Classroom Resources

The Northern Frontier ducks are starting their migration to their winter home, Restoria, and the CyberSquad is going along for the ride! Just like real ducks, cyberducks migrate from one region to another to find a warm place to live with plenty of good food and water. The flock needs to avoid obstacles and manage their energy while migrating to Restoria. The player’s mission is to work with the ducks to help them get to Restoria safely and find the best ponds to stop at along the way.

Duck Dash is a “born-accessible” interactive game designed for kids ages 6-8, featuring beloved characters from the PBS KIDS math and environmental adventure series, Cyberchase. Players explore the math concepts of how to manage, organize, display, and evaluate data using graphs, and the science concepts of migration and ecology. 

Students learn to figure out elapsed time by counting, subtracting, and regrouping in base 60. This activity is motivated by a Cyberchase episode in which Digit and Hacker compete in a cooking contest.

When the rate of change of the amount of a substance, or a population, is proportional to the amount present at any time, we say that this substance or population is going through either a decay or a growth, depending on the sign of the constant of proportionality. Do you know how to write a differential equation that expresses this condition? This kind of growth or decay, common in nature and in the business world, is called exponential growth or exponential decay and is characterized by rapid change.

This informational material will explain how to find solutions to differential equations that represent rapid change. It will explain real-life applications of these equations, such as radioactive decay and compound interest. There are corresponding videos available. Practice questions with a PDF answer key are provided.   

In a previous read, students have learned what a limit is and how it is used to describe certain properties about functions. This interactive will challenge students to evaluate the limits of the function f(x) graphically.

In this interactive, the function f(x) will be represented by the green function.

Students will: 

• move the red dot in order to simulate x-values getting closer to the value under the blue dot.
• move the blue dot in order to change the x-value that they are approaching.

Students will analyze the painting, Cakes, by Wayne Theibaud.  They will practice fractions and paint a decorated cake.  

In this video lesson, students begin to rewrite quadratic expressions from standard to factored form.

Students relate the numbers in the factored form to the coefficients of the terms in standard form, looking for a structure that can be used to go in reverse—from standard form to factored form (MP7).

(This lesson only looks at expressions of the form (x + m)(x + n) and (x – m)(x – n) where m and n are positive.)

In this interactive activity, students will be led through steps to convert units of time. There are teaching activities as well as practice activities available. A handout that reviews the steps taught during the interactive is available to be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

In this interactive activity, students will be led through steps to identify arithmetic patterns in a set of numbers. There are teaching activities as well as practice activities available. A handout that reviews the steps taught during the activity can be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

In this interactive activity, students will be led through steps to subtract multi-digit numbers using the strategy of regrouping. There are teaching activities as well as practice activities available. A handout that describes strategies taught during the interactive is available to be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

In this activity from Khan Academy, students will review factoring simple quadratics. The students will factor as the product of two binomials. This activity has embedded videos, practice problems with immediate checks for the correctness of answers, an explanation option, and more practice choice at the end of the lesson. This review can be assigned to Google Classroom.

Khan Academy is a free resource for teachers. Teachers can sign up for a free account to access additional resources.

Students will use a Desmos activity to find solutions to systems of linear equations. This activity will help students understand what it means for a point to be a solution to a system of equations–both graphically and algebraically. This Desmo activity offers sample student responses and a teacher guide.

Ten is a very important number. Finding the number partners that add to make 10 is a very important skill. In kindergarten, students will find the hidden number that makes ten. Students will be asked to do this for any number from 1 to 9.

This learning activity can support the development of fluently adding and subtracting within 100 to solve a problem using drawings or equations. This task introduces students to a problem utilizing a short video clip of a man stacking Pringle chips. Students are then tasked with analyzing the video and utilizing the information gained to make estimates and determine how many Pringles were needed to make the Pringle Ringle. This resource supports the development of fluency to 100 through authentic context and purposeful practice. This resource could be used as a formative assessment task for assessing fluency to 100 or as a whole-group engagement activity at the start of a math lesson.

In this video lesson, students work with graphs and tables that represent functions. They learn the conventions of graphing the independent variable (input) on the horizontal axis and the dependent variable (output) on the vertical axis and that each coordinate point represents an input-output pair of the function. By matching contexts and graphs and reading information about functions from graphs and tables, students become familiar with the different representations and draw connections between them.

Grade 8, Episode 8: Unit 5, Lesson 4 | Illustrative Math

This video lesson serves two main purposes: to reiterate that some solutions to quadratic equations are irrational, and to give students the tools to express those solutions exactly and succinctly. Students recall that the radical symbol (√) can be used to denote the positive square root of a number. Many quadratic equations have a positive and a negative solution, and up until this point, students have been writing them separately. Here, students are introduced to the plus-minus symbol (±) as a way to express both solutions. Students also briefly recall the meanings of rational and irrational numbers. They see that sometimes the solutions are expressions that involve a rational number and an irrational number—for example, x = ±√8 + 3. Students make sense of these solutions by finding their decimal approximations and by solving the equations by graphing. The work here gives students opportunities to reason quantitatively and abstractly (MP2).

