MTH-1120 1.3-1.4

Key Calculation Skills

  • Using Calculators: Students are encouraged to practice entering functions and graphing them using their calculators.

  • Identifying Vertex: The vertex of the parabola (minimum point) is important and can be found using calculator functions.

    • Vertex Calculation: To find the vertex, use the second and then trace functions on calculators, selecting the right options to find left and right bounds.

New Learning Objectives

  • Injector Learning: Students will be acquiring skills to calculate and graph linear functions, starting with the examples presented today.

  • Statistical Functions: Introduction to scatter plots and how to use calculators for statistical data representation.

    • Entering Data: The students will learn to input x (years after 2010) and y (associated values) into their calculators.

Overview of Functions

  • Linear Functions: Discussion on the properties of linear functions, including slope and intercepts.

  • Slope Interpretation: Students are learning to interpret slope values and how they relate to rates of change in real-life contexts.

Practice and Engagement

  • Collaborative Work: Students are encouraged to work together on problems and share solutions.

  • Skill Checks: Time is given for students to practice independently while the teacher circulates to provide assistance as needed.

  • Homework Assignment Reminder: Homework is due tomorrow, with specific focus on practicing skills learned in class.

Addressing Misunderstandings

  • Clarification on Functions: Examples provided to clarify doubts regarding finding intercepts by letting y equal zero in equations to solve for x intercepts.

  • Avoid Confusion with Parentheses: Emphasis on using correct notation in calculators to avoid miscalculating expressions.

Transition into New Concepts

  • Game Plan for Next Class: Clear strategies laid out for upcoming lessons, including types of functions and word problems relating to linear equations.

  • Identifying Types of Lines: Introduction of various forms of line equations (slope-intercept, point-slope, etc.) and the importance of recognizing them in equations.

Application in Word Problems

  • Real-World Applications: Examples included to demonstrate how algebra and functions apply in real-world scenarios, specifically around income changes over time and graph interpretation.

Homework Preparation

  • Encouragement for Practice: Strong encouragement for students to apply learned concepts in their homework, specifically around graphing and interpreting linear relationships.

  • Future Lessons Outline: Preview of upcoming topics and structure for continued learning in linear functions.