UPDATE ON STAAR MATHEMATICS Julie Guthrie Director of Math and Science Assessments Student Assessment Division Texas Education Agency Texas Education Agency Student Assessment Division October 2016 2 GRIDDABLE QUESTIONS 3 GRIDDABLE QUESTIONS • STAAR mathematics assessments use a type of open-ended question known as a griddable question. • The purpose of griddable questions is to provide students opportunities to derive answers independently without being influenced by answer choices provided with the questions. • Griddable Questions for Mathematics Texas Education Agency Student Assessment Division October 2016 4 GRIDDABLE QUESTIONS • Griddable questions sometimes have a higher omit rate than multiple-choice questions. • Data for griddable questions includes correct, incorrect, and omit. • As part of the incorrect response, TEA reviews the top 5 incorrect answers. Texas Education Agency Student Assessment Division October 2016 5 GRIDDABLE QUESTIONS FOR STAAR GRADES 3–5 MATH • There are three griddable questions on each assessment. • The correct answer will be a positive number. • The answer grids include a fixed decimal point. • Students must enter their answer in the correct columns with respect to the fixed decimal point. Texas Education Agency Student Assessment Division October 2016 6 GRIDDABLE QUESTIONS FOR STAAR GRADES 3–5 MATH • Students must enter their answer in the boxes (paper and online) and then fill in the corresponding bubbles (paper only). • Students do not have to use all the boxes. • Extra zeros may be filled in (either before or after the answer) as long as their placement does not affect the value of the answer. Texas Education Agency Student Assessment Division October 2016 Texas Education Agency Student Assessment Division October 2016 PAPER 7 GRADE 3 ONLINE 8 2016 STAAR GRADE 3 MATH GRIDDABLE QUESTIONS 11) Felicia started placing square tiles inside a rectangle, as shown in the diagram. Each square tile has a side length of 1 cm. She continued placing square tiles without any overlaps to cover the rectangle. What is the area of the rectangle in square centimeters. 3.6C — area of rectangle 68% correct answer → 28 31% incorrect including 6% → 10 and 4% → 18 Texas Education Agency Student Assessment Division October 2016 9 2016 STAAR GRADE 3 MATH GRIDDABLE QUESTIONS 23) The graph below shows the number of pounds of plastic the Keller family recycled for five months. Based on the graph, how many more pounds of plastic did the family recycle in July than in April? 3.8B — one-step with pictograph 50% correct answer → 60 50% incorrect including 6% → 40 and 4% → 220 Texas Education Agency Student Assessment Division October 2016 10 2016 STAAR GRADE 3 MATH GRIDDABLE QUESTIONS 35) Adyssen started with $87 in her bank account. She put $213 into her account last week and another $137 this week. What is the total amount Adyssen now has in her bank account? 3.4A — two-step problem with addition 67% correct answer → 437 32% incorrect including 4% → 350 and 3% → 427 Texas Education Agency Student Assessment Division October 2016 Texas Education Agency Student Assessment Division October 2016 PAPER 11 GRADE 4 ONLINE 12 2016 STAAR GRADE 4 MATH GRIDDABLE QUESTIONS 13) The frequency table shows the favorite school lunches of some students. The table is missing the information for the number of students who chose a hamburger. The number of students who chose a hamburger is half the number of students who chose pizza. How many students chose a hamburger or chicken as their favorite school lunch? 4.9B — two-step using frequency table 30% correct answer → 29 70% incorrect including 28% → 16 and 7% → 19 Texas Education Agency Student Assessment Division October 2016 13 2016 STAAR GRADE 4 MATH GRIDDABLE QUESTIONS 26) The distance between Henry’s house and his school is 648 feet. How many yards are equivalent to 648 feet? 4.8B — convert measurements 49% correct answer → 216 50% incorrect including 2% → 648 and 2% → 129.6 Texas Education Agency Student Assessment Division October 2016 14 2016 STAAR GRADE 4 MATH GRIDDABLE QUESTIONS 34) Jana bought 1 hat and 2 skirts. The hat cost $28.53, and the skirts cost $15.88 each. What was the total cost in dollars and cents of the items Jana bought? 4.4A — add whole numbers and decimals 43% correct answer → 60.29 57% incorrect including 28% → 44.41 and 1% → 31.76 Texas Education Agency Student Assessment Division October 2016 Texas Education Agency Student Assessment Division October 2016 PAPER 15 GRADE 5 ONLINE 16 MARCH 2016 STAAR GRADE 5 MATH GRIDDABLE QUESTIONS 12) Raymond used 42 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished prism had a total of 7 layers. What is the volume of Raymond’s prism in cubic inches? 