Instructional Week 8: February 22-26
Grade 7 ISTEP+
Focus Topic: Spiral Review
Assessed Standards:
7.C.6: Use proportional relationships to solve ratio and percent problems with multiple operations, such
as the following: simple interest, tax, markups, markdowns, gratuities, commissions, fees, conversions
within and across measurement systems, percent increase and decrease, and percent error.+
7.AF.2: Solve equations of the form px + q= r and p(x + q) = r fluently, where p, q, and r are specific
rational numbers. Represent real-world problems using equations of these forms and solve such
problems.+
7.GM.6: Solve real-world and other mathematical problems involving volume of cylinders and threedimensional objects composed of right rectangular prisms. +
7.AF.9: Identify real-world and other mathematical situations that involve proportional relationships.
Write equations and draw graphs to represent proportional relationships and recognize that these
situations are described by a linear function in the form y = mx, where the unit rate, m, is the slope of the
line.
PS: 1, 2, 3, 4, 5, 6, 7, and 8 +
Process Standards to Emphasize with Instruction
PS.1: Make sense of problems and persevere in solving them.
PS.2: Reason abstractly and quantitatively.
PS.3: Construct a viable argument and critique the reasoning of others.
PS.4: Model with mathematics.
PS.5: Use appropriate tools strategically.
PS.6: Attend to precision.
PS.7: Look for and make use of structure.
PS.8: Look for and express regularity in repeated reasoning.
Data
Analyze your classroom data from the weekly assessments and Acuity tests to determine where students are
struggling and why. Use the resources in the ISTEP+ plan, the resource documents, and online resources to
implement a new teaching plan.
Assessment
This week’s assessment is longer and is intended to take 45-50 minutes. The assessment is written in the
format of Applied Skills Part 1. Students should use a calculator and the ISTEP+ Mathematics Reference
Sheet Grade 7, which is attached on the last page of this plan. It is important to simulate the testing
environment in class to help prepare the students for ISTEP Applied Skills Part 1. The four standards
chosen for the assessment this week are either critical or important standards.
Instructional Week 8 Assessment
ISTEP+ Grade 7
Name______________________________
(7.AF.2) 1. Eli collects comic books. He already has 22 comics in his collection. His goal is to have 100 comic books. He
has a part-time job working at Rocco’s Pizza Shop that allows him to purchase 6 comic books per week.
Part A: Write an equation that can be used to determine the number of weeks, w, it will take Eli to reach his
goal of 100 comic books. Be sure and define your variable in your equation.
Define the variable___________________________________________________________
Equation___________________________________________________________________
Part B: How many weeks will it take Eli to reach his goal?
Show all work
Answer_______________weeks
Part C: If Eli wants to reach his goal 5 weeks sooner, how many comic books must he buy each week? Explain.
Show all work
Answer _____________________comic books
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
(7.GM.6) 2. Corey is making models of each letter of the alphabet. He is currently working on the letter H.
Part A: What is the volume, in cubic centimeters, of the model of the letter H?
Show all work
Answer:_______________________cm3
Part B: Corey wants to paint his model blue. How many square centimeters will he paint?
Show all work
Answer:_____________________________cm2
(7.AF.9) 3. Julianna participated in a walk-a-thon to raise money for cancer research. She recorded the total distance she
walked at several different points in time, but a few of the entries got smudged and can no longer be read. The
times and distances that can still be read are listed in the table below.
Part A: Assume Julianna walked at a constant speed. Complete the table and plot Julianna’s progress in the
coordinate plane. Be sure and label the graph.
Times in hours
1
2
Miles walked
6.4
8
5
Part B: What was Julianna’s walking rate in miles per hour? How long did it take Julianna to walk one mile?
Round to the nearest hundredth place.
Show all work
Hourly Rate:_______________miles per hour
Time to walk one mile:_______hours
Part C: Write an equation for the distance d, in miles, that Julianna walked in n hours.
Equation:_______________________
Part D: Next year Julianna is planning to walk for seven hours. If she walks at the same speed next year, how
many miles will she walk?
Show all work
Answer:________________miles
(7.C.6) 4. The Rodriguez family went to dinner at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a
meal for $7.50: the two children ordered individual pizzas for $4.99 each. The sales tax rate was 7.25%.
Part A: What is the amount of the sales tax? What is the total bill before the tip is
calculated? Round to nearest cent.
Show all work
Sales Tax:$_________________________
Total bill before tip:$____________________
Part B: If Mr. Rodriguez left a 15% tip, how much was the tip? Round to nearest cent.
Show all work
Amount of tip:$__________________
Part C: How much is the Rodriguez’s total bill? Round to nearest cent.
Show all work
Total Bill:$_____________________
Part D: Is your answer reasonable? Explain.
__________________________________________________________________________________________
__________________________________________________________________________________________
Instructional Week 8 Assessment Key
ISTEP+ Grade 7
(7.AF. 2)1. 6 points total;2 points each
Part A: Define the variable – Let w = number of weeks Eli works
Equation - 100=22 + 6w
Part B: 13 weeks
Part C: 10 comic books.
Explain- If Eli works 9 weeks he will only have collected 94 comic books. Therefore he must work 10
week so that he has collected 100 comic books.
(7.GM.6) 2. 4 points total;2 points each
Part A:44 cm3
Part B: 104 cm2
(7.AF.9) 3. 2 points each
Part A
Times in hours
1
2
2.5
5
Miles walked
3.2
6.4
8
16
Part B: Hourly Rate is 3.2 miles in one hour
0.31 hour to walk one mile
Part C: d = 3.2n
Part D: 22.4 miles
(7.C.6) 4. 8 points total. 2 points each
Part A: Sales Tax: $1. 72
Total Bill before tax: $25.45
Part B: Amount of Tip: $3.82
Part C: Total Bill : $29.27
Part D: The total of $29.27 is a reasonable amount for dinner for four. The amount of tax is only $1.72 and tip
of $3.82 is much less than the total of the four meals of $23.73. Answers may vary.
All constructed response problems will be graded using the ISTEP+ Content Rubric.