Lesson Plan Template: General Lesson Plan
Learning Objectives: What should students know and be able to do as a result of this lesson?
Students will be able to:
- Understand that a linear equation can represent and describe (model) real world examples,
- Identify and explain the meaning of the slope as a rate of change in the context of a given model,
- Identify and explain the meaning of the y-intercept in the context of the given model.
Prior Knowledge: What prior knowledge should students have for this lesson?
Prior to this lesson, the students need to know how to do the following:
- Identify a linear function
- Identify the independent and dependent variables
- Find the slope of a line, given two points on the line
- Determine the equation of a line, given two points on the line
- Identify the slope and y-intercept when given a linear equation
Guiding Questions: What are the guiding questions for this lesson?
How do we use the slope and y-intercept in situations in the real world?
Answers will vary. In each case students should recognize that two quantities are changing in a consistent pattern, and that there may be an additional constant value that does not change. (For example: you can use the slope and y-intercept to explain the value of a used car over time, the cost of a taxi ride as the number of miles increases, your amount of money if you save on a regular basis.)
1) How can you identify the slope in a linear function? If you are given the coordinates of two points, find value resulting from the vertical variation divided by the horizontal variation. The slope tell you the ratio of vertical change to horizontal change. If you are given a linear equation in "y=" form, the slope will be the coefficient of x.
2) Explain the meaning of slope in a real world example. Answers will vary; this is provided for each example in the PowerPoint.
3) How can you identify the y intercept in a linear function? The y-intercept of a graph is the y-coordinate of the point where the line crosses the y axis. This means the value of the y quantity when the x quantity is equal to zero.
4) Explain the meaning of y intercept in a linear function. The y- intercept represents the value of the quantity represented by y when the value of the x quantity equals 0.
Teaching Phase: How will the teacher present the concept or skill to students?
- The teacher will use the PowerPoint as a guide, with the lesson alternating between the teacher guiding the students through an example, and then the students trying a similar example independently, followed by discussion and checking. A worksheet with all the examples from the powerpoint is recommended for student use. What's slope got to do with it Student worksheet.docx
- The teacher will ask questions to determine if the students understand the meanings of the slope and y-intercept in the context of the model. The teacher should refer to the guiding questions for this lesson, and the explanations for each example that are provided on the PowerPoint.
- Additional notes and answers are provided in the notes for each ppt slide.
Guided Practice: What activities or exercises will the students complete with teacher guidance?
- During the guided practice the students will be answering questions about the meaning of slope and y-intercept in a variety of real world examples (See PowerPoint for examples).
- The teacher will explain how each example of slope involves both the numerical value of slope (which they have learned already) and the qualitative aspect of slope (this involves the units are used for the variables, i.e. dollars per mile, pounds per week, dollars per year, etc.)
Independent Practice: What activities or exercises will students complete to reinforce the concepts and skills developed in the lesson?
The independent practice for the students is the last two examples in the PowerPoint file. The students will work individually. When everyone is finished, each example will be discussed and student responses will be asked for. A whole class discussion with verification of correct responses and clarification of any misconceptions will occur to provide the students with feedback as needed.
Closure: How will the teacher assist students in organizing the knowledge gained in the lesson?
After the discussion and checking of the independent practice examples, the students will complete an exit ticket 3-2-1 involving what they have learned about both the slope and y- intercept (last slide on PowerPoint)
- 3 things you learned about the meaning of slope
- 2 examples of how slope is used in the real world
- 1 one thing you learned about y-intercept
A short quiz with typical "real world" linear relationships similar to the class practice may be given at the end of the class period, or on the next day, after students have time for additional review and practice. if needed.
Throughout the lesson, the teacher will gather information about student understanding by posing questions, asking students to explain their thinking, and by circulating around the classroom and observing student work. Students may need additional explanation about how to interpret the meaning of slope in each example. They should be reminded to use both the numerical value of slope and the qualitative units of slope based on the definitions of the variables in each example.
Students may also need clarification about how to interpret the meaning of the y-intercept; the teacher will emphasize in every example that the y-intercept is always the value of y that corresponds to the value of x being zero.
At each phase of the lesson, the teacher will be able to gauge to what extent students are understanding these key concepts.
If students are comprehending well, then the teacher can proceed with the next step in the activity.
If the teacher observes that the students do not thoroughly understand something and are not ready to proceed, then additional explanation, examples, or discussion is recommended.
Feedback to Students
The teacher will provide feedback to the students throughout the guided practice and independent practice. The lesson is set up in a question and answer format, so the teacher will be able elicit responses both from the class as a whole and from individual students continuously. The teacher will reiterate and clarify any misconceptions or difficulties that the student answers might indicate.