IXL skill plan | Geometry plan for IM® K-12 Math v.360

Skill plan for IM^® K-12 Math v.360 - Geometry

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1	Unit 1 Constructions and Rigid Transformations
Section A - Constructions
Lesson 1: Build It		1. Lines, line segments, and rays
Lesson 1: Build It
1. Lines, line segments, and rays

Lesson 2: Constructing Patterns		1. Construct a congruent segment
Lesson 2: Constructing Patterns
1. Construct a congruent segment

Lesson 3: Construction Techniques 1: Perpendicular Bisectors		1. Construct the midpoint or perpendicular bisector of a segment
Lesson 3: Construction Techniques 1: Perpendicular Bisectors
1. Construct the midpoint or perpendicular bisector of a segment

Lesson 4: Construction Techniques 2: Equilateral Triangles		1. Construct an equilateral triangle inscribed in a circle Also consider: • Construct a regular hexagon inscribed in a circle
Lesson 4: Construction Techniques 2: Equilateral Triangles
1. Construct an equilateral triangle inscribed in a circle Also consider: • Construct a regular hexagon inscribed in a circle

Lesson 5: Construction Techniques 3: Perpendicular Lines and Angle Bisectors		1. Construct a perpendicular line I 2. Construct an angle bisector
Lesson 5: Construction Techniques 3: Perpendicular Lines and Angle Bisectors
1. Construct a perpendicular line I 2. Construct an angle bisector

Lesson 6: Construction Techniques 4: Parallel and Perpendicular Lines		1. Construct a perpendicular line II 2. Construct parallel lines
Lesson 6: Construction Techniques 4: Parallel and Perpendicular Lines
1. Construct a perpendicular line II 2. Construct parallel lines

Lesson 7: Construction Techniques 5: Squares		1. Construct a square 2. Construct a square inscribed in a circle Also consider: • Regular and irregular polygons
Lesson 7: Construction Techniques 5: Squares
1. Construct a square 2. Construct a square inscribed in a circle Also consider: • Regular and irregular polygons

Lesson 8: Using Technology for Constructions
Lesson 8: Using Technology for Constructions


Lesson 9: Speedy Delivery
Lesson 9: Speedy Delivery

Section B - Defining Rigid Transformations
Lesson 10: Rigid Transformations		1. Classify congruence transformations
Lesson 10: Rigid Transformations
1. Classify congruence transformations

Lesson 11: Defining Reflections		1. Reflections: graph the image
Lesson 11: Defining Reflections
1. Reflections: graph the image

Lesson 12: Defining Translations		1. Translations: graph the image
Lesson 12: Defining Translations
1. Translations: graph the image

Lesson 13: Incorporating Rotations		1. Rotate polygons about a point
Lesson 13: Incorporating Rotations
1. Rotate polygons about a point

Lesson 14: Defining Rotations		1. Rotations: graph the image
Lesson 14: Defining Rotations
1. Rotations: graph the image
Section C - Working with Rigid Transformations
Lesson 15: Symmetry		1. Line symmetry 2. Draw lines of symmetry 3. Count lines of symmetry
Lesson 15: Symmetry
1. Line symmetry 2. Draw lines of symmetry 3. Count lines of symmetry

Lesson 16: More Symmetry		1. Rotational symmetry 2. Transformations that carry a polygon onto itself
Lesson 16: More Symmetry
1. Rotational symmetry 2. Transformations that carry a polygon onto itself

Lesson 17: Working with Rigid Transformations		1. Sequences of congruence transformations: choose the sequence
Lesson 17: Working with Rigid Transformations
1. Sequences of congruence transformations: choose the sequence

Lesson 18: Practicing Point-by-Point Transformations
Lesson 18: Practicing Point-by-Point Transformations

Section D - Evidence and Proof
Lesson 19: Evidence, Angles, and Proof		1. Proofs involving angles
Lesson 19: Evidence, Angles, and Proof
1. Proofs involving angles

Lesson 20: Transformations, Transversals, and Proof		1. Transversals of parallel lines: find angle measures Also consider: • Proofs involving parallel lines I • Proofs involving parallel lines II • Transversals of parallel lines: solve for x
Lesson 20: Transformations, Transversals, and Proof
1. Transversals of parallel lines: find angle measures Also consider: • Proofs involving parallel lines I • Proofs involving parallel lines II • Transversals of parallel lines: solve for x

