IXL skill plan | Geometry plan for SpringBoard Mathematics

Skill plan for SpringBoard Mathematics - Geometry

IXL provides skill alignments with recommended IXL skills for each unit. Find the IXL skills that are right for you below!

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1	Unit 1 Proof, Parallel and Perpendicular Lines
Activity 1 - Geometric Figures - What's My Name?
Lesson 1-1: Basic Geometric Figures		1. Lines, line segments, and rays 2. Angle vocabulary Also consider: • Properties of planes, lines, and points
Lesson 1-1: Basic Geometric Figures
1. Lines, line segments, and rays 2. Angle vocabulary Also consider: • Properties of planes, lines, and points

Lesson 1-2: More Geometric Figures		1. Identify complementary and supplementary angles 2. Classify angles 3. Parts of a circle: radii, diameters, and chords Also consider: • Find measures of complementary and supplementary angles
Lesson 1-2: More Geometric Figures
1. Identify complementary and supplementary angles 2. Classify angles 3. Parts of a circle: radii, diameters, and chords Also consider: • Find measures of complementary and supplementary angles
Activity 2 - Logical Reasoning - Riddle Me This
Lesson 2-1: Inductive Reasoning		1. Number sequences 2. Shape patterns
Lesson 2-1: Inductive Reasoning
1. Number sequences 2. Shape patterns

Lesson 2-2: Deductive Reasoning
Lesson 2-2: Deductive Reasoning

Activity 3 - The Axiomatic System of Geometry - Back to the Beginning
Lesson 3-1: Geometric Definitions and Two-Column Proofs
Lesson 3-1: Geometric Definitions and Two-Column Proofs


Lesson 3-2: Conditional Statements		1. Identify hypotheses and conclusions 2. Counterexamples 3. Conditionals
Lesson 3-2: Conditional Statements
1. Identify hypotheses and conclusions 2. Counterexamples 3. Conditionals

Lesson 3-3: Converse, Inverse, and Contrapositive		1. Converses, inverses, and contrapositives 2. Biconditionals Also consider: • Negations • Truth values
Lesson 3-3: Converse, Inverse, and Contrapositive
1. Converses, inverses, and contrapositives 2. Biconditionals Also consider: • Negations • Truth values
Activity 4 - Segment and Angle Measurement - It All Adds Up
Lesson 4-1: Segments and Midpoints		1. Lengths of segments on number lines 2. Additive property of length 3. Midpoints Also consider: • Congruent line segments
Lesson 4-1: Segments and Midpoints
1. Lengths of segments on number lines 2. Additive property of length 3. Midpoints Also consider: • Congruent line segments

Lesson 4-2: Angles and Angle Bisectors		1. Angle measures 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Find lengths and measures of bisected line segments and angles
Lesson 4-2: Angles and Angle Bisectors
1. Angle measures 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Find lengths and measures of bisected line segments and angles
Activity 5 - Distance and Midpoint Formulas - We heart Descartes
Lesson 5-1: Distance on the Coordinate Plane		1. Distance formula
Lesson 5-1: Distance on the Coordinate Plane
1. Distance formula

Lesson 5-2: Midpoint on the Coordinate Plane		1. Midpoint formula: find the midpoint 2. Midpoint formula: find the endpoint
Lesson 5-2: Midpoint on the Coordinate Plane
1. Midpoint formula: find the midpoint 2. Midpoint formula: find the endpoint
Activity 6 - Proofs About Line Segments and Angles - Now I'm Convinced
Lesson 6-1: Justifying Statements		1. Proofs involving angles: justify a statement
Lesson 6-1: Justifying Statements
1. Proofs involving angles: justify a statement

Lesson 6-2: Two-Column Geometric Proofs		1. Proofs involving angles
Lesson 6-2: Two-Column Geometric Proofs
1. Proofs involving angles
Activity 7 - Parallel and Perpendicular Lines - Patios by Madeline
Lesson 7-1: Parallel Lines and Angle Relationships		1. Transversals: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x
Lesson 7-1: Parallel Lines and Angle Relationships
1. Transversals: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x

Lesson 7-2: Proving Lines are Parallel		1. Proofs involving parallel lines I 2. Proofs involving parallel lines II
Lesson 7-2: Proving Lines are Parallel
1. Proofs involving parallel lines I 2. Proofs involving parallel lines II

