Solving Equations
(View Complete Item Description)This task requires students to think about equations and solve them using pictures.
Material Type: Activity/Lab
All resources in Wisconsin Digital Learning Collaborative CCSS Math Resources
Who Has the Best Job?
(View Complete Item Description)In this real world word problem students must graph linear equations.
Material Type: Activity/Lab
Ant and Elephant
(View Complete Item Description)In this problem students are comparing a very small quantity with a very large quantity using the metric system. The metric system is especially convenient when comparing measurements using scientific notations since different units within the system are related by powers of ten.
Material Type: Activity/Lab
Ants versus humans
(View Complete Item Description)This task requires students to work with very large and small values expressed both in scientific notation and in decimal notation (standard form). In addition, students need to convert units of mass.
Material Type: Activity/Lab
Coupon versus discount
(View Complete Item Description)This task involves solving equations with rational coefficients, and requires students to use the distributive law ("combine like terms"). The equation also provides opportunities for students to observe structure in the equation to find a quicker solution, as in the second solution presented.
Material Type: Activity/Lab
Find the Change
(View Complete Item Description)This task helps students solidify their understanding of linear functions and push them to be more fluent in their reasoning about slope and y-intercepts. This task has also produced a reasonable starting place for discussing point-slope form of a linear equation.
Material Type: Activity/Lab
Fixing the Furnace
(View Complete Item Description)This task can be used to both assess student understanding of systems of linear equations or to promote discussion and student thinking that would allow for a stronger solidification of these concepts.
Material Type: Activity/Lab
Quinoa Pasta 1
(View Complete Item Description)This task asks students to find the amount of two ingredients in a pasta blend. The task provides all the information necessary to solve the problem by setting up two linear equations in two unknowns.
Material Type: Activity/Lab
Sore Throats, Variation 2
(View Complete Item Description)The purpose of this task is to show how the ideas in the RP and EE domains in 6th and 7th grade mature in 8th grade.
Material Type: Activity/Lab
Cell Phone Plans
(View Complete Item Description)This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations.
Material Type: Activity/Lab
Comparing Speeds in Graphs and Equations
(View Complete Item Description)This task provides the opportunity for students to reason about graphs, slopes, and rates without having a scale on the axes or an equation to represent the graphs. Students who prefer to work with specific numbers can write in scales on the axes to help them get started.
Material Type: Activity/Lab
Extending the Definitions of Exponents, Variation 1
(View Complete Item Description)This is an instructional task meant to generate a conversation around the meaning of negative integer exponents. While it may be unfamiliar to some students, it is good for them to learn the convention that negative time is simply any time before t=0.
Material Type: Activity/Lab
Peaches and Plums
(View Complete Item Description)This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.
Material Type: Activity/Lab
The Sign of Solutions
(View Complete Item Description)It is possible to say a lot about the solution to an equation without actually solving it, just by looking at the structure and operations that make up the equation. This exercise turns the focus away from the familiar Ňfinding the solutionÓ problem to thinking about what it really means for a number to be a solution of an equation.
Material Type: Activity/Lab
Two Lines
(View Complete Item Description)In this task, we are given the graph of two lines including the coordinates of the intersection point and the coordinates of the two vertical intercepts, and are asked for the corresponding equations of the lines. It is a very straightforward task that connects graphs and equations and solutions and intersection points.
Material Type: Activity/Lab
Equations of Lines
(View Complete Item Description)This task requires students to use the fact that on the graph of the linear equation y=ax+c, the y-coordinate increases by a when x increases by one. Specific values for c and d were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question.
Material Type: Activity/Lab
High School Graduation
(View Complete Item Description)While not a full-blown modeling problem, this task does address some aspects of modeling as described in Standard for Mathematical Practice 4. Also, students often think that time must always be the independent variable, and so may need some help understanding that one chooses the independent and dependent variable based on the way one wants to view a situation.
Material Type: Activity/Lab
Bike Race
(View Complete Item Description)The purpose of this task is for students to interpret two distance-time graphs in terms of the context of a bicycle race. There are two major mathematical aspects to this: interpreting what a particular point on the graph means in terms of the context, and understanding that the "steepness" of the graph tells us something about how fast the bicyclists are moving.
Material Type: Activity/Lab
Video Streaming
(View Complete Item Description)This real world word problem requires students to use equations and functions.
Material Type: Activity/Lab
Chicken and Steak, Variation 1
(View Complete Item Description)This task presents a real world situation that can be modeled with a linear function best suited for an instructional context.
Material Type: Activity/Lab