1. Topic: Quadratics and Complex Numbers Grade: 10 Key Learning(s): Analyzes the graphs of and solves quadratic equations and inequalities by factoring, taking square roots, and using the quadratic formula. Unit Essential Question(s): How do I determine characteristics of a quadratic function algebraically and graphically? Optional Instructional Tools: Graphing calculator, graph paper, learning tasks, and graphic organizers Concept 1 Imaginary and Complex Numbers Days: 3 Concept 2 Horizontal Shifts of Quadratic Functions Days: 1 Concept 3 Converting from Standard to Vertex Form Days: 2 Concept 4 Solving Quadratic Equations by Factoring Days: 1 Concept 5 Quadratic Formula and the Discriminant Days: 2 Essential Question: How do I represent the square root of a negative number? How do I simplify and perform operations using complex numbers? Essential Question: How do I graph transformations of quadratic functions? How do I know when to shift a parabola from left to right based on the equation? Essential Question: How do I convert a quadratic equation from standard to vertex form? Essential Question: How do I solve quadratic equations by factoring when the leading coefficient is not 1? Essential Question: How do I solve quadratic equations using the quadratic formula? How do I use the discriminant to determine the nature of roots? Vocabulary: Vertex, Vertex form, Horizontal Shift Vocabulary: Vertex, Horizontal Shift Vocabulary: Vertex Form Vocabulary: Discriminant, Quadratic Formula, Nature of Roots Unit 1 Plan Math 2

2. Topic: Quadratics and Complex Numbers Grade: 10 Key Learning(s): Analyzes the graphs of and solves quadratic equations and inequalities by factoring, taking square roots, and using the quadratic formula. Unit Essential Question(s): How do I determine characteristics of a quadratic function algebraically and graphically? Optional Instructional Tools: Graphing calculator, graph paper Concept 6 Partial Sums of Arithmetic Series Days: 1 Concept 7 Solving Quadratic Inequalities Days: 1 Essential Question: How can arithmetic sequences be expressed and manipulated as functions? Essential Question: How do I solve quadratic inequalities algebraically and by using a graphing calculator? Vocabulary: Unit 1 Plan Math 2 (Pg. 2)

3. Topic: Right Triangle Trigonometry Grade: 10 Key Learning(s): Students will learn how to: Determine side lengths of special right triangles and apply trigonometric ratios to right triangles. Unit Essential Question(s): How do I determine side lengths of special right triangles? How do I apply sine, cosine, and tangent to solve problems involving right triangles? Optional Instructional Tools: Graph paper, graphic organizers, graphing calculators or utility Concept 1 Constant ratios in similar right triangles Days: 1.5 Concept 2 Special right triangles Days: 3 Concept 3 Defining and using trigonometric ratios Days: 3 Concept 4 Using trigonometric functions for complementary angles Days: 3 Concept 5 Introduction to inverse trigonometric functions Days: 1 Evaluation: 1.5 Essential Question: How do I use constant ratios to solve similar right triangles? Essential Question: How do I determine side lengths of 30°- 60°- 90° triangles and 45°- 45°- 90° triangles? Essential Question: How do I use sine, cosine, and tangent to find missing information in right triangles? Essential Question: How do I use the relationship between trigonometric functions and complementary angles? Essential Question: How do I use the inverse trigonometric functions on my graphing calculator to find angles given their sines, cosines, or tangents? Vocabulary: Similar right triangles, Ratios Vocabulary: 30°- 60°- 90° triangles, 45°- 45°- 90° triangles Vocabulary: Sine, cosine, tangent, trigonometric ratio, trigonometric function Vocabulary: Complementary Vocabulary: Unit 2 Plan Math 2

4. Topic: Circles and Spheres Grade: 10 Key Learning(s): Parts of a circle Angle measures in a circle Chords, tangents, and secants Arc lengths and areas of sectors Volume and surface area of spheres Unit Essential Question(s): How do I find the measures of special segments and angles of a circle? How do I use and apply properties of circles to solve various problems? Optional Instructional Tools: Graphic organizers, calculators, random stuff ; ) Concept 1 Parts of a Circle Days: 1.5 Concept 2 Angle Measures in a Circle Days: 2 Concept 3 Segments of Circles Days: 2 Concept 4 Arc Length and Area of a Sector Days: 3.5 Concept 5 Volume and Surface Area of a Sphere Days: 4 Evaluation of Unit: 1.5 days Essential Question: How do I distinguish among the special segments and angles associated with a circle? Essential Question: How do I find the measures of various angles formed by intersecting segments inside or tangent to a circle? Essential Question: How do I use triangle similarity to understand properties of intersecting chords, tangents, and secants of circles? Essential Question: How do I use the properties of circles to solve problems involving the length of an arc and the area of a sector? Essential Question: How do I use and apply surface area and volume of a sphere? How do I determine the effect on surface area and volume of changing the radius and diameter of a sphere? Vocabulary: Center, diameter, radius, secant, chord, tangent, point of tangency, central angle, inscribed angle, arc, major arc, minor arc, semicircle Vocabulary: Central angle, inscribed angle, vertex, intercepted arc Vocabulary: Chord, secant, tangent, point of tangency, central angle, inscribed angle, intercepted arc, similar triangles, AA similarity Vocabulary: Arc length, circumference, area of a circle, area of a sector, exact values, approximate values Vocabulary: Radius, diameter, sphere, surface area, volume, circumference Unit 3 Plan Math 2

