Southern Maryland Christian Academy Summer Math Assignment Options Objectives: Retention of math skills learned from previous school year. Students will be practicing math skills so that retention is maintained over the summer. Because each year builds upon the previous year s math skills, it is important that students have a solid foundation moving forward. To assist with this, SMCA requires that all students spend time over the summer completing an online mission on khanacademy.org or complete a summer math packet. Due Date: 2nd day of Math Class Assessment: Count as one test grade. Student must complete one option below in its entirety. Student may not start one option and then finish with the other option. Requirements: This summer there are two options for all students entering 6 th -AP Calculus. SMCA strongly recommends Option 1. Option 1: Khan Academy Summer Program Students are expected to spend at least 1,000 minutes AND 50% of the course mission. However; in order to prepare for success next year, students are highly encouraged to complete at least 90% of the course mission. Students that choose the Khan Academy summer math assignments will be completing math modules through khanacademy.org. Students can expect to spend on average a minimum of 30 minutes per week on modules. As students complete the course, they have opportunities to earn Badges. Badges will be tallied at the beginning of the school year and the top 5 students per course with the greatest number of badges will earn 5 homework passes as a reward. Grading for the Khan Academy will be calculated by the completion percentage of the mission and it will count as one test grade. Option 2: Summer Math Packet Students must complete all problems on the summer math packet. Students who choose the math packet will complete a paper packet that must be printed from SMCA s website. Students can expect to complete at least one page of the packet three times each week. Remember, it s not about just checking it off and getting it done it s about doing quality review that will help you hit the ground running in your next math course. Students must show all work on separate sheets of paper. Answers need to written beside each question. Grading for the Summer Math Packet will be calculated by the number of correct answers out of number of problems and it will be counted as one test grade. Calculator Use: Calculators may only be used for students entering Pre-Calculus and Calculus. New SMCA Students: New SMCA students who enroll after August 1, 2018 will have until the end of the first quarter to complete 50 % of the Khan Academy summer math assignments or the entire math packet. Option 1 and 2 Keep Reading 1
Southern Maryland Christian Academy Khan Academy Instructions Entering Algebra 2 OPTION 1 How to join your Khan Academy class. 1. Sign up at khanacademy.org New to Khan: Sign-Up - Upper right side of screen click sign-up o Click sign-up with email o Create Account Use student s real name for username this will be the name that helps the teacher know who to give credit to at the end of the summer. Parents may use their own email account if student does not have an email account. Returning: Sign-In if you already have an account 2. Click on Name in the upper right hand corner 2
3. Click on Profile 4. Click on Coaches tab 5. In the Add a coach field, enter the class code: 3XXFVD5K Add your Parent if parent would like to monitor progress of student. Open the Coach s Name menu at the top right and click Add students or Add Children to get started! Click Join the Class 6. Now click on name in the upper right hand corner 3
7. Click Notifications 8. You re set! Click Start this Mission 9. Complete the Mission Warm-Up 10. After completion of Mission Warm-Up, Khan Academy will generate assignments based on individual s needs. 11. A new window will appear with some statistics regarding the pre-test. a. Review the statistics. Then press the green bar at the bottom of the window to close it. 12. You are now ready to earn points and badges while completing summer math assignments! Remember: Students are expected to complete 90% of the course mission. The completion percentage of the mission will be translated into a TEST GRADE for Quarter One. Option 2 Keep Reading 4
Southern Maryland Christian Academy Summer Math Packet Entering Algebra 2 OPTION 2 Excellent websites for fun learning and reinforcement of math skills: If, after completing this packet, you are still struggling with a specific topic, you can visit some of the websites listed on the next page for assistance with that topic. www.khanacademy.com - Learn almost anything for free. With a library of over 3,000 videos covering everything from arithmetic to physics, finance, and history and 306 practice exercises, we're on a mission to help you learn what you want, when you want, at your own pace. www.classzone.com Curriculum used at Southern Maryland Christian Academy Grades 6-12 www.wildmath.com Select Play the game. Select addition, subtraction or multiplication and grade. You can race to beat