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Solving Logarithmic Equations
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
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Birthday Problem
Young scholars identify the probability of an event occurring. Learners explore the complement of an event in finding why an event will not happen. They also explore basics of probability within algebra.
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MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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Higher Order Derivatives
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, high schoolers create a visual of what is happening with the equation.
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Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
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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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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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Walk the Line
Learners create constant speed versus motion graphs. They will perform linear regressions on their data to describe the graphs mathematically.
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Midsegments of a Triangle
Students analyze midsegments of triangles in this lesson. They use Cabri Jr. software to observe the relationships between interior angles and midsegments of triangles. Specific instructions for creating this lesson in Cabri Jr. are...
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Creating Parallel Lines and Transversals
Have your class create parallel lines. Students will learn how to identify the different angles created by a parallel line cut by a transversal. Then, they identify and name similar and different angles.
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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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Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
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Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
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Zeros of Polynomials
Students graph polynomials. For this Algebra II lesson, students investigate the graph of a polynomial to determine the value and the number of zeros. This lesson requires the use of a graphing calculator.
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Infestation to Extermination
Students solve problems with exponential growth and decay. In this calculus instructional activity, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
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Distributive Property
Students solve problems using distribution. In this algebra lesson plan, students factor equations using the distributive property. They graph their solution on a graph.
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Balanced Systems of Equations
Students solve equations. In this algebra instructional activity, students relate solving equations to a balanced scale. They add, subtract, multiply and divide on both sides to keep the scale balanced.
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Solving Systems by Graphing
Solve systems of equations with your super smart upper graders. They solve systems of equations and then graph two lines to find where they intersect. The focus on the activity is to have learners explore moving a point to...
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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...
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Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. For 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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Pythagorean Relationships
Oh that Pythagorean Theorem is so useful. Learners engage in a 45 minute learning activity that requires them to solve for missing angles and sides of a right triangle. They'll use the Pythagorean Theorem to find the rations of sides and...
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Altitude to the Hypotenuse
Can your class solve right triangles and identify the properties common to right triangles? They will investigate and state the relationship between the altitude to the hypotenuse and the two segments of the hypotenuse formed by the...
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Exploring Transformations: Translations and Reflections
Learners perform translation and reflection. They identify the coordinate points of the new graph and create a formula for the movement. They identify the pre-image the and after image.
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Quadratic Functions and Stopping Distance
Students solve quadratic equations. In this algebra lesson, students factor and graph quadratic functions. they use the properties of quadratics to calculate the distance.