5. [6.SP.5.b] Data
What is the range of the following data: {10, 22, 15, 8, 30}?
Which topic felt the strongest this week?
Which standard do I need to review more?
5
[6.NS.8] Coordinate Quadrants
In which quadrant would you find the point (-4, 7)? Draw a quick sketch to prove it.
Spiral Review: Week 2 • Wednesday (Front)
Wednesday: Part I
1
[6.RP.3] Proportions
A construction recipe calls for 2 cups of additive for every 3 batches of concrete. How many cups of additive are needed for 12 batches?
Additive
2
3
Batches
=
Additive
?
12
Batches
2
[6.EE.2.c] Order of Operations
Simplify the numerical expression using GEMS/PEMDAS:
\( (4 + 6)^2 \div 5 \)
Step 1 (Grouping): ____________________
Step 2 (Exponents): ____________________
Spiral Review: Week 2 • Wednesday (Back)
Wednesday: Part II
3
[6.NS.1] Quotient of Fractions
Solve and simplify your answer to simplest form:
\( \frac{2}{3} \div \frac{4}{9} \)
4
[6.G.4] Geometric Nets
A net consists of 4 identical triangles and 1 square base. What 3D shape will this net fold into?
5
[6.EE.1] Exponential Notation
Write the following repeated multiplication in exponential form:
\( 6 \times 6 \times 6 \times 6 \)
BaseExp
One thing that is becoming easier for me is...
Spiral Review: Week 2 • Thursday (Front)
Thursday: Part I
1
[6.NS.8] Reflections on the Plane
A survey point is located at (3, -4). If it is reflected across the x-axis, what are the coordinates of the new point? Explain your reasoning.
A) (-3, -4)
B) (3, 4)
C) (-3, 4)
D) (4, -3)
2
[6.RP.4] Unit Rate: Speed
An architect can type 150 words in 5 minutes. At this constant rate, how many words can they type in 1 minute? Show the division.
Rate: ________ WPM
Spiral Review: Week 2 • Thursday (Back)
Thursday: Part II
3
[6.EE.8] Solutions to Inequalities
Is \( x = 5 \) a solution to the inequality \( x + 3 > 10 \)? Proving your answer by showing the substitution and comparison below.
4
[6.G.3] Polygons in the Plane
Find the perimeter of a rectangle with the following vertices:
(1, 1), (5, 1), (5, 4), (1, 4)
5
[6.RP.3.c] Percent Charts
What percent of 120 is 30? Use a double number line or ratio table to solve.
One "lightbulb moment" I had today was...
Spiral Review: Week 2 • Friday (Front)
Friday: Part I
1
[6.NS.1] Real-World Fraction Division
A carpenter has \( \frac{3}{4} \) of a cup of wood glue. Each small project requires \( \frac{1}{8} \) of a cup of glue. How many small projects can be completed?
3/4 Total Glue
÷
1/8 Glue per Project
2
[6.RP.1] Simplest Form Ratios
A bin contains 12 blue bolts and 8 red bolts. What is the ratio of blue bolts to red bolts in simplest form?
A) 3 : 2
B) 2 : 3
C) 6 : 4
D) 12 : 8
Spiral Review: Week 2 • Friday (Back)
Friday: Part II
3
[6.EE.2.c] Substitution & Algebra
Evaluate the following algebraic expression:
\( a(b - c) \)
when a = 5, b = 9, and c = 2.
4
[6.G.1] Polygon Blueprint
Calculate the area of a triangle that has a base of 7.2 meters and a height of 10 meters.
5
[6.SP.3] Statistical Fluency
Describe the process for finding the mean of a set of numbers in your own words.
Expanding Structural Integrity • Phase II
Quality Assurance
Structural Analysis Verified
A) (-3, -4)
B) (3, 4)
2. [6.RP.4] Unit Rate Speed
150 words in 5 minutes. Words per minute?
Rate = ________ wpm
3. [6.EE.8] Solutions
Is \( x = 5 \) a solution to \( x + 3 > 10 \)? Prove it.
4. [6.G.3] Polygons
Perimeter of rectangle vertices: (1,1), (5,1), (5,4), (1,4).
5. [6.RP.3.c] Percent charts
What percent of 120 is 30?
