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Slide 2 1 A 5-foot-tall person casts an 8-foot shadow. If a vertical pole that supports a basketball hoop is 12 feet high, how long is its shadow? A. 7.5 feet B. 15 feet C. 19.2 feet D. 25 feet Slide 3 Item Information: Correct Answer: C Strand: Number Sense Learning Target: Demonstrate an understanding of the concepts of ratio and direct and inverse proportion Slide 4 2 Manuel stopped at the grocery store on his way home from school. He bought a loaf of bread for $1.89, a gallon of milk for $2.19, and a bag of pretzels for $1.09. Manuel also noticed that his favorite apples were on sale for $0.79 per pound. If each apple weighed about 10 ounces and Manuels total bill was approximately $10 altogether, how many apples did he buy? (16 ounces = 1 pound) A. 3 B. 6 C. 10 D. 12 Slide 5 Item Information: Correct Answer: C Strand: Measurement Learning Target: Measure objects and events directly and use indirect methods; calculate rate and other derived and indirect measurements. Slide 6 3 If the height of a cylindrical storage tank is 11 m and the radius is 10 m, what would be its volume? ( 3.14) A. 314 m3 B. 691 m3 C. 1,100 m3 D. 3,454 m3 Slide 7 Item Information: Correct Answer: D Strand: Measurement Learning Target: Measure objects and events directly and use indirect methods; calculate rate and other derived and indirect measurements. Slide 8 4 In parallelogram PQRS, the measures of angle P and angle R are each 146. What is the measure of angle Q? A. 146 B. 112 C. 68 D. 34 THM 6.5: The consecutive interior angles of a parallelogram are supplementary. Angle 1 + Angle 2 = 180. 12 Slide 9 Item Information: Correct Answer: D Strand: Geometric Sense Learning Target: Use geometric properties and relationships to compare, contrast, describe, and classify 2- and 3-dimensional geometric figures, draw geometric models and scale drawings using tools as appropriate Slide 10 5 If the figure below were reflected over the y-axis, what would be the new coordinates of point D? A. (6, 2) B. (-6,-2) C. (2, 6) D. (-2, 6) Reflect Slide 11 Item Information: Correct Answer: B Strand: Geometric Sense Learning Target: Demonstrate an understanding of and apply multiple geometric transformations using combinations of translations, reflections, and/or rotations Slide 12 6 Akio and Tamera are playing a game with two number cubes, each labeled 16. On each turn, the person rolls both number cubes. The sum of the two numbers on top of the number cubes tells how many spaces that person can move the game piece. Akio needs to move nine spaces to win the game. What is the probability that Akio will roll a sum of at least nine on his next turn? Tree Slide 13 Problem Slide 14 6 Akio and Tamera are playing a game with two number cubes, each labeled 16. On each turn, the person rolls both number cubes. The sum of the two numbers on top of the number cubes tells how many spaces that person can move the game piece. Akio needs to move nine spaces to win the game. What is the probability that Akio will roll a sum of at least nine on his next turn? Slide 15 Item Information: Correct Answer: C Strand: Probability and Statistics Learning Target: Demonstrate an understanding of the properties of dependent and independent events; understand and use appropriate counting procedures to determine probabilities; use both experimental and theoretical methods to determine probabilities Slide 16 7 The parents library committee printed 350 books of 24 raffle tickets. After all the tickets are sold, they plan to draw 30 winning tickets. Phil bought 5 tickets. Which of these is closest to the probability that he will win? A. B. C. D. Slide 17 Correct Answer: B Strand: Probability and Statistics Learning Target: Demonstrate an understanding of the properties of dependent and independent events; understand and use appropriate counting procedures to determine probabilities; use both experimental and theoretical methods to determine probabilities Slide 18 8 Find the rule for the table below. Slide 19 Correct Answer: B Strand: Algebraic Sense Learning Target: Translate among tabular, symbolic, and graphical representations of relations, represents situations that involve variable quantities with expressions, formulas, equations, and inequalities Slide 20 9 Suki needs to translate the following bar graph into a circle graph. WORK Slide 21 BAR GRAPHQUESTION Slide 22 