This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Below are population estimates for the larger metropolitan areas of Paris (France), Shenzhen (China), and Lagos (Nigeria) for each decade between 1950 ...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: How do the values of the three functions $f(x) = 2x$, $g(x) = x^2$ and $h(x) = 2^x$ compare for large positive and negative values of $x$? Explain your...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: According to ancient legend, Dido made a deal with a local ruler to obtain as much land as she could cover with an oxhide. Dido interpreted ''cover'' i...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Below are pictures of the first three triangular numbers: In general, the $n^{\text{th}}$ triangular number is the total number of dots in $n$ columns ...

This is a community contributed High School Equivalency Algebra textbook, focused on algebra material for the GED(R) math test. Use as is, or download and modify to your heart's content. Covers integers to functions.

This is course material published for a secondary Math 1 course. Authors of this work are: Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, Janet Sutorius and updated from the original work in 2013 in partnership with the Utah State Office of Education.

Students learn that it is incorrect to believe that heavier objects fall faster than lighter objects. By close observation of falling objects, they see that it is the amount of air resistance, not the weight of an object, which determines how quickly an object falls.

This lesson is an introduction to learning to graph linear equations written in Slope-Intercept Form. It was written for the Beginning Algebra 1 student.

This is an opportunity for pupils to set up their own models using a spreadsheet and investigate what happens when they change variables such as interest, inflation rates and how much is spent each year. Investigating how a small change in interest rates can affect the total income over different time periods can be enlightening. Investigating the impact of spending large amounts of money up-front can also provide valuable insights.

This task gives a variet of real-life contexts which could be modeled by a linear or exponential function. The key distinguishing feature between the two is whether the change by equal factors over equal intervals (exponential functions), or by a constant increase per unit interval (linear functions).

Students complete an exercise showing logarithmic relationships and examine how to find the linear regression of data that does not seem linear upon initial examination. They relate number of BMD scanners to time.

Isatou Ceesay observed a growing problem in her community where people increasingly disposed of unwanted plastic bags, which accumulated into ugly heaps of trash. She found a way to be the agent of change by recycling the bags and transforming her community. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenge: Use plastic bags to develop a new product (i.e. jump rope).

A document is included in the resources folder that lists the complete standards-alignment for this book activity.

In this video lesson, students will learn about linear programming (LP) and will solve an LP problem using the graphical method. Its focus is on the famous "Stigler's diet" problem posed by the 1982 Nobel Laureate in economics, George Stigler. Based on his problem, students will formulate their own diet problem and solve it using the graphical method. The prerequisites to this lesson are basic algebra and geometry. The materials needed for the in-class activities include graphing paper and pencil. This lesson can be completed in one class of approximately one hour. If the teacher would like to cover the simplex algorithm by George Dantzig as an alternative solution method, an additional whole class period is suggested.

Video lecture on quadratic equations and their graphs. The video connects the equation, the graph, the roots, and the minimum or maximum of the quadratic function.

The purpose of this task is to give students an opportunity to explore various aspects of exponential models (e.g., distinguishing between constant absolute growth and constant relative growth, solving equations using logarithms, applying compound interest formulas) in the context of a real world problem with ties to developing financial literacy skills.

Three Weeks in March is a data-driven approach to modeling the spread of coronavirus cases in the United States.In this activity, students will use a difference equation to model day-to-day changes in the known cases of coronavirus within U.S. borders, as reported by the Centers for Disease Control and Prevention, during the first three weeks of March, 2020. The solution to this difference equation is an exponential model. The activity can serve as an introduction to exponential models.The main goals of this activity are to:Learn the idea of difference equation;Model exponential growth using a difference equation;Simulate exponential growth and estimate a parameter value using software.These resources were created by Dr. Rob Kipka of Lake Superior State University.

These problems give students the opportunity to construct and compare linear, quadratic, and exponential models.