Lesson Plan
EngageNY

Comparing Methods—Long Division, Again?

For Students 10th - 12th Standards
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
Lesson Plan
EngageNY

The Division of Polynomials

For Students 10th - 12th Standards
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.
Lesson Plan
EngageNY

Multiplication of Numbers in Exponential Form

For Teachers 8th Standards
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
Lesson Plan
EngageNY

The Long Division Algorithm

For Students 8th Standards
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
Lesson Plan
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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
NTTI

Hey Good Lookin', Whatchya Got Cookin'?

For Teachers 5th - 7th Standards
What better way to explore working with fractions then by using them when cooking? In this instructional activity, learners use video, the Internet, and real world, hands-on learning activities to enhance their understanding of...
Lesson Plan
Illustrative Mathematics

Banana Pudding

For Teachers 4th - 6th Standards
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole...
Lesson Plan
Curated OER

Cool Tools to Solve Challenging Word Problems

For Teachers 3rd - 5th
Students explore math functions by completing worksheets in class. In this word problem lesson, students read the story A Remainder of One and practice solving division problems from the story. Students complete a worksheet which...
Lesson Plan
Curated OER

Dividing by 4's

For Teachers 3rd
Third graders explore math functions by completing problem solving activities. In this division activity, 3rd graders utilize the division strategies acquired earlier to divide multiple digit numbers by 4's. Students complete problems on...
Lesson Plan
Illustrative Mathematics

How Many Containers in One Cup / Cups in One Container?

For Teachers 5th - 7th Standards
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
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. 
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...
Activity
Illustrative Mathematics

Origami Stars

For Teachers 4th - 6th Standards
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and...
Lesson Plan
Curated OER

How Fast Is Fast?

For Teachers 7th - 10th
Students make sensible estimates and check the reasonableness of the answers. Students write and solve problems involving decimal multiplication and division. Students perform calculations with time.
Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Lesson Plan
Curated OER

Matrix Madness!!

For Teachers 9th - 11th
Perform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day lesson: Matrix Madness, Mystical Matrices, and Decode the Encode. The last lesson has prizes that the class...
Lesson Plan
Curated OER

Fantastic Fraction Fudge

For Teachers 4th - 6th
In order to create some tasty fudge, learners must adapt a recipe. Using a recipe for fudge, ingredients must be correctly converted using fractions. If one fraction is incorrect, the fudge will reveal it! Although you will only make one...
Lesson Plan
Illustrative Mathematics

Running to School, Variation 2

For Teachers 5th - 7th Standards
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Activity
Illustrative Mathematics

Comparing Products

For Teachers 5th Standards
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...
Lesson Plan
Illustrative Mathematics

Making Cookies

For Teachers 5th - 7th Standards
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
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
Curated OER

Solving Equations Mixed Review

For Teachers 7th - 12th
Students solve linear equations with two steps. In this algebra instructional activity, students isolate the variable and solve for the unknown using division, multiplication, addition and subtraction.
Lesson Plan
Curated OER

Number Problems

For Teachers 9th - 11th
Students write equations for problems. In this number lesson plan, students add, subtract, multiply and divide numbers to solve for a variable. They rewrite word problems using algebraic symbols.
Activity
Illustrative Mathematics

How Much Pie?

For Teachers 5th Standards
The connection between fractions and division is not always intuitive for 5th graders. Pie, on the other hand, is something 5th graders can connect with. Multiple pies divided among multiple people provide the platform for your...

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