Lesson 21: One Hundred Eighty		1. Prove the triangle angle sum theorem
Lesson 21: One Hundred Eighty
1. Prove the triangle angle sum theorem
Section E - Let's Put It to Work
Lesson 22: Now What Can You Build?		1. Construct an equilateral triangle or regular hexagon
Lesson 22: Now What Can You Build?
1. Construct an equilateral triangle or regular hexagon

Checkpoint opportunity		1. Checkpoint: Definitions of geometric objects
Checkpoint opportunity
1. Checkpoint: Definitions of geometric objects

2	Unit 2 Congruence
Section A - Congruent Figures
Lesson 1: Congruent Parts, Part 1		1. Corresponding parts of congruent polygons
Lesson 1: Congruent Parts, Part 1
1. Corresponding parts of congruent polygons

Lesson 2: Congruent Parts, Part 2		1. Solve problems involving corresponding parts
Lesson 2: Congruent Parts, Part 2
1. Solve problems involving corresponding parts

Lesson 3: Congruent Triangles, Part 1		1. Congruence statements and corresponding parts 2. Prove triangles are congruent using rigid motions
Lesson 3: Congruent Triangles, Part 1
1. Congruence statements and corresponding parts 2. Prove triangles are congruent using rigid motions

Lesson 4: Congruent Triangles, Part 2		1. Triangle Angle-Sum Theorem
Lesson 4: Congruent Triangles, Part 2
1. Triangle Angle-Sum Theorem

Lesson 5: Points, Segments, and Zigzags		1. Congruence transformations: graph the image
Lesson 5: Points, Segments, and Zigzags
1. Congruence transformations: graph the image
Section B - Triangle Congruence Theorems
Lesson 6: Side-Angle-Side Triangle Congruence		1. Proofs involving SAS
Lesson 6: Side-Angle-Side Triangle Congruence
1. Proofs involving SAS

Lesson 7: Angle-Side-Angle Triangle Congruence		1. Proofs involving ASA and AAS
Lesson 7: Angle-Side-Angle Triangle Congruence
1. Proofs involving ASA and AAS

Lesson 8: The Perpendicular Bisector Theorem		1. Perpendicular Bisector Theorem
Lesson 8: The Perpendicular Bisector Theorem
1. Perpendicular Bisector Theorem

Lesson 9: Side-Side-Side Triangle Congruence		1. Proofs involving SSS Also consider: • Properties of parallelograms
Lesson 9: Side-Side-Side Triangle Congruence
1. Proofs involving SSS Also consider: • Properties of parallelograms

Lesson 10: Practicing Proofs		1. SSS, SAS, and ASA Theorems 2. Proofs involving triangles and quadrilaterals Also consider: • Hypotenuse-Leg Theorem • Proofs involving isosceles triangles
Lesson 10: Practicing Proofs
1. SSS, SAS, and ASA Theorems 2. Proofs involving triangles and quadrilaterals Also consider: • Hypotenuse-Leg Theorem • Proofs involving isosceles triangles

Lesson 11: Side-Side-Angle (Sometimes) Congruence
Lesson 11: Side-Side-Angle (Sometimes) Congruence

Section C - Proofs About Quadrilaterals
Lesson 12: Proofs About Quadrilaterals		1. Properties of rhombuses 2. Properties of squares and rectangles 3. Properties of kites
Lesson 12: Proofs About Quadrilaterals
1. Properties of rhombuses 2. Properties of squares and rectangles 3. Properties of kites

Lesson 13: Proofs About Parallelograms		1. Proving a quadrilateral is a parallelogram
Lesson 13: Proofs About Parallelograms
1. Proving a quadrilateral is a parallelogram

Lesson 14: Bisect It		1. Construct a congruent angle
Lesson 14: Bisect It
1. Construct a congruent angle
Section D - Let's Put It to Work
Lesson 15: Congruence for Quadrilaterals		1. Proofs involving quadrilaterals
Lesson 15: Congruence for Quadrilaterals
1. Proofs involving quadrilaterals

Checkpoint opportunity		Unit 2 1. Checkpoint: Parallelogram theorems Units 1-2 2. Checkpoint: Line and angle theorems
Checkpoint opportunity
Unit 2 1. Checkpoint: Parallelogram theorems Units 1-2 2. Checkpoint: Line and angle theorems

3	Unit 3 Similarity
Section A - Properties of Dilations
Lesson 1: Scale Drawings		1. Dilations: find the scale factor
Lesson 1: Scale Drawings
1. Dilations: find the scale factor

