This lesson was completed in class and is provided here for you to review.
a.Objective
The student will be able to determine whether two lines intersect based on the slope of each line.
RST.9-10.9. Compare and contrast findings presented in a text to those from other sources (including their own experiments), noting when the findings support or contradict previous explanations or accounts.
b. Introduction
Imagine you are skiing down a hill with a buddy in a straight line. As you are on your way down you realize you if you both continue with your respective lines, you will collide. This is because your lines have a point of intersection… a painful point of intersection
c. Model
Spend time finding the slope of various lines found in the text and compare them to each other. Notice how some are the same whereas others look similar but are very different and some just have nothing in common.
Now we begin to look at what these comparisons mean.
Write the word “interrogation” on the board and talk about how an interrogation is when two or more people meet to find a solution to a problem. Write the word “internal” and mention that when something is internal it is touching you. Finally, ask what it means when two lines intersect, also writing it on he board, underlining as you do the “inter” in each word. React based on the students answers, looking for the response that it means it is when two lines meet or touch. Mention that this happens when two slopes are different.
d. Guided Practice
Have the students work on problems in the book, finding the slopes of various equations and stating which pair of lines intersects. Walk around the room asking questions and probing for understanding.
e. Independent Practice
Assign the odd problems for homework so the students may check their answers. Be sure to state that work must be shown.
f. Assessment
For assessment purposes, collect the work from the guided practice to check for understanding and determine if/how the lesson needs to be altered.
a.Objective
The student will be able to determine whether two lines intersect based on the slope of each line.
RST.9-10.9. Compare and contrast findings presented in a text to those from other sources (including their own experiments), noting when the findings support or contradict previous explanations or accounts.
b. Introduction
Imagine you are skiing down a hill with a buddy in a straight line. As you are on your way down you realize you if you both continue with your respective lines, you will collide. This is because your lines have a point of intersection… a painful point of intersection
c. Model
Spend time finding the slope of various lines found in the text and compare them to each other. Notice how some are the same whereas others look similar but are very different and some just have nothing in common.
Now we begin to look at what these comparisons mean.
Write the word “interrogation” on the board and talk about how an interrogation is when two or more people meet to find a solution to a problem. Write the word “internal” and mention that when something is internal it is touching you. Finally, ask what it means when two lines intersect, also writing it on he board, underlining as you do the “inter” in each word. React based on the students answers, looking for the response that it means it is when two lines meet or touch. Mention that this happens when two slopes are different.
d. Guided Practice
Have the students work on problems in the book, finding the slopes of various equations and stating which pair of lines intersects. Walk around the room asking questions and probing for understanding.
e. Independent Practice
Assign the odd problems for homework so the students may check their answers. Be sure to state that work must be shown.
f. Assessment
For assessment purposes, collect the work from the guided practice to check for understanding and determine if/how the lesson needs to be altered.