TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM

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1 6 th Grade Math TAKS-STAAR-STAAR-M Comparison Spacing has been deleted and graphics reduced to fit table. (2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, and divides to solve problems and justify solutions. The student is expected to: (B) use addition and subtraction to solve problems involving fractions and decimals; TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM 2 John and Eva live in the same town. Each of them uses a rain gauge to measure rainfall. The drawing below shows the amount of rain in each rain gauge after a rainstorm. 2 Emmett is inches tall. Rolando is inches shorter than Emmett. How tall is Rolando? 1 Emmett is inches tall. Rolando is inches shorter than Emmett. How tall is Rolando? Which of the following best represents the difference between the amount of rain in John s rain gauge and the amount in Eva s rain gauge? A 1/12 in. B 4/5 in. C 1/6 in. D 19/12 in F G H J F G H

2 (2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, and divides to solve problems and justify solutions. The student is expected to: (B) use addition and subtraction to solve problems involving fractions and decimals; TAKS 2010 (2010 WAS THE ONLY RELEASED STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM EXAMPLE OF 2.B USING FRACTIONS.) 2 John and Eva live in the same town. Each of them uses a rain gauge to measure rainfall. The drawing below shows the amount of rain in each rain gauge after a rainstorm. 3 Melanie is going to read a 219-page book. She reads at a rate of 20 pages per day. Based on this information, which of the following statements is a reasonable conclusion? A She will have read less than ½ of the book after 5 days. B She will have read more than 1/3 of the book after 3 days. C She will have read more than 138 pages after 4 days. D She will have read fewer than 110 pages after 6 days. 2 Melanie is reading a book. She reads 20 pages each day. Based on this information, which statement is a reasonable conclusion? A She will have read fewer than 110 pages after 5 days. B She will have read more than 110 pages after 4 days. C She will have read fewer than 110 pages after 6 days. Which of the following best represents the difference between the amount of rain in John s rain gauge and the amount in Eva s rain gauge? A 1/12 in. B 4/5 in. C 1/6 in. D 19/12 in. (3) Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships. The student is expected to:(c) use ratios to make predictions in proportional situations. 40 A candy company advertises that 3 out of 24 of its chocolate candy bars contain a prize. Based on this information, how many chocolate candy bars out of 120 should contain a prize? F 15 G 24 H 27 J 29 4 At the last school pep rally, 3 out of every 7 students wore school colors. Based on this information, if 350 students attend the next pep rally, how many of these students will wear school colors? A150 B 50 C 200 D Not here 3 At the last school pep rally, 3 out of every 7 students wore school colors. Based on this information, if 350 students attend the next pep rally, how many of these students will wear school colors? A 150 B 50 C 200

3 (4) Patterns, relationships, and algebraic thinking. The student uses letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes. The student is expected to:(a) use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area; 35 Karla is using nails to build birdhouses. The table below shows n, the number of nails she used to build b, different numbers of birdhouses. 5 Coach Pérez prepared the table below to show how the income earned by a soccer league changes depending on the number of teams in the league. 4 Coach Pérez made the table below to show how the amount of money earned by a soccer league changes depending on the number of teams in the league. If Karla keeps following this pattern, which of the following expressions can she use to find n, the number of nails it will take to build b birdhouses? A b 11 B 11b C b + 11 D b/11 Which expression could be used to find l, the income the soccer league would earn if it had steams? A 715s B s+2,145 C 1,430s D s+2,860 Which expression could be used to find d, the amount of money, in dollars, the soccer league would earn if it had n teams? A800n B n +2,400 C n +3,200