Percent = ________%
Spiral Review: Week 2 • Friday
Friday
1. [6.NS.1] Real-World Fractions
3/4 cup milk total. 1/8 cup per muffin. How many muffins?
3/4
÷
1/8
2. [6.RP.1] Simplest Form
12 blue bolts and 8 red bolts. Simplest ratio of blue to red?
A) 3 : 2
B) 2 : 3
3. [6.EE.2.c] Substitution
\( a(b - c) \) if a=5, b=9, c=2
4. [6.G.1] Polygon Blueprint
Base: 7.2 m
Area if Ht = 10m?
5. [6.SP.3] Stats Fluency
Describe the formula for the mean.
Inspector
Calculate the area of a triangle with base 7.2 and height 10.
5. [6.SP.3.a] Stats
Define 'Mean'.
"Precision is the soul of mathematics."
Week 2 of 7 Complete
3. [6.EE.7] One-Step Equations
Solve for \( m \):
\( 8m = 72 \)
4. [6.G.4] Surface Area Net
Calculate the surface area of a pyramid with a square base (4cm x 4cm) and 4 triangular faces (height 5cm).
5. [6.NS.9.a] Absolute Value
Which is greater: \( |-15| \) or \( |12| \)? Explain.
New Skill Acquired:
Standard to Practice More:
Spiral Review: Week 3 • Tuesday (Back)
Tuesday: Part II
3
[6.EE.3] Distributive Property
Expand the expression using the distributive property:
\( 4(2y + 6) \)
4
[6.G.4] Identifying Faces
A rectangular prism has the dimensions: Length=5, Width=2, Height=4. How many total faces does its net have? List the dimensions of each face.
5
[6.EE.8] Writing Inequalities
Write an inequality for the statement: "The temperature \( t \) is at least 70 degrees."
A) \( t < 70 \)
B) \( t \geq 70 \)
C) \( t \leq 70 \)
D) \( t > 70 \)
Spiral Review: Week 3 • Wednesday (Front)
Wednesday: Part I
1
[6.NS.3] Decimal Multiplication
Solve and show your work. Remember to count the decimal places in the factors to place the decimal in your product.
\( 4.2 \times 0.35 \)
2
[6.RP.1] Ratio Logic
In a blueprint sketch, the ratio of cats to dogs is 5 : 3. If there are 15 dogs in the sketch, how many cats are there?
Cats
5
3
Dogs
=
Cats
?
15
Dogs
Spiral Review: Week 3 • Wednesday (Back)
Wednesday: Part II
3
[6.EE.9] Completing Function Tables
Complete the function table using the equation \( y = x + 10 \).
| Input (\( x \)) | Output (\( y = x + 10 \)) |
|---|---|
| 4 | ? |
| 10 | ? |
| 25 | ? |
4
[6.SP.4] Analyzing Data Counts
A dot plot was created to show the number of siblings students have. If the plot has dots at values 1, 1, 2, 2, and 3, what is the total number of observations in the data set?
5
[6.NS.5] Integer Scenarios
Write the integer that represents each scenario:
A. A bank withdrawal of $20: __________
B. A plane gaining 500 feet: __________
C. 15 degrees below zero: __________
Spiral Review: Week 3 • Thursday (Front)
Thursday: Part I
1
[6.NS.1] Fraction Reciprocals
Solve and simplify: \( \frac{5}{6} \div \frac{2}{3} \). Show your work using the reciprocal of the divisor.
5/6 ×
?
2
[6.RP.3.c] Fast Percentages
Calculate 10% of 250. Then, use that information to find 30% of 250.
10% of 250 = __________
30% of 250 = __________
Spiral Review: Week 3 • Thursday (Back)
Thursday: Part II
3
[6.EE.6] Translating Complex Phrases
Translate the following phrase into an algebraic expression:
"triple y increased by 11"
A) 3y + 11
B) y^3 + 11
C) 3(y + 11)
Explanation:
4
[6.G.4] Complex Geometric Nets
Identify the 3D shape that is formed from a net consisting of a square base and four triangular faces.
Sketch Here
5
[6.SP.3] Identifying Statistics
Which of the following is a statistical question? Explain why.
A) "How old is my math teacher?"
B) "What are the heights of 6th graders?"