Lesson 2: Scale of the Solar System		1. Scaled polygons 2. Scale drawings: word problems Also consider: • Dilations: find the scale factor and center of the dilation
Lesson 2: Scale of the Solar System
1. Scaled polygons 2. Scale drawings: word problems Also consider: • Dilations: find the scale factor and center of the dilation

Lesson 3: Measuring Dilations		1. Dilations: graph the image 2. Dilations: find length, perimeter, and area
Lesson 3: Measuring Dilations
1. Dilations: graph the image 2. Dilations: find length, perimeter, and area

Lesson 4: Dilating Lines and Angles		1. Dilations and parallel lines
Lesson 4: Dilating Lines and Angles
1. Dilations and parallel lines

Lesson 5: Splitting Triangle Sides with Dilation (Part 1)		1. Midsegments of triangles
Lesson 5: Splitting Triangle Sides with Dilation (Part 1)
1. Midsegments of triangles
Section B - Similarity Transformations and Proportional Reasoning
Lesson 6: Connecting Similarity and Transformations		1. Similarity statements Also consider: • Similar triangles and similarity transformations
Lesson 6: Connecting Similarity and Transformations
1. Similarity statements Also consider: • Similar triangles and similarity transformations

Lesson 7: Reasoning About Similarity with Transformations		1. Identify similar triangles
Lesson 7: Reasoning About Similarity with Transformations
1. Identify similar triangles

Lesson 8: Are They All Similar?		1. Identify similar figures 2. Similarity of circles
Lesson 8: Are They All Similar?
1. Identify similar figures 2. Similarity of circles

Lesson 9: Conditions for Triangle Similarity		1. Angle-angle criterion for similar triangles
Lesson 9: Conditions for Triangle Similarity
1. Angle-angle criterion for similar triangles

Lesson 10: Other Conditions for Triangle Similarity		1. Similarity rules for triangles 2. Prove similarity statements Also consider: • Prove proportions or angle congruences using similarity
Lesson 10: Other Conditions for Triangle Similarity
1. Similarity rules for triangles 2. Prove similarity statements Also consider: • Prove proportions or angle congruences using similarity

Lesson 11: Splitting Triangle Sides with Dilation (Part 2)		1. Triangle Proportionality Theorem 2. Proofs involving triangles II
Lesson 11: Splitting Triangle Sides with Dilation (Part 2)
1. Triangle Proportionality Theorem 2. Proofs involving triangles II

Lesson 12: Practice with Proportional Relationships		1. Ratios in similar figures 2. Side lengths and angle measures in similar figures
Lesson 12: Practice with Proportional Relationships
1. Ratios in similar figures 2. Side lengths and angle measures in similar figures
Section C - Similarity in Right Triangles
Lesson 13: Using the Pythagorean Theorem and Similarity		1. Similarity and altitudes in right triangles 2. Proofs involving similarity in right triangles
Lesson 13: Using the Pythagorean Theorem and Similarity
1. Similarity and altitudes in right triangles 2. Proofs involving similarity in right triangles

Lesson 14: Proving the Pythagorean Theorem		1. Prove the Pythagorean theorem
Lesson 14: Proving the Pythagorean Theorem
1. Prove the Pythagorean theorem

Lesson 15: Converse of the Pythagorean Theorem		1. Converse of the Pythagorean theorem 2. Triangle Inequality Theorem
Lesson 15: Converse of the Pythagorean Theorem
1. Converse of the Pythagorean theorem 2. Triangle Inequality Theorem

Lesson 16: Finding All the Unknown Values in Triangles		1. Pythagorean theorem 2. Side lengths in similar triangles
Lesson 16: Finding All the Unknown Values in Triangles
1. Pythagorean theorem 2. Side lengths in similar triangles
Section D - Let's Put It to Work
Lesson 17: Reflection Similarity		1. Similar triangles and indirect measurement
Lesson 17: Reflection Similarity
1. Similar triangles and indirect measurement

Checkpoint opportunity		Unit 3 1. Checkpoint: Dilations Units 1-3 2. Checkpoint: Triangle similarity and congruence
Checkpoint opportunity
Unit 3 1. Checkpoint: Dilations Units 1-3 2. Checkpoint: Triangle similarity and congruence

4	Unit 4 Right Triangle Trigonometry
Section A - Angles and Steepness
Lesson 1: Angles and Steepness
Lesson 1: Angles and Steepness


