Week 2 Morning Work Review Packet
Level Up: NYS 8th Grade Math Launch
Week 2 Morning Work
The Ultimate 7th Grade Math Recall Quest
Student Explorer
Date Started
Mathematics Class
Homeroom Teacher
Your Quest Milestones (Complete 1 Page Each Day)
01
Day 1: Integer Operations & Proportions
Master operations with rational numbers and fractional unit rates.
02
Day 2: Percentages & Two-Step Equations
Practice markups, discounts, multi-step math, and probability scales.
03
Day 3: Circles, Areas & Constant of Proportionality
Calculate circle dimensions and write equations from proportional tables.
04
Day 4: Real-World Rates & Expressions
Compute percent error, long division decimals, and complementary angles.
05
Day 5: Geometry & Random Sampling Methods
Analyze survey fairness, 3D cross-sections, and solve inequalities.
06
Day 6: Surface Area & Compound Events
Find sandbox volumes, spinner probabilities, and coordinate graphs.
07
Day 7: The Grand Finale Synthesis Grid
Conquer fractional linear equations, simple interest, and wildlife proportions.
INSTRUCTIONS: Solve each of the review grids inside this workbook. Every daily block features a balanced distribution of the core 7th Grade NYS standards. Always show your logical work!
Level 01
Day 1: Integer Operations & Proportions
NYS Review Grid Daily Score: _____ / 4
7.NS.1a Rational Operations
Calculate the exact simplified value of the multi-step expression below:
\( -3.5 - \left(-\frac{1}{4}\right) + 1.2 \)
Show logical scratchpad work below:
Answer: _______________________
7.RP.1 Fractional Unit Rates
Elena jogs \(2\frac{1}{4}\) miles in exactly \(\frac{3}{8}\) of an hour. Calculate her average speed in miles per hour.
Show logical scratchpad work below:
Answer: _______________________
7.EE.1 Equivalent Expressions
Simplify the following expression by expanding and combining all like terms:
\( -4(2x - 3) + \frac{1}{2}(6x - 8) \)
Show logical scratchpad work below:
Answer: _______________________
7.G.1 Scale Drawings
On a scale drawing of a rectangular playground, the dimensions are \(6\text{ cm}\) by \(4.5\text{ cm}\). The map scale is \(1\text{ cm} = 12\text{ meters}\). Calculate the actual area of the park.
Show logical scratchpad work below:
Answer: _______________________
Level 02
Day 2: Percentages & Two-Step Equations
NYS Review Grid Daily Score: _____ / 4
7.RP.3 Percent Markups & Discounts
A store buys headphones for \(\$30\) and marks up the price by \(60\%\). During a sale, she offers a \(20\%\) discount on the marked-up price. Determine the holiday sale price of the headphones.
Show logical scratchpad work below:
Answer: _______________________
7.NS.2c Signed Decimal Application
A diver is diving at an elevation of \(-18.4\text{ feet}\) relative to sea level. He descends further to a depth that is \(3.5\) times his starting elevation. What is the diver's new elevation?
Show logical scratchpad work below:
Answer: _______________________
7.EE.4a Equation Operations
Solve the algebraic equation below. Show each step of your balancing work clearly:
\( 3.5x - 7.2 = 13.8 \)
Show logical scratchpad work below:
Answer: _______________________
7.SP.5 Compound Probability Scale
A container holds 8 red, 5 blue, and 7 green beads. If one bead is randomly drawn, what is the probability that it is NOT green? Express as a fraction, decimal, and percent.
Show logical scratchpad work below:
Answer: _______________________
Level 03
Day 3: Circles, Areas & Proportionality
NYS Review Grid Daily Score: _____ / 4
7.RP.2b Proportional Constants
A vehicle travels at a constant speed. The table below exhibits the distance covered, \(y\) (miles), over time, \(x\) (hours).
| Hours (\(x\)) | Miles (\(y\)) |
|---|
| 3 | 195 |
| 5 | 325 |
Determine the constant \(k\), and write the proportional equation.
Show logical scratchpad work below:
Equation: ____________________
7.EE.4b Inequality Sign Reversal
Solve the inequality below. Represent the final inequality state and sketch the solution path on the number line provided.
\( -3x + 8 \ge 29 \)
<----|----|----|----|----|----|---->
Show logical scratchpad work below:
Answer: _______________________
7.G.4 Circumference & Area
A circular trampoline has a diameter of \(14\text{ feet}\). Find the circumference and the area. Round answers to the nearest tenth. (Use \(\pi \approx 3.14\))
Show logical scratchpad work below:
C: ___________ / A: ___________
7.SP.8 Sample Spaces & Compound Events
A fair coin is flipped, and a standard 6-sided die is rolled. Draw a tree diagram or construct the entire sample space. What is the probability of flipping Heads and rolling an odd number?
Show logical scratchpad work below:
Probability: __________________
Level 04
Day 4: Real-World Rates & Expressions
NYS Review Grid Daily Score: _____ / 4
7.RP.3 Percent Error Estimation
A theatrical analyst estimated that 120 parents would attend the school play. The actual attendance was 145 parents. Calculate the percent error of the estimation. (Round to the nearest tenth of a percent).
