Course Name: MTH099 Fall 2012 Prov Course Code: ADPNR-EADAW ALEKS Course: Beginning and Intermediate Algebra Combined Instructor: Lynd Course Dates: Begin: 08/23/2012 End: 01/20/2013 Course Content: 210 topics Dates Covered Objective 08/23/12-09/11/12 1. 1- Course Readiness 09/12/12-09/13/12 2. 2-Sets, Absolute Value 09/14/12-09/18/12 3. 3- Addition, Subtraction 09/19/12-09/20/12 4. 4- Mult, Division 09/21/12-09/25/12 5. 5- Fractions 09/26/12-09/27/12 6. 6- Fractions Continued 09/28/12-10/02/12 7. 7- Exp, Order of Oper 10/03/12-10/04/12 8. 8- Geometry Review 10/05/12-10/09/12 9. 9- Algebraic Expressions 10/10/12-10/11/12 10. 10- Basic Exp Rules 10/12/12-10/16/12 11. 11- Negative Exponents 10/17/12-10/18/12 12. 12-Exponents Cont. 10/19/12-10/23/12 13. 13- Roots, Rational Exp. 10/19/12-10/23/12 14. 14- Linear Equations 1 10/24/12-10/25/12 15. 15- Linear Equations 2 10/26/12-10/30/12 16. 16- Linear Eq Application 10/31/12-11/01/12 17. 17- Percent Word Problems 11/02/12-11/07/12 18. 18- Linear Inequalities 11/08/12-11/09/12 19. 19- Coordinate Plane 11/10/12-11/13/12 20. 20-Slope, y-intercept 11/14/12-11/15/12 21. 21- Equation of a Line 11/16/12-11/20/12 22. 22- Functions 11/21/12-11/22/12 23. 23- Polynomials 11/23/12-11/29/12 24. 24- Factoring Polynomials Copyright 2012 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 1/6
1- Course Readiness (13 topics, due on 09/11/12) Decimal place value Rounding decimals Multiplication of a decimal by a power of ten Multiplication of a decimal by a whole number Decimal multiplication: Problem type 1 Division of a decimal by a power of ten Division of a decimal by a whole number Decimal division Word problem with one decimal operation: Problem type 1 Word problem with one decimal operation: Problem type 2 Word problem using decimal addition and multiplication Word problem using decimal subtraction and division Converting between percentages and decimals 2-Sets, Absolute Value (8 topics, due on 09/13/12) Ordering integers Plotting integers on a number line Fractional position on a number line Plotting rational numbers on a number line Absolute value of a number Integers and rational numbers Rational and irrational numbers Writing a signed number for a real-world situation 3- Addition, Subtraction (8 topics, due on 09/18/12) Integer addition: Problem type 1 Integer addition: Problem type 2 Integer subtraction: Problem type 1 Integer subtraction: Problem type 2 Integer subtraction: Problem type 3 Signed decimal addition with three numbers Operations with absolute value Word problem with addition or subtraction of integers 4- Mult, Division (6 topics, due on 09/20/12) Integer multiplication and division Multiplication of 3 or 4 integers Mixed arithmetic operations with integers Exponents and integers: Problem type 1 Exponents and integers: Problem type 2 Exponents and order of operations 5- Fractions (9 topics, due on 09/25/12) Factors Prime numbers Prime factorization Least common multiple Equivalent fractions Simplifying a fraction Ordering fractions Addition or subtraction of fractions with the same denominator Addition or subtraction of fractions with different denominators 6- Fractions Continued (16 topics, due on 09/27/12) Product of a unit fraction and a whole number Product of a fraction and a whole number Introduction to fraction multiplication Copyright 2012 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 2/6
Fraction multiplication The reciprocal of a number Division involving a whole number and a fraction Fraction division Word problem with fractions Writing an improper fraction as a mixed number Writing a mixed number as an improper fraction Converting a percentage to a fraction Converting a fraction to a percentage Signed fraction addition: Basic Signed fraction addition: Advanced Signed fraction multiplication: Basic Signed fraction multiplication with three numbers 7- Exp, Order of Oper (6 topics, due on 10/02/12) Introduction to exponents Writing expressions using exponents Order of operations: Problem type 1 Order of operations: Problem type 2 Order of operations with whole numbers and exponents: Basic Mixed arithmetic operations with fractions 8- Geometry Review (14 topics, due on 10/04/12) Perimeter of a square or a rectangle Area of a square or a rectangle Area of a piecewise rectangular figure Area of a triangle Area of a parallelogram Area of a trapezoid Circumference and area of a circle Area involving rectangles and circles Area between two concentric circles Area involving inscribed figures Surface area of a cube or a rectangular prism Surface area of a cylinder Volume of a rectangular prism Volume of a cylinder 9- Algebraic Expressions (9 topics, due on 10/09/12) Evaluating a linear expression in two variables Evaluating a quadratic expression in one variable Distributive property: Whole number coefficients Distributive property: Integer coefficients Combining like terms: Integer coefficients Combining like terms: Advanced Combining like terms in a quadratic expression Writing a one-step variable expression for a real-world situation Translating a sentence into a two-step expression 10- Basic Exp Rules (10 topics, due on 10/11/12) Exponents and integers: Problem type 1 Exponents and integers: Problem type 2 Exponents and signed fractions Writing a simple algebraic expression without negative exponents Understanding the product rule of exponents Introduction to the product rule of exponents Understanding the power rule of exponents Introduction to the power rule of exponents Power rule with positive exponents Using the power and product rules to simplify expressions with positive exponents Copyright 2012 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 3/6