Lesson 7-3: Perpendicular Lines
Lesson 7-3: Perpendicular Lines


Checkpoint opportunity		Activities 1-7 1. Checkpoint: Definitions of geometric objects
Checkpoint opportunity
Activities 1-7 1. Checkpoint: Definitions of geometric objects
Activity 8 - Equations of Parallel and Perpendicular Lines - Skateboard Geometry
Lesson 8-1: Slopes of Parallel and Perpendicular Lines		1. Slopes of parallel and perpendicular lines
Lesson 8-1: Slopes of Parallel and Perpendicular Lines
1. Slopes of parallel and perpendicular lines

Lesson 8-2: Writing Equations		1. Equations of parallel and perpendicular lines
Lesson 8-2: Writing Equations
1. Equations of parallel and perpendicular lines

2	Unit 2 Transformations, Triangles, and Quadrilaterals
Activity 9 - Translations, Reflections, and Rotations - The Marching Cougars
Lesson 9-1: Transformations
Lesson 9-1: Transformations


Lesson 9-2: Translations		1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule
Lesson 9-2: Translations
1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule

Lesson 9-3: Reflection		1. Reflections: graph the image 2. Reflections: find the coordinates 3. Perpendicular Bisector Theorem Also consider: • Line symmetry • Draw lines of symmetry • Count lines of symmetry
Lesson 9-3: Reflection
1. Reflections: graph the image 2. Reflections: find the coordinates 3. Perpendicular Bisector Theorem Also consider: • Line symmetry • Draw lines of symmetry • Count lines of symmetry

Lesson 9-4: Rotations		1. Rotations: graph the image 2. Rotations: find the coordinates 3. Transformations that carry a polygon onto itself Also consider: • Rotational symmetry • Rotate polygons about a point • Reflections and rotations: write the rule • Congruence transformations: mixed review
Lesson 9-4: Rotations
1. Rotations: graph the image 2. Rotations: find the coordinates 3. Transformations that carry a polygon onto itself Also consider: • Rotational symmetry • Rotate polygons about a point • Reflections and rotations: write the rule • Congruence transformations: mixed review
Activity 10 - Compositions and Congruence - More Rigid Motions
Lesson 10-1: Compositions of Transformations		1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: find the rules
Lesson 10-1: Compositions of Transformations
1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: find the rules

Lesson 10-2: Congruence		1. Determine if two figures are congruent: justify your answer Also consider: • Identify congruent figures
Lesson 10-2: Congruence
1. Determine if two figures are congruent: justify your answer Also consider: • Identify congruent figures

Checkpoint opportunity		1. Checkpoint: Congruence transformations
Checkpoint opportunity
1. Checkpoint: Congruence transformations
Activity 11 - Congruence Transformations and Triangle Congruence - Truss Your Judgment
Lesson 11-1: Congruent Triangles		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 11-1: Congruent Triangles
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 11-2: Congruence Criteria		1. SSS and SAS Theorems 2. ASA and AAS Theorems 3. SSS, SAS, ASA, and AAS Theorems
Lesson 11-2: Congruence Criteria
1. SSS and SAS Theorems 2. ASA and AAS Theorems 3. SSS, SAS, ASA, and AAS Theorems

Lesson 11-3: Proving and Applying the Congruence Criteria		1. Proving triangles congruent by SSS and SAS
Lesson 11-3: Proving and Applying the Congruence Criteria
1. Proving triangles congruent by SSS and SAS

Lesson 11-4: Extending the Congruence Criteria		1. SSS Theorem in the coordinate plane 2. Proving triangles congruent by ASA and AAS 3. Hypotenuse-Leg Theorem Also consider: • Proving triangles congruent by SSS, SAS, ASA, and AAS
Lesson 11-4: Extending the Congruence Criteria
1. SSS Theorem in the coordinate plane 2. Proving triangles congruent by ASA and AAS 3. Hypotenuse-Leg Theorem Also consider: • Proving triangles congruent by SSS, SAS, ASA, and AAS

Checkpoint opportunity		1. Checkpoint: Rigid motion and congruence
Checkpoint opportunity
1. Checkpoint: Rigid motion and congruence
Activity 12 - Flowchart Proofs - Go with the Flow
Lesson 12-1: Flowchart Proofs		1. Proofs involving corresponding parts of congruent triangles
Lesson 12-1: Flowchart Proofs
1. Proofs involving corresponding parts of congruent triangles

Lesson 12-2: Three Types of Proofs		1. Proofs involving triangles and quadrilaterals
Lesson 12-2: Three Types of Proofs
1. Proofs involving triangles and quadrilaterals
Activity 13 - Properties of Triangles - Best Two Out of Three
Lesson 13-1: Angle Relationships in Triangles		1. Triangle Angle-Sum Theorem 2. Exterior Angle Theorem 3. Proofs involving triangles I
Lesson 13-1: Angle Relationships in Triangles
1. Triangle Angle-Sum Theorem 2. Exterior Angle Theorem 3. Proofs involving triangles I

