This is one page document to help clarify the practice/action of math modeling in school for administrators, as a way to show the importance of math modeling. Wisconsin resource inspired by math modeling information and resources at www.eqstemm.org.
This is one page document to help clarify the practice/action of math modeling in school for administrators, as a way to show the importance of math modeling. Wisconsin resource inspired by math modeling information and resources at www.eqstemm.org.
Students will exploring how chaning the equation of a parabola on Desmos.com will give you similar graphs. These equations are all in vertex form and will ask students to determine the vertex of each equation. Students will all be asked to graph each of the equations in the families as well. Original worksheet created by Curt Sauer.
In this math lesson, learners examine pennies and dimes and model subtraction as they listen to a childrenäóťs book ("Alexander Who Used to Be Rich Last Sunday" by Judith Viorst). Learners model amounts to 60 cents with coins, use coin rubbings of pennies and dimes, and make a chart comparing the two coins.
This interactive mathematics resource allows the user to explore the outcomes resulting from tossing a coin, rolling a die, and using a spinner to perform single and double event probabilities. The resource includes print activities, solutions, learning strategies, and a board game.
In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations, in which learners make tessellations by translating, rotating, and reflecting the patterns.
In this activity, learners repeat patterns in two and three dimensions to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations that are appropriate for varying grades and levels.
Practice simplifying exponential expressions.
In this activity students learn to use two different equations for modeling real-life situations that involve exponential decay. This is the third of three activities about Exponential Functions. The associated lesson plan and student assessment questions can be found at: https://concord.org/projects/smartgraphs#curriculum and clicking on “Algebra†and then “Exponential Functions.â€Â
In this task students prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Learn how equations for several exponential functions are used to model population growth and compound interest. This is the second of three activities about exponential functions. The associated lesson plan and student assessment questions can be found at: https://concord.org/projects/smartgraphs#curriculum and clicking on “Algebra†and then “Exponential Functions.â€Â
This problem illustrates how an exponentially increasing quantity eventually surpasses a linearly increasing quantity.
In this task students observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
This problem shows that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large.
Included in this site is a complete lesson on writing with exponential notation. The lesson includes an introduction activity and discovery, practice, and an exit ticket along with suggestions for the teacher to use throughout the lesson. Students will use integer exponents and discover when to use parentheses for their bases. You will need to insert parentheses where necessary before delivering the lesson or using the worksheet since they are missing around fractions and negative bases if they haven't been fixed by the time you visit their lesson site.
The purpose of this task is to help students see the "why" behind properties of logs that are familiar but often just memorized (and quickly forgotten or misremembered). The task focuses on the verbal definition of the log, helping students to concentrate on understanding that a logarithm is an exponent, as opposed to completing a more computational approach.
This task and its companion, F-BF Exponentials and Logarithms I, is designed to help students gain facility with properties of exponential and logarithm functions resulting from the fact that they are inverses.
This is an instructional task meant to generate a conversation around the meaning of negative integer exponents. While it may be unfamiliar to some students, it is good for them to learn the convention that negative time is simply any time before t=0.
The goal of this task is to develop an understanding of why rational exponents are defined as they are (N-RN.1), however it also raises important issues about distinguishing between linear and exponential behavior (F-LE.1c) and it requires students to create an equation to model a context (A-CED.2
In this two-day lesson plan students collect, display, and analyze data about the eye color of their classmates. On day one, students display the eye color data in a pictograph and discuss what questions can and cannot be answered using this graph. On the second day of the lesson, data from a partner class is used to create a second pictograph. Students then compare these graphs and determine what questions can and cannot be answered using these two graphs. Questions and extension suggestions (including making a circle graph to represent data) are also included in the lesson plan.