UTPA STEM/CBI Courses/Algebra/Slope and Linear Functions

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Course Title: Algebra 1

Lecture Topic: Slope and Linear Functions

Instructor: Favio Rodriguez

Institution: ECHS

Backwards Design

Course Objectives

• Primary Objectives- By the next class period students will be able to:
  • Students will find the slope and find the linear function.
  • Determine the slope from different situations such as two coordinates and graphs.
  • Find the linear function on certain information.
  • Have real life examples to make it relevant

• Sub Objectives- The objectives will require that students be able to:
  • Find the slope from a graph by doing Rise/Run.
  • Determine the slope from two coordinates
  • Determine the linear function with given information.
  • Make connections on past knowledge (if any).

• Difficulties- Students may have difficulty:
  • Understand the direction of the line
  • Setting up the slope formula
  • How to use Rise/Rune
  • Understanding the y-intercept
  • How to find the y-intercept
  • Using slope-intercept form
  • Make connections

• Real-World Contexts- There are many ways that students can use this material in the real-world, such as:
  • Engineering
  • Biology
  • Business and Economy
  • Chemistry ...ets
  • Examples:
    • Handicap Ramps
    • Modeling Heart rate
    • Modeling scenarios in economics, engineering, aviation, and many other application

Model of Knowledge

• Concept Map
  • Variables, coefficients, slope, positive, negative
  • Slope-intercept form, y-intercept,

Content Priorities

• Enduring Understanding
  • Type of slopes
  • Determine the slopes from different situations
  • Compute the linear equation

• Important to Do and Know
  • Adding and subtracting rational numbers
  • Know how to work with fractions
  • Solving equations
  • Understand patterns and graphs

• Worth Being Familiar with
  • Understand the concept of slope
  • Understand how the slope is necessary to find the linear function

Assessment of Learning

• Formative Assessment
  • In Class (groups)
    • Doing a model for a handicap ramp
    • ADA standards**
  • Homework (individual)
    • Class project
    • Paper based
  • Summative Assessment
    • In class exam

Legacy Cycle

OBJECTIVE

By the next class period, students will be able to:

• Determine the slope from two points, from a line, parallel or perpendicular
• Determine the linear function from a given situation either with numerical values or real life example

The objectives will require that students be able to:

• Add and subtract rational numbers.
• Solve equations.
• Find the slope from a graph, from two points, if the lines are parallel or perpendicular.
• Determine the linear function by using different approaches.

THE CHALLENGE

SCENARIO: A business needs architectural services to build a handicap ramp. However, the ramp needs to be constructed under American with Disabilities Act (ADA) standards. Your company was chosen because of your incredible and awesomeness architectural and engineering skills.

PROBLEM: The main entrance is located four feet above ground and 20 feet of front clearance entrance. YOUR JOB: You need to create a handicap ramp that meets ADA standards and is efficient for the business.

GENERATE IDEAS

How would students be able to find solutions for this type of problem?

MULTIPLE PERSPECTIVES

The students work in small groups for 10 min and come up with ideas.

RESEARCH & REVISE

The teacher introduces the concept of slope. The teacher then explains how to find the slope from different problems; the students will work on problems. Teacher will explain how public and commercial buildings must follow a code of building and talk about the specifications of building an access ramp. Students and teacher alike will talk about how to solve the problem of the handicap ramp.

TEST YOUR METTLE

Give homework problems to students

GO PUBLIC

Students will have to make a scale model to represent the given scenario.

Pre-Lesson Quiz

1. question

Test Your Mettle Quiz

1. Find the Slope of each graph.

2. Find the slope from the given equations

a. 0 = -5 -2x – y

b. 3x -4y = 9

c. 5x=10

3. Find the slope from the given coordinates

a. (2,1),(4,5)

b. (5,7),(10,1)

c. (-1,-4),(2,10)

4. Find the slope if the line if it is parallel to y = 5x+10

5. Find the slope of the line if it is perpendicular to y = 7x -10