Integrated Math II  Lessons
In this course, students will be reviewing material that was covered during the school year. Major concepts will be:
 Pretested
 Taught
 Posttested
 Retaught if necessary
Chapter 1: Tools of Geometry
Overview
This chapter begins by reviewing the building blocks of geometry which are the point, the line, and the plane. Students will also construct line segments, midpoints, bisectors, angles, angle bisectors, perpendicular lines, parallel lines, polygons, and points of concurrency. Students use the coordinate plane and algebra to determine the characteristics of lines, segments, and points of concurrency.
This chapter begins by reviewing the building blocks of geometry which are the point, the line, and the plane. Students will also construct line segments, midpoints, bisectors, angles, angle bisectors, perpendicular lines, parallel lines, polygons, and points of concurrency. Students use the coordinate plane and algebra to determine the characteristics of lines, segments, and points of concurrency.
Students Will Learn To:
 Identify points, lines, and planes in figures
 Draw geometric figures given symbols or descriptions
 Identify examples of coplanar lines & skew lines in figures
 Use symbols to write names of geometric figures & express measurements
 Calculate distance between points in the coordinate plane using the distance formula
 Construct & translate line segments and angles in the coordinate plane
 Determine midpoints of line segments using midpoint formula in a coordinate plane & construction techniques
 Construct parallel & perpendicular lines, as well as polygons
 Draw incenters and circumcenters of triangles
Chapter 1  Student Text

Prior knowledge useful for successful completion of Chapter 1 (Video Review):

Chapter 2: Introduction to Proofs
Overview:
This chapter focuses on the foundations of proofs. Paragraph, twocolumn, construction, and flowchart proofs are presented. Proofs involving angles and parallel lines are completed.
This chapter focuses on the foundations of proofs. Paragraph, twocolumn, construction, and flowchart proofs are presented. Proofs involving angles and parallel lines are completed.
Students Will Learn To:
 Identify specific and general information and conclusions in problem situations
 Determine whether inductive or deductive reasoning is used in situations
 Identify, compare, and contrast inductive and deductive reasoning in situations
 Write statements in propositional form
 Identify the hypothesis and conclusion of conditional statements
 Draw angles supplementary to given angles with a common or uncommon side
 Draw angles complementary to given angles with a common or uncommon side
 Solve for unknown angle measures
 identify angle pairs as adjacent, vertical, or linear pairs
 complete statements about angles and segments using postulates
 identify properties of equality in examples
 write examples using properties of equality
 Rewrite conditional statements by separating the hypothesis and conclusion
 Prove statements using construction, paragraph proofs, flow chart proofs, and twocolumn proofs
 Identify pairs of corresponding angles
 Write conjectures
 Draw and label diagrams to illustrate theorems
 Write the converse of postulates, theorems, and statements
 Solve and graph compound inequalities on number lines
 Create proofs of statements
Chapter 2  Student Text

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Chapter 3  Properties of Triangles
Overview:
Theorems involving angles and side lengths of triangles are presented. The last two lessons discuss properties and theorems of 45º45º90º triangles and 30º60º90º triangles.
Theorems involving angles and side lengths of triangles are presented. The last two lessons discuss properties and theorems of 45º45º90º triangles and 30º60º90º triangles.
Students Will Learn To:
 Determine the measure of missing angle measures in triangles
 Determine the order of side lengths given information in diagrams
 Identify interior, exterior, and remote interior angles of triangles
 Write two inequalities needed to prove the Exterior Angle Inequality Theorem given triangle diagrams
 Order angle measures of triangles without measuring
 Determine whether it is possible to form a triangle from given side lengths
 Determine the length of sides and measures of angles in 45°45°90° triangles
 Calculate the area of 45°45°90° triangles
 Determine the length of sides and measures of angles in 30°60°90° triangles
 Calculate the area of 30°60°90° triangles
Chapter 3  Student Text

