Step Up to the TEKS by GF Educators, Inc. Eighth Grade Mathematics 2016 Released Items Analysis Teacher: Copyright © 2016 Edition I w w w.StepUpT EK S.c om 8th Grade Mathematics Released Items Name: _______________________ Teacher: ______________________ Date: _________________________ Step Up to the TEKS by GF Educators, Inc. Instructional Analysis IA Item Analysis 2016 Released Items Category 1 8th Grade Math TEKS 8.2B Supporting Standard approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line ITEM 48 Which point on the number line best represents the location of √ 92 ? F G H J Point Point Point Point M N P Q Item Analysis Verb Approximate Locate Using or Including Square Root Concept Irrational Number Process TEKS 8.1B, 8.1C, 8.1E, 8.1F Notes TEKS 8.2C Supporting Standard convert between standard decimal notation and scientific notation ITEM 21 Jamie used a microscope to measure the diameter of a hair. She found that the diameter of the hair was 0.000072 meter. How is this number written in scientific notation? A B C D 7.2 7.2 7.2 7.2 × × × × 10-5 106 105 10-6 Item Analysis Verb Convert Using or Including NA Concept Decimal Notation to Scientific Notation Process TEKS 8.1A, 8.1B, 8.1F Notes © 2015 2 8th Grade Mathematics IA 2016 Released Items Category 1 Item Analysis 8th Grade Math TEKS 8.2D Readiness Standard order a set of real numbers arising from mathematical and real-world contexts ITEM 1 Four students are each trying to raise the same amount of money for a class trip. The table below shows how much of each student’s goal has been met. Item Analysis Verb Order Using or Including Real-World Concept Real Numbers Process TEKS 8.1A, 8.1B, 8.1E, 8.1F Notes Which list shows the numbers in the table in order from least to greatest? 5 2 A 0.7, 65%, 8 , 3 B0.7, C D 5 8 5 8 5 8 , 65%, , 65%, , 2 3 2 3 2 3 , 0.7 , 65%, 0.7 TEKS 8.2D Readiness Standard order a set of real numbers arising from mathematical and real-world contexts ITEM 30 Three groups of students used different methods to estimate the diagonal length of a patio in feet. Their results were: • 4√ 13 ft 2 • 14 5 ft • 14.33 ft Item Analysis Verb Order Using or Including Real-World Concept Which list shows these diagonal lengths in order from greatest to least? Process TEKS 2 F 14.33, 14 5 , 4√ 13 2 G 14.33, 4√ 13 , 14 5 Real Numbers 8.1A, 8.1B, 8.1F Notes 2 H 14 5 , 14.33, 4√ 13 J 2 4√ 13 , 14 5 , 14.33 8th Grade Mathematics 3 © 2015 IA Item Analysis 2016 Released Items Category 1 8th Grade Math TEKS 8.2D Readiness Standard order a set of real numbers arising from mathematical and real-world contexts ITEM 37 Which list shows the numbers below in order from least to greatest? Verb Order Using or Including Mathematical -5.9, 58%, 5.78 Concept Real Numbers 23 -5.9, - 4 , 58%, 5.78 23 58%, - 4 , 5.78, -5.9 Process TEKS 8.1B, 8.1F 23 5.78, -5.9, 58%, - 4 A -5.9, 23 B- 4 , C D Item Analysis 23 - 4 , 5.78, 58% Notes TEKS ITEM Item Analysis Verb Using or Including Concept Process TEKS Notes © 2015 4 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 1 8th Grade Math TEKS 8.4A Supporting Standard use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 – y1)/(x2 – x1), is the same for any two points (x1, y1) and (x2, y2) on the same line ITEM 22 Triangles PQR and RST are similar right triangles. Item Analysis Verb Use Using or Including Change in y-values to change in x-values Concept Similar Right Triangles Process TEKS 8.1B, 8.1C, 8.1E, 8.1F Notes Which proportion can be used to show that the slope of PR is equal to the slope of RT? 3–7 -5 – 3 F -4 – (-7) = 2 – (-4) G H J 3 – (-4) 7 – (-7) -4 – (-7) 3–7 -4 – (-3) -7 – 7 = = = -5 – 2 3 – (-4) 2 – (-4) -5 – 3 2 – (-5) -4 – 3 TEKS 8.4B Readiness Standard graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship ITEM 5 An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Item Analysis Verb Interpret Using or Including NA Concept Unit Rate as Slope Process 8.1A, 8.1B, 8.1E, 8.1G TEKS Notes Which statement best describes the rate of change for this situation? A The height of the water increases 20 inches per second. B The height of the water increases 1 inch per second. C The height of the water increases 5 inches per second. D The height of the water increases 2.5 inches per second. 