Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...

Explore two-digit multiplication with your class as they work in groups to build models of two-digit multiplication using base 10 manipulatives. They construct rectangles replacing standard numbers with equivalent place values using...

There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...

Teach the connection between area models and the distributive property through problem-solving. The 22nd activity in a series of 29 explains the distributive property graphically. Learners build area models from word problems and convert...

Fifth graders build area models to represent multi-digit multiplication. This lesson is not complete, but having pupils learn first through hands-on experiences builds a solid mathematical foundation.

Create models to demonstrate multiplication and division of fractions. Using fraction tiles to model fractions, pupils explore fractions on a ruler and use pattern blocks to multiply and divide. They also create number lines with fractions.

Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...

Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...

If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 

Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.

Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...

Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

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...

Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.

Collaborative earth science groups create a working model of a watershed. Once it has been developed, you come along and introduce a change in land use, impacting the quality of water throughout their watershed. Model making is an...

For this subscription-based activity, algebra learners model changes in the length and width of a rectangle to determine the maximum area possible for a given perimeter and solve several application problems involving area, included in...

With the help of the Area Officers and Perimeter Patrol, you learners will develop a better understanding of area and its relationship to perimeter. First, they view a video clip from Cyberchase, and then they visit a website to...

Elementary schoolers are arranged in pairs and view the video Math Works: Measurement: The Difference Between Perimeter and Area. They discuss any prior knowledge they have of the term perimeter and then brainstorm together what the...

Investigate the area and perimeter of polygons in this geometry lesson. Young geometers use grid paper to draw a quadrilateral and calculate its area and perimeter. They also read The Greedy Triangle to identify the changing shape of...

In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...

Students explore the realms of measurement. In this math lesson plan, students analyze and solve problems in which rectangles with identical perimeters are compared to maximize or minimize area. This lesson can be extended for algebra,...

Here is an excellent cross-curricular lesson. Learners relate multiplication to area by making a grid on graph paper, and then creating the same grid in real space outside in the school yard.

Learners explore multiplying fractions and their relationship to parts of a whole. They draw and shade fractional parts to show parts of a whole and fractional parts of a fraction. Pupils also use an Internet site for interactive...

Explore the relationship between perimeter and area. Learners input the area and perimeter for shapes on the Shape Explorer website, solve problems using geoboards, complete a worksheet, create a PowerPoint presentation, and take an...