4 (5) Patterns, relationships, and algebraic thinking. The student uses letters to represent an unknown in an equation. The student is expected to formulate equations from problem situations described by linear relationships. 12 Rosanne took a total of 2 hours to write 30 party invitations. Which of the following equations can be used to find m, the number of minutes Rosanne took to write 1 invitation? F (60 30) 2 = m G (60 30) + 2 = m H (60 2) 30 = m J (60 2) 30 = m 6 Sherman read 154 pages of a book in 4 days. He read 32 pages on each of the first 2 days and y pages on the third day. Which equation can be used to find p, the number of pages Sherman read on the fourth day? A p = (2 y) B p = 154 (32 2) - y C p = 154-2(32 + y) D p = 154 (y 2) Sherman read an entire book in 3 days. The book has a total of 154 pages. He read y pages per day on the first 2 days. Which equation can be used to find p, the number of pages Sherman read on the third day? A p = 154 (3 y) B p = 154 (2 y) C p = (2 y) (6) Geometry and spatial reasoning. The student uses geometric vocabulary to describe angles, polygons, and circles. The student is expected to:(c) describe the relationship between radius, diameter, and circumference of a circle 28 A circular puzzle has a circumference of about 50 inches. Which expression can be used to find the approximate radius of the puzzle? F 50 π G 50 (2π) H 50 (2π) J 50 π 8 The circumference of a circular garden is 32 feet. Which of the following expressions best represents the radius of the garden? A 32/π B 32 π C 32/2π D 32 2π 6 The circumference of a garden in the shape of a circle is 32 feet. Which expression best represents the radius of the garden? A 32/π B 32/2π C 32 2π

5 (7) Geometry and spatial reasoning. The student uses coordinate geometry to identify location in two dimensions. The student is expected to locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers, SUPPORTING TEKS 46 Look at the grid below. 9 There are 3 vertices of rectangle WSRZ plotted on the coordinate grid below. The fourth vertex of the rectangle will be represented by point Z. 7 There are 3 vertices of rectangle WSRZ plotted on the coordinate grid below. The fourth vertex of the rectangle will be represented by point Z. Which of the following ordered pairs best represents the location of point T? A ( ) B ( ) C ( ) D ( ) Which of the following ordered pairs best represents point Z? A ( ) B ( ) C ( ) D ( ) Which of the following ordered pairs best represents point Z? A ( ) B ( ) C ( )

6 (8) Measurement. The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and angles. The student is expected to: (B) select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight 8 The picture below is a scale drawing of a rectangular bulletin board. Use the ruler on the Mathematics Chart to measure the dimensions of the scale drawing to the nearest inch. 10 The figure below represents the floor of a building. Use the ruler provided to measure the dimensions of the figure to the nearest ½ inch. 8 The figure below represents the floor of a building. Use the ruler provided to measure the dimensions of the figure to the nearest inch. Which of the following is closest to the perimeter in feet of the actual bulletin board? F 32 ft G 76 ft H 16 ft J 48 ft Which is closest to the perimeter in feet of the floor of the actual building? A160 ft B 8 ft C 7 ft D 140 ft Which measurement is closest to the perimeter in feet of the floor of the actual building? A 160 feet B 6 feet C 80 feet

7 (8) Measurement. The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and angles. The student is expected to:(d) convert measures within the same measurement system (customary and metric) based on relationships between units SUPPORTING TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM 3 The chamois, an animal similar to a goat, lives in mountainous areas of Europe and Asia. It can jump up to 6.5 feet high and distances of up to 19.5 feet. How many inches is 6.5 feet? A 60 in. B 21 in. C 26 in. D 78 in. 11 Mrs. Wallace wants to buy gallons of sour cream for a recipe. If sour cream is sold only in 1-pint containers, how many containers will she need to buy? A 6 B 8 C 12 D 16 9 Mrs. Wallace wants to buy 4 ½ quarts of sour cream for a recipe. Sour cream is sold in 1-pint containers. 1 quart = 2 pints How many pints will she need to buy? A 10 B 9 C 8 (9) Probability and statistics. The student uses experimental and theoretical probability to make predictions. The student is expected to:(b) find the probabilities of a simple event and its complement and describe the relationship between the two. SUPPORTING TEKS TAKS STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM 1 Claudia spins the spinner shown below. What is the probability of Claudia spinning a number greater than four on this spinner? A 1/3 B 1/6 C 2/3 D 1/2 12 Roberto has 17 games in his room. He has 6 board games, and the rest are video games. If Roberto selects a game at random, which expression represents the probability that the game he selects will be a video game? F G H J 10 Roberto has 17 games in his room. He has 6 board games, and the rest are video games. If Roberto selects a game at random, what is the probability that the game he selects will be a video game? A 23/17 B 6/11 C 11/17