Instructions
- Read and Explore: Read the descriptions for each math concept. Pay close attention to how these skills are used in daily life and various careers.
- Apply Your Knowledge: Complete the practice tasks following each concept. Use the provided examples as a guide.
- Think Critically: For the "Career Connection" section, imagine yourself in the role described to solve the problem.
- Check Your Work: Use the Answer Key at the end of the worksheet to review your results after you have finished all sections.
Section 1: Addition & Subtraction (Basic Arithmetic)
What it is: Adding is combining numbers to find a total sum. Subtracting is taking one quantity away from another to find the difference.
Day-to-Day Use: Calculating the total cost of groceries, tracking how many minutes of screen time you have left, or measuring materials for a DIY craft project.
Professional Use: Accountants use addition to balance books; Carpenters use it to determine the total length of wood needed for a house frame; Nurses use it to track fluid intake and output for patients.
Task 1: The Shopping Spree You have a budget of $50.00. Calculate the total and your remaining change.
| Item | Price | Running Total |
|---|---|---|
| Example: T-Shirt | $15.50 | $15.50 |
| 1. Headphones | $12.00 | |
| 2. Notebook | $4.50 | |
| 3. Snacks | $6.25 | |
| 4. Water Bottle | $8.75 | |
| 5. TOTAL COST | ||
| 6. CHANGE FROM $50 |
Section 2: Ratios and Proportions
What it is: A ratio shows the relative sizes of two or more values. It tells us how much of one thing there is compared to another (e.g., 2:1).
Day-to-Day Use: Mixing paint colors, following a recipe (2 cups of water for every 1 cup of rice), or checking the scale on a map.
Professional Use: Chefs use ratios to scale recipes for large events; Chemists use them to mix solutions; Engineers use ratios to create scale models of bridges or aircraft.
Task 2: Scaling the Recipe You are making "Power Smoothies." The ratio of Fruit to Yogurt is 3:1 (3 scoops of fruit for every 1 scoop of yogurt).
| Number of People | Fruit (Scoops) | Yogurt (Scoops) |
|---|---|---|
| Example: 2 People | 6 | 2 |
| 1. 4 People | ||
| 2. 10 People | ||
| 3. 1 Person | ||
| 4. 20 People | ||
| 5. 5 People |
Section 3: Angles and Geometry
What it is: An angle is the space between two intersecting lines, measured in degrees. Geometry is the study of shapes, sizes, and the properties of space.
Day-to-Day Use: Adjusting a laptop screen for the best view, kicking a soccer ball at the right tilt to score, or arranging furniture to fit in a corner.
Professional Use: Architects use angles to ensure buildings are stable and aesthetic; Pilots use angles (headings) to navigate planes; Graphic Designers use angles to create logos and digital layouts.
Task 3: The Design Challenge Identify which type of angle (Acute, Right, Obtuse) would be best for these real-world scenarios:
- A square picture frame corner: ____
- A wide-open reclining chair: ____
- The narrow tip of a slice of pizza: ____
- Challenge: If a pizza is cut into 8 equal slices, what is the angle of each slice? (Hint: A circle is 360°) Answer: ____
Section 4: Percentages
What it is: A percentage is a number or ratio expressed as a fraction of 100. It is often used to describe parts of a whole.
Day-to-Day Use: Calculating a discount during a sale (20% off), checking the battery life on your phone, or determining a tip at a restaurant.
Professional Use: Marketing Managers analyze the percentage of sales growth; Doctors calculate the percentage of a dosage based on body weight; Meteorologists predict the "percentage chance" of rain.
Task 4: The Sale Rack Calculate the savings and the final price for the following items.
| Item | Original Price | Discount % | Amount Saved | Final Price |
|---|---|---|---|---|
| Example: Shoes | $60.00 | 10% | $6.00 | $54.00 |
| 1. Video Game | $50.00 | 20% | ||
| 2. Backpack | $40.00 | 50% | ||
| 3. Jacket | $100.00 | 15% | ||
| 4. Skateboard | $80.00 | 25% | ||
| 5. Hat | $20.00 | 5% |
Section 5: The Career Connection (Advanced Challenge)
Scenario: You are a Landscape Architect. A client wants a rectangular garden that is 10 meters long and 5 meters wide.
-
What is the Perimeter (the total distance around the edge) so you can buy fencing? Hint: Add all four sides together. Answer: __ meters
-
The client wants 20% of the garden to be a stone path and 80% to be grass. How many square meters of grass do you need to plant? Hint: First find the total Area (Length x Width), then find 80% of that total. Answer: __ square meters
Answer Key
Section 1: Task 1
- $27.50
- $32.00
- $38.25
- $47.00
- Total Cost: $47.00
- Change: $3.00
Section 2: Task 2
- 12 Fruit / 4 Yogurt
- 30 Fruit / 10 Yogurt
- 3 Fruit / 1 Yogurt
- 60 Fruit / 20 Yogurt
- 15 Fruit / 5 Yogurt
Section 3: Task 3
- Right angle (90°)
- Obtuse angle (Greater than 90°)
- Acute angle (Less than 90°)
- 45° (360 ÷ 8 = 45)
Section 4: Task 4
- Saved: $10.00 / Price: $40.00
- Saved: $20.00 / Price: $20.00
- Saved: $15.00 / Price: $85.00
- Saved: $20.00 / Price: $60.00
- Saved: $1.00 / Price: $19.00
Section 5: Career Connection
- Perimeter: 30 meters (10+10+5+5)
- Area: 50 sq meters (10x5). 80% of 50 = 40 square meters of grass.