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 generate equivalent forms of rational 18 Which of these students wrote an equation that is true? numbers including whole numbers, fractions, and decimals; Readiness 31 Which number is equivalent to 13/2? Standard 44 Given a king snake that measures 31/50m long, what is an equivalent length of this king snake in meters? 6.1C use integers to represent real-life 52 Given a number of children, which integer best situations; Supporting Standard 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 problems involving fractions and age? decimals; Readiness Standard 27 Given a scenario, would Maria have enough strawberries left to make the milk shakes that require 4 cups of strawberries?

41 Given a cost for three different packages, what could be the total amount Mr. Lee paid to mail the 3 packages? Grade 6 Math STAAR 2013 6.2C use multiplication and division of 21 Based on the information in the list, which statement is whole numbers to solve problems true? including situations involving equivalent ratios and rates; 36 At a rate of 200 buttons to 50 shirts, how many buttons Readiness Standard would the worker use to make 350 shirts? 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 estimate and round to approximate 23 Given a scenario, which of the following is a reasonable reasonable results and to solve estimate of the total number of meters Hector swam? problems where exact answers are not required; and Supporting Standard 6.2E use order of operations to simplify 38 Using the cell phone bill for Mrs. Larsen and her 3 whole number expressions (without children, which expression below can be used to find the exponents) in problem solving number of minutes each person used? situations. Readiness Standard 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 situations; Supporting Standard used to determine t, the number of tokens Fred bought?

6.3B represent ratios and percents with 16 What decimal is equivalent to 85%? [concrete] models, fractions, and decimals; and Supporting Standard 6.3C use ratios to make predictions in 3 Given a scenario and rate, determine how many of the proportional situations. Readiness students were wearing jeans? Standard 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 13 Which table represents the relationship between the and describe proportional and other values of m and j given (0.05 + j)? Grade 6 Math STAAR 2013 relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), 20 Based on the information in a given table, which perimeter and area; and Readiness expression can be used to find g, the number of gallons of Standard tomato sauce needed to make n pizzas? 37 Using a given table of information, determine which expression represents the value of k in terms of p?

6.4B use tables of data to generate 5 Using a given table of values, which equation can be formulas representing relationships used to find V, the volume in cubic centimeters of a involving perimeter, area, volume of rectangular prism in Kenji’s collection? a rectangular prism, etc. Supporting Standard

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 angles as acute, obtuse, or right; the following could be the angle Danica drew? Supporting Standard

6.6B identify relationships involving 19 Which statement about figure RSTU is true? angles in triangles and quadrilaterals; and Supporting Standard

6.6C describe the relationship between 2 Which expression can be used to find the circumference radius, diameter, and circumference of the clock face that has a radius of 13 centimeters? of a circle. Readiness Standard Grade 6 Math STAAR 2013 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 student is expected to SE TEKS Question Stems 6.7A locate and name points on a 10 A polygon is shown on the coordinate grid. Which coordinate plane using ordered pairs vertex is NOT represented by an ordered pair in the list? of non-negative rational numbers. Supporting Standard 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 circumference) and evaluate estimate of the number of minutes Dante spent delivering reasonableness of results; each package? Supporting Standard 6.8B select and use appropriate units, 8 Given a scenario, determine what time did Tamara finish tools, or formulas to measure and to the race? solve problems involving length (including perimeter), area, time, 22 Using the diagram below determine what the radius of temperature, volume, and weight; the smaller circle would be? Readiness 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 14 What is the difference between the measures of angle Standard NJP and angle KJL to the nearest degree?

35 Which angle does NOT appear to have a measure of 160°? Grade 6 Math STAAR 2013 6.8D convert measures within the same 25 Which statement describes the common characteristic measurement system (customary and in the list below? metric) based on relationships between units. Supporting Standard 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 17 Which list shows all the other possible outcomes of 1 and tree diagrams; and number of doors, 1 type of seat cover, and 1 color? Supporting Standard 6.9B find the probabilities of a simple 30. Given a plane with 50 seats that has 16 aisle seats, event and its complement and what decimal represents the probability that Mitsu will be describe the relationship between the randomly assigned to a window seat? two. Supporting Standard Probability and statistics. The student uses statistical representations to analyze data. The student is expected to SE TEKS Question Stems 6.10A 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 6.10B identify mean (using [concrete 1 Given a list of data, what is the median number of rides objects and] pictorial models), at these rodeos? median, mode, and range of a set of data; Supporting Standard 6.10C sketch circle graphs to display data; 48 Given the table of data, what percentage of the circle and Supporting Standard graph should she use to represent the percentage of teeth in her mouth that are incisors?

6.10D solve problems by collecting, 7 Which statement is best supported by the information in organizing, displaying, and the pictograph? interpreting data. Readiness Standard 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? Grade 6 Math STAAR 2013

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 everyday experiences, to activities in rides at rodeo and outside of school, with other disciplines, and with other 8 Application of society an increased rigor: Finishing time mathematical topics; at a 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

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 19 Given geometrical figures determine the true statement incorporates understanding the problem, making a plan, carrying out 22 Given diagrams determine radius the plan, and evaluating the solution for reasonableness; 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 Grade 6 Math STAAR 2013

6.11C select or develop an appropriate 6 Find a strategy to solve a logic problem of age problem-solving strategy from a variety of different types, including drawing a picture, looking for a 17 Find a strategy to determine possible outcomes of a pattern, systematic guessing and given scenario checking, acting it out, making a table, working a simpler problem, or 41 Find a strategy to determine total mailing cost based on working backwards to solve a a given scenario problem; and 6.11D select tools such as real objects, 10 Select the appropriate tool or technique to determine manipulatives, paper/pencil, and which vertex is NOT represented by an ordered pair in the technology or techniques such as list mental math, estimation, and number sense to solve problems. 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

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 5 Use reasoning and the implications of mathematical using language, efficient tools, ideas and reasoning: Utilizing the given table of data appropriate units, and graphical, identify an equation for volume numerical, physical, 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 Grade 6 Math STAAR 2013 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

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 Grade 6 Math STAAR 2013 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 4 Analyze relationships and form connections through the sets of examples and non-examples; use of pattern number characteristics to make conjectures and 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

6.13B validate his/her conclusions using 3 Using mathematical ideas and arguments, validate how mathematical properties and many students were wearing jeans based on a ratio and relationships. 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 Grade 6 Math STAAR 2013 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