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Chapter 4  Similarity through Transformations
Overview:
This chapter addresses similar triangles and establishes similar triangle theorems as well as theorems about proportionality. The chapter leads student exploration of the conditions for triangle similarity and opportunities for applications of similar triangles.
This chapter addresses similar triangles and establishes similar triangle theorems as well as theorems about proportionality. The chapter leads student exploration of the conditions for triangle similarity and opportunities for applications of similar triangles.
Students Will Learn To:
 Determine the dimensions of rectangles and their dilations and express the corresponding measurements as ratios
 Determine the scale factor of triangle dilations on the coordinate plane
 Graph dilations of triangles given the preimage, scale factor, and center of dilation
 Determine the coordinates of dilated triangles given the vertex coordinates, scale factor, and center of dilation
 Determine whether two triangles are similar / Explain why two given triangles are similar
 Determine the additional information needed to prove similarity given two triangles and a similarity theorem
 Calculate the length of indicated segments in triangles
 Use triangle proportionality to solve problems
 Write statements about given triangles that can be justified using the Proportional Segments Theorem, Triangle Proportionality Theorem, or the Converse of the Triangle Proportionality Theorem
 Use given information to write statements about triangles that can be justified using the Triangle Midsegment Theorem
 Compare the measures of segments of inscribed figures
 Construct an altitude to the hypotenuse of right triangles
 Use similarity statements to write corresponding sides of triangles as proportions
 Use triangle similarity to solve problems
 Write “Given” and “Prove” statements for given triangles and theorems
 Prove theorems given diagrams
 Use indirect measurement to calculate missing distances
Chapter 4  Student Text

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Chapter 5  Congruence Through Transformations
Overview:
In this chapter standards introduced in Integrated I are further explored. The focus is directed towards proving triangle congruence theorems and using the theorems to determine whether triangles are congruent.
Students Will Learn To:
In this chapter standards introduced in Integrated I are further explored. The focus is directed towards proving triangle congruence theorems and using the theorems to determine whether triangles are congruent.
Students Will Learn To:
 Transform geometric figures on the coordinate plane
 Determine the coordinates of translated, reflected, or rotated figures without graphing
 Identify the transformation used to create triangles on the coordinate plane and identify congruent sides and angles
 List corresponding sides and angles of triangles given congruence statements
 Use the Distance Formula to determine whether triangles are congruent by SSS / SAS
 Transform triangles on the coordinate plane and verify that the triangles are congruent by SSS / SAS
 Determine the angle measure or side measure needed to prove triangles congruent by SAS
 Determine whether there is enough information to prove triangles congruent by SSS or SAS
 Use the Distance Formula to determine whether triangles are congruent by ASA or AAS
 Transform triangles on the coordinate plane and verify that the triangles are congruent by ASA or AAS
 Determine the angle measure or side measure needed to prove triangles congruent by ASA or AAS
 Determine whether there is enough information to prove triangles congruent by ASA or AAS
 Construct the perpendicular bisectors of given line segments
 Use triangle congruence theorems to complete proofs
 Provide counterexamples to demonstrate that given theorems do not prove triangle congruence
 State congruence theorems that prove triangles congruent
CHAPTER 5: Congruence Through Transformations  Lessons

Chapter 5  Student Text

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Chapter 6  using congruence Theorems
Overview:
This chapter covers triangle congruence, including right triangle and isosceles triangle congruence theorems. Lessons provide opportunities for students to explore the congruence of corresponding parts of congruent triangles as well as continuing work with proof, introducing indirect proof, and proof by contradiction. Throughout, students apply congruence theorems to solve problems.
Students Will Learn To:
This chapter covers triangle congruence, including right triangle and isosceles triangle congruence theorems. Lessons provide opportunities for students to explore the congruence of corresponding parts of congruent triangles as well as continuing work with proof, introducing indirect proof, and proof by contradiction. Throughout, students apply congruence theorems to solve problems.
Students Will Learn To:
 Mark triangle sides to make congruence statements true by the HL/LL/HA/LA Congruence Theorems
 Determine if there is enough information to prove triangles congruent
 Use right triangle congruence theorems to solve problems
 Write twocolumn proofs using right triangle congruence theorems
 Write twocolumn proofs using CPCTC
 Use CPCTC to solve problems
 Write isosceles triangle theorems to justify statements
 Determine unknown values given isosceles triangle diagrams
 Use isosceles triangle theorems to complete twocolumn proofs & solve problems
 Write the converse, inverse, and contrapositive of conditional statements
 Write indirect proofs to prove statements
 Use the Hinge Theorem to write conclusions about triangles using inequalities
CHAPTER 6: Using Congruence Theorems  Lessons