8th Grade Mathematics 5 © 2015 IA Item Analysis 2016 Released Items Category 2 8th Grade Math TEKS 8.4B Readiness Standard graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship 34 A tree in Dante’s neighborhood grew 18 inches in the first 2 years after it was planted. If the tree continues to grow at this same rate, which graph best represents the growth rate of the tree in inches per year? F H Item Analysis Verb Graph Using or Including NA Concept Proportional Relationships Process TEKS 8.1A, 8.1B, 8.1E, 8.1F Notes G J TEKS 8.4B Readiness Standard graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship ITEM 42 On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with the same unit rate? F H G Item Analysis Verb Graph Using or Including NA Concept Proportional Relationships Process TEKS 8.1A, 8.1B, 8.1E, 8.1F Notes J © 2015 6 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 2 8th Grade Math TEKS 8.4C Readiness Standard use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and realworld problems ITEM 12 What are the slope and the y-intercept of the graph of the linear function shown on the grid? Item Analysis Verb Determine Using or Including Graph Concept Slope y-intercept Process TEKS 8.1B, 8.1C, 8.1E, 8.1F Notes F Slope = 4, y-intercept = 6 G Slope = 4, y-intercept = -1.5 1 H Slope = - 4, y-intercept = -1.5 J 1 Slope = 4, y-intercept = -6 TEKS 8.4C Readiness Standard use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and realworld problems ITEM 39 The graph of a linear function is shown on the coordinate grid. Item Analysis Verb Determine Using or Including Graph Concept y-intercept Process TEKS 8.1B, 8.1E, 8.1F Notes What is the y-intercept of the graph of the linear function? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 8th Grade Mathematics 7 © 2015 IA Item Analysis 2016 Released Items Category 2 8th Grade Math TEKS 8.4C Readiness Standard use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and realworld problems ITEM 47 Carolyn will buy the same number of stamps every month to add to a stamp collection her grandfather gave her. The table shows the number of stamps Carolyn will have at the end of x months. How many stamps was Carolyn given, and how many stamps will she buy every month? A Carolyn was given 200 stamps, and she will buy 50 stamps every month. B Carolyn was given 180 stamps, and she will buy 70 stamps every month. C Carolyn was given 180 stamps, and she will buy 50 stamps every month. D Carolyn was given 200 stamps, and she will buy 70 stamps every month. Item Analysis Verb Determine Using or Including Table Concept Rate of Change Process 8.1A, 8.1B, 8.1C, 8.1E, TEKS 8.1G Notes TEKS 8.5B Supporting Standard represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0 ITEM 16 Which table contains only corresponding x-values and y-values where the value of y is 3 more than the quotient of x and 2? F H Item Analysis Verb Represent Using or Including Tables Concept Linear Non-Proportional Process TEKS 8.1B, 8.1D, 8.1F Notes G J © 2015 8 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 2 8th Grade Math TEKS 8.5E Supporting Standard solve problems involving direct variation ITEM 1 9 The value of y varies directly with x. When y = 75, x = 2. 1 What is the value of y when x is 2 4? 3 A 84 8 1 B337 2 2 C16 3 3 D168 4 Item Analysis Verb Solve Using or Including NA Concept Direct Variation Process TEKS 8.1B, 8.1C, 8.1F Notes TEKS 8.5F Supporting Standard distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0 ITEM 2 Which graph shows a proportional relationship between x and y? F H Item Analysis Verb Distinguish Using or Including Graphs Concept Proportional Process TEKS 8.1B, 8.1E, 8.1F Notes G J 8th Grade Mathematics 9 © 2015 IA Item Analysis 2016 Released Items Category 2 8th Grade Math TEKS 8.5G Readiness Standard identify functions using sets of ordered pairs, tables, mappings, and graphs ITEM 25 Which set of ordered pairs represents y as a function of x? A B C D {(2, {(0, {(3, {(1, 1), 0), 3), 5), (4, (1, (3, (1, 2), 1), 4), 5), (6, (1, (4, (2, 3), (8, 4)} 0), (2, 1)} 3), (4, 4)} 10), (2, 15)} Item Analysis Verb Identify Using or Including Sets of Ordered Pairs Concept Functions Process TEKS 8.1B, 8.1F Notes TEKS 8.5G Readiness Standard identify functions using sets of ordered pairs, tables, mappings, and graphs ITEM 28 Which statement describes the mapping? Item Analysis F The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value. G The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value. H The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value. J The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values. © 2015 10 Verb Identify Using or Including Mappings Concept Functions Process TEKS 8.1B, 8.1E, 8.1G Notes 