Floating Down the River
Key Words:
Graphing Stories, Functions, Rates, Relationships
Brief Description:
Three people are floating in tubes down a river. They hypothesize that the speed is faster when the water is shallow and slower when the water is deeper. They measure the depth, speed and distance every 10 mins. Students are asked if they agree or disagree with the hypothesis.  Task Handout
Student Work Sample
Teachers discussing learning goals for the Floating Down the River task
Teachers discussing where they might use the Floating Down the River task
Teachers discussing their anticipation of student thinking on the Floating Down the River task
Teachers discussing Student 1 & 2
Teachers discussing Student 3
Teachers discussing Student 4
Teachers discussing Student 5

Regina’s Logo
Key Words:
Patterns, Recursive Formula, Linear Functions, Equivalent Expressions
Brief Description:
Students will analyze a pattern and write a recursive formula and a function to describe the pattern.  Task Handout
Student Work Sample
Teachers discussing learning goals associate with Regina's Logo
Teachers discussing challenges they anticipate with Regina's Logo
Teachers discussing Student A
Teachers discussing Student B
Teachers discussing Student C
Teachers discussing Student D

Pay It Forward
Key Words:
Patterns, Exponential Function
Brief Description:
Students will analyze a pattern in which each person pays it forward to three people. They will write a function to describe the pattern.  Task Handout
Student Work Sample
Teachings discussing anticipation of student thinking for the Pay it Forward task
Teachers discussing Student 1
Teachers discussing Student 2
Teachers discussing Student 3
Teachers discussing Student 4
Teachers discussing Student 5
Teachers discussing Student 6

Squares Upon Squares
Key Words:
Patterns, Recursive Formula, Functions, Equivalent Expressions
Brief Description:
Students will analyze a pattern and write a recursive formula and a function to describe the pattern.
 Task Handout
Student Work Samples

Lots of Linear Options
Key Words:
Systems of Linear Equations
Brief Description:
Students are to create linear systems without graphing given certain parameters (i.e. just the point of intersection).  Task Handout
Student Work Samples
Teachers discussing using Lots of Linear Options in their classes
Teachers discussing launching Lots of Linear Options
Teachers discussing student accessibility of Lots of Linear Options
Teachers discussing Students 1 & 2
Teachers discussing Student 3

Test Data Dilemma
Key Words:
Comparing Datasets, Graphs, Mean, Median, Mode, Variance, Argumentation
Brief Description:
Students are asked to compare graphs of class grades to determine which teacher should receive an award. There are multiple types of graphs (i.e. histogram, boxplot etc.)  Task Handout
Student Work Samples
Teachers discussing the use of the Test Data Dilemma in their classroom
Teachers discussing anticipating student work on the Test Data Dilemma Task
Teachers discussing pressing and probing questions they might use with the Test Data Dilemma Task
Teachers discussing how they might connect students' thinking when using the Test Data Dilemma Task
Teachers discussing Student A
Teachers discussing Student B
Teachers discussing Students C & D

Creating Images
Key Words:
Transformation, Reflection, Rotation, Translation, Inverse, Composition
Brief Description:
Students are introduced to 4 transformations and asked a series of questions that delve into composition of transformations.
 Task Handout
Warm Up Task
Student Work Samples
Teachers discussing how to set up the task
Teachers discussing challenges implementing the task
Teachers discussing the sample student work

Rigid Transformations
Key Words:
Transformation, Reflection, Rotation, Translation, Rigid Motion
Brief Description:
Students will show that two triangles are congruent by using transformations.  Task Handout
Student Work Samples
Teachers discussing the rigid transformations task
Teachers discussing questions they might pose with the rigid transformations task
Teachers discussing Student 1
Teachers discussing Student 2
Teachers discussing Student 3
Teachers discussing Student 4

Perfecting My Quads
Key Words:
Solving Quadratic Functions, Factoring, Quadratic Formula, Completing the Square, Vertex Form, Graphing
Brief Description: Students are asked to solve a quadratic by using different methods.  Task Handout
Student Work Samples
Teachers discussing the goals of this task
Teachers discussing questions that can support connections across strategies
Teachers discussing Student Work video 1
Teachers discussing Student Work video 2

Water Tower Task
Key Words:
Linear Regression, Rate of Change, Constant Rate of Change
Brief Description:
Students have data on the flow rate of a water tower leak. They are asked questions about when the leak can be fixed and how long the tower has been leaking.
 Task Handout
Student Work Samples
Teachers discussing the use of the water tower task in their classroom
Teachers discussing implementation of the water tower task (note: slide shown does not match their discussion)
Teachers discussing Student 1
Teachers discussing Student 2
Teachers discussing Student 3
Teachers discussing Student 4
Teachers discussing Student 5
Teachers discussing Student 6

