Grade 7-Unit 2 Assessment Items

Transcription

1 rade 7-Unit 2 ssessment Items

2 rade 7-Unit 2 ssessment nswer Key ## Item Title orrect nswer Primary SE Secondary SE Reporting ategory lick here to collapse or expand this section. 1 M SR TRS D 7.10 [S] D 2 M SR TRS 7.10 [S] D 3 M SR TRS 7.10 [S] 7.1D 4 M SR TRS 7.10 [S] 7.1D 5 M SR TRS 7.10 [S] D 6 M SR TRS 7.10 [S] D 7 M R TRS See rubric below 7.11 [R] 7.1D 8 M NR TRS [R] page 2 of 21

3 ## Item Title orrect nswer Primary SE Secondary SE Reporting ategory 9 M SR TRS 7.11 [R] 10 M SR TRS 7.11 [R] 11 M SR TRS D 7.11 [R] 12 M R TRS See rubric below 7.11 [S] M SR TRS 7.11 [S] M SR TRS 7.11 [S] 15 M SR TRS 7.11 [S] 16 M SR TRS 7.11 [S] R3M 17 M SR TRS 7.11 [S] R3M 18 M SR TRS 7.11 [S] R3M 19 M D.R TRS See rubric below 7.13D [S] R4DPL 20 M D.SR TRS 7.13D [S] 7.1 R4DPL page 3 of 21

4 ## Item Title orrect nswer Primary SE Secondary SE Reporting ategory 21 M D.SR TRS 7.13D [S] 7.1 R4DPL 22 M D.SR TRS 7.13D [S] 7.1 R4DPL 23 M E.R TRS See rubric below 7.13E [S] R4DPL 24 M E.SR TRS 7.13E [S] R4DPL 25 M E.SR TRS 7.13E [S] R4DPL 26 M E.SR TRS 7.13E [S] R4DPL 27 M SR TRS 7.13 [S] 7.1 R4DPL 28 M SR TRS 7.13 [S] R4DPL Key for dditional Questions: 7 Score Range: 0-2 page 4 of 21

5 Rubric: Score Description 2 Student correctly modeled the equation with a concrete or pictorial model, correctly modeled the solution process to find the value of x that makes the equation true, and confirmed the solution algebraically. The response shows a full understanding of the mathematical concepts applicable to the task. Part Student may represent their solution using either a concrete or pictorial model. Sample Response: Part Student may represent their solution using either a concrete or pictorial model. Sample Response: Part 5(4) 3 = = = 17 1 Student correctly modeled the equation with a concrete or pictorial model and correctly modeled the solution process to find the value of x that makes the equation true but incorrectly confirmed their solution algebraically. OR page 5 of 21

6 Score Description Student correctly determined their solution algebraically but incorrectly modeled the equation with a concrete or pictorial model and incorrectly modeled the solution process to find the value of x that makes the equation true. The response shows a limited understanding of the mathematical concepts applicable to the task. 0 Student incorrectly modeled the equation with a concrete or pictorial model, incorrectly modeled the solution process to find the value of x that makes the equation true, and incorrectly confirmed their solution algebraically. The response shows little to no understanding of the mathematical concepts applicable to the task. 12 Score Range: 0-2 Rubric: Score Description 2 Student solves the problem correctly and their work adequately explains their solution process. The response shows a full understanding of the mathematical concept(s) applicable to the task. Sample Response: Substitute 18 for g in the equation 15g + 90 = (18) + 90 = = It will cost shleigh $360 for 18 guests; therefore, shleigh does not have enough money to invite 18 guests. 1 Student solves the problem correctly but provides little to no work to explain their solution process. OR Student solves the problem incorrectly due to a minor computation error but their work shows an understanding an an appropriate solution process. The response shows a limited understanding of the mathematical concept(s) applicable to the task. 0 Student did not solve the problem correctly and provides little to no work to explain their solution process. The response shows little to no understanding of the mathematical concept(s) applicable to the task. page 6 of 21

