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Common Core Standards - Pre-Algebra

  • The Number System
    • Know that there are numbers that are not rational, and approximate them by rational numbers.
  • Expressions and Equations
    • Work with radicals and integer exponents.
    • Understand the connections between proportional relationships, lines, and linear equations.
    • Analyze and solve linear equations and pairs of simultaneous linear equations.
  • Functions
    • Define, evaluate, and compare functions.
    • Use functions to model relationships between quantities.
  • Geometry
    • Understand congruence and similarity using physical models, transparencies, or geometry software.
    • Understand and apply the Pythagorean Theorem.
    • Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
  • Statistics and Probability
    • Investigate patterns of association in bivariate data.
  • Mathematical Practices
    1. Make sense of problems and persevere in solving them.
    2. Reason abstractly and quantitatively.
    3. Construct viable arguments and critique the reasoning of others.
    4. Model with mathematics.
    5. Use appropriate tools strategically.
    6. Attend to precision.
    7. Look for and make use of structure.
    8. Look for and express regularity in repeated reasoning.

Labs:
    •    Reading and Writing Labs are activities that provide the students ways to learn
          and use the language of Algebra and to use critical thinking skills to develop answers.

    •    Algebra Activity Labs are activities which present algebraic concepts by using
         manipulative or hands-on materials.

The following is a list of core content based on the standards.

Number Sense
    September:   Language of Algebra
                         Order of Operations
                         Arithmetic and Geometric
                         Patterns
                         Properties

    October:        Integers
                         One-two step equations
                         Properties of equalities

    November:    Rational numbers
                         Powers: Negative
                         Factoring

    December:    Ratio/Rates/Proportions
                        Percent/Fraction/Decimal

    January:       Properties of equalities
                       
    February:      Linear inequalities
   
    March:          Quadratic Functions

    May:             Formula Work

Algebraic Sense
    September:    Variables and Expressions

    October:         Absolute Value
                          Simplify Expressions
                          Distributive property

    November:      Monomials
                           Scientific Notation
    
    January:          Properties of Equalities

    February:         Linear Inequalities

    March:             Quadratic Functions

    May:                Formula work


Geometric Sense
    September:   Coordinate Plane
   
    October:        Perimeter/Area
                         Scientific Notation

    December:     Scale Drawings/Models

    January:         Graphing inequalities

    February:        Functions/graphing
                          System of equations

    March:            Angles/Triangles
                          Pythagorean Theorem

    April:               Line Angle relationship
                           Transformations

    May:               Surface Area/Volume

Data Analysis/Probability
    September:     Patterns
                           Scatter Plots

    December:      Measures of Central
                           Tendency
                           Probability & Predictions
                           Theoretical vs    
                                    Experimental

Measurement
    October:           Absolute Value
   
    March:              Angles
                            Distance/Midpoint
                            Indirect measurement



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