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 2 8th Grade Math TEKS 8.5G Readiness Standard identify functions using sets of ordered pairs, tables, mappings, and graphs ITEM 56 Which graph represents y as a function of x? F Item Analysis H Verb Identify Using or Including Graphs Concept Functions Process TEKS 8.1B, 8.1E, 8.1F Notes G J TEKS 8.5H Supporting Standard identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems ITEM 20 Which situation represents a proportional relationship? F The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket G The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00 H The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost J The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound Item Analysis Verb Identify Using or Including Real-World Concept Proportional Process TEKS 8.1A, 8.1B Notes 8th Grade Mathematics 11 © 2015 IA 2016 Released Items Category 2 Item Analysis 8th Grade Math TEKS 8.5I Readiness Standard write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations ITEM 14 Which function is best represented by this graph? Item Analysis Verb Write Using or Including Graph Concept Equation Process TEKS 8.1B, 8.1C, 8.1D, 8.1F Notes 1 F y = 2 x + 6 G y = 2x + 3 H y = 2x + 6 J 1 y = - 2 x + 3 TEKS 8.5I Readiness Standard write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations ITEM 36 Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the number of miles he drives. Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles? F G H J © 2015 c c c c = = = = Item Analysis Verb Write Using or Including Table Concept Equation Process TEKS 8.1A, 8.1B, 8.1C, 8.1D, 8.1F Notes 0.10m + 30 30m + 0.10 0.50m + 30 30m + 0.50 12 8th Grade Mathematics IA 2016 Released Items Category 2 Item Analysis 8th Grade Math TEKS 8.5I Readiness Standard write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations ITEM Item Analysis 54 Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the Write Verb computer is paid off. Which equation represents the relationship between m, the number of monthly payments Frankie has made, and t, the total amount that Frankie has paid the store? Using or Verbal Including F G H J t t t t = = = = 50m 30m 50m 30m + 30 – 50 – 30 + 50 Concept Equation Process 8.1A, 8.1B, 8.1D, 8.1F TEKS Notes TEKS 8.8A Supporting Standard write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants ITEM Item Analysis 52 Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of Write Verb $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, Using or the minimum number of trophies that can be ordered so that NA Including the total charge at Company P is less than the total charge at Company R? Inequality Concept F 3.5 + 25x G 3.5 + 25x H3.5x + 25 J3.5x + 25 < > < > 8th Grade Mathematics 7.5 + 17x 7.5 + 17x 7.5x + 17 7.5x + 17 Process 8.1A, 8.1B, 8.1D, 8.1F TEKS Notes 13 © 2015 IA Item Analysis 2016 Released Items Category 2 8th Grade Math TEKS 8.8C Readiness Standard model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants ITEM 7 Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same? A25 B10 C50 D75 Item Analysis Verb Solve Using or Including Real-World Concept Equation Process TEKS 8.1A, 8.1B, 8.1F Notes TEKS 8.8C Readiness Standard model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants ITEM 31 The model represents an equation. Item Analysis What value of x makes the equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. © 2015 14 Verb Solve Using or Including Mathematical Concept Equation Process TEKS 8.1B, 8.1E, 8.1F Notes 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 2 8th Grade Math TEKS 8.8C Readiness Standard model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants ITEM 44 The measures of two angles are (5x + 24)°and (9x – 17)°. What is the value of x if these angles are congruent? F1.75 G13.2 H0.5 J10.25 Item Analysis Verb Solve Using or Including Mathematical Concept Equation Process TEKS 8.1B, 8.1F Notes TEKS 8.9A Supporting Standard identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations ITEM 50 The graph models the linear relationship between the charge for a trip and the number of miles driven for two taxis. Item Analysis Verb Identify Using or Including NA Concept Values that Satisfy Two Linear Equations Process 8.1A, 8.1B, 8.1E, 8.1G TEKS Based on the graph, which statement appears to be true? F The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2. G The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2. H The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2. J The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2. 