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PAlg4 - Standard

Version 7, changed by LFS. 02/14/2007.   Show version history


4. Algebra and Functions 1
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4.1 Writing and Evaluating Algebraic Expressions**: (Emphasis)
4.1.1 Uses variables and appropriate operations to write an expression, an equation, an inequality (e.g., three less than a number is two, half as large as area A).
4.1.2 Uses the correct order of operations and the properties of rational numbers to evaluate algebraic expressions in one or more variables such as evaluate: 3(2x + 5)2 for x= -2.

4.2 Using Algebraic Terminology**: (Emphasis)
Uses algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly.

4.3 Simplifying Algebraic Expressions:
Understands how to collect like terms with simple variables and natural number exponents () and understands that he can check his simplification (on the side) by substituting values into the beginning and end expression to see if they are the same, e.g. because x=2 or x=-1 doesn't work.

4.4 Solving One-Step Equations**: (Emphasis)
Solves 1-step equations like 3x=½ or -x/2=5 without errors.

4.5 Solving Equations: Variables on Both Sides**: (Emphasis)
Solves any linear equation with rational coefficients in one variable.

4.6 Checking a Solution of an Equation:
Knows how to checks the solution to any linear equation.

4.7 Solving Word Problems in One Variable**: (Emphasis)
Solve multistep problems involving rate, average speed, distance, and time or a direct variation.


*Crucial Review Skills:

  Evaluating Algebraic Expressions: Can substitute numeric values for up to 3 variables into an algebraic expression and correctly evaluate the value of the expression using the correct order of operations - expressions can include natural number exponents.

   Algebraic Terminology: Understands the difference between an expression and an equation and the terminology and methodology used for each – namely:

  • Simplify the expression’ requires a ‘snake’ of equation signs and the first and end expression must be equal and
  • Solve the equation’ requires an equation with a variable followed by a list of equivalent equations – each with a single equal sign; the last equation ending with ‘variable = number’.

  Solving One-Step Equations: Understands that extreme care must be taken not to lose sign or invert twice when dividing. Best practice: if variable is on the right side of the equation, inverts equation without doing anything else in that step, e.g. .

  Solving Equations: Variables on Both Sides: Understands how to solve equations of the form .

  Solving Word Problems in One Variable:Translates words into math, solves, checks reasonableness of answer and translates answer back into words.(No two variable problems pretending to be one variable problems, please).



* These standards are "under construction". Please feel more than free to contribute, suggest and criticize - LFS Site Meter

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  File By Size Attached Ver.
 s4_one-step.jpg LFS 2K 02/14/2007 1 Delete attachment
 s4_simplify1.jpg LFS 4K 02/14/2007 1 Delete attachment
 s4_simplify2.jpg LFS 1K 02/14/2007 1 Delete attachment
 s4_solve.jpg LFS 1K 02/14/2007 1 Delete attachment