Dallastown Area School District
Mathematics Curriculum Map – Level 2 Algebra 2
Skill/Objective
Section
2.2/ 2.3/ 2.4
2.8
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Identify slope from a graph and from two points on a line
Use slope-intercept form and standard form of an equation to graph a line
Identify x and y intercepts on a graph
Write the equation of horizontal and vertical lines
Write the equation of a line given the slope and y-intercept
Write the equation of a line given the slope and a point
Write the equation of a line given two points
Graph an absolute value function.
Write an absolute value function
Skill/Objective
Section
5.1/ 5.8
5.2
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Graph a quadratic function using standard form
Graph a quadratic function using vertex form
Graph a quadratic function using intercept form
Use a quadratic function to solve real life problems
Find the equation of a quadratic function given its graph
Find the equation of a quadratic function given characteristics about the graph
Factor quadratic expressions including difference of squares, trinomials, and multi-step
factoring
Note: Trinomials limited to the form
ax 2  bx  c, a  0
5.3
5.4
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Solve quadratic equations by factoring
Simplify square roots
Using properties of square roots
Solve quadratic equations using square roots
Simplify square roots in terms of I
Simplify expressions involving powers of i
Add and subtraction complex numbers
Multiply and divide complex numbers
Solve quadratic equations with complex solutions
1
Revised 6/16/10
Dallastown Area School District
Mathematics Curriculum Map – Level 2 Algebra 2
 Identify the values a, b and c from the standard form of a quadratic equation
 Solving quadratic equations using the Quadratic Formula
5.6
Skill/Objective
Section
6.1
 Use properties of exponents to simplify numerical and algebraic expressions
6.2
 Determine the end behavior of a polynomial function
 Evaluate a polynomial function using direct and synthetic substitution
6.3
 Add, Subtract, Multiply polynomials
6.4
 Factor polynomial expressions including sum/difference of cubes, factoring by grouping,
and multi-step factoring.
 Solve polynomial equations by factoring.
 Divide polynomials using long and synthetic division
6.5
Skill/Objective
Section
7.1
7.2
7.3
7.4
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Find the nth root of a integer
Evaluate expression with rational exponents
Solving equations using nth roots
Use properties of rational exponents to simplify expressions
Use properties of radicals to simplify expressions
Simplify radicals involving variables
Use operations to simplify radical expressions
To perform operations on functions
To find the composition of functions
 Find the inverse of a function algebraically and graphically
 Determine if a graph has an inverse function using the horizontal line test
2
Revised 6/16/10
Dallastown Area School District
Mathematics Curriculum Map – Level 2 Algebra 2
7.5
 Graph radical functions and their transformations
7.6
 Solve radical equations using powers
Skill/Objective
Section
8.1
 Graph exponential growth functions
 Use exponential growth functions to model real-life situations
8.2
 Graph exponential decay functions
 Use exponential decay functions to model real-life situations
8.3
 Use the number e as a base of exponential functions
8.4
 Evaluate logarithmic functions
8.5
 Use properties of logarithms to expand and condense logarithmic expressions
8.6
 Solve exponential and logarithmic equations.
Skill/Objective
Section
9.1
 Write and use direct, inverse, and joint variation models
9.2
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9.4
Find the vertical and horizontal asymptote of a rational function
Graph simple rational functions
Find the domain and range of a rational function from the graph.
Simplify, multiply, and divide rational expressions
State the domain of a rational expression
3
Revised 6/16/10
Dallastown Area School District
Mathematics Curriculum Map – Level 2 Algebra 2
9.5
 Add and subtract rational expressions
 Simplify complex fractions
9.6
 Solve rational equations
 Use rational equations to solve real-life problems
Skill/Objective
Section
12.1
 Use the Fundamental Counting Principle and/or Permutation to determine the number of
outcomes of an event
12.2
 Find combinations to determine the number of outcomes of an event
12.3
12.4
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12.5
 Find the probability of independent and dependent events
Find the probability of an event
Find probabilities involving permutation
Given the odds of an event, find the probability
Given the probability of an event, find the odds
Find the probability of a compound event
4
Revised 6/16/10