Properties and Identities Teacher Resources
Find Properties and Identities educational ideas and activities
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Students are introduced to the basic algebraic properties then build, draw and explain area models. In this algebraic properties lesson, students work in groups to complete a worksheet then discuss what it means to be a property in algebra. Students complete a worksheet on distributive property and combine like terms.
Identify the Algebraic Property
Ninth graders investigate algebraic properties. In this Algebra I lesson, 9th graders identify the property of algebra given an example of the property.
Famous Public Properties
What can a middle schooler do in 90 minutes? He can practice using the commutative, associative and distributive properties of addition and multiplication. He can also simplify expressions using the commutative, associative and distributive properties. Now that's time well spent!
Concepts in Algebra
Students study the islamic achievement in mathematics In this algebra lesson, students review the six forms of equations of Al-Khwarizmi. They solve equations using different forms.
"Order It"-A Mathematical Card Game
Eighth graders reinforce their skills with the order of operations and their knowledge of the algebraic properties in a game format. In this eight grade mathematics lesson, 8th graders use standard playing cards and the basic operations to create one number using four cards. Students justify their solution in written and/or oral format.
Properties of Operations
Learners consolidate and extend understanding of simple properties of the four arithmetic operations. They use these properties as an aid to easy calculation. They discover and use some more complex properties of addition, subtraction, multiplication and division.
Inductive and Deductive Reasoning
High schoolers use logical arguments and inductive reasoning to make or disprove conjectures. After observing a teacher led demonstration, students discover that the deductive process narrows facts to a few possible conclusions. In groups, they match definitions to a corresponding property. High schoolers create a PowerPoint of vocabulary words, draw illustrations of mathematical properties, and use a FISH diagram to illustrate information.
Famous Public Properties
Middle schoolers identify and use the commutative properties of addition and multiplication.They demonstrate associative properties of addition and multiplication, and practice the distributive property of multiplication over addition.
Algebra...Your Second Language
Help learners translate word problems into algebraic equations. They will rewrite words using symbols and evaluate algebraic expressions using real life scenarios, animation sequences, video presentations, and activities to help students engage in learning. Activity pages are included.
Exponent Properties Involving Quotients
A series of problems involving exponent properties is the focus of this video. Sal demonstrates rational expressions, simplifying fractions, and how to manipulate algebraic equations using exponents and division.
Exponent Properties Involving Products
After a short review on exponents, Sal moves ahead to incorporate exponent properties into his sample problems. This video is a great resource for those who need both the steady pace of Sal's instruction, and also for those who need the challenge of more complicated problems.
Renting Cars, Stealing Money, and Linear Functions
When comparing pricing models, young mathematical consumers, create linear equations and analyzing them graphically and algebraically. They look at the meaning of slope and intercepts, as well as the intersection points of lines.
Picture Frames and Algebra
Middle schoolers create a method for finding the area of a fame for a picture and then transfer their shared methods into algebraic expressions. They develop the algebraic language to communicate and solve problems effectively and use variables and symbols to write equations. Pupils use the computer to examine graphic representation of their equations.
Proving Supplementary and Complementary
Students examine their prior knowledge of algebra to explore geometric proof. In this proving supplementary and complementary lesson, students prove a solution to an equation using algebraic properties. Students then write their own statements to prove their logic. Students then complete a series of geometric proof problems.
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the concepts with styrofoam cones and two-dimensional graphs. It also provides a link to the worksheet necessary to complete the exercise.
Exponent Properties 6
Watch Sal employ the associative property and the power rule to simplify a complex exponential equation. This is video six in the seven-part series on the properties of exponents.
Exponent Properties 7
Here is the final video in a seven-part series on the properties of exponents. Sal recaps and expounds upon the properties of exponents to simplify a complex exponential equation.
Exponent Properties 1
Introduce the properties of exponents with this video, which is the first in a seven-part series. Sal defines the first exponential property using an expression as his working example. He thoroughly explains his reasoning.
Exponent Properties 5
Sal provides a simple example to explain what, 'raised to the 3rd power' means. This is the 5th video on the properties of exponents. It focuses on why raising exponential expression works.
Exponent Properties 4
In video four of the seven-part series on properties of exponents, Sal simplifies a complex exponential expression to show how to apply both the quotient property and power rule.