IXL skill plan | Geometry plan for HMH AGA

Skill plan for HMH AGA - Geometry

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1	Unit 1 Transformations and Congruence
Module 1 - Tools of Geometry
Lesson 1.1: Segment Length and Midpoints		1. Lines, line segments, and rays 2. Construct a congruent segment 3. Distance formula 4. Midpoint formula: find the midpoint Also consider: • Midpoint formula: find the endpoint
Lesson 1.1: Segment Length and Midpoints
1. Lines, line segments, and rays 2. Construct a congruent segment 3. Distance formula 4. Midpoint formula: find the midpoint Also consider: • Midpoint formula: find the endpoint

Lesson 1.2: Angle Measures and Angle Bisectors		1. Construct a congruent angle 2. Angle vocabulary 3. Angle measures 4. Construct an angle bisector Also consider: • Angle addition • Classify angles • Angle bisectors
Lesson 1.2: Angle Measures and Angle Bisectors
1. Construct a congruent angle 2. Angle vocabulary 3. Angle measures 4. Construct an angle bisector Also consider: • Angle addition • Classify angles • Angle bisectors

Lesson 1.3: Representing and Describing Transformations		1. Translations: write the rule 2. Reflections and rotations: write the rule
Lesson 1.3: Representing and Describing Transformations
1. Translations: write the rule 2. Reflections and rotations: write the rule

Lesson 1.4: Reasoning and Proof		1. Conditionals 2. Properties of planes, lines, and points Also consider: • Identify hypotheses and conclusions • Counterexamples • Properties of equality
Lesson 1.4: Reasoning and Proof
1. Conditionals 2. Properties of planes, lines, and points Also consider: • Identify hypotheses and conclusions • Counterexamples • Properties of equality
Module 2 - Transformations and Symmetry
Lesson 2.1: Translations		1. Translations: graph the image 2. Translations: find the coordinates
Lesson 2.1: Translations
1. Translations: graph the image 2. Translations: find the coordinates

Lesson 2.2: Reflections		1. Reflections: graph the image 2. Reflections: find the coordinates
Lesson 2.2: Reflections
1. Reflections: graph the image 2. Reflections: find the coordinates

Lesson 2.3: Rotations		1. Rotate polygons about a point 2. Rotations: graph the image 3. Rotations: find the coordinates
Lesson 2.3: Rotations
1. Rotate polygons about a point 2. Rotations: graph the image 3. Rotations: find the coordinates

Lesson 2.4: Investigating Symmetry		1. Line symmetry 2. Rotational symmetry Also consider: • Draw lines of symmetry • Count lines of symmetry • Transformations that carry a polygon onto itself
Lesson 2.4: Investigating Symmetry
1. Line symmetry 2. Rotational symmetry Also consider: • Draw lines of symmetry • Count lines of symmetry • Transformations that carry a polygon onto itself

Checkpoint opportunity		1. Checkpoint: Definitions of geometric objects
Checkpoint opportunity
1. Checkpoint: Definitions of geometric objects
Module 3 - Congruent Figures
Lesson 3.1: Sequences and Transformations		1. Sequences of congruence transformations: graph the image Also consider: • Sequences of congruence transformations: choose the sequence • Sequences of congruence transformations: find the rules
Lesson 3.1: Sequences and Transformations
1. Sequences of congruence transformations: graph the image Also consider: • Sequences of congruence transformations: choose the sequence • Sequences of congruence transformations: find the rules

Lesson 3.2: Proving Figures Are Congruent Using Rigid Motions		1. Determine if two figures are congruent: justify your answer
Lesson 3.2: Proving Figures Are Congruent Using Rigid Motions
1. Determine if two figures are congruent: justify your answer

Lesson 3.3: Corresponding Parts of Congruent Figures Are Congruent		1. Congruence statements and corresponding parts 2. Solve problems involving corresponding parts 3. Identify congruent figures
Lesson 3.3: Corresponding Parts of Congruent Figures Are Congruent
1. Congruence statements and corresponding parts 2. Solve problems involving corresponding parts 3. Identify congruent figures

Checkpoint opportunity		1. Checkpoint: Congruence transformations
Checkpoint opportunity
1. Checkpoint: Congruence transformations

