| 5. |
STANDARD COMPETENCIES: |
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A. |
Investigate numerical and geometric patterns and express them mathematically. |
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B. |
Solve problems using a variety of problem solving strategies. |
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C. |
Solve problems using algebraic thinking skills. |
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D. |
Determine the validity of a statement using logic. |
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E. |
Solve problems using set theory. |
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F. |
Solve problems involving the arithmetic of whole numbers. |
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G. |
Represent and analyze patterns and functions, using words, tables, equations, and graphs. |
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H. |
Solve problems with different numeration systems. |
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I. |
Solve problems involving the arithmetic of integers. |
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J. |
Solve elementary problems in number theory. |
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K. |
Solve problems involving the arithmetic of rational numbers. |
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L. |
Solve problems involving real numbers. |
| 6. |
COURSE OUTLINE |
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1.0 |
Introduction to Problem Solving |
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1.1 The Problem-Solving Process and Strategies |
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1.2 Three Additional Strategies |
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2.0 |
Sets, Whole Numbers, and Numeration |
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2.1 Sets As a Basis for Whole Numbers |
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2.2 Whole Numbers and Numeration |
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2.3 The Hindu-Arabic System |
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2.4 Relations and Functions |
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3.0 |
Whole Numbers: Operations and Properties |
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3.1 Addition and Subtraction |
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3.2 Multiplication and Division |
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3.3 Ordering and Exponents |
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4.0 |
Whole Number Computation – Mental, Electronic, and Written |
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4.1 Mental Math, Estimation, and Calculators |
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4.2 Written Algorithms for Whole-Number Operations |
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4.3 Algorithms in Other Bases |
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5.0 |
Number Theory |
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5.1 Primes, Composites, and Tests for Divisibility |
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5.2 Counting Factors, Greatest Common Factor, and Least Common Multiple |
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6.0 |
Fractions |
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6.1 The Set of Fractions |
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6.2 Fractions: Addition and Subtraction |
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6.3 Fractions: Multiplication and Division |
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7.0 |
Decimals, Ratio, Proportion, and Percent |
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7.1 Decimals |
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7.2 Operations with Decimals |
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7.3 Ratio and Proportion |
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7.4 Percent |
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8.0 |
Integers |
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8.1 Addition and Subtraction |
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8.2 Multiplication, Division, and Order |
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9.0 |
Rational Numbers, Real Numbers, and Algebra |
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9.1 The Rational Numbers |
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9.2 The Real Numbers |
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9.3 Functions and Their Graphs |