Algebra II Learning targets chapter 1 equations and inequalities

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Algebra II
Learning targets chapter 1 equations and inequalities
Students will be able to:
1. Evaluate expressions using order of operations and
properties.
2. Solve equations.
3. Solve absolute value equations.
4. Solve and graph inequalities.
5. Solve and graph(on a number line) compound
inequalities.
6. Solve and graph(on a number line) absolute value
inequalities.
Learning targets chapter 2 linear relations and functions
Part 1
Students will be able to:
1. Identify and analyze linear relations and functions
(find domain and range, ect…) (identify linear
function)
2. Evaluate functions
3. Graph using standard form and find intercepts.
4. Find and analysis rate of change/slope of a line.
5. Write an equation of a line parallel or perpendicular
to a line.
Learning Targets Chapter 2 Graphing Functions,
transformations and Inequalities
Part 2
1. I can model and analysis data using linear regression.
2. I can write and graph piece-wise defined functions.
3. I can write and graph piecewise-linear functions(step
and absolute value functions).
4. I can use parent functions to describe
transformations of functions.
5. I can write and graph linear inequalities.
6. I can graph absolute value inequalities
Learning Targets Chapter 3 System of equations and
inequalities
1. I can solve a system of linear equations graphically.
2. I can solve a system of linear equations algebraically.
3. I can solve system of inequalities by graphing.
4. I can find the coordinates of the vertices of a system
of inequalities.
5. I can find the minimum and maximum values of a
function over a region.
6. I can solve real world optimization problems using
linear programming.
7. I can solve systems of linear equations in three
variables.
8. I can solve read world problems using systems of
linear equations in three variables.
Learning Targets Chapter 4 Quadratic Functions and
relations.
1. I can graph and interpret the graph of quadratic
functions (max and min, y-intercept, axis of
symmetry, coordinates of vertex)
2. I can solve a quadratic equation by graphing
3. I can solve a quadratic equation by graphing with
technology. (not assessed learning target at this time)
I can solve a quadratic by most efficient method:
4. I can solve a quadratic by factoring.
5. I can solve a quadratic by completing the square.
6. I can solve a quadratic by using the Quadratic
Formula.
7. I can perform operations with pure imaginary
numbers and complex numbers.
8. I can solve quadratics involving pure imaginary
numbers and complex numbers.
9. I can use the discriminant to determine the number
and type of roots of a quadratic equation(not
assessed learning target)
10.
I can write quadratic functions in vertex form.
11.
I can transform graphs of quadratic functions.
12.
I can graph and solve quadratic inequalities.
Learning targets Chapter 5 Polynomial and polynomial
functions.
1. I can simplify monomials and expressions involving exponents.
2. I can add and subtract polynomials.
3. I can multiply polynomials.
4. I can divide polynomials using long division/synthetic division.
5. I can evaluate polynomial functions.
6. I can analyze, graph, and find zeros of a polynomial function (identify
general shapes and end behavior, find relative maxima and minima, and
find zeros)
Take assessment one on first 6 learning targets.
7.
8.
I can solve polynomial equations by factoring.
I can determine whether a binomial is a factor of a polynomial using
synthetic substitution (remainder and factor theorem) .
9. I can determine the number and type of roots for a polynomial
equation (Fundamental Theorem, Descartes rule of signs and
rational zero theorem).
10.
I can find all the zeros of a polynomial function.
Learning Targets Chapter 6 Inverse and radical functions
1. I can perform operations on functions and find special
restrictions, and identify the domain and range of a function.
2. I can find the inverse of a relation and function, determine
whether two functions are inverses, and graph the function and
the inverse.
3. I can graph and analyze square root functions and inequalities.
4. I can simplify radical expressions.
5. I can perform operations involving radical expressions.
6. I can write expressions with rational exponents in radical form
and vice versa. Include evaluating rational exponents and
simplifying common squares, cubes, 4th, ect (64 - 8^2, 4^3, or
2^6).
7. I can simplify expressions in exponential or radical form.
8. I can solve equations containing radicals.
9. I can solve inequalities containing radicals.
Chapter 7 Exponential and Logarithmic Functions and relations
1.
2.
3.
4.
5.
6.
I can graph exponential growth and decay functions.
I can solve exponential equations and inequalities
I can evaluate logarithmic expressions.
I can graph logarithmic functions.
I can solve logarithmic equations and inequalities.
7. I can evaluate and solve logarithmic equations using
logarithmic properties.
8. I can solve exponential equations and inequalities using
common logarithms.
9. I can evaluate logarithmic expressions using the change of
base formula.
10.
Evaluate and solve exponential equations and
inequalities using natural log.
Chapter 8 Rational Functions and Relations
1. I can simplify rational expressions (simple and complex).
2. I can multiply and divide rational expressions.
3. I can add and subtract rational expressions (find LCM of
polynomials) .
4. I can graph rational functions with asymptotes.
5. I can solve rational equations.
6. I can solve rational inequalities.
Chapter 10 Sequences and Series
1.
2.
3.
4.
5.
6.
7.
I can find specific terms of arithmetic sequences.
I can find specific terms of geometric sequences.
I can find arithmetic means.
I can find geometric means.
I can find the sum of arithmetic series.
I can find the sum of geometric series.
I can interpret sigma notation to calculate sums.
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