MA101 Intermediate Objectives (Units) and Essential Objectives (revised 8/8/12) These objectives must have problem statements and solutions in your notebook. 1. Integer Operations and Geometry Mixed arithmetic operations with integers Volume of a cylinder Operations with absolute value Exponents and integers: Problem type 1 Exponents and integers: Problem type 2 2. Fractions Signed fraction addition: Basic Exponents and order of operations Signed fraction multiplication: Advanced Distributive property: Integer coefficients Exponents and signed fractions 3. Linear Equations Solving a two-step equation with integers Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution. Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions 4. Linear Word Problems Solving a word problem with three unknowns using a linear equation Finding the sale price given the original price and percent discount Sides of polygons having the same perimeter Solving a decimal word problem using a linear equations with the variables on both sides Solving a fraction word problem using a linear equations with the variables on both sides 5. Inequalities Solving a linear inequality: Problem type 3 Solving a linear inequality: Problem type 4 Solving a compound linear inequality: Problem type 1 Word problem with linear inequalities: Problem type 1 Set builder and interval notation 6. Graphing Finding the slope given two points on the line Graphing a line given its equation in slope-intercept form Graphing a line given its equation in standard form Graphing a vertical or horizontal line Finding x- and y- intercepts of a line given the equation: Advanced 7. Exponents Product rule with positive exponents Power rule with negative exponents: Problem type 2 Multiplying monomials Using the power and product rules to simplify to simplify expressions with positive exponents Using the power and product rules to simplify to simplify expressions with negative exponents Multiplying and dividing numbers written in scientific notation 8. Polynomials Simplifying a sum or difference of three univariate polynomials Multiplying a monomial and a polynomial: Univariate with positive leading coefficients Squaring a binomial: Univariate Multiplying binomials in two variables Dividing a polynomial by a monomial: Univariate 9. Factoring Factoring a quadratic with leading coefficient 1 Factoring a quadratic with leading coefficient greater than 1 Factoring a difference of squares Factoring a multivariate polynomial by grouping: Problem type 1 Factoring a product of a quadratic trinomial and a monomial 10. Solving Quadratics with Factoring Finding the roots of a quadratic equation with leading coefficient 1 Finding the roots of a quadratic equation with leading coefficient greater than 1 Solving a quadratic equation needing simplification Solving a word problem using a quadratic equation with rational roots Quiz and exam dates: 1. Integer Operations and Geometry 6. Graphing 2. Fractions 7. Exponents 3. Linear Equations 8. Polynomials 4. Linear Word Problems 9. Factoring 5. Inequalities 10. Solving Quadratics with Factoring Midterm exam Final exam Notebook graded Notebook graded