7 19Score Range: 0-2 Rubric: Score Description 2 Student correctly determines the minimum amount of money Maria must earn to meet the requirements of the budgets in each location, correctly determines the annual salary of each management position, and explains their reasoning for which location the Salazar family should move to. The response shows a full understanding of the mathematical concept(s) applicable to the task. Sample Response: Part Minimum budget for Tiny Town: $3, = $36,600 Minimum budget for Metro ity: $3, = $45,000 Part nnual teaching salary for Tiny Town: $ = $37,680 nnual teaching salary for Metro ity: $ = $42, 480 Part The Salazar family should move to Tiny Town since the annual salary for a manager in Tiny Town is greater than the expected budget for Tiny Town. The Salazar family should not move to Metro ity because the annual salary for a manager in Metro ity is less than the expected budget for Metro ity. 1 Student correctly determines the minimum amount of money Maria must earn to meet the requirements of the budgets in each location and correctly determines the annual salary of each management position but does not explain their reasoning for which location the Salazar family should move to. OR Student correctly determines the minimum amount of money Maria must earn to meet the requirements of the budgets in each location, incorrectly determines the annual salary of each managment position, and explains their reasoning for which location the Salazar family should move to based on the erroneous calculation. OR Student correctly determines the annual salary of each management position, incorrectly determines the minimum amount of money Maria must earn to meet the requirements of the budgets in each location, and explains their reasoning for which location the Salazar family should move to based on the erroneous calculation. The response shows a limited understanding of the mathematical concept(s) applicable to the task. 0 Student incorrectly determines the annual salary of each management position, incorrectly determines the minimum amount of money Maria must earn to meet the requirements of the budgets in each location, and does not explain their reasoning for which location the Salazar family should move to. The response shows little to no understanding of the mathematical concept(s) applicable to the task. page 7 of 21

8 23Score Range: 0-2 Rubric: Score Description 2 Student correctly determines and compares the interest earned for each fund and their work adequately shows their solution process. The response shows a full understanding of the mathematical concept(s) applicable to the task. onventional Equity und I = Prt I = 2, I = $400 onfident Real Properties und I = Prt I = 1, I = $375 The onventional Equity und will yield the greater interest earnings after 5 years. 1 Student correctly determines and compares the interest earned for each fund but their work does not adequately show their solution process. OR Student determines and compares the interest earned for each fund and their work demonstrates an understanding of calculating and comparing simple interest earnings but they make a slight error in computation. The response shows a limited understanding of the mathematical concept(s) applicable to the task. 0 Student incorrectly determines and compares the interest earned for each fund and their work does not adequately show their solution process. The response shows little to no understanding of the mathematical concept(s) applicable to the task. page 8 of 21

9 ssessment Item(s): 1 lyssa read 25 pages of a new book the first day she bought it. fter the first day, she read 5 pages a day. If the book was 350 pages, which equation can be used to determine how many days it will take lyssa to finish her book? D 5x = 350 5x 25 = x + 5 = 350 5x + 25 = Kathy works at a warehouse packing boxes. er job is to place p items that each weigh 2 kg into a wooden box that weighs 1 kg. If Kathy can lift a weight of up to 10 kg, which inequality represents condition the number of items Kathy can place in each box and still be able to lift the box? p p p p n equation in one variable is shown below. 6x + 10 = 8 Which number line represents the solution for this equation? D page 9 of 21

10 4 n inequality in one variable is shown below. 8 2x < 18 Which number line represents the solution set for the inequality? 5 n equation in onevariable is shown below x = 26 Which problem situation could represent the equation? D carnival charges $6 to park plus $0.50 per ride ticket. ow many carnival rides can a person ride at the carnival if they spend a total of $26 at the carnival? person downloaded an app for their phone that cost $6 plus some songs that cost $0.50 each. ow much did the person pay for the app and songs if they download 26 songs? dog-walking service charges $6 for each hour walking plus $0.50 for each dog. ow many hours could a dog be walked for $26? Sara earns $6.50 an hour babysitting. ow long will Sara need to babysit in order to earn $26? page 10 of 21

