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Illustrative Mathematics

Numbers in a Multiplication Table

For Teachers 3rd - 5th Standards
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
Lesson Plan
Math Solutions

Factor Game

For Teachers 4th - 6th Standards
Learning about factors and multiples is all fun and games with this simple math activity. The lesson begins with the teacher and class playing the Factor Game together as students figure out the rules and uncover key...
Lesson Plan
EngageNY

The Zero Product Property

For Students 9th - 10th Standards
Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...
Lesson Plan
EngageNY

Equations Involving Factored Expressions

For Students 9th - 10th Standards
Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...
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...
Lesson Plan
Curated OER

Factor Fun for Fifth Graders

For Teachers 5th
Fifth graders explore common factors. In this factorization instructional activity, 5th graders discover the greatest common factor among two numbers in a game format. Students build on previous knowledge to determine the greatest common...
Lesson Plan
Curated OER

Using Electronic Manipulatives in Multiplication

For Teachers 9th - 11th
Factor polynomials using electronic manipulatives. Your class will create a spreadsheet in excel and use it to multiply and perform basic operations and solve problems correctly. They create a visual to go along with each multiplication...
Lesson Plan
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EngageNY

The Special Role of Zero in Factoring

For Students 10th - 12th Standards
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
Lesson Plan
EngageNY

Overcoming Obstacles in Factoring

For Students 10th - 12th Standards
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Interactive
CK-12 Foundation

Multiplication of Rational Expressions

For Students 9th - 11th Standards
There's nothing irrational about this lesson. Explore the process of multiplying rational expressions through discovery. A well-designed lesson has learners factor and multiply rational expressions by dragging factors to the correct...
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 2)

For Students 9th - 10th Standards
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Lesson Plan
Curated OER

Scale factors: Ratios and Proportions

For Teachers 8th - 11th
Students create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
Activity
Illustrative Mathematics

Cari's Aquarium

For Teachers 5th - 7th Standards
The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume,...
Activity
Illustrative Mathematics

Reasoning about Multiplication

For Teachers 4th - 6th Standards
In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is...
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...
Interactive
CK-12 Foundation

Zero Product Principle: Mysterious Parabolas

For Students 8th - 10th Standards
Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...
Lesson Plan
Curated OER

Symbols in Algebra

For Teachers 8th - 10th
Students name and sketch numerical expressions. In this order of operation lesson plan, students add, subtract, multiply and divide using the correct order of operation. They perform four specific calculations for their motivation lesson...
Lesson Plan
Curated OER

Students Multiply Polynomials

For Teachers 9th - 11th
Factor polynomial functions that have two and three terms. Using Algeblocks, your class will create models to show their understanding of these concepts.
Lesson Plan
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EngageNY

Putting It All Together

For Students 10th - 12th Standards
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
Lesson Plan
Curated OER

Transformations and Matrices

For Teachers 9th - 11th
There are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Lesson Plan
Curated OER

Multiplication: Determining the Weight of Multiple Objects

For Teachers 7th
Seventh graders use their knowledge of multiplication and problem solving to determine the total weight of multiple objects. In this multiplication lesson, 7th graders weigh various manipulatives, record the weight, and use...
Lesson Plan
Curated OER

What's in Wetland Soil?

For Teachers 6th - 8th
Middle schoolers examine the organic and inorganic components of soil. In this environmental science lesson, students identify the factors that influence soil formation. They collect soil samples, conduct tests, and analyze the results.
Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...