Math 2 Outcomes & Learning Targets
2014-2015
Module A: Functions
Outcome 1: I can interpret and solve problems involving variation functions.
a. I can create equations in one variable to describe inverse relationships. (A.CED.1)
b. I can interpret the components of a variation function. (A.SSE.1 & A.CED.1)
c. I can compare two variation and/or simple power functions given tables, graphs, and rules. (F.IF.9)
d. I can solve inverse variation equations using graphs, tables, or algebraic reasoning. (A.REI.2 &
A.CED.1)
e. I can use algebraic reasoning to solve for any variable in a formula with one term. (A.CED.4)
HP: I can find the new constant of proportionality given a rule of one function and the transformed
graph. (F.BF.3)
Outcome 2: I can analyze and interpret functions using different representations.
a. I can sketch a graph given a contextual description. (F.IF.4)
b. I can interpret key features of a graph (increasing/decreasing, maximum/minimum, x and y intercepts,
domain, discrete, discontinuous/continuous). (F.IF.4)
c. I can graph and show key features of simple power and inverse variation functions. (F.IF.4)
d. I can graph and show key features of square root, cube root and absolute value functions. (F.IF.7)
e. I can graph and show key features of piecewise-defined and step functions. (F.IF.7)
f. I can identify the effect of a transformation on a function. (F.BF.3)
g. I can find and justify the practical domain of a function. (F.IF.5)
HP: I can build a piecewise function given the separate functions or a contextual description. (SMP 2)
Module B: Geometry
Outcome 3: I can reason to solve problems involving polygons.
a. I can find a point on a line segment that partitions the segment to represent a given ratio. (G.GPE.6)
b. I can prove theorems about triangles. (G.CO.10 & 13)
c. I can create a simple deductive argument to prove triangles are congruent. (G.CO.8)
d. I can create a simple deductive argument to show that a pairs of angles or pairs of sides of congruent
triangles are congruent. (G.CO.7)
e. I can construct an equilateral triangle, square, or a regular hexagon inscribed in a circle. (G.CO.13) f.
HP: I can critique the reasoning of others in proving properties of triangles. (SMP 3)
Outcome 4: I can describe the location and transformations of shapes in the coordinate plane.
a. I can represent transformations with a graph given a rule. (G.CO.2)
b. I can describe a sequence of transformations that will carry a given figure onto another or on to itself.
(G.CO.5, G.CO.3)
c. I can verify that a transformation satisfies its definition in terms of angles and lines. (G.CO.4)
d. I can identify a 3-D object generated by rotating a 2-D object. (G.GMD.4)
e. I can identify the 2-D cross-section of a 3-D object (G.MD.4)
HP: I can represent transformations with a rule given a graph of an unfamiliar transformation. (G.CO.2)
Math 2 Outcomes & Learning Targets
2014-2015
Module C: Quadratic Functions
Outcome 5: I can use the structure of a quadratic to analyze quadratic functions.
a. I can use the structure of an expression to rewrite the expression in factored form, when possible.
(A.SSE.2)
b. I can identify the key features (y-intercept, zeroes, axis of symmetry, minimum/maximum, and
even/odd/neither) of a quadratic function. (A.APR.3, F.IF.8, F.BF.3)
c. I can factor a quadratic function and use the factored form to sketch a graph. (A.APR.3, F.IF.8)
HP: I can write a quadratic function given the key features of a graph. (F.BF)
Outcome 6: I can solve quadratic equations.
a. I can solve quadratic equations by inspection. (A.REI.4)
b. I can rewrite and solve quadratic equations using factored form. (A.SSE.2, A.REI.4)
c. I can use square roots to solve quadratic equations. (A.REI.4)
d. I can use the quadratic formula to solve quadratic equations. (A.REI.4)
HP: I can determine and justify if a quadratic equation has no real solutions. (A.REI.4)
Outcome 7: I can reason with algebraic expressions and functions.
a. I can write a function that describes the relationship between two quantities. (F.BF.1a)
b. I can write a recursive rule that describes the relationship between two quantities. (F.BF.1a)
c. I can add, subtract and multiply polynomials and justify that the result is also a polynomial. (A.APR.1)
d. I can build a function by combining two or more other functions to model a relationship between two
quantities. (F.BF.1b) e. I can use, evaluate and interpret statements that use function notation. (F.IF.2)
HP: I can describe a situation that relates two or more functions together to represent a given function.
