Ratio Launchpad

4

North Carolina EOG Test Practice

Standard: NC.6.RP.1

Q1.

A pet shelter has 8 cats and 12 dogs available for adoption. What is the ratio of cats to the total number of animals at the shelter?

A 8 to 12

B 12 to 8

C 8 to 20

D 20 to 8

EOG Test Detective Tip: Look at choice A. Why is Choice A a common "trap" answer?

Q2.

In a fruit bowl, there are 3 apples and 5 bananas. Which statement correctly describes the ratio of bananas to apples?

A For every 3 apples, there are 5 bananas.

B For every 5 bananas, there are 3 apples.

C For every 5 bananas, there are 8 apples.

D For every 8 fruits, there are 3 apples.

How do you feel about writing ratios today?

○ Super Confident! ○ Need a little practice ○ Need help

Page 2 • NC EOG Prep • Ratio Power Sequence

Parent/Guardian Signature:

Time spent: ______ mins

Page 2 • 3-Night Homework Packet • NC EOG Standards Aligned

Word: 4 to 6 | Colon: 4 : 6 | Fraction: 4/6

2. Health to Total Potions:

4 to 10 (or 4:10, 2:5)

Night 2: Pet Store Tape Diagram (3 Dogs : 1 Cat, 16 Total) 4 Total Boxes

• Box Value: 16 ÷ 4 boxes = 4 in every box.

• Dogs Calculation: 3 boxes × 4 = 12 dogs.

• Cats Check: 1 box × 4 = 4 cats (Check: 12 + 4 = 16 total animals).

Night 3: Scaling & 7th Grade Proportionality Tiered Tasks

Part A (Gas Table):

3 gallons = 28 × 3 = 84 miles

5 gallons = 28 × 5 = 140 miles

Part B (7th Grade Unit Rate):

\(\frac{1}{2} \div \frac{1}{4} = \frac{1}{2} \times \frac{4}{1} = \frac{4}{2} = 2\) cups sugar per cup butter.

Self-Contained Scoring & Pacing Notes

Full Credit: Correct setup, order preserved, and total calculated accurately.

Partial Credit: Accurate counts but reversed order or missing simplification.

Accommodation: Allow counters, fraction strips, or calculator for multi-step division.

Take-Home Homework Answer Key • Page 2 of 2 • Ratio Launchpad

5

5

Total = 15 cups (15 ÷ 3 = 5 per box!)

Apple (1):

5

Total = 5 cups needed!

Conclusion: The cook needs exactly 5 cups of Apple juice! Turn to Page 1 of Day 2 Worksheet! →

NC EOG Connection: Matching Models

Standard: NC.6.RP.3

On the North Carolina EOG, questions will often show you 4 different diagrams and ask: "Which tape diagram represents the situation?"

✓ What to LOOK FOR:

• • Box counts match the ratio order.
• • Every single box is drawn the same size.
• • Labels clearly state the item names.

✗ Common TRICK Diagrams:

• • Numbers are swapped backwards.
• • Boxes have different sizes.
• • Wrong number of total boxes shown.

You have the blueprint! Let's practice drawing and solving. Time for Worksheet 2!

4

North Carolina EOG Test Practice

Standard: NC.6.RP.3

Q1.

At a North Carolina science museum, the ratio of adult tickets sold to student tickets sold is 2 : 5. Which tape diagram represents this ratio?

A Model A

Adult:

Student:

B Model B

Adult:

Student:

C Model C

Adult:

Student:

D Model D

Adult:

Student:

EOG Elimination Strategy: Which choice swapped Adult and Student backwards? Choice _____.

Tape Diagram Check: Can you find the value of 1 box?

○ Yes, easy! ○ With a little help ○ Need practice

Page 2 • NC EOG Prep • Tape Diagram Trek

• Choice B (Trap): Reverses the ratio (5 adult boxes and 2 student boxes). Students who read quickly pick this trap.

• Choice C (Trap): Shows 2 adult boxes and 7 student boxes (student confused the total of 7 with the student part).

• Choice D (Trap): Shows 1 adult box and 3 student boxes (incorrectly scaled).

Teacher Intervention Script: The "Total in the Box" Error

Common Error: Student writes "25" in each box for the garden problem.

Teacher Script: "Hold on, if we put 25 in each box, then just the tomatoes would be 25 + 25 + 25 + 25 = 100 plants! But the whole garden only has 25 plants total. The 25 plants must be shared equally among all 5 boxes. What is 25 divided by 5?"

