5. [6.SP.5.b] Data

What is the range of the following data: {10, 22, 15, 8, 30}?

WEEKLY BLUEPRINT CHECK-IN

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.

Math Blueprint

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): ____________________

Math Blueprint

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...

Math Blueprint

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

Math Blueprint

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...

Math Blueprint

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

Math Blueprint

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.

Week 2 Certified

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 = ________%

Math Blueprint

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.

Week 2 Certified

Inspector

Calculate the area of a triangle with base 7.2 and height 10.

5. [6.SP.3.a] Stats

Define 'Mean'.

Blueprint Milestone #2

"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.

Blueprint Reflection

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) \( t > 70 \)

Math Blueprint

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

Math Blueprint

Spiral Review: Week 3 • Wednesday (Back)

Wednesday: Part II

3

[6.EE.9] Completing Function Tables

Complete the function table using the equation \( y = x + 10 \).

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: __________

Math Blueprint

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 = __________

Math Blueprint

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?"

Math Blueprint

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: $_____________

Math Blueprint

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 \( <, >, = \):

\( |-15| \)

?

\( |12| \)

Week 3 Certified

Structural Integrity Analysis • Phase III

Architectural Review

Core Systems Expansion

Math Blueprint

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?

Math Blueprint

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 \( |12| \).

?

Week 3 Certified

Blueprint Series

\( x - 15 = 45 \)

Math Blueprint

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

Math Blueprint

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...

Math Blueprint

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: __________

Math Blueprint

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}

Math Blueprint

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: _____________

Math Blueprint

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}

Week 4 Certified

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}?

Week 4 Certified

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}.

Blueprint Status: LEVEL 4

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

Math Blueprint

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: $__________

Math Blueprint

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...

Math Blueprint

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: __________

Math Blueprint

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

Math Blueprint

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: _____________

Math Blueprint

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%

Week 5 Certified

Advanced Assembly Phase • Completed

Lead Engineer

Advanced Systems Validation

Identify outlier: {5, 6, 7, 30, 8}

A) 5

B) 30

Math Blueprint

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%

Week 5 Certified

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?

Assembly Optimized

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

Week 6 Certified

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

Math Blueprint

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: _____________

Math Blueprint

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.

Math Blueprint

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

Math Blueprint

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

Math Blueprint

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): $_____________

Math Blueprint

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

Week 6 Certified

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.

BLUEPRINT PEAK

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.

Math Blueprint

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 = ____"

Math Blueprint

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?

Math Blueprint

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: _____________ %

Math Blueprint

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?"

Math Blueprint

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: _____________

Math Blueprint

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:
\( y = 3x - 1 \)

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}

Grand Blueprint Architect

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}?

Grand Architect Certified

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}.

Blueprint Mastery

System implementation successful. Week 7 verification complete. You are prepared for the statewide blueprint examination.