Lesson 13-2: Isosceles Triangles		1. Congruency in isosceles and equilateral triangles 2. Proofs involving isosceles triangles
Lesson 13-2: Isosceles Triangles
1. Congruency in isosceles and equilateral triangles 2. Proofs involving isosceles triangles
Activity 14 - Concurrent Segments in Triangles - What's the Point?
Lesson 14-1: Altitudes of a Triangle
Lesson 14-1: Altitudes of a Triangle


Lesson 14-2: Medians of a Triangle		1. Find the centroid of a triangle
Lesson 14-2: Medians of a Triangle
1. Find the centroid of a triangle

Lesson 14-3: Perpendicular Bisectors and Angle Bisectors of a Triangle		1. Identify medians, altitudes, angle bisectors, and perpendicular bisectors Also consider: • Angle bisectors
Lesson 14-3: Perpendicular Bisectors and Angle Bisectors of a Triangle
1. Identify medians, altitudes, angle bisectors, and perpendicular bisectors Also consider: • Angle bisectors

Checkpoint opportunity		Activities 1-14 1. Checkpoint: Line and angle theorems
Checkpoint opportunity
Activities 1-14 1. Checkpoint: Line and angle theorems
Activity 15 - Quadrilaterals and Their Properties - A 4-gon Hypothesis
Lesson 15-1: Kites and Triangle Midsegments		1. Properties of kites 2. Midsegments of triangles
Lesson 15-1: Kites and Triangle Midsegments
1. Properties of kites 2. Midsegments of triangles

Lesson 15-2: Trapezoids		1. Properties of trapezoids
Lesson 15-2: Trapezoids
1. Properties of trapezoids

Lesson 15-3: Parallelograms		1. Properties of parallelograms Also consider: • Find missing angles in quadrilaterals
Lesson 15-3: Parallelograms
1. Properties of parallelograms Also consider: • Find missing angles in quadrilaterals

Lesson 15-4: Rectangles, Rhombuses, and Squares		1. Properties of rectangles, rhombuses, and squares Also consider: • Classify quadrilaterals I • Classify quadrilaterals II
Lesson 15-4: Rectangles, Rhombuses, and Squares
1. Properties of rectangles, rhombuses, and squares Also consider: • Classify quadrilaterals I • Classify quadrilaterals II
Activity 16 - More About Quadrilaterals - A 4-gon Conclusion
Lesson 16-1: Proving a Quadrilateral is a Parallelogram		1. Proving a quadrilateral is a parallelogram
Lesson 16-1: Proving a Quadrilateral is a Parallelogram
1. Proving a quadrilateral is a parallelogram

Lesson 16-2: Proving a Quadrilateral is a Rectangle
Lesson 16-2: Proving a Quadrilateral is a Rectangle


Lesson 16-3: Proving a Quadrilateral is a Rhombus
Lesson 16-3: Proving a Quadrilateral is a Rhombus


Lesson 16-4: Proving a Quadrilateral is a Square		1. Classify quadrilaterals on the coordinate plane: justify your answer Also consider: • Review: properties of quadrilaterals • Proofs involving quadrilaterals • Graph quadrilaterals
Lesson 16-4: Proving a Quadrilateral is a Square
1. Classify quadrilaterals on the coordinate plane: justify your answer Also consider: • Review: properties of quadrilaterals • Proofs involving quadrilaterals • Graph quadrilaterals

Checkpoint opportunity		1. Checkpoint: Parallelogram theorems
Checkpoint opportunity
1. Checkpoint: Parallelogram theorems

3	Unit 3 Similarity and Trigonometry
Activity 17 - Dilations and Similarity Transformations - Scaling Up/Scaling Down
Lesson 17-1: Dilations		1. Dilations: graph the image 2. Dilations: find the scale factor Also consider: • Classify dilations • Dilations: find the coordinates • Dilations: find the scale factor and center of the dilation • Dilations: find length, perimeter, and area • Dilations and parallel lines
Lesson 17-1: Dilations
1. Dilations: graph the image 2. Dilations: find the scale factor Also consider: • Classify dilations • Dilations: find the coordinates • Dilations: find the scale factor and center of the dilation • Dilations: find length, perimeter, and area • Dilations and parallel lines

Lesson 17-2: Similarity Transformations		1. Similar triangles and similarity transformations
Lesson 17-2: Similarity Transformations
1. Similar triangles and similarity transformations