Lesson 2: Half a Square		1. 45-45-90 right triangles
Lesson 2: Half a Square
1. 45-45-90 right triangles

Lesson 3: Half an Equilateral Triangle		1. 30-60-90 right triangles Also consider: • Special right triangles
Lesson 3: Half an Equilateral Triangle
1. 30-60-90 right triangles Also consider: • Special right triangles

Lesson 4: Ratios in Right Triangles
Lesson 4: Ratios in Right Triangles


Lesson 5: Working with Ratios in Right Triangles
Lesson 5: Working with Ratios in Right Triangles

Section B - Defining Trigonometric Ratios
Lesson 6: Working with Trigonometric Ratios		1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios with radicals: sin, cos, and tan 3. Trigonometric ratios: find a side length Also consider: • Trigonometric ratios in similar right triangles
Lesson 6: Working with Trigonometric Ratios
1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios with radicals: sin, cos, and tan 3. Trigonometric ratios: find a side length Also consider: • Trigonometric ratios in similar right triangles

Lesson 7: Applying Ratios in Right Triangles		1. Solve a right triangle I
Lesson 7: Applying Ratios in Right Triangles
1. Solve a right triangle I

Lesson 8: Sine and Cosine in the Same Right Triangle		1. Sine and cosine of complementary angles
Lesson 8: Sine and Cosine in the Same Right Triangle
1. Sine and cosine of complementary angles

Lesson 9: Trigonometry Squared		1. Pythagorean identities: sine and cosine
Lesson 9: Trigonometry Squared
1. Pythagorean identities: sine and cosine

Lesson 10: Using Trigonometric Ratios to Find Angles		1. Trigonometric ratios: find an angle measure
Lesson 10: Using Trigonometric Ratios to Find Angles
1. Trigonometric ratios: find an angle measure
Section C - Let's Put It to Work
Lesson 11: Solving Problems with Trigonometry		1. Solve a right triangle II
Lesson 11: Solving Problems with Trigonometry
1. Solve a right triangle II

Lesson 12: Approximating Pi		1. Area of regular polygons
Lesson 12: Approximating Pi
1. Area of regular polygons

Checkpoint opportunity		1. Checkpoint: Right triangle trigonometry
Checkpoint opportunity
1. Checkpoint: Right triangle trigonometry

5	Unit 5 Solid Geometry
Section A - Cross-Sections, Scaling, and Area
Lesson 1: Solids of Rotation		1. Solids of revolution
Lesson 1: Solids of Rotation
1. Solids of revolution

Lesson 2: Slicing Solids		1. Cross sections of three-dimensional figures
Lesson 2: Slicing Solids
1. Cross sections of three-dimensional figures

Lesson 3: Creating Cross-Sections by Dilating
Lesson 3: Creating Cross-Sections by Dilating


Lesson 4: Scaling and Area		1. Areas of similar figures I
Lesson 4: Scaling and Area
1. Areas of similar figures I

Lesson 5: Scaling and Unscaling		1. Areas of similar figures II Also consider: • Graph square root functions
Lesson 5: Scaling and Unscaling
1. Areas of similar figures II Also consider: • Graph square root functions
Section B - Scaling Solids
Lesson 6: Scaling Solids		1. Surface area and volume of similar solids I
Lesson 6: Scaling Solids
1. Surface area and volume of similar solids I

Lesson 7: The Root of the Problem		1. Surface area and volume of similar solids II
Lesson 7: The Root of the Problem
1. Surface area and volume of similar solids II

Lesson 8: Speaking of Scaling
Lesson 8: Speaking of Scaling

Section C - Prism and Cylinder Volumes
Lesson 9: Cylinder Volumes		1. Surface area and volume: changes in scale
Lesson 9: Cylinder Volumes
1. Surface area and volume: changes in scale

Lesson 10: Cross-Sections and Volume
Lesson 10: Cross-Sections and Volume


Lesson 11: Prisms Practice		1. Volume of prisms and cylinders
Lesson 11: Prisms Practice
1. Volume of prisms and cylinders
Section D - Understanding Pyramid Volumes
Lesson 12: Prisms and Pyramids		1. Which figure is being described?
Lesson 12: Prisms and Pyramids
1. Which figure is being described?