Spiral Review: Week 3 • Friday (Front)
Friday: Part I
1
[6.NS.4] Least Common Multiple
Find the Least Common Multiple (LCM) of 6 and 8. List the multiples of each number until you find the first match.
Multiples of 6
Multiples of 8
2
[6.RP.3] Proportional Costs
If 3 apples cost $2.10, how much will 10 apples cost? Show your work.
Total for 10 apples: $_____________
Spiral Review: Week 3 • Friday (Back)
Friday: Part II
3
[6.EE.7] One-Step Equations
Solve for \( m \). Show the inverse operation used to isolate the variable.
\( 8m = 72 \)
4
[6.G.4] Total Surface Area
A pyramid net has a square base with an area of 16 in² and four triangular faces with an area of 10 in² each. What is the total surface area?
5
[6.NS.7] Absolute Value Comparison
Compare using \( <, >, = \):
\( |-15| \)
?
\( |12| \)
Structural Integrity Analysis • Phase III
Architectural Review
Core Systems Expansion
Spiral Review: Week 3 • Thursday
Thursday
1. [6.NS.1] Fraction Reciprocals
Solve: \( \frac{5}{6} \div \frac{2}{3} \)
5/6
×
2. [6.RP.3.c] Fast Percentages
0 250
10% of 250? ________
3. [6.EE.6] Translation
"triple y increased by 11"
A) \( 3y + 11 \)
B) \( y^3 + 11 \)
4. [6.G.4] Complex Nets
Square base with 4 triangular faces.
Identify shape:
5. [6.SP.3] Stats Selection
Which is a statistical question?
A) Teacher age?
B) 6th grade heights?
Spiral Review: Week 3 • Friday
Friday
1. [6.NS.4] LCM Analysis
Find Least Common Multiple (LCM) of 6 and 8.
2. [6.RP.3] Proportions
3 = $2.10
Cost for 10 apples?
3. [6.EE.7] Equation Solving
\( 8m = 72 \)
4. [6.G.4] SA Total
Base: 16. 4 faces: 10 each. Total SA? ________
5. [6.NS.7] Abs Value
Compare: \( |-15| \) and \( |12| \).
?
Blueprint Series
\( x - 15 = 45 \)
Spiral Review: Week 4 • Wednesday (Front)
Wednesday: Part I
1
[6.NS.1] Visualizing Fraction Division
How many 1/3-size pieces can you get from 1 whole? Use the diagram to prove your answer.
1/3
1/3
1/3
Equation and Explanation:
2
[6.RP.3] Proportional Logic
Solve the following proportion for \( x \). Use a scale factor or cross-multiplication.
3/5 = x/25
Spiral Review: Week 4 • Wednesday (Back)
Wednesday: Part II
3
[6.EE.3] Equivalent Expressions Analysis
Is the statement \( 3(x + 2) = 3x + 2 \) true or false? Justify your answer using the distributive property or by substituting a number for \( x \).
4
[6.SP.4] Histogram Preparation
Given the data set: {1, 1, 2, 5, 5, 5, 8, 9}. If you were creating a histogram with intervals of size 3, what would the frequency be for the 4-6 interval?
5
[6.NS.7.a] Ordering Decimals
Compare the following numbers using \( <, >, = \). Think about their positions on a number line.
-4.5
?
-4.2
I used to get confused by ________, but now I know that...
Spiral Review: Week 4 • Thursday (Front)
Thursday: Part I
1
[6.NS.4] Rewriting Expressions with GCF
Rewrite the following addition expression as a product of their Greatest Common Factor (GCF) and a sum.
\( 12 + 20 \)
GCF ( ____ + ____ )
2
[6.RP.1] Ratio Contexts
A sports team had 12 wins and 8 losses. What is the ratio of their wins to total games played? Simplify your final ratio.
Total Games: __________
Simplified Ratio: __________
Spiral Review: Week 4 • Thursday (Back)
Thursday: Part II
3
[6.EE.2] Translating subtraction phrases
Translate the following phrase into an algebraic expression:
"the difference between 10 and p"
A) 10 + p
B) 10 - p
C) p - 10
D) 10p
4
[6.G.2] Fractional Volume Units
How many 1/2-inch cubes are needed to completely fill a larger prism that measures 2 inches by 2 inches by 2 inches?
