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Unit Plan
Mathematics Vision Project

Module 8: Modeling With Functions

For Students 10th - 12th Standards
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
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Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 10th - 12th Standards
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
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Lesson Plan
Curated OER

Simplifying Square Roots

For Teachers 9th - 12th
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
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Lesson Plan
Curated OER

How Simple Is Your Rational Expression?

For Teachers 8th - 10th
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
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Lesson Plan
Curated OER

Rainbows, Bridges & Weather, Oh My!

For Teachers 10th - 12th
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
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Lesson Plan
Curated OER

The UP's and Down's of Exponents

For Teachers 9th - 10th
Pupils explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
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Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. In this piecewise functions lesson plan, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students...
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Worksheet
Curated OER

The Integration of Exponential Functions

For Students 11th - 12th
In this calculus learning exercise, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
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Lesson Plan
Curated OER

Linear and Exponential Models

For Teachers 10th - 12th
Students linearize data to determine if an exponential model is suitable. For this linearizing data to determine if an exponential model is suitable lesson, students graph the residuals of sets of data that appear to have an exponential...
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Lesson Plan
Curated OER

Scientific Notation III: Linear vs Exponential

For Teachers 9th - 12th
Learners after investigating examples of exponential growth students have an intuitive feel for the concept of exponential growth of a system.
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Lesson Plan
Curated OER

Oodles of Poodles

For Teachers 10th - 11th
Students solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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Lesson Planet Article
Curated OER

Using Innovative Approaches To Explore Functions

For Teachers 8th - 12th
Use student-directed resource sheets, multiple approaches, and group work instead of drill and kill.
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Lesson Plan
Curated OER

Numbers Beyond Reason!

For Teachers 4th
Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.
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Lesson Plan
Curated OER

Dead Body Math

For Teachers 9th - 12th
Students solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...
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Lesson Plan
Curated OER

Chill Out: How Hot Objects Cool

For Teachers 9th - 12th Standards
Teach how to explore exponential equations.  For this Algebra II lesson, learners investigate the graph that occurs as a hot liquid cools.  Students model the data algebraically.
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Worksheet
Curated OER

How Many Quasars Are There?

For Students 9th - 11th
In this quasars learning exercise, students read about how astronomers can detect quasars by their luminosity. Students use a given equation to solve 4 problems including finding quasar magnitude, determining the number of quasars with...
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Activity
NASA

Benford's Law

For Students 9th - 12th
In this Benford's Law learning exercise, high schoolers read about the first digit frequency of numbers. High schoolers solve 3 problems about sunspot numbers, solar wind magnetism and the depth of the latest earthquakes by using on line...
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Lesson Plan
Curated OER

A Polynomial Quilt

For Teachers 10th
Tenth graders create polynomial quilts. In this polynomials lesson, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
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Lesson Plan
Curated OER

Transformations and Exponential Functions

For Teachers 10th
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
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Lesson Plan
Curated OER

Carbon Dating

For Teachers 9th - 12th Standards
Simulate C-14 decay using M&M and Reese's Pieces candies. For this scatter-plot lesson, students perform an experiment to simulate the half life of C-14. Information is plotted on a scatter-plot. Students answer four comprehension...
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Lesson Plan
Curated OER

Exploring Quadratic Equations

For Teachers 11th - Higher Ed Standards
By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...
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Worksheet
Curated OER

Precalculus Exam

For Students 11th - 12th
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Lesson Plan
Curated OER

Credit Cards and Compound Interests-Exponential Growth

For Teachers 11th
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...
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Lesson Plan
Curated OER

Applications of Exponential Functions

For Teachers 9th - 11th
In this algebra worksheet, students solve word problems involving money. They calculate the interest earned over a period of time given the formula. There are 28 questions.

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