Chapter 6  Student Text

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Chapter 7  properties of quadrilaterals
Overview:
This chapter focuses on properties of squares, rectangles, parallelograms, rhombi, kites, and trapezoids. The sum of interior and exterior angles of polygons is also included.
Students Will Learn To:
This chapter focuses on properties of squares, rectangles, parallelograms, rhombi, kites, and trapezoids. The sum of interior and exterior angles of polygons is also included.
Students Will Learn To:
 Identify parallel lines using the Perpendicular/Parallel Line Theorem
 Use properties of squares and rectangles to complete statements
 Construct squares and rectangles given descriptions
 Write proofs to prove properties of squares and rectangles
 Use properties of parallelograms and rhombi to complete statements
 Construct parallelograms and rhombi given descriptions
 Write proofs to prove properties of parallelograms and rhombi
 Use properties of kites & trapezoids to complete statements
 Write proofs to prove properties of kites and trapezoids
 Construct isosceles trapezoids given the perimeter
 Solve problems using properties of kites and trapezoids
 Draw all possible diagonals of polygons and write the number of triangles formed
 Calculate the sum of the interior angle measures of polygons using triangles formed by diagonals or the number of sides
 Calculate the measures of the interior angles of regular polygons
 Calculate the number of sides of regular polygons given the measure of each interior angle
 Calculate the sum of the measures of the exterior angles of polygons
 Calculate the measures of adjacent exterior angles given the measure of an interior angle
 Calculate the measures of exterior angles of regular polygons
 Calculate the number of sides of regular polygons given the measure of each exterior angle
 List quadrilaterals that match given characteristics
 Use the terms quadrilateral, parallelogram, rectangle, square, trapezoid, rhombus, and kite to describe given figures
 Identify the type of quadrilateral that best describes figures
 Use quadrilateral properties to determine if statements are true or false
 List the steps to construct given quadrilaterals
Chapter 7  Student Text

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Chapter 8  trigonometry
Overview:
This chapter introduces students to trigonometric ratios using right triangles. Lessons provide opportunities for students to discover and analyze these ratios and solve application problems. Students also explore the reciprocals of the basic trigonometric ratios, sine, cosine, and tangent, along with their inverses to determine unknown angle measures. Deriving the Law of Sines and the Law of Cosines extends students’ understanding of trigonometry to apply to all triangles.
Students Will Learn To:
This chapter introduces students to trigonometric ratios using right triangles. Lessons provide opportunities for students to discover and analyze these ratios and solve application problems. Students also explore the reciprocals of the basic trigonometric ratios, sine, cosine, and tangent, along with their inverses to determine unknown angle measures. Deriving the Law of Sines and the Law of Cosines extends students’ understanding of trigonometry to apply to all triangles.
Students Will Learn To:
 Determine the ratios oppositehypotenuse , adjacenthypotenuse, and oppositeadjacent in triangles given a reference angle
 Calculate trigonometric ratios in similar triangles
 Calculate the tangent / cotangent of indicated angles in triangles
 Use a calculator to approximate tangent/cotangent ratios
 Calculate missing lengths in triangles using tangent and cotangent
 Calculate angle measures using inverse tangent
 Calculate the sine / cosecant of indicated angles in triangles
 Use a calculator to approximate sine / cosecant ratios
 Calculate missing lengths in triangles using sine and cosecant
 Calculate angle measures using inverse sine
 Calculate the cosine / secant of indicated angles in triangles
 Use a calculator to approximate cosine / secant ratios
 Calculate missing lengths in triangles using cosine and secant
 Calculate angle measures using inverse cosine
 Determine the trigonometric ratio that can be used to solve for an unknown measure in triangles
 Use trigonometric ratios to solve angle of elevation / angle of depression problems
 Use trigonometry to determine the area of triangles
Chapter 8  Student Text

