Willow Tree
Order of Operations
It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include absolute...
Charleston School District
Pre-Test Unit 1: Exponents
How much do you know about exponents? The pre-test covers the concepts of integer exponents with both numerical and algebraic one-variable expressions. The test is also over representing numbers in scientific notation, operating with...
Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Association for Supervision and Curriculum Development (ASCD)
Interpreting Algebraic Expressions
The title of this lesson should be "Algebraic Expressions Four Ways." Not only will your class be translating verbal descriptions of algebraic expressions to symbols, but also working with their geometric interpretation via area as well...
Justin Holladay
5 Dice: Order of Operations Game
Sometimes the simplest ideas can be the most challenging to solve! In this app, you are given five numbers and a set of operators, and you need to create an expression that when evaluated using the order of operations simplifies as the...
Centre for Education in Mathematics and Computing
Number Sense and Numeration: Exponents
On a three-page assignment, number crunchers will examine the laws of exponents and apply them to a variety of problems. They write expressions in exponential form or as repeated multiplication. They evaluate and simplify exponential...
Curated OER
Symbols in Algebra
Students name and sketch numerical expressions. In this order of operation instructional activity, students add, subtract, multiply and divide using the correct order of operation. They perform four specific calculations for their...
Curated OER
Solving Algebraic Expressions
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
McGraw Hill
Adding and Subtracting Radicals
Help remove some of the confusion surrounding the addition and subtraction of radical numbers with this set skills practice problems. Taken straight from the pages of a math text book, this resource provides learners with numerous...
Waterloo Mathematics
Number Sense and Numeration: Ratio and Rate
Seventh-graders solve 20 various types of problems related to ratio and rate. They write ratios in simplest form for each given statement, to compare the area of two figures, and write two ratios equivalent to each ratio. Pupils express...
Curated OER
Simplify Expression Using the Order of Operations
Allow learners to explore both the right and wrong way of completing equations with the order of operations. They discuss how the order in which operations are performed affects the outcome of a problem. A fun "trick" using order of...
Curated OER
Practice With Complex Fractions
For this math worksheet, students find the solutions to the complex fractions. They practice finding the common denominators for each part of the rational expression.
Curated OER
The Distributive Property
MIddle schoolers use the distributive property to combine terms in six expressions. They write nine expressions in simplest form. Middle schoolers perform one mental math problem, describing how they would solve the multiplication mentally.
MARS - Mathematics Assessment Resource Service
Applying Properties of Exponents
The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive activity begins with a pre-assessment task to check for prior knowledge and then goes into a...
Corbett Maths
Multiplying Algebraic Fractions
Make the complicated look relatively simple. The video shows how multiplication of algebraic fractions is easier when they factor the numerators and denominators. Pupils see which factors will cancel, or divide out, easier when writing...
Curated OER
Simplifying Complex Fractions/Expressions
In this simplifying complex fractions and expressions worksheet, students solve 10 different problems that include simplifying fractions. First, they determine the least common denominator of all fractions with the complex fraction....
Utah Education Network (UEN)
The Distributive Property For Numerical and Variable Expressions
Collaborate to research and share. Doesn't that sound great? Learners explore algebraic expressions, use Algeblocks to examine and compare numerical and variable expressions, and apply the distributive property. Examples and worksheets...
Curated OER
Dividing Radical Expressions
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
CK-12 Foundation
Expression Evaluation with Different Denominators: Adding Mixed Fractions of Water
An interactive challenges mathematicians to add mixed fractions with unlike denominators. Five questions—fill-in-the-blank and multiple-choice—build from one to the next leading the way to an open discussion about denominators and...
Curated OER
Simplifying Rational Expressions.
In this algebra worksheet, student simplify rational expressions. They use properties of exponential functions to solve. There are 79 questions.
Curated OER
Solving Algebraic Equations: Algebra/Geometry Institute
Students solve problems using PEMDAS. In this algebraic equations lesson plan, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.
Willow Tree
Scientific Notation
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation.
Willow Tree
Simplifying Square Roots
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...
Teacher Created Resources
Working with Algebraic Expressions
Learners understand that algebra is a branch of mathematics that uses symbols or letters to represent unknown numbers in problems. They also understand the definition for an algebraic expression. Make sure to click on the Download the...