Course: Pre-­Algebra

Curriculum

1. 18 lessons Integers and Algebraic Expressions (Unit 1)
    
   • Lessons
   • Opposites and Absolute Values (Day 1)
      
   • Number Line to Add Integers (Day 2)
      
   • Rules to Add Integers (Day 3)
      
   • Rules to Subtract Integers (Day 4)
      
   • Multiply and Divide Integers Using Rules (Day 5)
      
   • Evaluate Exponents; Rewrite Using Exponents (Day 6)
      
   • Order of Operations with Integers and Exponents (Day 7)
      
   • Identify Types and Parts of Expressions (Day 8)
      
   • Evaluate Expressions using Substitution (Day 9)
      
   • Distributive Property (Day 10)
      
   • Combining Like Terms (Day 11)
      
   • Distribute and Combine Like Terms (Day 12)
      
   • Write Variable Expressions for Addition or Subtraction Word Phrases (Day 13)
      
   • Write Variable Expressions for Multiplication and Division Word Phrases (Day 14)
      
   • Two Part Variable Expressions (Day 15)
      
   • Review Day (Day 16)
      
   • Unit Test, Quizzes, Exit Tickets
      
   • Beginning of Year Papers
      
2. 10 lessons Writing and Solving One-Step Equations (Unit 2)
    
   • Lessons
   • Define Equations, Check Equations Using Substitution (Day 1)
      
   • Identify Properties of Addition and Multiplicaiton (Day 2)
      
   • Solve One-Step Integer Equations using Addition and Subtraction (Day 3)
      
   • Solve One-Step Integer Equations using Multiplication and Division (Day 4)
      
   • Solve One-Step Decimal Equations using Inverse Operations (Day 5)
      
   • Solve One-Step Fraction Equations using Inverse Operations (Day 6)
      
   • Write and Solve Equations for Word Phrases (Day 7)
      
   • Divide Decimals (Day 8)
      
   • Volume and Stacking Problems - IA Review (Day 9)
      
   • Test, Quizzes, Exit Tickets
      
3. 13 lessons Factors, Estimation, Measurement (Unit 3)
    
   • Lessons
   • Divisibility Rules for 2, 3, 4, 5, 6, 9, 10 (Day 1)
      
   • Prime Factorization (Day 2)
      
   • Scientific Notation (Negative Exponents) (Day 3)
      
   • Multiply and Divide by Powers of Ten

     Multiply by 0.1, 0.01, and 0.001
     Divide by 10, 100 and 1000
     
     With the advanced class we divided by 0.1, 0.01, 0.001 as well....

      
   • Estimate Sums and Differences (Day 5)
      
   • Mental Math (Day 6)
      
   • Tests, Quizzes, Exit Tickets
      
   • Estimate Products and Quotients (Day 7)
      
   • 2-Step Estimations (Day 8)
      
   • Mean, Median, and Mode (Day 9)
      
   • Metric System (Day 10)
      
   • Graphing Positive and Negative Fractions and Decimals on a Number Line (Day 11)
      
   • Review Day (Day 12)
      
4. 17 lessons Fractions, Percents, Proportional Reasoning (Unit 4)
    
   • Lessons
   • Simplifying Fractions, Equivalent Fractions, Fraction-Decimal Review (Day 1)
      
   • Solving Equations by Adding or Subtracting Fractions (Day 2)
      
   • Multiplying Fractions, Whole Numbers, Mixed Numbers (Day 3)
      
   • Dividing Fractions, Whole Numbers, and Mixed Numbers (Day 4)
      
   • Using Proportions to Solve Problems Involving Ratios (Day 5)
      
   • Using Proportions to Solve Problems Involving Rates (Day 6)
      
   • Using Proportions to Solve Problems Involving Unit Rates (Day 7)
      
   • Using Proportions to Solve Problems Involving Similar Figures (Day 8)
      
   • Percents Less than 10 and Greater than 100 (Day 9)
      
   • Use Proportions to find Percent, Whole, and Part (Day 10)
      
   • Customary Unit Conversions (Day 11)
      
   • Mental Percent (Day 12)
      
   • Percent Increase/Decrease (Day 13)
      
   • Tax, Tip, Simple Interest, Discounts, and Commission (Day 14)
      
   • Multi-Step Proportion Problems (Day 15)
      
   • Multi-Step Problems and Unit Test Review (Day 16)
      
   • Tests and Quizzes
      
5. 18 lessons Multi-Step Equations and Probability (Unit 5)
    
   • Lessons
   • Tests, Quizzes, Etc.
      
   • Solving Simple 2-Step Equations (Day 1)
      
   • Solving "Tricky" 2-Step Equations (Day 2)
      
   • Writing Equations and Expressions for Word Problems (Day 3)
      
   • Solving Multi-Step Problems Involving Fractions and Decimals (Days 4 and 5)
      
   • Solving Multi-Step Equations with Combining Like Terms (Day 6)
      
   • Solving Multi-Step Equations with Distributing (Day 7)
      
   • Solving Multi-Step Equations with Distributing and Combining Like Terms (Day 8)
      
   • Solving for Using Formulas to Solve for Unknowns (Day 9)
      
   • Translations (Day 10)
      
   • Reflections and Rotations (Day 11)
      
   • Simple Probability (Day 12)
      
   • Compound Probability (Day 13)
      
   • Probability Predictions (Day 14)
      
   • Permuations (Day 15)
      
   • Simple and Alternating Patterns (Day 16)
      