2	Unit 2 Lines, Angles, and Triangles
Module 4 - Lines and Angles
Lesson 4.1: Angles Formed by Intersecting Lines		1. Identify complementary, supplementary, vertical, adjacent, and congruent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles Also consider: • Proofs involving angles • Angle diagrams: solve for the variable
Lesson 4.1: Angles Formed by Intersecting Lines
1. Identify complementary, supplementary, vertical, adjacent, and congruent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles Also consider: • Proofs involving angles • Angle diagrams: solve for the variable

Lesson 4.2: Transversals and Parallel Lines		1. Transversals: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x 4. Transversals of parallel lines: prove angle relationships
Lesson 4.2: Transversals and Parallel Lines
1. Transversals: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x 4. Transversals of parallel lines: prove angle relationships

Lesson 4.3: Proving Lines Are Parallel		1. Transversals: prove lines are parallel 2. Construct parallel lines
Lesson 4.3: Proving Lines Are Parallel
1. Transversals: prove lines are parallel 2. Construct parallel lines

Lesson 4.4: Perpendicular Lines		1. Construct the midpoint or perpendicular bisector of a segment 2. Perpendicular Bisector Theorem Also consider: • Construct a perpendicular line
Lesson 4.4: Perpendicular Lines
1. Construct the midpoint or perpendicular bisector of a segment 2. Perpendicular Bisector Theorem Also consider: • Construct a perpendicular line

Lesson 4.5: Equations of Parallel and Perpendicular Lines		1. Slopes of parallel and perpendicular lines 2. Equations of parallel and perpendicular lines
Lesson 4.5: Equations of Parallel and Perpendicular Lines
1. Slopes of parallel and perpendicular lines 2. Equations of parallel and perpendicular lines

Checkpoint opportunity		1. Checkpoint: Line and angle theorems
Checkpoint opportunity
1. Checkpoint: Line and angle theorems
Module 5 - Triangle Congruence Criteria
Lesson 5.1: Exploring What Makes Triangles Congruent		1. Prove triangles are congruent using rigid motions 2. Congruence statements and corresponding parts of triangles 3. Solve problems involving corresponding parts of congruent triangles
Lesson 5.1: Exploring What Makes Triangles Congruent
1. Prove triangles are congruent using rigid motions 2. Congruence statements and corresponding parts of triangles 3. Solve problems involving corresponding parts of congruent triangles

Lesson 5.2: ASA Triangle Congruence Lesson 5.3: SAS Triangle Congruence Lesson 5.4: SSS Triangle Congruence		1. SSS, SAS, and ASA Theorems 2. Proving triangles congruent by SSS, SAS, and ASA Also consider: • Proofs involving corresponding parts of congruent triangles I
Lesson 5.2: ASA Triangle Congruence Lesson 5.3: SAS Triangle Congruence Lesson 5.4: SSS Triangle Congruence
1. SSS, SAS, and ASA Theorems 2. Proving triangles congruent by SSS, SAS, and ASA Also consider: • Proofs involving corresponding parts of congruent triangles I

Checkpoint opportunity		1. Checkpoint: Rigid motion and congruence
Checkpoint opportunity
1. Checkpoint: Rigid motion and congruence
Module 6 - Applications of Triangle Congruence
Lesson 6.1: Justifying Constructions		1. Construct an equilateral triangle or regular hexagon Also consider: • Construct a square inscribed in a circle • Construct a regular hexagon inscribed in a circle
Lesson 6.1: Justifying Constructions
1. Construct an equilateral triangle or regular hexagon Also consider: • Construct a square inscribed in a circle • Construct a regular hexagon inscribed in a circle

Lesson 6.2: AAS Triangle Congruence		1. Proving triangles congruent by AAS Also consider: • SSS, SAS, ASA, and AAS Theorems • Proving triangles congruent by SSS, SAS, ASA, and AAS
Lesson 6.2: AAS Triangle Congruence
1. Proving triangles congruent by AAS Also consider: • SSS, SAS, ASA, and AAS Theorems • Proving triangles congruent by SSS, SAS, ASA, and AAS