Show logical scratchpad work below:
Answer: _______________________
7.NS.2d Long Division Decimals
Convert the fraction \(\frac{5}{12}\) into a decimal using long division on your grid. Is the resulting decimal terminating or repeating?
Show logical scratchpad work below:
Answer: _______________________
7.EE.4a Equations Modeling
A fitness club membership costs \(\$25\) per month plus a flat registration fee of \(\$45\). Marcus spent a grand total of \(\$220\). Setup and solve an equation to calculate the number of months, \(m\), he has been a member.
Show logical scratchpad work below:
Equation: ____________________
7.G.5 Angle Relationships
Two angles are supplementary. Angle A measures \((3x - 10)^\circ\) and Angle B measures \((2x + 15)^\circ\). Set up an algebraic equation, solve for \(x\), and find the measure of both angles.
Show logical scratchpad work below:
A: _________ / B: _________
Level 05
Day 5: Geometry & Random Samples
NYS Review Grid Daily Score: _____ / 4
7.SP.1 Representative Sampling
A principal wants to find out if students support changing the mascot. Which survey method is most representative?
A) Ask the first 50 gym arrivals.
B) Survey 10 random pupils per homeroom.
C) Ask student council members.
Briefly explain your choice.
Explain selection & why others fail:
Method Choice: ________________
7.NS.3 Rational Multiplication
Evaluate the multi-step product. Express your final solution as a fully simplified proper fraction or mixed number.
\( \left(-\frac{5}{6}\right) \times \left(1\frac{1}{5}\right) \div \left(-\frac{2}{3}\right) \)
Show logical scratchpad work below:
Answer: _______________________
7.EE.4b Inequalities modeling
Sarah wants to buy a hand-held gaming console that costs \(\$240\). She has saved \(\$60\) and plans to save \(\$15\) each week. Write and solve an inequality to find the minimum number of weeks, \(w\), Sarah needs to save.
Show logical scratchpad work below:
Inequality: __________________
7.G.3 Slicing 3D Solids
A right rectangular pyramid sits on a table. Describe the exact two-dimensional geometric shapes that result from the following slices:
Horizontal slice (parallel to the base):
Vertical slice (perpendicular to base, passing through apex):
Keep up the awesome work!
Level 06
Day 6: Surface Area & Compound Probability
NYS Review Grid Daily Score: _____ / 4
7.RP.2d Proportional Graphs
The graph of a proportional relationship passes through the origin \((0,0)\) and the coordinates \((4, 240)\). What is the constant of proportionality, \(k\)? What specific real-world rate does the coordinate point \((1, r)\) represent on this graph?
Show logical scratchpad work below:
\(k\) = _______ / Meaning: ____________
7.G.6 Volume & Cost Pricing
A rectangular sandbox is \(8\text{ feet}\) long, \(5\text{ feet}\) wide, and \(1.5\text{ feet}\) deep. If sand costs \(\$3\) per cubic foot, how much money does it cost to fill the sandbox completely with sand?
Show logical scratchpad work below:
Cost: _______________________
7.SP.7b Independent Compound Spins
A spinner has 5 equal sectors labeled A, B, C, D, and E. If you spin the spinner twice, calculate the theoretical probability of spinning a vowel on both spins. (Vowels are A, E).
Show logical scratchpad work below:
Probability: __________________
7.NS.1d Temperature Changes
The outdoor thermometer temperature at 6:00 AM read \(-8^\circ\text{F}\). By noon, the temperature rose by \(15^\circ\text{F}\). By 6:00 PM, it fell by \(9^\circ\text{F}\). Calculate the final temperature at 6:00 PM.
Show logical scratchpad work below:
Answer: _______________________
Level 07
Day 7: Finale - Synthesis Grid
NYS Review Grid Daily Score: _____ / 4
7.EE.4a Fractional Coefficients
Solve the following algebraic equation. Show all steps to isolate variable \(y\) completely:
\( \frac{2}{3}y - 5 = \frac{1}{6}y + 4 \)
Show logical scratchpad work below:
Answer: _______________________
7.RP.3 Simple Interest
Liam borrows \(\$1,200\) from a bank at a simple interest rate of \(4.5\%\) per year. Calculate the total sum of money (principal plus interest) he owes after \(3\) years.
Show logical scratchpad work below:
Answer: _______________________
7.G.6 Volume of Triangular Prisms
A triangular prism has a base that is a right triangle with base of \(6\text{ cm}\) and height of \(8\text{ cm}\). The length (depth) of the prism is \(12\text{ cm}\). Determine the total volume.
Show logical scratchpad work below:
Volume: ______________________
7.SP.2 Population Estimations
A biologist tags and releases 40 fish into a pond. A week later, she catches 100 fish from the same pond and discovers that 8 are tagged. Estimate the total population of fish in the pond.
Show logical scratchpad work below:
Population: __________________