Lesson 17-3: Properties of Similar Figures		1. Similarity statements 2. Side lengths and angle measures in similar figures Also consider: • Perimeters of similar figures • Areas of similar figures • Identify similar figures
Lesson 17-3: Properties of Similar Figures
1. Similarity statements 2. Side lengths and angle measures in similar figures Also consider: • Perimeters of similar figures • Areas of similar figures • Identify similar figures

Checkpoint opportunity		Activity 17 1. Checkpoint: Dilations Activities 1-17 2. Checkpoint: Transformations in the plane
Checkpoint opportunity
Activity 17 1. Checkpoint: Dilations Activities 1-17 2. Checkpoint: Transformations in the plane
Activity 18 - Similar Triangles - Measuring Up
Lesson 18-1: Similarity Criteria		1. Similarity rules for triangles
Lesson 18-1: Similarity Criteria
1. Similarity rules for triangles

Lesson 18-2: Using Similarity Criteria		1. Prove similarity statements 2. Similar triangles and indirect measurement
Lesson 18-2: Using Similarity Criteria
1. Prove similarity statements 2. Similar triangles and indirect measurement

Lesson 18-3: Triangle Proportionality Theorem		1. Triangle Proportionality Theorem 2. Proofs involving triangles II
Lesson 18-3: Triangle Proportionality Theorem
1. Triangle Proportionality Theorem 2. Proofs involving triangles II

Checkpoint opportunity		Activities 1-18 1. Checkpoint: Triangle theorems 2. Checkpoint: Similarity transformations
Checkpoint opportunity
Activities 1-18 1. Checkpoint: Triangle theorems 2. Checkpoint: Similarity transformations
Activity 19 - Geometric Mean - Do You Mean It?
Lesson 19-1: The Right Triangle Altitude Theorem		1. Proofs involving similarity in right triangles
Lesson 19-1: The Right Triangle Altitude Theorem
1. Proofs involving similarity in right triangles

Lesson 19-2: The Geometric Mean		1. Similarity and altitudes in right triangles
Lesson 19-2: The Geometric Mean
1. Similarity and altitudes in right triangles
Activity 20 - The Pythagorean Theorem and Its Converse - Is That Right?
Lesson 20-1: Pythagorean Theorem		1. Prove the Pythagorean theorem 2. Pythagorean theorem
Lesson 20-1: Pythagorean Theorem
1. Prove the Pythagorean theorem 2. Pythagorean theorem

Lesson 20-2: Converse of the Pythagorean Theorem		1. Converse of the Pythagorean theorem 2. Pythagorean Inequality Theorems Also consider: • Triangle Inequality Theorem • Classify triangles on the coordinate plane: justify your answer
Lesson 20-2: Converse of the Pythagorean Theorem
1. Converse of the Pythagorean theorem 2. Pythagorean Inequality Theorems Also consider: • Triangle Inequality Theorem • Classify triangles on the coordinate plane: justify your answer

Checkpoint opportunity		Activities 1-20 1. Checkpoint: Triangle similarity and congruence
Checkpoint opportunity
Activities 1-20 1. Checkpoint: Triangle similarity and congruence
Activity 21 - Special Right Triangles - The Community Quilting Project
Lesson 21-1: 45°-45°-90° Triangles		1. 45-45-90 right triangles
Lesson 21-1: 45°-45°-90° Triangles
1. 45-45-90 right triangles

Lesson 21-2: 30°-60°-90° Triangles		1. 30-60-90 right triangles Also consider: • Special right triangles
Lesson 21-2: 30°-60°-90° Triangles
1. 30-60-90 right triangles Also consider: • Special right triangles
Activity 22 - Basic Trigonometric Relationships - The Sine of Things to Come
Lesson 22-1: Similar Right Triangles		1. Side lengths in similar triangles
Lesson 22-1: Similar Right Triangles
1. Side lengths in similar triangles

Lesson 22-2: Trigonometric Ratios		1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios with radicals: sin, cos, and tan 3. Find trigonometric functions using a calculator 4. Sine and cosine of complementary angles Also consider: • Find trigonometric functions of special angles • Trigonometric ratios in similar right triangles
Lesson 22-2: Trigonometric Ratios
1. Trigonometric ratios: sin, cos, and tan 2. Trigonometric ratios with radicals: sin, cos, and tan 3. Find trigonometric functions using a calculator 4. Sine and cosine of complementary angles Also consider: • Find trigonometric functions of special angles • Trigonometric ratios in similar right triangles

Lesson 22-3: Using Trigonometric Ratios		1. Trigonometric ratios: find a side length
Lesson 22-3: Using Trigonometric Ratios
1. Trigonometric ratios: find a side length