Lesson 6.3: HL Triangle Congruence		1. Hypotenuse-Leg Theorem
Lesson 6.3: HL Triangle Congruence
1. Hypotenuse-Leg Theorem
Module 7 - Properties of Triangles
Lesson 7.1: Interior and Exterior Angles		1. Triangle Angle-Sum Theorem 2. Exterior Angle Theorem 3. Interior angles of polygons Also consider: • Exterior angles of polygons • Proofs involving triangles I
Lesson 7.1: Interior and Exterior Angles
1. Triangle Angle-Sum Theorem 2. Exterior Angle Theorem 3. Interior angles of polygons Also consider: • Exterior angles of polygons • Proofs involving triangles I

Lesson 7.2: Isosceles and Equilateral Triangles		1. Congruency in isosceles and equilateral triangles 2. Proofs involving isosceles triangles Also consider: • Classify triangles
Lesson 7.2: Isosceles and Equilateral Triangles
1. Congruency in isosceles and equilateral triangles 2. Proofs involving isosceles triangles Also consider: • Classify triangles

Lesson 7.3: Triangle Inequalities		1. Triangle Inequality Theorem 2. Angle-side relationships in triangles
Lesson 7.3: Triangle Inequalities
1. Triangle Inequality Theorem 2. Angle-side relationships in triangles
Module 8 - Special Segments in Triangles
Lesson 8.1: Perpendicular Bisectors of Triangles		1. Construct the circumscribed circle and the circumcenter of a triangle
Lesson 8.1: Perpendicular Bisectors of Triangles
1. Construct the circumscribed circle and the circumcenter of a triangle

Lesson 8.2: Angle Bisectors of Triangles		1. Construct the inscribed circle and the incenter of a triangle
Lesson 8.2: Angle Bisectors of Triangles
1. Construct the inscribed circle and the incenter of a triangle

Lesson 8.3: Medians and Altitudes of Triangles		1. Find the centroid of a triangle 2. Construct the centroid or orthocenter of a triangle Also consider: • Identify medians, altitudes, angle bisectors, and perpendicular bisectors
Lesson 8.3: Medians and Altitudes of Triangles
1. Find the centroid of a triangle 2. Construct the centroid or orthocenter of a triangle Also consider: • Identify medians, altitudes, angle bisectors, and perpendicular bisectors

Lesson 8.4: Midsegments of Triangles		1. Midsegments of triangles Also consider: • Proofs involving the Triangle Midsegment Theorem
Lesson 8.4: Midsegments of Triangles
1. Midsegments of triangles Also consider: • Proofs involving the Triangle Midsegment Theorem

3	Unit 3 Quadrilaterals and Coordinate Proof
Module 9 - Properties of Quadrilaterals
Lesson 9.1: Properties of Parallelograms		1. Properties of parallelograms 2. Find missing angles in parallelograms
Lesson 9.1: Properties of Parallelograms
1. Properties of parallelograms 2. Find missing angles in parallelograms

Lesson 9.2: Conditions for Parallelograms		1. Proving a quadrilateral is a parallelogram
Lesson 9.2: Conditions for Parallelograms
1. Proving a quadrilateral is a parallelogram

Lesson 9.3: Properties of Rectangles, Rhombuses, and Squares		1. Properties of rhombuses 2. Properties of squares and rectangles
Lesson 9.3: Properties of Rectangles, Rhombuses, and Squares
1. Properties of rhombuses 2. Properties of squares and rectangles

Lesson 9.4: Conditions for Rectangles, Rhombuses and Squares
Lesson 9.4: Conditions for Rectangles, Rhombuses and Squares


Lesson 9.5: Properties and Conditions for Kites and Trapezoids		1. Properties of kites 2. Identify trapezoids 3. Properties of trapezoids Also consider: • Classify quadrilaterals I • Classify quadrilaterals II • Review: properties of quadrilaterals
Lesson 9.5: Properties and Conditions for Kites and Trapezoids
1. Properties of kites 2. Identify trapezoids 3. Properties of trapezoids Also consider: • Classify quadrilaterals I • Classify quadrilaterals II • Review: properties of quadrilaterals

Checkpoint opportunity		1. Checkpoint: Parallelogram theorems
Checkpoint opportunity
1. Checkpoint: Parallelogram theorems
Module 10 - Coordinate Proof Using Slope and Distance
Lesson 10.1: Slope and Parallel Lines Lesson 10.2: Slope and Perpendicular Lines		1. Slopes of lines 2. Graph quadrilaterals
Lesson 10.1: Slope and Parallel Lines Lesson 10.2: Slope and Perpendicular Lines
1. Slopes of lines 2. Graph quadrilaterals