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Chapter 9  circles
Overview:
This chapter reviews information about circles, and then focuses on angles, arcs, chords, and tangents related to a circle. Several theorems related to circles are proven throughout the chapter.
Students Will Learn To:
This chapter reviews information about circles, and then focuses on angles, arcs, chords, and tangents related to a circle. Several theorems related to circles are proven throughout the chapter.
Students Will Learn To:
 Identify indicated parts of circles, including inscribed angles and central angles
 Classify arcs as major arcs, minor arcs, or semicircles
 Determine the measure of minor arcs, central angles, inscribed angles, intercepted arcs
 Calculate the measures of angles using the Inscribed Angle Theorem
 Write expressions for the measures of given angles
 List the intercepted arc for given angles
 Create proofs using circle theorems
 Use given information to determine measurements and answer questions about circles
 Compare measurements of arcs and segments in a circle
 Use the Segment Chord Theorem to write equations from diagrams
 Use tangents and tangent segments to calculate angle measures, write congruence statements, and calculate angle measures
 Identify secant segments and external secant segments
 Use the Secant Segment Theorem and Secant Tangent Theorem to write equations from diagrams
 Identify tangent segments, secant segments, and external secant segments
Chapter 9  Student Text

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Chapter 10  arcs and centers of circles
Overview:
This chapter explores inscribed and circumscribed polygons as well as circles. Students determine relationships between central angles, arcs, arc lengths, areas of parts of circles, as well as linear velocity and angular velocity.
Students Will Learn To:
This chapter explores inscribed and circumscribed polygons as well as circles. Students determine relationships between central angles, arcs, arc lengths, areas of parts of circles, as well as linear velocity and angular velocity.
Students Will Learn To:
 Draw inscribed triangles through given points and determine if the triangles are right triangles
 Draw inscribed triangles or quadrilaterals through given points and determine indicated angle measures
 Construct circles inscribed in polygons
 Use inscribed and circumscribed polygons to write proofs
 Calculate the ratio of arc lengths to circle circumferences
 Write expressions to calculate the lengths of arcs
 Use central angle measures, arc lengths, and radii to solve for measures
 Calculate the area of sectors & segments of circles
 Use information to determine the radii of circles
 Use given arc measures to determine the measures of indicated angles
 Determine linear velocity and angular velocity
CHAPTER 10: Arcs and Sectors of Circles  Lessons

Chapter 10  Student Text

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Chapter 11  threedimensional figures
Overview:
This chapter focuses on threedimensional figures. The first two lessons address rotating and stacking two dimensional figures to created threedimensional solids.
Students Will Learn To:
This chapter focuses on threedimensional figures. The first two lessons address rotating and stacking two dimensional figures to created threedimensional solids.
Students Will Learn To:
 Identify solid figures formed from rotating given plane figures
 Relate the dimensions of solid figures and plane figures rotated to create the solid figures
 Identify solid figures formed from the translation of a plane figure
 Identify solid figures formed from the stacking of congruent plane figures or similar plane figures
 Relate the dimensions of solid figures and plane figures
 Calculate the volume of cones & square pyramids
 Calculate the volume of spheres, pyramids, & cylinders
 Sketch & describe the shape of cross sections
 Draw threedimensional diagonals
 Sketch triangles using the twodimensional diagonals and dimensions of solid figures
Chapter 11  Student Text

