KTIP Lesson Plan

 

Name:  John DiEnno

Date:  Tuesday, June 21, 2005

Age/Grade Level:  9th

Subject:  Algebra

# of Students:  25

# of IEP Students:  0

Major content:  Using linear equations to discuss supply and demand situations in business

Unit Title: Linear Equations – Finding, Graphing, and Analyzing

Source:  This lesson was found at http://www.marcopolo-education.org/

 

 

ACTIONS

 

Goals and Objectives-  Students will:

 

 

Connections – The following Core Content requirements will be addressed:

 

·        MA-H-4.3.1 Students will write and solve linear equations describing real-world situations.  By analyzing supply and demand data in table form, students will plot points, find equations for supply and demand, and use these to find equilibrium points.

·        MA-H-4.3.2 Students will understand how formulas, tables, graphs, and equations of functions relate to each other.  This lesson will help students understand the connections between verbal, graphical, tabular, and algebraic representations of the same set of data.  By discussing factors which affect supply and demand, students will also recognize the strengths and weaknesses of each form for particular objectives.

·        MA-H-3.3.4 Students will use data and curve of best fit to make and defend predictions.  Students will apply a linear curve of best fit to a set of data points, and use the equation of this line to predict outcomes of supply/demand scenarios.

·        MA-H-4.3.5 Students will show how equations and graphs are models of the relationship between two real-world quantities.  Small-group and whole-class discussions will focus on the many factors which affect supply and demand in the real world.  Students will gain an understanding of the difficulty in finding an exact curve to represent a complex supply and demand situation, and will recognize that curves of best fit can be used to make valuable predictions in business.

 

Context - The focus of this unit is finding, analyzing, and graphing linear equations.  This lesson provides students with an opportunity to apply these concepts to real-world business situations.  This lesson will also help students recognize that the same set of data can be represented in various ways, and that each of these ways has its own strengths and weaknesses.  After this lesson students will have a deeper understanding of the relationship between independent and dependent variables by examining this relationship in the context of real-life situations.

 

Resources - Students will use a set of three activity sheets which can be printed from the curriculum page for this lesson.  They will use a straightedge for connecting data points, and a graphing calculator for finding curves of best fit.  Transparencies of the activity sheets will be used during in-class discussions.

 

Procedures - Students will work in small groups of 3 or 4 during the first period of this lesson to find supply and demand equations for a given set of data points.  Using these graphs, they will then answer a set of questions which require interpretation of the information.  Students’ prior knowledge of how to find a linear equation using two data points will be instrumental during this group activity.  Class discussions following this activity will be used to strengthen understanding of the real-world implications of the material, as well as to gauge individual progress.  Students will work in assigned pairs to complete the second day’s activity.

 

Student Assessment - Formative assessment will be made by verbally quizzing students during the group activities, and by whole-class discussion following the activity.  Summative assessment will be made in three parts.  Each student will receive a grade for the group activity from day 1, the group activity from Day 2, and an individual grade for the homework assignment due at the beginning of day 2.  A rubric will be used to formalize the performance criteria for these summative assessments.  The rubric can be found on the assessment page of this site.

 

REFINEMENT

 

IMPACT

 

Reflection/Analysis of Teaching and Learning

 

 

REFINEMENT

Lesson Extension/Follow up: 

 

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