Pennsylvania Department of Education
Using Expressions and Equations
Sixth graders analyze expressions and equations. In this algebra instructional activity, 6th graders write algebraic sentences and solve for an unknown in a one-step equation. This instructional activity uses the formulas for the...
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Making Rectangles
Students study rectangles. For this math lesson, students use numbers, measurements and geometry to draw rectangles of varying sizes.
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Toy Planet
Students design a toy store, supply it with merchandise (on paper) and create advertisements. They also manage the store's debits and credits by using a spreadsheet. They consider how to promote the sale of their merchandise.
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You Are What You Eat (High School)
Students evaluate data from a statistical chart or graph which they find in a newspaper or magazine.
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Build a Snowplow
Learners design and build a snowplow using LEGO materials. They compete in an Engineer's Challenge to clear a path through Styrofoam peanuts.
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Numbers Up
Learners use Legos to build representations of a variety of numbers. They then sort and order their representations and pair them with the written number.
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Go LEGO!
Young scholars utilize LEGO's to replace cards for a game that replicates "Go Fish".
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Guess My Piece -working with Legos
Students participate in guessing their partners' hidden Lego pieces from their verbal clues. They work in partners to accomplish their goals. They are meeting a variety of math standards by completing this lesson.
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"Selling Seoul"
Students research the economy of Korea and work in a small group in order to reach decisions about aspects of the information found. They conduct class discussion about how people live in Korea and what is considered an acceptable...
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Properties of Fractals
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
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Irregular Fractals
Middle schoolers study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
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Growing Up
Students solve a given problem and explain their thinking using two number sentences to match their answer. One number sentence must use addition, one must use multiplication, and students must explain their answers. Includes sample...
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Marcy's Dots
Young scholars identify the pattern changes that could occur in a series using pictures with dots. They use the patterns on the worksheets to have a context to describe pattern in words. Students look to find the linear, quadratic, or...
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Legs in the Barn
Students listen to the problem being read. They then brainstorm possible approaches and are encouraged to plan ways of recording their work so that others examine what they have done and share their findings.
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Modeling With Circular Functions
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
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Block & Tackle
Learners participate in a lab experiment in which they discover the need for so many blocks and tackles on sailing ships. In groups, they make and test their predictions and practice measuring objects in various units. They record and...
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Inventors Timelines
Students create a class timeline using the patent year for their selected inventor or invention. Using a piece of yarn, they physically create a timeline, and create and answer math word problems using the years from the timeline.
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Lu-Lu
First graders practice their counting skills while playing a Hawaiian game called Lu-Lu. Lu-Lu is a Hawaiian counting game. It is played with four stones. Each stone is divided into four equal sections and dots are placed in the...
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Rolling For Value
Students participate in a lesson to comprehend the concept of probability while rolling dice. They recognize patterns while making observations and recording the data for each roll. Students also review place values while playing a game...
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Mental Addition And Subtraction
Sixth graders, while in the computer lab, participate in the game ArithmAttack and complete as many additions and subtraction equations as they can in sixty seconds. They access the web site Mathfrog.com and begin their adventure with...
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Mental Multiplication and Division
Sixth graders play a game of ArithmAttack, they complete as many multiplications or divisions as possible in 60 seconds. They go to the Mathfrog website, and select ArithmAttack. Students are asked to maximize the window, select the high...
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The Great American Alligator
In this alligator worksheet, students read a short essay describing the natural history of this reptile. Then students complete 3 fill in the blank and 3 short answer questions.