Using a concept attainment approach, learners identify surface area and volume by sorting examples (photos) that depict each concept (positive)  from those that don't (negative). Then as a class, they develop definitions of each...

Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.

Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...

Factor polynomial functions that have two and three terms. Using Algeblocks, your class will create models to show their understanding of these concepts.

Represent the relationship between independent and dependent variables through a modeling situation. The activity expects learners to graph the volume of water in a bathtub during a given scenario. The graph should result in two areas of...

Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...

Young engineers are instructed to design and build their own solar water heaters. Then, they calculate the efficiency and cost and compare them to commercially available models. This is a full unit for pupils to apply their knowledge.

Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...

Students solve the area of triangles. For this precalculus lesson, students are given two sides of a triangle and asked to calculate the area. They apply the law of sine and the side-angle-side area formula to solve.

Eighth graders compare the volume of three cylinders constructed from the same size sheet of paper. They use concrete and graphical models to derive formulas for finding perimeter, circumference, area, and volume of two and three...

Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...

You and your class will like this lesson on using visual models to relate the volume and surface area of solid shapes. Learners construct three-dimensional forms using nets. They calculate the surface area and volume for each and then...

Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...

Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a instructional activity that begins with a dropped object example and asks for a solution. This introduction...

In May of 1981, the Winter Park Sinkhole in Florida first appeared and is now referred to as Lake Rose. Scholars learn about the causes of sinkholes through an inquiry project. Then, they analyze recent data and draw conclusions to...

How much coffee can you actually drink? An intriguing lesson has learners consider an advertisement for a bottomless mug of coffee. While considering the price of the mug, they analyze different scenarios to determine the cost-saving...

Young scholars, in teams, design and construct models of two planets, one hot and the other cold, using a variety of materials. They attempt to create the models out of substances that will actually show the greatest temperature...

Open learners' eyes to the challenge of finding safe drinking water – something we often take for granted in our country. The PowerPoint presentation includes images, graphs, diagrams, and even a video to stimulate discussion on how we...

The dynamics of a city can have a drastic effect on the weather. A hands-on lesson asks learners to build a model to illustrate how city pollution provides a nucleus for condensation. The greater the pollution, the greater chance for...

Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...

How does the Earth continually repair itself? Explore the answer to this question, and others, with a unit on plate boundaries and interaction. Pupils classify the types of movement at plate boundaries and identify the...

Wearable devices have become more the norm than the exception. Learners analyze data from a sample device with a regression analysis in a helpful hands-on lesson. Their focus is to determine if there is a connection between temperature...

Students design STELLA model based upon scientific research done on monarch butterfly lifecycle; model allows students to predict how many larva will be produced during the winter and thus collect the correct amount of food to sustain...

Students create models to represent both linear and quadratic equations.  In this algebra lesson, students collect data from the real world and analyze it. They graph and differentiate between the two types.