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# Intermediate Level Learning Targets

Learning Target #1: Develop proficiency in analyzing, graphing and solving linear equations and inequalities.

Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Thinking Levels Instructional Time F12.1,2,3,4 B12.3 C12.4 1.1 Students will be able to identify different types of relations and functions. 2 1.2 Students will be able to model real-world data using scatter plots and estimate a line of best fit. 3/4 1.3 Students will be able to graph inequalities on the coordinate plane. 2 1.4 Students will be able to translate verbal expressions and sentences into algebraic expressions and equations and solve them. 2/3 1.5 Students will be able to solve formulas for a specific variable. 3 1.6 Students will be able to solve equations in one variable including those involving absolute value. 3 1.7 Students will be able to solve simple and compound inequalities, including those involving absolute value, and graph the solution sets. 3 1.8 Students will be able to graph a relation, state its domain and range and determine if it is a function. 2 1.9 Students will be able to write an equation of a line using slope and/or points. 3 1.10 Students will be able to write the equation of a line that is parallel or perpendicular to the graph of a given equation. 3

Learning Target #2: Develop proficiency with matrices and linear systems of equations and inequalities.
Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Thinking Levels Instructional Time F12.1,2,3 2.1 Students will be able to perform operations with matrices. 2 2.2 Students will be able to solve systems of equations and inequalities using various methods including Cramer’s Rule. 3 2.3 Students will be able to solve problems involving maximum and minimum values by using linear programming. 3 2.4 Students will be able to evaluate the determinant of a 2X2 and 3X3 matrix and find the area of a triangle, given the coordinates of its vertices. 3/4 2.5 Students will be able to write the identity matrix for any square matrix and find the inverse of a 2X2 matrix. 3/4

Learning Target #3: Develop proficiency to simplify and/or factor polynomials and radical expressions.
Vocabulary: TO BE DONE SOON Synthetic Division

 Standards: Assessable Specifications: Thinking Levels Instructional Time F12.2,3 B12.2, 4 3.1 Students will be able to simplify expressions containing polynomials. 2 3.2 Students will be able to factor polynomials. 3 3.3 Students will be able to add, subtract, multiply and divide polynomials. 2 3.4 Students will be able to multiply and divide monomials and expressions written in scientific notation. 2 3.5 Students will be able to add, subtract, multiply, divide and simplify radical expressions and rationalize the denominator of a fraction containing a radical expression. 2 3.6 Students will be able to simplify square roots containing negative radicands, add, subtract and multiply complex numbers and simplify rational expressions containing complex numbers in the denominator. 3

Learning Target #4: Develop proficiency with radical and rational expressions, equations and inequalities.
Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Thinking Levels Instructional Time B.12.4 F.12.1,2, 4.1 Students will be able to simplify expressions containing rational exponents and radicals. 2 4.2 Students will be able to solve equations using radicals. 3 4.3 Students will be able to add, subtract, multiply and divide rational and radical expressions. 2 4.4 Students will be able to solve problems involving direct, inverse and joint variation 3 4.5 Students will be able to simplify rational expressions and complex fractions. 2/3 4.6 Students will be able find the least common denominator of two or more algebraic expressions. 2 4.7 Students will be able to solve rational equations and inequalities. 3

Learning Target #5: Develop proficiency with quadratic equations and inequalities.
Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Thinking Levels Instructional Time B.12.3,4 F12.3,2,4 5.1 Students will be able to write a quadratic equation given two roots in either standard or vertex form. 3 5.2 Students will be able to write the equation of a quadratic function given points on a graph. 3 5.3 Students will be able to solve quadratic inequalities graphically or algebraically. 3 5.4 Students will be able to identify quadratic, linear and a constant term in a function. 1 5.5 Students will be able to graph and solve a quadratic function finding the vertex and its axis of symmetry. 3 5.5 Students will be able to graph and solve a quadratic function finding the vertex and its axis of symmetry. 3 5.7 Students will be able to describe the nature of the roots (real, imaginary, rational, irrational) of the quadratic equation by finding the value of the descriminant. 4 5.8 Students will be able to solve quadratic equations that have complex solutions. 3 5.9 Students will be able to name the vertex, axis of symmetry, direction of the opening and graph of a quadratic equation if the equation is in the form y=a(x-h)+k. 2