5
[6.SP.5] Mean Analysis
Find the mean of the following data set. Show your addition and division steps.
{4, 8, 12, 16}
Spiral Review: Week 4 • Friday (Front)
Friday: Part I
1
[6.NS.1] Real-World Board Cutting
A carpenter has a board that is \( 2 \frac{1}{2} \) feet long. If they cut the board into pieces that are each \( \frac{1}{4} \) foot long, how many pieces will they have?
2 1/2 Total Length
÷
1/4 Piece Length
2
[6.RP.3] Accurate Conversions
A blueprint uses metric and imperial units. If 1 inch = 2.54 cm, how many centimeters are in 10 inches?
Total Centimeters: _____________
Spiral Review: Week 4 • Friday (Back)
Friday: Part II
3
[6.EE.8] Testing Inequality Solutions
Determine if the inequality \( x + 4 < 10 \) is true for each of the following values of \( x \). Write Yes or No for each.
If \( x = 5 \):
If \( x = 6 \):
If \( x = 7 \):
Work Space:
4
[6.G.2] Volume Blueprint
A small storage container has dimensions: Length=3.5 in, Width=2 in, Height=4 in. What is the total volume?
5
[6.SP.4] Median Analysis
Find the median of the data set. Remember to list the numbers in order first.
{15, 2, 8, 10, 5}
Core Concepts Assembly • Phase IV
Master Architect
Structural Integrity Verified
1. [6.NS.1] Real-World Division
\( 2 \frac{1}{2} \) ft board. Cut into 1/4-ft pieces. How many?
2. [6.RP.3] Conversions
1 inch = 2.54 cm. 10 inches = ________ cm
3. [6.EE.8] Inequalities
Is \( x + 4 < 10 \) true for x=5, 6, 7?
4. [6.G.2] Fractional Vol
L: 3.5, W: 2, H: 4. Volume?
5. [6.SP.4] Median
Median of {15, 2, 8, 10, 5}?
4. [6.G.2] Fractional Volume
Find volume of prism: \( L = 3 \frac{1}{2}, W = 2, H = 4 \).
5. [6.SP.4] Measures of Center
Find the median of {15, 2, 8, 10, 5}.
Core concepts reinforced. Approaching advanced assembly phase.
START WEEK 4 FINISH
Tuesday: Part II
3
[6.EE.2] Multi-Step Substitution
Evaluate the following expression if x = 4, y = 6, and z = 2:
\( 2(x + y) - 3z \)
4
[6.G.1] Composite Shape Area
A floor plan consists of a 10x2 meter rectangle joined with a 4x4 meter square. What is the total area of the floor plan?
5
[6.NS.5] Ordering Integers
Place the following set of numbers in order from least to greatest:
-8, 2, -15, 0, 4
A) -15, -8, 0, 2, 4
B) -8, -15, 0, 2, 4
C) 0, 2, 4, -8, -15
Spiral Review: Week 5 • Wednesday (Front)
Wednesday: Part I
1
[6.NS.1] Modeling Quotients
Find the quotient of \( \frac{2}{3} \div 4 \). Explain what it means to divide a fraction by a whole number using a visual model or words.
Divide each 1/3 section into 4 equal parts...
2
[6.RP.3] Percentage Discounts
A technical sweater is on sale. The original price is $50.00, and it is 30% off. What is the final sale price of the sweater? Show your work.
Final Price: $__________
Spiral Review: Week 5 • Wednesday (Back)
Wednesday: Part II
3
[6.EE.8] Real-World Inequalities
Graph the inequality \( h \ge 48 \) on the number line provided. This might represent a height requirement in inches for a construction zone.
40
48
56
4
[6.G.4] Complex Surface Area
A rectangular prism's net has three types of rectangles: two 6x4, two 10x6, and two 10x4. Find the total surface area.
5
[6.SP.4] Data Summary Analysis
For the data set {2, 2, 3, 4, 4, 4, 5, 6}, identify the range and the mode. Show how you found each.
I am becoming an expert at ________ because I remember to...
Spiral Review: Week 5 • Thursday (Front)
Thursday: Part I
1
[6.NS.4] Common Multiples Analysis
Find the Least Common Multiple (LCM) of 12 and 15. List the multiples for each number until you find the first match.
