8th Grade Math STAAR 2013 Number, operation, and quantitative reasoning. The student understands that different forms of numbers are appropriate for different situations. The student is expected to SE TEKS Question Stems 8.1 A compare and order rational numbers in 8 Which numbers from this list (of positive and negative various forms including integers, fractions, decimals and percents) are less than−09.4? percents, and positive and negative fractions and decimals; Readiness Standard 30 Given a positive fractions and percents in a scenario, which of the following lists the students in order from least to greatest? 56 Given positive and negative decimal numbers in a table, which list shows the numbers in the table from greatest to least? 8.1 B select and use appropriate forms of 4 Given a mixture scenario with fractions and mixed numbers, rational numbers to solve real-life which proportion can she use to determine how many cups she problems including those involving will need? proportional relationships; Supporting Standard 8.1 C approximate (mentally [and with calculators]) the value of irrational numbers as they arise from problem situations (such as π, 2); Supporting Standard 8.1 D express numbers in 36 Given two distances in scientific notation, how much farther scientific notation, is Mars from the sun than Earth? including negative exponents, in appropriate problem situations. Supporting Standard Number, operation, and quantitative reasoning. The student selects and uses appropriate operations to solve problems and justify solutions. The student is expected to SE 8.2 A 8.2 B TEKS select appropriate operations to solve problems involving rational numbers and justify the selections; Supporting Standard use appropriate operations to solve problems involving rational numbers in problem situations; Readiness Standard Question Stems 17 Given a distance, time and speed, evaluate the validity and justify with an operation? 15 Given two prices and quantities, multiply and add to find what was the total cost, in dollars and cents? 27 Given a beginning total and fractional amounts multiply and subtract, how many tickets ? 8th Grade Math STAAR 2013 43 Given a total length in feet divide by inches and find how much will be left after cutting as many of these lengths as possible? 8.2 C evaluate a solution for reasonableness; Supporting Standard 8.2 D use multiplication by a given constant factor (including unit rate) to represent and solve problems involving proportional relationships including conversions between measurement systems. Supporting Standard 22 Given a range of values and a percent, which of the following is a reasonable estimate of the amount of money spent during the next 3 weeks? 52 Given prices per game, at this rate, which expression can be used to determine the charge for renting 9 video games for 1 day? Patterns, relationships, and algebraic thinking. The student identifies proportional or non-proportional linear relationships in problem situations and solves problems. The student is expected to SE TEKS Question Stems 8.3 A compare and contrast proportional and 21 Given pounds and price, which of the following is NOT an non-proportional linear relationships; equivalent price per pound? Supporting Standard 47 Given hours and amount, which of the following is an equivalent rate? 8.3 B estimate and find solutions to 12 Use multiplication and multiplication by a percent to find application problems involving percents which of the following is closest to the number ? and other proportional relationships such as similarity and rates Readiness Standard 34 Given a number per unit area and dimensions of a rectangle, determine which of the following is closest to the number of expected in this rectangular area? 45 Given a number and cost, determine at this rate, how much would 60 cost, in dollars and cents? Patterns, relationships, and algebraic thinking. The student makes connections among various representations of a numerical relationship. The student is expected to SE TEKS Question Stems 8.4 A generate a different representation of 18 Given an equation and scenario, which of the following data given another representation of graphs best represents this situation? data (such as a table, graph, equation, or 8th Grade Math STAAR 2013 verbal description) Readiness Standard 26 Given a scenario and equation, which table shows only values that satisfy this equation? 35 Which equation best describes a relationship between x and y in the table below? 51 Given a starting amount and rate, which equation represents the relationship between y, and x ? Patterns, relationships, and algebraic thinking. The student uses graphs, tables, and algebraic representations to make predictions and solve problems. The student is expected to SE TEKS Question Stems 8.5 A predict, find, and justify solutions to 1 Based on (a discrete) graph, what will be the(predicted) application problems using appropriate amount? tables, graphs, and algebraic equations; Readiness Standard 24 Given a scenario, equation and output, find the input? 49 Given a circle graph with percents and 90 (represent one section), what was the total number of tickets sold? 53 Based on the data in the table, what would be the output given an input? 