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West Contra Costa Unified School District
Properties of Multiplication
Unlock the keys to fluent multiplication with this upper-elementary math lesson. After an introduction to the five properties of multiplication, learners match cards with different math problems to posters describing each...
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...
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...
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.
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...
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...
PHET
Area Model Multiplication
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...
Kentucky Department of Education
Multiplication Grade 3 Formative Assessment Lesson
Guide multiplication lesson plan instruction with a formative assessment. Mathematicians are given two multiplication problems to solve and represent using the area model, equal groups, repeated addition, and word problems. Following the...
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
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
Interpreting and Computing Division of a Fraction by a Fraction—More Models
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...
West Contra Costa Unified School District
The Power of Ten: Building a Magnitude Model
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.
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...
Oddrobo Software
King of Math Junior
Do your students have what it takes to be the king of math? Find out with this fun skills practice game that covers a wide range of topics from counting and basic operations to measurement and fractions.
Education Development Center
Area and Multiplication
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...
New York City Department of Education
Isabella’s Garden
Create rows and rows of vegetables. Pupils use their knowledge of multiplication to find the number of vegetable shoots planted in a garden and ways to arrange the vegetables in the performance task. Teachers use the suggested unit...
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
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...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models II
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous instructional activity, pupils consider partitive division using fraction bars and number lines. They first convert...
Illustrative Mathematics
Karl's Garden
Whose garden is bigger? Assess your class with the area task of finding out if Karl or Makenna's garden is bigger in area.
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
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...
EngageNY
Replacing Letters with Numbers II
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
New York City Department of Education
Chris’ Garden Dilemma
Make the connections between area, tiling, and multiplication. A performance task and associated unit presents the concept of area and makes the connection to multiplication. Pupils work through three major sections of instruction that...