Daily lectures and other activities can become monotonous for even the most devoted students. When the schedule calls for a break, keep students learning at the same time they're having a good time. Build fun activities for high school English into your lesson plans whenever possible. Include a competing pair and one moderator in each group.
Print this page Expressions. An expression is a record of a computation with numbers, symbols that represent numbers, arithmetic operations, exponentiation, and, at more advanced levels, the operation of evaluating a function.
Conventions about the use of parentheses and the order of operations assure that each expression is unambiguous.
Creating an expression that describes a computation involving a general quantity requires the ability to express the computation in general terms, abstracting from specific instances. Reading an expression with comprehension involves analysis of its underlying structure.
This may suggest a different but equivalent way of writing the expression that exhibits some different aspect of its meaning. Algebraic manipulations are governed by the properties of operations and exponents, and the conventions of algebraic notation.
At times, an expression is the result of applying operations to simpler expressions. Viewing an expression as the result of operation on simpler expressions can sometimes clarify its underlying structure.
A spreadsheet or a computer algebra system CAS can be used to experiment with algebraic expressions, perform complicated algebraic manipulations, and understand how algebraic manipulations behave.
An equation is a statement of equality between two expressions, often viewed as a question asking for which values of the variables the expressions on either side are in fact equal. These values are the solutions to the equation.
An identity, in contrast, is true for all values of the variables; identities are often developed by rewriting an expression in an equivalent form. The solutions of an equation in one variable form a set of numbers; the solutions of an equation in two variables form a set of ordered pairs of numbers, which can be plotted in the coordinate plane.
A solution for such a system must satisfy every equation and inequality in the system. An equation can often be solved by successively deducing from it one or more simpler equations. For example, one can add the same constant to both sides without changing the solutions, but squaring both sides might lead to extraneous solutions.
Strategic competence in solving includes looking ahead for productive manipulations and anticipating the nature and number of solutions. Some equations have no solutions in a given number system, but have a solution in a larger system. The same solution techniques used to solve equations can be used to rearrange formulas.
Inequalities can be solved by reasoning about the properties of inequality.
Many, but not all, of the properties of equality continue to hold for inequalities and can be useful in solving them. Connections to Functions and Modeling.Westlake High School Mission Statement: provide a comprehensive education in a safe and positive learning environment; prepare students to function academically, vocationally, culturally and socially as responsible citizens; encourage personal integrity, pride and the life-long pursuit of knowledge and well-being; prepare students to make a meaningful contribution to an ever-changing society.
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