Other
Mathedpage.org: Algebra Manipulatives: Comparison and History
This resource discusses the use of manipulatives in the study of Algebra. The author sees benefits in symbol manipulation to enrich understanding, in geometric interpretation strengthening the connection to other parts of mathematics,...
Texas A&M University
Wtamu Virtual Math Lab: Beginning Algebra: Adding and Subtracting Polynomials
A tutorial as an introduction to polynomials. Basic terminology and simple algebraic manipulations. Offers discussions and practice exercises with answers and explanations.
Scholastic
Scholastic: Solving the Unknown With Algebra
Students will learn and reinforce skills for solving for unknowns, manipulating equations while keeping them in balance, using formulas to solve real-world challenges, and working with proportions, radicals and exponents.
Khan Academy
Khan Academy: Algebra Ii: Manipulate Formulas
Manipulate multi-variable formulas to isolate specific variables in order to solve some word problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
CK-12 Foundation
Ck 12: Inverse of Functions Through Algebraic Manipulation
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the inverse of functions through algebraic manipulation.
E-learning for Kids
E Learning for Kids: Math: Soccer Stadium: Changing Numbers
On this interactive website students practice various math skills using a real life scenario on a soccer field. Those skills include creating numbers for a number pattern, creating patterns using manipulatives, and using diagrams to...
University of Regina (Canada)
University of Regina: Math Central: Patterning and Algebra
Large manipulatives and hands-on activities are used to teach patterns to Kindergarten and Grade One.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Compound Inequalities
"Dr. Math" provides a visual (graphical) approach to solving compound inequalities as opposed to an approach dependent upon algebraic manipulation.
Math Medics
S.o.s. Math: Simple Fractions
This S.O.S. tutorial gives students a basic review of simple fractions. Follow the tutorial to refresh your skills involving simple fraction manipulations. Each section contains problems with links to the answers.
Other
Math Ed Page: A Proposal for Early Math Education
A chapter from a book on mathematics instruction for elementary students. Henri Picciotti explains why instruction in number sense, function sense, and symbol sense is important. He offers sample plans for operation sense.
Khan Academy
Khan Academy: Equivalent Expressions
Practice determining whether or not two algebraic expressions are equivalent by manipulating the expressions. These problems require you to combine like terms and apply the distributive property. Students receive immediate feedback and...
Khan Academy
Khan Academy: Manipulate Expressions Using Structure
Rewrite an expression containing two unknown variables by choosing a given equation that is equivalent. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Wolfram Research
Wolfram Math World: Gaussian Elimination
This site provides an example of Guassian Elimination and concludes with a specific example.
CK-12 Foundation
Ck 12: Matrices to Represent Data
[Free Registration/Login may be required to access all resource tools.] A collection of resources to help students understand how to use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in...
Oswego City School District
Regents Exam Prep Center: Signed Numbers
This tutorial on signed numbers features lesson plans, practice pages, examples, application problems, and interactive work. Teacher resources include overhead manipulatives, card games, a Bingo game, and graphing calculator downloads.
Khan Academy
Khan Academy: Systems of Equations With Elimination Challenge
Solve systems of equations with multi-step elimination (e.g., a manipulation is needed in order for x-values and y-values to cancel each other out). Students receive immediate feedback and have the opportunity to try questions...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Slopes and Circles
The purpose of this task is to lead young scholars through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever angle AXB is a right angle. This consists of...
Oswego City School District
Regents Exam Prep Center: Central Tendency: Mean, Mode, Median
This tutorial discusses mean, median, and mode. It introduces the frequency table and gives several examples. A practice page is included and a teacher resource page that contains an activity using manipulatives.
Khan Academy
Khan Academy: Combining Like Terms With Rational Coefficients
Practice these problems combining like terms with rational coefficients.
Khan Academy
Khan Academy: Combining Like Terms With Rational Coefficients
Practice combining like terms for expressions that have rational coefficients. This requires adding and subtracting fractions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Khan Academy
Khan Academy: Matrix Elements
Find specific elements (also called entries) of given matrices. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Math2
Math2.org: Exponential Identities
A list of exponential rules and logarithm rules for manipulating such terms and factors in equations or expressions.
Alabama Learning Exchange
Alex: Battle to the Death: Adding Integers
The goal of this lesson is for learners to use manipulatives to add integers, creating concepts rather than memorizing rules. This lesson will be related to the 300 Spartans who battled the invading Persians at the Battle of Thermopylae,...
Khan Academy
Khan Academy: Combining Like Terms With Negative Coefficients & Distribution
Practice combining like terms using the distributive property. These problems involve adding and subtracting negative numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...