CURRICULUM MAP: 10105.map
Algebra II (SCP) 482
TIME FRAME:
GRADE: 11-12
CONTACT:
MAP LEVEL:
25.1 MATHEMATICS - ALG REASONING: PATTERNS & FUNCTS
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25.2 MATHEMATICS - NUMERICAL & PROP REASONING
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1. What can students do to refresh memories about content from Algebra 1?
2. What can students do to improve algebraic reasoning and the representation of patterns and functional relationships?
3. How can students increase skills with families of functions (i.e. linear & quadratic)?
4. How can students demonstrate increased skill in solving problems using algebraic methods?
Equations
Inequalities
Exponents Negative and Rational
Operations on Polynomials
Graphs and Linear Equations
Systems of Equations
Application Problems Involving Percent
Rational Expressions
Simplifying powers and Roots using Radicals
Absolute Value Equations and Inequalities
Quadratic Equations
Students will be able to:
1. Compute a sum, difference, product, or quotient of two of more signed numbers by applying the sign rules
2. Simplify a numerical expression by applying the order of operations
3. Solve multi-step complex equations by following the correct sequence of steps
4. Calculate sales tax, discount, sales price, and % increase and decrease
5. Identify a linear function in the form Ax + By = C
6. Determine if a ordered pairs a solution of a linear function by substituting into the linear function by converting to y=mx+b from and substituting an x value
7. Graph a linear function using y=mx+b form
8. Graph a linear inequality
9. Find slope and y-intercept of a line using y=mx+b form
10. Find the x-intercept or y-intercept of an equation by substituting 0 for the appropriate variable
11. Create an equation for a linear function using point-slope given a point and the slope
12. Create an equation for a linear function using point-slope given two points
13. Create an equation for a linear function using point-slope given the graph for the equation
14. Create the equation for a vertical or horizontal line given the graph of the equation or a description for the graph
15. Identify if two lines are parallel or perpendicular by comparing their slopes given the two equations
16. Find the solution of a system by graphing given the two linear equations
17. Find the solution of a system by elimination given the two linear equations
18. Find the solution of a system by substitution given the two linear equations
19. Identify like terms in a polynomial
20. Simplify a polynomial by combining like terms
21. Identify perfect squares
22. Factor the difference of squares
23. All operations on rational expressions
24. Simplify a radical by removing all possible square roots
25. Simplify a radical by rationalizing the denominator
26. Solve multi-step inequalities by following correct sequence of steps
27. Graph the solution set of an inequality
28. Solve disjunctions and conjunctions involving inequalities
29. Solve radical expressions ( +, -, x, รท )
30. Solve radical equations
31. Work with imaginary and complex numbers
32. Solve quadratic equations with completing the square and quadratic formula
33. Solve a system with two unknowns, three unknowns, and four unknowns
34. Solving absolute value equations and inequalities
Students will:
1. Practice CAPT or CAPT like questions
2. Interpret graphs
3. Interpret and solve word problems
4. Apply material learned in class to everyday life
Students will be assessed by:
1. Daily homework assignments, which will acount for 15-20% of their final grade (teacher discretion)
2. Unit tests that are comprised of 85% computation, 15% application
3. A final exam that covers an entire semester's material and will account for 20% of the student's final grade
CBR activities
1. Textbook - Addison-Wesley Algebra and Trigonometry
2. Text supplemental materials
3. Graphing Calculators
4. Projector for graphing calculators