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. |
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| 1.4 Students will be able to translate verbal expressions and sentences into algebraic expressions and equations and solve them. |
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| 1.5 Students will be able to solve formulas for a specific variable. |
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| 1.6 Students will be able to solve equations in one variable including those involving absolute value. |
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| 1.7 Students will be able to solve simple and compound inequalities, including those involving absolute value, and graph the solution sets. |
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| 1.8 Students will be able to graph a relation, state its domain and range and determine if it is a function. |
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| 1.9 Students will be able to write an equation of a line using slope and/or points. |
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| 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. |
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| 2.3 Students will be able to solve problems involving maximum and minimum values by using linear programming. |
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| 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. |
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| 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 |