## Algebra 1 Objectives

Topics to be integrated thoughout the year.

1. ISAT REVIEW (Basic skills and ISAT type questions)

2. Percents (6b6-6b7)

3. Problem solving using strategies

4. Math writing

5. Mental Math Skills

6. Check/determine that an answer or estimate is correct/reasonable (6.c.4)

7. Use of a graphing calculator

Introduction to Algebra

1. Simplify and evaluate expressions using the order of operations

2. Add, subtract, multiply, and divide three or more integers

3. Simplify expressions by combining like terms

4. Multiply and divide powers.

5. Add and subtract matrices

6. Apply the distributive property

7. Translate phrases into algebraic expressions

8. Solve real world story problems involving integers

Equations and Inequalities

1. Solve one and two-step equations involving rational numbers

2. Solve two-step inequalities involving rational numbers

3. Translate and solve one and two-step equations involving real world problems

4. Solve multi-step equations with variables on the same side.

5. Solve multi-step equations with variables on both sides

6. Solve multi-step equations involving the distributive property

7. Solve literal equations

Graphing Linear Equations

1. Graph linear equations in one variable

2. Graph linear equations in two variables using a table of values

3. Graph linear equations in two variables using intercepts

4. Find the slope of a line numerically and graphically

5. Graph linear equations in two variables using slope/intercept form

6. Graph linear equations using a graphing calculator

7. Solve and graph absolute value equations

Writing Linear Equations

1. Write the equation of a line given the slope and y-intercept

2. Write the equation of a line given the slope and a point

3. Write the equation of a line given two points

4. Convert between linear and standard form

5. Use a graphing calculator to graph linear equations

6. Use linear equations and their graphs to model real-life situations

Inequalities

1. Solve and graph inequalities in one variable

2. Solve and graph compound inequalities

3. Solve and graph absolute value inequalities

4. Solve and graph linear inequalities

5. Use inequalities and their graphs to model real-life situations

Systems

1. Solve a system of linear equations by graphing, substitution, using linear combinations, and graphing

2. Find the minimum and maximum values of an objective quantity subject to constraints

Powers and Exponents

1. Use the multiplication properties of exponents to evaluate powers

2. Use negative and zero exponents

3. Use division properties of exponents to evaluate powers

4. Use scientific notation to express large and small numbers

5. Use the compound interest formula and the exponential growth and decay formulas

6. Use models of exponential growth and decay to solve real-life problems

Quadratic Equations

1. Evaluate square roots

2. Use the Pythagorean Theorem

3. Solve quadratic equations by finding square roots and completing the square

4. Graph quadratic equations with and without a graphing calculator

5. Use the Quadratic Formula to solve quadratic equations

6. Graph quadratic inequalities

Polynomial and Factoring

1. Add and subtract polynomials

2. Multiply polynomials using the distributive property and the FOIL method

3. Factor polynomial expressions and equations

4. Factor polynomials by factoring out common factors, using the difference of two squares, and that are perfect square trinomials

5. Find the rational zero of a polynomial function

6. Factor quadratic trinomial

7. Use factoring to solve a quadratic equation

Rationals and Functions

1. Simplify rational expressions

2. Multiply and divide rational expressions

3. Solve rational equations using ratios and proportions

4. Identify relations and functions

5. Solve linear functions