8th Grade Mathematics 15 Notes © 2015 IA Item Analysis 2016 Released Items Category 3 8th Grade Math TEKS 8.3A Supporting Standard generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation 6 In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P.A line segment drawn from the top corner of the building to point P creates two similar triangles. Item Analysis Verb Generalize Using or Including NA Concept Ratio of Corresponding Sides Process TEKS 8.1A, 8.1B, 8.1E, 8.1F Notes Which proportion can be used to find h, the height of the building in feet? 3 18 F h = 6 6 h 3 = 18 13 h H 5 = 6 6 18 J 3 = h G TEKS 8.3C Readiness Standard use an algebraic representation to explain the effect of a given positive rational scale factor applied to twodimensional figures on a coordinate plane with the origin as the center of dilation ITEM 26 Circle I was dilated with the origin as the center of dilation to create Circle II. Which rule best represents the dilation applied to Circle I to create Circle II? 3 3 F (x , y) → (8 x, 8 y) 8 Item Analysis Verb Use Using or Including NA Concept Algebraic Representation of Scale Factor Process TEKS 8.1B, 8.1D, 8.1F Notes 8 G (x , y) → (3 x, 3 y) H (x , y) → (x + 5, y + 5) J (x , y) → (x – 5, y – 5) © 2015 16 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 3 8th Grade Math TEKS 8.3C Readiness Standard use an algebraic representation to explain the effect of a given positive rational scale factor applied to twodimensional figures on a coordinate plane with the origin as the center of dilation ITEM 51 Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Item Analysis Verb Use Using or Including NA Concept Algebraic Representation of Scale Factor Process TEKS 8.1B, 8.1E, 8.1F Notes Which rule best represents the dilation that was applied to Figure S to create Figure T? A (x , y) → (2x, 2y) B (x , y) → (2x, 4y) C 1 1 (x , y) → (2 x, 2 y) 1 1 D (x , y) → (4 x, 4 y) TEKS 8.6A Supporting Standard describe the volume formula V = Bh of a cylinder in terms of its base area and its height ITEM 29 A cylinder and its dimensions are shown below. One equation for calculating the volume of a cylinder is V = Bh, where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square centimeters, for this cylinder? A π(12.1)2 B2π(12.1) C π(3.8)2 D None of these 8th Grade Mathematics Item Analysis Verb Describe Using or Including NA Concept Volume Formula Process TEKS 8.1B, 8.1C, 8.1E, 8.1F Notes 17 © 2015 IA Item Analysis 2016 Released Items Category 3 8th Grade Math TEKS 8.6C Supporting Standard use models and diagrams to explain the Pythagorean theorem 35 An artist joined three square regions at their vertices to create the figure shown in the diagram. Item Analysis Verb Use Using or Including Model Concept Pythagorean Theorem Process 8.1A, 8.1B, 8.1C, 8.1E, TEKS 8.1G Notes The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true? A The number of tiles needed to cover Region X is the same as the number of tiles needed to cover both Region Yand Region Z. B The number of tiles needed to cover Region Y is the same as the number of tiles needed to cover both Region X and Region Z. C The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y. D None of these TEKS 8.7A Readiness Standard solve problems involving the volume of cylinders, cones, and spheres ITEM 17 A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters? A B C D 46.38 cm3 33.93 cm3 122.15 cm3 82.45 cm3 Item Analysis Verb Solve Using or Including Sphere Concept Volume Process TEKS 8.1A, 8.1B, 8.1C, 8.1F Notes © 2015 18 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 3 8th Grade Math TEKS 8.7A Readiness Standard solve problems involving the volume of cylinders, cones, and spheres ITEM 38 A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet? F G H J 534 ft3 1,335 ft3 691 ft3 1,696 ft3 Item Analysis Verb Solve Using or Including Cylinder Concept Volume Process TEKS 8.1A, 8.1B, 8.1C, 8.1F Notes TEKS 8.7A Readiness Standard solve problems involving the volume of cylinders, cones, and spheres ITEM 55 A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram. Item Analysis Verb Solve Using or Including Cone Concept Volume Process 8.1A, 8.1B, 8.1C, 8.1E, TEKS 8.1F Notes Which measurement is closest to the volume of the party hat in cubic inches? A 84.82 in.3 B 339.29 in.3 C 254.47 in.3 D 1,017.88 in.3 8th Grade Mathematics 19 © 2015 IA Item Analysis 2016 Released Items Category 3 8th Grade Math TEKS 8.7B Readiness Standard use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders ITEM 10 A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters? F G H J 192 128 152 144 Item Analysis Verb Use Determine Using or Including Triangular Prism Concept Lateral Surface Area Process TEKS 8.1B, 8.1C, 8.1E, 8.1F Notes cm2 cm2 cm2 cm2 TEKS 8.7B Readiness Standard use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders ITEM 45 A rectangular prism and its dimensions are shown in the diagram. What is the total surface area of this rectangular prism in square inches? