DE 051 Basic Arithmetic Skills
I. Whole Numbers
A. Addition, subtraction, multiplication and division of whole numbers.
B. Whole-number exponents and rounding whole numbers.
C. Order of operations.
D. Applied problems.
A. Decimal notation.
B. Ordering and rounding decimals.
C. Addition, subtraction, multiplication and division of decimals.
D. Conversion of notations.
E. Problem applications.
A. Understanding fractions.
B. Reducing fractions.
C. Improper fractions and mixed numbers.
D. Multiplication and division of fractions.
E. Least common denominator and building up fractions.
F. Addition and subtraction of fractions.
G. Applied problems involving fractions.
IV. Ratio and Proportion
A. Ratios and rates.
B. Concept of proportions.
C. Solving proportions.
C. Applications of proportions.
A. Understanding percent.
B. Conversions between percents, decimals and fractions.
C. Solving percent problems - translating to equations.
D. Solving percent problems - using proportions.
E. Solving applied percent problems.
A. American units.
B. Metric measurements: length.
C. Metric measurements: volume and weight.
D. Conversion of units.
E. Scientific notation.
F. Applied problems.
A. Rectangles, squares, parallelograms and trapezoids.
B. Angles and triangles.
D. Volume of rectangular solids.
E. Similar geometric figures.
F. Applications of geometry.
VIII. Signed Numbers
A. Addition, subtraction, multiplication and division of signed numbers.
B. Order of operations with signed numbers.
IX. Introduction to Algebra
A. Variables and like terms.
B. Distributive properties.
C. Solving equations.
D. Translating English to algebra.
E. Problem solving.
A. Circle graphs.
B. Bar graphs.
XI. Square Roots and the Pythagorean Theorem
A. Square roots.
B. Pythagorean theorem.