MATHEMATICS Competency 1: Number Sense, Concepts & Operations
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1 MATHEMATICS Competency 1: Number Sense, Concepts & Operations Real Numbers o Integers o Whole o Natural o Negative o Prime o Even o Odd o Consecutive Absolute Value Order of Operations Fractions o Numerator o Denominator o Improper o LCD o Add/Subtract o Multiply o Divide o Compare o Simplify o Mixed o Add Mixed o Complex o to Decimal o to Percent
2 Decimals o Add/Subtract o Multiply o Divide o Compare o to Fraction o to Percent Percents o Add/Subtract o Multiply o Divide o Compare o to Fraction o to Decimal RATIONAL & IRRATIONAL Real Rational Irrational Integers Whole Fractions & Decimals Natural
3 RADICALS o Simply o Add/Subtract EXPONENTS o Base o Power o Simplify o Multiply SCIENTIFIC NOTATION NUMBER THEORY CONCEPTS POLYNOMIALS PRIME FACTORS LEAST COMMON MULTIPLE GREATEST COMMON FACTOR End of Competency #1
4 MATHEMATICS Competency 2: Measurement TIME DISTANCE/LENGTH SPEED WEIGHT AREA VOLUME TEMPERATURE ENGLISH UNITS (Customary, U.S.) Hour, Minute, Second Mile, Yard, Foot, Inch Miles/Hour Tons, Pounds, Ounces Acre Gallon, Quart, Pint, Cup, etc. Degrees METRIC UNITS Length o Milli o Centi o Meters o Kilo Weight Grams Volume - Liters
5 CONVERSIONS English to Metric, Metric to English English to English, Metric to Metric TEMPERATURE Fahrenheit Celsius Conversions ESTIMATION Money Charts Area End of Competency #2
6 MATHEMATICS Competency 3: Geometry & Spatial Sense Point Line Plane Ray Angle o Right o Acute o Obtuse o Straight o Reflex o Complementary o Supplementary o Congruent Perpendicular Parallel Triangles o Perimeter o Base o Adjacent o Hypotenuse o Scalene o Isosceles o Acute o Obtuse o Right o Altitude (Height) o Median o Similar o Congruent o The Pythagorean Theorem
7 Polygons o Equilateral o Equiangular o Regular o Apothem o Radius o Area Quadrilaterals o Parallelograms o Consecutive Angles o Altitude o Height Rectangles Rhombus (Rhombi) Squares Trapezoids o Median o Altitude o Height o Isosceles FINDING AREA OF Triangle Rectangle Parallelogram Trapezoid Rhombus
8 Circles Radius Secant Chord Diameter Line of Centers Inscribed Angle Central Angle Point of Tangency Congruent Circles Circumscribed Circumference Area SOLIDS Prism o Surface Area of o Volume of Sphere o Surface Area of o Volume of Pyramid o Surface Area of o Volume of Cone o Surface Area of o Volume of Cylinder o Surface Area of o Volume of
9 RATIO & PROPORTION Ratio Proportion o Extremes o Means Coordinate Geometry, Plotting and Graphing Cartesian Y-axis X-axis Origin Coordinate(s) Line Slope Graphs of Functions Scaled Drawings Spatial Sense / Relationships End of Competency #3
10 MATHEMATICS Competency 4: Algebraic Thinking Constant Variable Term Coefficient Expression Monomial Binomial Trinomial Polynomial Algebraic Laws Commutative o Addition o Multiplication Associative o Addition o Multiplication Distributive Operations w/polynomials Addition Subtraction Multiplication (of 2 or more) Multiplication (of Mono & Poly) Multiplication (of Poly & Poly) Division (of Mono & Mono) Division (of Poly & Poly)
11 Interpreting Expressions Factors Prime Factors Least Common Multiple (LCM) Greatest Common Factor (GCF) Factoring & Simplifying Solving Equations & Inequalities Solution Equivalent (equations) Empty (null) Set Adding Subtracting Raising to a Power Reciprocals Linear Equations Consistent & Inconsistent o Add / Subtract o Substitute o Graph Quadratic Equations Direct Solutions Factoring Completing the Square Absolute Value Equations Inequalities Conditional Absolute
12 Properties of Inequalities Transitive Addition Sense Equivalent Word Problems Rate Work End of Competency #4
13 MATHEMATICS Competency 5: Data Analysis & Probability Reading Graphs Line graphs Bar graphs Pie graphs Reading Tables Statistical Concepts Range Sample Survey Central Tendency o Mean o Median o Mode Spread of Data Standard Deviation Percentile Frequency Distribution Probability & Statistics Probability Statistics Populations Odds Permutation Combination End of Competency #5
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