Young scholars use problem-solving approaches to investigate mathematical content. They formulate problems from situations within and outside mathematics content. They warm up with a survey done by the teacher. Everyone uses practice...

Students find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...

How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...

Manipulatives and visual models really help youngsters understand mathematical concepts. One activity provided here gives every learner their own white board and accompanying number. Then learners have to put themselves in order, holding...

If you can find the book Caps for Sale in the target foreign language, this is a great activity to accompany it! After reading and modeling the story, the teacher models a dialogue that would take place between a salesman and a...

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...

If you have or can create a set of tiles, numbered one through eight, then you can implement this hands-on lesson about probability models. Individuals draw a tile from a bag, record its number, and then return it to the bag. They...

Students work in small groups to explore spatial relationships while building with color cubes. Students must identify positions of blocks to partner, recreate a model, and color a sketch of their structure appropriately.

In this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises.  The concepts covers include: composite functions, inverse functions, graphs of...

Learning how numbers are put together as parts and wholes is a big step in building the foundational number sense of young mathematicians. Here, children are given a number less than 10 and are asked to find as many pairs of numbers as...

Fifth graders explore mathematics functions. In this functions lesson, 5th graders explore 1 and 2-step functions involving addition, subtraction, multiplication, and division. Students also practice solving problems that their...

Students layout and frame-up a scaled-down model of a wall with one door and one window.

Help the class determine missing factors in equations by creating arrays. Through modeling and practice, they come to see the inverse relationship between multiplication and division. As an assessment, individuals build their own array...

Young scholars explore the math concept of percents. In this percents lesson plan, students examine visual examples of the relationships among fractions, decimals, and percents. Young scholars also practice solving problems that their...

A short activity that focuses on the normal distribution as a model for data distribution. Using given means and standard deviations, your budding statisticians can use statistical tables, calculators, or other statistical software to...

What are constraints and how can they be represented mathematically? This instructional slideshow provides an explanation and an example of how to translate constraints into algebraic inequalities.

Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.

Here is a math lab that helps young mathematicians understand the real-life meaning for vector addition. By building a model using spring scales and washers as weight, and then calculating the vector addition using two different methods,...

Middle schoolers investigate the mathematical concept of absolute value by counting the number of steps taken in two directions. Using the number line the teacher can note how they can forward and backward without changing the absolute...

Students use different food items in order to practice the mathematical concept of shape recognition. At the same time the teacher explains how crops are a source of physical health. They use all five senses to describe each food item...

In this complementary/supplementary angle activity, students explore the definition of complementary and supplementary angles. They demonstrate models of a complementary and a supplementary angle. This is a one-page activity.

Sixth graders explore rates as a specific type of ratio, using visual examples of unit rates and unit prices to increase comprehension. They also practice solving problems that are modeled by the instructor. The well-scripted lesson is...

Using a real-world example, this problem illustrates the thought process that learners need to engage in to understand adding mixed numbers with common denominators. First by looking at estimation, and then by drawing models that...

Students investigate the accumulation of drugs in the body. In this algebra lesson, students collect data on drug retention and assimilation. They use their data to predict the behavior and effects of drugs.