1. Week 2 lesson 3: 2.3 visualizing data Week 2 lesson 3: 2.3 visualizing data Students will graph the relationship between independent and dependent variables. Recognize linear and direct relationships and interpret the slope of the curve. Recognize quadratic and inverse relationships.

2. cfu Name one part of today’s objective

3. Graphing data: Direct instruction Independent vs. dependent variables Independent is manipulated Dependent changes based on the independent variable Read the problem solving strategies on pg. 31 and summarize them in your notes.

4. cfu In the following example, identify the independent and dependent variables: ◦A student wants to analyze how the range of a rocket changes by changing the angle of trajectory. ◦A stats student wants to analyze the relationship between mileage (how far it will travel) and gallons of gas for a car.

5. Common types of graph relationships Linear: dependent variable varies linearly with independent variable  Linear graphs can be described by the equation y = mx + b

6. Dot activity On a sheet of paper folded into quadrants you will be making as many dots as you can over 2,4,6, and 8 second intervals. Your data will be collected on a t-chart and then plotted on a graph. Identify your independent and dependent variables. Make sure they are correctly labeled on your graph. Draw a best fit linear graph (Don’t connect the dots). Write the mathematical model of your graph using the point slope formula y = mx + b.

7. Non linear: will most often be quadratic or inverse in nature. Common types of graph relationships Y = m/x Y = mx 2

8. cfu In your own words, explain the difference between the following three relationships: ◦Linear ◦Quadratic ◦Inverse

9. Pair share Work out problems 9-10 pg 748 and practice problem 21 on pg 36

10. Analyzing data and straightening a curve Physics skills determining relationships from graphs (with Logger Pro) Using logger pro: how to generate a graph how to label the graph how to manipulate data (calculated column) how to analyze data finding the mathematical model (linear fit)

11. Independent practice: Physics skills worksheet: determining relationships from graphs Using the data sets from the Physics skills worksheet, analyze lines created on the graphs and determine if the relationship between independent and dependent variables are:  Linear  Quadratic  Inverse If quadratic or inverse, manipulate the independent variable to straighten the curve, then find the slope of the line and come up with the equation for the line using the y= mx +b format.

12. Partner practice Circles lab Using graphical analysis, students will ◦Determine the relationship between the circumference and radius of a circle. ◦Determine the relationship between the radius and area of a circle. ◦Use the mathematical models for each graph to extrapolate data.