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Using Representations to Model Problems

For Teachers 5th
student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...
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Algebra II: Crickets-Nature's Thermometer

For Teachers 9th - 12th
Students translate functional relationships into equations to answer questions. Students answer questions using different representations of the relationships: function rules, graphs of the function, tables of values, and equations and...
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The Mandelbrot Set

For Teachers 7th - 12th
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
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The Box Problem

For Teachers 9th - 12th
Young scholars investigate the concept of functions and how they are used with polynomials. They practice finding the zeros of functions and graph polynomial functions for the help of giving solutions. Students interpret the curve of a...
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You Gotta Have Heart

For Teachers 9th
Ninth graders investigate the concept of relations and interpret graphs and tables. They analyze given data and look for a pattern to determine if the numbers represent a function. Students practice solving scientific word problems that...
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Rescue the Pattern

For Teachers 6th - 7th
Students describe a wide variety of patterns. They extend a wide variety of patterns. Students write rules for a wide variety of patterns. Students represent, analyze, and generalize a variety of patterns with tables, graphs, and words.
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Order of Operations

For Teachers 9th
Ninth graders investigate the order of operations.  In this Algebra I lesson, 9th graders explore the rules of arithmetic and algebra as they review and practice simplifying increasingly complex numeric expressions using the order...
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Mine Shaft Grade 8 Slope

For Teachers 8th
Eighth graders investigate slopes using real life scenario. In this algebra instructional activity, 8th graders model and interpret real life data. They plot their data in a coordinate plane and discuss the results with the class.
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Multiple Representations

For Teachers 9th - 12th Standards
Every topic or subject has its own special jargon. Learners work on their math vocabulary as it relates to basic algebra terms. They define and identify function, functional notation, ordered pairs, rate of change, slope,...
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TI-Nspire Activity: What Does Your Representation Tell You?

For Teachers 9th - Higher Ed Standards
By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....
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The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
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Equations Lesson Plan

For Teachers 7th
Seventh graders play "What's my Rule" beginning with simple equations and working towards harder problems as student's gain confidence. They evaluate the equations by graphing them. Students identify the slope and y intercepts of the...
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Linear Relationship

For Teachers 9th - 12th
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in slope- intercept form. Answer key included.
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ART PROJECT

For Teachers 8th
Eighth graders, after researching the properties of graphs of conic sections, absolute value and inverse relations, make a drawing of precise functions and relations from a specified list of equations. The final design should analyze the...
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Linear Relationships - Standard Form

For Teachers 9th - 12th
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in standard form and then graph the equations using the slop-intercept form. Answer Key...
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LET'S PARTY!

For Teachers 7th - 12th
Learners identify a number pattern and extend the number sequence. They make generalizations given a specific pattern and create, describe, and extend patterns. They create a table that describes a function rule for a single operation...
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What Can I Afford?

For Teachers 6th - 8th
Middle schoolers explore the costs of various cell phone plans, and various types of banking accounts to determine which one would yield the highest returns if the money saved from the cell phones were placed in different accounts.
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Rise Over Run

For Teachers 9th - 12th
Students define the slope of the line, find the slope between any two points on the line, and allow them to name other areas where the slope is used. They explain why the slope is defined as the rise over the run.
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Slope

For Teachers 9th - 11th
Young scholars calculate the slope of a line. In this slope lesson, students use a graph, an equation or two points to help them calculate the slope of a line. They differentiate between a slope of zero and an undefined slope.
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How can my breakfast help the birds?

For Teachers 6th
Sixth graders design farms with a bird's habitat in mind. In this farm lesson plan, 6th graders research how sun grown coffee destroys a bird habitat, and then they make their own farm with a bird's habitat being preserved. They then...
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When Dinosaurs Ruled the World

For Teachers 3rd - 4th
Students graph the varying sizes of dinosaurs.  For this math and dinosaur lesson, students view dinosaur models and compare the different shapes and sizes of the dinosaurs.  Students complete a dinosaur math activity, read The...
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Earth Science

For Teachers 9th - 10th
In this earth science worksheet, learners answer 85 multiple choice and short answer questions on various earth science concepts.
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Introduction to Fractals: Geometric Fractals

For Teachers 6th - 8th
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
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River Optimization Problem

For Teachers 8th - 10th
Students define the different methods used for optimizing a particular element of a problem. For this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...

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