Lesson 22-4: Solving Right Triangles		1. Trigonometric ratios: find an angle measure 2. Solve a right triangle
Lesson 22-4: Solving Right Triangles
1. Trigonometric ratios: find an angle measure 2. Solve a right triangle

Checkpoint opportunity		1. Checkpoint: Right triangle trigonometry
Checkpoint opportunity
1. Checkpoint: Right triangle trigonometry
Activity 23 - The Law of Sines and Cosines - There Ought to Be a Law
Lesson 23-1: The Law of Sines		1. Law of Sines
Lesson 23-1: The Law of Sines
1. Law of Sines

Lesson 23-2: The Ambiguous Case
Lesson 23-2: The Ambiguous Case


Lesson 23-3: The Law of Cosines		1. Law of Cosines
Lesson 23-3: The Law of Cosines
1. Law of Cosines

Lesson 23-4: Solving Triangles		1. Solve a triangle
Lesson 23-4: Solving Triangles
1. Solve a triangle

4	Unit 4 Circles, Coordinates, and Constructions
Activity 24 - Tangents and Chords - Off On a Tangent
Lesson 24-1: Circle Basics		1. Parts of a circle 2. Tangent lines
Lesson 24-1: Circle Basics
1. Parts of a circle 2. Tangent lines

Lesson 24-2: Theorems About Chords		1. Segments formed by intersecting chords
Lesson 24-2: Theorems About Chords
1. Segments formed by intersecting chords

Lesson 24-3: Tangent Segments		1. Perimeter of polygons with an inscribed circle
Lesson 24-3: Tangent Segments
1. Perimeter of polygons with an inscribed circle
Activity 25 - Arcs and Angles - Coming Full Circle
Lesson 25-1: Arcs and Central Angles		1. Central angles and arc measures
Lesson 25-1: Arcs and Central Angles
1. Central angles and arc measures

Lesson 25-2: Inscribed Angles		1. Inscribed angles 2. Angles in inscribed right triangles 3. Angles in inscribed quadrilaterals I Also consider: • Angles in inscribed quadrilaterals II
Lesson 25-2: Inscribed Angles
1. Inscribed angles 2. Angles in inscribed right triangles 3. Angles in inscribed quadrilaterals I Also consider: • Angles in inscribed quadrilaterals II

Lesson 25-3: Angles Formed by Chords		1. Arcs and chords
Lesson 25-3: Angles Formed by Chords
1. Arcs and chords

Lesson 25-4: Angles Formed by Tangents and Secants		1. Angles formed by pairs of chords, secants, or tangents Also consider: • Angles formed by tangents and chords or secants • Segments formed by intersecting secants or tangents
Lesson 25-4: Angles Formed by Tangents and Secants
1. Angles formed by pairs of chords, secants, or tangents Also consider: • Angles formed by tangents and chords or secants • Segments formed by intersecting secants or tangents

Checkpoint opportunity		1. Checkpoint: Angles and lines in circles
Checkpoint opportunity
1. Checkpoint: Angles and lines in circles
Activity 26 - Coordinate Proofs - Prove It!
Lesson 26-1: Proving the Midpoint Formula
Lesson 26-1: Proving the Midpoint Formula


Lesson 26-2: Proofs About Slope
Lesson 26-2: Proofs About Slope


Lesson 26-3: Proving Concurrency of Medians		1. Triangles and bisectors
Lesson 26-3: Proving Concurrency of Medians
1. Triangles and bisectors

Lesson 26-4: Points Along a Line Segment		1. Partition a line segment in a given ratio
Lesson 26-4: Points Along a Line Segment
1. Partition a line segment in a given ratio

Checkpoint opportunity		Activities 1-26 1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Partition a line segment
Checkpoint opportunity
Activities 1-26 1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Partition a line segment
Activity 27 - Equation of a Circle - Round and Round
Lesson 27-1: Circles on the Coordinate Plane		1. Determine if a point lies on a circle 2. Write equations of circles in standard form from graphs 3. Write equations of circles in standard form using properties Also consider: • Derive equations of circles using the Pythagorean theorem • Find the center of a circle • Find the radius or diameter of a circle
Lesson 27-1: Circles on the Coordinate Plane
1. Determine if a point lies on a circle 2. Write equations of circles in standard form from graphs 3. Write equations of circles in standard form using properties Also consider: • Derive equations of circles using the Pythagorean theorem • Find the center of a circle • Find the radius or diameter of a circle

Lesson 27-2: Completing the Square to Find the Center and Radius of a Circle		1. Convert equations of circles from general to standard form 2. Find properties of circles from equations in general form Also consider: • Complete the square
Lesson 27-2: Completing the Square to Find the Center and Radius of a Circle
1. Convert equations of circles from general to standard form 2. Find properties of circles from equations in general form Also consider: • Complete the square

