TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM

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1 7 th Grade Math TAKS-STAAR-STAAR-M Comparison Spacing has been deleted and graphics minimized to fit table. (1) Number, operation, and quantitative reasoning. The student represents and uses numbers in a variety of equivalent forms. The student is expected to: (B) convert between fractions, decimals, whole numbers, and percents mentally, on paper, or with a calculator; 1 The names of 5 students and their scores on their last science test are shown in the table below. 1 Of the 50 people at a library, 18% are reading a book. Which fraction represents 18%? A 1/18 B 9/50 C 9/25 D 1/25 1 The names of three students and their scores on their last science test are shown in the table below. Which students each earned a score above 85%? A Gretchen, Héctor, and Isabella B Héctor and Isabella C Isabella and Katy D Gretchen, Héctor, and Jocelyn Which student earned a score of 92%? A Gretchen B Héctor C Isabella

2 (2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to: (B) use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals 10 Samantha is using a wooden strip 7/8 yard long to make a picture frame. If she cuts off a piece that is ¾ yard long, which fraction best represents the portion that is left of the original strip? F 13/8 yd G 1 yd H ¼ yd J 1/8 yd 2 Mr. Franklin asked each of his 30 students to select their favorite radio station. of the students chose Station K. of the students chose Station L. The remaining students chose Station M. How many students chose Station M as their favorite radio station? F 10 G 14 H 6 J 4 2 Mr. Franklin asked each of his 30 students to select their favorite radio station. 1/3 of the students chose Station K. The remaining students chose Station M. How many students chose Station M as their favorite radio station? A 10 B 20 C 27 (2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to (D) use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio. SUPPORTING TEKS 19 Gina purchased 3 paintbrushes for $18.87, not including tax. If each paintbrush cost the same amount, what was the cost in dollars and cents for each paintbrush, not including tax? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value A generator can run for 11 hours on 3 gallons of gasoline. If the gasoline costs $3 per gallon, which is closest to the cost per hour to run the generator? A $9.00 B $33.00 C $0.82 D $ A generator can run for 10 hours on 4 gallons of gasoline. If the gasoline costs $3 per gallon, which of these is closest to the cost per hour to run the generator? A $12.00 B $1.20 C $0.83

3 (3) Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships. The student is expected to: (B) estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units 2 A customer bought 5.5 pounds of tomatoes from a local produce store. How many ounces of tomatoes did the customer buy? A 80 B 88 C 96 D Not here 4 A 24,000-gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill this pool full? F 450 min G 560 min H 600 min J 150 min 4 A 24,000-gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill this pool ½ full? A 300 minutes B 560 minutes C 600 minutes (5) Patterns, relationships, and algebraic thinking. The student uses equations to solve problems. The student is expected to: (B) formulate problem situations when given a simple equation and formulate an equation when given a problem situation 8 Karen is k years old. Raul s age, r, is 6 more than 2 times Karen s age. Which of the following equations best represents this situation? F r = (6 + 2)k G k = 2r + 6 H r = 2k + 6 J k = (6 + 2)r 5 Which situation is best represented by the equation below? 3x = 27 A The total cost of a dinner and tip was $27. If a $3 tip was included in the total cost, what is x, the cost of the dinner? B The total cost of a dinner and dessert was $27. The cost of the dinner was 3 times the cost of the dessert. What is x, the cost of the dessert? C Three friends went to dinner, and each paid $27. What is x, the total amount they spent o dinner? D Three friends went to dinner and paid a total of $27. If they divided the bill evenly, what is x, the amount each friend paid? 5 Which situation is best represented by the equation below? A The total cost of a dinner and tip was $27. If a $3 tip was included in the total cost, what is x, the cost of the dinner? B Three friends went to dinner, and each paid $27. What is x, the total amount they spent on dinner? C Three friends went to dinner and paid a total of $27. If they divided the bill evenly, what is x, the amount each friend paid?

4 (6) Geometry and spatial reasoning. The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties. The student is expected to: (B) use properties to classify triangles and quadrilaterals SUPPORTING TEKS 1 Camille s math teacher described a quadrilateral with 2 pairs of parallel sides and 4 lines of symmetry. Which of these quadrilaterals must have the characteristics that Camille s math teacher described? A Trapezoid B Square C Rhombus D Parallelogram 6 A triangle has 2 angles that each measure 45. Which of the following best describes this triangle? F Right scalene G Right isosceles H Equilateral J Obtuse isosceles 6 A triangle has 2 angles that each measure 45. Which of these describes this triangle? A Right scalene B Right isosceles C Equilateral (6) Geometry and spatial reasoning. The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties. The student is expected to: (D) use critical attributes to define similarity 32 In the diagram below, figure KLMN is similar to figure WXYZ. 7 Which of the following statements is true? A All trapezoids are similar. B All isosceles triangles are similar. C All equilateral triangles are similar. D All rectangles are similar. 7 Which statement is true? A All isosceles triangles are similar. B All equilateral triangles are similar. C All rectangles are similar. Which of the following proportions can be used to find the value of n? J

