A tutorial as an introduction to polynomials. Basic terminology and simple algebraic manipulations. Offers discussions and practice exercises with answers and explanations.
A tutorial that shows you how to multiply polynomials and how to use the FOIL method when multiplying binomials.
A video exploring the process of fertilization where two sets of chromosomes come together to form a zygote. Video defines haploid, diploid, zygote, and fertilization. [10:26]
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Expressions
Type of Unit: Concept
Prior Knowledge
Students should be able to:
Write and evaluate simple expressions that record calculations with numbers.
Use parentheses, brackets, or braces in numerical expressions and evaluate expressions with these symbols.
Interpret numerical expressions without evaluating them.
Lesson Flow
Students learn to write and evaluate numerical expressions involving the four basic arithmetic operations and whole-number exponents. In specific contexts, they create and interpret numerical expressions and evaluate them. Then students move on to algebraic expressions, in which letters stand for numbers. In specific contexts, students simplify algebraic expressions and evaluate them for given values of the variables. Students learn about and use the vocabulary of algebraic expressions. Then they identify equivalent expressions and apply properties of operations, such as the distributive property, to generate equivalent expressions. Finally, students use geometric models to explore greatest common factors and least common multiples.
Students play an Expressions Game in which they describe expressions to their partners using the vocabulary of expressions: term, coefficient, exponent, constant, and variable. Their partners try to write the correct expressions based on the descriptions.Key ConceptsMathematical expressions have parts, and these parts have names. These names allow us to communicate with others in a precise way.A variable is a symbol (usually a letter) in an expression that can be replaced by a number.A term is a number, a variable, or a product of numbers and variables. Terms are separated by the operator symbols + (plus) and – (minus).A coefficient is a symbol (usually a number) that multiplies the variable in an algebraic expression.An exponent tells how many copies of a number or variable are multiplied together.A constant is a number. In an expression, it can be a constant term or a constant coefficient. In the expression 2x + 3, 2 is a constant coefficient and 3 is a constant term.Goals and Learning ObjectivesIdentify parts of an expression using appropriate mathematical vocabulary.Write expressions that fit specific descriptions (for example, the expression is the sum of two terms each with a different variable).
Lost at sea with only your sextant? Use your knowledge of longitude to find your place. This interactive site makes the concept of longitude concrete. Requires Adobe Flash.
In this lesson, students explore the many characteristics of a newspaper and try their hands at becoming reporters. They can expand their knowledge about Ernest Hemingway, and author a newspaper focusing on his life, especially his interests and travels. While this lesson is designed in conjunction with the PBS program, "Hemingway Adventure," access to the program is not essential to the lesson.
Teachers who are looking for a complete course study in physical geography need this site. It is very well organized and colorfully designed. It contains an online glossary, study guides, links, clip art, maps etc.