Tape Diagram Answer Key • Page 2 of 2 • Ratio Launchpad

Independent Practice Stations (20 Mins)

Tiered Practice Phase

Station A Grade 6 Track

Grade 6 Ratio Practice

• • Part-to-Whole ratios and total sums
• • Tape diagram unit values
• • Completing scaling tables
• • NC.6.RP EOG test questions

Use: Grade 6 Practice Worksheet

Station B Grade 7 Track

Grade 7 Ratio Practice

• • Fractional unit rates (fractions in ratios)
• • Finding constant of proportionality (\(k = \frac{y}{x}\))
• • Writing \(y = kx\) proportional equations
• • NC.7.RP EOG test questions

Use: Grade 7 Practice Worksheet

Teachers circulate to provide manipulative and visual support! Begin Stations Now! →

Lesson Close & Homework Assignment

Final 10 Minutes

Your Take-Home Mission:

Take out your Ratio Take-Home Homework Packet. Spend 10–15 minutes tonight solidifying what you learned today.

Night 1

3 Ratio Formats

Night 2

Tape Diagrams

Night 3

Ratio Tables & \(k\)

Pack your worksheets and homework in your binder safely! You are North Carolina EOG Ready!

|

How long would it take Maya to jog 6 miles?

Answer: minutes

4

North Carolina EOG Test Practice

Standard: NC.6.RP.3a

Q1.

The table below shows the cost of purchasing notebooks at a school store. If the ratio stays constant, what is the value of X?

Notebooks

2

4

6

Cost ($)

$6

$12

X

A $14

B $16

C $18

D $24

Q2.

Which table shows an equivalent ratio to 2 : 5?

A Table A

2

4

6

5

7

9

B Table B

2

4

6

5

10

15

Trap Watch: Look at Table A. Did they just add +2 and +2? Ratios require multiplication!

🏆

3-Day Ratio Sequence Completed!

You mastered ratios, tape diagrams, and ratio tables!

NC EOG Ready ✓

Page 2 • NC EOG Mastery • Equivalent Ratio Quest

○ 100% Ready ○ Almost there ○ Need help with simplification

Grade 6 Track • Page 2 • NC EOG Aligned

2

3

5

Cups Sugar (\(y\))

6

9

15

A \(k = 2\)

B \(k = 3\)

C \(k = 4\)

D \(k = \frac{1}{3}\)

EOG Detective Tip: Calculate \(k = \frac{y}{x} = \frac{6}{2} = 3\). Choice D is the trap where someone did \(\frac{x}{y}\)!

Q2.

Kendra drinks \(\frac{3}{4}\) gallon of water every \(\frac{1}{2}\) day. At this rate, how many gallons of water does Kendra drink in 1 full day?

A \(\frac{3}{8}\) gallon

B 1 gallon

C \(1\frac{1}{2}\) gallons

D 2 gallons

Scaffold Frame: \(\frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = 1\frac{2}{4} = 1\frac{1}{2}\).

Q3.

If a car travels at a constant speed with a unit rate of 55 miles per hour (\(k = 55\)), which equation models the total miles (\(y\)) traveled in \(x\) hours?

A \(y = x + 55\)

B \(y = 55x\)

C \(y = \frac{55}{x}\)

D \(x = 55y\)

Grade 7 Proportionality: Did you master \(k = \frac{y}{x}\)?

○ Fully Mastered ○ Need a reminder for fractions ○ Need extra coaching

Grade 7 Track • Page 2 • NC EOG Aligned

Grade 7 Independent Practice Key (NC.7.RP) Grade 7 Station

Fractional Unit Rates:

• Deandre: \(\frac{1}{2} \div \frac{1}{4} = \frac{1}{2} \times \frac{4}{1} =\) 2 mph

• Painter: \(\frac{1}{3} \div \frac{1}{6} = \frac{1}{3} \times \frac{6}{1} =\) 2 walls/hr

Finding \(k\) & Equation:

• T-Shirts Table: \(k = \frac{16}{2} = \frac{32}{4} = \frac{48}{6} =\) 8

• Equation: \(y = 8x\)

Grade 7 EOG Items:

• Q1 (BBQ Sauce \(k\)): Correct: B (\(k = 3\)). Rationale: \(k = \frac{y}{x} = \frac{6}{2} = 3\). Choice D is the inverted trap.

• Q2 (Gallons of Water): Correct: C (\(1\frac{1}{2}\) gal). Rationale: \(\frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = 1\frac{1}{2}\).

• Q3 (Speed Equation): Correct: B (\(y = 55x\)). Follows the standard proportional equation form \(y = kx\).

Unit Complete: All standards NC.6.RP.1-3 and NC.7.RP.1-2 fully addressed with answer keys! Classroom Ready ✓

Ratio Mastery Answer Key • Page 2 of 2 • Differentiated Stations