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Texas Rational Roundup

A three-day high-energy math sequence where students master adding and subtracting positive rational numbers fluently. Each day features Lone Star adventures ranging from Buc-ee's road trips and rodeo ranching to the State Fair of Texas and NASA mission control.

LBLara Becker
Buc-ees Decimal Drive

Day 1 focuses on adding and subtracting positive decimals fluently through a Texas road trip adventure featuring Buc-ee's snack runs, highway mileage, and brisket smoking times.

Ranch Fraction Rodeo

Day 2 focuses on adding and subtracting fractions and mixed numbers with like and unlike denominators during a ranch rodeo and pecan harvest festival.

Lone Star Showdown

Day 3 unites fractions and decimals in a high-stakes Lone Star showdown, tackling Texas State Fair budgets and Johnson Space Center launch trajectory fuel calculations.

Texas Rational Roundup

A three-day high-energy math sequence where students master adding and subtracting positive rational numbers fluently. Each day features Lone Star adventures ranging from Buc-ee's road trips and rodeo ranching to the State Fair of Texas and NASA mission control.

LBLara Becker

Show line-up & subtraction:

Answer: ________ sec

4. Buc-ee’s Merch Bag 🦫

Jordan buys a bumper sticker for $3.49, beef jerky for $8.25, and a soda for $1.79. Total cost?

Show three-addend alignment:

Answer: $________

🎫 Day 1 Exit Ticket: The I-35 Dash

Independent Mastery

Maya has a $50.00 Buc-ee’s gift card. She purchases a Lone Star hoodie for $34.78 and candied pecans for $6.85.

Part A: What is the total cost of her items?

Total: $____________

Part B: How much money remains on her card?

Change: $____________

Self-Check: How confident do you feel with decimals?

⚪ 1: Need Help ⚪ 2: Getting There ⚪ 3: Solid ⚪ 4: Decimal Master 🤠

Submit your mission log via Google Classroom / Canvas by 4:00 PM [Page 2 of 2]

\( 1\frac{2}{3} \) cups

How many total cups of pecans does Granny need?

💡 Strategy: Find LCD for 4 and 3. LCD = 12! Convert both fraction parts first!

Step-by-Step Conversion

\( 2\frac{3}{4} \) \( \rightarrow \) \( 2\frac{9}{12} \)

\( 1\frac{2}{3} \) \( \rightarrow \) \( + 1\frac{8}{12} \)

Add Wholes & Fractions: \( 3\frac{17}{12} \)

Regroup improper fraction: \( \frac{17}{12} = 1\frac{5}{12} \)
\( 3 + 1\frac{5}{12} = \mathbf{4\frac{5}{12}} \)

✅ Total Pecans = \( 4\frac{5}{12} \) cups

💬 Webcam Check: Hold up 4 fingers if you caught the regrouping of \( 17/12 \)!


🐎

Guided Round #2

Rodeo Pen Fencing (Borrowing)

Borrow 1 Whole as a Fraction!

🪵 The Scenario

Rancher Jesse had a cedar beam measuring \( 8\frac{1}{6} \) feet. He cut off \( 3\frac{5}{6} \) feet to repair the bull pen gate.

How many feet of the cedar beam remain?

⚠️ Rodeo Alert: Look at the numerators: can you take 5 away from 1? No! You must borrow 1 whole from 8!

Borrowing 1 Whole = \( \frac{6}{6} \)

\( 8\frac{1}{6} \) becomes \( 7 + \frac{6}{6} + \frac{1}{6} = \) \( \mathbf{7\frac{7}{6}} \)

Subtract: \( - 3\frac{5}{6} \)

Result: \( 4\frac{2}{6} \)

Always simplify: \( \frac{2}{6} \) divides by 2 on top & bottom \( \rightarrow \) \( 4\frac{1}{3} \)

✅ Remaining Beam = \( 4\frac{1}{3} \) feet

💬 Key Takeaway: When borrowing 1 whole, add the denominator to the numerator! \( 1 + 6 = 7 \)!


