Lesson plan using a Cyberchase activity, students are introduced to a problem that gives them a sense of how quickly exponential growth accrues in the classic problem about a chess board and grains of rice. The context is extended to consider applications using money growth and chain letters. They are introduced to the algebraic representation for exponential growth.

This is a very open-ended task designed for students to develop some of the basic ideas surrounding exponential growth. While implementations will vary, the core idea is that each fold of the piece of paper doubles the height of the stack. Combined with an estimate of the original thickness of the paper and the distance to the moon, this is enough information to deduce the minimum number of folds to get there.

The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of selected math standards. Each video is an audiovisual resource that focuses on one or more specific standards through examples and illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard, although the examples can be adapted for instructional use.

In this Khan Academy activity, students will construct and graph vertical and horizontal lines.

Students will use a video about two rival competitive eaters to explore linear and quadratic patterns.

In this Khan Academy activity, students will construct linear equations from a graph.

In this Khan Academy activity, students will answer questions about a linear word problem.

Students explore the dependence of one variable on another and develop a formula describing the number of toothpicks as a function of the number of squares.

Students recognize when a table of values represents an arithmetic or geometric sequence. Patterns are present in tables of values. They choose and define the parameter values for a function that represents a sequence

This lesson provides students with an introduction to exponential functions. The class first explores the world population since 1650. Students then conduct a simulation in which a population grows at a random yet predictable rate. Both situations are examples of exponential growth.

This task explores the real world topic of building light rails. Throughout the implementation of this task the students will learn about the cost of building railways and how to implement them within a budget. This task explores such mathematical concepts of using coordinates to find the distance between points, using coordinates to build polygons and find the area and length of sides, and writing equations of parallel lines.

In this Khan Academy activity, students will complete the point-slope equation of a line given two points.

In this Khan Academy activity, students will complete the recursive formula for arithmetic sequences.

In this Khan Academy activity, students will complete the recursive formula for geometric sequences.

In this Khan Academy activity, students will determine which sequence, arithmetic or geometric, fits a word problem.

The purpose of this task is for students to explicitly consider when a discrete or continuous model
is appropriate for a given context. The situations in this task are designed to contrast discrete and
continuous models for both linear and exponential functions. The task also provides opportunity
for students to model with mathematics by connecting the type of change, either linear or
exponential with the nature of that change, either discrete or continuous.