Common Core Algebra 1

Content/Topics/Learning Goals

Subject to Pacing and Schedules

1st Quarter- 

• Solving 1 variable equations

  • Applications of 1 variable equations

• Ratios and Proportions

  • Solving applications using proportions

• Slope

  • Graphing a linear equation

  • Writing the equation of a line

  • Focus on slope-intercept form with some mention of standard form

  • Write equations given two points, a graph, a table of points, or a set of ordered pairs

• Applications of linear equations.  

• Write an equation as a function

• Evaluate functions using function notation

• Evaluate functions from a given graph

• Scatter Plots

  • Types of correlation 

• Line of best fit/prediction equations

  • By hand

  • Using linear regression on graphing calculator

• Correlation coefficient

  • Find using graphing calculators

  • Interpret different correlation coefficients

• Causation versus correlation

• Solve systems by graphing

  • When does a system have 1 solution, no solution, or infinitely many solutions

  • Use graphing calculators to find intersection points

• Solving systems by substitution

2nd Quarter- 

• Solving systems by elimination

  • Include basic applications

• Systems applications

  • Should include mixture problems, distance problems, and other more complex applications

• Solving Systems of inequalities

• Monomials

• Exponent Rules

• Polynomial operations

  • Adding/Subtracting

  • Distributing

    • Binomials * Trinomials

• Factoring

  • Prime Factorization

  • GCF

  • Factor by grouping

• Zero product property

• Factoring Trinomials

  • Difference of Two Squares

  • Solving by factoring

3rd Quarter- 

• More factoring

• Identifying Quadratics

  • Graphing quadratics using transformations.

  • Converting equations from standard form to vertex form.

• Continue to reinforce solving by factoring, now in the context of quadratics

• Solve by graphing

  • Converting equations from standard form to vertex form.

  • Estimating solutions without a calculator.

  • Finding approximate solutions with a calculator.

  • Discussing what type of graphs result in 1, 2, or no real solutions.

• Solve by square roots

  • Simplifying radicals

    • (square roots only)

• Solve by completing the square

  • Derive the quadratic formula

  • Use quadratic formula to solve quadratics

• Quadratic Formula

  • Review all methods of solving quadratics

• Quadratic Applications

  • Projectile Motion

  • Area

  • Locating extrema using a graphing calculator

4th Quarter -  

• Introduction to exponential functions

• Parts of an exponential function

• Shape of an exponential graph

• Exponential growth

• Exponential decay

• Using tables to find future values

  • There is no teaching of logarithms in this course

• Compound interest

  • Using different compound periods

  • The use of compounded continuously and the value of e are not required in this course.

• Exponentials test

• Graphing absolute value functions by transformations.

  • Focus on vertical stretches, reflections, and translations.

• Piecewise functions

  • Pieces should contain linear, absolute value, quadratic, and constant functions.

  • Emphasis on domain and range

  • Pieces should contain linear, absolute value, quadratic, and constant functions.

  • Emphasis on domain and range

  • Evaluating piecewise functions

• Statistics (when time permits)

• Measures of central tendency (when time permits)

  • Mean, median, mode

• Histograms (when time permits)

• Box Plots (Box and Whisker) (when time permits)

  • Include measures of spread: range and interquartile range