Students observe the derivative as an indicator of increasing/decreasing function behavior. They also see that the derivative is an indicator of local maxima/ minima function behavior. Students learn to associate the graph of a function with its derivative. REQUIRES TI 83/84 TECHNOLOGY
This video shows how to find the graph of y=sin(x) using the unit circle definition of sin(x).
Given incompleThis video shows how to find the graph of y=tan(x) using the unit circle definition of tan(x).
Lesson emphasizes that the x-coordinates of the intersection points of the graphs of two functions f and g are the solutions to the equation f(x) = g(x)
In this Khan Academy activity, students will graph logarithmic functions with transformations.
In this Khan Academy activity, students will use the graph of a non-linear piecewise function to determine the function.
Here you will use your knowledge of zeroes, intercepts, holes and asymptotes to sketch rational functions by hand.
The task involves either finding the volume of a pyramid or using the volume to find the base or height. This task requires students to rearrange the volume formula for a square pyramid to highlight the relevant quantity (volume, base and height).
Texas Instruments activity where students will create equations with two or more variables to represent relationships between quantities. They will also graph equations on coordinate axes with labels and scales.
Lesson and activity based on angle of rotation and trig functions.
The purpose of this task is to assess understanding of how study design dictates whether a conclusion of causation is warranted. This study was observational and not an experiment, which means that it is not possible to reach a cause-and-effect conclusion.
Students consider what it means to build a three-dimensional figure out of cross-sections and discuss the criteria to build a good approximation of a figure. After some practice of drawing cross-sections, students watch a 3D printer in action and make a tie between how a 3D printer works and Cavalieri's principle.
This task a could be used as an introduction to writing and graphing linear inequalities.
Class activity using volume, area and density.
Lesson calculating volume, area and density.
Random sampling is used to estimate the proportion of the Earth's surface that is covered with water.
Often newspapers, magazines or websites make population claims that are not correct. With all these erroneous population claims, students can test what someone says about a population and see if it is consistent with data. This is called a "Hypothesis Test." Before getting into the specifics of formal hypothesis testing it is important to understand the main idea of hypothesis testing and the role that simulation plays in this process.
In this Khan Academy activity, students will perform hypothesis testing to answer questions about different scenarios.
In this activity students will have the opportunity to collect and explore data. Students will perform an experiment in order to test The Psychic Staring Effect. The Psychic Staring Effect is the idea that people can sense that they are being stared at. The activity can be used to illustrate large-sample confidence intervals and hypothesis tests on proportions; two-way table analysis and the chi-square test; the binomial distribution and the binomial test.
The goal of this task is to interpret the graph of a rational function and use the graph to approximate when the function takes a given value.