What should be the measure of the angle of the section for espresso? Circle Graph Slide 23 Correct Answer: C Strand: Makes Connections Learning Target: Relate and use conceptual and procedural understandings among a variety of mathematical content strands; relate and use equivalent mathematical models and representations Slide 24 10 Study the pattern shown in the following table. What would be the value of s when r equals 10? Show your work. What is the value of s when r equals 10? ________ Slide 25 Score points: 2 (see pages 2225 for examples of each score point) Strand: Algebraic Sense Learning Target: Recognize, create, and extend complex patterns and sequences; generalize and express rules for patterns Slide 26 11 The average (mean) weight of three members of a bobsled team is 161 lb. When the weight of the driver (the fourth member) is added, the average weight of the team becomes 165.5 lb. You want to find out how much the driver weighs. Is enough information given to find the drivers weight? If so, find the weight. If not, identify the missing information. RESPONSE Slide 27 Yes, there was enough information to find the drivers weight Slide 28 Score points: 2 (see pages 2629 for examples of each score point) Strand: Solves Problems and Reasons Logically Learning Target: Define problems by identifying the question(s) to be answered (that which is unknown and to be made known through problem solution) and by identifying the known information, missing information, and/or extraneous information Slide 29 12 Homeowners want to replace some old wooden steps with concrete steps. They make the following drawings and bring them to your construction company. They want an estimate of the total cost. Slide 30 You explain that a wooden form is built for each step, and concrete is then poured into the form. Concrete is delivered in cubic yards. The bottom step is completed first, then the middle, and then the top. You show them the drawing and the price list below. Delivered ready-mixed concrete..............$40/cu yd 8 in. wide wooden forms with 1 in. thick boards. ....$1.50/ft Surfacing the concrete. ...$0.50/sq ft (putting smooth surface on step areas) Slide 31 Score points: 4 (see pages 3034 for examples of each score point) Strand: Communicates Understanding Learning Target: Clearly organize, represent, and express mathematical information, understandings, and ideas in ways appropriate for the given audience and purpose Slide 32 13. Audrey is given the following problem to solve. Audrey has to solve for a and b. Which of the following is not possible? Slide 33 Correct Answer: C Strand: Number Sense Learning Target: NS02: Demonstrate an understanding of the properties of rational numbers, powers, and roots; demonstrate an understanding of concepts and processes involving prime and composite numbers, factors and multiples, and divisibility (Mathematics EALR 1.1.1, 1.1.3) Slide 34 14. Which term is a factor of 3a 12a? Slide 35 Correct Answer: A Strand: Number Sense Learning Target: NS02: Demonstrate an understanding of the properties of rational numbers, powers, and roots; demonstrate an understanding of concepts and processes involving prime and composite numbers, factors and multiples, and divisibility (Mathematics EALR 1.1.1, 1.1.3) Slide 36 15. Grand Coulee Dam is made of about 10,585,000 cubic yards of concrete. Which of the following would give the total amount of concrete in cubic feet? Slide 37 Correct Answer: A Strand: Measurement Learning Target: ME02: Measure objects and events directly and use indirect methods; calculate rate and other derived and indirect measurements (Mathematics EALR 1.2.2, 1.2.3) Slide 38 16 Terry is designing a flyer to advertise storage boxes that he sells. He wants to show the boxes from least to greatest volume. What is the correct order? Slide 39 Correct Answer: D Strand: Measurement Learning Target: ME02: Measure objects and events directly and use indirect methods; calculate rate and other derived and indirect measurements (Mathematics EALR 1.2.2, 1.2.3) Slide 40 Which of the following statements is true? 17 Each letter in the diagram below represents an angle. Slide 41 Correct Answer: C Strand: Geometric Sense Learning Target: GS01: Use geometric properties and relationships to describe, compare, contrast, and classify 2- and 3-dimensional geometric figures; draw geometric models and scale drawings using tools as