 Montana Council of Teachers of Mathematics

# High School Lesson Plans

 Generalizing and Equivalent Expressions Activity Student Samples Applications of Recursive Formulas Credit Cards, Fruit, and MortgagesThis is a discovery lab using Excel that applies the use of recursive formulas to everyday applications. Students will look at the long term behavior of recursive models both numerically and graphically. Flappy Triangles or How Curved is Your Surface?This lesson has absolutely nothing to do with the popular app Flappy Birds! Flappy Triangles does however provide a very nice hands-on activity to introduce students to curved surfaces and non-Euclidean geometry through the familiar sum of the angle measures of a triangle.Click here for a picture of the device. Observing Change in QuadraticsStudents will observe change in quadratic equations and use this change to graph quadratic equations as well as apply the rate of change to the application of freefall. This lesson uses Excel spreadsheets but could be done by hand if shortened. The Fundamental Theorem of Variation Explore the Fundamental Theorem of Variation using a small group setting of Algebra II students. Students will explore how multiplying the independent variable by a constant affects direct and inverse variations. The Living CircleOn a common ground, I can relate geometric concepts to my students and nudge them into the exploration of circles Cabri Tool Bars on the Ti-84 An Introduction to Cabri Jr 2 Geometric TansformationsIn this activity, students will use dynamic geometry software to draw conjectures about modeling geometric transformations with functions. Solving One-step and Two-step Equations BingoStudents will create a conjecture based on the outcome of a tree diagram and test the outcome by changing the choices. Beading Probability ActivityStudents will create a conjecture based on the outcome of a tree diagram and test the outcome by changing the choices. Figurate Numbers SequencesAn activity designed to lead students to the understanding of the sequence of figurate numbers – square, rectangular, and triangular. Visualizing Similarities in Right Triangles Visualizing Similarities in Right Triangles using 3 X 5 Cards Probability and the Game of Sticks This is a lesson I adapted from NCTM’s publication, “Changing the Faces of Mathematics: Perspectives on Indigenous People of North America”. I expanded it and spent time creating worksheets that guide the group through a probability game. It brings about conversation of what is a permutation, combination, experimental, theoretical probability and how they are interrelated. This also contains a spreadsheet that exemplifies this relationship even further using 10000 trial simulation. Simulation Spreadsheet Simulating with Binomial Random Variables In this lesson, students consider the scenario of an airline that institutes a policy of overbooking seats. They will simulate the binomial random variable by generating random integers and then analyze the policy to make a decision about the best course of action for the airline. Submitted by Michael Prince Grade level: AP Statistics Writing Equations in Point-Slope Form As an alternate to point-slope form, the learner will use slope-intercept form to write the equation of a line. M and M s Anyone? Just think of it, having just left Walmart and arrived home, you open your band new fresh bag of M and M s. With no kids around you spread them out on the table, eat your favorite colors first, and just enjoy! Then it hits you. . . the mathematician in you begins to ponder . . . what would happen if I spilled my bag of M and M s? Would all the M s land up or down? Is there any identifiable pattern that may exist? The joy of it all has been intercepted by your mad desire to find out the answer to this and many other questions. First look at the shape, spread, what we may expect to see, etc, as well as the type of distribution to see if there is any recognizable pattern. This activity explores binomial distributions. Counting Structured Patterns Counting problems often ask How many ways to ... These questions require that all the ways have to be identified and that no duplicates are counted. To avoid just listing all the ways (which could take a long time and be subject to inaccuracies), it is better to find an organized method that covers the ways. Counting Structured Patterns Spreadsheets Euler's Nine Point Circle An activity with Euler's nine point curcle and constructions. CSI stats: The Case of the Missing Cookies An activity on Linear Regression Unit Circle Students will construct a circle with degree measures of the special angles used in trigonometry. Then they will do the same for radian measures of the same angles. Finally they will construct a unit circle with (x,y) coordinates of the special angles. This organizes and keeps all of this information in one place. Transformations Students will connect graphs, tables and equations and predict how the graph of a function should shift left, right, up, or down given a certain change to the original equation. Jeopardy Power Point on Transformations Pile Patterns Represent functions in a variety of ways including tables, graphs or diagrams, verbal descriptions, and symbolic expressions Pile Patterns Teacher Notes Search for the Gold Search for the Gold uses an innovative way to review material with your students. GeoGebra Applets Click here to see several GeoGebra applets that you can use with your class as a demonstration or in a computer lab. Beading Patterns Using Reflections Students will understand the importance of quilting in the Native American culture, both present day and past. Maze for a Grade This activity is designed to have students compare their experimental probabililty to the theoretical probability. Mixing it Up with Conditional Probability Students will collect their own data on the color proportions of plain M&M’s and Skittles for this activity. Paper-Rock-Scissors Explore the relationship between experimental and theoretical probabilities by introducing the concept of a fair game. Cylinder Problem Normal Distributions Activity Sampling Distributions Activity Mobius Strip Activity Monty Carlo Birthday Problem Classifying Number Sets Using Motion to Explore Functions Exploring Volume of Prisms

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