Lesson 10.3: Coordinate Proof Using Distance with Segments and Triangles		1. Classify triangles on the coordinate plane: justify your answer
Lesson 10.3: Coordinate Proof Using Distance with Segments and Triangles
1. Classify triangles on the coordinate plane: justify your answer

Lesson 10.4: Coordinate Proof Using Distance with Quadrilaterals		1. Classify quadrilaterals on the coordinate plane: justify your answer
Lesson 10.4: Coordinate Proof Using Distance with Quadrilaterals
1. Classify quadrilaterals on the coordinate plane: justify your answer

Lesson 10.5: Perimeter and Area on the Coordinate Plane		1. Area and perimeter in the coordinate plane I 2. Area and perimeter in the coordinate plane II Also consider: • Area and perimeter mixed review
Lesson 10.5: Perimeter and Area on the Coordinate Plane
1. Area and perimeter in the coordinate plane I 2. Area and perimeter in the coordinate plane II Also consider: • Area and perimeter mixed review

Checkpoint opportunity		1. Checkpoint: Area and perimeter in the coordinate plane
Checkpoint opportunity
1. Checkpoint: Area and perimeter in the coordinate plane

4	Unit 4 Similarity
Module 11 - Similarity and Transformations
Lesson 11.1: Dilations		1. Dilations: find the scale factor 2. Dilations: find the scale factor and center of the dilation Also consider: • Dilations: graph the image • Dilations: find the coordinates • Dilations: find length, perimeter, and area • Dilations and parallel lines
Lesson 11.1: Dilations
1. Dilations: find the scale factor 2. Dilations: find the scale factor and center of the dilation Also consider: • Dilations: graph the image • Dilations: find the coordinates • Dilations: find length, perimeter, and area • Dilations and parallel lines

Lesson 11.2: Proving Figures Are Similar Using Transformations		1. Similar triangles and similarity transformations 2. Similarity of circles
Lesson 11.2: Proving Figures Are Similar Using Transformations
1. Similar triangles and similarity transformations 2. Similarity of circles

Lesson 11.3: Corresponding Parts of Similar Figures		1. Identify similar figures 2. Side lengths and angle measures in similar figures Also consider: • Ratios in similar figures • Similarity statements
Lesson 11.3: Corresponding Parts of Similar Figures
1. Identify similar figures 2. Side lengths and angle measures in similar figures Also consider: • Ratios in similar figures • Similarity statements

Lesson 11.4: AA Similarity of Triangles		1. Angle-angle criterion for similar triangles 2. Similarity rules for triangles 3. Prove similarity statements
Lesson 11.4: AA Similarity of Triangles
1. Angle-angle criterion for similar triangles 2. Similarity rules for triangles 3. Prove similarity statements

Checkpoint opportunity		1. Checkpoint: Prove circles are similar 2. Checkpoint: Transformations in the plane 3. Checkpoint: Dilations 4. Checkpoint: Similarity transformations
Checkpoint opportunity
1. Checkpoint: Prove circles are similar 2. Checkpoint: Transformations in the plane 3. Checkpoint: Dilations 4. Checkpoint: Similarity transformations
Module 12 - Using Similar Triangles
Lesson 12.1: Triangle Proportionality Theorem		1. Triangle Proportionality Theorem Also consider: • Proofs involving the Triangle Proportionality Theorem
Lesson 12.1: Triangle Proportionality Theorem
1. Triangle Proportionality Theorem Also consider: • Proofs involving the Triangle Proportionality Theorem

Lesson 12.2: Subdividing a Segment in a Given Ratio		1. Partition a line segment in a given ratio
Lesson 12.2: Subdividing a Segment in a Given Ratio
1. Partition a line segment in a given ratio

Lesson 12.3: Using Proportional Relationships		1. Similar triangles and indirect measurement
Lesson 12.3: Using Proportional Relationships
1. Similar triangles and indirect measurement

Lesson 12.4: Similarity in Right Triangles		1. Similarity and altitudes in right triangles 2. Proofs involving similarity in right triangles Also consider: • Prove the Pythagorean theorem
Lesson 12.4: Similarity in Right Triangles
1. Similarity and altitudes in right triangles 2. Proofs involving similarity in right triangles Also consider: • Prove the Pythagorean theorem

