Interactive
PHET

Area Model Introduction

For Students 2nd - 4th Standards
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...
Interactive
PHET

Area Model Algebra

For Students 3rd - 8th Standards
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...
Lesson Plan
Education Development Center

Area Model Factoring

For Teachers 6th - 9th Standards
 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...
Interactive
PHET

Area Model Decimals

For Students 5th Standards
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...
Lesson Plan
EngageNY

Mathematical Area Problems

For Teachers 7th Standards
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...
Interactive
Scholastic

Study Jams! Area of a Triangle

For Students 4th - 6th Standards
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...
Assessment
Curriculum Corner

Area and Perimeter

For Students 3rd - 4th Standards
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...
Lesson Plan
EngageNY

Interpreting Division of a Fraction by a Whole Number—Visual Models

For Teachers 6th Standards
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...
Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
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. 
Lesson Plan
EngageNY

The Division of Polynomials

For Students 10th - 12th Standards
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.
Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
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...
Interactive
CK-12 Foundation

Area and Volume of Similar Solids: Similar Solids

For Students 6th - 12th Standards
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...
Unit Plan
Buffalo State

A Five Day Approach to Using Technology and Manipulatives to Explore Area and Perimeter

For Teachers 3rd - 6th Standards
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...
Lesson Plan
EngageNY

Real-World Area Problems

For Students 7th Standards
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.
Handout
2
2
Centre for Innovation in Mamatics Teaching

Area, Perimeter and Volume

For Students 5th - 8th Standards
Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...
Interactive
PHET

Area Model Multiplication

For Students 3rd - 7th Standards
Develop a solid understanding of multiplication. The interactive provides opportunities for learners to continue building a deep understanding of multiplication. Pupils use the application to find the product of two numbers and find...
Lesson Plan
West Contra Costa Unified School District

The Power of Ten: Building a Magnitude Model

For Teachers 4th - 5th Standards
Add visual representation to teaching place value with a magnitude model. Using adding machine tape, pupils build a linear place value strip from 1 to 100.
Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 1)

For Students 10th - 12th Standards
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
Lesson Plan
Odell Education

Arc Length and Area of a Sector

For Teachers 9th - 11th Standards
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Lesson Plan
EngageNY

Interpreting and Computing Division of a Fraction by a Fraction—More Models

For Teachers 6th Standards
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
Lesson Plan
EngageNY

Surface Area

For Students 7th Standards
Explore finding the surface area of composite figures. Building on the previous lessons in the 29-part series, the 24th installment examines the surface area of three-dimensional solids. The focus is on decomposing composite figures and...
Lesson Plan
Education Development Center

Area and Multiplication

For Teachers 6th - 9th Standards
Take some intellectual fun and apply it to the concept of multiplying expressions together. A guide models how to break two numbers into an area model to multiply together in pieces similar to FOILing. The rest of the puzzles consist of...
Unit Plan
1
1
Virginia Department of Education

Exploring 3-D Geometry

For Teachers 6th - 8th Standards
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Lesson Plan
EngageNY

Interpreting Division of a Whole Number by a Fraction—Visual Models

For Teachers 6th Standards
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...

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