Pre-Calculus Teacher Resources
Find Pre Calculus educational ideas and activities
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Students solve exponential equations using logarithms. In this solving exponential equations using logarithms lesson, students read a story on their Ti-Nspire about exponentials and logarithms. Students solve problems in the story using logarithms. Students use the power, product, and quotient properties to solve the stories' problems.
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson plan, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They calculate the basic trigonometric functions.
Young scholars review and analyze topics needed to be successful in calculus. In this precalculus lesson plan, students review the unit circle and its properties. The trigonometric ratios and its identities.
Pupils explore optimization problems. In this Pre-Calculus/Calculus/Algebra II lesson plan, students use Geometer’s sketchpad to investigate the dimensions of the largest rectangle that can be inscribed under a parabola. Pupils use their findings to solve optimization problems.
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review basic algrebra terminology that could be useful in the present.
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called Froggy and Wanda.
Learners investigate step functions. In this Algebra II/Pre-calculus lesson, students examine various taxi fare schemes and model the fares with step functions by making use of the calculator’s greatest integer function’s step function properties.
Students explore scatter functions. In this pre-calculus lesson, students model data, evaluate the function and use their model to interpolate or predict end behavior of the function. The lesson employs the use of a graphing calculator.
Students explore an optimization problem. In this Pre-Calculus activity, students investigate a problem in which the distance between three points is minimized in order to determine the location of a switchboard. Students use Geometer’s Sketchpad to explore and generate data, and use that data to hypothesize a function to describe the problem.
In this pre-calculus activity, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This activity would be a great warm up or fun test review.
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve test problems.
In this pre-calculus activity, students graph 18 equations on a calculator. Then they create a sketch of each the graph as it appears on the calculator.
Students relate polynomials to real life situations. In this algebra instructional activity, students graph equations through modeling and data collection. They must be comfortable doing word problems.
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry learners. This comprehensive lesson starts with writing and graphing linear equations to define a bounded region and calculating the areas and perimeters of the space. Using this as a base, the lesson then has learners revolve these regions to create solid figures and calculate the resulting volume. A real-world example using a bowling ball and visualization software caps off this in-depth instruction.
Baseball and statistics go hand-in-hand and knowing how to interpret, compare, and display this information is a key skill for any middle schooler. Using two sets of data, have young statisticians answer questions by constructing and comparing different representations of the data especially lineplots (dotplots), stemplots (including back-to-back stemplots) five number summaries, and boxplots.
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning calculator, it is also a computer algebra system (CAS).
We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can provide.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
Using the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.