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Math Practice U5 L2

Unit 5 Math Practice Links to L1-2, 5-7, 10
Live Lesson Recording
*Passcode can be found on the Connexus Pushpin under your Math Class! Use the one for Mrs. Garcia!

Function of the Day:
What do you know?

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Vocabulary Terms - Define/Illustrate

Bivariate data

cluster
Outlier

5 Problems - SHOW ALL WORK!

What do you think this graph might look like?
Would all the data points line up?
Would all the data points be going in the same direction?
Would there be any outliers?

The table and the scatter plot show Miranda’s Quiz Scores, What do you notice about the scores? Explain your answer below:

Make a scatter plot of the data in the table:

What do the x-coordinate and y-coordinate represent?

Is there a relationship between fat and calories? Explain.



Make a scatter plot of the data in the table:

Does there appear to be a relationship between temperature and chirps? Explain.
Fill in the blank with What do you think may happen on this scatter plot? Why do you think that?


What do I need help with?

1 answer

Function of the Day:

What do you know?

  1. A function describes a relationship between two variables.
  2. Each input (x-value) has a single output (y-value).
  3. Functions can be represented in various forms: equations, tables, and graphs.
  4. The graph of a function passes the vertical line test (no vertical line intersects the graph more than once).
  5. Linear functions create straight-line graphs; nonlinear functions create curves.
  6. Functions can be classified as increasing, decreasing, constant, or periodic.
  7. Functions can be composed or transformed to create new functions.
  8. The domain of a function is the set of all possible input values.
  9. The range of a function is the set of all possible output values.
  10. Functions can model real-world scenarios, such as population growth or physics phenomena.

Vocabulary Terms - Define/Illustrate

  • Bivariate data: Data that involves two different variables, often analyzed to determine if there is a relationship between them.
    Illustration: Example - A table showing hours studied vs. quiz scores.

  • Cluster: A grouping of data points that are close together on a graph, indicating a concentration of values.
    Illustration: A scatter plot with points forming a dense area.

  • Outlier: A data point that is significantly different from the other points in a data set, often lying far away from the cluster.
    Illustration: A scatter plot where one point is much higher or lower than the rest.

5 Problems - SHOW ALL WORK!

  1. Graph Appearance: The graph may show a positive or negative trend, indicating a relationship between the two variables.

  2. Data Point Alignment: No, all the points may not line up perfectly; they often show some variation around a trend line.

  3. Direction of Data Points: Not all points may go in the same direction; some may be scattered in different areas indicating various relationships.

  4. Outliers: Yes, there may be outliers that deviate significantly from the overall trend of the data.

  5. Graph of the Data: A scatter plot can be drawn based on the scores that shows how scores relate to one another over time or respective quizzes.

Analysis of Miranda’s Quiz Scores

Scatter Plot Observations

  • Scores: Look for patterns in Miranda's quiz scores, such as overall trends (increasing, decreasing) and any clusters or outliers present.

Coordinates Representation

  • X-coordinate: Represents the quiz number or the sequence of quizzes.
  • Y-coordinate: Represents the score Miranda received on each quiz.

Relationship Between Fat and Calories

  • To state whether a relationship exists, analyze if there’s a trend where an increase in fat correlates with an increase or decrease in calories based on the scatter plot data.

Another Scatter Plot Analysis

Relationship Between Temperature and Chirps

  • Evaluate the scatter plot to see if there’s a correlation (positive, negative, or no correlation) between temperature and the number of chirps.

Prediction on the Scatter Plot

  • Prediction: I think the scatter plot may show a positive correlation where higher temperatures result in more chirps because warmer weather typically increases insect activity.

Help Request

What do I need help with?

  • Clarification on how to analyze relationships in bivariate data or understanding scatter plot interpretations.

Feel free to ask any further questions or for more in-depth explanations on specific topics!