appropriate (Mathematics EALR 1.3.1, 1.3.2) Slide 42 18 In a certain carnival game, a player gets to spin each of the following spinners once. What is the probability of getting two numbers that have a sum of 7? Slide 43 Correct Answer: B Strand: Probability and Statistics Learning Target: PS01: Demonstrate an understanding of the properties of dependent and independent events; demonstrate an understanding of and use appropriate counting procedures to determine probabilities; use both experimental and theoretical methods to determine probabilities (Mathematics EALR 1.4.1, 1.4.2, 1.4.3) Slide 44 19 Kesha is planning to rent a van for her trip to Mt. Rainier. Two of her friends each rented the same type of van from the same car rental company last week. This is what they told her: John: The cost of my rental was $240. The company charged me a certain amount per day and a certain amount per mile. I had the rental for five days and I drove it 200 miles. Katie: The cost of my rental was only $100. I drove it for 100 miles and had it for two days. Kesha plans to get the same type of van that John and Katie had from the same car rental company. Kesha estimated her trip would be 250 miles, and she would have the vehicle for four days. Which of the following equations could Kesha use to figure out how much her rental would cost? Let C = cost, M = miles, and D = days Slide 45 Correct Answer: B Strand: Algebraic Sense Learning Target: AS03: Simplify and evaluate expressions and formulas; solve equations and inequalities (Mathematics EALR 1.5.5,1.5.6) Slide 46 The city has agreed to allow the school to expand the playground on the remaining two sides to replace the lost area. Find the approximate width of the strip that will be added to each of the two sides. 20 The school playground, a 36 m square, is going to lose part of one corner due to construction. The city will take a triangular section that measures 12 m and 12 m on the perpendicular sides. Slide 47 Score points: 2 Strand: Measurement Learning Target: ME03: Demonstrate an understanding of how precision and accuracy of measurement are affected by calculating procedures; know when to estimate and use estimation to obtain reasonable approximations (Mathematics EALR 1.2.4, 1.2.5) Slide 48 21 Mrs. Andrews is supervising an independent study course. Each of the students is required to complete 20 assignments. The list below shows how many assignments each student has completed. Use the grid to create a bar graph that shows the percentage of assignments completed by each student. Clearly label and scale the axes. GRID Slide 49 PROBLEM Slide 50 Score points: 2 Strand: Probability and Statistics Learning Target: PS03: Organize and display data in appropriate forms; calculate and use different measures of central tendency, variability, and range as appropriate to describe a set of data; use statistics to support different points of view (Mathematics EALR 1.4.5, 1.4.6, 1.4.7) Slide 51 22 The following table shows the relationship between some Fahrenheit temperatures and their Celsius equivalents. Use this information to draw a line graph that shows Fahrenheit temperature on one axis and Celsius temperature on the other. Be sure your graph has the following: title scale labels axis labels GRAPH Slide 52 PROBLEM Slide 53 Score points: 2 Strand: Communicates Understanding Learning Target: CU02: Clearly organize, represent, and express mathematical information, situations, and ideas in ways appropriate for the given audience and purpose (Mathematics EALR 4.2.1, 4.3.1, 4.3.2) Slide 54 23 The next slide shows information about three groups over a 28-year periodthe number of licensed drivers, the number of registered vehicles, and the resident population of a certain area. Below, briefly describe the changes that took place for one group during the entire time period shown. Name the group. Describe the changes using numbers and years in your description. GRAPH Slide 55 Describe one way that any two of the groups changed in relation to one another during a particular period of time. Name the two groups. Give the time period you are considering. Describe how the two groups changed in relation to one another during that particular time period. GRAPH Slide 56 PROBLEM 1 PROBLEM 2 Slide 57 Score points: 4 Strand: Communicates Understanding Learning Target: CU01: Develop or select a plan for collecting information; extract