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...
EngageNY
Mathematical Area Problems
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...
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...
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.
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...
EngageNY
Writing Products as Sums and Sums as Products
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...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
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...
West Contra Costa Unified School District
Factoring Quadratic Expressions
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...
EngageNY
Writing Products as Sums and Sums as Products II
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...
EngageNY
Normal Distributions (part 2)
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.
University of California
Energy and Biomass Pyramids
Young scientists play tag as they act out the food pyramid in the ocean ecosystem. Energy circles pass from the smaller prey to the predators and at the end of the activity, a data chart and analysis questions allow pupils to apply their...
Curated OER
Plant Diversity and Distribution
Students construct a defined plot on school grounds and observed patterns in plant life. They count trees, shrubs, cacti and record on a data sheet. They compare data and generate a plant diversity overlook for their school.
Shodor Education Foundation
Normal Distribution
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,...
Cornell University
Constructing and Visualizing Topographic Profiles
Militaries throughout history have used topography information to plan strategies, yet many pupils today don't understand it. Scholars use Legos and a contour gauge to understand how to construct and visualize topographic profiles. This...
EngageNY
Using a Curve to Model a Data Distribution
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
National Nanotechnology Infrastructure Network
Introduction to Nanotechnology Using the Creative Problem-Solving Model
Should we continue to spend money on nanotechnology? Groups engage in a problem-solving unique process around the newly emerging research field of nanotechnology. In order to propose a solution, the groups must research nanotechnology...
EngageNY
Multiplying and Dividing Rational Expressions
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.
Curated OER
Area, Arithmetic and Algebra
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...
Science Matters
Spaghetti Fault Model
Does increasing the pressure between two moving plates provide a stabilizing force or create more destruction? The hands-on activity encourages exploration of strike-split fault models. The sixth activity in a 20-part series asks...
Teach Engineering
Bridge Types: Tensile and Compressive Forces
Bridges rely on tension and compression to keep them standing. Pairs test this principle by constructing simple bridges and applying a force to the center. Teams use the provided worksheet to record their observations of the...
Ohio Department of Education
Fraction Models - Grade Three
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...
Mathematics Assessment Project
Representing the Laws of Arithmetic
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...
EngageNY
Polynomial, Rational, and Radical Relationships
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,...
Curated OER
The Distributive Property
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...