 COLLEGE PRE-ALGEBRA
 Students
should demonstrate mastery over the following competencies before entry
into College Pre-Algebra.
I. Operations with Whole Numbers
- Addition,
- subtraction,
- multiplication,
- and division to 3-digit accuracy with carrying and borrowing, place value, rounding.
II. Fractions, Ratios, Percents and Decimals
- Fractions, addition, subtraction, multiplication, and division addition (basic fractions only)
- Decimals, addition, subtraction, multiplication, and division addition (basic decimals only)
Pre-College Algebra Scope and sequence
You may not be able to cover all of the competencies with each student or with each cohort. Ideally, at the completion of ABE-to-College Pre-Algebra, students should demonstrate mastery of the following competencies:
I. Operations with Whole Numbers
-
Estimation
- Raise to higher powers (exponents)
- Find the square roots of perfect squares
- Identify prime and composite numbers
- Find GCF & LCM through prime factorization
- Simplify problems with multiple operations.
II. Fractions, Decimals and Percents
Fractions
- Add, subtract, multiply, and divide
- Reduce to lowest terms
- Convert proper to mixed, mixed to improper
Fractions and Decimals
- Convert decimals to fractions and fractions to decimals
- Solve mixed problems
- Order mixed decimals and fractions
- Multiply/divide by powers of 10
- Find higher powers and square roots
- Simplify problems with multiple operations.
Fractions, Decimals and Percents
- Convert percents to decimals/fractions/decimals/fractions to percents
- Solve three types of percent problemsIII. Ratio and Proportions
- Solve problems
- Percent proportions
IV. Formulas
Area, perimeter, circumference distance, simple interest
V. Real Numbers
Order of Operations
VI. Negative Numbers
Addition, subtraction, multiplication, and division with negative numbers
VII. Pre-Algebra, Simple Algebra
- Defining unknowns
- Combine like terms
- Simplify algebraic expressions
- Evaluate algebraic expressions
- Solve simple equations
- Translate English expressions into algebraic expressions
- Solve word problems through the use of algebraic expressions
VII. Statistics
- Identify & interpret types of graphs. line, bar, pie, picto-graph
- Use data to set up graphs
- Determine appropriate graph for given types of data.
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