear Functions 12 Multiplication Timed Test: -Page 11 of your packet – tear out of packet You have five minutes to fill in as much as you can Go = Start, Stop = hands up! Highlight the ones you did not know Day 4: Graphing Linear Functions 13 Exit Slip: (on a half-sheet of scratch paper) New Material (NM): Solve for y: A) 7y + 14x = 28 B) -5y = 2x + 7 Graph: A) y 1 x 3 B) y = -3x C) y = 2 D) 3x - 2y = 6 2 Make sure your name is on it, and turn it in! Day 4: Graphing Linear Functions 14