Student Teaching edTPA Lesson Plan Template
Subject: Mathematics
Central Focus: Graphing and Writing Linear Equations
Essential Standard/Common Core Objective:
G-GPE.5 - Prove the slope criteria for parallel and
perpendicular lines and use them to solve geometric
Date submitted:
Date taught:
problems (e.g., find the equation of a line parallel or
perpendicular to a given line that passes through a
given point).
Daily Lesson Objective: Students will be able to graph linear equations in Slope-Intercept Form.
21st Century Skills: Collaboration, Communication.
Academic Language Demand (Language Function and
Vocabulary): Graphing, slope, horizontal line, vertical line, x-and
y-intercepts.
Prior Knowledge: Knowing what an ordered pair is. Knowledge of the Coordinate System.
Activity
1. Focus and Review
2. Statement of Objective
for Student
Description of Activities and Setting
Start by going over the homework from the previous day. Answer any student
questions.
1. Interpret the slope of a line as a rate of change
2. Find the slopes of lines given two points
3. Find the slopes and graph horizontal and vertical lines.
4. Find the slopes and y-intercepts of lines and then graph the lines.
5. Write the equations of lines given the slopes and y-intercepts.
Class will start by asking students “Have you ever heard of the word
“slope””? Following with the question “Where have you heard it? Give me
some examples”. We will start by learning what a slope is, which is the rate
of change. Slope is defined as
3. Teacher Input
𝑟𝑖𝑠𝑒
𝑟𝑢𝑛
. Rise meaning we can go up or down. Run
meaning we can go left or right. In order for us to find the slope, we use the
formula y2 – y1 / x2 – x1. With points (x1, y1) , (x2, y2). The slope is also known
as the “m” in y = mx + b. Slopes can be positive or negative. Lines with a
positive slope will go up as we move along the line from left to right. Lines
with a negative slope will go down as we move along the line from left to
right. (Ask the students “. Lines with a negative slope will go…?” They
should be able to make the connection, so have them answer).
Horizontal lines will always have a slope of 0. Vertical lines will always have
an undefined slope.
Slope-Intercept Form: Known as y = mx + b. m is the slope and (0, b) is the yintercept.
4. Guided Practice
1. Given the linear equation y = 3x + 6, determine the slope and y-intercept.
Graph the y-intercept, then create the line by finding a second point.
Remember that the “m” part is the slope, so the slope is 3. The y-intercept is
written in (0, b). Knowing that y = mx + b, our y-intercept is (0, 6). After
graphing (0, 6), we find a second point by using the slope, which is 3. 3 is the
same a
3
, so we can move three spots up, and one spot to the right to find the
1
second point.
Time
2. Find the slope using the following points (-2, 0), (1, 5). Using the slope
formula, our answer will be 5/3.
3. Find two points on the line 3y – 12 = 0 to be graphed.
This is solved by solving for y. Subtract 12 from both sides of the equation
and divide both sides of the equation by 3, so y = 4. Since we have y = b, we
know that we are going to have a horizontal line. Meaning that we always
have 4 to be our y-coordinate. So, we could pick any number for x, such as (3, 4) and (6, 4).
Follow up question: What is the slope of this equation? Since we have a
horizontal line, we are going to have a 0 slope.
4. Given the following slope and y-intercept m = 3, and (0, 2), find the
equation of the line. Simply substitute what we are given in the slope-intercept
form. So, we have y = 3x + 2.
¾
5. Independent Practice
1. Given the following points, (-4, -7), (8, 2) find the slope. Answer:
2. Given the following slope and y-intercept m = 2/5, and (0, 0), find the
equation of the line. Answer: y = 2/5x.
Also, determine the graph of 2/5x by finding a second point.
3. Given the linear equation 7x – 3y = 6, determine the slope and yintercept. (First, you want -3y to be on one side). Answer: m = 7/3, yintercept (0, -2).
4. Graph y = 7. Is it a horizontal or vertical line? What is the slope?
Answer: Horizontal line, slope = 0.
5. Graph x = 3. Is it a horizontal or vertical line? What is the slope?
Answer: Vertical line, slope = undefined.
6. Assessment Methods of
all objectives/skills:
For homework, students will be given three problems similar to the independent practice.
Also, students will have to complete any independent practice work they didn’t complete
for homework.
7. Closure
Students will have the opportunity to ask any questions concerning the day’s
lesson. They will be given a small preview of the next lesson.
8. Assessment Results of
all objectives/skills:
Students should be able to score a 100% on their homework.
Targeted Students Modifications/Accommodations
Student/Small Group Modifications/Accommodations
No modifications needed.
Students will first work on the independent problems
independently, then after some time I will allow the students to
work in groups if they choose to.
Materials/Technology: Graph paper (optional), students may use their notebooks or their own paper.
Reflection on lesson:
CT signature: ________________________ Date: ______ US signature: ____________________________Date: ______