your time. www.harcourtschool.com Click the red box, select math, select HSPMath, select Maryland, click on the skill you need help with. Select a game. www.aplusmath.com Go under Flashcards or Game Room on the left side of the screen. They can practice adding, subtracting and multiplying. Very important to know the addition, subtraction, and multiplication facts from memorization or within a couple seconds. www.mathisfun.com Select numbers then Math Trainer for adding, subtracting and multiplication. Or at the home screen select games and pick a game to play. www.eduplace.com Select your state Michigan press submit. Select the student tab then click on the mathematics rectangle. Click in the center book Houghton Mifflin Math 2007, Click on Grade #. Select any games. Extra Help and Extra Practice is good, also egames. www.illuminations.nctm.org Select activities then select grade level. Click on Search. www.aaamath.com At the top pick grade for a challenge. Choose any of the activities like multiplication then select play option toward the top of the screen. 20 Questions and Countdown games are good ones. www.funbrain.com Lots of fun games to choose from. 5
Southern Maryland Christian Academy Summer Math Packet Entering Algebra 2 OPTION 2 Part 1: Complete all the problems. Show all your work on a separate sheet of paper. Write final answers on the lines provided. Multiple Choice Identify the choice that best completes the statement or answers the question. Write the prime factorization of the number. 1. 264 Write all of the factors of the number. 2. 153 a. 1, 3, 17, 51 c. 1, 153 b. 1, 3, 9, 17, 51, 153 d. 1, 3, 17 Find the greatest common factor of the numbers. 3. 56, 64 a. 2 c. 8 b. 112 d. 5 Write the prime factorization of the numbers. Then find their LCM. 4. 24, 63 Write the fraction or mixed number as a decimal. 5. a. 2.66667 c. 3.08 b. 0.375 d. 0.83 Use a percent proportion. 6. What is of 94? a. 291.4 c. 292.34 b. 2923.4 d. 29.14 6
7. 217 is what percent of 620? a. 29% c. 0.35% b. 3.5% d. 35% Write the decimal or fraction as a percent. 8. a. none of these c. 0.00875% b. 87.5% d. 0.024375% 9. 0.399 a. 3.99% c. 39.9% b. 0.0399% d. 0.399% Simplify: 10. Simplify: 11. 12. Simplify Simplify the expression using positive exponents. 13. 7
Simplify the expression using positive exponents. 14. 15. 16. The equation is graphed below. Which graph shows the result of changing the 3 in the equation to 8
17. Solve: = 32 a. 28 c. 27 b. 37 d. 36 Solve: 18. = 16 a. 64 c. 4 b. 4 d. 64 Solve: 19. 6x + 4 = 64 a. 68 c. 60 b. 9 d. 10 Solve: 20. a. 22 c. 21 b. 21 d. 22 Solve the inequality. Then graph its solution. 21. a. b. 10 5 0 5 10 c. 10 5 0 5 10 d. 10 5 0 5 10 10 5 0 5 10 9
Solve and graph: 22. a. b. 0 2 4 6 8 10 c. 0 2 4 6 8 10 d. 0 2 4 6 8 10 0 2 4 6 8 10 Solve and graph the inequality: 23. a. b. c. d. Find the product. 24. 10
25. 26. Find the product and simplify. Find the perimeter and area of the rectangle or square. 27. a. b. c. d. Find the circumference of the circle. 28. a. 18.84 in. c. 75.36 in. b. 452.16 in. d. 37.68 in. 11
Find the sum. 29. Simplify: 30. Find the difference. 31. 32. Find the product: 33. 34. What is the value of the expression for and? a. b. c. d. 35. The formula gives the kinetic energy of an object in terms of its mass and velocity. What is the equation for? a. b. c. d. 12
36. What is the solution of the inequality? a. or b. or c. or d. or 37. What is the solution of the linear system? a. b. c. d. Solve the proportion. 38. 39. a. 3 c. 23.5 b. 25.5 d. 25.35 a. 8 c. 5 b. 10 d. 14 Write the phrase as an expression. Let x represent the number. 40. 12 increased by a number b. none of these d. Match the expression with its simplified expression. 41. Simplify the expression by combining like terms. 42. 13
43. 44. Name the point at (8, 6). H 10 y G 10 10 x E 10 F a. H c. G b. F d. E Find the value of x. Classify the triangle by its angles. 45. a. 70; right b. 110; obtuse c. 58; right d. 52; obtuse Find the unknown length. Round to the nearest tenth, if necessary. 46. a. 20.0 in. b. 14.4 in. c. 7.2 in. d. 17.2 in. 14
Complete the statement with <, >, or =. 47. 48. a. < b. = c. > a. > b. < c. = Write the numbers in order from least to greatest. 49. 50. 120, 140 a. 4 b. 168 c. 840 d. 20 51. 44, 40, 28 a. 20 b. 12 c. 4 d. 40 Find the greatest common factor of the numbers. List the first few multiples of each number. Then use the list to find the LCM of the numbers. 52. 12, 21 a. multiples of 12: 1, 3, 4, 12 multiples of 21: 1, 3, 7, 21 3 b. multiples of 12: 12, 24, 36, 48, 60, 72, 84 multiples of 21: 21, 42, 63, 84 84 c. multiples of 12: 24, 36, 48, 60, 72, 84 multiples of 21: 42, 63, 84 84 d. multiples of 12: 3, 4 multiples of 21: 3, 7 3 15
Find the sum or difference. 53. 9 7 6 9 13 13 2 11 13 3 11 13 2 10 13 3 10 13 54. a. 1 c. 8 b. 7 d. 48 3 7 3 16 55. Find the product. 2 1 5 2 a. 1 c. 5 b. 4 d. 5 1 1 4 5 Find the quotient. 56. 2 3 5 b. 5 d. 13 2 5 8 3 8 16
