Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...

Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...

This real-life model of braking distance motivates learners to approach quadratic equations algebraically, numerically, graphically, and descriptively.

Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.  

Your young population scientists analyze a table of values, write a model to represent the real life data, finish the table of data and predict future populations in a collaborative, real-life activity.

Huygens spacecraft landed on Saturn's moon Titan in 2005, making it the farthest landing from Earth ever made by a spacecraft. In this hands-on activity, the 12th installment of 22, groups explore how density affects speed. To do this,...

How long will it take to save up for a car? Classmates use linear and exponential models to see how money received during a Quinceanera will grow over time.

Understanding how to multiply a whole number by a fraction is the key concept. Young mathematicians create a visual model of this real-world example and find the solution. Extensions are possible for making this an even richer activity....

A real-world approach to common multiples asks learners to find different groups of flowers based on their multiples. Useable as a class activity or independent exercise, they will have to organize their thoughts to explain the totals of...

Have your class demonstrate their ability to compare fractions with this short multiple-choice assessment. Using the fractions 9/8 and 9/4, the students first make comparisons using both words and the greater than/less than signs. Next,...

Help Christina figure out how many chocolate and lemon candies she has with a lesson on decomposing numbers. When presenting this context to the class, the teacher chooses the total number of candies and the number that are chocolate,...

Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...

Your young financial geniuses explore the Rule of 70 as they analyze the exponential function that models the doubling time of investments.

Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...

Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...

Learners consider the rate of filling a cone in the 23rd installment of this lesson series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The lesson ends with a...

What middle schooler does not enjoy an occasional online game? In this lesson play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept of tree models,...

Students receive bloodstain pattern evidence from a crime scene. They answer a series of questions through inquiry, observation, measurement, and analysis. Pupils complete this challenge, by reconstructing the evidence through four...

Learners discuss Sol LeWitt and conceptual art, then analyze the differences in expressing a concept through model-based inquiry and aesthetic art criticism. They develop a geometric, scientific, or mathematical concept, then create an...

Here is a simple and clever activity which illustrates the concept of mathematical proportion and size quite effectively. In it, two pupils hold baseball bats: one is a regulation-size bat, the other is a miniature souvenir bat. The...

Learners practice multiplication concepts. In this multiplication instructional activity, pupils make arrays by using counters and solve various multiplication questions. They model arrays with counters for reinforcement.

Students investigate unit conversion.  In this unit conversion instructional activity, students will build models of square and cubic centimeters using grid paper and generate formula tables for converting units of area and...

Using Google SketchUp, learners draw a model of their bedroom. They begin by measuring the dimensions of their bedroom, inputting this information into the software program, and calculating perimeter and area. This is an interesting and...

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...