Morning Work Cover Page State Test Prep
MORNING
WORK
5-Day Mixed Math Review Blueprint
Engineer Name
Target Score
STRATEGY FIRST
Read. Plan. Execute.
GRADES 5-8
MATH MASTERY PACKET
Day 1 Number Navigation Worksheet Day 1: Number Navigation
PHASE 1: THE NUMBER SYSTEM & OPERATIONS
Gr 5-8 BP 01
NAME: _________________________
Fluency Check
\( \displaystyle 1.25 \times 0.8 \)
\( \displaystyle \frac{3}{4} + \frac{5}{6} \)
\( \displaystyle -15 + (-8) - (-4) \)
Power & Roots
\( \displaystyle 4^3 \)
\( \displaystyle \sqrt{144} \)
\( \displaystyle 10^{-2} \)
1. The Blueprint Budget
An architect is buying supplies. Pens cost $2.45 each and blueprints cost $5.50 each. If she buys 12 pens and 4 blueprints, and pays with a $100 bill , how much change will she receive?
Show Your Work
Final Change:
2. Categorize
Circle all IRRATIONAL numbers:
\( \displaystyle \sqrt{2} \)
\( \displaystyle \frac{1}{3} \)
\( \displaystyle \pi \)
\( \displaystyle 0.75 \)
\( \displaystyle \sqrt{25} \)
\( \displaystyle 1.414... \)
3. Ordering Ops
Least to Greatest:
\( \displaystyle -2.5, \quad 0, \quad -2 \frac{3}{4}, \quad 1.2, \quad -2.05 \)
"Mathematics is not about numbers, equations, or algorithms: it is about understanding." Blueprint Day 1
Day 2 Expression Evolution Worksheet Day 2: Expression Evolution
PHASE 2: EXPRESSIONS, EQUATIONS, & INEQUALITIES
Gr 5-8 BP 02
NAME: _________________________
Simplify Expressions
\( \displaystyle 3(2x + 5) - 4x \)
Work
\( \displaystyle 2y^2 + 3y - 5y + y^2 \)
Work
Solve for \( x \)
\( \displaystyle 2x + 10 = 24 \)
\( x = \) ______
\( \displaystyle \frac{x}{4} - 3 = 5 \)
\( x = \) ______
\( \displaystyle -5x = 45 \)
\( x = \) ______
1. The Fitness Fee
A gym charges a sign-up fee of $45 and a monthly fee of \( m \) . After 6 months, Leo has paid $225 . Find the monthly fee.
Equation
Work & Solution
2. Inequality Investigation
Solve and graph: \( \displaystyle -3x + 7 < 19 \)
Algebra Steps
Final: ______________
Number Line Graph
-8
-6
-4
-2
0
"Variables are just placeholders for a truth waiting to be found." Blueprint Day 2
Day 3 Ratio Revolution Worksheet Day 3: Ratio Revolution
PHASE 3: RATIOS, PROPORTIONS, & PERCENTS
Gr 5-8 BP 03
NAME: _________________________
Rates & Ratios
Find Unit Rate: 120 miles in 2.5 hours.
mph
Equivalent Ratio: \( 3:8 = x:40 \)
\( x = \)
Percent Power
15% of 60
40 is what % of 80?
Increase 50 by 20%
1. The Discount Dilemma
A bag costs $120 . It is 25% off . After the discount, a 5% sales tax is added. What is the final price?
Sale Price
Tax Amount
Final Total
2. Constant of Proportionality
Time (h) Pay ($) 2 30 5 75 8 120
k =
3. Scale Drawing
Scale: 1 inch = 15 miles. Map distance: 4.5 inches.