5.6B — determine volume 70% correct answer → 294 29% incorrect including 3% → 6 and 2% → 2.94 Texas Education Agency Student Assessment Division October 2016 17 MARCH 2016 STAAR GRADE 5 MATH GRIDDABLE QUESTIONS 25) At a clothing store, Zoey bought 2 shirts for $7.25 each and 2 pairs of jeans for $24 each. She used a coupon for $10 off the total price of the clothes. The discounted price of the clothes Zoey bought can be found using this expression. [2(7.25) + 2 (24)] – 10 What is the discounted price in dollars and cents of the clothes Zoey bought? 5.4F — simplify numerical expression 50% correct answer → 52.50 50% incorrect including 5% → 14.88 and 4% → 62.50 Texas Education Agency Student Assessment Division October 2016 18 MARCH 2016 STAAR GRADE 5 MATH GRIDDABLE QUESTIONS 37) Amy cut 32 feet of chain into pieces that were each ¼ ft long. How many of these pieces did Amy have after cutting the chain? 5.3L — dividing by fraction 44% correct answer → 128 56% incorrect including 19% → 8 and 2% → 32 Texas Education Agency Student Assessment Division October 2016 19 GRIDDABLE QUESTIONS FOR STAAR GRADES 6–8 MATH • There are four griddable questions on each assessment. • The correct answer can be a positive or a negative number. If the answer is a negative number, students must enter a negative sign. If no sign is marked, the answer will default to a positive number. • The answer grids include a fixed decimal point. • Students must enter their answer in the correct columns with respect to the fixed decimal point. Texas Education Agency Student Assessment Division October 2016 20 GRIDDABLE QUESTIONS FOR STAAR GRADES 6–8 MATH • Students must enter their answer in the boxes (paper and online) and then fill in the corresponding bubbles (paper only). • Students do not have to use all the boxes. • Extra zeros may be filled in (either before or after the answer) as long as their placement does not affect the value of the answer. Texas Education Agency Student Assessment Division October 2016 Texas Education Agency Student Assessment Division October 2016 21 PAPER GRADE 6 ONLINE 22 2016 STAAR GRADE 6 MATH GRIDDABLE QUESTIONS 16) In triangle FGH shown below, what is the measure of <F in degrees? 6.8A — sum of angles in triangle 38% correct answer → 19.5 61% incorrect including 7% → 20.5 and 3% → 20 Texas Education Agency Student Assessment Division October 2016 23 2016 STAAR GRADE 6 MATH GRIDDABLE QUESTIONS 30) A teacher wrote this expression on the board. (-6)(2) + (-8 ÷ 4) What is the value of this expression? 6.3D — perform operations with integers 42% correct answer → -14 58% incorrect including 11% → 14 and 6% → -16 Texas Education Agency Student Assessment Division October 2016 24 2016 STAAR GRADE 6 MATH GRIDDABLE QUESTIONS 36) Before Nina bought groceries on April 22, she had a balance of $487.25 in her checking account. Nina wrote her transactions in her check register. She included all her transactions through the end of the day on April 23. Based on the transactions in Nina’s check register, what is the balance in dollars and cents in her checking account at the end of the day on April 23? 6.14C — balance a check register 49% correct answer → 429.75 50% incorrect including 7% → 399.75 and 3% → 414.75 Texas Education Agency Student Assessment Division October 2016 25 2016 STAAR GRADE 6 MATH GRIDDABLE QUESTIONS 42) A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of days in November that classes were offered at the restaurant? 6.4G — equivalent fractions and decimal 40% correct answer → 0.8 60% incorrect including 7% → 0.24 and 3% → 80 Texas Education Agency Student Assessment Division October 2016 Texas Education Agency Student Assessment Division October 2016 26 PAPER GRADE 7 ONLINE 27 2016 STAAR GRADE 7 MATH GRIDDABLE QUESTIONS 18) Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin’s model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin’s model? 7.5C — solve problems involving scale models 45% correct answer → 6.04 54% incorrect including 18% → 6.4 and 9% → 6 Texas Education Agency Student Assessment Division October 2016 28 2016 STAAR GRADE 7 MATH GRIDDABLE QUESTIONS 32) At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack? 7.6C — make prediction using experimental data 45% correct answer → 490 55% incorrect including 9% → 70 and 5% → 400 Texas Education Agency Student Assessment Division October 2016 29 2016 STAAR GRADE 7 MATH GRIDDABLE QUESTIONS 38) A refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollars and cents? 