Download 2nd 9 weeks

2016.17, Advanced Algebra and Trigonometry, Quarter 2
The following practice standards will be used throughout the quarter:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Ongoing Standards
Note to Teachers: The following ongoing and fluency standards will be practiced all year long and embedded into your instruction instead of
being taught in isolation.
AAT.WCE.1 Sketch the graph of an equation, find the intercepts of a graph, test a graph and/or a function for symmetry, and find the points of
intersection of two functions.
AAT.WCE. 2 Calculate slope between two points, write the equation of a line using Point-Slope form, and understand that slope is a ratio or a rate
of change in a real-life application.
AAT.WCE.3 Use interval notation to represent the solution sets of equations.
AAT.WCE.4 Solve problems by converting the given verbal information into an appropriate mathematical model involving equations or systems of
equations; and interpret the solution obtained in written form using appropriate units of measurement.
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Standards
F.IF.6 Graph rational function, identifying zeros, asymptotes (including slant),
and holes when suitable factorizations are available, and showing endbehavior.
Student Friendly “I Can” Statements
I can analyze and graph rational functions identifying zeroes, asymptotes
(including slant), and holes when suitable factorizations are available, and
showing end-behavior.
A.C.1 Display all of the conic sections as portions of a cone.
I can find the domain and range of rational functions.
I can recognize the four basic conics.
A.C.2 From an equation in standard form, graph the appropriate conic section:
ellipses, hyperbolas, circles, and parabolas.
I can recognize, graph, and write the equations of parabolas, ellipses,
hyperbolas and circles.
A.C.3 Transform equations of conic sections to convert between general and
standard form.
I can transform equations of conic sections to convert between general and
standard form.
F.IF.2 Identify or analyze the distinguishing properties of exponential,
polynomial, logarithmic, trigonometric, and rational functions from tables,
graphs, and equations.
I can identify and analyze the properties of exponential and logarithmic
functions from tables, graphs, and equations.
N.NE.1 Use the laws of exponents and logarithms to expand or collect terms in
expressions; simplify expressions or modify them in order to analyze them or
compare them.
I can use the laws of exponents and logarithms to expand or collect terms in
expressions in order to simplify them.
N.NE.3 Classify real numbers and order real numbers that include
transcendental expressions, including roots and fractions of pi and e.
N.NE.2 Understand the inverse relationship between exponents and
logarithms and use this relationship to solve problems involving logarithms and
exponents.
I can find the inverse of an exponential or logarithmic function.
I can use exponential and logarithmic functions to solve real world problems.
I can solve exponential and logarithmic equations.
F.TF.1 Convert from radians to degrees and from degrees to radians.
I can convert from radians to degrees and from degrees to radians.
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AAT.WCE.7 Exhibit knowledge of the unit circle.
I can use the unit circle to evaluate trigonometric functions of any angle.
F.TF.2 Use special triangles to determine geometrically the values of sine,
cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the
values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their
values for x, where x is any real number.
I can apply properties of 30o-60o-90o and 45o-45o-90o triangles and reference
angles to find trig ratios for the following angles without a calculator: 30o
45o,60o,120o,135°, 150°, 210°, 225°, 240°, 300°, 315°, 330°.
I can find trigonometric ratios of 0°, 90°, 180°, and 270 ° (and any coterminal
angle) or identify the values as undefined.
G.AT.1 Use the definitions of the basic trigonometric ratios as ratios of sides in
a right triangle to solve problems about lengths of sides and measures of
angles.
I can solve real world problems involving right triangles.
G.GT.2 Match a trigonometric equation with its graph.
I can match a trig equation with its graph.
G.GT.4 Graph the sine, cosine, and tangent functions and identify
characteristics such as period, amplitude, phase shift, and asymptotes.
I can use amplitude, period, phase shift and asymptotes to graph trigonometric
functions.
I can use the definitions of sine, cosine and tangent as ratios of sides in a right
triangle to solve problems about lengths of sides and measures of angles.
I can use the sine and cosine functions to model real-life data.
G.GT.3 Determine the difference made by choice of units for angle
measurement when graphing a trigonometric function.
I can choose appropriate units and explain my choice when graphing trig
functions.
G.GT.1 Interpret transformations of trigonometric functions.
I can translate the graphs of the sine and cosine functions.
F.TF.3 Use the unit circle to explain symmetry (odd and even) and periodicity
of trigonometric functions.
G.AT.3 Derive and apply the formulas for the area of a sector of a circle.
I can determine whether trig functions are even or odd.
G.AT.4 Calculate the arc length of a circle subtended by a central angle.
I can use angles to solve real world problems involving Area of a Sector of a
Circle.
I can use angles to solve real world problems involving Arc Length.
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