Lesson 13: Building a Volume Formula for a Pyramid
Lesson 13: Building a Volume Formula for a Pyramid


Lesson 14: Working with Pyramids		1. Volume of pyramids and cones
Lesson 14: Working with Pyramids
1. Volume of pyramids and cones

Lesson 15: Putting All the Solids Together		1. Volume: mixed review
Lesson 15: Putting All the Solids Together
1. Volume: mixed review
Section E - Let's Put It to Work
Lesson 16: Surface Area and Volume		1. Surface area of spheres 2. Volume of spheres
Lesson 16: Surface Area and Volume
1. Surface area of spheres 2. Volume of spheres

Lesson 17: Volume and Density		1. Calculate density, mass, and volume
Lesson 17: Volume and Density
1. Calculate density, mass, and volume

Lesson 18: Volume and Graphing
Lesson 18: Volume and Graphing


Checkpoint opportunity		1. Checkpoint: Cross sections and solids of revolution 2. Checkpoint: Volume 3. Checkpoint: Density
Checkpoint opportunity
1. Checkpoint: Cross sections and solids of revolution 2. Checkpoint: Volume 3. Checkpoint: Density

6	Unit 6 Coordinate Geometry
Section A - Transformations in the Plane
Lesson 1: Rigid Transformations in a Plane		1. Determine if two figures are congruent: justify your answer 2. Translations: find the coordinates 3. Reflections: find the coordinates 4. Rotations: find the coordinates Also consider: • Sequences of congruence transformations: graph the image
Lesson 1: Rigid Transformations in a Plane
1. Determine if two figures are congruent: justify your answer 2. Translations: find the coordinates 3. Reflections: find the coordinates 4. Rotations: find the coordinates Also consider: • Sequences of congruence transformations: graph the image

Lesson 2: Transformations as Functions		1. Translations: write the rule 2. Reflections and rotations: write the rule
Lesson 2: Transformations as Functions
1. Translations: write the rule 2. Reflections and rotations: write the rule

Lesson 3: Types of Transformations		1. Dilations: find the coordinates 2. Sequences of congruence transformations: find the rules
Lesson 3: Types of Transformations
1. Dilations: find the coordinates 2. Sequences of congruence transformations: find the rules
Section B - Distances, Circles, and Parabolas
Lesson 4: Distances and Circles		1. Determine if a point lies on a circle 2. Derive equations of circles using the Pythagorean theorem Also consider: • Write equations of circles in standard form from graphs • Write equations of circles in standard form using properties • Graph circles from equations in standard form • Distance formula
Lesson 4: Distances and Circles
1. Determine if a point lies on a circle 2. Derive equations of circles using the Pythagorean theorem Also consider: • Write equations of circles in standard form from graphs • Write equations of circles in standard form using properties • Graph circles from equations in standard form • Distance formula

Lesson 5: Squares and Circles		1. Perfect square quadratics
Lesson 5: Squares and Circles
1. Perfect square quadratics

Lesson 6: Completing the Square		1. Convert equations of circles from general to standard form 2. Find properties of circles from equations in general form Also consider: • Graph circles from equations in general form • Complete the square
Lesson 6: Completing the Square
1. Convert equations of circles from general to standard form 2. Find properties of circles from equations in general form Also consider: • Graph circles from equations in general form • Complete the square

Lesson 7: Distances and Parabolas		1. Find properties of a parabola from a graph
Lesson 7: Distances and Parabolas
1. Find properties of a parabola from a graph

Lesson 8: Equations and Graphs		1. Write equations of parabolas in vertex form using the focus and directrix Also consider: • Write equations of parabolas in vertex form from graphs • Graph parabolas
Lesson 8: Equations and Graphs
1. Write equations of parabolas in vertex form using the focus and directrix Also consider: • Write equations of parabolas in vertex form from graphs • Graph parabolas
Section C - Proving Geometric Theorems Algebraically
Lesson 9: Equations of Lines		1. Point-slope form: write an equation 2. Point-slope form: write an equation from a graph
Lesson 9: Equations of Lines
1. Point-slope form: write an equation 2. Point-slope form: write an equation from a graph

Lesson 10: Parallel Lines in the Plane		1. Equations of parallel lines
Lesson 10: Parallel Lines in the Plane
1. Equations of parallel lines

Lesson 11: Perpendicular Lines in the Plane		1. Equations of perpendicular lines
Lesson 11: Perpendicular Lines in the Plane
1. Equations of perpendicular lines

