Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson on relationships between two numerical...

In this geometric probability worksheet, students solve and complete 12 different problems that include determining the outcomes of various types of probability. First, they use a tree diagram or an area model to compute the desired...

Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...

In this real-world problem about the rapid growth of rabbit populations, students must analyze two different scenarios and create mathematical models to represent them. They use their exponential models to answer questions about the...

Math is fun with algebra tiles! Young mathematicians explore eight expressions involving the distributive property and use algebra tiles to expand simple expressions. The resource is perfect for both guided and independent practice.

So many different ways to solve equations, so little time! Scholars learn how to solve equations with variables on both sides by using several different methods. They apply bar models, decomposition, and traditional algebraic methods to...

Learn about patterns in residual plots with an informative math instructional activity. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set...

In this statistics and probability worksheet, young statisticians solve and complete 13 different problems related to probability, percentages, and normal distributions. They consider data models, assumptions about the models, and find...

Use realistic data to find trigonometric models that best fit the populations of foxes and rabbits in a national park. Included are detailed explanations of the answers and process. This is a follow-up exercise to the lesson listed in...

Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...

We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...

Learn about butterflies and place value in a series of interdisciplinary lessons! With several worksheets that reference butterfly facts in word problems, kids can practice science and math in one activity. Additional worksheets are...

Use these number story cards to give scholars practice with arrays and number models. There are 12 cards here, each with a simple object scenario for learners to apply mathematically. Mathematicians are given the number of rows and how...

Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each...

Reinforce the concept of fractions and decimals as part of a whole with a activity that begins with a mixed review, then goes into a three problem guided practice, and ends with a collaborative activity. The guided practice and activity...

Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...

How do you build a polygon from an inequality? An engaging instructional activity challenges pupils to do just that. Building from the previous instructional activity in this series, learners write systems of inequalities to model...

It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.

Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...

How many cars would be involved in a traffic jam 12 miles long? A slightly ambiguous writing prompt gives learners the opportunity to practice making reasonable assumptions to tackle a real-life problem. Few details are given, so they...

What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....

Now that geometers know how to solve for square units, can they solve for cubed units? Explore this concept as scholars examine four cubes to solve for volume in each. A detailed example explains this process, but you may consider asking...

Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...

Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...