Algebra I Part 2 introduces students to rational numbers, systems of equations and inequalities, exponential functions, factoring, and quadratic equations and functions. This course provides a solid foundation for further study in mathematics by helping students develop computational, procedural, and problem solving skills. Algebra I Part 2 emphasizes the use of technology, problem solving, critical thinking, and reasoning.
It is recommended that students successfully complete Algebra I Part 1 or equivalent course work before enrolling in this course.
Unit 1: Essential Content and Skills
- Find slopes from tables, graphs, and when given two points.
- Write linear equations in slope-intercept form, standard form, and point-slope form.
- Chart linear equations using slope-intercept form, intercepts, and point-slope form.
- Determine whether lines are parallel, perpendicular, or neither.
- Translate the graph of an absolute value equation.
- Solve systems of equations by graphing and using substitution.
Unit 2: Essential Content and Skills
- Solve systems of equations using elimination.
- Chart linear inequalities.
- Calculate systems of linear inequalities.
- Evaluate and simplify exponential expressions including zero and negative exponents.
- Write numbers in scientific notation and standard notation.
- Solve powers.
- Chart and model exponential functions including exponential growth and decay.
Unit 3: Essential Content and Skills
- Solve polynomials.
- Calculate monomials and polynomials.
- Determine binomials using the FOIL method.
- Calculate trinomials and binomials.
- Find the square of a binomial and the difference of squares.
- Solve trinomials, including ones in the form of ax2 + bx + c and perfect square trinomials.
- Determine the difference of squares, factor polynomials with four terms, and factor by grouping.
- Examine and use the quadratic formula when solving quadratic equations.
Unit 4: Essential Content and Skills
- Break down radicals and solve radical equations.
- Solve trigonometric ratios including finding angles of elevation and angles of depression.
- Analyze rational expressions.
- Interpret rational expressions with like and unlike denominators.
- Solve rational equations.
- Find permutations and combinations.
- Prentice Hall Algebra 1 (textbook)
*Available as an iText course