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. © 2015 20 Item Analysis Verb Use Determine Using or Including Rectangular Prism Concept Total Surface Area Process TEKS 8.1B, 8.1C, 8.1E, 8.1F Notes 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 3 8th Grade Math TEKS 8.7C Readiness Standard use the Pythagorean theorem and its converse to solve problems ITEM 15 The set designer for a play painted some background scenery on a large piece of plywood. He used a 13-foot-long pole to hold the piece of plywood upright, as shown in the diagram below. Item Analysis Verb Use Using or Including NA Concept Pythagorean Theorem Process 8.1A, 8.1B, 8.1C, 8.1E, TEKS 8.1F Notes What is h, the total height in feet of the piece of plywood? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. TEKS 8.7C Readiness Standard use the Pythagorean theorem and its converse to solve problems ITEM 32 The diagram below shows the side view of a ramp used to help load and unload a moving van. Which measurement is closest to the length of the ramp in feet? F 8.5 ft G 10.5 ft H 9.5 ft J 13.5 ft 8th Grade Mathematics 21 Item Analysis Verb Use Using or Including NA Concept Pythagorean Theorem Process 8.1A, 8.1B, 8.1C, 8.1E, TEKS 8.1F Notes © 2015 IA Item Analysis 2016 Released Items Category 3 8th Grade Math TEKS 8.7D Supporting Standard determine the distance between two points on a coordinate plane using the Pythagorean theorem ITEM 3 Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M′. Item Analysis Verb Determine Using or Including Pythagorean Theorem Concept Distance on a Coordinate Plane Process TEKS 8.1B, 8.1C, 8.1E, 8.1F Notes Which measurement is closest to the distance between point M and point M′ in units? A 4 units B 17 units C 9 units D 12 units TEKS 8.8D Supporting Standard use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles ITEM 24 Four triangles are shown. Item Analysis Based on these triangles, which statement is true? Verb Use Using or Including Exterior Angle of Triangles Concept Informal Arguments Process TEKS 8.1B, 8.1E, 8.1G Notes F w = 75°, because 45 + 60 = 105 and 180 – 105 = 75 G w = 105°, because 180 – (45 + 60) = 75 and 180 – 75 = 105 H w = 285°, because 45 + 60 = 105 and 105 + 180 = 285 J w = 165°, because 180 – 60 = 120 and 120 + 45 = 165 © 2015 22 8th Grade Mathematics IA 2016 Released Items Category 3 Item Analysis 8th Grade Math TEKS 8.10A Supporting Standard generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of twodimensional shapes on a coordinate plane ITEM 43 Pentagon ABCDE is rotated 180° clockwise about the origin to form pentagon A’B’C’D’E’. Item Analysis Verb Generalize Using or Including Rotation Concept Congruence Process TEKS 8.1B, 8.1E, 8.1G Notes Which statement is true? A Pentagon ABCDE is congruent to pentagon A’B’C’D’E’. B The sum of the angle measures of pentagon A’B’C’D’E’ is 180° more than the sum of the angle measures of pentagon ABCDE. C Each side length of pentagon A’B’C’D’E is 2 times the corresponding side length of pentagon ABCDE. D Each side length of pentagon A’B’C’D’E’ is the corresponding side length of pentagon ABCDE. TEKS 8.10B Supporting Standard differentiate between transformations that preserve congruence and those that do not ITEM 33 Which representation of a transformation on a coordinate grid does not preserve congruence? A B C D (x (x (x (x , , , , y) y) y) y) → → → → 1 1 (7 x, 7 y) (x + 7, y + 7) (x, -y) (y, -x) Item Analysis Verb Differentiate Using or Including NA Concept Congruence Process TEKS 8.1B, 8.1F Notes 8th Grade Mathematics 23 © 2015 IA 2016 Released Items Category 3 Item Analysis 8th Grade Math TEKS 8.10C Readiness Standard xplain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° e as applied to two-dimensional shapes on a coordinate plane using an algebraic representation ITEM 8 The coordinate grid shows parallelogram PQRS. Item Analysis Verb Explain Using or Algebraic Representation