5 (7) Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. The student is expected to: (B) graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane 2 A right triangle is shown on the coordinate plane below. 8 Triangle LMN is shown on the coordinate grid below. 8 Line segment LM is shown on the coordinate grid below. If the triangle is translated 11 units to the left and 2 units up, which of the following best represents the coordinates of one of its vertices? A ( 6, 5) B ( 6, 3) C (5, 5) D (5, 3) If triangle LMN is reflected across the y-axis, which of the following best represents a vertex of the resulting triangle? F (2, 6) G ( 9, 7) H ( 7, 2) J ( 2, 6) If line segment LM is reflected across the y-axis, which of these best represents the reflection of point M? A (2, 6) B ( 7, 2) C ( 2, 6)

6 (9) Measurement. The student solves application problems involving estimation and measurement. The student is expected to:(a) estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes 1 Lillian drew a floor plan of her rectangular bedroom and bathroom, as shown below. 9 The side view of a sail on a boat is shown below. The base of the sail is 22 feet long, and the area of the sail is 165 square feet. 9 The side view of a sail on a boat is shown below. The base of the sail is 22 feet long, and the area of the sail is 165 square feet. What is the total area of her bedroom and bathroom? A 240 ft 2 B 228 ft 2 C 216 ft 2 D 168 ft 2 What is x, the height of the sail? A 7.5 feet B 15 feet C 11 feet D 30 feet What is x, the height of the sail? A 15 feet B 11 feet C 30 feet

7 (9) Measurement. The student solves application problems involving estimation and measurement. The student is expected to (B) connect models for volume of prisms (triangular and rectangular) and cylinders to formulas of prisms (triangular and rectangular) and cylinders SUPPORTING TEKS 23 A company developed a box in the shape of a triangular prism, as shown below. 10 A cylindrical pan has the dimensions shown below. 10 A pan in the shape of a cylinder has the dimension shown below. A formula for the volume of a triangular prism is V = Bh. Which expression can be used to find B, the area of the base of this prism in square centimeters? A ( )( ) B (6)(4)(9) C ( )( ) D (6)(5)(9) A formula for the volume of a cylinder is V = Bh.Which equation best represents B, the area of the base of this pan in square inches? F G H J A formula for the volume of a cylinder is V =Bh.Which equation best represents B, the area of the circular base of this pan in square inches? A B =π(4) 2 B B =π(8) 2 C B =2π(8)

8 (9) Measurement. The student solves application problems involving estimation and measurement. The student is expected to (C) estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders 2 Mr. Muñoz drew a box in the shape of a rectangular prism, as shown below. What is the volume of the box? A 6 in. 3 B 3 in. 3 C 40 in. 3 D 11 in A DVD player is in the shape of a rectangular prism. It has a length of 17 inches, a width of 10.2 inches, and a height of 2 inches. What is the volume of the DVD player in cubic inches? Record A on the front of your answer document. Then, on the BACK of your answer document record your answer and fill in the bubbles in section Griddable C on problem number 1. Be sure to use the correct place value A DVD player is in the shape of a rectangular prism. It has a length of 17 inches, a width of 10 inches, and a height of 2 inches. What is the volume of the DVD player in cubic inches? You may practice recording your answer in the grid below. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 340

9 (11) Probability and statistics. The student understands that the way a set of data is displayed influences its interpretation. The student is expected to: (B) make inferences and convincing arguments based on an analysis of given or collected data 44 A computer-lab assistant recorded the number of students that used the lab each day for 4 days. The table below shows the results. 12 Marcie and Leah are playing a game by rolling two number cubes with faces numbered 1 through 6. Marcie gets a point when the sum of the two numbers faceup on the cubes is an even number, and Leah gets a point when the sum of the two numbers is greater than 7. The table below shows all possible sums for the two numbers faceup on the cubes. Which statement is best supported by the data in the table? F The number of students who used the lab on Wednesday and Thursday combined was more than half the total number of students who used the lab. G There were more students who used the lab on Wednesday than students who used the lab on Monday and Thursday combined. H The number of students who used the lab on Tuesday was twice the number of students who used the lab on Monday. J There were fewer students who used the lab on Tuesday than students who used the lab on Monday and Thursday combined. Which girl is most likely to get a point on the first roll? F G H No STAAR-M Released Item J

10 (12) Probability and statistics. The student uses measures of central tendency and variability to describe a set of data. The student is expected to: (B) choose among mean, median, mode, or range to describe a set of data and justify the choice for a particular situation 2 The number of minutes that Lisa studied for her math test on each of 5 days is shown below. 15, 25, 30, 15, 20 Which measure of data would produce the greatest number of minutes? A Mean B Median C Mode D Range 13 The ABC Trucking Company keeps records of the weekly distances driven by each of its drivers. The distances driven by Cheryl during the last 4 weeks are shown in the table. Which measure of the data would NOT be a good predictor of the number of miles that Cheryl may drive next week? A Mean B Median C Mode D Range No STAAR-M Released Item

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