Multiples of 12
Multiples of 15
2
[6.RP.1] Ratio Logic Problems
The ratio of blue pens to red pens in a case is 2:3. If there are 30 total pens in the case, how many are blue? Show your ratio table or Tape Diagram.
Total Blue Pens: __________
Total Red Pens: __________
Spiral Review: Week 5 • Thursday (Back)
Thursday: Part II
3
[6.EE.3] Simplifying Algebraic Expressions
Combine like terms to simplify the expression below:
\( 5x + 3y - 2x + 4 \)
4
[6.G.2] Volume Capacity
A storage container has a total volume capacity of 40 cubic feet. If the container is exactly half full, what is the volume of the items currently inside?
5
[6.SP.5] Identifying Outliers
Identify the outlier in the following set of data and explain how it affects the mean.
{5, 6, 7, 30, 8}
A) 5
B) 30
C) 7
D) No Outlier
Spiral Review: Week 5 • Friday (Front)
Friday: Part I
1
[6.NS.7] Absolute Value Comparison
Compare the absolute values of the two numbers. First, evaluate each absolute value, then choose the correct comparison symbol (\( <, >, = \)).
\( |-25| \)
?
\( |18| \)
2
[6.RP.3] Proportional Travel
An assembly vehicle travels 30 miles on 1 gallon of fuel. How many gallons will be needed to travel 450 miles? Show the proportion.
Gallons Needed: _____________
Spiral Review: Week 5 • Friday (Back)
Friday: Part II
3
[6.EE.7] Solving Multiplication Equations
Solve for \( x \) in the equation below. Use the inverse operation to isolate the variable.
\( 0.5x = 10 \)
4
[6.G.1] Reasoning with Area
The area of a blueprint rectangle is 24 square units. If the height of the rectangle is 6 units, what is the length of its base?
5
[6.SP.5] Percentage of Data Sets
In any symmetric data set, what percentage of the data observations fall below the median?
A) 25%
B) 50%
C) 75%
D) 100%
Advanced Assembly Phase • Completed
Lead Engineer
Advanced Systems Validation
Identify outlier: {5, 6, 7, 30, 8}
A) 5
B) 30
Spiral Review: Week 5 • Friday
Friday
1. [6.NS.7] Abs Value Comparison
Compare: \( |-25| \) and \( |18| \).
?
2. [6.RP.3] Proportional Travel
30 miles / 1 gal. Gallons for 450 miles?
3. [6.EE.7] Equation Solving
\( 0.5x = 10 \)
4. [6.G.1] Reasoning
Area = 24. Ht = 6. Find Base.
5. [6.SP.5] Percent of Data
% of data below median?
A) 25%
B) 50%
Blueprint Series
3. [6.EE.7] Equations
Solve: \( 0.5x = 10 \)
4. [6.G.1] Area Reasoning
If the area of a rectangle is 24 and the height is 6, what is the base?
5. [6.SP.4] Box Plot Logic
What percentage of data is below the median?
Week 5 Verification Complete
Friday
1. [6.NS.8] Reflections
Start (2,2). Reflect (y-axis). Move 4 down. Final location?
2. [6.RP.3] Multi-Step %
$20 vest. 10% off. Add 5% tax. Final cost?
3. [6.EE.2] Order Ops
\( (10 - 2)^2 \div 4 + 7 \)
4. [6.G.1] Area
Parallelogram: Base 15, Ht 6. Area?
5. [6.SP.4] Vocabulary
What does MAD measure?
A) Average value
B) Variability/Spread
| 4 | ? |
| 10 | ? |
| 20 | ? |
4
[6.G.2] Volume of a Cube
What is the volume of a cube with side lengths of 3/4 of an inch? Express your answer as a fraction.
5
[6.NS.7] Ordering Temperatures
Order the following temperatures from coldest to warmest:
-5, 12, -10, 0, -2
A) -10, -5, -2, 0, 12
B) 12, 0, -2, -5, -10
C) -2, -5, -10, 0, 12
Spiral Review: Week 6 • Wednesday (Front)
Wednesday: Part I
1
[6.NS.4] GCF Real-World Word Problem
An interior designer has 24 red tiles and 36 blue tiles. They want to create identical sets of tiles with none left over. What is the greatest number of identical sets they can make?