mathematical information from multiple sources (Mathematics EALR 4.1.1, 4.1.2) Slide 58 24 Look at the chart below. Which planet has the largest mass? Slide 59 Correct Response: C Tools: No Strand: Number Sense Learning Target: NS01: (Number and Numeration) Demonstrate an understanding of and use the symbolic representations of rational numbers, percents, powers, and roots; compare and order rational numbers, percents, powers, and roots (Mathematics EALR 1.1.1, 1.1.2) Slide 60 25 Which of the following statements always describes a trapezoid? Slide 61 Correct Response: A Tools: Yes Strand: Geometric Sense Learning Target: GS01: (Properties and Relationships) Use geometric properties and relationships to describe, compare, contrast, and classify 2- and 3- dimensional geometric figures; draw geometric models and scale drawings using tools as appropriate (Mathematics EALR 1.3.1,1.3.2) Slide 62 If the figure were translated so that point C moved to the origin, and point D moved to the x-axis, what would be the coordinates of point A? 26 Look at the figure on the grid below. Slide 63 Slide 64 Correct Response: D Tools: No Strand: Geometric Sense Learning Target: GS04: (Transformations) Demonstrate an understanding of and apply multiple geometric transformations using combinations of translations, reflections, and/or rotations (Mathematics EALR 1.3.6) Slide 65 27 Anita and Ajay play a game of chess. The probability that Anita will win is 48%, and the probability that Ajay will win is 42%. What is the probability that this game will end in a stalemate (tie)? Slide 66 Correct Response: B Tools: No Strand: Probability and Statistics Learning Target: PS01: (Probability) Demonstrate an understanding of and use the properties of dependent and independent events; demonstrate an understanding of and use appropriate counting procedures and calculations to determine probabilities; use both experimental and theoretical methods to determine probabilities and compare results (Mathematics EALR 1.4.1, 1.4.2, 1.4.3) Slide 67 28 Jeremiah is doing an experiment in his math class. He flips four pennies in the air. What is most likely to happen? Slide 68 Slide 69 Correct Response: A Tools: No Strand: Probability and Statistics Learning Target: PS01: (Probability) Demonstrate an understanding of and use the properties of dependent and independent events; demonstrate an understanding of and use appropriate counting procedures and calculations to determine probabilities; use both experimental and theoretical methods to determine probabilities and compare results (Mathematics EALR 1.4.1, 1.4.2, 1.4.3) Slide 70 29 The graph shows the approximate amount of precipitation that fell in Dalton each month during 1996. What was the median amount of monthly precipitation in Dalton during 1996? Slide 71 Correct Response: B Tools: No Strand: Probability and Statistics Learning Target: PS03: (Data Organization and Analysis) Organize and display data in appropriate forms; calculate and use different measures of central tendency, range, and average deviation as appropriate to describe a set of data (Mathematics EALR 1.4.5, 1.4.6) Slide 72 Correct Response: B Tools: Yes Strand: Algebraic Sense Learning Target: AS02: (Symbols and Notations) Translate among tabular, symbolic, and graphical representations of relations using both equality and inequality; write expressions, equations, and inequalities to represent situations that involve variable quantities (Mathematics EALR 1.5.3,1.5.4) 30 Slide 73 8 A company is making shoe boxes from cardboard. The cardboard is 20 inches in length and 16 inches in width. The company is going to cut square pieces off each corner as shown in the diagram below and fold the sides up. What would be the formula for the volume of the box in terms of x? 31 Slide 74 Correct Response: A Tools: Yes Strand: Making Connections Learning Target: MC01: (Connections within Mathematics) Use concepts and procedures from multiple mathematics content strands in a given problem or situation; relate and use multiple equivalent mathematical models and representations (Mathematics EALR 5.1.1, 5.1.2) Slide 75 32 Luis wants to put carpet in the triangular showroom shown below. He knows the width of the room is 3 feet more than the length of the room. If the length of the room is 21 feet, how many square feet of carpet does he need? Slide 76 Correct Response: B Tools: No Strand: Making