11 6 n inequality in one-variable is shown below. 2x Which problem situation could represent the inequality? fence is in the shape of an isosceles triangle. The fence is at least 14 yards long. The length of the unequal side of the triangle is 4 yards. What is the length of each equal side? There are two pencil boxes in a desk drawer. There are also 4 loose pencils in the drawer. The total number of pencils in the drawer is more than 14. ow many pencils are in each pencil box? Three teams were formed with 14 students. Team 1 has 4 students and teams 2 and 3 have the same number of students. ow many students are there in teams 2 and 3? Sheyla is older than 14 years. er brother Tom is 4 years old. She also has twin sisters, Diana and riana. ow old is each of the twin sisters? 7 n equation is shown below. 5x 3 = 17 Part Model the equation using either a concrete or pictorial model. Part Use the model to determine the value of x that makes the equation true. Part Solve the equation algebraically to confirm your solution. page 11 of 21

12 8 The model below represents and equation. What value of x makes the equation true? Record your answer and fill in the bubbles on your answer document. e sure to use the correct place value. 9 n equation is shown below. 2 3x = 8 Which of the following shows a model of the equation and the value of x that makes the equation true? D Not here page 12 of 21

13 10 n inequality is shown below. 3x + 2 > 1 Which of the following shows a model of the inequality and the values of x that make the inequality true? 11 n inequality in one variable is shown below. What values of x make the inequality true? D x 15.6 x 15.6 x 15.6 x 15.6 page 13 of 21

14 12 shleigh is planning a birthday party at a restaurant. She has to pay $15 per guest plus $90 for the restaurant s party room fee. She has $270 to pay for the party. The equation 15g + 90 = 270 represents the cost of the party, where g is the number of guests shleigh can invite. Determine if shleigh has enough money to invite 18 guests to her party. Explain your solution process. 13 The school librarian has a budget of $715 to spend on books. She orders from a company that charges $8 per book, plus a $75 shipping fee per order. The librarian uses the inequality below, where b represents the number of books ordered, to determine if she has enough money to place an order for a specific number of books. 8b The librarian already had a list of 50 books she wanted to order and planned to add more books to her final order. Will the librarian have enough money to add 45 more books to her final order? D Yes, because 8(50) No, because 8(95) + 75 > 715 Yes, because 8(45) No, because (8(50) + 75) + (8(45) + 75) > Which equation is true when the value of x is 8? x + 17 = 13 3x + 20 = 44 x 6 = 10 2x + 11 = 5 page 14 of 21

15 15 Which inequality is true when the value of x is? D 2 < 3x x x 2 > 1 15x triangle has angles that measure 54.6 and Which equation can be used to find the value of x, the measure of the third angle in the triangle? x = 360 x = ( ) x = x = diagram of angle 1, angle 2, and angle 3 is shown below. If the measure of angle 3 is 155, which equation can be used to determine x, the measure of angle 1, in degrees? D x = x = x = 90 ( ) x = 90 + ( ) page 15 of 21

16 18 rectangle is shown below. If the measure of angle 4 is 66.8, which of the following is not true? Since the base angles of an isosceles triangle are congruent, then m 5 m 4. Therefore, m 11 = 180. So, m 11 = Since angle 11 and angle 12 are supplementary angles, then m 11 + m 12 = 180. Therefore, the angle formed by angle 11 and angle 12 is a straight angle. Since m 4 = 66.8 and the figure is a rectangle, then m 3 = 90. Therefore, m 3 = Since angle 10 and angle 12 are vertical angles, their angle measures are congruent and are always supplementary. Therefore, m 10 + m 12 = 180. So, m 10 = 90 and m 12 = 90. page 16 of 21

17 19 Maria Salazar is a single parent with three children and is considering moving her family to either Metro ity, TX or Tiny Town, TX. The data sets below are taken from a family budget estimator and represent the cost of living for the two locations being considered. Maria is an office manager and is considering a management position in either Tiny Town or Metro ity. The management position in Tiny Town has a weekly salary of $785, and the management position in Metro ity has a weekly salary of $885. Part What is the miminum amount of money Maria must earn to meet the requirements of each location s budget for one year? Part What is the annual salary of the management position in Tiny Town and the annual salary of the management position in Metro ity? Part Of the two cities being considered, which city should the Salazar family move to? Explain you reasoning. page 17 of 21

