College Algebra Unit 1 Standard 2

Transcription

1 Name: College Algebra Unit 1 Standard 2 Day Learning Target Assignment Identify parts of coordinate plane and find 1 slope. Worksheet #1 Write linear equations using point slope form. 2 Worksheet #2 Write linear equations using slope intercept form and vertical and horizontal lines. Worksheet # Write linear equations using standard form. 4 Worksheet #4 Graph linear equations using x and y 5 intercepts. Worksheet #5 Write equations of parallel and perpendicular 6 lines. Worksheet #6 Write linear equations given graph. 7 Worksheet # Review Review Unit 1 Standard 2 Test This is an outline. The assignments/quizzes/tests are subject to change

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3 College Algebra Unit 1 Standard 2 Coordinate Plane and Slopes - Notes Day 1 Name Learning Targets: Students will be able to identify the parts of the coordinate plane and graph ordered pairs. Students will be able to find rate of change and identify different types of slopes and find the slope given two coordinate points using the slope formula. Warm Up: 1) Label all the parts of the coordinate plane below. Can you identify the x-axis, the y-axis, the origin, and each quadrant? 2) Use the coordinate plane above to plot the following points. Identify which quadrant contains each point A (, 4) B (0, 5) C (-, -7) D (-4, 5) E (-4, 0) F (1, -2) Coordinate Plane: Two perpendicular number lines called the x axis (horizontal) and y axis (vertical number line). x coordinate: the first number in an ordered pair y coordinate: the second number in an ordered pair (x, y) Origin: The intersection of the x and y axis. The ordered pair is (0, 0). Quadrants: The x axis and y axis separate the coordinate plane into four regions (rotate counter-clockwise). SLOPE: The slope can be defined as the of a line in the coordinate plane. We use the following symbols for slope: Slope rise vertical change change in y m run horizontal change change in x

4 ) The relationship between Celsius ( 0 C) and Fahrenheit ( 0 F) is linear. Find the average rate of change that relates 0 C to 0 F given the following table: Celsius ( 0 C) Fahrenheit ( 0 F) Determining Slope Given Two Points: There are four types of slope: Positive Slope Negative Slope Noo slope/undefined Slope Zero Slope Use the graph to determine the average rate of change of each line below. 4) Determine the average rate of change of the line passing through each pair of points. 5) (-5, ) and (2, 1) 6) (4, ) and (1, -1) 7) (-, -9) and (-4, -12) ASSIGNMENT #1: Worksheet #1

5 College Algebra Unit 1 Standard 2 Point-Slope Form - Notes Day 2 Name Point-Slope Form Learning Targets: Students will be able to write linear equations using point-slope form. Warm Up : Find the average rate of change of the line passing through each pair of points. 1) (0, ) and (2,5) 2) (-2, 4) and (-2, 1) ) The following chart represents the total revenue that would be received from selling x bicycles at Lucky Brake Bicycles Shop: Number of Bicycles, x Total Revenue, R (Dollars) , , , ,525 a. Find the average rate of change of revenue from 0 to 25 bicycles. b. Find the average rate of change of revenue from 150 to 249 bicycles. Point-Slope Form of a Line Write the equation of a line in point slope form passing through the given point with the given slope ) (2, ), m 5 5) (-5, 9), m 6) (7, 0), m 4

6 Write the equation of a line in point slope form passing through the two given points. 7) (2, 0) and (-5, 7) 8) (1, -4) and (5,, 2) 9) (-, -9) and (-4, -12) Using the given graphs, write an equation of each line in point slope form. 10) 11) ASSIGNMENT #2: Worksheet #2

7 College Algebra Unit 1 Standard 2 Writing Equations of Lines - Notes Day Name Learning Targets: Students will be able to write equations of lines using slope intercept form and to write equations of vertical and horizontal lines. WARM UP 1) Write the point-slope form of an equation of the line passing through the given point and having the given slope. (2,1),m 4 2) Write the point-slope form of an equation of the line passing through each pair of points. (6,),( 8,5) Slope-Intercept Form ) State the slope and y-intercept for each equation. a) y x 7 b) y x 11 c) 4 2 y x d) y 5