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Chapter 12  introduction to quadratic functions
Overview:
This chapter examines the graphical behavior of quadratic functions, including domain, range, increasing and decreasing, absolute maximum and absolute minimum, symmetry, and zeros. The relationship between the form of a quadratic function and the graph of a quadratic function is discussed, especially the key graphical characteristics identified from the form of the quadratic function. Transformations and dilations of quadratic functions are explored.
Students Will Learn To:
This chapter examines the graphical behavior of quadratic functions, including domain, range, increasing and decreasing, absolute maximum and absolute minimum, symmetry, and zeros. The relationship between the form of a quadratic function and the graph of a quadratic function is discussed, especially the key graphical characteristics identified from the form of the quadratic function. Transformations and dilations of quadratic functions are explored.
Students Will Learn To:
 Write quadratic functions in standard form
 Write quadratic functions in standard form that represent area as a function of width
 Determine and describe absolute maxima / minima of functions
 Graph tables of values then describe the function represented by the graph
 Calculate first and second difference for tables of values then describe the function represented by the table
 Graph functions represented by problem situations then identify absolute maxima, zeros, domains, and ranges
 Use interval notation to represent intervals described, including intervals of increase and decrease for given graphs of functions
 Factor expressions to determine xintercepts of quadratic functions
 Write quadratic functions in factored form with given characteristics
 Determine xintercepts for functions using a graphing calculator then write the function in factored form
 Determine xintercepts for functions then write the function in factored form
 Write functions representing vertical motion problem situations
 Identify vertices and axes of symmetry for vertical motion problem situations
 Determine axes of symmetry and vertices of parabolas
 Determine other points on a parabola given information about the parabola
 Determine vertexes of quadratic functions given in vertex form or standard form
 Determine xintercepts of quadratic functions given in standard form
 Identify the form of quadratic functions as standard, factored, or vertex then describe key characteristics based on the equation
 Write equations for quadratic functions with given characteristics
CHAPTER 12: Intro to Quadratic Functions  Lessons

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Chapter 13  polynomials and quadratics
Overview:
This chapter introduces operations with polynomials, including factoring quadratic trinomials. Quadratic equations are solved graphically, by factoring, and by completing the square.
Students Will Learn To:
This chapter introduces operations with polynomials, including factoring quadratic trinomials. Quadratic equations are solved graphically, by factoring, and by completing the square.
Students Will Learn To:
 Identify terms and coefficients in expressions
 Determine if expressions are polynomials
 Determine if polynomials are monomials, binomials, or trinomials and state the degree of the polynomials
 Write polynomials in standard form and classify polynomials by number and degree
 Simplify polynomial expressions
 Evaluate polynomial functions using a graph
 Determine products of binomials using algebra tiles / multiplication tables
 Factor out the greatest common factor of polynomials
 Factor trinomials using an area model, multiplication tables, or the trialanderror method
 Factor polynomials & binomials
 Factor & solve quadratic equations
 Determine zeros of quadratic functions
 Rewrite radicals by extracting perfect squares
 Determine approximate values of radical expressions
 Solve quadratic equations and approximate roots
 Solve quadratic equations and rewrite roots in radical form
 Use geometric figures to complete the square for expressions
 Determine unknown values to make trinomials perfect squares
 Determine the roots of quadratic equations by completing the square
CHAPTER 13: Polynomials and Quadratics  Lessons

Chapter 13  Student Text

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Chapter 14  solving quadratic equations and inequalities
Overview:
This chapter introduces the quadratic formula and emphasizes choosing an appropriate method to solve quadratic equations. Quadratic inequalities are solved using a coordinate plane, and then an algebraic strategy is introduced.
Students Will Learn To:
This chapter introduces the quadratic formula and emphasizes choosing an appropriate method to solve quadratic equations. Quadratic inequalities are solved using a coordinate plane, and then an algebraic strategy is introduced.
Students Will Learn To:
 Determine the approximate zeros or roots of functions or equations
 Determine the exact zeros or roots of functions or equations
 Use the discriminant to determine the number of zeros or roots of functions or equations
 Determine quadratic regression equations and coefficients of determination for given data sets using a graphing calculator
 Determine roots of quadratic inequalities then use the interval method to determine solution sets
 Answer questions using a given vertical motion problem situation
CHAPTER 14: Solving Quadratic Equations and Inequalities  Lessons

