We practiced sketching and writing equations of a line given 2 points. Then we used the point-slope form of a line to graph the line.
Assignment: Complete the Point-Slope Form practice worksheet.
Point-Slope Form – We learned to write and graph linear equations in point-slope form. We analyzed different forms of a line to interpret the slope and y-intercept of a linear model in the context of data. We learned how to use the point-slope form of a linear equation to write the equation of a line using the slope and any point on the line.
Assignment: Complete the assigned problems for homework.
2-1 Slope-Intercept Form – We reviewed the slope-intercept form of the line to sketch each line on a graph. First we labeled the steps to do this in our math notebook. Step 1 is to identify the y-intercept in the equation y = mx + b and plot (0, b). Step 2 is to plot the slope m as (vertical change)/ (horizontal change) the second point. Step 3 is to draw a line through the points. Then we practiced finding the slope of a line using 2 given points
Assignment: Complete the assigned problems for homework.
2-1 Slope – We practiced finding the slope from a pair of points. We labeled the first set of points as the coordinates (x1, y1) and the second set of points as (x2, y2). Then we practiced using the formula for the slope:
m = (y2 – y1) / (x2 – x2). Next, we practiced finding the slope from the graph of a line. First, we looked at the eight linear graphs and determined whether the graph of each line was positive or negative. Then we located two points on the line and labeled them as (x1, y1) and (x2, y2).
2-1 Slope-Intercept Form – We reviewed the steps to graph a linear equation from the slope-intercept form. Then we reviewed the steps to find the equation of the line in slope-intercept form from a graph. We practiced finding the slope from a pair of points m = (y2 – y1) / (x2 – x2) then we practiced finding the y-intercept by substituting a point on the line and the slope into the slope-intercept form of a linear equation.
2-1 Slope-Intercept Form – We documented steps to graph and write a linear equation. Next we practiced finding an equation of a line that passes through 2 points. We practiced word problems where the point-slope formula helped us find the answer.
Assignment: For homework complete assigned problems.
Slope-Intercept Form – We learned how to write linear equations in two variables using slope-intercept form to represent the relationship between two quantities. Then we interpreted the slope and the intercept of a linear model. We practiced solving linear equations in the slope-intercept form, y = mx + b, where m is the slope, and the line intersects the y-axis at (0, b), so the y-intercept is b. We learned how to identify a positive or negative slope from the position of the line. Then we identified graphs of zero and undefined slopes.
Assignment: For homework complete assigned problems.
We will solve quadratic equations using factoring, completing the square. the quadratic formula, and graphing. The pros and cons of each method will be discussed so that an appropriate method can be used in each problem given.
Assignment
None given.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Ben seemed to not be able to follow what I was doing today. He has been having trouble logging in and being engaged in the class. It will be best for Ben if he has a face-to-face teacher, online is not for him.