5. Topic: Statistics Grade: 10 Key Learning(s): Analyzing data by looking at standard deviation, normal distribution, and sample and population distributions Unit Essential Question(s): How do I use measures of variability and normal distributions to analyze data? Optional Instructional Tools: Graphing calculator, Graph paper, and Learning tasks Concept 1 Means, Variances, and Standard Deviations Days: 1.5 Concept 2 The Empirical Rule Days: 2.5 Concept 3 The Golden Ratio Days: 3.5 Essential Question: How do we calculate and interpret the relationship among mean, variance, and standard deviation in problem solving? Essential Question: How do I determine when and how to use empirical rule to interpret the mean and standard deviation given a distribution of data values? Essential Question: How do I make inferences on populations and their samples using mean and standard deviation? Vocabulary: Mean, Mean deviation, Standard deviation, Variance, Frequency, Frequency distribution Vocabulary: Empirical rule, Normal distribution, Standard deviation, Mean, Dotplot, Outlier, Center, Shape, Skewedness, Symmetrical, Spread Vocabulary: Golden ratio, Standard deviation, Mean, Dotplot, Sample, Population, Random sample, Probability Unit 4 Plan Math 2

6. Topic: Statistics Grade: 10 Key Learning(s): Analyzing data by looking at standard deviation, normal distribution, and sample and population distributions Unit Essential Question(s): How do I use measures of variability and normal distributions to analyze data? Optional Instructional Tools: Graphing calculator, Graph paper, and Learning tasks Concept 4 Comparing Population Means and Standard Deviations Days: 6 Concept 5 Comparing Sample and Population Distributions Days: 6 Concept 6 Non-Normal Distributions Days: 6 Evaluation of Unit: 2 Essential Question: How do I make conclusions about data using the comparison of mean and standard deviation? Essential Question: How do I make conclusions about data based on comparing the sample versus the population mean and the sample versus the population distribution? Essential Question: How do I determine if data has a non- normal distribution and how do I use this information to make conclusions about the data? Vocabulary: Scatterplot, Mean, Population, Stem-and-leaf plot, Standard deviation, Least squares regression line, Correlation coefficient Vocabulary: Mean, Population, Random Sample, Scatterplot, Standard deviation, Stem and leaf plot Vocabulary: Normal distribution, Non-normal distribution, Dotplot, Mean, Median, Standard deviation, Interquartile range, Outliers Unit 4 Plan Math 2 (Pg.2)

7. Topic: Piecewise, Inverse, and Exponential Functions Grade: 10 Key Learning(s): Students will learn how to: Identify and graph piecewise, inverse, and exponential functions. Solve exponential equations and inequalities. Unit Essential Question(s): How do I describe and use piecewise, inverse, and exponential functions? Optional Instructional Tools: Graphing calculator, Graph paper, Learning tasks, Graphic organizers Concept 1 Piecewise Functions Days: 2 Concept 2 Points of Discontinuity Days: 1 Concept 3 Floor Functions Days: 1 Concept 4 Ceiling Functions Days: 2 Concept 5 Solving Exponential Equations and Inequalities Days: 2 Essential Question: How do I identify, describe, and graph piecewise functions? Essential Question: How do I identify points of discontinuity in piecewise functions? Essential Question: How do I graph a greatest integer function? How do I determine if a piecewise function is a floor function? Essential Question: How do I determine if a piecewise function is a ceiling function? Essential Question: How do I use properties of exponents to simplify algebraic expressions and solve exponential equations and inequalities? Vocabulary: Piecewise function Vocabulary: Point of discontinuity Vocabulary: Step function, Floor function, Greatest integer function Vocabulary: Step function, Ceiling function Vocabulary: Unit 5 Plan Math 2

8. Topic: Piecewise, Inverse, and Exponential Functions Grade: 10 Key Learning(s): Students will learn how to: Identify and graph piecewise, inverse, and exponential functions. Solve exponential equations and inequalities. Unit Essential Question(s): How do I describe and use piecewise, inverse, and exponential functions? Optional Instructional Tools: Graphing calculator, Graph paper, Learning tasks, Graphic organizers Concept 6 Transformations of Exponential Functions Days: 2 Concept 7 Geometric Sequences Days: 2 Concept 8 Inverse Functions Days: 5 Concept 9 Composition of Functions Days: 2 Evaluation of Unit: 2 days Essential Question: How do I graph transformations of exponential functions? Essential Question: How do I use the common ratio in a geometric sequence with exponential functions? Essential Question: How do I determine the inverses of linear, quadratic, and power functions? How do I describe the graphs of inverse functions? Essential Question: How do I use composition of functions to verify that functions are inverses of each other? Vocabulary: Common Ratio, Geometric Sequence Vocabulary: Inverse function, One- to-oneness Vocabulary: Composition of functions Unit 5 Plan Math 2 (Pg. 2)

9. Topic: Finding the Best Model Grade: 10 Key Learning(s): Analyzing data and finding a model that best fits the data Solving Absolute value equations and inequalities Unit Essential Question(s): How do I find a model that best fits a set of data? How do I solve absolute value equations and inequalities? How do I describe relationships using causation and correlation? Optional Instructional Tools: Graphing calculator, Graph paper, Learning tasks, and Graphic organizers Concept 1 Solving Absolute Value Equations and Inequalities Days: 3 Concept 2 Choosing Appropriate Models for a Set of Data Days: 5 Concept 3 Correlation and Causation Days: 3.5 Essential Question: How do I solve absolute value equations and inequalities both algebraically and graphically? Essential Question: How do I determine the best fitting model for a set of data using visual approximation, median-median line, and least squares regression? Essential Question: How do I use the correlation coefficient to determine the strength and direction of a linear relationship? How do I distinguish between correlation and the causation between two quantitative variables? Vocabulary: Extrapolation, Interpolation, Linear regression line, Least Squares Regression line, Median-median line, Method of finite differences, Quadratic regression, Regression curve Vocabulary: Correlation coefficient, Correlation, Causation Unit 6 Plan Math 2