Checkpoint opportunity		1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Triangle theorems 3. Checkpoint: Partition a line segment 4. Checkpoint: Triangle similarity and congruence
Checkpoint opportunity
1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Triangle theorems 3. Checkpoint: Partition a line segment 4. Checkpoint: Triangle similarity and congruence

5	Unit 5 Trigonometry
Module 13 - Trigonometry with Right Triangles
Lesson 13.1: Tangent Ratio		1. Find the tangent ratio 2. Find a side length using the tangent ratio 3. Find angle measures using inverse tangent
Lesson 13.1: Tangent Ratio
1. Find the tangent ratio 2. Find a side length using the tangent ratio 3. Find angle measures using inverse tangent

Lesson 13.2: Sine and Cosine Ratios		1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios: find a side length 3. Trigonometric ratios: find an angle measure Also consider: • Sine and cosine of complementary angles • Trigonometric ratios in similar right triangles
Lesson 13.2: Sine and Cosine Ratios
1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios: find a side length 3. Trigonometric ratios: find an angle measure Also consider: • Sine and cosine of complementary angles • Trigonometric ratios in similar right triangles

Lesson 13.3: Special Right Triangles		1. Special right triangles 2. Solve a special right triangle Also consider: • Pythagorean theorem • Converse of the Pythagorean theorem
Lesson 13.3: Special Right Triangles
1. Special right triangles 2. Solve a special right triangle Also consider: • Pythagorean theorem • Converse of the Pythagorean theorem

Lesson 13.4: Problem Solving with Trigonometry		1. Area of a triangle: sine formula 2. Solve a right triangle
Lesson 13.4: Problem Solving with Trigonometry
1. Area of a triangle: sine formula 2. Solve a right triangle

Checkpoint opportunity		1. Checkpoint: Right triangle trigonometry
Checkpoint opportunity
1. Checkpoint: Right triangle trigonometry
Module 14 - Trigonometry with All Triangles
Lesson 14.1: Law of Sines		1. Law of Sines 2. Solve a triangle using Law of Sines Also consider: • Area of a triangle: Law of Sines
Lesson 14.1: Law of Sines
1. Law of Sines 2. Solve a triangle using Law of Sines Also consider: • Area of a triangle: Law of Sines

Lesson 14.2: Law of Cosines		1. Law of Cosines 2. Solve a triangle using Law of Cosines Also consider: • Solve a triangle: mixed review
Lesson 14.2: Law of Cosines
1. Law of Cosines 2. Solve a triangle using Law of Cosines Also consider: • Solve a triangle: mixed review

Checkpoint opportunity		1. Checkpoint: Laws of Sines and Cosines
Checkpoint opportunity
1. Checkpoint: Laws of Sines and Cosines

6	Unit 6 Properties of Circles
Module 15 - Angles and Segments in Circles
Lesson 15.1: Central Angles and Inscribed Angles		1. Parts of a circle 2. Central angles and arc measures 3. Inscribed angles Also consider: • Angles in inscribed right triangles • Construct an equilateral triangle inscribed in a circle • Arcs and chords
Lesson 15.1: Central Angles and Inscribed Angles
1. Parts of a circle 2. Central angles and arc measures 3. Inscribed angles Also consider: • Angles in inscribed right triangles • Construct an equilateral triangle inscribed in a circle • Arcs and chords

Lesson 15.2: Angles in Inscribed Quadrilaterals		1. Angles in inscribed quadrilaterals I 2. Angles in inscribed quadrilaterals II
Lesson 15.2: Angles in Inscribed Quadrilaterals
1. Angles in inscribed quadrilaterals I 2. Angles in inscribed quadrilaterals II

Lesson 15.3: Tangents and Circumscribed Angles		1. Tangent lines 2. Construct a tangent line to a circle
Lesson 15.3: Tangents and Circumscribed Angles
1. Tangent lines 2. Construct a tangent line to a circle

Lesson 15.4: Segment Relationships in Circles		1. Segments formed by chords, secants, and tangents
Lesson 15.4: Segment Relationships in Circles
1. Segments formed by chords, secants, and tangents

Lesson 15.5: Angle Relationships in Circles		1. Angles formed by chords, secants, and tangents
Lesson 15.5: Angle Relationships in Circles
1. Angles formed by chords, secants, and tangents