8.5 B find and evaluate an algebraic 5 Given a rule, which of the following sequences of numbers expression to determine any term in an could this expression describe? arithmetic sequence (with a constant rate of change) Supporting Standard Geometry and spatial reasoning. The student uses transformational geometry to develop spatial sense. The student is expected to SE TEKS Question Stems 8.6 A generate similar figures using dilations 9 Given a side length (mixed number) and scale factor (fraction) including enlargements and reductions; What is the side length of the new square? Readiness Standard 8th Grade Math STAAR 2013 32 Given a figure with some dimensions and a scale factor, find what are the measurements of x and y on the smaller? 55 Given dimensions of a rectangle and scale factor (decimals), find which figure represents the new rectangle? 8.6 B graph dilations, reflections, and 25 Which graph represents the reflection of this figure a cross translations on a coordinate plane the x-axis? Supporting Standard Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to SE TEKS Question Stems 8.7 A draw three-dimensional figures from 3 Given a perspective image of a figure, which of these could be different perspectives; the right-side view of this figure? Supporting Standard 8.7 B use geometric concepts and properties 40 Given a figure of a pentagon with sum and congruency to solve problems in fields such as art relationships, determine what is the measure of <Q? and architecture; Supporting Standard 8.7 C use pictures or models to demonstrate 48 Which group of three squares will form a right triangle when the Pythagorean Theorem; and joined at their vertices? Supporting Standard 8.7 D locate and name points on a coordinate 14 Which points on the coordinate grid below satisfy the plane using ordered pairs of rational conditions x > -3 ½ and y < 1 4/5? numbers Supporting Standard Measurement. The student uses procedures to determine measures of three-dimensional figures. The student is expected to SE TEKS Question Stems 8.8 A find lateral and total surface area of 28 Use the ruler provided to measure the dimensions of the net prisms, pyramids, and cylinders using to the nearest ¼ inch. Which of the following is closets to the [concrete] models and nets (twolateral surface area of the pyramid? dimensional models); Supporting Standard 8.8 B connect models of prisms, cylinders, pyramids, spheres, and cones to formulas for volume of these objects; Supporting Standard 8.8 C estimate measurements and use 11 Given the dimensions of a rectangular prism, which of the formulas to solve application problems following is closest to the total surface area? involving lateral and total surface area and volume 8th Grade Math STAAR 2013 Readiness Standard 33 Given one cylinder inside another, which of the following is closest to the maximum amount the smaller can contain in the position shown? 41 Which of the following is the best estimate of the volume of this cone? Measurement. The student uses indirect measurement to solve problems. The student is expected to SE TEKS Question Stems 8.9 A use the Pythagorean Theorem to solve 7 Given a diagram, which of the following is closest to the value real-life problems of the hypotenuse? Readiness Standard 23 Given a diagram, which of the following is closest to the length of the leg? 39 Given a diagram, what is the actual distance, in yards, across the hypotenuse? 54 Given a diagram, what is the value of x, the leg 8.9 B use proportional relationships in similar two-dimensional figures or similar threedimensional figures to find missing measurements Readiness Standard 2 Given a diagram of two similar triangles, what is the length of XZ? 37 Given a diagram of two similar triangular prisms, what is the value of x, the height of the larger prism? 44 Given a diagram of two similar parallelograms, what is the length of YZ? Measurement. The student describes how changes in dimensions affect linear, area, and volume measures. The student is expected to SE TEKS Question Stems 8.10 A describe the resulting 46 Given a regular pentagon (no dimensions) and a fractional effects on perimeter and scale factor, which of the following statements is true (about area when dimensions of a the perminter) shape are changed proportionally; Supporting Standard 8.10 B describe the resulting effect on volume 19 Given a fractional scale factor, how does the volume of the when dimensions of a solid are changed new sphere compare with the volume of the original sphere? proportionally Supporting Standard 8th Grade Math STAAR 2013 Probability and statistics. The student applies concepts of theoretical and experimental probability to make predictions. The student is expected to SE TEKS Question Stems 8.11 A find the probabilities of dependent and 6 What is the probability that the coin lands tails-up and the independent events cube lands on an even number? Readiness Standard 20 Given two values, what is the probability of choosing two of the same without replacement? 38 Given two cups with different items, what is the probability of selecting one from the first cup and then selecting another from the second? 