7.13A — calculate sales tax 36% correct answer → 31.53 63% incorrect including 5% → 3153 and 4% → 315.3 Texas Education Agency Student Assessment Division October 2016 30 2016 STAAR GRADE 7 MATH GRIDDABLE QUESTIONS 44) What is the value of x in this equation? 2x + 2 = -52 7.11A — solve equation 38% correct answer → -27 62% incorrect including 18% → -25 and 8% → 25 Texas Education Agency Student Assessment Division October 2016 Texas Education Agency Student Assessment Division October 2016 31 PAPER GRADE 8 ONLINE 32 MARCH 2016 STAAR GRADE 8 MATH GRIDDABLE QUESTIONS 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. What is h, the total height in feet of the piece of plywood? 8.7C — Pythagorean theorem 27% correct answer → 14 72% incorrect including 17% → 12 and 13% → 15 Texas Education Agency Student Assessment Division October 2016 33 MARCH 2016 STAAR GRADE 8 MATH GRIDDABLE QUESTIONS 31) The model represents an equation. What value of x makes the equation true? 8.8C — model and solve equations 31% correct answer → 2.25 68% incorrect including 13% → 2 and 7% → 1 Texas Education Agency Student Assessment Division October 2016 34 MARCH 2016 STAAR GRADE 8 MATH GRIDDABLE QUESTIONS 39) The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph of the linear function? 8.4C — determine the y-intercept 57% correct answer → -6 42% incorrect including 5% → -3 and 5% → 6 Texas Education Agency Student Assessment Division October 2016 35 MARCH 2016 STAAR GRADE 8 MATH GRIDDABLE QUESTIONS 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? 8.7B — determine surface area 31% correct answer → 102.16 68% incorrect including 6% → 55.76 and 3% → 23.2 Texas Education Agency Student Assessment Division October 2016 36 GRIDDABLE QUESTIONS FOR STAAR ALGEBRA I • There are five griddable questions on each assessment. • The correct answer can be a positive or a negative number. If the answer is a negative number, students must enter a negative sign. If no sign is marked, the answer will default to a positive number. • The answer grid includes a floating decimal point. If the answer is a decimal number, students must enter a decimal point. Texas Education Agency Student Assessment Division October 2016 37 GRIDDABLE QUESTIONS FOR STAAR ALGEBRA I • Students must enter their answer in the boxes (paper and online) and then fill in the corresponding bubbles (paper only). • Students do not have to use all the boxes and can place their answer in any set of consecutive boxes. • Extra zeros may be filled in (either before or after the answer) as long as their placement does not affect the value of the answer. Texas Education Agency Student Assessment Division October 2016 Texas Education Agency Student Assessment Division October 2016 38 PAPER ALGEBRA I ONLINE 39 MAY 2016 STAAR ALGEBRA I GRIDDABLE QUESTIONS 14) What is the y-intercept of the line graphed on the grid? A.3C — identify y-intercept 68% correct answer → 5.5 32% incorrect including 5% → 6 and 5% → 7 Texas Education Agency Student Assessment Division October 2016 40 MAY 2016 STAAR ALGEBRA I GRIDDABLE QUESTIONS 20) A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase? A.5C — solve systems of equations 47% correct answer → 13 52% incorrect including 10% → 15 and 5% → 12 Texas Education Agency Student Assessment Division October 2016 41 MAY 2016 STAAR ALGEBRA I GRIDDABLE QUESTIONS 27) Given f(x) = 6(1 – x), what is the value of f(-8)? A.12B — evaluate functions 44% correct answer → 54 55% incorrect including 10% → -42 and 3% → -8 Texas Education Agency Student Assessment Division October 2016 42 MAY 2016 STAAR ALGEBRA I GRIDDABLE QUESTIONS 34) The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers. What is the maximum value of g? A.7A — identify the maximum value 75% correct answer → 9 24% incorrect including 5% → 2 and 5% → 8 Texas Education Agency Student Assessment Division October 2016 43 MAY 2016 STAAR ALGEBRA I GRIDDABLE QUESTIONS 42) In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor? A.2D — write and solve equations involving direct variation 58% correct answer → 60 40% incorrect including 5% → 320 and 2% → 40 Texas Education Agency Student Assessment Division October 2016 44 IF YOU HAVE QUESTIONS… Call TEA Student Assessment at 512-463-9536 Email TEA Student Assessment at [email protected] Email TEA Student Assessment Math Team at [email protected] • Julie Guthrie, Director of Math and Science Assessments • Lenny Sanchez, Manager of Math Assessments • Carrie Alexander • Donna Fontenot • Karen Grad • Anne Nappa • Erik Pinter Texas Education Agency Student Assessment Division October 2016
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