Checkpoint opportunity		Activity 27 1. Checkpoint: Equations of circles Activities 1-27 2. Checkpoint: Coordinate proofs
Checkpoint opportunity
Activity 27 1. Checkpoint: Equations of circles Activities 1-27 2. Checkpoint: Coordinate proofs
Activity 28 - Equations of Parabolas - Throwing a Curve
Lesson 28-1: Parabolas on the Coordinate Plane		1. Write equations of parabolas in vertex form using the focus and directrix
Lesson 28-1: Parabolas on the Coordinate Plane
1. Write equations of parabolas in vertex form using the focus and directrix

Lesson 28-2: Parabolas with Vertex (h, k)		1. Write equations of parabolas in vertex form using properties Also consider: • Find the vertex of a parabola • Find the focus or directrix of a parabola • Graph parabolas • Write equations of parabolas in vertex form from graphs • Find properties of a parabola from equations in general form
Lesson 28-2: Parabolas with Vertex (h, k)
1. Write equations of parabolas in vertex form using properties Also consider: • Find the vertex of a parabola • Find the focus or directrix of a parabola • Graph parabolas • Write equations of parabolas in vertex form from graphs • Find properties of a parabola from equations in general form

Checkpoint opportunity		1. Checkpoint: Equations of parabolas
Checkpoint opportunity
1. Checkpoint: Equations of parabolas
Activity 29 - Constructions - Constructive Thinking
Lesson 29-1: Constructions with Segments and Angles		1. Construct a congruent segment 2. Construct a congruent angle 3. Construct the midpoint or perpendicular bisector of a segment 4. Construct an angle bisector
Lesson 29-1: Constructions with Segments and Angles
1. Construct a congruent segment 2. Construct a congruent angle 3. Construct the midpoint or perpendicular bisector of a segment 4. Construct an angle bisector

Lesson 29-2: Constructions with Parallel and Perpendicular Lines		1. Construct parallel lines 2. Construct a perpendicular line
Lesson 29-2: Constructions with Parallel and Perpendicular Lines
1. Construct parallel lines 2. Construct a perpendicular line

Lesson 29-3: Constructions with Circles		1. Construct an equilateral triangle inscribed in a circle 2. Construct a square inscribed in a circle 3. Construct a regular hexagon inscribed in a circle 4. Construct the inscribed or circumscribed circle of a triangle 5. Construct a tangent line to a circle Also consider: • Construct the circumcenter or incenter of a triangle • Construct an equilateral triangle or regular hexagon
Lesson 29-3: Constructions with Circles
1. Construct an equilateral triangle inscribed in a circle 2. Construct a square inscribed in a circle 3. Construct a regular hexagon inscribed in a circle 4. Construct the inscribed or circumscribed circle of a triangle 5. Construct a tangent line to a circle Also consider: • Construct the circumcenter or incenter of a triangle • Construct an equilateral triangle or regular hexagon

Checkpoint opportunity		Activity 29 1. Checkpoint: Geometric constructions Activities 1-29 2. Checkpoint: Inscribed and circumscribed circles
Checkpoint opportunity
Activity 29 1. Checkpoint: Geometric constructions Activities 1-29 2. Checkpoint: Inscribed and circumscribed circles

5	Unit 5 Extending Two Dimensions to Three Dimensions
Activity 30 - Deriving Area Formulas - Shape Up
Lesson 30-1: Areas of Rectangles and Parallelograms		1. Area of rectangles and squares 2. Area of compound figures made of rectangles 3. Area of parallelograms Also consider: • Understanding area of a parallelogram
Lesson 30-1: Areas of Rectangles and Parallelograms
1. Area of rectangles and squares 2. Area of compound figures made of rectangles 3. Area of parallelograms Also consider: • Understanding area of a parallelogram

Lesson 30-2: Areas of Triangles		1. Area of triangles 2. Area and perimeter in the coordinate plane II 3. Area of a triangle: sine formula Also consider: • Understanding area of a triangle • Area and perimeter in the coordinate plane I • Area of a triangle: Law of Sines
Lesson 30-2: Areas of Triangles
1. Area of triangles 2. Area and perimeter in the coordinate plane II 3. Area of a triangle: sine formula Also consider: • Understanding area of a triangle • Area and perimeter in the coordinate plane I • Area of a triangle: Law of Sines

