Grade 6 Math STAAR 2013 Number, operation, and quantitative reasoning. The student represents and uses rational numbers in a variety of equivalent forms. The student is expected to SE TEKS Question Stems 6.1A Compare and order non-negative 4 The numbers in each set shown below have a common rational numbers. Supporting Standard characteristic. Which statement best describes a common characteristic of the numbers in Set S or Set T? 6.1B 6.1C generate equivalent forms of rational numbers including whole numbers, fractions, and decimals; Readiness Standard use integers to represent real-life situations; Supporting Standard 18 Which of these students wrote an equation that is true? 31 Which number is equivalent to 13/2? 44 Given a king snake that measures 31/50m long, what is an equivalent length of this king snake in meters? 52 Given a number of children, which integer best represents the change in the number of children at the day care from 8:00 A.M. to 3:00 P.M.? 6.1D write prime factorizations using 12 What is the prime factorization of 196? exponents; Supporting Standard 6.1E identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers; and Supporting Standard 6.1F identify multiples of a positive integer and common multiples and the least common multiple of a set of positive integers. Supporting Standard Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, and divides to solve problems and justify solutions. The student is expected to SE TEKS Question Stems 6.2A model addition and subtraction 15 Which model is shaded to best represent the expression situations involving fractions with below? [objects,] pictures, words, and numbers; Supporting Standard 6.2B use addition and subtraction to solve 6 Given a scenario of three children’s age, what is Allen’s age? problems involving fractions and decimals; Readiness Standard 27 Given a scenario, would Maria have enough strawberries left to make the milk shakes that require 4 cups of strawberries? 6.2C use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates; Readiness Standard 41 Given a cost for three different packages, what could be the total amount Mr. Lee paid to mail the 3 packages? 21 Based on the information in the list, which statement is true? 36 At a rate of 200 buttons to 50 shirts, how many buttons would the worker use to make 350 shirts? Grade 6 Math STAAR 2013 49 At a rate of 4 adult gorillas feed 160 lbs. of food, how many pounds of food would the zoo keeper need every day to feed 6 adult gorillas? 6.2D 6.2E estimate and round to approximate reasonable results and to solve problems where exact answers are not required; and Supporting Standard use order of operations to simplify whole number expressions (without exponents) in problem solving situations. Readiness Standard 23 Given a scenario, which of the following is a reasonable estimate of the total number of meters Hector swam? 38 Using the cell phone bill for Mrs. Larsen and her 3 children, which expression below can be used to find the number of minutes each person used? 46 Given a scenario, which expression below matches how many oranges was use to make orange juice? Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships. The student is expected to SE TEKS Question Stems 6.3A use ratios to describe proportional 11 Given a video game scenario, which equation can be used to situations; Supporting Standard determine t, the number of tokens Fred bought? 6.3B 6.3C represent ratios and percents with [concrete] models, fractions, and decimals; and Supporting Standard use ratios to make predictions in proportional situations. Readiness Standard 16 What decimal is equivalent to 85%? 3 Given a scenario and rate, determine how many of the students were wearing jeans? 28 Based on the ratio of large to small bandages that is 3 to 2, how many large bandages are in the kit if there are a total of 80 bandages? 45 Given a list of chicken dish ingredients, which statement is true? 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 SE TEKS Question Stems 6.4A use tables and symbols to represent and 13 Which table represents the relationship between the values describe proportional and other of m and j given (0.05 + j)? relationships such as those involving conversions, arithmetic sequences (with 20 Based on the information in a given table, which expression a constant rate of change), perimeter can be used to find g, the number of gallons of tomato sauce and area; and Readiness Standard needed to make n pizzas? 37 Using a given table of information, determine which expression represents the value of k in terms of p? Grade 6 Math STAAR 2013 6.4B use tables of data to generate formulas representing relationships involving perimeter, area, volume of a rectangular prism, etc. Supporting Standard 5 Using a given table of values, which equation can be used to find V, the volume in cubic centimeters of a rectangular prism in Kenji’s collection? Patterns, relationships, and algebraic thinking. The student uses letters to represent an unknown in an equation. The student is expected to SE TEKS Question Stems 6.5A formulate equations from problem 9 Given 25 words worth 4 points each, determine which situations described by linear equation can be used to find p, the total number of points relationships. Readiness Standard Carlos earned for Spelling w words correctly? 