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Hāngī Sales Line Graphs

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Hāngī Sales Line Graphs

Hāngī Sales Line Graphs

Hāngī cooking in traditional earth oven

📊 Part 1: Creating Your Line Graph (Rārangi kōrero ā-rānei)

1. Use the data table below to create a line graph showing hāngī sales income:

Hāngī Sales Data:

Number of Hāngī: 0, 5, 10, 15, 20

Income: $0, $200, $400, $600, $800

Instructions: Plot each point on the grid below, then draw a straight line connecting all points. Remember to label your axes!

2. Label your graph axes using both English and te reo Māori:

X-axis (horizontal): ________________________________

Y-axis (vertical): __________________________________

🔍 Part 2: Interpreting Your Graph

3. What does the gradient (āheitanga) of your line tell us about hāngī sales?
4. Where does your line cross the y-axis? This is called the intercept (tapahi-whakamua). What does this mean in real life?
5. Circle the correct statement about the gradient:

For every 1 hāngī sold, income increases by $40

For every 5 hāngī sold, income increases by $200

Both statements above are correct

Neither statement is correct

🧮 Part 3: Making Predictions

6. Using your graph, estimate the income if you sold 12 hāngī:
7. Show your working to calculate the exact income for 12 hāngī:
8. How many hāngī would you need to sell to earn $1000? Use your graph to estimate, then calculate:

Graph estimate: _______ hāngī

Calculation:

🗣️ Part 4: Mathematical Vocabulary

9. Match the English mathematical terms with their te reo Māori equivalents:
1. Graph
2. Gradient
3. Point
4. Intercept
A. Pungarau
B. Rārangi kōrero whakaatu
C. Āheitanga
D. Tapahi-whakamua
10. Check all the features that your line graph should include:

Labelled axes

Appropriate scale

Plotted points

Straight line connecting points

Title

💭 Part 5: Real-World Applications

11. Fill in the blanks about hāngī fundraising:

If our whānau wants to raise money for the kura, selling _______ hāngī would earn us $600. The rate of income is $_______ per hāngī sold. If we had no costs to consider, selling _______ hāngī would help us reach our goal of $1200.

12. Explain in your own words why line graphs are useful for planning fundraising activities:
13. If the price per hāngī increased from $40 to $50, how would this change your line graph?

The line would be steeper (greater gradient)

The line would be less steep (smaller gradient)

The line would stay the same

The line would curve instead of being straight

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