Grade 7 Math STAAR 2013 Number, operation, and quantitative reasoning. The student represents and uses numbers in a variety of equivalent forms. The student is expected to SE TEKS Question Stems 7.1A compare and order integers and positive 26 Which list of numbers is in order from greatest to least? rational numbers; Supporting Standard 7.1B convert between fractions, decimals, 18 How is 8% percent written as a decimal? whole numbers, and percents mentally, on paper, [or with a 35 Which number is equivalent to the values in the box? calculator]; and Readiness Standard 48 Which two values are both equivalent to 240%? 7.1C represent squares and square roots 30 The model below has an area of 16 square units. Which using geometric models. expression represents the side length of the model in units? Supporting Standard Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to SE TEKS Question Stems 7.2A represent multiplication and division situations involving fractions and decimals with models, including [concrete objects,] pictures, words, and numbers; Supporting Standard 7.2B use addition, subtraction, multiplication, 16 How much change should Mr. Stein receive if he gives the and division to solve problems involving cashier $20.00 and 2.25 pounds of meat costs $2.80 per pound? fractions and decimals; Readiness Standard 24 Given vertices of (−15,), (−41,), and (,−36), which grid represents the result of reflecting the triangle across the x-axis? 37 How many inches did Scot grow if he was 63 3/8 inches tall in 7th grade and 65 ¼ inches tall in eighth grade? 7.2C 7.2D 7.2E use models, such as [concrete objects,] pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms; Supporting Standard use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio; Supporting Standard simplify numerical expressions involving order of operations and exponents; Supporting Standard 23 What is the value of the expression shown below? Grade 7 Math STAAR 2013 7.2F select and use appropriate operations to solve problems and justify the selections; and Readiness Standard 25 Given Jackie completed 2/5 of 65 puzzles and she completes 13 more puzzles, what is the total number of puzzles that she will have completed in the book? 33 Which method can be used to determine the total number of words in the ad Mr. Grant placed if there is a one-time fee of $6.00 plus $0.08 per word? 51 Use the information given to determine how many quarts of Oceanside Blue Mr. Jenkins bought. 7.2G determine the reasonableness of a solution to a problem. Supporting Standard 45 Use the information given to determine a reasonable estimate of the total amount of money the math team will need for the 2-daytrip. Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships. The student is expected to SE TEKS Question Stems 7.3A estimate and find solutions to 9 Given 250 sheep in a flock, 34% are white. What is the total application problems involving percent; number of white sheep in the flock? and Readiness Standard 20 Given 40 people made 3 cakes each 15% of these cakes were chocolate, how many chocolate cakes were made for the bake sale? 40 Given Carrie missed 9.6% of the problems on a 125 problem test, which of the following is the best estimate of the number of problems Carrie missed? 7.3B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units. Readiness Standard 13 At a rate of 3 cups of strawberries to 1 ½ cups of yogurt, how much yogurt should be used if 2 cups of strawberries are used? 38 At a rate of 6 hot dogs for $6.72, how much would 8 hot dogs cost, in dollars and cents? 53. How many gallons are equivalent to 72 pints? Patterns, relationships, and algebraic thinking. The student represents a relationship in numerical, geometric, verbal, and symbolic form. The student is expected to SE TEKS Question Stems 7.4A generate formulas involving unit 43 Which equation can be used to determine A, the area of the conversions within the same system unshaded part of the figure in square inches? (customary and metric), perimeter, area, circumference, volume, and scaling; Supporting Standard 7.4B graph data to demonstrate relationships 31 Using a scale in which 0.25 inch represents 2 feet, which Grade 7 Math STAAR 2013 in familiar concepts such as conversions, graph shows this relationship? perimeter, area, circumference, volume, and scaling; and Supporting Standard 7.4C use words and symbols to describe the 7 Which arithmetic sequence is represented by the expression relationship between the terms in an 31n + 1, where n represents the position of a term in the arithmetic sequence (with a constant sequence? rate of change) and their positions in the sequence. Supporting Standard Patterns, relationships, and algebraic thinking. The student uses equations to solve problems. The student is expected to SE TEKS Question Stems 7.5A use [concrete and] pictorial models to 29 If the model represents x + 4 =4x + 2, what value of x makes solve equations and use symbols to the equation true? record the actions; and Supporting Standard 7.5B formulate problem situations when 2 Which equation can be used to find w, the weight of given a simple equation and formulate Carmen’s pet rabbit? an equation when given a problem situation. Readiness Standard 15 Which equation can be used to find q, the number of additional quarters Ashton needs in order to have enough money for the car wash? 47 Which situation is best represented by the equation 3x = 288? Geometry and spatial reasoning. The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties. The student is expected to SE TEKS Question Stems 7.6A use angle measurements to classify pairs 44 What is the measure, in degrees, of the angle that is of angles as complementary or complementary to <W is 37°? supplementary; Supporting Standard 7.6B use properties to classify triangles and quadrilaterals; Supporting Standard 7.6C use properties to classify threedimensional figures, including pyramids, cones, prisms, and cylinders; and Supporting Standard use critical attributes to define similarity. Readiness Standard 7.6D 39 Using the list determine which statement describes the characteristic that the figures have in common. 