Chapter 14  Student Text

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Chapter 15  real number systems
Overview:
This chapter begins by reviewing the real number system and then move to introducing the imaginary and ultimately the complex number system. Using the powers of exponents rules, students discover the necessity of the number i. This discovery leads to students exploring whether quadratic functions have one, two, or no real roots.
Students Will Learn To:
This chapter begins by reviewing the real number system and then move to introducing the imaginary and ultimately the complex number system. Using the powers of exponents rules, students discover the necessity of the number i. This discovery leads to students exploring whether quadratic functions have one, two, or no real roots.
Students Will Learn To:
 Determine if numbers are included in a given number set
 Identify whether number sets are closed or not closed under addition, subtraction, multiplication, and division
 Identify equations that could be solved using given number sets
 Represent decimals as fractions
 Identify properties demonstrated by given equations
 Identify properties, transformations, or simplifications used to simplify expressions
 Identify properties, transformations, or simplifications used to solve equations
 Calculate powers of i
 Simplify numeric & algebraic expressions using i
 Determine the real and imaginary parts of complex numbers
 Identify sets that given numbers belong to
 Rewrite expressions using i
 Simplify expressions involving complex numbers
 Determine products of complex numbers
 Identify expressions as monomial, binomial, or trinomial
 Simplify expressions involving i
 Write conjugates of complex numbers
 Determine quotients of complex numbers
 Determine the number of roots of quadratic graphs then determine if the roots are real or imaginary
 Determine zeros of given functions
Chapter 15  Student Text

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Chapter 16  other functions and inverses
Overview:
This chapter focuses on piecewise functions, absolute value functions, and step functions. Inverses of linear functions are introduced graphically, numerically, and algebraically, which is then extended to include nonlinear functions.
Students Will Learn To:
This chapter focuses on piecewise functions, absolute value functions, and step functions. Inverses of linear functions are introduced graphically, numerically, and algebraically, which is then extended to include nonlinear functions.
Students Will Learn To:
 Complete tables then sketch graphs to represent problem situations
 Write piecewise functions to represent data given in tables
 Sketch graphs to represent data shown given in tables then write functions to represent the graphs
 Write and graph functions to represent problem situations
 Write functions to represent problem situations then graph the functions on a graphing calculator
 Evaluate floor and ceiling functions
 Identify the domain and range of relationships and reverse relationships then determine that such relationships are functions
 Complete tables then write equations to represent relationships and inverses of problem situations
 Determine inverses of functions then graph the original and inverse functions
 Determine corresponding points on graphs of inverse functions
 Determine if pairs of functions are inverses
 Complete tables of values for functions and inverses then determine if functions are onetoone functions
 Determine if functions are onetoone functions given a graph of a function and its inverse
 Identify equations as linear, exponential, quadratic, or linear absolute value then determine if functions are onetoone functions
 Determine equations of inverses of given quadratic functions
 Determine equations of inverses of given functions then graph functions and inverses and restrict the domain so the inverse is also a function
CHAPTER 16: Other Functions and Their Inverses  Lessons

Chapter 16  Student Text

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Chapter 17  shapes on the coordinate plane
Overview:
In this chapter, students analyze geometric figures on the coordinate plane, including parallel and perpendicular lines, triangles, and quadrilaterals. Algebraic connections are made throughout the chapter.
Students Will Learn To:
In this chapter, students analyze geometric figures on the coordinate plane, including parallel and perpendicular lines, triangles, and quadrilaterals. Algebraic connections are made throughout the chapter.
Students Will Learn To:
 Determine whether lines are parallel, perpendicular, or neither given equations
 Determine whether lines on the coordinate plane are parallel, perpendicular or neither
 Determine equations in pointslope form and slopeintercept form of lines parallel to given lines
 Determine equations in pointslope form and slopeintercept form of lines perpendicular to given lines
 Determine equations of vertical & horizontal lines passing through given points
 Calculate distances from points to lines given coordinates and equations
 Identify the domain and range of relationships and reverse relationships then determine that such relationships are functions
 Determine the possible locations of a point to create triangles on the coordinate plane given a line segment
 Graph triangles on the coordinate plane given vertex coordinates and classify the triangles based on the side lengths
 Graph triangles on the coordinate plane given vertex coordinates and classify the triangles based on the angle measures
 Determine the distance between two points given coordinates
 Determine the slopes of segments and whether they are parallel or perpendicular
 Determine equations of lines given the slope and a point that the line passes through
 Determine solutions of systems of linear equations
 Determine whether quadrilaterals can best be described as trapezoids, rhombi, rectangles, squares, or none given information
CHAPTER 17: Shapes on the Coordinate Plane  Lessons