In this video lesson, students see that angles do not need to be adjacent to be complementary or supplementary. Students are also introduced to and begin to use the term vertical angles for describing the opposite angles formed when two lines cross. They examine multiple examples and see that the vertical angles have equal measures. Students can relate this understanding to the fact that both angles in a pair of vertical angles are supplementary to the same angle in between. By the end of the lesson, students will be able to see the different ways of making pairs of supplementary angles in two crossing lines.

In this video lesson, students learn the term function for a rule that produces a single output for a given input. This lesson introduces and connects the different ways in which we represent functions in mathematics: verbal descriptions, equations, tables, and graphs. Students transition from input-output diagrams and descriptions of rules to equations. The lesson also introduces the use of independent and dependent variables in the context of functions.

Grade 8, Episode 7: Unit 5, Lessons 2 & 3 | Illustrative Math

In this activity The Electric Company, students will review counting by fives, tens, and hundreds and discuss how 100 is a bundle of ten tens. Included are simple teacher-led activities and hands-on exercises for students.

In this activity from The Electric Company, students will review standard units of measurement, investigate standard measurement tools, and be introduced to the use of nonstandard measurement tools. Included are simple teacher-led activities and hands-on exercises for students.

This game from Odd Squad will help children with early geometry skills such as identifying 2D shapes, composition and decomposition, and spatial visualizations and transformations. A massive pienado has hit the city, throwing pies everywhere! Combine shapes such as rectangles, squares, and triangles to create a larger pattern and stop these flying pies.

Let’s get ready to limbo! How low can you go? In order to be good at limbo, it’s important to be flexible. 2020 Arkansas Teacher of the Year, Joel Lookadoo, shows students that just as it is important to be flexible when playing limbo, it is important to be flexible when solving math problems. The worksheet that accompanies this video provides students the opportunity to practice using computational strategies to solve addition and subtraction problems within 20 with unknowns in all places.

This video focuses on modeling division of a whole number by fractions using fraction strips.

Comparing fractions is easy when the numerators or denominators are the same, but what about when they’re different? Use this lesson from Classroom Connection to master comparing fractions, no matter what numbers they have.

In this lesson, students observe symmetry, geometric shapes, and angles in two Early American dances, and then choreograph their own dance with symmetrical figures. Three options are provided in this lesson depending on the time in class.  In all three options, students will observe symmetry in dance. 

This informational material will explain how to find all zeroes of a polynomial equation, including complex solutions. It will also introduce the concept of imaginary solutions. There is a corresponding video available. Practice questions with a PDF answer key are provided.  

This informational material will introduce truth tables and give several examples. It will explain statements and logical connectives and give examples of true and false statements. Truth tables of negation, conjunction, and disjunction will be explained.

Students analyze economic data to better understand America’s middle class, its role in the economy, and its impact on economic growth. In this interactive lesson, students use media produced for How the Deck Is Stacked, and tables and graphs created from Pew Research Center and government data to examine household income and spending trends and the widening wealth gap between the upper and lower-income tiers. Interim assessments evaluate students’ ability to interpret data, make inferences, and justify conclusions. At the end of the lesson, students write an evidence-based essay on why a shrinking middle-class matters to the U.S. economy.

This classroom resource provides a video that introduces bar graphs and how they can be used to analyze data. The vocabulary words vertical and horizontal will be introduced. After utilizing this resource, the students can complete the short quiz to assess their understanding.

In this interactive activity, students will be led through steps to plot points on a coordinate plane using ordered pairs. There are teaching activities as well as practice activities available. A handout that reviews the steps taught during the activity can be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

In this interactive activity, students will be led through steps to discover how learning multiples can help solve multiplication problems. There are teaching activities as well as practice activities available. A handout that describes strategies taught during the interactive is available to be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

Learn about identifying patterns with the Odd Squad. Olive's favorite basketball team is having trouble with the number 13 on the court.

It's Picture Day at Odd Squad, and Otto needs to use an equation to calculate how long he needs to wait in line. Otto will learn to solve subttaction problems by finding the missing addend.

Learn about counting in bundles of fives and tens with the Odd Squad. Miss O and O'Donahue investigate some pies missing from the bakery.

Students will use the Quizizz response system to complete a Pythagorean Theorem and Its Converse assessment. Quizizz allows the teacher to conduct student-paced formative assessments through quizzing, collaboration, peer-led discussions, and presentation of content in a fun and engaging way for students of all ages.

In this short practice, students review the steps for converting various English measurements and practice with examples and activities. In a video, a chef explains how he converts measurements to scale a chocolate cake recipe for a big party.