Lesson 12: It's All on the Line		1. Slopes of parallel and perpendicular lines 2. Equations of parallel and perpendicular lines
Lesson 12: It's All on the Line
1. Slopes of parallel and perpendicular lines 2. Equations of parallel and perpendicular lines

Lesson 13: Intersection Points		1. Solve a system of linear and quadratic equations: circles Also consider: • Solve a system of linear and quadratic equations by graphing: parabolas • Solve a system of linear and quadratic equations: parabolas
Lesson 13: Intersection Points
1. Solve a system of linear and quadratic equations: circles Also consider: • Solve a system of linear and quadratic equations by graphing: parabolas • Solve a system of linear and quadratic equations: parabolas

Lesson 14: Coordinate Proof		1. Classify shapes on the coordinate plane: justify your answer 2. Area and perimeter in the coordinate plane I
Lesson 14: Coordinate Proof
1. Classify shapes on the coordinate plane: justify your answer 2. Area and perimeter in the coordinate plane I

Lesson 15: Weighted Averages		1. Midpoint formula: find the midpoint 2. Partition a line segment in a given ratio Also consider: • Midpoint formula: find the endpoint
Lesson 15: Weighted Averages
1. Midpoint formula: find the midpoint 2. Partition a line segment in a given ratio Also consider: • Midpoint formula: find the endpoint

Lesson 16: Weighted Averages in a Triangle		1. Find the centroid of a triangle Also consider: • Construct the centroid of a triangle
Lesson 16: Weighted Averages in a Triangle
1. Find the centroid of a triangle Also consider: • Construct the centroid of a triangle

Lesson 17: Lines in Triangles		1. Identify medians, altitudes, angle bisectors, and perpendicular bisectors Also consider: • Construct the orthocenter of a triangle
Lesson 17: Lines in Triangles
1. Identify medians, altitudes, angle bisectors, and perpendicular bisectors Also consider: • Construct the orthocenter of a triangle
Section D - Let's Put It to Work
Lesson 18: Applying Area and Perimeter on the Plane		1. Area and perimeter in the coordinate plane II
Lesson 18: Applying Area and Perimeter on the Plane
1. Area and perimeter in the coordinate plane II

Checkpoint opportunity		Unit 6 1. Checkpoint: Partition a line segment 2. Checkpoint: Equations of circles 3. Checkpoint: Parallel and perpendicular lines 4. Checkpoint: Area and perimeter in the coordinate plane 5. Checkpoint: Coordinate proofs Units 1-6 6. Checkpoint: Transformations in the plane 7. Checkpoint: Congruence transformations 8. Checkpoint: Rigid motion and congruence 9. Checkpoint: Prove circles are similar 10. Checkpoint: Triangle theorems 11. Checkpoint: Similarity transformations
Checkpoint opportunity
Unit 6 1. Checkpoint: Partition a line segment 2. Checkpoint: Equations of circles 3. Checkpoint: Parallel and perpendicular lines 4. Checkpoint: Area and perimeter in the coordinate plane 5. Checkpoint: Coordinate proofs Units 1-6 6. Checkpoint: Transformations in the plane 7. Checkpoint: Congruence transformations 8. Checkpoint: Rigid motion and congruence 9. Checkpoint: Prove circles are similar 10. Checkpoint: Triangle theorems 11. Checkpoint: Similarity transformations

7	Unit 7 Circles
Section A - Lines, Angles, and Circles
Lesson 1: Lines, Angles, and Curves		1. Parts of a circle 2. Central angles and arc measures Also consider: • Arcs and chords
Lesson 1: Lines, Angles, and Curves
1. Parts of a circle 2. Central angles and arc measures Also consider: • Arcs and chords

Lesson 2: Inscribed Angles		1. Inscribed angles 2. Angles in inscribed right triangles Also consider: • Segments formed by chords, secants, and tangents
Lesson 2: Inscribed Angles
1. Inscribed angles 2. Angles in inscribed right triangles Also consider: • Segments formed by chords, secants, and tangents

Lesson 3: Tangent Lines		1. Construct a tangent line to a circle 2. Tangent lines Also consider: • Angles formed by chords, secants, and tangents
Lesson 3: Tangent Lines
1. Construct a tangent line to a circle 2. Tangent lines Also consider: • Angles formed by chords, secants, and tangents
Section B - Polygons and Circles
Lesson 4: Quadrilaterals in Circles		1. Angles in inscribed quadrilaterals I 2. Angles in inscribed quadrilaterals II
Lesson 4: Quadrilaterals in Circles
1. Angles in inscribed quadrilaterals I 2. Angles in inscribed quadrilaterals II

