CURRICULUM MAP: 10092.map

Algebra II (ACP) 481

TIME FRAME:
GRADE: 11
CONTACT:

         MAP LEVEL:
25.1 MATHEMATICS - ALG REASONING: PATTERNS & FUNCTS

25.1.1.9.1 -- Students will identify, describe, create and generalize numeric, geometric, and statistical patterns with tables, graphs, words, and symbolic rules.

25.1.1.9.4 -- Students will describe and compare properties and classes of linear, quadratic, and exponential functions.

25.1.1.9.5 -- Students will describe and compare properties and classes of functions including exponential, polynomial, rational, logarithmic and trigonometric.

25.1.1.9.6 -- Students will analyze essential relations in a problem to determine possible functions that could model the situation.

25.1.1.9.7 -- Students will explore conic sections and their applications graphically and symbolically.

25.1.1.9.9 -- Students will solve problems involving direct and inverse variation.

25.1 MATHEMATICS - ALG REASONING: PATTERNS & FUNCTS

25.1.1.9.10 -- Students will understand and use optimization strategies including linear programming.

25.1.2.9.2 -- Students will identify an appropriate symbolic representation for a function or relation displayed graphically or verbally.

25.1.2.9.3 -- Students will recognize and explain the meaning of the slope and x- and y-intercepts as they relate to a context, graph, table or equation.

25.1.2.9.5 -- Students will relate the graphical representation of a function to its function family and find equations, intercepts, maximum or minimum values, asymptotes and line of symmetry for that function.

25.1.3.9.1 -- Students will model and solve problems with linear, quadratic, and absolute value equations; and linear inequalities.

25.1.3.9.3 -- Students will solve systems of two linear equations using algebraic or graphical methods.

25.1 MATHEMATICS - ALG REASONING: PATTERNS & FUNCTS

25.1.3.9.6 -- Students will use logarithms, vectors and matrices to solve problems.

25.2 MATHEMATICS - NUMERICAL & PROP REASONING

25.2.1.9.2 -- Students will select and use an appropriate form of number (integer, fraction, decimal, ratio, percent, exponential, scientific notation, irrational) to solve practical problems involving order, magnitude, measures, labels, locations and scales.

25.2.1.9.3 -- Students will use technological tools such as spreadsheets, probes, computer algebra systems and graphing utilities to organize and analyze large amounts of numerical information.

25.2.1.9.4 -- Students will compare and contrast the properties of numbers and number systems including rational, real and complex numbers.

25.2.1.9.6 -- Students will justify mathematical procedures and determine how they apply to invented operations using field properties (closure, associative, commutative, distributive, identity, and inverse).

25.2.1.9.7 -- Students will judge the effects of computations with powers and roots on the magnitude of results.

05.0 MATHEMATICS

05.0.9.9.5 -- Students will develop, explain, use and analyze procedures for operating on algebraic expressions and matrices



1. What can students do to refresh memories about content from Algebra 1?

2. How can students increase skills with families of functions (i.e. linear, quadratic, rational, logarithmic, exponential, and irrational)?

3. How can students demonstrate increased skill in problem solving with applications using these families of functions?

4. What are the properties of operations on real numbers, complex numbers, and imaginary numbers?



Review of Advanced Algebra I Essential Standards
Relations and Functions
Linear Functions
Rational Algebraic Functions
Systems of Linear Equations
Quadratic Functions and Complex Numbers
Exponential and Logarithmic Functions
Irrational Algebraic Functions
Quadratic Relations and Systems




Students will be able to:
1. Perform operations on polynomials with and without factoring
2. Solve and graph linear equations and inequalities using point-slope form, slope-intercept form, and standard form
3. Problem solve with linear equations using parallel and perpendicular lines
4. Solve systems of linear equations and inequalities (two equations, two variables; three equations, three variables) by linear combinations, determinants, and matrices (all methods with and without a graphing calculator)
5. Use set-functional terminology in communication
6. Solve equations using linear programming
7. Solve and graph quadratic equations and inequalities using completing the square and the quadratic formula
8. Identify the vertex, intercepts, axis of symmetry, symmetric points, and maximum/minimum points
9. Complete all operations with complex numbers including graphing 1d
10. Problem solve with quadratics using modeling
11. Simplify exponential functions, including properties of exponents, rational exponents, positive, and negative exponents
12. Use/apply basic rules of logarithms
13. Convert logarithmic functions having different bases using special properties of logarithms
14. Solve exponential functions using logarithms
15. Use logarithms to convert to/from scientific form
16. Complete all operations with rational algebraic expressions (in depth)
17. Factor polynomials using all topics from Advanced Algebra I plus:
a. discriminant test for prime quadratics
b. sum and difference of perfect cubes
c. completing the square
18. Use synthetic substitution to simplify polynomial functions
19. Factor higher degree polynomials using the factor theorem and rational root theorem
20. Convert to/from radical form and exponential form
21. Simplify to "simplest radical form" including rationalizing the denominator
22. Solve radical equations and check for extraneous roots
23. Manipulate and graph equations for circles, ellipses, and hyperbolas
24. Write equations of conic sections in standard form.




Students will:
1. Frequent practice of CAPT, or CAPT-like, questions.
2. Usage of the graphing calculator.



Students will be assessed by:

1. Daily homework assignments, which will acount for 10% of their final grade

2. Quizzes, 50-60% computational, 40-50% application; covering 2-5 sections of material

3. Tests, 50-60% computational, 40-50% application; covering 5-9 sections of material

4. Projects are optional for each teacher

5. Final exam, covering an entire semester's material, which will account for 20% of their final grade



1. CBR activities

2. Combinations/Permutations



1. Textbook - Prentice Hall: Algebra and Trigonometry

2. Text supplemental materials

3. Graphing Calculators

4. Projector for graphing calculators