Use an inverse linear function to interpolate a point. Presented with the number of households over a period of year, pupils find a linear function that will be a model. Class members determine the inverse of the linear function and use...

Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...

Writing and sketching functions—what more could you want to do? Learners write and sketch functions that meet certain conditions as they complete a short task. They find a parabola that encompasses three quadrants of the coordinate plane...

The road to a greater knowledge of functions lies in the informative resource. Young mathematicians first graph a square root function in a short performance task. They then use given descriptions of towns and the key features of the...

Take the road to a greater knowledge of functions. Young mathematicians graph an absolute value function representing a road connecting several towns. Given a description, they identify the locations of the towns on the graph.

Graph growth in the US. Given population and area data for the United States for a period of 200 years, class members create graphs to interpret the growth over time. Graphs include population, area, population density, and population...

In this limit worksheet, learners find the interval values of given functions. They identify constants, and plot graphs. This three-page worksheet contains approximately 20 problems.

Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...

Your archaeologists begin this task with a table of values to estimate the time passed based on the half-life of Carbon 14 remaining in a plant. They then move on to find when a specific amount of Carbon 14 is present in the same plant,...

Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.

Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...

A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...

How can you model exponential decay? Explore different situations involving exponential decay functions and decreasing linear functions by performing activities with MandM candy, popcorn kernels, and number cubes.

Root for young mathematicians learning about functions. A set of two problems assesses understanding of polynomial functions and their roots. Scholars select values for a, b, and c, and then create two functions that meet given...

Create polynomials with specific values. The task consists of writing three polynomial functions that evaluate to specific values for any given number. Scholars first find a polynomial that evaluates to one for a given value, then a...

Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.

Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...

Antarctica is a big place, large enough to provide ample opportunities to learn about math. A two-week unit teaches middle school mathematics concepts using project-based learning. The resource covers functions, geometry (area,...

Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function.  The lesson also contains an application of differentiation. 

Study various types of mathematical models in this math lesson. Learners calculate the slope to determine the risk in a situation described. They respond to a number of questions and analyze their statistical data. Then, they determine...

Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...

Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...

Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...

Fit functions to data by using an interactive app. Individuals plot a scatter plot and then fit lines of best fit and regression curves to the data. The use of an app gives learners the opportunity to try out different functions to see...