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assessment and certification

CLAST

CLAST Arithmetic Skills

Add, subtract, multiply and divide rational numbers in fractional form
Add, subtract, multiply, and divide rational numbers in decimal form
Calculate percent increase and percent decrease
Solve “a % of b is c” where two of the variables are given
Recognize the meaning of exponents
Recognize the role of the base number in the base-ten numeration system
Identify equivalent forms of decimals, percents, and fractions
Determine the order relation between real numbers
Identify a reasonable estimate of a sum, average, or product
Infer relations between numbers in general by examining number pairs
Solve real-world problems that do not involve the use of percent
Solve real-world problems that involve the use of percent
Solve problems that involve the structure and logic of arithmetic

CLAST Geometry and Measurement Skills

Round measurements
Calculate distance, area, and volume
Identify relationships between angle measures
Classify simple plane figures by recognizing their properties
Recognize similar triangles and their properties
Identify unity of measurement for geometric objects
Infer formulas for measuring geometric figures
Select applicable formulas for computing measures of geometric figures
Solve real-world problems involving perimeters, areas, and volumes of geometric figures
Solve real-world problems involving the Pythagorean property

CLAST Algebra Skills

Add, subtract, multiply and divide real numbers
Apply the order-of-operations agreement
Use scientific notation
Solve linear equations and inequalities
Use formulas to compute results
Find particular values of a function
Factor a quadratic expression
Find the roots of a quadratic equation
Solve a system of two linear equations in two unknowns
Use properties of operations correctly
Determine whether a number is among the solutions of a given equation or inequality
Recognize statements and conditions of proportionality and variation
Identify regions of the coordinate plane that correspond to specific conditions and vice versa
Use applicable properties to select equivalent equations or inequalities
Solve real-world problems involving the use of variables
Solve problems that involve the structure and logic of algebra


CLAST Statistics Skills Including Probability

Identify information contained in graphs
Determine the mean, median, and mode
Use the fundamental counting principle
Recognize properties and interrelationships among the mean, median, and mode
Choose the most appropriate procedures for selecting an unbiased sample
Identify the probability of a specified outcome
Infer relations and make accurate predictions from studying statistical data
Interpret real-world data involving frequency and cumulative frequency tables
Solve real-world problems involving probabilities

CLAST Logical Reasoning Skills

Deduce facts of set inclusion or set non-inclusion from a diagram
Identify negations of simple and compound statements
Determine equivalence and nonequivalence of statements
Draw logical conclusions from data
Recognize invalid arguments with true conclusions
Recognize valid reasoning patterns shown in everyday language
Select applicable rules for transforming statements without affecting their meaning
Draw logical conclusions when facts warrant them

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Revised March 11, 2008

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