Actual Miles: ______
"Life is a ratio; how much you put in versus how much you get out." Blueprint Day 3
Day 4 Geometric Giants Worksheet Day 4: Geometric Giants
PHASE 4: GEOMETRY, AREA, VOLUME, & ANGLES
Gr 5-8 BP 04
NAME: _________________________
2D Calculations
Area of Triangle (\( b=10, h=6 \))
Ans: ________
Circumference (\( d=8, \pi = 3.14 \))
Ans: ________
3D Volume
Rect. Prism (\( 4 \times 5 \times 10 \))
Ans: ________
Cylinder (\( r=3, h=10, \pi = 3.14 \))
Ans: ________
1. The Floor Plan
Find the total area of the composite figure described below:
Room Layout Sketch
8ft
6ft
4ft
4ft
Work Space
Total Area: ________ \( \text{ft}^2 \)
2. Angle All-Stars
Complementary to \( 35^\circ \): ______°
Supplementary to \( 110^\circ \): ______°
Vertical to \( 42^\circ \): ______°
3. Coordinate Shifts
Point A: \( (3, -2) \)
Reflect over y-axis (______, ______)
Translate 4 units up (______, ______)
"Geometry is knowledge of the eternally existent." Blueprint Day 4
Day 5 Data Detectives Worksheet Day 5: Data Detectives
PHASE 5: STATISTICS, PROBABILITY, & FINAL CHALLENGE
Gr 5-8 BP 05
NAME: _________________________
Central Tendency
Set: {12, 15, 18, 12, 23}
Mean (Average):
Median (Middle):
Mode (Frequent):
Probability
P(Rolling a prime number on a 6-sided die)
P(Pulling a Red King from a deck of 52)
1. Box-and-Whisker Breakdown
Scores (8-20 scale): Min 8, Q1 12, Med 15, Q3 18, Max 20.
8
12
15
18
20
Range: __________
IQR (Q3 - Q1): __________
Final Challenge
2. The Final Blueprint
A cylindrical tank has a radius of 4m and a height of 10m . If it is 75% full , what is the volume of the water? (\( \pi = 3.14 \))
Solve Here
Final Volume: \( \text{m}^3 \)
"The goal is not to be perfect, but to be better than you were yesterday." Blueprint Day 5
Morning Work Answer Keys Full Answer Keys: Days 1-5
Day 1: Number Navigation
Fluency & Powers:
\( \displaystyle 1.25 \times 0.8 = 1 \)
\( \displaystyle \frac{3}{4} + \frac{5}{6} = \frac{19}{12} \text{ or } 1 \frac{7}{12} \)
\( \displaystyle -15 + (-8) - (-4) = -19 \)
\( \displaystyle 4^3 = 64 \)
\( \displaystyle \sqrt{144} = 12 \)
\( \displaystyle 10^{-2} = 0.01 \)
Application Problems:
1. Budget: $48.60
2. Categorize: \( \displaystyle \sqrt{2}, \pi, 1.414... \)
3. Order: \( \displaystyle -2 \frac{3}{4}, -2.5, -2.05, 0, 1.2 \)
Day 2: Expression Evolution
Algebra Skills:
\( \displaystyle 3(2x + 5) - 4x = 2x + 15 \)
\( \displaystyle 2y^2 + 3y - 5y + y^2 = 3y^2 - 2y \)
\( \displaystyle 2x + 10 = 24 \rightarrow x = 7 \)
\( \displaystyle \frac{x}{4} - 3 = 5 \rightarrow x = 32 \)
\( \displaystyle -5x = 45 \rightarrow x = -9 \)
Application Problems:
1. Fitness: Equation: \( \displaystyle 45 + 6m = 225 \); Monthly Fee: $30
2. Inequality: \( \displaystyle -3x < 12 \rightarrow x > -4 \). Open circle at -4, shade right.
Day 3: Ratio Revolution
Rates & Percents:
Unit Rate: 48 mph
Equivalent Ratio: \( x = 15 \)
15% of 60 = 9
40 is 50% of 80
Increase 50 by 20% = 60
Application Problems:
1. Discount: Sale $90, Tax $4.50, Total $94.50
2. Constant: \( k = 15 \) ($15/hour)
3. Scale: 67.5 miles
Day 4: Geometric Giants
Calculations:
Triangle Area: 30 \(\text{sq units}\)
Circumference: 25.12 \(\text{units}\)
Prism Volume: 200 \(\text{cubic units}\)
Cylinder Volume: 282.6 \(\text{cubic units}\)
Application Problems:
1. Floor Plan: Total Area: 64 \(\text{ft}^2\)