Lesson 30-3: Areas of Rhombuses and Trapezoids		1. Area of rhombuses 2. Area of trapezoids 3. Area of compound figures with rectangles and triangles Also consider: • Understanding area of a trapezoid • Calculate density, mass, and volume
Lesson 30-3: Areas of Rhombuses and Trapezoids
1. Area of rhombuses 2. Area of trapezoids 3. Area of compound figures with rectangles and triangles Also consider: • Understanding area of a trapezoid • Calculate density, mass, and volume

Checkpoint opportunity		Activities 1-30 1. Checkpoint: Area and perimeter in the coordinate plane 2. Checkpoint: Trigonometry
Checkpoint opportunity
Activities 1-30 1. Checkpoint: Area and perimeter in the coordinate plane 2. Checkpoint: Trigonometry
Activity 31 - Regular Polygons - Plenty of Polygons
Lesson 31-1: Sum of the Measures of the Interior Angles of a Polygon		1. Interior angles of polygons
Lesson 31-1: Sum of the Measures of the Interior Angles of a Polygon
1. Interior angles of polygons

Lesson 31-2: Regular Polygons and Exterior Angles		1. Exterior angles of polygons 2. Review: interior and exterior angles of polygons
Lesson 31-2: Regular Polygons and Exterior Angles
1. Exterior angles of polygons 2. Review: interior and exterior angles of polygons

Lesson 31-3: Area and Perimeter of Regular Polygons		1. Area of regular polygons
Lesson 31-3: Area and Perimeter of Regular Polygons
1. Area of regular polygons
Activity 32 - Length and Area of Circles - Pi in the Sky
Lesson 32-1: Circumference and Area of a Circle		1. Area and circumference of circles
Lesson 32-1: Circumference and Area of a Circle
1. Area and circumference of circles

Lesson 32-2: Sectors and Arcs		1. Understand arc length and sector area of a circle 2. Area of sectors 3. Arc length
Lesson 32-2: Sectors and Arcs
1. Understand arc length and sector area of a circle 2. Area of sectors 3. Arc length

Lesson 32-3: Circles and Similarity		1. Similarity of circles 2. Convert between radians and degrees Also consider: • Radians and arc length
Lesson 32-3: Circles and Similarity
1. Similarity of circles 2. Convert between radians and degrees Also consider: • Radians and arc length

Checkpoint opportunity		1. Checkpoint: Prove circles are similar 2. Checkpoint: Arc length and area of sectors
Checkpoint opportunity
1. Checkpoint: Prove circles are similar 2. Checkpoint: Arc length and area of sectors
Activity 33 - Three-Dimensional Figures - What's Your View?
Lesson 33-1: Prisms and Pyramids		1. Count vertices, edges, and faces 2. Front, side, and top views of irregular figures
Lesson 33-1: Prisms and Pyramids
1. Count vertices, edges, and faces 2. Front, side, and top views of irregular figures

Lesson 33-2: Cylinders and Cones		1. Parts of three-dimensional figures 2. Nets of three-dimensional figures
Lesson 33-2: Cylinders and Cones
1. Parts of three-dimensional figures 2. Nets of three-dimensional figures

Lesson 33-3: Spheres and Solids of Rotation		1. Cross sections of three-dimensional figures 2. Solids of revolution
Lesson 33-3: Spheres and Solids of Rotation
1. Cross sections of three-dimensional figures 2. Solids of revolution
Activity 34 - Prisms and Cylinders - Exterior Experiences
Lesson 34-1: Surface Area of Prisms and Cylinders		1. Lateral area of prisms and cylinders 2. Surface area of prisms and cylinders
Lesson 34-1: Surface Area of Prisms and Cylinders
1. Lateral area of prisms and cylinders 2. Surface area of prisms and cylinders

Lesson 34-2: Volume of Prisms and Cylinders		1. Volume of prisms and cylinders Also consider: • Surface area and volume of prisms and cylinders: changes in scale
Lesson 34-2: Volume of Prisms and Cylinders
1. Volume of prisms and cylinders Also consider: • Surface area and volume of prisms and cylinders: changes in scale
Activity 35 - Pyramids and Cones - Perfect Packaging
Lesson 35-1: Surface Area of Pyramids and Cones		1. Lateral area of pyramids and cones 2. Surface area of pyramids and cones
Lesson 35-1: Surface Area of Pyramids and Cones
1. Lateral area of pyramids and cones 2. Surface area of pyramids and cones

Lesson 35-2: Volume of Pyramids and Cones		1. Volume of pyramids and cones
Lesson 35-2: Volume of Pyramids and Cones
1. Volume of pyramids and cones

Lesson 35-3: Density
Lesson 35-3: Density


Checkpoint opportunity		1. Checkpoint: Density
Checkpoint opportunity
1. Checkpoint: Density
Activity 36 - Spheres - Isn't That Spatial?
Lesson 36-1: Surface Area of Spheres		1. Surface area of spheres
Lesson 36-1: Surface Area of Spheres
1. Surface area of spheres

