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Pennsylvania Department of Education
Comparing Sets
Students count back with cubes to model subtraction problems. In this subtraction lesson plan, students compare sets of problems and record their results in a table.
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Discovering the Linear Relationship between Celsius and Fahrenheit
Students discover the linear relationship between degrees Farenheit and degrees Celsius. They manually compute the slope and y-intercept of the line passing through points. They convert Celsius to Fahrenheit degrees.
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Equivalent Fractions
Students describe importance of fractions in everyday life by identifying equivalent fractions and manipulating pizza pieces to show examples of equivalent fractions, and demonstrate knowledge of how whole can be divided into equal-sized...
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Graphing Solutions To Inequalities On A Number Line
Eighth graders graph solutions to problems on a number line. After discussing algebraic expressions, 8th graders discuss how to solve them using an inequality. They observe examples and then work problems at their desks and on the...
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Ratio and Proportion: Write and Interpret
In this ratio and proportion instructional activity, students explore example problems. Afterwards, they read story problems and use ratios and proportions to find the solution. This three-page instructional activity contains six...
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Multiple Choice Inequalities
In this inequality worksheet, students solve 10 multiple choice inequality problems. Students determine solutions to inequalities and write linear inequalities given word problems.
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Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. For this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
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Missing Numbers: 4-Digits
In this missing numbers worksheet, students fill in missing digits in 4-digit subtraction problems. A reference web site for additional resources is given.
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Snell's Law
Students determine whether the index of refraction of sample of Corn Syrup meets Federal standards. This task assess students' abilities to explain the procedures for investigation, plan for recording and organizing observations and...
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Curses and Re-Curses! It's Happening Again.
Students study basic recursion by exploring patterns in the data they generate from two simple probability-based experiments. In the first, students flip a coin to discover how many times they must flip it before it lands on "heads."...
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Hybrid Vehicles: Cut Pollution and Save Money
Students examine how driving a hybrid car can save money and cut down on pollution. In this hybrid vehicles lesson students complete an exercise that shows them how to work with proportions, percents, dimensional analysis and...
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My Test Book: Order of Operations
In this math skills worksheet, learners solve 10 multiple choice math problems that require them to use the order of operations. Students may view the correct answers.
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Moving Straight Ahead
Students analyze the relationship between speed, time and distance. In this math lesson, students plan a school trip. Students determine the efficiency and cost effectiveness of a trip.
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Number Properties - Know 'em, Like 'em, Use 'em
Ninth graders express mathematical properties through creation of advertising jingles.
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Number Properties-Know'em, Like'em, Use'em
Ninth graders explore mathematical properties through the use of an advertising jingle. They produce a commercial that is digitized and presented to the class. Students write a jingle that simplifies each property and helps classmates...
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Ratios (Cost of a Habit)
Students consider an individual habit and its cost. They study ratios and proportions, and use that knowledge to calculate the cost of a habit over extended periods of time. write a detailed comparison of the costs.
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Travel Mug Design
Young scholars create and develop a travel mug. They create visuals and a three dimensional infomercial. They apply an engineering design and demonstrate knowledge of thermodynamics involved in heat transfer. They illustrate Newton's Law...
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Commutative, Associative, and Distributive Properties
Middle schoolers explore the concept of the associative, commutative, and distributive properties. In the associative, commutative, and distributive properties lesson, students discuss real world examples of each property. Middle...
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the Max And Min of a Capt'n Crunch Box
Students use knowledge of area and volume to explore minimum and maximum. They create models and determine a "best" shape for getting the maximum volume or minimum area.
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Polynomial Multiplication
Pupils review information about how to multiply polynomials and then work in pairs to complete a worksheet. They use graphing calculations to help them solve their math problems.
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Function Tables
High schoolers practice representing problems found in the real world in terms that can be translated into mathematical expressions. The situations are represented in tables and graphs by students.
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Gift Wrapping
Sixth graders use the example of a gift wrapping service found in the mall in order to create a problem situation that can be solved mathematically. They convert the word problem into algebraic expressions to be solved.
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How to Practice Multiplication Drills Without Worksheets
Students practice their multiplication facts without the use of worksheets. They participate in an activity practicing their facts using a die. They record their progress and the game is adjusted as their level increases.
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Algebra: Lesson 4
Eighth graders participate in using algebraic proportional reasoning to find the missing amount that balances on a scale. Substitution is used to discover the missing objects on a scale. They answer multiple choice questions that are...