Complete problems using base ten blocks to see the difference in the place value of a decimal and how it affects a number's value. Learners compare decimal values as well. Ample time for discussion and modeling are allowed in the...

Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...

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 learning exercise, 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,...

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

Learners 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...

Students explore the math concept of percents. For this percents lesson, students examine visual examples of the relationships among fractions, decimals, and percents. Students also practice solving problems that their instructors model.

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...

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.

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.

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 learning exercise, students explore the definition of complementary and supplementary angles. They demonstrate models of a complementary and a supplementary angle. This is a one-page learning...

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...