Triangle Relationships Task
Key Words:
Right Triangle, Altitude, Distance Formula
Brief Description:
Students are asked to find the length of the altitude of a right triangle situated in the coordinate plane.  Task Handout
Student Work Samples
Teachers discussing implementation of the task
Teachers discussing their anticipation of student thinking on the triangle relationships task
Teachers discussing Students 1, 2 and 3
Teachers discussing Students 4, 5, and 6
Teachers discussing the connections among students' work

Lucky Dip Task
Key Words:
Conditional Probability, Independent Events, Dependent Events
Brief Description:
A bag contains 3 black and 3 white balls. Winning is defined as drawing two balls of the same color. Students are asked to determine if the game is fair.  Task Handout
Student Work Samples
Teachers discussing learning goals for this task
Teachers discussing their anticipation of student thinking
Teachers discussing students 1, 2 and 3
Teachers discussing student 4, 5, 6, and 7

Tracking the Tortoise Task
Key Words:
Inverse, Exponential Functions, Logarithmic Functions, Domain, Range
Brief Description:
Students explore an exponential function, its inverse, and the relationship between the two within the context of how far the tortoise is from the starting line of the race.
 Task Handout
Student Work Sample 1
Student Work Sample 2
Student Work Sample 3
Student Work Sample 4
Teachers discussing implementing this task in their classrooms
Teachers discussing student 1
Teachers discussing student 2
Teachers discussing student 3
Teachers discussing student 4

Cockroaches Task
Key Words:
Modeling Exponential Growth, Inverse, Exponential Functions, Logarithmic Functions
Brief Description:
Students will use exponential growth to model cockroach population growth. They will also need to then use that information to figure out how long it will take for the population to cover a specific area (i.e. North Carolina).  Task Handout
Student Work Samples
Teachers discussing implementation of the Cockroach task
Teachers discussing their anticipation of student thinking
Teachers discussing Student 1
Teachers discussing Student 2
Teachers discussing Student 3
Teachers discussing Student 4

Go the Distance Task
Key Words:
Pattern, Representation, Rules, Recursive Formula, Equivalent Expressions
Brief Description:
Students need to determine how many bricks a stonemason will require to build the steps to the Philadelphia Art Museum (Rocky Steps).
 Task Handout
Student Work Sample 1
Student Work Sample 2
Student Work Sample 3
Student Work Sample 4
Teachers discussing how to launch the Go the Distance Task
Teachers discussing how to maintain the cognitive demand of the Go the Distance Task
Teachers discussing how to adapt the task to make it accessible to all students
Teachers discussing Student 1
Teachers discussing Student 2
Teachers discussing Student 3
Teachers discussing Student 4

Zip Line Task
Key Words:
Geometric Formula, Optimization, Minimization, Pythagorean Theorem
Brief Description:
Students need to determine the minimum length of zip line wire required to satisfy the requirements for building the two zip lines from two towers to floating platform in a swamp.
 Task Handout
Student Work Samples
Teachers discussing implementation of the zip line task
Classroom video of the zip line task being implemented
Classroom video of the zip line task being implemented 2
Teachers discussing student work samples
Teachers discussing desmos student solutions
Teachers discussing student work sample connections and classroom video

Mutually Tangent Circles
Key Words:
Circles, Tangent, Sectors, Triangles
Brief Description:
Students are asked to find the area of three mutually tangent circles including the area between the three circles.
 Task Handout
Student Work Samples
Teachers discussing the use of Mutually Tangent Circles in their classrooms
Teachers discussing their anticipation of student work on the Mutually Tangent Circles task
Teachers discussing students 1 & 2
Teachers discussing student 3
Teachers discussing student 4 
The Gift Task
Key Words:
Rational Functions, Multiple Representations, Domain, Range, Graphing, Asymptotes
Brief Description:
A gift costs $360 and several people split the cost of the gift. Students are asked to create a function that models each person’s individual contribution. After which, students are asked to consider the end behavior of rational functions.
 Task Handout 1
Task Handout 2
Student Work Samples
Teachers discussing implementing the gift task
Teachers discussing their anticipation of student thinking on the gift task
Teachers discussing students 1 and 2
Teachers discussing students 1, 2, and 3 
Foxes and Rabbits Desmos Task
Key Words:
Sine, Cosine, Transformations, Periodic Functions, Multiple Representations
Brief Description:
Students are given data, asked how to model that data on a graph, and then asked to fit a function to the graphical representation of the data using sliders.
 Task Link
Teachers discussing how to launch the Foxes and Rabbits task
Teachers discussing student work from the Foxes and Rabbits task video 1
Teachers discussing student work from the Foxes and Rabbits task video 2
Teachers discussing student work from the Foxes and Rabbits task video 3
Teachers discussing their experiences using the Foxes and Rabbits task video 1
Teachers discussing their experiences using the Foxes and Rabbits task video 2
