Course Description
Pre-Algebra is the bridge between basic arithmetic and Algebra. It helps students understand the “why†behind math operations, introduces new concepts, and develops problem-solving skills.
Think of Pre-Algebra as the training ground for Algebra:it takes the numbers, operations, and ideas you already know and extends them into new ways of thinking.
Course Information
- Course Code: MATH 96
- Course Title: Pre-Algebra-96
- Department: Mathematics
- Prerequisite: None
- Course Length: 16 Weeks
Learning Outcomes
- Learn to work confidently with numbers, fractions, decimals, and negative numbers
- Understand ratios, proportions, and percentages
- Explore exponents, radicals, and scientific notation
- Introduce variables, expressions, and equations
- Solve word problems using logical reasoning
- Begin graphing and understanding patterns
Why Pre-Algebra Matters:Â Â
Course Units
- Unit 1 Numbers & Operations
Introduction to whole numbers, integers, and basic arithmetic operations, including addition, subtraction, multiplication, and division.
- Unit 2 Factors & Multiples
Learn prime numbers, factors, multiples, greatest common factors, and least common multiples.
- Unit 3 Fractions
Understanding fractions, equivalent fractions, simplifying, comparing, and performing operations with fractions.
- Unit 4 Mixed Numbers
Learn mixed numbers, improper fractions, conversion, and arithmetic with mixed numbers.
- Unit 5 decimals
Introduction to decimals, place value, rounding, and performing operations with decimals.
- Unit 6 Ratios, Proportions, & Percents
Learn ratios, rates, proportions, percentages, and their real-world applications.
- Unit 7 Exponents & Radicals
Introduction to powers, square roots, cube roots, and operations with exponents and radicals.
- Unit 8 Scientific Notation
Understanding how to express very large or small numbers using scientific notation and applying it in calculations.
- Unit 9 Variables & Expressions
Introduction to variables, algebraic expressions, simplifying expressions, and evaluating with substitution.
- Unit 10 Equations & Inequalities
Solve one-step and multi-step equations and inequalities and interpret their solutions.
- Unit 11 Order Of Operations
Apply PEMDAS/BODMAS rules to simplify expressions and solve problems accurately.
- Unit 12 Coordinate Plane & Patterns
Explore the coordinate plane, plotting points, identifying patterns, and understanding basic graphing concepts.
- Unit 13 Word Problems & Problem Solving
Develop strategies to translate word problems into mathematical expressions and solve them step by step.
- Unit 14 Basic Geometry
Introduction to shapes, angles, perimeter, area, volume, and basic geometric reasoning.
Course Lessons
- Unit 1: Numbers & Operations
- Lesson 1: Number Line Visuals
- Lesson 2: Number Sets
- Lesson 3: Identity Numbers
- Lesson 4: Opposite & Negative Numbers
- Lesson 5: Comparing & Ordering Numbers
- Lesson 6: Properties of Numbers
- Lesson 7: Rational vs Irrational Numbers
- Lesson 8: Adding & Subtracting Signed Numbers
- Lesson 9: Multiplying Signed Numbers
- Lesson 10: Dividing Signed Numbers
- Lesson 11: Absolute Value
- Lesson 12: Rounding & Estimation
- Unit 2: Factors & Multiples
- Lesson 13: Divisibility Rules
- Lesson 14: Multiples
- Lesson 15: Factors vs Multiples
- Lesson 16: Factors
- Lesson 17: Factor Trees & Prime Factorization
- Lesson 18: Prime & Composite Numbers
- Lesson 19: Least Common Multiple
- Lesson 20: Greatest Common Factor
- Lesson 21: Applications & Word Problems
- Lesson 22: Perfect Squares, Cubes & Intro to Exponents
- Unit 3: Fractions
- Lesson 23: Fraction Number Line Visuals
- Lesson 24: Reducing Fractions
- Lesson 25: Equivalent Fractions
- Lesson 26: Adding & Subtracting Fractions with Unlike Denominators
- Lesson 27: Division by Zero
- Lesson 28: Adding & Subtracting Fractions
- Lesson 29: Multiplying & Dividing Fractions
- Lesson 30: Signs of Fractions
- Lesson 31: Reciprocals
- Lesson 32: Improper Fractions & Mixed Numbers Intro
- Lesson 33: Fraction Word Problems with Ratios
- Unit 4: Mixed Numbers
- Lesson 34: Improper Fractions & Mixed Numbers
- Lesson 35: Converting Between Improper & Mixed
- Lesson 36: Converting Fractions to Decimals
- Lesson 37: Adding & Subtracting Mixed Numbers
- Lesson 38: Multiplying & Dividing Mixed Numbers
- Lesson 39: Fractions, Decimals & Percents Relationships
- Lesson 40: Adding Mixed Measures
- Lesson 41: Fraction Word Problems
- Unit 5: Decimals
- Unit 6: Ratios, Proportions, & Percents
- Lesson 48: Ratios & Proportions
- Lesson 49: Scale Drawings & Map Problems
- Lesson 50: Unit Price & Rate Problems
- Lesson 51: Unit Multipliers & Scaling
- Lesson 52: Percents & Percentage Problems
- Lesson 53: Percent Increase & Decrease
- Lesson 54: Compound Percent & Successive Change
- Lesson 55: Simple Interest (Real Life)
- Lesson 56: Multi-Step Ratio & Percent Problems
- Unit 7: Exponents & Radicals
- Lesson 57: Introduction to Exponents
- Lesson 58: Rules of Exponents
- Lesson 59: Zero & Negative Exponents
- Lesson 60: Power Rule
- Lesson 61: Quotient Rule
- Lesson 62: Fractional Exponents
- Lesson 63: Exponents with Negative Bases
- Lesson 64: Introduction to Radicals
- Lesson 65: Adding & Subtracting Radicals
- Lesson 66: Multiplying Radicals
- Lesson 67: Dividing Radicals
- Lesson 68: Radical Expressions
- Lesson 69: Exponents & Radicals Word Problems
- Unit 8: Scientific Notation
- Lesson 70: Powers of 10
- Lesson 71: Introduction to Scientific Notation
- Lesson 72: Converting Standard & Scientific Notation
- Lesson 73: Multiplying in Scientific Notation
- Lesson 74: Dividing in Scientific Notation
- Lesson 75: Multiplying & Dividing Combined
- Lesson 76: Estimating with Scientific Notation
- Lesson 77: Scientific Notation in Real World
- Unit 9: Variables & Expressions
- Unit 10: Equations & Inequalities
- Unit 11: Order of Operations
- Unit 12: Coordinate Plane & Patterns
- Unit 13: Word Problems & Problem Solving
- Unit 14: Basic Geometry
- Lesson 104: Perimeter & Area Formulas
- Lesson 105: Volume Formulas
- Lesson 106: Using Variables in Geometry Formulas
- Lesson 107: Introduction to Coordinate Geometry
- Lesson 108: Geometry Word Problems
- Lesson 109: Introduction to Angles
- Lesson 110: Triangles & Intro to Pythagorean Theorem
- Lesson 111: Perimeter & Area with Fractions & Decimals
- Lesson 112: SOHCAHTOA