9-12
This lesson contains extension activities that can be used as follow-ups to the light intensity investigation. The extensions rely on exponential models, but each uses a different context.
9-12
Students measure the diameter and circumference of various circular
objects, plot the measurements on a graph, and relate the slope of the
line to π, the ratio of circumference to diameter.
9-12
In this lesson, students investigate slope as a rate of change. Students compare, contrast, and make conjectures based on distance-time graphs for three bicyclists climbing to the top of a mountain.
9-12
In this lesson, students will investigate the Caesar substitution cipher. Text will be encoded and decoded using inverse operations.
9-12
In this cooperative learning activity, students are presented with a
real-world problem: Given a mirror and laser pointer, determine the
position where one should stand so that a reflected light image will
hit a designated target.
This investigation allows students to develop several rational
functions that models three specific forms of a rational function.
Students explore the relationship between the graph, the equation, and
problem context.
6-8, 9-12
Each student creates parallelograms from square sheets of paper and connects them to form an octagon. During the construction, students consider angle measures, segment lengths, and areas in terms of the original square. At the end of the lesson, the octagon is transformed into a pinwheel, and students discover a surprising result.
9-12
Following their introduction to the Caesar Cipher, students will now learn about the polyalphabetic Vigenere cipher. Text will be encoded and decoded using inverse operations.
9-12
Students use graphs, tables, number lines, verbal descriptions, and symbols to represent the domain of various functions.
9-12
Students will use a geoboard, geoboard interactive, or Geometer’s Sketchpad
® to help them discover the pattern of Pick’s Theorem.
9-12
Students will gather three examples from a geoboard or other representation to generate a system of equations. The solution will provide the coefficients for Pick’s Theorem.