Lesson 5: Triangles in Circles		1. Construct the circumscribed circle and the circumcenter of a triangle
Lesson 5: Triangles in Circles
1. Construct the circumscribed circle and the circumcenter of a triangle

Lesson 6: A Special Point		1. Angle bisectors
Lesson 6: A Special Point
1. Angle bisectors

Lesson 7: Circles in Triangles		1. Construct the inscribed circle and the incenter of a triangle
Lesson 7: Circles in Triangles
1. Construct the inscribed circle and the incenter of a triangle
Section C - Measuring Circles
Lesson 8: Arcs and Sectors		1. Understand arc length and sector area of a circle
Lesson 8: Arcs and Sectors
1. Understand arc length and sector area of a circle

Lesson 9: Part to Whole		1. Arc length 2. Area of sectors
Lesson 9: Part to Whole
1. Arc length 2. Area of sectors

Lesson 10: Angles, Arcs, and Radii
Lesson 10: Angles, Arcs, and Radii


Lesson 11: A New Way to Measure Angles
Lesson 11: A New Way to Measure Angles


Lesson 12: Radian Sense		1. Convert between radians and degrees
Lesson 12: Radian Sense
1. Convert between radians and degrees

Lesson 13: Using Radians		1. Radians and arc length
Lesson 13: Using Radians
1. Radians and arc length
Section D - Let's Put It to Work
Lesson 14: Putting It All Together		1. Circle measurements: mixed review 2. Circles: word problems
Lesson 14: Putting It All Together
1. Circle measurements: mixed review 2. Circles: word problems

Checkpoint opportunity		Unit 7 1. Checkpoint: Angles and lines in circles 2. Checkpoint: Inscribed and circumscribed circles 3. Checkpoint: Arc length and area of sectors Units 1-7 4. Checkpoint: Geometric constructions 5. Checkpoint: Geometric modeling and design
Checkpoint opportunity
Unit 7 1. Checkpoint: Angles and lines in circles 2. Checkpoint: Inscribed and circumscribed circles 3. Checkpoint: Arc length and area of sectors Units 1-7 4. Checkpoint: Geometric constructions 5. Checkpoint: Geometric modeling and design

8	Unit 8 Conditional Probability
Section A - Up to Chance
Lesson 1: Up to Chance		1. Probability of simple events
Lesson 1: Up to Chance
1. Probability of simple events

Lesson 2: Playing with Probability		1. Sample spaces for compound events 2. Theoretical and experimental probability
Lesson 2: Playing with Probability
1. Sample spaces for compound events 2. Theoretical and experimental probability

Lesson 3: Sample Spaces		1. Probability of compound events Also consider: • Outcomes of compound events
Lesson 3: Sample Spaces
1. Probability of compound events Also consider: • Outcomes of compound events

Lesson 4: Tables of Relative Frequencies		1. Interpret two-way frequency tables
Lesson 4: Tables of Relative Frequencies
1. Interpret two-way frequency tables

Lesson 5: Combining Events
Lesson 5: Combining Events


Lesson 6: The Addition Rule		1. Find probabilities using the addition rule Also consider: • Find probabilities using two-way frequency tables
Lesson 6: The Addition Rule
1. Find probabilities using the addition rule Also consider: • Find probabilities using two-way frequency tables
Section B - Related Events
Lesson 7: Related Events		1. Identify independent and dependent events
Lesson 7: Related Events
1. Identify independent and dependent events

Lesson 8: Conditional Probability		1. Find conditional probabilities 2. Independence and conditional probability 3. Probability of independent and dependent events
Lesson 8: Conditional Probability
1. Find conditional probabilities 2. Independence and conditional probability 3. Probability of independent and dependent events

Lesson 9: Using Tables for Conditional Probability		1. Find conditional probabilities using two-way frequency tables
Lesson 9: Using Tables for Conditional Probability
1. Find conditional probabilities using two-way frequency tables

Lesson 10: Using Probability to Determine Whether Events Are Independent		1. Identify independent events
Lesson 10: Using Probability to Determine Whether Events Are Independent
1. Identify independent events
Section C - Let's Put It to Work
Lesson 11: Probabilities in Games
Lesson 11: Probabilities in Games


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

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