Gaithersburg Middle School. Honors Geometry. Summer Packet

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1 Name: Date: Gaithersburg Middle School Honors Geometry Summer Packet Honors Geometry Page 1 Summer, 2013

2 Dear student, Hooray! Summer vacation is almost here and the start of the new school year is just around the corner. We want you to be as prepared as possible for the school year. It is important that you have a smooth transition to your new math class right at the beginning of the school year. With this in mind, we are providing a practice workbook of previously taught skills for you to complete over the summer. It is your responsibility to complete the packet before the start of the school year. Please look for the calculator and no calculator symbols throughout the packet. Your new math teacher is expecting to see all work necessary to solve the problems in this packet. Work space is provided. However, if you use lined paper, please attach it to your packet. Your signature at the bottom of the page signifies that you have completed all work to the best of your ability and tried your best to complete the packet. If you have trouble on some of the information, seek assistance from a parent/guardian or other adult who may be able to assist you! Best wishes and we will see you soon! Sincerely, GMS Mathematics Department Dear Parent/Guardian, It is important to us that your child has a smooth transition into a new math course. With this in mind, we are providing a practice workbook of previously taught skills for your child to complete over the summer. By doing so, it is our goal to increase your child s retention of mathematics skills and to assure a clear understanding of expectations we have for students in the upcoming year in math. Please encourage and monitor your child s completion of this workbook. Please make sure that ALL WORK IS SHOWN on each page or on attached paper. Remember, the goal is to work on it consistently throughout the summer and not to rush to finish it quickly. Students are to submit their workbooks to their math teachers within the first week of school. The packet will be assessed for a completion grade. Please sign and date the bottom of this document stating that your child has completed the summer math packet to the best of his/her ability. A list of suggested supplies and resources is also attached to this summer packet. The math department will be using TI-Nspire and graphing calculators for classroom instruction, homework completion, and MCPS assessments. Students may choose to purchase their own to bring back and forth to school. It is recommended that you purchase the graphing calculator during the summer so that your child can become acquainted with it before school starts in the fall. Thank you for your support! Suggested Math Supplies for Honors Geometry Student: #2 pencils Binder Journal Protractor- basic and clear Compass Graphing Calculator- TI 83+/TI-84 Sincerely, GMS Mathematics Department Please fill in the following information when the summer math packet is complete: Student Signature Grade: Date: Parent/Guardian Signature Date Honors Geometry Page 2 Summer, 2013

Protractor Compass- Choice 1 Compass- Choice 2 Clear Plastic Protractors with a small hole are the easiest for the

Calculators Metal compasses are the easiest for student to use. They won t move around as much as the plastic ones.

The compasses above are available at most office supply stores.

sketch a figure. These compasses are available online or at most teacher supply stores. Cost- $0.

$are helpful for fractional operations!$ the IM 7 curriculum. It will also be necessary for the Algebra course in following school year.

The number sentence stays on the top of the screen. The student can scroll through previous operations.

$The calculator automatically simplifies fractions.$ This is one of the calculators used by the GMS math department.

The textbook provided to your child is the standard MCPS textbook. It is the Holt Geometry textbook (2008 edition).

3 Protractor Compass- Choice 1 Compass- Choice 2 Clear Plastic Protractors with a small hole are the easiest for the children to use. The protractor above is available at most office supply stores. Calculators Metal compasses are the easiest for student to use. They won t move around as much as the plastic ones. Compasses with wheels in the middle are the most stable to use. The compasses above are available at most office supply stores. Safety compasses have unique slides that are easy to adjust and easy to tighten, yet hold firm when students go to sketch a figure. These compasses are available online or at most teacher supply stores. Cost- $0.50 Cost- $2 - $10 Cost- $2 - $4 Suggested Texas Instrument Graphing Calculator (TI-83+ or 84) Scientific calculators are helpful for fractional operations! Casio FX-300MS Plus 229 Texas Instrument TI-30X IIS Texas Instrument TI-34II Graphing calculators will be utilized in the IM 7 curriculum. It will also be necessary for the Algebra course in following school year. Graphing calculators can be rented from GMS. Ask your child s Math teacher for a calculator rental form. The number sentence stays on the top of the screen. The student can scroll through previous operations. It turns off automatically. This is one of the calculators used by the GMS math department. The calculator automatically simplifies fractions. It will also turn off automatically as long as it has a solar panel at the top of the calculator. This is one of the calculators used by the GMS math department. Cost: $100 - $120 Cost- $15 Cost- $17 Cost- $25 Provided Additional Resources (Optional) Holt: Geometry (2004 Edition) The textbook provided to your child is the standard MCPS textbook. It is the Holt Geometry textbook (2008 edition). One textbook will be issued at no cost to each student by GMS math department. Algebra To Go Algebra To Go is a great resource to guide students through complicated tasks. The text is kid friendly and easy to read. It closely matches our IM and Algebra curriculums. ISBN #: Cost: $25 Note: All costs are approximate. Geometry To Go Geometry To Go has kid friendly text that guides students through complicated tasks. It is a great resource for the Algebra 1 curriculum and will also be helpful for high school geometry. ISBN #: Cost: $25 Honors Geometry Page 3 Summer, 2013

4 Geometry and Algebra Formulas- Part 1 Honors Geometry Page 4 Summer, 2013

5 Geometry and Algebra Formulas- Part 2 Honors Geometry Page 5 Summer, 2013

6 Part I: Slope of a Line Directions: Determine the slope of the line that passes through each pair of points. Be sure to show all your work for each problem. See page 4 for any needed formulas. 1. (5, 4) and (3, 7) 2. (1, 6) and (-6, 3) 3. ( -1 / 2, 3) and ( -3 / 2, -4) 4. (3, -7) and (0, 5) 5. x-intercept of -4 and y-intercept of x-intercept of 3 and y-intercept of (-3,5) and y-intercept of (2,-6) and a y-intercept of 5 Honors Geometry Page 6 Summer, 2013