8.11 B use theoretical probabilities and 31 Based on the results of the survey, how many of the total experimental results to make can be expected to prefer ? predictions and decisions Supporting Standard Probability and statistics. The student uses statistical procedures to describe data. The student is expected to SE TEKS Question Stems 8.12 A use variability (range, including 13 Given a list of numbers, which measure of data does NOT interquartile range (IQR)) and select the describe a typical number? appropriate measure of central tendency to describe a set of data and justify the choice for a particular situation; Supporting Standard 8.12 B draw conclusions and make predictions 50 Based on the trend in the scatterplot, approximately how by analyzing trends in scatterplots; many people will be Supporting Standard 8.12 C select and use an appropriate 10 Given a list of numbers, which box and whisker plot best representation for presenting and represents these data? displaying relationships among collected data, including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, with and without the use of technology Supporting Standard Probability and statistics. The student evaluates prediction ns and conclusions based on statistical data. The student is expected to SE TEKS Question Stems 8.13 A evaluate methods of sampling to 42 Which of the following best explains why the results from determine validity of an inference made the survey may NOT be valid? from a set of data; Supporting Standard 8th Grade Math STAAR 2013 8.13 B recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis Readiness Standard 16 Given a scenario and circle graph, which statement about the conclusion is true? 29 Based on the (bar) graph, which statement is true? Underlying processes and mathematical tools. The student applies Grade 8 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 8.14 A identify and apply mathematics to 15 A purchasing scenario everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics; 24 Given a business scenario and equation 32 Given a business scenario and a figure 34 Given a population sampling scenario 38 Given everyday objects 43 Given a craft or construction example 45 Given a purchasing scenario 47 Given a salary and time worked scenario 49 Given a school purchasing scenario 8th Grade Math STAAR 2013 8.14 B use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness; 7 Given a diagram, apply the Pythagorean Theorem. 11 Given a box and dimensions, find total surface are. 12 Given a packing scenario, multiply to find total amount and then multiple to find percentage. 16 Given circle graph, determine solution and match with a valid approach and justification. 22 Given a range of values, multiply to find an estimate for purchases. 27 Use an act it out or similar strategy to solve a sequential logic problem. 33 Given a figure and scenario, adjust dimensions to find multiple volumes and subtract. 39 Given distances, find the length of the hypotenuse. 40 Given a figure and relationships, determine missing angle measures. 54 Given a figure find the missing leg of a right triangle. 8.14 C 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 21 Given a proportion scenario, find the equivalent operations needed to solve. 36 Given two values in scientific notation, find a strategy to subtract the two values. 8th Grade Math STAAR 2013 53 Given a table of values, find the pattern and solve for unknown output. 8.14 D select tools such as real objects, 1 Given a scatter plot, draw and continue a trend line, using the manipulatives, paper/pencil, and trend line predict a future amount. technology or techniques such as mental math, estimation, and number sense to 28 Use a ruler to measure sides of a net, find lateral surface solve problems area. 50 Given a scatter plot, draw and continue a trend line, using the trend line predict a future amount. Underlying processes and mathematical tools. The student communicates about Grade 8 mathematics through informal and mathematical language, representations, and models. The student is expected to SE TEKS Question Stems 8.15 A communicate mathematical ideas using 3 Given a figure, identify a model of cubes. language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 4 Appropriate units for a recipe 10 Representing data in a box and whisker plot 14 Graphing horizontal and vertical lines and naming points in a coordinate plane 18 Given an equation, find the matching line graph. 19 Given a scale factor, describe the effect on volume. 26 Given an equation and scenario, find the appropriate table of values. 29 Given a bar graph determine which statement is true. 31 Given two different responses to a survey, predict an amount – Griddable 8th Grade Math STAAR 2013 35 Given a table of values, determine the appropriate equation. 46 Given a scale factor, describe the effect on perimeter. 48 Find the correct model of the Pythagorean Theorem. 51 Given a scenario, write an equation. 52 Given a scenario, find an equivalent expression. 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 8.16 A make conjectures from patterns or sets 5 Given an expression, choose an arithmetic sequence. of examples and non-examples; 8.16 B validate his/her conclusions using 17 Given a distance=rateXtime problem, choose the correct mathematical properties and justification. relationships 42 Given a scenario, evaluate the sampling choice.