Honors Geometry Summer Assignment DUE: SEPTEMBER 20 th, 2018

Size: px

Start display at page:

Download "Honors Geometry Summer Assignment DUE: SEPTEMBER 20 th, 2018"

Silvester Mathews
5 years ago
Views:

1 Honors Geometry Summer Assignment DUE: SEPTEMBER 0 th, 018 As an incoming Honors Geometry student, it is important that you are proficient in skills from previous math courses. This assignment contains examples of the skills you are expected to know, such as factoring, graphing, slope, angle measures, transformations, and solving equations. **Completion of this packet will count towards your first assessment grade** **All students entering Honors Geometry will be assessed on the skills reviewed in this assignment ** If you need assistance with any of these skills, we strongly recommend that you utilize the video resources that are provided. Enroll in the Google Classroom Franklin Township Math Summer Projects Grades 6-1 for easy access to hyperlinks using the code: 3ayq1k Or visit the Franklin Township Public Schools Mathematics page for more information: SCORE CRITERIA SCORING RUBRIC 5 Student completed packet and showed effort throughout. 3 Student partially completed packet and showed little effort throughout. 0 Student did not complete packet or showed no effort throughout. 1

2 Linear Equations Resource: Solve. 1) 5x+3 = -1 ) (x + 8) = 3) 3 x + 5 =11 ) (3x + ) (x+) = 7 5) 5+ x = 8 6) 3x 5 = x + 6 7) (x + 5) = 36 8) 1 (x + ) = 9 9) 1 (6x-8) - (5x+9) = 31 Factoring Quadratic Expressions Resources: Factor the following expressions. 10) x 11x + 11) x + 5x + 3 1) x + 6x 16

Solving Quadratic Equations Resources: https://www.youtube.com/watch?v=sde-1lges0u QUADRATIC FORMULA x =!!±!!!!!"!! Solve each equation by factoring or using the quadratic formula.

3 Solving Quadratic Equations Resources: QUADRATIC FORMULA x =!!±!!!!!"!! Solve each equation by factoring or using the quadratic formula. 13) 1x - 99x + =0 1) x - 16x + =0 15) ) x 6 = 7 16) 8n + n 16 = n Coordinate Geometry Resources: 1_IJ00lQ&v=TxBikFiKxgY 17) Segment 1 has points A(3, 0) and B(0, 6). 18) Calculate the slope of Segment 1. Segment has points C(1, -5) and D(-, 1). Plot the points. Calculate the slope of Segment. 19)Based on the slopes of Segment 1 and Segment, are the segments parallel? Explain why or why not. 0) Use the Pythagorean theorem to calculate the distance of Segment 1 in simplest radical form. 3

4 Systems of Equations Resources: Solve the system. Are the following lines parallel? 1) y = -x + 7 x + y = 15 ) y = x + 8 x - y = 3 3) 3x + 6y =18 3y = 3 x + 9 ) When solving the system of 6y+ x= 3 equations x+ y = 8 using substitution, which variable will you solve for and which equation will you use to substitute into? Think and solve the system 5) A student bought 1 box of crayons and 5 reams of paper for $5. She bought 5 boxes of crayons and 3 reams of paper for $50. Write the system of equations for this situation and solve using method of elimination to find the cost of each box of crayons and each ream of paper? 6) If the length of the rectangle is twice the width, and the perimeter of the rectangle is 30 cm, what is length and width of the rectangle? Transformations Resources: 7) The point R(, -) is translated 5 units up. What are the coordinates of the resulting point, R? 8) The point Z(5, 5) is reflected over the x-axis. What are the coordinates of the resulting point, Z?

5 Area & Perimeter Resources: 9) Determine the area and perimeter of a square with length 3.6 cm 30) Determine the area and perimeter of a rectangle with sides of length 9mm width. cm 31) Find the area and circumference of a circle with radius in. 3) Find the area and circumference of a circle with diameter 9 in 33) Find the circumference of a circle with area 36π square centimeters Radicals Resources: Simplify each radical expression. 3) ) 5 36) ) ) 5 39) ) x 11 1) 3c 7 )

FRANKLIN GARDEN Resources: https://www.youtube.com/watch?v=cpivowzj688 http://www.virtualnerd.

6 FRANKLIN GARDEN Resources: If the top of the garden has length (x - 15) feet and the bottom of the garden has length (x) feet, what is the numeric length of the garden? Hint: solve using factoring; use the positive solution. A diagonal walkway cuts between the squash and the carrots. If m 1 = 80 o, calculate the measures of all other numbered angles. a) m = e) m 6 b) m 3 = f) m 7 = = c) m = g) m 8 = d) m 5 = Which transformation would map the cucumber section onto the tomato section? Which transformation would map the cucumber section onto the carrot section? 6

Geometry Summer Assignment DUE: SEPTEMBER 20 th, 2018

Geometry Summer Assignment DUE: SEPTEMBER 0 th, 08 As an incoming Geometry student, it is important that you are proficient in skills from previous math courses. This assignment contains examples of the