3 Which line segment corresponds to AC for the similar triangles? 41 Which statement must be true for triangle QRS and triangle WXY if they are similar? Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. The student is Grade 7 Math STAAR 2013 expected to SE TEKS 7.7A locate and name points on a coordinate plane using ordered pairs of integers; and Supporting Standard 7.7B graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane. Readiness Standard Question Stems 1 Using the given grid, which ordered pair represents a point on Verlonda’s route? 12 Triangle EFG is shown on the grid below. If triangle EFG is reflected across the y-axis to form triangle E’F’G’, which ordered pair represents the coordinates of F’? 24 Given a triangle has the vertices of (−15,), (−41,), and (,−36), which grid represents the result of reflecting the triangle across the x-axis? 52 Which of the following shows the figure TUVW translated 3 units up and 2 units to the right to form the image T’U’V’W’? Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to SE TEKS Question Stems 7.8A sketch three-dimensional figures when 54 Given a diagram, which three-dimensional figure is given the top, side, and front views; represented by these views? Supporting Standard 7.8B make a net (two-dimensional model) of 19 Which net can be folded to form a hexagonal prism? the surface area of a three-dimensional figure; and Supporting Standard 7.8C use geometric concepts and properties to solve problems in fields such as art and architecture. Supporting Standard Measurement. The student solves application problems involving estimation and measurement. The student is expected to SE TEKS Question Stems 7.9A estimate measurements and solve 10 Given a diagram, which of these is closest to the total area application problems involving length covered by the blade when the turbine makes 1 revolution? (including perimeter and circumference) and area of polygons and other shapes; 22 Which of the following is closest to the area of the shaded Readiness Standard rectangles of the figure when measured to the nearest centimeter? 42 Which of these is closest to the circumference of the coin when the diameter is measured to the nearest tenth of a centimeter? Grade 7 Math STAAR 2013 7.9B connect models for volume of prisms (triangular and rectangular) and cylinders to formulas of prisms (triangular and rectangular) and cylinders; and Supporting Standard 28 Using the formula for the volume of a triangular prism determine which equation can be used to find B, the area of the shaded base in square centimeters? 49 Which equation can be used to find B, the area of this cylinder’s base in square centimeters when an object has a height of 9 centimeters and a diameter of 6.5 centimeters? 7.9C estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders. Readiness Standard 4 Given a storage trunk is a rectangular prism and it has the volume of 18 cubic feet, the length of 6 feet, and the width of 2 feet, what is the height of this trunk? 17 Which of the following is the best estimate of the volume of the display case in cubic inches? 36 Which of these is the best estimate of the volume of a water dispenser if a cylindrical water dispenser has a radius of 7 inches and a height of 20 inches? Probability and statistics. The student recognizes that a physical or mathematical model (including geometric) can be used to describe the experimental and theoretical probability of real-life events. The student is expected to SE TEKS Question Stems 7.10A construct sample spaces for simple or 34 Which list shows all the possible outcomes of 2 different composite experiments; and Supporting side dishes from this list? Standard 7.10B find the probability of independent 14 Given a regular number cube, what is the probability that events. Supporting Standard the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up? Probability and statistics. The student understands that the way a set of data is displayed influences its interpretation. The student is expected to SE TEKS Question Stems 7.11A select and use an appropriate 11 Which Venn diagram best represents the pet survey results? representation for presenting and displaying relationships among collected data, including line plot, line graph, bar graph, stem and leaf plot, circle graph, and Venn diagrams, and justify the selection; and Supporting Standard 7.11B make inferences and convincing 6 Given the number of minutes Melissa ran each day during arguments based on an analysis of given three weeks, which statement is best supported by the data in or collected data. Readiness Standard the table? Grade 7 Math STAAR 2013 27 Which statement is best supported by the information in the graph? 46 Which statement is best supported by the information in the graph? Probability and statistics. The student uses measures of central tendency and variability to describe a set of data. The student is expected to SE TEKS Question Stems 7.12A describe a set of data using mean, 32 Given a table of data, what is the mean number of cotton median, mode, and range; and bales imported from these countries, in thousands? Supporting Standard 7.12B choose among mean, median, mode, or 8 Given a list of data, which two measures of these data best range to describe a set of data and describe the typical number of minutes Addison spent reading justify the choice for a particular each day? situation. Readiness Standard 21 Given a list of data, determine the measure of data that best describes how much these bowling scores varied? 