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Chapter 18  circles & parabolas
Overview:
This chapter explores circles, polygons, and parabolas on the coordinate plane. Key characteristics are used to write equations for geometric figures.
Students Will Learn To:
This chapter explores circles, polygons, and parabolas on the coordinate plane. Key characteristics are used to write equations for geometric figures.
Students Will Learn To:
 Justify the truth of statements using algebra and theorems
 Classify polygons formed by connecting the midpoints of sides of quadrilaterals on the coordinate plane
 Write equations for circles in standard form
 Write equations for circles in standard form and identify the center points and radii
 Determine if equations represent circles and describe the radius length and the location of the center
 Determine equations of circles that meet given conditions
 Determine whether given points lie on given circles
 Use symmetry to determine coordinates of points on circles
 Determine equations of parabolas on the coordinate plane
 Identify the vertex, axis of symmetry, value of p, focus, and directrix for parabolas
 Sketch parabolas given equations
 Determine the equation of parabolas graphed on the coordinate plane
 Use equations to complete tables and graph parabolas
 Rewrite equations in standard form
CHAPTER 18: Circles and Parabolas  Lessons

Chapter 18  Student Text
Chapter 18  Tests

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Chapter 19  probability
Overview:
This chapter investigates compound probability with an emphasis toward modeling and analyzing sample spaces to determine rules for calculating probabilities in different situations. Students explore various probability models and calculate compound probabilities with independent and dependent events in a variety of problem situations. Students use technology to run experimental probability simulations.
Students Will Learn To:
This chapter investigates compound probability with an emphasis toward modeling and analyzing sample spaces to determine rules for calculating probabilities in different situations. Students explore various probability models and calculate compound probabilities with independent and dependent events in a variety of problem situations. Students use technology to run experimental probability simulations.
Students Will Learn To:
 Identify the sample space for situations
 Construct uniform and nonuniform probability models for situations
 Determine the probability of events and their complements
 Identify the actions, outcomes, disjoint sets, intersecting sets, independent events, and dependent events in probability situations
 Sketch tree diagrams and write organized lists to represent sample spaces
 Use the Counting Principle to determine the number of possible outcomes for probability situations
 Determine the probability of events and compound events
 Determine the probability of events and dependent events
 Use the Addition Rule for Probability to determine the probability of independent events
 Use the Addition Rule for Probability to determine the probability of dependent events
 Determine the probability of compound events with or without replacement
 Use the multiplication rule of probability for compound independent events to solve problems
 Determine experimental probabilities using a random number generator to solve problems
 Compare theoretical and experimental probabilities in situations
CHAPTER 19: Probability  Lessons

Chapter 19  Student Text
Chapter 19  Tests

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Chapter 20  more probability ... and counting
Overview:
This chapter addresses more compound probability concepts and more counting strategies. Compound probability concepts are presented using twoway frequency tables, conditional probability, and independent trials. The counting strategies include permutations, permutations with repetition, circular permutations, and combinations. The last lesson focuses on geometric probability and expected value.
Students Will Learn To:
This chapter addresses more compound probability concepts and more counting strategies. Compound probability concepts are presented using twoway frequency tables, conditional probability, and independent trials. The counting strategies include permutations, permutations with repetition, circular permutations, and combinations. The last lesson focuses on geometric probability and expected value.
Students Will Learn To:
 Calculate relative frequencies
 Write piecewise functions to represent data given in tables
 Calculate relative frequencies in a twoway table
 Use a twoway table to calculate probabilities
 Use a table of relative frequencies to calculate probabilities
 Use a table to determine probabilities
 Determine conditional probabilities
 Determine probabilities from a situation
 Determine probabilities from a twoway frequency table
 Evaluate permutations expressions
 Calculate the number of possible outcomes in permutations situations
 Evaluate combinations expressions
 Calculate the number of possible outcomes in combinations situations
 Use permutations and combinations to solve problems
 Calculate circular permutations
 Determine probabilities in problem situations
 Use formulas to determine probabilities
 Determine geometric probabilities
 Determine expected values
 Determine expected values using spinners
CHAPTER 20: More Probability and Counting  Lessons

Chapter 20  Student Text
Chapter 20  Tests

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