1. Scatter Plots Dr. Lee

2. Warm-Up 1 Graph each point. 1. A(3, 2) 2. B(–3, 3) 3. C(–2, –1) 4. D(0, –3) 5. E(1, 0) 6. F(3, –2)

3. Common Core Standards 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

4. Objectives Students will be able construct and make conjectures about scatter plots.

5. Targets I can construct an scatter plot. I can interpret and scatter plot.

6. Essential Questions How are patterns used when comparing two quantities? How can you used data to predict an event?

7. Terms Scatter plot – a graph that shows the relationship between two data sets on the coordinate plane. Bivariate data – Data with two variables, or pairs, of numerical observations. Line of Best Fit - a line drawn on a scatter plot that is closest to most of the data points. **Hint** The line of best fit does not need to pass through every point

8. Launching the concept Positive Correlation: The correlation in the same direction is called positive correlation. If one variable increase other is also increase and one variable decrease other is also decrease. For example, the length of an iron bar will increase as the temperature increases Negative Correlation: The correlation in opposite direction is called negative correlation, if one variable is increase other is decrease and vice versa, for example, the volume of gas will decrease as the pressure increase or the demand of a particular commodity is increase as price of such commodity is decrease. Correlation or Zero Correlation: If there is no relationship between the two variables such that the value of one variable change and the other variable remain constant is called no or zero correlation

9. Launching the concept

10. Learn zillion video Examples from ConnectED

11. Launching the concept Your turn Antione 4x – 28 Athel 3x + 33y Todd 4x + 35 **Hot ? How would you describe the problem in your own words? **How could you demonstrate a counter-example?

12. Guided Practice Find the GCF of each pair of monomials 1.32x, 18 2. 27s, 54st 3. 18cd, 30cd Factor each expression. If you cannot be factored, write cannot be factored. 4. 36x + 24 5. 4x + 9 6. 14x – 16y

13. Independent Practice Find the GCF of each pair of monomials 1.24, 48m 2. 32a, 48b 3. 36k, 144km Factor each expression. If the expression cannot be factored, write cannot be factored. 4. 3x + 6 5. 2x – 15 6. 12x + 30y

14. T.O.D Error Analysis James is factoring 90x – 15. 90x – 15 = 15(6x) = 9 Where did he go wrong? Explain your reasoning. What properties might you use to find a solution?