Middle School Algebra
The Middle School Algebra course is designed for math profient students that are ready to take an advanced track of mathematics education, preparing them for high school.
Course topics include:
- Algebraic Expressions and Equations
- Proportions, Inequalities, and Absolute Values
- Introduction to Functions
- Linear Functions and Systems
- Exponential Properties and Functions
- Quadratic, Inverse, and Square Root Functions
- Statistical Analysis
Acellus Middle School Algebra is taught by Acellus Instructor Mark Rogers.
Sample Lesson – Algebraic Expression
This course was developed by the International Academy of Science.
Scope and Sequence
Unit 1 – Algebraic Expressions and Equations
This unit covers variables, expressions, algebraic language, classifying numbers, evaluating algebraic expressions, equations, input, output, and analyzing equations, patterns, and graphs. Also covered are solving one-step and multi-step equations with distributive property or with variables on both sides, solving special equations and solving literal equations and formulas.
Unit 2 – Proportions, Inequalities, and Absolute Values
In this unit, ratios, rates, and conversions are covered as well as solving proportions with maps, proportions, and similar figures. Also covered are percent change, graphing inequalities on a number line, solving positive and negative multi-step inequalities, special inequalities, compound inequalities, and absolute value equations and inequalities.
Unit 3 – Introduction to Functions
This unit covers mapping diagrams, distinguishing relations from functions, investigating patterns and linear or nonlinear functions, independent and dependent variables, graphing a function rule, function notation, writing a function rule, identifying arithmetic sequences as linear functions, rate of change and slope, direct variation, slope-intercept form, and special linear equations.
Unit 4 – Linear Functions and Systems
This unit discusses slope-intercept transformations, point-slope form, point-slope form alternative: y = mx + b inputs, finding X and Y intercepts with standard form, converting between standard and slope intercept form, and converting between slope intercept and standard form. It also explores parallel lines, perpendicular lines, solving systems by graphing, substitution, or elimination, applying linear systems in the real world, graphing linear inequalities in two variables, graphing systems of linear inequalities, applying systems of linear inequalities in the real world, and graphing positive and negative absolute value functions.
Unit 5 – Exponential Properties and Functions
This unit delves into concepts including zero and negative exponents, multiplication and division properties of exponents, conversion from exponential to radical form, exponential functions, growth, and decay, geometric sequences, adding and subtracting polynomials, multiplying monomials by polynomials, multiplying binomials, and multiplying binomials raised to powers.
Unit 6 – Factoring
This unit covers greatest common factor with coefficients, greatest common factor with variables and coefficients, trinomials, leading coefficient of one, prime leading coefficients, composite leading coefficients, and factoring perfect square trinomials, difference of squares binomials, and four-term polynomials.
Unit 7 – Quadratic, Inverse, and Square Root Functions
This unit discusses quadratics, leading coefficients, axes of symmetry, quadratic zeroes and Y-intercept, quadratic domain and range, quadratic vertices as minima and maxima, and quadratic vertex form vs. standard form. It also covers solving quadratic equations by graphing, by factoring, by square roots, by completing the square, and with the quadratic formula, as well as linear, quadratic, and exponential functions, systems of linear and quadratic equations, inverse functions, solving square root equations, and application of quadratic functions.
Unit 8 – Statistical Analysis
This unit includes, graphing square root functions, frequency and histograms, measures of central tendency and dispersion, standard deviation, box-and-whisker plots, scatter plots and correlation, correlation vs. causation, trend Lines in scatter plots, and interpolation vs. extrapolation.