WELCOME TO HONORS GEOMETRY at METAMORA HIGH SCHOOL! SUMMER REVIEW INFORMATION Dear Parents and Students, Mathematics is a discipline that constantly builds on previous knowledge. Students entering Honors Geometry will be expected to recall and apply the material that they learned in Algebra during 8 th or 9 th grade. To help ensure your success in Honors Geometry, the high school mathematics department has compiled a list of problems that represent some of the most frequently used Algebra concepts. Please take some time this summer to go over these problems. When you return to school in the fall, be prepared to ask questions on any problems that have you stumped. We will take approximately ONE day to review the algebra concepts and then take the prerequisite test to help determine your placement and readiness for Honors Geometry. This will count as a test grade in Honors Geometry since Algebra I concepts are a prerequisite! You do NOT need to do ALL problems in this packet. Do enough so that you understand the concept. There are extra problems for those that are struggling with certain concepts. Please make it a priority to get logged onto Mrs. Gualandri’s Google Classroom. This will give you access to an extra summer packet, calculator requirements, helpful videos, solutions to the packet, and other information. You will also be able to message Mrs. Gualandri and other students with questions over the summer. (1) Login to google using your login information <--if you don’t have this, email [email protected](You must use your mths email to have access to my classroom account!) (2) Go to: classroom.google.com (3) Type in the code: vnypin8 This website has videos of me teaching each problem from the Quiz at the end of the packet as well as the solutions to all problems in the packet. If you lose this packet, the high school guidance department will have extra copies available. The packet is also on Mrs. Gualandri’s website. Feel free to contact our department chair, Mrs. Stone, at [email protected] or Honors Geometry teacher, Mrs. Gualandri, at [email protected]if you have any questions. Have a wonderful summer! The Mathematics Department Metamora High School
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WELCOME TO HONORS GEOMETRY at METAMORA HIGH SCHOOL!
SUMMER REVIEW INFORMATION
Dear Parents and Students, Mathematics is a discipline that constantly builds on previous knowledge. Students entering Honors Geometry will be expected to recall and apply the material that they learned in Algebra during 8th or 9th grade. To help ensure your success in Honors Geometry, the high school mathematics department has compiled a list of problems that represent some of the most frequently used Algebra concepts. Please take some time this summer to go over these problems. When you return to school in the fall, be prepared to ask questions on any problems that have you stumped. We will take approximately ONE day to review the algebra concepts and then take the prerequisite test to help determine your placement and readiness for Honors Geometry. This will count as a test grade in Honors Geometry since Algebra I concepts are a prerequisite! You do NOT need to do ALL problems in this packet. Do enough so that you understand the concept. There are extra problems for those that are struggling with certain concepts. Please make it a priority to get logged onto Mrs. Gualandri’s Google Classroom. This will give you access to an extra summer packet, calculator requirements, helpful videos, solutions to the packet, and other information. You will also be able to message Mrs. Gualandri and other students with questions over the summer.
(1) Login to google using your login information <--if you don’t have this, email [email protected] (You must use your mths email to have access to my classroom account!)
(2) Go to: classroom.google.com (3) Type in the code: vnypin8
This website has videos of me teaching each problem from the Quiz at the end of the packet as well as the solutions to all problems in the packet. If you lose this packet, the high school guidance department will have extra copies available. The packet is also on Mrs. Gualandri’s website. Feel free to contact our department chair, Mrs. Stone, at [email protected] or Honors Geometry teacher, Mrs. Gualandri, at [email protected] if you have any questions. Have a wonderful summer! The Mathematics Department Metamora High School
15. 5.82 x 0.78 = 16. 0.165 x 74 = 17. 0.01 x 0.167 x 0.9 = 18. 0.49 æ 0.7 = 19. 0.17 æ 8.5 = 20. 2 æ 0.172 =
Order of Operations Simplify the following expressions.
Multiplying Polynomials Multiply the following polynomials.
Factoring Polynomials Factor the following expressions completely.
Radicals Simplify the following radicals.
Graphing Lines Graph the lines with the following equation or given characteristics.
1. 2. Through (-1,11), m=5
3. 4. Through (6, 19), m=0 5. Vertical line, through (9,5)
6.
7. Through (0, -12), m=-2 8. Vertical line, through (-2, -5)
9.
10.
11.
12.
Slope and Equations of Lines Find an equation of the line containing the given point and having the given slope.
Find the equation of the line that contains the pairs of given points.
Systems of Equations Solve the given system of equations.
Quadratic Equations Solve the equation for x.
Quadratic Formula
Solve.
Practice Quiz Complete this once you feel like you know what you are doing to determine how well you do! Then, check your answers and watch the videos to see how they are done correctly. Order of Operations: Simplify. 1. 2 x 3 - 4 x 2 + 7 2. 32 æ 4 x 32 3. [6 + (3 - 4)] x 5
Slope and Equations of Lines: Given an equation of a line, name its slope and y-intercept. 21. y = ¼ x – 3 22. 2x + 3y = 6 Write the equation in slope-intercept form of the line with the following properties: 23. slope 1/5, contains (5, -1) 24. contains (-4,2) and (1, -3) Systems of Equations: Solve the system of equations. 25. 2x + 3y = 7 x = 1 – 4y 26. 3x – 5y = 8 4x – 7y = 12 Quadratic Equations: Solve for x. 27. x2 + 4x – 12 = 0 28. 5x = x2 – 3x Quadratic Formula: Solve using the quadratic formula. 29. 2y2 – 7y – 15 = 0
