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Throwing Horseshoes
Collaborative learners interpret a quadratic expression written in different forms in this task centered on throwing horseshoes.
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Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
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Profit of a Company
Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.
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Fishing Adventures 3
Your young boaters will enjoy writing and solving inequalities, and representing the solution graphically in this task set in the context of renting a boat.
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Seeing Dots
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
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Quadrupling Leads of Halving
Your statisticians will see that an expression is made up of one or more parts that can be seen as a single entity. Learners give an explanation, in terms of the structure. of the expression and, why it halves in value when n is quadrupled.
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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...
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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.
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Triangle Series
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation.
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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...
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Summer Intern
Your young apprentices build a function describing the percent concentration of salt in a brine. The rational function is then related to the parent function, y= 1/x, and graphed. Finally, the apprentices predict the amount of fresh...
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The Canoe Trip, Variation 1
Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...
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Spinners and Fractions
Your learners create their own spinner using different colors and analyze the likelihood of landing on certain colors. The solutions are presented as fractions.
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Model Air Plane Acrobatics
Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...
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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.
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Cell Phones
Your texters will enjoy assessing their knowledge of function notation in this simple set of exercises. They will also interpret function notation in terms of the given context.
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Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
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US Households
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
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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...
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Find Parabolas through Two Points
Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.
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A Valuable Quarter
Your young bankers model an account balance with an exponential function and solve the equation by extracting a root or taking a logarithm. The task involves the context of annual and compounding interest as well as some interesting...
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Algae Blooms
Your microbiologists explore a changing algae population and build an exponential function modeling algae concentration from the description given of the relationship between concentrations in cells/ml and days of rapid growth.
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Yam in the Oven
Your vegetable eaters will practice function notation statement interpretation in this short task. These few exercises will bring out misconceptions high schoolers may have about function notation as well.
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Bacteria Populations
Your young microbiologists will interpret and solve exponential equations in this real-world context task set in a hospital research scenario. Learners think in terms of the functions as well as their rates of change.
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