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Understanding Relationships Between Quantities: Pre-Algebra Lesson

In this Pre-Algebra lesson, we will explore how to compare relationships between quantities in various ways. We will analyze commercials that compare products using qualitative and quantitative data. Through examples, we will investigate survey results that yield different conclusions, practice calculating ratios, and understand how to express comparisons as part-to-part or part-to-whole. By the end of this lesson, you will have a solid grasp of how to analyze and interpret these comparisons in real-world contexts.

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Understanding Relationships Between Quantities: Pre-Algebra Lesson

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  1. Pre-Algebra Tuesday, august 19

  2. Learning Target I will understand that relationships between quantities can be compared in different ways.

  3. Launch Can you think of any commercials that compare one product to another? https://www.youtube.com/watch?v=pt2O-LPzX4g Can you think of any commercials that compare by using numbers? https://www.youtube.com/watch?v=V_gGAPOZbFA

  4. Launch http://dashweb.pearsoncmg.com/main.html?r=15469&p=642 Statements: • 10 more people prefer Cola Nola than Bolda Cola • 2/3 of the people surveyed preferred Cola Nola Why did they end up with two different conclusions from the same survey results?

  5. Problem 1.1 A Question 1

  6. Problem 1.1 A Question 2

  7. Problem 1.1 A Question 3 • The ratio of 17, 139 to 11, 426 THINK: round to compatible numbers 17 139 rounded up to 18,000 and 11, 426 rounded up to 12,000…what is that reduced? • The ratio of 3 to 2 (a part to part comparison) could also be written as 3 to 5 ( a part to whole) comparison. 3 to 5 is 60% • The difference between 17, 139 and 11, 426 is 5,713.

  8. Problem 1.1 A Question 4 • 1.5 times as many people preferred Bolda Cola to Cola Nola (like the Samsung commercial made a comparison) • 6 out of 10 people preferred BoldaCola to Cola Nola

  9. Problem 1.1 A Question 4 • Remember: 60% means 60 out of 100

  10. Rate your understanding Learning Target I will understand that relationships between quantities can be compared in different ways.

  11. Homework tonight Complete page 7 of blue packet

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