Including Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P’Q’R’S′. Which rule describes this transformation? F G H J (x (x (x (x , , , , y) y) y) y) → → → → Concept Rotation Process TEKS 8.1B, 8.1D, 8.1F Notes (x, -y) (-x, y) (y, x) (y, -x) TEKS 8.10C Readiness Standard xplain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° e as applied to two-dimensional shapes on a coordinate plane using an algebraic representation ITEM 19 The coordinates of the vertices of a quadrilateral are P(1, 2), R(1, 4), S(3, 4), and T(4, 2). Item Analysis Verb Explain Using or Algebraic Representation Including Concept Reflection Process TEKS 8.1B, 8.1E, 8.1F Notes Quadrilateral PRST is reflected across the y-axis to create quadrilateral P’R’S’T’. Which rule describes this transformation? A (x , y) → (x, -y) B (x , y) → (-x, y) C (x , y) → (y, -x) D (x , y) → (-y, x) © 2015 24 8th Grade Mathematics IA 2016 Released Items Category 3 Item Analysis 8th Grade Math TEKS 8.10C Readiness Standard xplain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° e as applied to two-dimensional shapes on a coordinate plane using an algebraic representation ITEM 40 Triangle ABC was translated 2 units to the right and 3 units down. Which rule describes the translation that was applied to triangle ABC to create triangle A’B’C′? F G H J (x (x (x (x , , , , y) y) y) y) → → → → Item Analysis Explain Verb Using or Algebraic Representation Including (x – 3, y + 2) (x + 2, y – 3) (2x, -3y) (-3x, 2y) Concept Translation Process TEKS 8.1B, 8.1D, 8.1F Notes TEKS 8.10D Supporting Standard model the effect on linear and area measurements of dilated two-dimensional shapes ITEM 13 A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the field is 3.2 times the corresponding dimension of the playground. Which statement is true? A The area of the field is 6.4 times the area of the playground. B The area of the field is 10.24 times the area of the playground. C The perimeter of the field is 6.4 times the perimeter of the playground. D The perimeter of the field is 10.24 times the perimeter of the playground. 8th Grade Mathematics 25 Item Analysis Verb Model Using or Including NA Concept Area Measurement Process TEKS 8.1A, 8.1B, 8.1G Notes © 2015 IA Item Analysis 2016 Released Items Category 4 8th Grade Math TEKS 8.5C Supporting Standard contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation ITEM 53 Which scatterplot suggests a linear relationship between x and y? A C B Item Analysis Verb Contrast Using or Including Graphical Representation Concept Linear Relationship Process TEKS 8.1B, 8.1E, 8.1F Notes D TEKS 8.5D Readiness Standard use a trend line that approximates the linear relationship between bivariate sets of data to make predictions 23 The scatterplot shows the average number of hours each of 13 people spends at work every week and the average number of hours each of them spends on recreational activities every week. Item Analysis Verb Predict Using or Including Trend Line Concept Linear Relationship Process 8.1A, 8.1B, 8.1C, 8.1E, TEKS 8.1F Notes Based on the scatterplot, what is the best prediction of the average number of hours a person spends at work every week if that person spends an average of 10 hours on recreational activities every week? A 33 h B 85 h C 50 h D 65 h © 2015 26 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 4 8th Grade Math TEKS 8.5D Readiness Standard use a trend line that approximates the linear relationship between bivariate sets of data to make predictions 27 The manager of a restaurant recorded how many people were in different groups of customers and how much those groups spent on food and beverages. The scatterplot below shows the data she recorded. Item Analysis Verb Predict Using or Including Trend Line Concept Linear Relationship Process 8.1A, 8.1B, 8.1C, 8.1E, TEKS 8.1F Notes Based on this scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant? A$135 B$115 C$105 D$150 TEKS 8.5D Readiness Standard use a trend line that approximates the linear relationship between bivariate sets of data to make predictions 46 The scatterplot shows the number of hours that 12 people spent learning to type on a keyboard and each person’s average typing speed. Item Analysis Verb Predict Using or Including Trend Line Concept Linear Relationship Process 8.1A, 8.1B, 8.1C, 8.1E, TEKS 8.1F Notes Based on the scatterplot, what is the best prediction of a person’s average typing speed in words per minute (wpm) if the person has spent 70 hours learning to type? F 100 wpm G 55 wpm H 85 wpm J 70 wpm 8th Grade