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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.
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.
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...
Curated OER
Mapping the Bone Field: An Area and Scale Exercise
Here is an excellent cross-curricular lesson. Learners relate multiplication to area by making a grid on graph paper, and then creating the same grid in real space outside in the school yard.
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
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...
Curated OER
Conditional Probability and Probability of Simultaneous Events
Your statisticians examine the characteristics of conditional probability and the probability of simultaneous independent events. They perform computer activities to find probabilities for simple compound events. They examine the...
Curated OER
Students Multiply Polynomials
Factor polynomial functions that have two and three terms. Using Algeblocks, your class will create models to show their understanding of these concepts.
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
Illustrative Mathematics
Seeing is Believing
How many visual models can be used to show multiplication? Three basic kinds of models can be used to represent and explain the equation 4 x (9 + 2). The commentary section provides description and graphics to explain the set...
EngageNY
Solving Basic One-Variable Quadratic Equations
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
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
Starch Yer Thinkin' About Corn Products
Seventh graders study the parts of corn and explore the role of starch. In this corn products lesson students prepare a model of water and stones.
Curated OER
Multiplying Polynomials
Students explore the concept of multiplying polynomials. In this multiplying polynomials activity, students watch a video clip about basic math skills. Students work in groups on an exploration about why a binomial squared equals a...
EngageNY
Complex Numbers and Transformations
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...
Curated OER
Probability and Geometry
Students explore the ways Geometry can help solve probability problems. Students describe platonic solids and practice calculating probability using an online resource. They construct dice with various numbers of sides to demonstrate...
Curated OER
Factoring Trinomials
Students factor trinomials and other quadratic functions. In this algebra lesson, students solve trinomials containing negative and positive coefficients. They factor quadratics of difference squares as well as regular polynomials.
Curated OER
Multiplying Binomials
Students factor binomials and apply it. In this algebra lesson plan, students use patterns to factor difference of squares and FOIL to factor other binomials. They apply the concept of binomials to vertical multiplication.
Curated OER
Solving One Step Equations Using Algebra Tiles
Students solve linear equations. In this algebra lesson, students solve equations using addition, subtraction, division and multiplication. They evaluate and simplify functions.
Curated OER
FREE STANDING STRUCTURE
Students demonstrate basic construction skills by building a free standing structure. They compute the cost of the structure.
Curated OER
Water Usage and Conservation
Students investigate water usage at school and at home. They use graphs and tables to evaluate water usage. Students describe possible water conservation measures. They use graphs and tables to relate data as part of a written report.