Pre-Algebra Syllabus

  • Grade 7 Pre-Algebra Syllabus

    Unit 1 - Variables, Expressions, and Integers

    1.1 Expressions and Variable

    1.2 Powers and Exponents

    1.3 Order of Operations

    1.4 Comparing and Ordering Integers

    1.5 Adding Integers

    1.6 Subtracting Integers

            1.7 Multiplying and Dividing Integers

    Unit 2 - Solving Equations

              2.1 Properties and Operations

            2.2 The Distributive Property

            2.3 Simplifying Variable Expressions

    2.4 Variables and Equations

    2.5 Solving Equations Using Addition or Subtraction

    2.6 Solving Equations Using Multiplication or Division

    2.7 Decimal Operations and Equations with Decimals

     

    Unit 3 - Multi-Step Equations and Inequalities

             3.1 Solving Tow-Step Equations

            3.2 Solving Equations Having Like Terms and Parenthesis

            3.3 Solving Equations with Variables on Both Sides

    3.4 Solving Inequalities Using Addition or Subtraction

    3.5 Solving Inequalities Using Multiplication or Division

    3.6 Solving Multi-Step Inequalities

     

    Unit 5 - Rational Numbers and Equations

              5.1 Rational Numbers

    5.2 Adding and Subtracting Like Fractions

    5.3 Adding and Subtracting Unlike Fractions

    5.4 Multiplying Fractions

    5.5 Dividing Fractions

    5.6 Using Multiplicative Inverse to solve Equations

    5.7 Equations and Inequalities with Rational Numbers

     

     

    Unit 6 - Ratio, Proportion, and Probability

    6.1 Ratio and Rates

    6.2 Writing and Solving Proportions

    6.3 Solving Proportions using Cross Products

    6.4 Similar and Congruent Figures

    6.5 Similarity and Measurement

    6.6 Scale Drawings

     

    Unit 7 - Percents

    7.1 Percents and Fractions    

    7.2 Percents and Proportions

    7.3 Percents and Decimals

    7.5 Percent of Change

    7.6 Percent Application

    7.7 Simple Interest

     

    Unit 10 A - Measurement, Area, and Volume

    10.1 Triangles

    10.2 Polygons and Quadrilaterals

    10.3 Areas of Parallelograms and Trapezoids

    10.4 Circumference and Area of a Circle

     

    Unit 10 B - Measurement, Area, and Volume

              10.5 Surface Areas of Prisms and Cylinders

    10.6 Surface Areas of Pyramids and Cones

    10.7 Volumes of Prisms and Cylinders

    10.8 Volumes of Pyramids and Cones

     

    Unit 11 - Data Analysis

              11.1 Stem-and-Leaf Plots and Histograms

    11.2 Box-and-Whisker Plots

    11.3 Using Data Displays

    11.4 Collecting Data

    11.5 Interpreting Data

    10.6 (from Big Ideas Math Text) Samples and Populations

    10.7 (from Big Ideas Math Text) Comparing Populations

     

    Unit 12 - Angle Relationships

             12.1 Angle Relationships

            7.1 (from Big Ideas Math Text) Adjacent and Vertical Angles

    7.2 (from Big Ideas Math Text) Complementary and Supplementary Angles

    7.3 (from Big Ideas Math Text) Triangles

    7.4 (from Big Ideas Math Text) Quadrilaterals

    7.5 (from Big Ideas Math Text) Scale Drawings

     

    Unit 13 - Probability

              10.1 (from Big Ideas Math Text) Outcomes and Events

    10.2 (from Big Ideas Math Text) Probability

    10.3 (from Big Ideas Math Text) Experimental and Theoretical Probability

    10.4 (from Big Ideas Math Text) Compound Events

    10.5 (from Big Ideas Math Text) Independent and Dependent Events

     

    Unit 4 - Factors, Fractions, and Exponents

              4.1 Factors and Prime Factorization

    4.2 Greatest Common Factor

    4.3 Equivalent Fractions

    4.4 Least Common Multiple

    4.5 Rules of Exponents

    4.6 Negative and Zero Exponents

     

    Unit 8 - Linear Functions

    1.8 The Coordinate Plane

    8.1 Relations and Functions

    8.2 Linear Equations in Two Variables

    8.3 Using Intercepts

    8.4 The Slope of a Line

    8.5 Slope-Intercept Form

    8.6 Writing Linear Equations

    8.7 Function Notation

     

    Unit 9 - Real Numbers and Right Triangles

    9.1 Square Roots

    9.2 Simplifying Square Roots

    9.3 The Pythagorean Theorem

    9.4 Real Numbers

     

    Link to Big Ideas Math Text

    http://www.bigideasmath.com/students/?level=8.50