50 Given, Monica recorded the high temperature each day for one week, which measure of data should Monica report? Underlying processes and mathematical tools. The student applies Grade 7 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to SE TEKS Question Stems 7.13A identify and apply mathematics to 3 Application of everyday life and increased rigor: everyday experiences, to activities in Corresponding line segments of similar triangles and outside of school, with other disciplines, and with other mathematical 6 Application of society and increased rigor: Total number of topics; minutes ran for training 8 Application of everyday life and increased rigor: More than one measure of central tendency given a data set 13 Application of everyday life and increased rigor: Cooking with whole numbers and mixed fractions 14 Application of everyday life and increased rigor: Probability with two number cubes 16 Application of society and increased rigor: Making change when buying products Grade 7 Math STAAR 2013 25 Application of society and increased rigor: A fractional number of pounds of food divided into containers 37 Application of everyday life and increased rigor: Difference in fractional amounts of height over time 38 Application of everyday life and increased rigor: Rate of cost versus hot dogs 53 Application of everyday life and increased rigor: Equivalent customary measurements 7.13B use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness; 9 Given a total and percentage determine the number for the percentage using the four-step process 10 Given a diagram determine total area covered using the four-step process 17 Given a diagram determine the best estimate of volume in cubic inches using the four-step process 20 Given a scenario determine how many chocolate cakes were made using the four-step process 40 Given a scenario determine the best estimate of problems missed on a test using the four-step process 45 Given a scenario determine the total amount of money needed for a 2-day trip using the four-step process 7.13C 7.13D select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem; and select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems. 34 Find a strategy to determine all possible outcomes of a given scenario 36 Find a strategy to determine the volume of a cylindrical dispenser given the measurements 1 Select the appropriate tool or technique to determine which ordered air represents a given point on a route Grade 7 Math STAAR 2013 12 Select the appropriate tool or technique to determine which ordered pair is correct for a reflected triangle across the y-axis 22 Select the appropriate tool (such as a ruler) or technique to determine the area of the shaded rectangles of a given figure 24 Select the appropriate tool or technique to determine which grid represents a reflected triangle across the x-axis given a triangles order pair for each vertex 42 Select the appropriate tool (such as a ruler) or technique to determine the circumference of a given coin 52 Select the appropriate tool or technique determine which grid is translated a given amount from the original Underlying processes and mathematical tools. The student communicates about Grade 7 mathematics through informal and mathematical language, representations, and models. The student is expected to SE TEKS Question Stems 7.14A communicate mathematical ideas using 7 Use reasoning and the implications of mathematical ideas and language, efficient tools, appropriate reasoning: Utilizing the given expression to determine the units, and graphical, numerical, physical, correct arithmetic sequence or algebraic mathematical models. 21 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given scores to determine the best measure of central tendency 28 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given pictorial model and information determine the appropriate volume equation using centimeters 29 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given equation and model determine the value of x to make the equation true 30 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given model determine the expression that represents the side length in units 31 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given scale of inches to feet determine the corresponding graph Grade 7 Math STAAR 2013 33 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given information determine the appropriate method for finding the total 43 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given diagram determine which equation can be used to find the area of the unshaded part of the figure in square inches 49 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given diagram determine the equation for the volume of a cylinder in centimeters 54 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given pictorial models of top, front, and right-side views determine which three-dimensional figure is represented Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to SE TEKS Question Stems make conjectures from patterns or sets of 39 Analyze relationships and form connections through the use 7.15A examples and non-examples; and of finding common characteristic of 3-Dimensional figures 7.15B validate his/her conclusions using mathematical properties and relationships. 3 Using mathematical ideas and arguments, validate corresponding line segments for similar triangular figures 5 Using mathematical ideas and arguments, validate the total number of puzzles completed with the process for solving given a total of 65 puzzles where 2/5 of the puzzles plus 13 more puzzles have been completed 27 Using mathematical ideas and arguments, validate the best supporting statement for a given graph 41 Using mathematical ideas and arguments, validate which statement is true given a pictorial model of similar triangles 46 Using mathematical ideas and arguments, validate which statement is best supported by a given graph 50 Using mathematical ideas and arguments, validate the chosen measure of central tendency given a set of information 51 Using mathematical ideas and arguments, validate number of quarts of paint and show the solution when given information and a pricing table