Lesson 36-2: Volume of Spheres		1. Volume of spheres
Lesson 36-2: Volume of Spheres
1. Volume of spheres

Lesson 36-3: Spherical Geometry
Lesson 36-3: Spherical Geometry


Checkpoint opportunity		Activities 1-36 1. Checkpoint: Volume 2. Checkpoint: Cross sections and solids of revolution
Checkpoint opportunity
Activities 1-36 1. Checkpoint: Volume 2. Checkpoint: Cross sections and solids of revolution
Activity 37 - Changing Dimensions - Model Behavior
Lesson 37-1: Cubes and Spheres		1. Surface area and volume of similar cubes and spheres
Lesson 37-1: Cubes and Spheres
1. Surface area and volume of similar cubes and spheres

Lesson 37-2: Pyramids and Cylinders		1. Surface area and volume of similar pyramids and cylinders Also consider: • Area and perimeter of similar figures • Surface area and volume of similar solids
Lesson 37-2: Pyramids and Cylinders
1. Surface area and volume of similar pyramids and cylinders Also consider: • Area and perimeter of similar figures • Surface area and volume of similar solids

Checkpoint opportunity		Activities 1-37 1. Checkpoint: Geometric modeling and design
Checkpoint opportunity
Activities 1-37 1. Checkpoint: Geometric modeling and design

6	Unit 6 Probability
Activity 38 - Sample Spaces - Springboard Superstar and More
Lesson 38-1: Probability of a Single Event		1. Probability of simple events and opposite events
Lesson 38-1: Probability of a Single Event
1. Probability of simple events and opposite events

Lesson 38-2: Events Involving "And" and "Or"		1. Theoretical probability 2. Find probabilities using two-way frequency tables Also consider: • Interpret two-way frequency tables
Lesson 38-2: Events Involving "And" and "Or"
1. Theoretical probability 2. Find probabilities using two-way frequency tables Also consider: • Interpret two-way frequency tables
Activity 39 - Venn Diagrams and Probability Notation - Annabel High School
Lesson 39-1: Using a Venn Diagram to Represent a Sample Space		1. Use Venn diagrams to solve problems
Lesson 39-1: Using a Venn Diagram to Represent a Sample Space
1. Use Venn diagrams to solve problems

Lesson 39-2: Using Venn Diagrams to Represent "And," "Or," and "Not"
Lesson 39-2: Using Venn Diagrams to Represent "And," "Or," and "Not"

Activity 40 - Addition Rule and Mutually Exclusive Events - Hector St.
Lesson 40-1: Applying the Addition Rule		1. Find probabilities using the addition rule
Lesson 40-1: Applying the Addition Rule
1. Find probabilities using the addition rule

Lesson 40-2: Adapting the Addition Rule for Mutually Exclusive Events		1. Probability of mutually exclusive events and overlapping events
Lesson 40-2: Adapting the Addition Rule for Mutually Exclusive Events
1. Probability of mutually exclusive events and overlapping events
Activity 41 - Dependent Events - Coco Wildlife Conservation Trust
Lesson 41-1: Understanding Conditional Probability		1. Find conditional probabilities using two-way frequency tables
Lesson 41-1: Understanding Conditional Probability
1. Find conditional probabilities using two-way frequency tables

Lesson 41-2: The Conditional Probability Formula		1. Find conditional probabilities
Lesson 41-2: The Conditional Probability Formula
1. Find conditional probabilities

Lesson 41-3: Tree Diagrams		1. Compound events and conditional probability
Lesson 41-3: Tree Diagrams
1. Compound events and conditional probability
Activity 42 - Independent Events - The Caribou, the Bear, and the Tyrannosaurus
Lesson 42-1: The Multiplication Rule		1. Identify independent events 2. Independence and conditional probability 3. Probability of independent and dependent events Also consider: • Identify independent and dependent events
Lesson 42-1: The Multiplication Rule
1. Identify independent events 2. Independence and conditional probability 3. Probability of independent and dependent events Also consider: • Identify independent and dependent events

Lesson 42-2: Geometric Probability		1. Geometric probability
Lesson 42-2: Geometric Probability
1. Geometric probability

Lesson 42-3: Permutations and Combinations		1. Permutations 2. Permutation and combination notation 3. Find probabilities using combinations and permutations Also consider: • Counting principle
Lesson 42-3: Permutations and Combinations
1. Permutations 2. Permutation and combination notation 3. Find probabilities using combinations and permutations Also consider: • Counting principle

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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