34 Carlos drank m fluid ounces of water that morning, which equation can be used to find n, the number of fluid ounces of water he drank the rest of the day given he drank 40 fluid ounces for the day? 50 Given adult tickets cost $10 and child tickets cost $6, which equation can be used to finds, the total number of dollars a family of k adults and 5 children would pay for movie tickets? Geometry and spatial reasoning. The student uses geometric vocabulary to describe angles, polygons, and circles. The student is expected to SE TEKS Question Stems 6.6A use angle measurements to classify 51 Given an angle with the listed characteristics, which of the angles as acute, obtuse, or right; following could be the angle Danica drew? Supporting Standard 6.6B identify relationships involving angles in triangles and quadrilaterals; and Supporting Standard 19 Which statement about figure RSTU is true? 6.6C describe the relationship between radius, diameter, and circumference of a circle. Readiness Standard 2 Which expression can be used to find the circumference of the clock face that has a radius of 13 centimeters? 26 Information about three circles is listed below. Based on this information, which statement is true? 40 Given a drawing, what is the circle’s radius? 47. Which equation can be used to find d, the diameter of the tunnel opening in meters given it has a circumference of 36 meters? Geometry and spatial reasoning. The student uses coordinate geometry to identify location in two dimensions. The Grade 6 Math STAAR 2013 student is expected to SE TEKS 6.7A locate and name points on a coordinate plane using ordered pairs of nonnegative rational numbers. Supporting Standard Question Stems 10 A polygon is shown on the coordinate grid. Which vertex is NOT represented by an ordered pair in the list? 29 Which ordered pair appears to be located 350 units to the right and 700 units up from point W? Measurement. The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and angles. The student is expected to SE TEKS Question Stems 6.8A estimate measurements (including 32 Given a scenario, which of the following is the best estimate circumference) and evaluate of the number of minutes Dante spent delivering each reasonableness of results; Supporting package? Standard 6.8B select and use appropriate units, tools, 8 Given a scenario, determine what time did Tamara finish the or formulas to measure and to solve race? problems involving length (including perimeter), area, time, temperature, 22 Using the diagram below determine what the radius of the volume, and weight; Readiness smaller circle would be? Standard 33 Measure the figure to the nearest 1/3 inch and use the scale of 1 inch to 2 feet, determine the amount that is closest to the perimeter of the actual design on the gym wall? 6.8C measure angles; and Supporting Standard 14 What is the difference between the measures of angle NJP and angle KJL to the nearest degree? 35 Which angle does NOT appear to have a measure of 160°? 6.8D convert measures within the same measurement system (customary and metric) based on relationships between units. Supporting Standard 25 Which statement describes the common characteristic in the list below? 42 How many fluid ounces is the equivalent of 10 pints? Probability and statistics. The student uses experimental and theoretical probability to make predictions. The student is expected to SE TEKS Question Stems 6.9A construct sample spaces using lists and 17 Which list shows all the other possible outcomes of 1 tree diagrams; and number of doors, 1 type of seat cover, and 1 color? Supporting Standard 6.9B find the probabilities of a simple event 30. Given a plane with 50 seats that has 16 aisle seats, what and its complement and describe the decimal represents the probability that Mitsu will be randomly relationship between the two. assigned to a window seat? Supporting Standard Probability and statistics. The student uses statistical representations to analyze data. The student is expected to Grade 6 Math STAAR 2013 SE 6.10A 6.10B 6.10C 6.10D TEKS select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot; Supporting Standard identify mean (using [concrete objects and] pictorial models), median, mode, and range of a set of data; Supporting Standard sketch circle graphs to display data; and Supporting Standard solve problems by collecting, organizing, displaying, and interpreting data. Readiness Standard Question Stems 1 Given a list of data, what is the median number of rides at these rodeos? 48 Given the table of data, what percentage of the circle graph should she use to represent the percentage of teeth in her mouth that are incisors? 7 Which statement is best supported by the information in the pictograph? 24 If the data for the twelfth worm are added to the line plot, which statement would be true? 39 Which statement is best supported by the information in the graph? 43 Given a graph of menu price changes over time, which statement is true if the prices continue to change in this same way? Underlying processes and mathematical tools. The student applies Grade 6 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 6.11A identify and apply mathematics to 1 Application of society and increased rigor: Number of rides at everyday experiences, to activities in rodeo and outside of school, with other disciplines, and with other mathematical 8 Application of society an increased rigor: Finishing time at a topics; race 28 Application of everyday life and increased rigor: Ratio of everyday objects (Band-Aids) 30 Application of society and increased rigor: Probability of sitting in a window seat of an airplane 36 Application of the workplace and increased rigor: Ratio of buttons to shirts for a clothing company Grade 6 Math STAAR 2013 42 Application of society and increased rigor: Conversions of pints of blood in the body to ounces 46 Application of everyday life and increased rigor: Deterring if there is enough oranges to make orange juice 49 Application