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Algebra
Std 7:
Solve multi-step equations and inequalities including linear, radical, absolute value, and literal equations.
  • Writing the solution of an equation or inequality in set notation
  • Graphing the solution of an equation or inequality

  • Modeling real-world problems by developing and solving equations and inequalities, including those involving direct and inverse variation


Lesson Plans

Solving Linear Equations with the Yo-Yo Problem
Students explore linear patterns, write a pattern in symbolic form, and solve linear equations using algebra tiles, symbolic manipulation, and the graphing calculator.

Chicago Public Schools
This is a structured lesson plan that provides strategies for teaching, examples, worksheets, and assessments. (Day 33-37, 44, 62, several days of lessons that cover several bullets)

Purple Math
This is an online tutorial on how to solve linear equations.

Purple Math- How to solve radical equations
This online lesson is easily adaptable to a classroom lesson, complete with example problems.  Look under Beginning Algebra topics in the index and choose Solving Radical Equations.

Solving Literal Equations
A lesson plan including a lesson, practice and teacher resources for solving literal equations.

Direct Variation
A lesson plan including a lesson, practice and teacher resources.

Direct and Partial Variations
A lesson plan for identifying direct variations and solving direct variation problems.

Rearranging Formulas from Geometry for different variables
This is an online lesson that guides students through solving literal equations.

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.

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, 80)

Mystery Liquids
The Mystery Liquids lesson is a data analysis lab in which students gather mass and volume data for two mystery liquids, oil and water, and then use the data to explore linear functions. Connections to science are an important part of this algebra lesson, which deals with density. Active learning and communication are aspects of the lesson that are modeled for teachers. Students discuss the physical meaning of the slopes and y-intercepts of the various lines they have created from their scatterplots.

Purple Math
This is an online tutorial that guides students through graphing the solutions to linear inequalities. It extends to quadratic inequalities.

SOS Math
This is a lesson on absolute value and solving absolute value equations and inequalities. It shows how to use interval notation and the number line to show the solution set of absolute value inequalities.

Pennies, Pressure, Temperature, and Light
The major goal of this lesson is to collect data from a variety of experiments, and then determine what type of model best fits the data, and explain why. Students will explore a variety of relationships using pennies, pressure, temperature, light, and pendulums to determine the algebraic equation that best represents the pattern modeled by the variables involved in each situation.

Stressed to the Breaking Point
Students will explore the relationship between the amount of weight that can be supported by a spaghetti bridge, the thickness of the bridge, and the length of the bridge to determine the algebraic equation that best represents that pattern modeled by the three variables.

 

 

Resources:

Algebra Help
Online tutorial that guides students through solving basic linear equations.

Algebra 1 Online
PowerPoint, Lesson plans, Printable worksheets, Homework assignments under module section

Math. COM
Use this site to generate printable worksheets with answer sheets. FREE 

Solving Advanced Radical Equations
Addison-Wesley worksheets that gives extra practice on radical equations.

Investigating the Graphs of Linear Equations
This site has explanations of linear functions and equations with interactive sliders to let students change the parameters and watch the graph change. 

Radical Equation worksheet
In this lesson, students explore and solve radical equations.

Solving Advanced Radical Equations
This is a guided set of examples with links to the answers on the topic of solving radical equations.

 

 

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