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...
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...
Lesson Plan
Center for Mathematics and Technology

Whole Numbers: Using an Area Model to Explain Multiplication

For Teachers 3rd - 4th Standards
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...
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. 
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

Writing Products as Sums and Sums as Products

For Teachers 7th Standards
Create rectangle and area models to help students understand expressions. The third installment in the 28-part series has pupils first represent expressions using rectangular array models. The exercises help scholars understand the...
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 1)

For Students 9th - 10th Standards
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
Lesson Plan
1
1
West Contra Costa Unified School District

Factoring Quadratic Expressions

For Teachers 8th - 10th Standards
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...
Lesson Plan
EngageNY

Writing Products as Sums and Sums as Products II

For Teachers 7th Standards
Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...
Lesson Plan
EngageNY

Normal Distributions (part 2)

For Students 10th - 12th Standards
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
Interactive
Shodor Education Foundation

Normal Distribution

For Students 6th - 12th Standards
Does the size of the bin matter? The resource allows pupils to explore the relationship between the normal curve and histograms. Learners view histograms compared to a normal curve with a set standard deviation. Using the interactive,...
Lesson Plan
EngageNY

Using a Curve to Model a Data Distribution

For Teachers 9th - 12th Standards
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
Lesson Plan
1
1
EngageNY

Multiplying and Dividing Rational Expressions

For Students 10th - 12th Standards
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 
Lesson Plan
Curated OER

Area, Arithmetic and Algebra

For Teachers 8th - 10th
Students model formulas for rectangles and squares. In this area, arithmetic and algebra lesson, students explore the formula for the area of squares and rectangles. They use squares to model the formula for the area and identify...
Lesson Plan
Ohio Department of Education

Fraction Models - Grade Three

For Teachers 3rd - 4th Standards
Explore fractions using different manipulatives and illustrations. Your class can create a variety of models of fractions and mixed numbers with drawings and manipulatives. They then work to compare fractions, mixed numbers, and whole...
Lesson Plan
Mathematics Assessment Project

Representing the Laws of Arithmetic

For Teachers 6th Standards
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Lesson Plan
Curated OER

The Distributive Property

For Teachers 7th - 9th
Students use a visual to introduce the Distributive Property. The lesson is chronologically numbered and follows a distinct plan. The class works with the teacher to complete the lesson. The plan is not written in a traditional way, but...
Lesson Plan
Curated OER

Fill and Wrap It Up

For Teachers 6th - 8th
Learners 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...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Handout
1
1
West Contra Costa Unified School District

Multiplying Numbers

For Students 3rd - 6th Standards
Provide families with the guidance needed to support their child's proficiency in multiplying numbers. Three pages offer detailed descriptions and labeled examples.  
Lesson Plan
Pennsylvania Department of Education

Multiplication Using Arrays

For Teachers 2nd - 4th
Explore the concept of multiplication by using arrays. Classmates use arrays to gain a better understanding of multiplication. They break arrays apart to model the distributive property of multiplication over addition. The relationship...
Interactive
Shodor Education Foundation

Overlapping Gaussians

For Students 9th - 12th Standards
Adjust the overlap to compare probabilities. Using sliders, learners adjust the shape of two Gaussian curves. The interactive calculates the area of the left tail for one curve and the right tail for the other. Pupils set the interactive...
Lesson Plan
Curated OER

Giant Museum

For Teachers 2nd - 4th
Scholars make a giant scale model of an object. They will take a regular item and enlarge it to five times its length and width. They attempt this same concepts with a 3D model.