⭐

Independent Sprint

Ranch Rodeo Problem Sprint

Solve on your Mission Log!

EVENT 1: BARRELS 🛢️

Like Denominators

A horse drank \( 3\frac{3}{8} \) buckets of water at dawn and \( 2\frac{7}{8} \) buckets at dusk. Total buckets drank?

\( 3\frac{3}{8} + 2\frac{7}{8} = ? \)

EVENT 2: PASTURE 🌾

Unlike Denominators

A pasture fence needed \( 7\frac{5}{6} \) rolls of wire. They have installed \( 4\frac{1}{2} \) rolls. How much wire is left to install?

\( 7\frac{5}{6} - 4\frac{1}{2} = ? \)

EVENT 3: TAILGATE 🏈

High School Football

The booster club made \( 5\frac{1}{4} \) gallons of sweet tea and \( 3\frac{2}{3} \) gallons of lemonade. How many gallons in all?

\( 5\frac{1}{4} + 3\frac{2}{3} = ? \)

🔔 Breakout Team Protocol: Compare your simplified answers with your virtual partner!


🎫

Check for Understanding

Day 2 Exit Ticket: Longhorn Trail

Individual Mastery Check

Ranch Trail Challenge 🐂 🌾

Ranger Carlos hikes the Longhorn Trail. He treks \( 4\frac{3}{5} \) miles before lunch. In the afternoon, he hikes another \( 2\frac{7}{10} \) miles to reach the campsite.

Question 1:

What is the total distance Carlos hiked today? (Express in simplest mixed number form)

Question 2:

How much further did Carlos hike in the morning than in the afternoon?

📤

Submit Ticket: Record both answers on Day 2 Mission Log page 2 and submit to your teacher!

Y’all lassoed those fractions! 🪢

3. High School Booster Refreshment 🏈

For Friday Night Football, the booster club made \( 5\frac{1}{4} \) gallons of sweet tea and \( 3\frac{2}{3} \) gallons of lemonade. How many gallons total?

Show LCD conversion & sum:

Answer: ________ gal

4. Hay Bale Feed Inventory 🚜

The ranch barn stored \( 9\frac{1}{5} \) tons of coastal Bermuda hay. Cattle ate \( 4\frac{7}{10} \) tons during cold snaps. How many tons remain?

Show borrowing & subtraction:

Answer: ________ tons

🎫 Day 2 Exit Ticket: Longhorn Trail Expedition

Independent Mastery

Ranger Carlos hikes the Longhorn Trail. He treks \( 4\frac{3}{5} \) miles in the morning and \( 2\frac{7}{10} \) miles in the afternoon.

Part A: What is the total distance hiked? (Simplify)

Total: ____________ miles

Part B: How much farther did he hike in the morning?

Difference: ____________ miles

Self-Check: How confident do you feel with fractions & mixed numbers?

⚪ 1: Need Help ⚪ 2: Getting There ⚪ 3: Solid ⚪ 4: Fraction Wrangler 🤠

Submit your mission log via Google Classroom / Canvas by 4:00 PM [Page 2 of 2]

State Fair of Texas

🌭 The Scenario

At Fair Park in Dallas, Austin spends $14.75 on Fletcher's Corny Dogs and \( 6\frac{1}{2} \) dollars on cotton candy.

How much total money did Austin spend?

🧠 Fast Strategy: Convert \( 6\frac{1}{2} \) into a decimal! What is \( \frac{1}{2} \) as money? Exactly $6.50!

Convert to Decimal & Line Up the Dots

\( 6\frac{1}{2} \rightarrow 6.50 \)

 ¹    

 14.75

+ 06.50

 21.25

✅ Total Spent = $21.25 (or \( 21\frac{1}{4} \))

💬 Virtual Poll: Which was faster: converting to decimals or finding common denominators?


