Integrated Math 3 Part 1

LEARNING OBJECTIVES

TOPICS COVERED

1. Solve multistep linear equations involving distribution, fractions, and decimals
2. Analyze patterns and learn to recognize an arithmetic sequence, then learn to find the sum of a finite number of terms
3. Solve and graph multiple-step inequalities in one variable
4. Solve and graph compound inequalities in one variable
5. Solve and graph absolute value equations and inequalities in one variable
6. Recognize functions based on a set of data, graphs, and descriptions
7. Calculate slope, identify slope given points and lines, identify the slope of the graphed line
8. Identify characteristics of parallel and perpendicular lines and write the equations of lines that are parallel and perpendicular to a given line
9. Apply the characteristics of parallel and perpendicular lines on the coordinate plane to polygons
10. Model real-world problems with linear equations
11. Identify lines that have a single solution, graph systems of equations to determine a solution, and recognize characteristics of pairs of lines that result in consistent and inconsistent equations
12. Solve systems of equations by substitution and elimination method
13. Solve systems of inequalities by graphing
14. Write pairs of equations to model real-world problems and model equations with three variables
15. Solve systems of three equations and three variables
16. The various forms of a quadratic equation and how to solve a quadratic equation by factoring
17. How to use the process of completing the square to write a quadratic function in the vertex form
18. Solve un-factorable quadratic equations by using the quadratic formula
19. How to find the square root of a negative number and other properties of imaginary numbers
20. Analyze a quadratic function such as identifying the domain, range, maximum and minimum points
21. How to graph piecewise functions that include linear and quadratic functions
22. Identify polynomials and add and subtract polynomials
23. Multiply a monomial by a polynomial (distribute) and learn multiple polynomials with a varying number of terms
24. Use long division to divide polynomials that can not be factored
25. Use synthetic division to determine remainders and apply this to evaluating polynomials
26. Use the Remainder and Factor theorem to decompose a polynomial into the product of binomials
27. Apply the conjugate and real root theorem to identify the factors of polynomials as well as write the equation of polynomials given roots
28. Apply the Fundamental Theorem of Algebra to determine the number of roots of a polynomial, the roots and write a polynomial given roots
29. Simply exponents, solve equations with exponents, simplify with rational exponents, and raise an exponent to a power
30. Divide with exponents and simplify negative exponents
31. Simplify radicals, rationalize denominators, and compute with radicals
32. Solve radical equations with one and two radicals
33. Graph radical functions and transform from a parent function
34. Simplify, add and subtract rational expressions
35. Multiply and divide rational expressions
36. Solve rational equations
37. Analyze rational equations including asymptotes, end behavior, and zeros