Learning Target #6: Develop proficiency with coordinate geometry, parabolas and circles.
Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Thinking Levels Instructional Time C.12.1 D12.3 6.1 Students will be able use the midpoint and distance formulas to solve problems. 2 6.2 Students will be able to identify the equation of a parabola given its vertex, focus, directrix and/or line of symmetry, and find the vertex, focus, directrix and/or line of symmetry given its equation. 3 6.3 Students will be able to identify the equation of a circle given its center and radius and graph a circle given its equation. 3 6.4 Students will be able to graph and write an equation of a circle if the coordinate of the center and the length of the radius are given. 3 6.5 Students will be able to find the coordinates of the center and the length of the radius of a circle if the equation of the circle is given. 2

Learning Target #7: Develop proficiency with polynomial.
Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Thinking Levels Instructional Time F12.2,4 7.1 Students will be able to identify whether a polynomial function is odd or even based on its graph and/or equation. 2 7.2 Students will be able to identify zeros of a polynomial function by graphing or by use of the remainder and factor theorems. 2 7.3 Students will be able to identify and approximate zeros and relative maxima or minima given the graph of a polynomial function. 2 7.4 Students will be able to identify the number of positive, negative and complex zeros for polynomial functions. 2 7.5 Students will be able to use Descartes’ rule of signs, the rational root theorem and the quadratic equation techniques to solve for all zeros of appropriate polynomial functions. 3 7.6 Students will be able use synthetic division to evaluate a polynomial for any value x and to find its factors. 2 7.7 Students will be able to list all possible rational zeros of a polynomial function. 3 7.7 Students will be able to list all possible rational zeros of a polynomial function. 4

Learning Target #8: Develop proficiency with exponential and logarithmic functions and graphs.
Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Assessable Specifications: Instructional Time B12.2,3 F12.4 8.2 Students will be able to evaluate common and natural logarithms and their inverses. 3 8.2 Students will be able to evaluate common and natural logarithms and their inverses. 2 8.3 Students will be able evaluate logarithms using the change of base formula. 2 8.4 Students will be able express a logarithm as a sum or difference of simpler logarithmic expressions. 3 8.5 Students will be able to find the value of any missing variable (base, root or number) in a logarithm equation. 3 8.6 Students will be able to evaluate logarithmic expression, solve equation and real world problems using logarithms. 4 8.7 Students will be able to graph a relation, state its domain and range and determine if it is a function. 2 8.8 Students will be able to write use logarithms to solve real world problems (i.e. exponential growth and decay). 4

Learning Target #9: Develop proficiency with right and oblique triangle trigonometry and the trigonometric
identities.
Vocabulary: TO BE DONE SOON Oblique

 Standards: Assessable Specifications: Thinking Levels Thinking Levels C12.5,2 9.1 Students will be able to apply the trigonometric functions to solve problems involving right triangles. 4 9.2 Students will be able change between radian measures and degrees. 2 9.3 Students will be able to solve problems using the trigonometric identities. 4 9.4 Students will be able to solve triangles using the Law of Sines. 3 9.5 Students will be able to solve triangles using the Law of Cosines. 3 9.6 Students will be able define and use the trigonometric functions based on the unit circle. 3 9.7 Students will be able to write an equation of a line using slope and/or points. 2

Learning Target #10: Develop proficiency with permutations, combinations and probability.
Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Thinking Levels Instructional Time B12.1 E12.5 10.2 Students will be able to solve problems involving linear and circular permutations. 2 10.2 Students will be able to solve problems involving linear and circular permutations. 3 10.3 Students will be able to solve problems involving combinations. 3 10.4 Students will be able find the probability of an event and the odds of success and failure of an event. 3 10.5 Students will be able to find the probability of two or more independent or dependent events. 3 10.6 Students will be able find the probability of mutually exclusive or inclusive events. 4

Learning Target #11: Develop proficiency with arithmetic and geometric sequences and series.
Vocabulary: TO BE DONE SOON

 Standards: Assessable Specifications: Thinking Levels Thinking Levels F12.1 11.1 Students will be able to find the next term in a sequence by looking for a pattern. 2 11.2 Students will be able to find the nth term of an arithmetic and a geometric sequence and/or the position of a given term in either type of sequence. 2 11.3 Students will be able to find sums of arithmetic and geometric series. 2 11.4 Students will be able to expand powers of binomials by using Pascal’s Triangle and the Binomial Theorem and specific terms of binomial expansions. 3