Checkpoint opportunity		1. Checkpoint: Angles and lines in circles 2. Checkpoint: Inscribed and circumscribed circles 3. Checkpoint: Geometric constructions
Checkpoint opportunity
1. Checkpoint: Angles and lines in circles 2. Checkpoint: Inscribed and circumscribed circles 3. Checkpoint: Geometric constructions
Module 16 - Arc Length and Sector Area
Lesson 16.1: Justifying Circumference and Area of a Circle		1. Area and circumference of circles
Lesson 16.1: Justifying Circumference and Area of a Circle
1. Area and circumference of circles

Lesson 16.2: Arc Length and Radian Measure		1. Arc length 2. Convert between radians and degrees Also consider: • Radians and arc length
Lesson 16.2: Arc Length and Radian Measure
1. Arc length 2. Convert between radians and degrees Also consider: • Radians and arc length

Lesson 16.3: Sector Area		1. Understand arc length and sector area of a circle 2. Area of sectors
Lesson 16.3: Sector Area
1. Understand arc length and sector area of a circle 2. Area of sectors

Checkpoint opportunity		1. Checkpoint: Arc length and area of sectors
Checkpoint opportunity
1. Checkpoint: Arc length and area of sectors
Module 17 - Equations of Circles and Parabolas
Lesson 17.1: Equation of a Circle		1. Derive equations of circles using the Pythagorean theorem 2. Write equations of circles in standard form using properties 3. Find properties of circles from equations in general form 4. Determine if a point lies on a circle Also consider: • Complete the square • Write equations of circles in standard form from graphs • Convert equations of circles from general to standard form • Graph circles from equations in general form
Lesson 17.1: Equation of a Circle
1. Derive equations of circles using the Pythagorean theorem 2. Write equations of circles in standard form using properties 3. Find properties of circles from equations in general form 4. Determine if a point lies on a circle Also consider: • Complete the square • Write equations of circles in standard form from graphs • Convert equations of circles from general to standard form • Graph circles from equations in general form

Lesson 17.2: Equation of a Parabola		1. Write equations of parabolas in vertex form using the focus and directrix 2. Find the focus or directrix of a parabola 3. Write equations of parabolas in vertex form from graphs Also consider: • Write equations of parabolas in vertex form using properties • Find properties of a parabola from equations in general form • Graph parabolas
Lesson 17.2: Equation of a Parabola
1. Write equations of parabolas in vertex form using the focus and directrix 2. Find the focus or directrix of a parabola 3. Write equations of parabolas in vertex form from graphs Also consider: • Write equations of parabolas in vertex form using properties • Find properties of a parabola from equations in general form • Graph parabolas

Checkpoint opportunity		1. Checkpoint: Coordinate proofs 2. Checkpoint: Equations of circles 3. Checkpoint: Equations of parabolas
Checkpoint opportunity
1. Checkpoint: Coordinate proofs 2. Checkpoint: Equations of circles 3. Checkpoint: Equations of parabolas

7	Unit 7 Measurement and Modeling in Two and Three Dimensions
Module 18 - Volume Formulas
Lesson 18.1: Volume of Prisms and Cylinders		1. Volume of prisms and cylinders 2. Volume of compound figures Also consider: • Volume of complex prisms
Lesson 18.1: Volume of Prisms and Cylinders
1. Volume of prisms and cylinders 2. Volume of compound figures Also consider: • Volume of complex prisms

Lesson 18.2: Volume of Pyramids		1. Volume of pyramids
Lesson 18.2: Volume of Pyramids
1. Volume of pyramids

Lesson 18.3: Volume of Cones		1. Volume of cones
Lesson 18.3: Volume of Cones
1. Volume of cones

Lesson 18.4: Volume of Spheres		1. Volume of spheres
Lesson 18.4: Volume of Spheres
1. Volume of spheres

Checkpoint opportunity		1. Checkpoint: Volume
Checkpoint opportunity
1. Checkpoint: Volume
Module 19 - Visualizing Solids
Lesson 19.1: Cross-Sections and Solids of Rotation		1. Nets and drawings of three-dimensional figures 2. Cross sections of three-dimensional figures 3. Solids of revolution
Lesson 19.1: Cross-Sections and Solids of Rotation
1. Nets and drawings of three-dimensional figures 2. Cross sections of three-dimensional figures 3. Solids of revolution