🚀

Guided Mission #2

NASA Johnson Space Center Trajectory

Houston We Have a Solution!

🛰️ The Scenario

A lunar cargo rocket at Johnson Space Center carries 28.75 metric tons of liquid propellant. During Stage 1 burn, it consumes \( 19\frac{1}{2} \) metric tons.

How many metric tons of propellant remain for Stage 2?

🚀 Mission Control Step: Convert \( 19\frac{1}{2} = 19.50 \). Then subtract with decimal alignment!

Propellant Reserve Subtraction

\( 19\frac{1}{2} \rightarrow 19.50 \)

 ¹ ¹⁸    

 28.75

- 19.50

 09.25

✅ Propellant Left = 9.25 tons (or \( 9\frac{1}{4} \) tons)

💬 Chat Waterfall: Type both forms into chat: 9.25 and 9 1/4!


⭐

Mastery Sprint

Lone Star Showdown Challenge

Solve on Day 3 Mission Log!

CHALLENGE 1: TEXAS FAIR 🎡

Ferris Wheel Height

The Texas Star Ferris Wheel is 212.5 ft tall. A mini carnival ride is \( 34\frac{3}{4} \) ft tall. Difference in height?

212.5 - \( 34\frac{3}{4} \) = ?

CHALLENGE 2: NASA LAB 🛰️

Spacewalk Cables

An astronaut connects a \( 15\frac{2}{5} \) meter tether to an extension measuring 8.35 meters. Total tether length?

\( 15\frac{2}{5} \) + 8.35 = ?

CHALLENGE 3: RIVER FLOAT 🌊

Guadalupe River Tube

The river tube route is 6.8 miles long. You have floated \( 3\frac{1}{4} \) miles. How many miles remain to the exit point?

6.8 - \( 3\frac{1}{4} \) = ?

🔔 Breakout Protocol: Share which form (decimal or fraction) your group chose for each problem!


🎫

Sequence Final Assessment

Day 3 Exit Ticket: NASA Artemis Cargo

Final Mastery Gate

Mission Control Critical Flight Calculation 🚀 🌕

The Artemis Lunar Lander has a maximum cargo capacity of 42.5 kg. Astronauts load a geological drill weighing \( 18\frac{3}{4} \) kg and a solar sensor pack weighing 11.85 kg.

Question 1: Total Loaded Weight

What is the combined weight of the drill and sensor pack?

Question 2: Remaining Payload Capacity

How many kilograms of cargo capacity remain before reaching the 42.5 kg limit?

🌟

Turn In Your Log: Submit Day 3 Mission Log to claim your Official Lone Star Rational Number Champion Badge!

Texas Sized Mission Accomplished! 🤠🚀

Answer: ________ m

3. Guadalupe River Float Trip 🌊

The tubing course is 6.8 miles long. Diego has floated \( 3\frac{1}{4} \) miles. How many miles remain to the take-out?

Convert \( 3\frac{1}{4} \rightarrow 3.25 \) and subtract:

Answer: ________ miles

4. San Antonio Riverwalk Taco Truck 🌮

Sofia buys 3 street tacos for $7.75, queso for \( 4\frac{1}{2} \) dollars, and a drink for $2.10. Total cost?

Convert and align 3 addends:

Answer: $________

🚀 Day 3 Exit Ticket: NASA Artemis Lunar Cargo

Final Sequence Gate

The Artemis Lunar Module has a maximum cargo payload limit of 42.5 kg. The mission crew loads a drill kit weighing \( 18\frac{3}{4} \) kg and a sensor pack weighing 11.85 kg.

Part A: Total weight of drill and sensor pack?

Total Cargo: ____________ kg

Part B: How much payload capacity remains?

Remaining Capacity: ____________ kg

⭐ Texas Rational Roundup Certificate of Mastery

Teacher Stamp / Signature: _________________________

Turn in completed 3-Day Mission Logs for final sequence grade • You rock! [Page 2 of 2]

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