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COORDINATE PLANE • MATHEMATICIANS USE HORIZONTAL AND VERTICAL ________ Axes TO DIVIDE A PLANE INTO FOUR REGIONS CALLED ______________. Quadrants • THE HORIZONTAL AXIS IS CALLED THE ___________. x-axis y-axis • THE VERTICAL AXIS IS CALLED THE ___________. 1-9: PATTERNS, EQUATIONS AND GRAPHS Pair Ordered ___________OF • AN _____________ NUMBERS NAMES THE LOCATION OF A POINT ON THE PLANE. • THESE NUMBERS ARE THE __________________ OF THE POINT. Coordinates • THE FIRST COORDINATE IS THE _________________. x -coordinate • THE SECOND COORDINATE IS THE ________________. y-coordinate ALGEBRA 1 I II 1. Draw and label the x and y –axes on the coordinate plane. 2. Label the origin. 3. Label the Quadrants: I, II, III & IV 4. Plot the points A: (-2,5), B: (0,-4), C: (6,0), D: (-3,-5) x 5. Identify the quadrants for the following coordinates: III (-5,-6) ______ (0,-4) ________ y-axis II (2,-4) ______ x-axis (3,0) _________ (5,5) ______ I x-axis (-5,0) ________ IV (-3,7) ______ y-axis (0,6) ________ C D III 1). ORIGIN (0,0) y Right Socks Left Socks 0 1 2 3 4 5 6 7 Write an equation: L R4 Graph the solutions: Tell whether the ordered pair is a solution to the equation: 2 2 y x 4; 5,1 3). y x ; 2, 2 2). y x 8; 8, 0 0 88 0 16 1 54 11 B NO YES IV You have four more left socks than right socks. How can you represent the relationship between the number of left and right socks in three different ways? Set up a table: SOLUTIONS TO EQUATIONS WITH TWO VARIABLES • A ______________ TO AN EQUATION WITH TWO VARIABLES IS AN Solution True ____________ MAKES THE EQUATION _________. Ordered ________THAT Pair A Complete Got It? #1 p. 69 5 5 2 2 2 2 5 5 2 2 2 2 5 5 YES a). YES b). NO EXTENDING THE PATTERN Reasoning TO Inductive ______________ • USE _____________ PREDICT VALUES. Conclusion BASED • REACHING A _________________ Observed Pattern ON AN _______________ ____________. Use the equation 𝐿 = 𝑅 + 4 to predict values If you have 12 right socks how many left socks do you have? L R 4 12 4 16 If you have 20 left socks how many right socks do you have? L R 4 20 R 4 16 R 1 Homework: p. 72 #10-30 even, 34, 37-40 2