Pennsylvania Department of Education
Alike and Different
Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson plan, students make observations regarding properties of objects. Students classify object and build ideas about variables....
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Linear Inequalities
Ninth graders practice recognizing similarities and differences found in the graphing of inequalities and equations. Once observatioons are made they solve some of their own applying prior knowledge.
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The Play
Learners work together to solve word problems. They examine the concepts of functions and relations. They develop plans for roles in the play they are creating.
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Basketball
Tap into the competitive nature of teenagers as your class practices setting up and solving rational equations. This activity starts with a specific ratio of games won to games played, then asks how many more games must be played to...
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Virtual Field Trip
This hands-on resource has future trip planners analyze graphs of mileage, gasoline costs, and travel time on different routes. While this was originally designed for a problem-solving exercise using a Michigan map, it could be used as a...
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Shadow Casting
Eighth graders use a meter stick that is placed on a horizontal surface and an object is moved along it so that the shadow length can be measured at different distances from the light source. They solve real-world problems involving...
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The Algebra of Summation Notation
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
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More on Least Squares
In this least squares activity, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
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Representing the Unknown
Student use mental math to solve linear equations. In this algebra lesson, students solve one and two steps equations. They write expressions using variables to identify the unknown.
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Algebra/Geometry Institute Summer 2009
Students investigate linear equations through models. For this algebra lesson, students investigate solving one and two step equations. Review solving a basic equation before starting this assignment.
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Worksheet 33
In this math worksheet, learners find the solutions to the wave equations that are presented in a variety of situations. They also sketch a solution as directed.
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Expressions and Operations
In this expressions and operations worksheet, 8th graders solve and complete 7 different problems that include determining various expressions. First, they determine the equation that best represents total earning for a week. Then,...
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Quiz 8: Multivariable Calculus
Students list all equations needed to solve a three variable equation using the Method of Lagrange, after first signing an honor pledge to promise that they have followed the rules on the first page. They solve each equation, telling the...
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Radical Expressions
In this radical expressions worksheet, 9th graders solve and complete 15 different problems. First, they isolate the radical expression involving the variable. Then, students raise both sides of the equation to the index of the radical....
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Radical Expressions
In this radical expressions worksheet, 11th graders solve and complete 16 different problems. First, they isolate the radical expression involving the variable. Then, students raise both sides of the equation to the index of the radical....
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Using Data Analysis to Review Linear Functions
Using either data provided or data that has been collected, young mathematicians graph linear functions to best fit their scatterplot. They also analyze their data and make predicitons based on the data. This lesson plan is intended as a...
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The Elimination Method
Tenth graders investigate the Elimination Method in the solving of equations. They solve the equation using this method in examples with the teacher and then transfer the new knowledge to independent practice.
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Review for the Algebra One SOLs
Students review the standards for Algebra I. Using the text, they discover two problems that match each standard and solve them showing all steps on paper. They create a PowerPoint slide for each problem and go through the correct...
Charleston School District
Exploring Linear Functions
What does a graph or equation say about a situation? Lots! The lesson uses the concepts explored in the previous four lessons in the series and applies them to problem solving situations. Learners create an equation from problems posed...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
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How does the solution change?
Four simple equations, each with two variables, try to get at the important question of reasoning about equations. The problem isn't to solve the equations, but to understand the nature of their solutions. These equations address the...
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Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Achieve
Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
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Narrow Corridor
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).