Illustrative Mathematics
Reasoning about Multiplication
In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is...
Curated OER
The Customers
Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function.
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
Illustrative Mathematics
Watch Out for Parentheses 1
Parentheses are an important tool in the algebraic toolbox in regard to the structure of the algebraic equation. They are the beginning of the standard order of operations rule, the P in PEMDAS. The central question...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Newspaper Association of America
Power Pack: Lessons in Civics, Math, and Fine Arts
Newspaper in Education (NIE) Week honors the contributions of the newspaper and is celebrated in the resource within a civics, mathematics, and fine arts setting. The resource represents every grade from 3rd to 12th with questions...
5280 Math
Integer Interpreter
Can you add variables if you don't know their value? Using an empty number line, scholars first locate the position of the difference, sum, product, and quotient of two unknown integers. Later problems mix operations as well as add...
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Operations on Real Numbers
A tutorial will guide you through the rules and steps for adding, subtracting, multiplying, and dividing real numbers, as well as evaluating numeric expressions and using order of operations. Contains step-by-step solutions to example...
Oswego City School District
Regents Exam Prep Center: Undefined Fractions
This algebra tutorial helps students determine when a fraction is undefined and includes examples with rational expressions.
Help Algebra
Help algebra.com: Simplifying Exponential Expressions
The laws of exponents are put to action in several examples. The examples demonstrate how to simplify expressions that contain both coefficients and variables.
Help Algebra
Help algebra.com: Properties of Logarithms
Three properties of logarithms are presented here (product, quotient, and power properties). Examples are provided to demonstrate how to use the properties to expand and simplify logarithmic expressions.
Help Algebra
Help algebra.com: Positive Integer Exponents
The Product of a Power and Power to a Power laws of exponents are introduced. Examples are included to demonstrate how to simply expressions with these laws.
Help Algebra
Help algebra.com: Roots
After defining roots (radicals), this resource focuses on square roots. Examples are given to demonstrate how to simplify, find principal roots, and gives several properties of square roots.
Wyzant
Wyzant: Equation Calculator
Students can input an equation and have the site solve it for them, complete with steps shown and explanations given along the way. Equations must be simple, first- or second-degree with only one variable. A quick list of rules to follow...
Help Algebra
Help algebra.com: Simplifying Radical Expressions
Simplifying radicals that do not contain perfect squares can be done easily by following the steps outlined on this resource. Use the examples to see exactly how to do this.
Math2
Math2.org: Exponential Identities
A list of exponential rules and logarithm rules for manipulating such terms and factors in equations or expressions.
Oswego City School District
Regents Exam Prep Center: Powers of Products
This lesson will teach you how to apply the Power of Products rule to exponential expressions. The variety of examples will help you use this rule for similar problems.