Converting Square Units
(View Complete Item Description)This task provides an opportunity to work on the Standard for Mathematical Practice 3 Construct Viable Arguments and Critique the Reasoning of Others.
Material Type: Activity/Lab
All resources in Santa Rosa County District Schools
Track Practice
(View Complete Item Description)Parts (a) and (b) of the task ask students to find the unit rates that one can compute in this context. Part (b) does not specify whether the units should be laps or km, so answers can be expressed using either one.
Material Type: Activity/Lab
Identifying Rational Numbers
(View Complete Item Description)This task requires students to determine whether a number is rational or irrational. The task assumes that students are able to express a given repeating decimal as a fraction.
Material Type: Activity/Lab
Computing Volume Progression 3
(View Complete Item Description)The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. Here, we are given the volume and are asked to find the height.
Material Type: Activity/Lab
Fishing Adventures 1
(View Complete Item Description)This task is the first in a series of three tasks that use inequalities in the same context at increasing complexity in 6th grade, 7th grade and in HS algebra. Students write and solve inequalities, and represent the solutions graphically.
Material Type: Activity/Lab
Waiting Times
(View Complete Item Description)As the standards in statistics and probability unfold, students will not yet know the rules of probability for compound events. Thus, simulation is used to find an approximate answer to these questions. In fact, part b would be a challenge to students who do know the rules of probability, further illustrating the power of simulation to provide relatively easy approximate answers to wide-ranging problems.
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
Adding Multiples
(View Complete Item Description)This task asks students to explore multiples of 6.
Material Type: Activity/Lab
Computing Volume Progression 4
(View Complete Item Description)The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. This problem is based on ArchimedesŐ Principle that the volume of an immersed object is equivalent to the volume of the displaced water.
Material Type: Activity/Lab
Shirt Sale
(View Complete Item Description)In this task students use ratio and rate reasoning to solve a problem involving a sales item.
Material Type: Activity/Lab
Voting for Two, Variation 2
(View Complete Item Description)This is the second in a series of tasks that are set in the context of a classroom election. It requires students to understand what ratios are and apply them in a context. The simple version of this question just asked how many votes each gets. This has the extra step of asking for the difference between the votes.
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
Art Class, Variation 1
(View Complete Item Description)This this task about mixing paint requires students to graph ratios on a coordinate plane. It is a standard language in ratio problem.
Material Type: Activity/Lab
Finding a 10% Increase
(View Complete Item Description)This real world problem is appropriate for mental mathematics and students should be encouraged to think through the solution mentally.
Material Type: Activity/Lab
Modeling with a Linear Function
(View Complete Item Description)The primary purpose of this task is to elicit common misconceptions that arise when students try to model situations with linear functions. This task, being multiple choice, could also serve as a quick assessment to gauge a class' understanding of modeling with linear functions.
Material Type: Activity/Lab
Glasses
(View Complete Item Description)This task gives students an opportunity to work with volumes of cylinders, spheres and cones. Notice that the insight required increases as you move across the three glasses, from a simple application of the formula for the volume of a cylinder, to a situation requiring decomposition of the volume into two pieces, to one where a height must be calculated using the Pythagorean theorem.
Material Type: Activity/Lab
Comparing Freezing Points
(View Complete Item Description)This task is appropriate for assessing student's understanding of differences of signed numbers. Because the task asks how many degrees the temperature drops, it is correct to say that "the temperature drops 61.5 degrees." However, some might think that the answer should be that the temperature is "changing -61.5" degrees. Having students write the answer in sentence form will allow teachers to interpret their response in a way that a purely numerical response would not.
Material Type: Activity/Lab
Comparing Years
(View Complete Item Description)Many students will not know that when comparing two quantities, the percent decrease between the larger and smaller value is not equal to the percent increase between the smaller and larger value. Students would benefit from exploring this phenomenon with a problem that uses smaller values before working on this one.
Material Type: Activity/Lab
Reasoning about Multiplication and Division and Place Value, Part 2
(View Complete Item Description)The three tasks (including part 1 and part 3) in this set are not examples of tasks asking students to compute using the standard algorithms for multiplication and division because most people know what those kinds of problems look like. Instead, these tasks show what kinds of reasoning and estimation strategies students need to develop in order to support their algorithmic computations.
Material Type: Activity/Lab
Rectangle Perimeter 1
(View Complete Item Description)This tasks gives a verbal description for computing the perimeter of a rectangle and asks the students to find an expression for this perimeter. Students then have to use the expression to evaluate the perimeter for specific values of the two variables.
Material Type: Activity/Lab