WHAT'S INCLUDED:

• Google Classroom
• Task Card
• 6 Jobs/ Professions where this Math is used or can be used.

This lesson is aligned with §111.29. Grade 6, Middle School Advanced Mathematics, Adopted 2025.

• TEKS Math.6.3F: add, subtract, multiply, and divide rational numbers;

24 Questions:

1. Match each operation with its definition. Which is the correct match for Multiplication?
   
2. Which of the following shows a correct example of dividing two rational numbers?
   
3. Which set contains only rational numbers?
   
4. What is the identity property of addition for rational numbers?
   
5. Statement: -12 ÷ 4 = -3 and 12 ÷ -4 = -3
   
6. Statement: To divide by a fraction, you multiply by its reciprocal.
   
7. The table shows the monthly electricity usage in kilowatt-hours (kWh) for 4 months. What is the average usage per month?
   
8. Celine deposited $120.50 into her bank account. Then she made a purchase of $43.25 and withdrew another $25.50. What is her current balance?
   
9. A recipe calls for 2.5 cups of flour. Rachel wants to make 1.5 times the recipe. How many cups of flour will she need?
   
10. Diego had $60. He bought 3 books for $12.45 each and a drink for $2.50. How much money does Diego have left?
    
11. A company earned $4,250.50 in revenue and had expenses totaling $5,015.75. What was the net income (profit or loss)?
    
12. A tank is leaking water at a rate of 0.75 gallons per hour. How much water will leak out in 8 hours and 20 minutes?
    
13. Tina wants to stay within a budget of $10 for lunch over 4 days. She spends $3.25 each day and receives a $6.50 refund. Did she stay within her budget? Explain your reasoning.
    
14. A submarine is at –3.25 meters depth. It rises 6.75 meters. Which expression represents the submarine’s new depth?
    
15. Maya and Ali are diving at different times. Maya’s final depth: –12.25 feet, ascending at 2 feet per minute. Ali’s final depth: –20.25 feet, ascending at 3 feet per minute. Who reaches sea level first, and how long does it take?
    
16. A diver’s depth changes are represented by different expressions. One expression equals –8, another equals 8. Explain how the diver’s movement differs in these two cases and what it means for the diver’s position.
    
17. Lena is tracking her bank account balance. She starts with $100, then makes the following transactions: What is her final balance? Explain how the order of transactions affects the final amount.
    
18. The expressions 4 ÷ (-0.5) and (-4) ÷ 0.5 both equal the same value. Explain what each expression represents and why their results are the same.
    
19. Marine Biology / Environmental Science: Temperature Change. A marine biologist found water temperatures of -1.3°F in the Arctic and 4.5°F in the Atlantic. If a certain fish species can only survive if the temperature difference is less than 5°F, should the species be moved?
    
20. Construction – Measurement Adjustment: A carpenter cuts a wooden plank that is 6.75 feet long into 3 equal parts. What is the length of each piece?
    
21. Finance – Profit and Loss: A small business owner made a profit of $1,245.50 in January and a loss of $675.25 in February. What is the net result after both months?
    
22. Transportation – Fuel Consumption: A delivery company wants to reduce fuel costs. One driver uses 4.2 gallons per trip and completes 6.5 trips daily. The company wants to cut total fuel use by 20%. How many gallons should the driver be limited to per day to meet this goal?
    
23. Fashion Design – Fabric Planning: A designer has 30 yards of fabric and wants to make as many dresses as possible using 1.75 yards per dress. What is the maximum number of complete dresses she can make, and how much fabric will be left over?
    
24. Music Industry – Studio Time Planning: A music producer tracked the durations of three recordings as shown in the table below. Due to an error, Track 3 was deleted, and its time was subtracted. What is the total remaining recording time?