Mathematics 27 © 2015 IA Item Analysis 2016 Released Items Category 4 8th Grade Math TEKS 8.11A Supporting Standard construct a scatterplot and describe the observed data to address questions of association such as linear, nonlinear, and no association between bivariate data 11 Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone call she made. Item Analysis Verb Describe Using or Including Scatterplot Concept No Association Process 8.1A, 8.1B, 8.1E, 8.1G TEKS Notes Which conclusion is best supported by the scatterplot? A As the length of a call increases, the cost of the call increases. B As the length of a call increases, the cost of the call remains the same. C As the length of a call increases, the cost of the call decreases. D There is no relationship between the length of a call and the cost of a call. TEKS 8.11B Supporting Standard determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points ITEM 49 The list shows the number of songs that five students each downloaded last week. 32, 43, 38, 28, 51 What is the mean absolute deviation of the numbers in the list? A 34.4 B6.88 C 38.4 D7.68 Item Analysis Verb Determine Using or Including No more than 10 data points Concept Mean Absolute Deviation Process TEKS 8.1A, 8.1B, 8.1F Notes © 2015 28 8th Grade Mathematics IA Item Analysis 2016 Released Items Category 4 8th Grade Math TEKS 8.12D Readiness Standard calculate and compare simple interest and compound interest earnings ITEM 4 Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years? F$1,800 G$600 H $450 J$1,873 Item Analysis Verb Calculate Using or Including NA Concept Simple Interest Process TEKS 8.1A, 8.1B, 8.1C, 8.1F Notes TEKS 8.12D Readiness Standard calculate and compare simple interest and compound interest earnings ITEM 41 Nicolas has $650 to deposit into two different savings accounts. Item Analysis Verb • N icolas will deposit $400 into Account I, which earns 3.5% annual simple interest. Using or • He will deposit $250 into Account II, which earns interest Including compounded annually. Nicolas will not make any additional deposits or withdrawals. Which amount is closest to the total balance of these two accounts at the end of 2 years? A$672.13 B$695.00 C $694.25 D $694.51 8th Grade Mathematics Calculate NA Concept Simple and Compound Interest Process TEKS 8.1A, 8.1B, 8.1C, 8.1F Notes 29 © 2015 IA Item Analysis 2016 Released Items Category 4 8th Grade Math TEKS 8.12G Supporting Standard estimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of college ITEM Item Analysis 18 Alejandra and her family are discussing how to pay for her college education. The cost of tuition at the college that Estimate Verb Alejandra wants to attend is $9,000 per year. Alejandra’s parents will pay 85% of the tuition cost every year, and she will Family Contribution pay the rest. Alejandra has one year to save enough money to Using or Including Savings Plan attend her first year of college. What is the minimum amount of money she should save every month in order to reach her Cost of College Concept goal? Process TEKS F$637.50 G$1,350.00 H$112.50 J$28.12 8.1A, 8.1B, 8.1C, 8.1F Notes TEKS ITEM Item Analysis Verb Using or Including Concept Process TEKS Notes © 2015 30 8th Grade Mathematics Category 1 Numerical Representations and Relationships 5 Total Questions TEKS Item Correct Notes Answer 8.2Aextend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers NT 8.2Bapproximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line 48 H 8.1B, 8.1C, 8.1E, 8.1F 8.2Cconvert between standard decimal notation and scientific notation 21 A 8.1A, 8.1B, 8.1F 8.2Dorder a set of real numbers arising from mathematical and real-world contexts 1 C 8.1A, 8.1B, 8.1E, 8.1F 30 J 8.1A, 8.1B, 8.1F 37 C 8.1B, 8.1F Shaded - Readiness TEKS, NT - Not Tested Readiness TEKS - 3/5 questions 8th Grade Mathematics 31 © 2015 Category 2 Computations and Algebraic Relationships 22 Total Questions TEKS Item Correct Notes Answer 8.4Ause similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 – y1)/(x2 – x1), is the same for any two points (x1, y1) and (x2, y2) on the same line 8.4Bgraph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship 8.4Cuse data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems 22 F 8.1B, 8.1C, 8.1E, 8.1F 5 34 42 12 39 D G H H -6 8.1A, 8.1B, 8.1E, 8.1G 47 A 8.1A, 8.1B, 8.1C, 8.1E, 8.1G 8.1A, 8.1B, 8.1E, 8.1F 8.1A, 8.1B, 8.1E, 8.1F 8.1B, 8.1C, 8.1E, 8.1F 8.1B, 8.1E, 8.1F 8.5Arepresent linear proportional situations with tables, graphs, and equations in