Connections Learning Target: MC01: (Connections within Mathematics) Use concepts and procedures from multiple mathematics content strands in a given problem or situation; relate and use multiple equivalent mathematical models and representations (Mathematics EALR 5.1.1, 5.1.2) Slide 77 33 Naomi and Dana did the following computation. Naomis answer was 55. Danas answer was 151. Which students answer was correct? Describe the other students error. Slide 78 Score Points: 2 Tools: No Strand: Number Sense Learning Target: NS03: (Conceptual Understanding of Operations) Demonstrate an understanding of operations on rational numbers, powers, and roots (Mathematics EALR 1.1.5) Slide 79 34 Caprice drives to work 5 days a week. In the morning, she takes a 10-mile route. In the afternoon, she takes a 12-mile route home to avoid traffic. Caprices car gets 20 miles to the gallon. How many gallons of gasoline will Caprice use each week driving to and from work? Explain or show how you found your answer. Slide 80 Score Points: 2 Tools: Yes Strand: Measurement Learning Target: ME02: (Measuring and Calculating) Measure directly and indirectly and use measurements to describe and compare objects and events; calculate rate and other derived and indirect measurements and determine units (Mathematics EALR 1.2.2, 1.2.3) Slide 81 35 The Acme Recycling Company has three salary options for its part-time summer employees. The total money earned is related to the amount of cans recycled and an optional hourly wage. Option 1: 25 a can plus $1.00 an hour Option 2: 5 a can plus $5.00 an hour Option 3: 40 a can and no hourly wage Jamal sits down and writes an equation for each salary option to see what he could make per hour. Slide 82 Jamal estimates that he can recycle a minimum of 20 cans per hour. Based on these equations and Jamals estimate, which option will allow Jamal to make the most money? Clearly show your work to support your answer. Slide 83 Score Points: 2 Tools: No Strand: Algebraic Sense Learning Target: AS03: (Evaluating and Solving) Simplify and evaluate expressions and formulas; solve equations, inequalities, and systems of equations (Mathematics EALR 1.5.5,1.5.6) Slide 84 36 A team has won 10 of the 15 games it has played. The team has 25 games left to play. The players figure they will make the playoffs if their winning percentage for the season is 60%. How many of the remaining games must the team win to have a winning percentage of 60% for the season? Clearly show how you arrived at your answer. Slide 85 Score Points: 2 Tools: No Strand: Solves Problems and Reasons Logically Learning Target: SR03: (Construct Solutions) Organize and synthesize information from multiple sources, use viable strategies, and appropriate concepts, procedures, and tools to construct solutions (Mathematics EALR 2.3.1, 2.3.2, 2.3.3) Slide 86 37 In the isosceles triangle shown below, AB =AC. What is the value of x? Clearly show your work. Slide 87 Score Points: 2 Tools: Yes Strand: Making Connections Learning Target: MC01: (Connections within Mathematics) Use concepts and procedures from multiple mathematics content strands in a given problem or situation; relate and use multiple equivalent mathematical models and representations (Mathematics EALR 5.1.1, 5.1.2) Slide 88 Dan, +10 Tom, +15 Miguel, +10 Srey, +5 Kendra @ 7:00 Dan @ 6:20,Tom @ 6:30,Miguel @ 6:45,Srey @ 6:55,Kendra @ 7:00 Solution 38 Barbara invited five friends over to her home. All her friends liked her new calculator and wanted to borrow it. After everyone left, Barbara realized she needed the calculator to finish her homework. She could not remember to whom she had loaned it. She remembered the following: She last saw the calculator at 6:40 P.M. Miguel left 15 minutes after Tom. Tom left 30 minutes before Kendra. Kendra left 5 minutes after Srey. Dan left 25 minutes before Miguel. The last person left at 7:00 P.M. List the order and times in which people left. Whom should Barbara call, based on your analysis of the information? Explain your reasoning using words, numbers, and/or diagrams. Slide 89 Dan @6:20,Tom @6:30,Miguel @6:45,Srey @6:55,Kendra @ 7:00 Problem 7:00 6:50 6:30 6:20 6:40 Slide 90 Score Points: 4 Tools: No Strand: Solves Problems and Reasons Logically Learning Target: SR02: (Analyze) Compare, contrast, interpret, and integrate information from multiple sources (Mathematics EALR 3.1.1, 3.1.2) Slide 91 Problem