PHET
Area Model Introduction
Provide two views of multiplication. The introduction to an area model application has two modes. One mode shows the area of simple multiplication up to 12 by 12. The second mode shows how area models can be partitioned leading to the...
PHET
Area Model Algebra
Expand the pupils knowledge of using area models to algebra. The interactive allows learners to use the same procedure of getting partial products when multiplying multi-digit numbers to multiplying polynomials. Scholars see how the...
Education Development Center
Area Model Factoring
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...
Curated OER
Area Model of Multiplication Using Base 10 Manipulatives
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 the...
PHET
Area Model Decimals
Area works with decimals too. Pupils use the interactive to model multiplication of two decimals using an area model. They see how the decomposed components of the factors obtain partial products and then the complete product. Using area...
Center for Mathematics and Technology
Whole Numbers: Using an Area Model to Explain Multiplication
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...
Scholastic
Study Jams! Area of a Triangle
Even though there is a wide variety of different triangles in the world, knowing a single equation allows us to find the area of each and every one of them. Follow along with this step-by-step presentation as Zoe clearly models how to...
PHET
Area Builder
All that matters is the tiles. Pupils use the interactive to investigate the relationship between area and perimeter using tiles. The interactive has an explore and a game mode to accommodate different steps in learning. The game mode...
Curated OER
Area Model of Multiplication
Fifth graders build area models to represent multi-digit multiplication. This activity is not complete, but having pupils learn first through hands-on experiences builds a solid mathematical foundation.
Curated OER
FOIL method using the area model
In this FOIL method activity, students multiply binomials using the FOIL method and the area model. Students find the area of rectangles to investigate why the FOIL method works. Worked examples are provided.
Curated OER
Modeling Multiplication and Division of Fractions
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.
Curriculum Corner
Area and Perimeter
Get third graders excited to work find area and perimeter of unit squares, rectangles, and irregular shapes. A 36-page packet comes with task cards, graphic organizers, practice worksheets, printables with squares, exit tickets, and word...
Curated OER
Teach Surface Area and Volume in the Most Engaging Way!
Build a Zarcon-proof home as a math activity that will provide tremendous advantages for engagement, for differentiation, and for mastery of concepts. This activity focuses specifically on surface area and volume using mathematical...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a instructional activity 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...
EngageNY
Interpreting Division of a Fraction by a Whole Number—Visual Models
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...
EngageNY
The Multiplication of Polynomials
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.
EngageNY
The Division of Polynomials
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.
EngageNY
Proving the Area of a Disk
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 formula.
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
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 scatter...
Teach Engineering
Scale Model Project
Try your hand at scale models. Scholars create a scale model of an object using a scale factor of their choice. As part of the project, they give presentations on their processes and calculations. This is the last installment of the...
CK-12 Foundation
Area and Volume of Similar Solids: Similar Solids
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
Curated OER
Area and Perimeter Floor Plan
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...
Buffalo State
A Five Day Approach to Using Technology and Manipulatives to Explore Area and Perimeter
Young mathematicians build an understanding of area and perimeter with their own two hands in a series of interactive geometry lessons. Through the use of different math manipulatives, children investigate the properties of rectangles,...
EngageNY
Real-World Area Problems
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.
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