the form of y = kx NT 8.5Brepresent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0 16 G 8.1B, 8.1D, 8.1F 8.5Esolve problems involving direct variation 9 B 8.1B, 8.1C, 8.1F 8.5F distinguish between proportional and nonproportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b≠0 2 F 8.1B, 8.1E, 8.1F 25 28 56 A H G 8.1B, 8.1F 8.1B, 8.1E, 8.1G 20 J 8.1A, 8.1B 14 J 8.1B, 8.1C, 8.1D, 8.1F 36 F 8.1A, 8.1B, 8.1C, 8.1D, 8.1F 54 J 8.1A, 8.1B, 8.1D, 8.1F 8.8Awrite one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants 52 H 8.1A, 8.1B, 8.1D, 8.1F 8.8Bwrite a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants NT 7 31 44 A 2.25 J 8.1A, 8.1B, 8.1F 50 H 8.1A, 8.1B, 8.1E, 8.1G 8.5Gidentify functions using sets of ordered pairs, tables, mappings, and graphs 8.5Hidentify examples of proportional and nonproportional functions that arise from mathematical and real-world problems 8.5I write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations 8.8Cmodel and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants 8.9Aidentify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations 8.1B, 8.1E, 8.1F 8.1B, 8.1E, 8.1F 8.1B, 8.1F Shaded - Readiness TEKS, NT - Not Tested Readiness TEKS - 15/22 questions © 2015 32 8th Grade Mathematics Category 3 Geometry and Measurement 20 Total Questions TEKS Item Correct Notes Answer 8.3Ageneralize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation 6 8.3Bcompare and contrast the attributes of a shape and its dilation(s) on a coordinate plane NT G 8.1A, 8.1B, 8.1E. 8.1F 26 G 8.1B, 8.1D, 8.1F 51 A 8.1B, 8.1E, 8.1F 8.6Adescribe the volume formula V = Bh of a cylinder in terms of its base area and its height 29 A 8.1B, 8.1C, 8.1E, 8.1F 8.6Cuse models and diagrams to explain the Pythagorean theorem 35 C 8.1A, 8.1B, 8.1C, 8.1E. 8.1G 8.7Asolve problems involving the volume of cylinders, cones, and spheres 17 38 55 D G A 8.1A, 8.1B, 8.1C, 8.1F 8.1A, 8.1B, 8.1C, 8.1E, 8.1F 8.7Buse previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders 10 G 8.1B, 8.1C, 8.1E, 8.1F 45 102.16 8.1B, 8.1C, 8.1E, 8.1F 8.7Cuse the Pythagorean theorem and its converse to solve problems 15 32 14 H 8.1A, 8.1B, 8.1C, 8.1E, 8.1F 8.7Ddetermine the distance between two points on a coordinate plane using the Pythagorean theorem 3 D 8.1B, 8.1C, 8.1E, 8.1F 8.8Duse informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angleangle criterion for similarity of triangles 24 G 8.1B, 8.1E, 8.1G 8.10A g eneralize the properties of orientation and congruence of rotations, reflections, translations, and dilations of twodimensional shapes on a coordinate plane 43 A 8.1B, 8.1E, 8.1G 8.10B d ifferentiate between transformations that preserve congruence and those that do not 33 A 8.1B, 8.1F 8.10C e xplain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation 8 19 40 J B G 8.1B, 8.1D, 8.1F 8.10D m odel the effect on linear and area measurements of dilated two-dimensional shapes 13 B 8.1A, 8.1B, 8.1G 8.3Cuse an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation 8.1A, 8.1B, 8.1C, 8.1F 8.1A, 8.1B, 8.1C, 8.1E, 8.1F 8.1B, 8.1E, 8.1F 8.1B, 8.1D, 8.1F Shaded - Readiness TEKS, NT - Not Tested Readiness TEKS - 12/20 questions 8th Grade Mathematics 33 © 2015 Category 4 Data Analysis and Personal Finance 9 Total Questions TEKS 8.5Ccontrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation Item Correct Notes Answer 53 B 8.1B, 8.1E, 8.1F 23 27 46 D A H 8.1A, 8.1B, 8.1C, 8.1E, 8.1F 8.11A c onstruct a scatterplot and describe the observed data to address questions of association such as linear, nonlinear, and no association between bivariate data 11 D 8.1A, 8.1B, 8.1E, 8.1G 8.11B d etermine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points 49 B 8.1A, 8.1B, 8.1F 8.12A s olve real-world problems comparing how interest rate and loan length affect the cost of credit NT 8.12C e xplain how small amounts of money invested regularly, including money saved for college and retirement, grow over time NT 4 41 F D 8.1A, 8.1B, 8.1C, 8.1F 18 H 8.1A, 8.1B, 8.1C, 8.1F 8.5Duse a trend line that approximates the linear relationship between bivariate sets of data to make predictions 8.12D c alculate and compare simple interest and compound interest earnings 8.12G e stimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of college 8.1A, 8.1B, 8.1C, 8.1E, 8.1F 8.1A, 8.1B, 8.1C, 8.1E, 8.1F 8.1A, 8.1B, 8.1C, 8.1F Shaded - Readiness TEKS, NT - Not Tested Readiness TEKS - 5/9 questions © 2015 34 8th Grade Mathematics

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