2
[6.RP.3] Tape Diagram Analysis
In a blueprint club, the ratio of boys to girls is 4:5. If there are 20 boys in the club, what is the total number of students? Show your tape diagram.
Total Students: _____________
Spiral Review: Week 6 • Wednesday (Back)
Wednesday: Part II
3
[6.EE.3] Simplifying with Distributive Property
Simplify the expression by expanding and then combining like terms:
\( 2(x + 5) + 3x \)
4
[6.G.4] Geometric Faces
A net for a triangular prism is laid out. How many total faces should be in the net? How many are triangles and how many are rectangles?
Sketch or
List Here
5
[6.SP.5.c] Effects of Outliers
If a data set has one extremely large outlier, how will it typically affect the mean of the data set? Explain why.
Spiral Review: Week 6 • Thursday (Front)
Thursday: Part I
1
[6.NS.2] Precision Long Division
Solve using the standard algorithm. Show all your steps clearly.
\( 3,750 \div 25 \)
25 3750
2
[6.RP.3] Map Scale Calculations
On a blueprint map, 1 inch = 50 miles. If the actual distance between two construction sites is 325 miles, how many inches apart are they on the map?
Map Distance: __________ inches
Spiral Review: Week 6 • Thursday (Back)
Thursday: Part II
3
[6.EE.8] One-Step Inequality Logic
Solve the inequality for \( x \). Use the inverse operation just like an equation.
\( x \div 3 > 2 \)
4
[6.G.3] Length on the Coordinate Plane
What is the distance between the point (-3, 4) and the point (5, 4)? Explain how the signs of the x-coordinates help you decide whether to add or subtract their absolute values.
5
[6.SP.3] Robustness of Measures
Which measure of center is least affected by extreme outliers? Choose and explain why.
A) Mean
B) Median
C) Range
Spiral Review: Week 6 • Friday (Front)
Friday: Part I
1
[6.NS.8] Multi-Step Coordinate Geometry
A structural point starts at (2, 2). It is first reflected across the y-axis, then shifted 4 units down. What are the final coordinates of the point?
Start: (2, 2)
Reflect: ( ____ , ____ )
Final: ( ____ , ____ )
2
[6.RP.3] Multi-Step Percent (Tax & Discount)
A high-visibility vest regularly costs $20.00. It is on sale for 10% off. After the discount, a 5% sales tax is added. What is the final total cost? Show each step.
Step 1 (Discount): $_____________
Step 2 (Tax & Final): $_____________
Spiral Review: Week 6 • Friday (Back)
Friday: Part II
3
[6.EE.2] Order of Operations Complexity
Simplify the expression using GEMS/PEMDAS. Show each line of your work as you go.
\( (10 - 2)^2 \div 4 + 7 \)
4
[6.G.1] Area of Parallelograms
Calculate the area of a parallelogram that has a base of 15 units and a height of 6 units.
5
[6.SP.4] Data Vocabulary
What does MAD (Mean Absolute Deviation) measure in a set of data?
A) The average of the values
B) The variability or spread
C) The middle value
D) The most frequent value
Peak Performance Phase • Completed
Site Inspector
Project Readiness Verified
Start at (2,2). Reflect across y-axis. Then move 4 units down. New point?
2. [6.RP.3] Multiple Percents
A $20 shirt is 10% off. After the discount, there is 5% tax. Final price?
3. [6.EE.2] Order of Ops
Evaluate: \( (10 - 2)^2 \div 4 + 7 \)
4. [6.G.1] Polygon Logic
Find the area of a parallelogram with base 15 and height 6.
5. [6.SP.4] Variability Reason
Define "Mean Absolute Deviation" (MAD) in your own words.
You have completed 6 weeks of architectural math construction. Next week: The Grand Blueprint. Prepare for full system integration.
W1-6 COMPLETED
W7 PENDING...
4
[6.G.4] Surface Area Calculation
Calculate the total surface area of a rectangular prism with dimensions: 10 units x 5 units x 2 units.
5
[6.NS.8] Area on the Coordinate Plane
Find the area of a rectangle formed by these two opposite corners on the coordinate plane: (1, 1) and (7, 5). Show your work.