11- Negative Exponents (7 topics, due on 10/16/12) Evaluating expressions with exponents of zero Writing a positive number without a negative exponent Writing a negative number without a negative exponent Writing a simple algebraic expression without negative exponents Introduction to the quotient rule of exponents Quotients of expressions involving exponents Quotient rule with negative exponents: Problem type 1 12-Exponents Cont. (5 topics, due on 10/18/12) Ordering numbers with positive exponents Ordering numbers with negative exponents Power rule with negative exponents: Problem type 1 Power rule with negative exponents: Problem type 2 Using the power, product, and quotient rules to simplify expressions with negative exponents 13- Roots, Rational Exp. (8 topics, due on 10/23/12) Square root of a perfect square Square root of a rational perfect square Cube root of an integer Converting between radical form and exponent form Rational exponents: Basic Rational exponents: Negative exponents and fractional bases Rational exponents: Products and quotients Rational exponents: Powers of powers 14- Linear Equations 1 (14 topics, due on 10/23/12) Additive property of equality with whole numbers Additive property of equality with fractions and mixed numbers Additive property of equality with decimals Additive property of equality with integers Additive property of equality with a negative coefficient Multiplicative property of equality with whole numbers Multiplicative property of equality with fractions Multiplicative property of equality with decimals Multiplicative property of equality with integers Multiplicative property of equality with signed fractions Using two steps to solve an equation with whole numbers Solving a two-step equation with integers Using two steps to solve an equation with signed decimals Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution 15- Linear Equations 2 (6 topics, due on 10/25/12) Solving a two-step equation with signed fractions 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 Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators Solving equations with zero, one, or infinitely many solutions 16- Linear Eq Application (7 topics, due on 10/30/12) Solving an equation to find the value of an expression Translating a sentence into a one-step equation Solving a fraction word problem using a linear equation of the form Ax = B Solving a word problem with two unknowns using a linear equation Solving a decimal word problem using a linear equation of the form Ax + B = C Solving a fraction word problem using a linear equation with the variable on both sides Solving a word problem with three unknowns using a linear equation Copyright 2012 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 4/6
17- Percent Word Problems (6 topics, due on 11/01/12) Percentage of a whole number Applying the percent equation Finding the sale price given the original price and percent discount Finding the original price given the sale price and percent discount Solving a proportion of the form x/a = b/c Word problem on proportions: Problem type 1 18- Linear Inequalities (8 topics, due on 11/07/12) Solving a linear inequality: Problem type 1 Solving a linear inequality: Problem type 2 Solving a linear inequality: Problem type 3 Solving a linear inequality: Problem type 4 Solving a linear inequality: Problem type 5 Solving a compound linear inequality: Problem type 1 Solving a compound linear inequality: Problem type 2 Set builder and interval notation 19- Coordinate Plane (10 topics, due on 11/09/12) Reading a point in the coordinate plane Plotting a point in the coordinate plane Tables for linear functions Finding a solution to a linear equation in two variables Identifying solutions to linear equations in two variables Graphing a line given the x- and y-intercepts 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 20-Slope, y-intercept (6 topics, due on 11/13/12) Graphing a line through a given point with a given slope Y-intercept of a line Finding slope given the graph of a line on a grid Finding slope given two points on the line Finding the slope of a line given its equation Slopes of parallel and perpendicular lines: Problem type 1 21- Equation of a Line (8 topics, due on 11/15/12) Writing an equation of a line given the y-intercept and another point Writing the equation of a line given the slope and a point on the line Writing the equation of the line through two given points Writing the equations of vertical and horizontal lines through a given point Writing an equation and drawing its graph to model a real-world situation Application problem with a linear function: Problem type 1 Application problem with a linear function: Problem type 2 Slopes of parallel and perpendicular lines: Problem type 2 22- Functions (7 topics, due on 11/20/12) Evaluating functions: Problem type 1 Identifying functions from relations Vertical line test Domain and range from ordered pairs Finding inputs and outputs of a function from its graph Domain and range from the graph of a continuous function Domain and range from the graph of a piecewise function 23- Polynomials (12 topics, due on 11/22/12) Copyright 2012 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 5/6
Degree and leading coefficient of a polynomial in one variable Simplifying a sum or difference of two univariate polynomials Simplifying a sum or difference of three univariate polynomials Multiplying a monomial and a polynomial: Univariate with positive leading coefficients Multiplying a monomial and a polynomial: Multivariate Multiplying binomials with leading coefficients of 1 Multiplying conjugate binomials: Univariate Squaring a binomial: Univariate Multiplication involving binomials and trinomials in two variables Dividing a polynomial by a monomial: Univariate Polynomial long division: Problem type 1 Polynomial long division: Problem type 2 24- Factoring Polynomials (10 topics, due on 11/29/12) Greatest common factor Introduction to the GCF of two monomials Greatest common factor of two monomials Factoring out a monomial from a polynomial: Univariate Factoring a quadratic with leading coefficient 1 Factoring a quadratic with leading coefficient greater than 1 Factoring a product of a quadratic trinomial and a monomial Factoring a difference of squares Solving equations written in factored form Finding the roots of a quadratic equation with leading coefficient 1 Copyright 2012 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 6/6