Find the mean, median, mode(s), and range of the data. 57. 16, 22, 14, 12, 20, 19, 14, 11 a. mean: 16 median: 16 mode: 14 range: 5 b. mean: 16 median: 14 mode:15 range: 11 c. mean: 16 median: 15 mode: 14 range: 11 d. mean: 16 median: 16 mode: 14 range: 11 Short Answer Evaluate. 58. when y = 3 and x = 5. 59. 60. 61. 62. 63. xy y 2 when y = 3 and x = 5. 64. when x = 5 65. 11 when x = 16 17
66. Graph the function with the domain x = 0, 1, 2, 3, 4, and 5. y 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 x 1 2 3 4 5 67. Graph the equation. Tell which method you used. y 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 x 1 2 3 4 5 Write an equation of the line that passes through the given point and has the given slope. Write the equation in slope-intercept form. 68. (1, 8), m = 4 Graph the line that passes through the points. Then write an equation of the line in slope-intercept form. 18
69. ( 2, 8), ( 1, 0) y 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 x 1 2 3 4 5 Sketch the graph of the inequality. 70. y 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 x 1 2 3 4 5 Use the substitution method to solve the linear system. 71. Solve the linear system using linear combination (elimination). 72. Graph the system of linear inequalities. 19
73. y 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 x 1 2 3 4 5 Find the product. 74. Solve. 75. 76. 77. 78. Decide whether the statement is true or false. 79. After an 6% increase in your wages, you receive $.57 more per hour. About how much did you receive per hour before the increase in your wages? 80. Decide whether the graphs of the two equations are parallel lines. y = 0.5x 4 x 2y = 4 81. Evaluate the function when x = 3, x = 0, and x = 4. 82. Write an equation of a line that is perpendicular to y = 3x 5 and passes through ( 6, 0). 20
83. Solve the inequality. Graph the solution on a number line. 5 4 3 2 1 Determine whether the given lengths can be the sides of a right triangle. 84. 12, 35, 37 0 1 2 3 4 5 85. What number is 80% of 70? 86. What percent of 16 is 4? Use a percent proportion. 87. 4853 is what percent of 1150? 88. Evaluate the expression. 89. Simplify the expression. Write your answer using exponents.. 90. Graph the function and label as exponential growth or decay. y 5 5 5 x 5 Solve 21
91.. Solve: 92. Solve: 93. Solve the equation: 94. Solve the equation: 95. 96. Solve and graph: 0 2 4 6 8 10 Find the perimeter and area of the rectangle or square. 97. 22
Part 2: Complete all problems. Show work on a separate sheet of paper neatly and highlight your final answers. Write all final answers in the space provided underneath each problem. Graph each of the following functions or inequalities. Neatly draw and label the axes. Show any work necessary to produce the graph. y = 2 x + 3 5x 2y = 10 3 y > 3x 1 Graphing the System: 3x + 4y = 12 6x + 3y = 24 23
Graph these functions. State the domain and range of each. y = x 2 + 2 y = (x + 2) 2 y = x y = 1 x 24
Write an equation of the line with a slope of 1 3 that passes through the point (-6, 2) Write an equation of the line that passes through the points (5, -7) and (1, -3) Write an equation of the line that passes through (1, 4) and is perpendicular to the line y = 3x + 1 Write an equation of the line that passes through (5, -2) and is parallel to the line 2x 3y = 6 25
Geometry Review: Parallel Lines cut by a Transversal For each diagram below, L M. Find the value of x. 3x M M l 65 (4x + 5) l (2x + 15) 75 M l (3x + 5) Write a proof for the following. Given: M L and 1 2 Prove: 2 3 M l 1 2 3 26
The legs of a right triangle measure 4 in and 6 in. Find the length of the hypotenuse in simplest radical form. Find the sine, cosine and tangent of the angle θ in each triangle below. (Recall SOH-CAH-TOA) 8 6 12 θ 10 θ The angle of elevation to the top of the Ulm cathedral from a point 300 ft away from the base of its steeple on level ground is 60º. Find the height of the steeple to the nearest hundredth of a foot. (hint: draw the diagram) Find the perimeter and area of a rectangle whose length is 5cm and whose width is 6cm Find the circumference and area of a circle whose radius is 12 inches. Leave your answer in terms of π. 27
Acute an angle with a measure between 0 and 90 degrees Arc a portion of the circumference of a circle Bisect divide into two equal parts Circumference the distance around a circle Complementary two angles whose measures total 90 degrees Congruent equal; same measure Equiangular all angles having the same measure Equilateral all sides having the same measure Hypotenuse the side opposite the right angle in a right triangle Isosceles triangle a triangle with two congruent sides Linear pair two adjacent supplementary angles Obtuse an angle with a measure between 90 and 180 degrees Perpendicular two lines or segments that intersect to form a right angle Right triangle a triangle with a 90 degree angle Scalene triangle a triangle with no congruent sides Similar same proportions; not necessarily equal Supplementary two angles whose measures total 180 degrees 28
Factor these polynomials. x 3 8 = y 3 + 27 = x 2 7x + 12 = 2x 2 + x -15 = t 2 t 6 = Factor by grouping: x 3 2x 2 3x + 6 = x 3 + x 2 5x 5 = 2x 2 + 5x 3 = 29