(F.BF)
Module D: Probability
Outcome 8: I can determine independent and conditional probabilities
a. I can define a subset of a sample space for a given situation. (S.CP.1)
b. I can construct and interpret a two-way frequency table. (S.CP.4)
c. I can determine the probability of events including “and”, “or”, and “not”. (S.CP.1, S.CP.7, S.CP.8+)
d. I can determine the conditional probability of an event given another event has occurred. (S.CP.4,
S.CP.5, S.CP.6)
HP: I can use calculations with conditional probability to justify if two events are independent. (S.CP)
Outcome 9: I can use probabilities to interpret data.
a. I can evaluate and validate the results from experiments, studies, or surveys. (S.IC.2, S.IC.6)
b. I can reason to determine if two events are independent. (S.CP.2, S.CP.4, S.CP. 5)
c. I can explain conditional probability and independence in everyday language and everyday situations.
(S.CP.5)
HP: I can use calculations with the Multiplication Rule for Independent Events to justify if two events are
independent. (S.CP.2, S.CP.3)
Math 2 Outcomes & Learning Targets
2014-2015
Module E: Trigonometry
Outcome 10: I can reason and solve problems involving right triangles.
a. I can write the equation of a circle given the center and radius. (G.GPE.1)
b. I can define and use trigonometric ratios to solve problems (G.SRT.6, G.SRT.8, A.CED.2)
c. I can graph simple trigonometric functions (0° to 180°) and show key features (intervals of increase,
decrease, positive, or negative, and domain) (F.IF. 4, F.IF.5, F.IF.7, A.REI.10)
d. I can explain and use the relationship between sine and cosine of complementary angles to solve
problems. (G.SRT.7)
HP: I can apply trigonometric ratios to solve problems involving a variety of shapes (for example: area of
regular polygons, sectors of circle). (G.SRT)
Module F: Exponents and Logarithms
Outcome 11: I can create equations using exponents and common logarithms to solve problems.
a. I can use properties of exponents to rewrite and interpret exponential expressions (A.SSE.3, A.SSE.1b)
b. I can use properties of exponents to rewrite expressions involving radical and rational exponents.
(N.RN.2)
c. I can express any positive number as a power of 10. (A.CED.1)
d. I can use common logarithms to solve exponential equations. (A.CED.1)
HP: I can use common logarithms to solve applications of exponential models combined with arithmetic
operations. (SMP 7)
Module G: Inequalities and Systems
Outcome 12: I can solve problems that involve quadratic inequalities in one variable.
a. I can write an inequality to answer a question for a given quadratic function. (A.CED.1)
b. I can write a question to match a given inequality. (A.CED.1)
c. I can use graphic representations of quadratic inequalities to solve problems. (A.REI.11)
HP: I can represent the solution to a quadratic inequality in multiple ways - interval notation,
symbolically, and graphically. (SMP 6)
Outcome 13: I can solve systems of nonlinear equations and justify the solution.
a. I can write an equation to represent a question involving a comparison between a linear function and
either an inverse or quadratic function. (A.CED.2, A.CED.3)
b. I can solve systems of nonlinear equations by estimation and/or graphing. (A.REI.2, A.REI.7)
c. I can solve systems of nonlinear equations by algebraic methods. (A.REI.2, A.REI.7)
HP: I can justify and critique the reasoning of others when solving nonlinear systems of equations. (SMP
3)
Module H: Modeling
Outcome 14: I can apply geometric concepts in modeling situations.
a. I can use geometric shapes, their measures, and their properties to describe objects (G.MG.1)
b. I can apply concepts of density based on area and volume in modeling situations. (G.MG.2)
c. I can apply geometric methods to solve design problems (G.MG.3)
HP: I can critique the reasoning of others in solving geometry modeling problems. (SMP 3)