   • Changing Difference Patterns (Day 17)
      
   • Algebraic Patterns and Review (Day 18)
      
6. 28 lessons Geometry and Data Analysis (Unit 6)
    
   • Lessons
   • Tests and Quizzes
      
   • Geometry Review (Day 1)
      
   • Estimating Angles and Lengths (Day 2)
      
   • Estimating Area (and related problems) (Day 3)
      
   • Perimeter (with and without ruler) (Day 4)
      
   • Area of Shapes (Day 5)
      
   • Area of Shapes and Story Problems (Day 6)
      
   • Area of irregular figures (Day 7)
      
   • Volume (Day 8)
      
   • Nets and Orthographic Views for 3D Shapes (Day 9)
      
   • Volume vs. Area vs. Perimeter (Day 10)
      
   • Volume vs. Area vs. Perimeter - find dimensions (Day 11)
      
   • Venn Diagrams (Day 12)
      
   • Measuring Angles and Basic Pie Charts (Day 13)
      
   • Advanced Pie Charts (Day 14)
      
   • Interpreting Pie Charts (Day 15)
      
   • Interpreting Stem-and-Leaf Plots and Histograms (Day 16)
      
   • Drawing Conclusions from Bar and Line Graphs (Day 17)
      
   • Advanced Mean, Median, Mode, Range (Day 18)
      
   • Tree Diagrams to find the Number of Possible Outcomes (Day 19)
      
   • Determine if a Game is Fair or Unfair (Day 20)
      
   • Solve Logic Games and Puzzles (Day 21)
      
   • Write a Rule for Input-Output Tables (Day 22)
      
   • Solve Ratio Problems when Given Total Amount (Day 23)
      
   • Complementary and Supplementary Angles (Day 24)
      
   • Prove if Two Shapes are Similar (Day 25)
      
   • Estimate a Percent or Fraction of a Very Large Number (Day 26)
      
   • Permutations vs. Possible Outcomes - Review Day (Day 27)
      
7. 28 lessons Triangle Geometry (Unit 7)
    
   • Lessons
   • Quizzes and Tests
      
   • Find the square root of perfect squares; estimate square roots of non-perfect squares (Day 1)
      
   • Triangle Inequality Theorem; identify parts of a right triangle (Day 2)
      
   • Find hypotenuse using Pythagorean Theorem; Prove if a Triangle is a Right Trianlge (Day 3)
      
   • Find the Missing Leg of a Triangle Using the Pythagorean Theorem (Day 4)
      
   • Multi-Step Problems (Day 5 and 6)
      
   • Solve Pythagorean Theorem Word Problems (Day 7)
      
   • Find the Distance Between Two Points Using the Pythagorean Theorem (Day 8)
      
   • Find the Midpoint of a Line Segment (Day 9)
      
   • Distance Formula (Day 10)
      
   • Distance Formula with Negative Coordinates (Day 11)
      
   • Using the properties of 30-60-90 and 45-45-90 triangles (Day 12)
      
   • Triangle Angle Sum Theorem (Day 13)
      
   • Pythagorean Triples (Day 14)
      
   • Introduction to Trigonometric Ratios (Day 15)
      
   • Using Trigonometric Ratios to Find Missing Side (Day 16)
      
   • Determining What Trig Ratio to Use to Find Missing Side (Day 17)
      
   • Angles of Elevation and Depression (Day 18)
      
   • Solving Simple Equations with Variables on Both Sides (Day 19)
      
   • Find the Surface Area of a Rectangular Prism (Day 20)
      
   • Find the Surface Area of a Cylinder (Day 21)
      
   • Find the Surface Area of a Pyramid or Triangular Prism (Day 22)
      
   • Transform an Equation in One Step (Day 23)
      
   • Transform an Equation in Two Steps (Day 24)
      
   • Solve an equation with variables on both sides (Day 25)
      
   • Solve a multi-step equation (Day 26)
      
   • Equations with no solutions and infinite solutions (Day 27)
      
   • Solve an equation by distributing a negative number (Day 28)
      
8. 16 lessons Linear Equations (Unit 8)
    
   • Lessons
   • Quizzes and Tests
      
   • Function or Not a Function (Day 1)
      
   • Solutions for an equation with two variables (Day 2)
      
   • Input-Output Tables (Day 3)
      
   • Graph Linear Equations using Input-Output Tables (Day 4)
      
   • Find the Slope of a Line from Its Graph (Day 5)
      
   • Find the Slope of a Line from Two Points on the line; Graph equations with zero and infinite slopes (Day 6)
      
   • Anticipate slope-intercept form (Day 6.5)
      
   • y = mx + b (slope-intercept form) (Day 8)
      
   • Solve for slope-intercept form (Day 9)
      
   • Solve Systems of Equations Graphically (Day 10)
      
   • Solve System of Equations Word Problems (Day 11)
      
   • Graph Linear Inequalities (Day 12)
      
   • Graph Linear Inequalities (Day 13 - cont'd)
      
   • Sub Plan: Graph line given point and slope; check if point is a solution of system (Day 14)
      
   • Review Lesson (Day 15)
      
9. 5 lessons Polynomials (Unit 9)
    
   • Lessons
   • Classify Polynomials (Day 1)
      
   • Add and Subtract Polynomials (Day 2)
      
   • Multiply Monomials (Day 3)
      
   • Multiply Monomial by Polynomial (Day 4)
      
   • Divide Monomials (Day 5)
      
10. 0 lessons Dimensional Analysis (Unit 10)