Curated OER
Characteristics of Exponential Functions
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
Curated OER
Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
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Functions and Inverses
Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
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Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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Weights of Objects
Students differentiate between the weights of an object on different planets. In this geometry lesson, students investigate different weights and graph their results as it relates to the different planets. They appreciate the design of...
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Pumped Up Gas Prices
Students calculate gas prices. In this transportation lesson, students tally the mileage and gas costs of their car for one months. They figure out how much was spent on gas and create a graph showing average gas prices over time.
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Inclined Plane and Pulley
Students describe how inclined plane and pulleys make work easier. In this physics lesson, students calculate work done and mechanical advantage of both simple machines. They collect data from the experiment and construct graphs.
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Approximation of Pi
High schoolers explore the concept of Pi. In this Pi lesson, students measure the circumference and diameter of a circle. High schoolers record the diameter and circumference measurements from their classmates. Students...
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Minimum and Maximum Perimeter
Pupils practice a variety of strategies with varying numbers of tiles to form shapes and then find the minimum and maximum perimeter for each one. Each group is assigned a different area to build either with square tiles or a geoboard....
Texas Instruments
A Tale of Two Lines
Students graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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Euler's Method Introduction
Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.
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Taylor Polynomial Examples
Students graph Taylor polynomials. In this calculus lesson, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
Texas Instruments
Convergence of Taylor Series
Learners analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series.
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Multiple Representations
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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Exploring Transformations
Young scholars investigate functions and their transformations. They move absolute value functions around on the coordinate plane, and then define the transformation and plot the new graph. The table feature of the TI-calculator is used...
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Discriminant Testing
The class works to identify solutions using the discriminant.They use part of the quadratic formula to find the number of solutions a quadratic equation will have. They calculate how-many times the quadratic function will cut the x-axis....
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How Many Solutions 2
High schoolers solve systems of equations. In this algebra lesson, students graph lines and identify the point of intersection. They identify the function to see if it is a function.
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Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
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Epidemic Proportions
Learners research epidemics that have devastated world population at various points in history. They share and calculate statistics obtained in their research and develop graphs comparing and contrasting how different epidemics affect...
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Using a Spreadsheet to Understand Density
Students use density to identify what metal a gold colored weight is made of. They use a spreadsheet to graph the experimental density of common metals and compare the know densities to their calculated density of the known metal.
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Linear Motion
Students are able to build an understanding of linear motion. They are able to define and calculate the speed and acceleration of various objects. Students are able to differentiate betweeen instantaneous speed and average speed. They...
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Domino Dash
In this speed worksheet, students use dominoes to measure the average speed of rows falling over. Students make a line graph to show the relationship between the length of the domino row and the time. Students answer 8 questions about...
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Determining Center of Gravity
Students complete calculations involving the structure and properties of matter. They engage in a variety of problem solving activities to help them determine the center of gravity.
Curated OER
Determining Center of Gravity
Learners complete calculus calculations involving the structure and properties of matter and determining the center of gravity.
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