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
Students will measure lengths on stringed musical instruments, and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence.
9-12
In the second lesson of this unit, students will use their discoveries from the first lesson to place frets on a fretless instrument. They will then compare geometric sequences with exponential functions.
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.
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
Both ends of a small chain will be attached to a board with a grid on it to (roughly) form a parabola. Students will choose three points along the curve and use them to identify an equation. Repeating the process, students will discover how the equation changes when the chain is shifted.
9-12
This lesson allows students to apply their knowledge of linear equations and graphs in an authentic situation. Students plot data points corresponding to the cost of DVD rentals and interpret the results.
6-8, 9-12
Each student constructs a tetrahedron and describes the linear, area and
volume measurements using non‑traditional units of measure. Four tetrahedra are combined to form a similar tetrahedron whose linear dimensions are twice the original tetrahedron. The area and volume relationships between the first and second tetrahedra are explored, and generalizations for the relationships are developed.