Lesson 19.2: Surface Area of Prisms and Cylinders		1. Surface area of prisms and cylinders
Lesson 19.2: Surface Area of Prisms and Cylinders
1. Surface area of prisms and cylinders

Lesson 19.3: Surface Area of Pyramids and Cones		1. Surface area of pyramids and cones
Lesson 19.3: Surface Area of Pyramids and Cones
1. Surface area of pyramids and cones

Lesson 19.4: Surface Area of Spheres		1. Surface area of spheres
Lesson 19.4: Surface Area of Spheres
1. Surface area of spheres

Checkpoint opportunity		1. Checkpoint: Cross sections and solids of revolution
Checkpoint opportunity
1. Checkpoint: Cross sections and solids of revolution
Module 20 - Modeling and Problem Solving
Lesson 20.1: Scale Factor		1. Perimeter and area: changes in scale 2. Surface area and volume: changes in scale
Lesson 20.1: Scale Factor
1. Perimeter and area: changes in scale 2. Surface area and volume: changes in scale

Lesson 20.2: Modeling and Density		1. Calculate density, mass, and volume
Lesson 20.2: Modeling and Density
1. Calculate density, mass, and volume

Lesson 20.3: Problem Solving with Constraints
Lesson 20.3: Problem Solving with Constraints


Checkpoint opportunity		1. Checkpoint: Density 2. Checkpoint: Geometric modeling and design
Checkpoint opportunity
1. Checkpoint: Density 2. Checkpoint: Geometric modeling and design

8	Unit 8 Probability
Module 21 - Introduction to Probability
Lesson 21.1: Probability and Set Theory		1. Sets, subsets, and complements 2. Theoretical and experimental probability
Lesson 21.1: Probability and Set Theory
1. Sets, subsets, and complements 2. Theoretical and experimental probability

Lesson 21.2: Permutations and Probability		1. Counting principle 2. Permutations 3. Find probabilities using permutations Also consider: • Outcomes of compound events • Factorials • Permutation notation
Lesson 21.2: Permutations and Probability
1. Counting principle 2. Permutations 3. Find probabilities using permutations Also consider: • Outcomes of compound events • Factorials • Permutation notation

Lesson 21.3: Combinations and Probability		1. Combination notation 2. Find probabilities using combinations
Lesson 21.3: Combinations and Probability
1. Combination notation 2. Find probabilities using combinations

Lesson 21.4: Mutually Exclusive and Overlapping Events		1. Find probabilities using two-way frequency tables 2. Find probabilities using the addition rule
Lesson 21.4: Mutually Exclusive and Overlapping Events
1. Find probabilities using two-way frequency tables 2. Find probabilities using the addition rule
Module 22 - Conditional Probability and Independence of Events
Lesson 22.1: Conditional Probability		1. Find conditional probabilities using two-way frequency tables 2. Find conditional probabilities
Lesson 22.1: Conditional Probability
1. Find conditional probabilities using two-way frequency tables 2. Find conditional probabilities

Lesson 22.2: Independent Events		1. Identify independent events 2. Independence and conditional probability
Lesson 22.2: Independent Events
1. Identify independent events 2. Independence and conditional probability

Lesson 22.3: Dependent Events		1. Identify independent and dependent events 2. Probability of independent and dependent events
Lesson 22.3: Dependent Events
1. Identify independent and dependent events 2. Probability of independent and dependent events

Checkpoint opportunity		1. Checkpoint: Understand independence and conditional probability 2. Checkpoint: Probabilities of compound events
Checkpoint opportunity
1. Checkpoint: Understand independence and conditional probability 2. Checkpoint: Probabilities of compound events
Module 23 - Probability and Decision Making
Lesson 23.1: Using Probability to Make Fair Decisions		1. Write a discrete probability distribution 2. Expected values for a game of chance 3. Write the probability distribution for a game of chance
Lesson 23.1: Using Probability to Make Fair Decisions
1. Write a discrete probability distribution 2. Expected values for a game of chance 3. Write the probability distribution for a game of chance

Lesson 23.2: Analyzing Decisions		1. Choose the better bet 2. Which simulation represents the situation?
Lesson 23.2: Analyzing Decisions
1. Choose the better bet 2. Which simulation represents the situation?

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