The Bank Account
(View Complete Item Description)This real world task requires students to answer questions about equations for calculating compound interest.
Material Type: Activity/Lab
All resources in Oregon Mathematics
The Physics Professor
(View Complete Item Description)This task requires students to answer questions about the structure of an expression.
Material Type: Activity/Lab
Throwing Horseshoes
(View Complete Item Description)This task illustrates A-SSE.1a because it requires students to identify expressions as sums or products and interpret each summand or factor.
Material Type: Activity/Lab
Taxes and Sales
(View Complete Item Description)This task is not about computing the final price of the shirt but about using the structure in the computation to make a general argument.
Material Type: Activity/Lab
Ice Cream
(View Complete Item Description)This task illustrates the process of rearranging the terms of an expression to reveal different aspects about the quantity it represents, precisely the language being used in standard A-SSE.B.3.
Material Type: Activity/Lab
Increasing or Decreasing? Variation 2
(View Complete Item Description)The purpose of this task is to help students see manipulation of expressions as an activity undertaken for a purpose.
Material Type: Activity/Lab
Profit of a company
(View Complete Item Description)This task compares the usefulness of different forms of a quadratic expression. Students have to choose which form most easily provides information about the maximum value, the zeros and the vertical intercept of a quadratic expression in the context of a real world situation. Rather than just manipulating one form into the other, students can make sense out of the structure of the expressions.
Material Type: Activity/Lab
Forms of exponential expressions
(View Complete Item Description)This task contrasts the usefulness of four equivalent expressions. Students first have to confirm that the given expressions for the radioactive substance are equivalent. Then they have to explain the significance of each expression in the context of the situation.
Material Type: Activity/Lab
Equations and Formulas
(View Complete Item Description)This task asks students to use inverse operations to solve the equations for the unknown variable, or for the designated variable if there is more than one. Two of the equations are of physical significance and are examples of Ohm's Law and Newton's Law of Universal Gravitation.
Material Type: Activity/Lab
A-CED Rewriting equations
(View Complete Item Description)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: In each of the equations below, rewrite the equation, solving for the indicated variable If $F$ denotes a temperature in degrees Fahrenheit and $C$ is ...
Material Type: Activity/Lab
A-Rei Springboard Dive
(View Complete Item Description)The problem presents a context where a quadratic function arises. Careful analysis, including graphing, of the function is closely related to the context. The student will gain valuable experience applying the quadratic formula and the exercise also gives a possible implementation of completing the square.
Material Type: Activity/Lab
Which Function?
(View Complete Item Description)This task addresses knowledge related to interpreting forms of functions derived by factoring or completing the square. It requires students to pay special attention to the information provided by the way the equation is represented as well as the sign of the leading coefficient, which is not written out explicitly, and then to connect this information to the important features of the graph.
Material Type: Activity/Lab
Carbon 14 Dating In Practice I
(View Complete Item Description)In the task "Carbon 14 Dating'' the amount of Carbon 14 in a preserved plant is studied as time passes after the plant has died. In practice, however, scientists wish to determine when the plant died and, as this task shows, this is not possible with a simple measurement of the amount of Carbon 14 remaining in the preserved plant. The equation for the amount of Carbon 14 remaining in the preserved plant is in many ways simpler here, using 12 as a base.
Material Type: Activity/Lab
A-CED Clea on an Escalator
(View Complete Item Description)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: It takes Clea 60 seconds to walk down an escalator when it is not operating, and only 24 seconds to walk down the escalator when it is operating. How m...
Material Type: Activity/Lab
G-GMD.4 Global Positioning System I
(View Complete Item Description)This question examines the algebraic equations for three different spheres. The intersections of each pair of spheres are then studied, both using the equations and thinking about the geometry of the spheres. For two spheres where one is not contained inside of the other there are three possibilities for how they intersect.
Material Type: Activity/Lab
A-CED Silver Rectangle
(View Complete Item Description)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 is a picture of a rectangle $ABCD$ with segment $\overline{MN}$ drawn where $M$ is the midpoint of $\overline{BC}$ and $N$ is the midpoint of $\o...
Material Type: Activity/Lab
Throwing a Ball
(View Complete Item Description)Although this task is quite straightforward, it has a couple of aspects designed to encourage students to attend to the structure of the equation and the meaning of the variables in it. It fosters flexibility in seeing the same equation in two different ways, and it requires students to attend to the meaning of the variables in the preamble and extract the values from the descriptions.
Material Type: Activity/Lab
A-CED Uranium 238
(View Complete Item Description)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 aspects of the task and its potential use.
Material Type: Activity/Lab
A-REI Basketball
(View Complete Item Description)This task provides a simple but interesting and realistic context in which students are led to set up a rational equation (and a rational inequality) in one variable, and then solve that equation/inequality for an unknown variable.
Material Type: Activity/Lab
Buying a Car
(View Complete Item Description)The emphasis in this task is on the progression of equations, from two that involve different values of the sales tax, to one that involves the sales tax as a parameter. It is designed to foster the habit of looking for regularity in solution procedures, so that students don't approach every equation as a new problem but learn to notice familiar types.
Material Type: Activity/Lab