8 4) Write an equation in slope-intercept form of the line passing through the given point and having the given slope. a) 1, 4,m b) 2,6,m 1 2 c) 2,6,m 0 5) Write an equation in slope-intercept form of the line passing through the given points. a) 1,2,5,6 b) 9,2 c) 6, 7, 6, 10,,6 ASSIGNMENT #: Worksheet #

9 College Algebra Unit 1 Standard 2 Writing Linear Equations in Standard Form - Notes Day 4 Name Learning Targets: Students will be able to write linear equations in standard form. Warm Up: Write the equation of the line in point slope form satisfying the given conditions. 1) (4, 0) and (-2, 1) 2) (-, -5), m 2 Standard Form of a Linear Equation: ) Rewrite each equation into standard form given point slope form. a) y 2 2( x ) b) y 1 x 5 c) 5 2 y 1 x 4) Write an equation in standard form of the line passing through the given point and having the given slope. a) 1, 4,m b) 2,6,m 1 2 c) 2,6,m 0

10 5) Write an equation in standard form of the line passing through the given points. a) 1,2,5,6 b) 9,2 c) 8, 7, 8, 10,,6 ASSIGNMENT #4: Worksheet #4

11 College Algebra Unit 1 Standard 2 Graphing linear equations using intercepts - Notes Day 5 Name Learning Targets: Students will be able to graph linear equations using x- and y- intercepts. WARM UP (Hint: Start with Point-Slope Form) 1) Write the standard form of an equation of the line passing through the given point and having the given slope. (2,1),m 4 2) Write the standard form of an equation of the line passing through each pair of points. (6,),( 8,5) X and Y intercepts The x-intercept of a graph is An x-intercept is written as an ordered pair. The y-intercept of a graph is A y-intercept is written as an ordered pair.

12 Use the graphs below to find and state the x- and the y-intercepts. ) 4) Determine the x- and the y-intercepts for each linear equation. Then graph the line using the intercepts. 5) x 2y 12 6) xx 5y 9 7) x 6y 24 8) 7x 14y 28 9) y 2x 4 10) y 9 x ASSIGNMENT #5: Worksheet #5

13 College Algebra Name Unit 1 Standard 2 Writing linear equations of parallel and perpendicular lines - Notes Day 6 Learning Targets: Students will be able to determine whether lines are parallel, perpendicular, or neither and to write equations of parallel and perpendicular lines. Parallel Lines have the slope. Perpendicular Lines have the slope. 1) If line g has a slope of 4, what is the slope of the line parallel to g? m ll 2) If line g has a slope of 4, what is the slope of the line perpendicular to g? m

14 ) Classify each pair of equations as representing lines that are parallel, perpendicular, or neither. a. 5 y x 8 5x y 9 b. 2 x y 7 2x y 8 c. x 4 y 6 4x y 7 d. y 6 x 7 4) Write the slope-intercept form of an equation of the line passing through the given point (2,) and parallel to y x 1 2 5) Write the slope-intercept form of an equation of the line passing through the given point (6,4) and perpendicular to x y 6) Write the slope-intercept form of an equation of the line passing through the given point (-8,4) and perpendicular to 2 y x 5 ASSIGNMENT #6: Worksheet #6

15 College Algebra Unit 1 Standard 2 Write linear equation given graph - Notes Day 7 Name Learning Targets: Students will be able to write linear equations given a graph. Warm UP: Write an equation of the line that passes through the given point and is parallel to the graph of the given equation. 1) (, 2); y = x 2 Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. 2) (2, 1) ); y = 2x + 1 Using the given graphs, write an equation of each line in slope-intercept form. ) 4)

16 Using the given graphs, write an equation of each line in slope-intercept form. 5) 6) ASSIGNMENT #7: Worksheet #7