7 Part 2: Equation of a Line Directions: Determine the equation for each line. Be sure to show all your work for each problem. See page 4 for any needed formulas. 1. The line with a slope of 5 and contains the point (3, 4) 2. The line that contains the points (0, 5) and (5, 0) 3. The line that is parallel to the line y = -3x + 4 and contains the point (-3, 1) Honors Geometry Page 7 Summer, 2013

8 Part 3: Solving Equations Directions: Solve for x in each equation. Be sure to show all your work for each problem. 1. 4x 8 = (6x 8) (5x + 9) = x 8x + 4 = 5x (x 2) = (x + 2) 2(x + 4) = 7 x x x x 5 x Honors Geometry Page 8 Summer, 2013

9 Part 3: Solving Equations (continued) Directions: Solve for x in each equation. Be sure to show all your work for each problem g = b = x + 1 = 3x y y 13. 6x (y 5) = 18 2y 14. x 3 5 f = -5p b = Honors Geometry Page 9 Summer, 2013

10 Part 4: Area and Perimeter (continued) Directions: Determine the area and perimeter. Be sure to show all your work for each problem. See page 4 for any needed formulas. 1. Rectangle with length = 2.4 cm and width = 3.6 cm. Area Perimeter 2. Square with side length = 5 mm. Area Perimeter 3. Circle with a radius of 20 centimeters. Area Circumference 4. Parallelogram with lengths of 11 yards, height of 7 yards and sides of 5 yards. Area Perimeter Honors Geometry Page 10 Summer, 2013

11 Part 4: Area and Perimeter Directions: Determine the area and perimeter. Be sure to show all your work for each problem. See page 4 for any needed formulas. 5. Rectangular room with width of feet and length feet Area Perimeter 6. Circle with a radius of 1.5 feet Area Circumference 7. Rectangle with width of inches and length 4 feet Area Perimeter 8. Trapezoid with bases of 6 and 14, a height of 9, and sides of 8. Area Perimeter Honors Geometry Page 11 Summer, 2013

12 Part 5: Geometry & Algebra Review Directions: Use the following information to determine answers to the questions below. Be sure to show all your work for each problem. See page 4 for any needed formulas. 1. Determine the MIDPOINT of a line segment with endpoints (4, 0) and (-2, 7). 2. Determine the DISTANCE between two points A(5, 6) and B(-3, 2). 3. Determine the AREA and CIRCUMFERENCE of a circle with radius = 6mm. Honors Geometry Page 12 Summer, 2013

13 Part 5: Geometry & Algebra Review (continued) Directions: Use the following information to determine answers to the questions below. Be sure to show all your work for each problem. See page 4 for any needed formulas. 4. Determine the AREA and CIRCUMFERENCE of a circle with diameter = 11 cm. 5. Determine the DIAMETER and CIRCUMFERENCE of a circle with AREA = 64 in Determine the HYPOTENUSE and AREA of a right triangle with legs = 5 cm and 12 cm. 7. Determine the HYPOTENUSE & AREA of a right triangle with legs equal to 5 & 10 mm. Honors Geometry Page 13 Summer, 2013

14 Part 6: Measuring Angles Directions: Find the measures of the missing angles. Be sure to show all your work in the space below. See page 4 for any needed formulas. 1. Line m is parallel to line n. Find the measure of each numbered angle. m<1 = m<2 = m<3 = m<4 = m<5 = m<6 = m n 2. Solve for x and find the measure of each of the four angles. x = m<1 = m<2 = m<3 = m<4 = (x+25) x (x+15) (x+20) 4 Honors Geometry Page 14 Summer, 2013

15 Part 6: Measuring Angles (continued) Directions: Find the measures of the missing angles. Be sure to show all your work in the space below. See page 4 for any needed formulas. a) m<aod = b) m<aob = c) m<sqr = d) m<p= e) m<xzy = f) m< ZYX = g) m<x = h) m<jnm = i) m<nlm = j) m< NLK = k) m<fog = l) m<goh = m) m<eof = n) m<uvw = o) m<vwu = p) m<uwt = Honors Geometry Page 15 Summer, 2013

16 Part 7: Surface Area and Volume Directions: Use the following information to determine the SURFACE AREA and VOLUME. Be sure to show all your work in the space below mm 4 mm 3 mm 2x 8x x mm 8 mm 6 mm 0.5 mm Honors Geometry Page 16 Summer, 2013

17 Part 7: Surface Area and Volume Directions: Use the following information to determine the SURFACE AREA and VOLUME. Be sure to show all your work in the space below Honors Geometry Page 17 Summer, 2013

18 Part 8: Factoring Quadratic Functions Directions: Factor and/or solve the following. Be sure to show all your work in the space below. x² - 9x = p² - 26p 4k² + 2k - 12 x² + 84 = 20x a² - 9a r² - 25r + 6 5x² + 3x = 2 x² - 8x 20 = 0 k² - 27kj 90j² Honors Geometry Page 18 Summer, 2013

19 Honors Geometry Page 19 Summer, 2013

2016 Geometry Honors Summer Packet

Name: 2016 Geometry Honors Summer Packet This packet is due the first day of school. It will be graded for completion and effort shown. There will be an assessment on these concepts the first week of school.