EngageNY
Least Common Multiple and Greatest Common Factor
Find the common denominator between prime factors, factor trees, and the distributive property. Scholars learn to find the least common multiple and greatest common factor of pairs of numbers. They rotate through stations to connect...
EngageNY
Changing the Base
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
EngageNY
Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Virginia Department of Education
Mathematics Vocabulary Cards – Grade 4
An excellent way to reinforce math vocabulary in your classroom! Seventy-eight posters focus on number and number sense, computation and estimation, measurement, geometry, probability and statistics, and patterns, functions, and algebra.
Curated OER
Rational Numbers
In this rational numbers worksheet, 9th graders solve and complete 12 different problems by dividing each equation. First, they use the division rules given at the top of the sheet to determine how they are going to solve each problems....
Curated OER
Using Proof in Algebra
In this using proofs in algebra worksheet, 10th graders solve 2 proofs by applying the many rules from algebra for the Properties of Equality for real numbers. They name the property that justifies each statement as seen in the...
Illustrative Mathematics
Writing Expressions
Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...
Curated OER
Domain: Operations and Algebraic Thinking
Practice basic operations for young mathematicians in fun ways! Using two decks of cards (Ace through 10 plus the joker), learners play "memory" by matching numbers that can be added to make 10 and writing number sentences. In another...
Curated OER
Algebra Worksheet: Number systems
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...
Curated OER
Factoring
In this factoring worksheet, young algebra pupils practice factoring a binomial that is the difference of two squares and factoring by grouping terms for polynomials of four terms.
Curated OER
Got These Properties? (Commutative in Addition/Zero in Addition and Subtraction)
Second graders examine the commutative property of addition and the property of zero in addition and subtraction. They complete an asessment worksheet to gain practice reading and working number sentences horizontally and vertically.
Curated OER
Modeling Addition: Commutative Property and Zero Property
First graders practice modeling addition. In this hands-on addition lesson plan, 1st graders are introduced to the Commutative Property of Addition and the Zero Property of Addition through modeling and the use of manipulatives. This...
Curated OER
Pattern Search
Third graders review the commutative and associative property in mathematics. Using a worksheet, they work together to identify the patterns between the 32 triangles. To end the lesson plan, they create their own array and exchange it...
Curated OER
Solving Equations
In this solving equations worksheet, 9th graders solve and complete 14 different problems that include multiplication and division. First, they solve each equations using either the multiplicative property of equality of the division...
EngageNY
Three-Dimensional Space
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and...
EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They...
Curated OER
Solving Algebraic Equations: Algebra/Geometry Institute
Students solve problems using PEMDAS. In this algebraic equations lesson, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.
EngageNY
Multiplying and Dividing Expressions with Radicals
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide...
Curated OER
Representing Relationships with Equations
Students explore Cuisenaire Rods. In this pre-algebra lesson, students work with a partner to generate addition problems with the sum of ten using Cuisenaire Rods. Students construct examples of the Commutative Property using...
Curated OER
Rational Numbers
In this Algebra I worksheet, 9th graders identify properties from the real number system and use the distributive property to collect simplify expressions with parentheses. The one page interactive worksheet contains five multiple...
Curated OER
Division Problems with 0 and 1
Learners explore beginning division. In this division number properties lesson, students solve simple division story problems using cookies. Learners create models that represent the identity and zero properties, then write explanations...
Curated OER
Commutative Property
First graders investigate the Commutative Property of Addition. It is introduced using models such as students, counters, balances and dominoes. They discover the order of the numbers in an addition sentence does not change the result...
Curated OER
Algebra Challenge: One Variable Equations
In this equation worksheet, students solve one-step algebra equations. They use the distributive property to solve two-step algebra equations. This one-page worksheet contains 20 problems.