Curated OER
Carbon 14 Dating
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
Curated OER
Skeleton Tower
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...
Curated OER
Exponential Growth Versus Linear Growth I
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Curated OER
Two Points Determine an Exponential Function II
Your algebra learners will build an exponential equation given a graph with two specific points labeled.
Curated OER
Exponential Functions
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Curated OER
Compounding with a 5% Interest Rate
The balance in an account continuously compounding interest is the context of this engaging task. Your young accountants will investigate the ending balance in an account as they compound the interest more and more. Learners write the...
Illustrative Mathematics
Kimi and Jordan
Kimi and Jordan have taken summer jobs to supplement their weekly allowances. Kimi earns more per hour than Jordan, but Jordan's weekly allowance is greater. This activity asks students to determine how the incomes of the two workers...
Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Curated OER
Sum of Even and Odd
Your algebra learners will make use of structure and manipulate expressions involving function notation using the definition of odd and even functions. They then advance even further to analyze the structure in a system of two equations.
Curated OER
Susita's Account
Your algebra high schoolers double their money monthly in this task based on a checking account balance. Learners write an equation to model the situation and then use their model to answer contextual questions.
Curated OER
Exponential Growth versus Polynomial Growth
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), learners generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. The...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing.
Curated OER
Parabolas and Inverse Functions
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Illustrative Mathematics
Bike Race
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
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