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Algebra
Std 2: Analyze linear functions from their equations, slopes, and intercepts.
  • Finding the slope of a line from its equation or by applying the slope formula
  • Determining the equations of linear functions given two points, a point and the slope, tables of values, graphs, or ordered pairs
  • Graphing two-variable linear equations and inequalities on the Cartesian plane

Lesson Plans

Chicago Public Schools
This is a structured lesson plan that provides strategies for teaching, examples, worksheets, and assessments. Instruction on the TI-82/83 is provided, but the use of calculators is not essential. (Day 70-71)

Chameleon Graphing
This is an online tutorial with a cartoon lizard to guide students through the vocabulary.

Graphing and the Coordinate Plane
This lesson is designed to introduce students to graphing ordered pairs of numbers on the coordinate plane.

Tips for Teaching Cartesian Graphing
This is a "tips for teachers" article that gives several approaches to graphing. It includes pictures and demonstrations. It is published by NCTM and is research-based

Graphing Linear Inequalities
This is an online tutorial that guides students through graphing the solutions to linear inequalities. It extends to quadratic inequalities.

Chicago Public Schools
Graphing linear inequalities in 2 variables. This lesson is complete with calculator instructions and worksheets. Activities and assessments are included (Day 95-96).

Discovering the Linear Relationship between Celsius and Fahrenheit
This lesson is based on real-world data from the SR-71 Blackbird, a famous spy plane. It also relates Fahrenheit and Celsius temperature scales. Students may use the TI-83.

Battery Life on NASA Vehicles
This lesson shows the linear model for battery depletion. It is a piecewise linear model graphing power usage by a remote controlled airplane. (A little advanced, but perfectly usable)

Plugging into the Best Price
Students will use a graphing calculator and the instructional activity sheets to explore the parameters of a linear function and the significance of the slope and y-intercept. This knowledge will be used to interpret a linear relationship between the cost and time of performing a job.

Squares in the Light
This lesson is designed for students to investigate the relationship between the length of the side of a square and its distance from the light source. A 2 cm square is cut from a 3" by 5" card and placed on an overhead projector. The students will then measure the side of the square projected on the overhead screen and the distance from the screen to the projector. This data will be tabulated, graphed, and analyzed.

Hit Me If You Can!
This lesson is designed to help students learn to use the CBL and the motion detector. Using the CBL, TI-82 and motion detector, students will see that the speed and direction of their own body over time creates a different slope line. This can lead to discussions of linear equations, specifically positive, negative, and zero slopes. After this lesson, students should have a better idea of slope and y-intercept.

Bottles and Divers
Students calculate the rate of change between two points on a curve by determining the slope of the line joining those two points. They then extend this method to estimate the instantaneous rate of change at a given point by taking two points very close to and on either side of the given point.

Graphs and Functions
In this lesson, students learn the relationships between functions and graphs. Prerequisite skills include knowledge of the Cartesian coordinate plane.


Chicago Public Schools
This is a structured lesson plan that provides strategies for teaching, examples, worksheets, and assessments. Instruction on the TI-82/83 is provided, but the use of calculators is not essential. (Day 71-72)

 

 

Resources:

Interactive Equation of a Line
This site has explanations of linear functions and equations with interactive sliders to let students change the parameters and watch the graph change.

QELP
This is the best set of data sets in the world. Download data sets in Excel or Minitab format and add regressions using Excel or use the data for calculator activities. It is great for simple lines of best fit.

 

 

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