Spiral Review: Week 7 • Wednesday (Front)
Wednesday: Part I
1
[6.NS.3] Decimal Division Mastery
Solve the division problem. Tip: Multiply both the divisor and dividend by 10 to clear the decimal point first.
\( 15.6 \div 0.3 \)
2
[6.RP.3] Multi-Step Unit Conversions
You determine that \( 2/3 \) of a yard is exactly 24 inches long. Based on this relationship, how many inches are in 2 full yards?
2/3 Yard = 24"
2 Yards = ____"
Spiral Review: Week 7 • Wednesday (Back)
Wednesday: Part II
3
[6.EE.7] Solving Equations with Division
Solve the following algebraic equation using the inverse operation to isolate the variable \( y \):
\( \frac{y}{4} = 15 \)
4
[6.G.2] Volume with Decimals
Calculate the total volume of a container with the following measurements:
Length = 2, Width = 2.5, and Height = 4.
5
[6.SP.4] Data Variability Mastery
Analyze a data set where all values are identical: {10, 10, 10, 10}. Calculate the Range and the MAD (Mean Absolute Deviation). What do these values tell you about the variability?
Spiral Review: Week 7 • Thursday (Front)
Thursday: Part I
1
[6.NS.1] Modeling Fraction Quotients
Use the visual blueprint below to determine the quotient of \( \frac{1}{2} \div \frac{1}{6} \). How many 1/6 sized segments fit into the shaded 1/2 area?
2
[6.RP.3.c] Growth Percentage Audit
A city's population grew from 500 residents to 600 residents. Calculate the percentage increase. Show your division and final percent.
Growth: _____________ %
Spiral Review: Week 7 • Thursday (Back)
Thursday: Part II
3
[6.EE.8] Solution Set Analysis
Which of the following values are part of the solution set for the inequality \( x > -3 \)? Circle all that apply and explain your reasoning.
-4
0
5
-2
4
[6.G.1] Solving for Dimensions
A triangle on a blueprint has an area of 50 square units and a height of 10 units. Calculate the length of its base.
5
[6.SP.3] Variability in Data Questions
Which of the following questions will result in more variation in the collected data? Explain your reasoning.
A) "How old is my math teacher today?"
B) "What are the ages of all the trees in the park?"
Spiral Review: Week 7 • Friday (Front)
Friday: Part I
1
[6.NS.5] Integer Operations Flow
A blueprint budget starts with a withdrawal of $40, followed by a deposit of $60. What is the final net change represented as an integer? Show your calculation on a number line.
- $40 + $60
Net: __________
2
[6.RP.1] Ratio Proportion Mastery
A shipment has a ratio of apples to oranges of 3:2. If there are 40 oranges in the shipment, how many apples are there?
Total Apples: _____________
Spiral Review: Week 7 • Friday (Back)
Friday: Part II
3
[6.EE.9] Mastering Function Rules
Complete the blueprint function table using the complex rule:
\( y = 3x - 1 \)
| Input (\( x \)) | Output (\( y \)) |
|---|---|
| 1 | ? |
| 2 | ? |
| 5 | ? |
4
[6.G.3] Advanced Coordinate Logic
Starting at point (4, -5), reflect the point across the x-axis and then reflect the resulting point across the y-axis. What are the final coordinates?
( ________ , ________ )
5
[6.SP.5] Decimal Range Evaluation
Find the range for the following decimal data set. Show your subtraction clearly.
{4.2, 8.1, 3.9, 12.0, 5.5}
7-Week Comprehensive 6th Grade Math Certification • Completed
4. [6.G.3] Coords
Reflect (4, -5) across BOTH axes.
5. [6.SP.5] Range Eval
Range of {4.2, 8.1, 3.9, 12.0, 5.5}?
3. [6.EE.9] Input/Output
Complete the table for \( y = 3x - 1 \):
(1, __), (2, __), (3, __)
4. [6.G.3] Coordinate Logic
If you reflect (4, -5) across both axes, where do you end up?
5. [6.SP.5.b] Final Measure
Find the range of this set: {4.2, 8.1, 3.9, 12.0, 5.5}.
System implementation successful. Week 7 verification complete. You are prepared for the statewide blueprint examination.
