Fairview High School
Inventing Quality Work For Students

Algebra I Freshman Academy
Essential Outcomes
Fairview High School

Algebra I Freshman Academy A

Number and Operations

• Perform basic operations with real numbers (addition, subtraction, multiplication, and division).

• Apply order of operations.

• Apply number theory concepts including divisibility, primes, factors, and multiples.

• Solve real-world problems using basic operations with real numbers.

• Use a variety of notations appropriately including square roots and exponents.

Solving Equations/Algebra

• Recognize, analyze, extend, and create a variety of patterns.

• Translate verbal sentences into algebraic expressions and vice versa.

• Simplify algebraic expressions using distributive property and like terms.

• Solve a variety of linear equations and inequalities (1-step, 2-step, multi-step, variables both sides).

Geometry

• Identify ordered pairs in the coordinate plane.

• Apply the Pythagorean Theorem given to legs of a right triangle.

• Calculate the distance between two points using the Pythagorean Theorem.

Measurement

• Calculate the area and perimeter of a rectangle.

• Calculate rates involving cost per unit to determine the best buy.

• Select area representations for area via the distributive property.

Data Analysis and Probability

• Interpret charts and graphs containing real-world data.

• Determine the mean, median, mode, and range of data.

Performance Skills

• Use time wisely in class.

• Complete work on time.

• Use planner regularly and properly.

Algebra I Freshmen Academy B

Number and Operations

• Select ratios and proportions to represent real-world problems.

• Apply the concept of slope to represent rate of change.

Graphing Linear Equations/Algebra

• Determine slope from a variety of data (two points, line, table of values).

• Apply concept of slope (rate of change) to solve real-world problems.

• Graph lines and inequalities from equations and real-world data.

• Recognize graphical transformations when coefficients and constants are changed.

• Determine domain and range of functions.

• Identify parallel and perpendicular lines and their characteristics.

Geometry

• Apply the Pythagorean Theorem given one leg and the hypotenuse.

Measurement

• Estimate the area of irregular figures on a grid.

• Calculate the area and circumference of a circle.

• Calculate the volume of a rectangular solid.

Performance Skills

• Use time wisely in class.

• Complete work on time.

• Use planner regularly and properly.

Algebra I Freshman Academy C

Number and Operations

• Use exponents to simplify a monomial written in expanded form.

• Multiply binomials.

Quadratics/Algebra

• Find the solution to a quadratic equation in standard form.

• Find the solution to a quadratic equation represented graphically.

• Factor quadratic equations (difference of squares).

• Find the discriminant of a quadratic equation.

• Solve absolute value equations and inequalities.

• Solve systems of equations (substitution, elimination, graphing).

Data Analysis and Probability

• Compute compound probabilities.

• Utilize counting techniques.

Gateway Preparations

• Prepare for success on Tennessee Algebra Gateway Exam.

Performance Skills

• Use time wisely in class.

• Complete work on time.

• Use planner regularly and properly.

2595 Fairview Blvd.
Fairview, TN 37062
Phone: 615-472-4400   Fax: 615-472-4421

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Williamson County Schools Mission:  "The mission of Williamson County Schools is to  cultivate the ability, intellect, and character of each student."

Williamson County Schools Vision: The Williamson County schools provide an engaging and academically enriching environment designed to support the collaborative educational efforts of teachers, students, staff, and community.