18 20 The data in the table was taken from a family budget estimator for a one-parent family with two children living in Dallas, Texas. Monthly amily udget Expense mount ousing $1200 ood $875 hild are $950 Transportation $615 ealth are $1,165 Other Necessities $550 Taxes $340 Monthly Total $5,695 The father works 40 hours per week. ssuming a month has four weeks, which equation can be used to determine w, the father s minimum hourly wage needed to meet the family s estimated minimum monthly budget? w = w = w = w = The data in the table was taken from a family budget estimator for a two-parent family with two children living in San ntonio, Texas. The father earns $2,194 a month, and the mother works 40 hours per week. ssuming a month has four weeks, what minimum hourly wage does the mother need to meet the family s estimated minimum monthly budget? $13.71 per hour $18.30 per hour $32.01 per hour D $73.20 per hour page 18 of 21

19 22 The monthly budget for a two-adult family living in El Paso, TX is shown below. Monthly amily udget Expense mount ousing $1,120 ood $800 Utilities $145 hild are $756 Transportation $596 ealth are $172 Insurance $466 Entertainment $200 Savings $150 oth adults in the family work and earn the same amount in wages. Which equation can be used to determine x, the minimum amount each adult must earn to meet the requirements of this budget for one year? x = 4, x = 4, Roberta has $3,000 to deposit in an investment account. She deposits $2,000 in the onventional Equity und and $1,000 in the onfident Real Properties und. The onventional Equity und guarantees a simple interest of 4% that will be paid upon withdrawal. The onfident Real Properties und will pay an simple interest rate of 7.5% that will be paid upon withdrawal. Which fund will yield the greater interest earnings after 5 years? Show all work to justify your answer. page 19 of 21

20 24 anice wants to invest $1,000. Texas Loan & redit will offer anice a simple interest rate of 6% that is paid upon withdrawal. Pecan & edar Savings ank will offer anice an interest rate of 3% that is compounded annually. Which bank will yield better interest earnings after investing $1,000 for 2 years? Texas Loan & redit, because anice will earn $60 in interest upon withdrawal. Pecan & edar Savings ank, because anice will earn $1, in interest upon withdrawal. Texas Loan & redit, because anice will earn $59.10 more in interest than Pecan & edar Savings ank upon withdrawal. Pecan & edar Savings ank, because anice will earn $ more in interest than Texas Loan & redit upon withdrawal. 25 Victor and his sister have both been saving money to help pay for college. Victor deposited $750 at a local bank 3 years ago, earning a simple interest rate of 4% paid upon withdrawal. is sister deposited $800 at a local bank 3 years ago, earning a simple interest rate of 3% paid upon withdrawal. Which statement best describes how much interest Victor earned compared to how much interest his sister earned after 3 years? D Victor earned $6 more in interest than his sister, because Victor earned $30 in interest and his sister earned $24 in interest. Victor earned $6 less in interest than his sister, because Victor earned $90 in interest and his sister earned $96 in interest. Victor earned $18 more in interest than his sister, because Victor earned $90 in interest and his sister earned $72 in interest. Victor earned $28.50 more in interest than his sister, because Victor earned $96 in interest and his sister earned $67.50 in interest. 26 Emma hired a stockbroker that offered an annual compound interest rate of 20% on her investment. ow much more will the value of a $10,000 investment be worth if she chooses to invest her money for 3 years instead of 2 years? $14, $2, $17, $2, page 20 of 21

21 27 Michelle wants to buy a new phone. There are several stores that sell the phone she wants, and each store offers a different discount. The information on each store s discount offer for the phone Michelle wants to buy is summarized in the table. Store Price Discount ig Town Electronics $120 10% off entral Phones $120 $10 off Main Street Mobile $160 30% off Phone orum $125 $16 off Wireless Inc. $110 No discount t which store would Michelle s total cost be the least after the discount? D ig Town Electronics Wireless Inc. Main Street Mobile Phone orum 28 hris is buying the list of items at a local store as shown in the table below. Item Price Picture rame $8 Shirt $15 ook $10 acket $35 hris has a coupon that allows him to choose which discount he wants to use. Option 1: 10% off his entire purchase Option 2: 15% off one item Which statement best explains which discount option will allow hris to spend the least amount of money for his total purchase, not including sales tax? Option 1, because his total cost will be $ Option 1, because his total cost will be $ Option 2, because his total will be $ Option 2, because his total will be $ page 21 of 21