Virginia Department of Education
Exponents
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
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 radical...
EngageNY
Proofs of Laws of Exponents
Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.
Curated OER
The Commutative Cookie
Third graders investigate the commutative properties of multiplication and focus upon the setting of cubes in the correct patterns to solve problems. They differentiate between numbers that have multiple factors and prime numbers....
Curated OER
Multiplying Up To 12 By 1 (B)
In this multiplication instructional activity, students find the products by multiplying times one. Students solve 36 problems.
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, they create their own array and exchange it with...
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...
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...
Curated OER
The Difference of Two Squares
Students practice the use of number properties through exploring the difference of two squares, creating an array model for multiplication, and work with decimal numbers. In groups, students explore patterns in an array and determine...
Curated OER
Solving Equations
In this solving equations learning exercise, 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...
Curated OER
Partial Products
Students use the partial products algorithm to complete multiplication problems. In this partial products lesson plan, students are introduced to the algorithm and connect the relationship to multiplication and division problems.
Curated OER
Division Problems with 0 and 1
Students explore beginning division. In this division number properties instructional activity, students solve simple division story problems using cookies. Students create models that represent the identity and zero properties, then...
Curated OER
Using Arrays to Show Multiplication Concepts
Students draw arrays. In this multiplication lesson, students draw arrays, write multiplication sentences for arrays and discuss how changing the order of the factors affects the product.
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...
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
Design a Track
Students investigate track and field dimensions, measure an actual track, and construct a scale model. The use of a meter stick, dimensional analysis, and the application of the distributive property to variables forms the main focus of...
Curated OER
Multiplying Polynomials
In this multiplying polynomials worksheet, 9th graders solve and complete 9 different problems. First, they find each product by either using the distributive property or multiplying polynomials vertically. Then, students combine like...
Curated OER
Solving Equations by Factoring
For this solving equations by factoring worksheet, students solve and complete 10 different problems. First, they solve each equation using the Zero product property. Then, students define a variable and use an equation to solve the...
Curated OER
The Haar Wavelet Filter Bank
In this Haar Wavelet instructional activity, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first,...
Curated OER
Extra Practice 7.1: Properties of Exponents
For this properties of exponents worksheet, students multiply and divide terms with variables and exponents. They find the area of triangles and circles. Students determine the volume of given shapes. This two-page worksheet contains...
Curated OER
Quadratic Equations
In this algebra worksheet uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
Curated OER
Operations with Decimals
Teach your learners to solve word problems. They will review how to add, subtract, multiply, and divide with decimals. Then they solve multiple problems.
Illustrative Mathematics
Making Cookies
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...
Curated OER
Multiplying Polynomials
Students explore multiplying polynomials. They observe solving polynomials using the standard order of operations, FOIL, and the box method. Throughout the demonstration, students explore strategies of solving word problems such as...