of the workplace and increased rigor: Rate of feeding adult gorillas in a zoo 6.11B use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness; 19 Given geometrical figures determine the true statement 22 Given diagrams determine radius 23 Given a scenario determine the total number of meters swam 24 Given a line plot and adding information determine the true statement 32 Given a scenario determine the minutes spent delivering each package 51 Given characteristics of an angle determine the correct angle drawn 6.11C 6.11D 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 6 Find a strategy to solve a logic problem of age select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems. 10 Select the appropriate tool or technique to determine which vertex is NOT represented by an ordered pair in the list 17 Find a strategy to determine possible outcomes of a given scenario 41 Find a strategy to determine total mailing cost based on a given scenario 14 Select the appropriate tool or technique to find angle degrees 15 Select the appropriate tool or technique to determine an expression given pictorial models 29 Select the appropriate tool or technique to determine ordered pair for a given point on a coordinate plane Grade 6 Math STAAR 2013 33 Select the appropriate tool or technique such as a ruler to measure the dimensions of the figure to the nearest ¼ inch 35 Select the appropriate tool a protractor to determine which angle does not have a measure of 160° Underlying processes and mathematical tools. The student communicates about Grade 6 mathematics through informal and mathematical language, representations, and models. The student is expected to SE TEKS Question Stems 6.12A communicate mathematical ideas using 5 Use reasoning and the implications of mathematical ideas and language, efficient tools, appropriate reasoning: Utilizing the given table of data identify an equation units, and graphical, numerical, physical, for volume or algebraic mathematical models. 7 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given pictograph/scale to determine the best supporting statement 9 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given rate to determine the appropriate equation 11 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given word problem to determine the appropriate equation for the number of tokens bought 13 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given expression to determine the appropriate table of data 20 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given table of data for tomato sauce and pizzas to determine the appropriate equation 26 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given information about circles to determine the true statement 37 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given table of data to determine the appropriate expression to represent values of a given variable 38 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the given information about cell phone calls and expression to determine the number of minutes used by each person Grade 6 Math STAAR 2013 39 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the bar graph and find the best statement to support the information on the graph on garbage cans emptied in the neighborhood 45 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the recipe list to determine the statement that is true for making sauce 47 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the information given about circumference to determine the appropriate equation for the diameter 50 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the information given to determine the equation for movie tickets 52 Use reasoning and the implications of mathematical ideas and reasoning: Utilizing the information given to determine which integer best represents the change in the number of children Underlying processes and mathematical tools. The student communicates about Grade 6 mathematics through informal and mathematical language, representations, and models. SE TEKS Question Stems 6.12B Multiple representation have specificity added for symbols and diagrams 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 6.13A make conjectures from patterns or sets 4 Analyze relationships and form connections through the use of of examples and non-examples; and pattern number characteristics to make conjectures on which statement best describes these characteristics of sets of numbers 25 Analyze relationships and form connections through the use of the given measurement data to determine which statement describes the common characteristics 43 Analyze relationships and form connections through the use of a line graph of menu items and prices to determine which statement is true if the prices continue at the same rate Grade 6 Math STAAR 2013 6.13B validate his/her conclusions using mathematical properties and relationships. 3 Using mathematical ideas and arguments, validate how many students were wearing jeans based on a ratio and match it to the appropriate equation 21 Using mathematical ideas and arguments, validate which statement is true given a list of activities and the rate at which the calories are burned 27 Using mathematical ideas and arguments, validate if there are enough strawberries for milk shakes given a total of 8 cups of strawberries where 1 ½ cups and 3 3/8 cups were used 40 Using mathematical ideas and arguments, validate what the circle’s radius and equation would be given a diagram and information 48 Using mathematical ideas and arguments, validate the correct percentage and process for representing the incisor teeth to canine, premolar, and molar teeth in a circle graph