The full high school geometry curriculum

Covers HSG.CO.A.1 · HSG.MG.A.1 · HSG.MG.A.3

• Introduction to Points, Lines, and Planes

  Free lesson

  Students will be able to define and differentiate points, lines, and planes.

  beginner · 15 min · HSG.CO.A.1

• Points, Lines, and Planes: Worked Examples

  Free lesson

  Students will be able to identify and represent points, lines, and planes.

  beginner · 20 min · HSG.CO.A.1

• Line Segments and Rays

  Free lesson

  Define line segments and rays, distinguish them from lines, and use correct notation.

  beginner · 15 min · HSG.CO.A.1

• Distance Along a Line

  Free lesson

  Calculate distance along a line using the number line formula and the distance formula.

  intermediate · 20 min · HSG.MG.A.1

• Midpoint of a Line Segment

  Free lesson

  Find the midpoint of a segment using the midpoint formula on a number line and in the coordinate plane.

  intermediate · 20 min · HSG.MG.A.1

• Understanding Angles

  Define an angle precisely, identify its parts, and classify angles by measure.

  beginner · 20 min · HSG.CO.A.1

• Understanding Angles and Their Types

  Students will be able to classify angles by their measures.

  beginner · 20 min · HSG.CO.A.1

• Vertical Angles Theorem

  Prove the Vertical Angles Theorem and apply it to find unknown angle measures.

  intermediate · 25 min · HSG.CO.A.1

• Angle Pair Relationships: Complementary and Supplementary

  Prove theorems about complementary and supplementary angles and apply them to solve problems.

  intermediate · 25 min · HSG.CO.A.1

• Perpendicular Lines

  Define perpendicular lines precisely and identify them in diagrams and real-world contexts.

  beginner · 15 min · HSG.CO.A.1

• Parallel Lines

  Define parallel lines precisely and distinguish them from skew lines.

  beginner · 15 min · HSG.CO.A.1

• Understanding Parallel and Perpendicular Lines

  Students will be able to identify and analyze parallel and perpendicular lines.

  intermediate · 20 min · HSG.CO.A.1

• Parallel and Perpendicular Lines

  Students will be able to identify and formulate equations for parallel and perpendicular lines.

  intermediate · 25 min · HSG.CO.A.1

• Proving Theorems About Parallel Lines and Transversals

  Prove theorems about angles formed by parallel lines and transversals.

  advanced · 30 min · HSG.CO.A.1

• Proving Theorems About Perpendicular Lines

  Prove theorems about perpendicular lines and apply them in geometric reasoning.

  advanced · 30 min · HSG.CO.A.1

• Introduction to Geometric Constructions

  Understand the purpose and tools of geometric constructions per G.CO.D.12.

  beginner · 15 min · HSG.MG.A.3

• Copying a Segment with Compass and Straightedge

  Construct a copy of a given line segment using compass and straightedge.

  intermediate · 20 min · HSG.MG.A.3

• Copying an Angle with Compass and Straightedge

  Construct a copy of a given angle using compass and straightedge.

  intermediate · 20 min · HSG.MG.A.3

• Bisecting a Segment: The Perpendicular Bisector

  Construct a perpendicular bisector of a given segment using compass and straightedge.

  intermediate · 20 min · HSG.MG.A.3

• Bisecting an Angle

  Construct an angle bisector using compass and straightedge.

  intermediate · 20 min · HSG.MG.A.3

• Constructing Perpendicular Lines

  Construct a perpendicular line through a given point, both on and off the line.

  intermediate · 25 min · HSG.MG.A.3

• Constructing Parallel Lines

  Construct a line parallel to a given line through a given point.

  intermediate · 25 min · HSG.MG.A.3

• Constructing a Perpendicular Bisector: Deep Dive

  Construct a perpendicular bisector and apply its equidistant property.

  intermediate · 20 min · HSG.MG.A.3

• Constructing an Equilateral Triangle

  Construct an equilateral triangle from a given segment using compass and straightedge.

  intermediate · 20 min · HSG.MG.A.3

• Constructing a Square

  Construct a square using compass and straightedge by combining perpendicular and parallel constructions.

  advanced · 25 min · HSG.MG.A.3

• Identifying Triangles and Their Types

  Students will be able to classify triangles based on their sides and angles.

  intermediate · 30 min · HSG.MG.A.1

• Investigating Triangles and Their Properties

  Students will be able to classify and calculate properties of different types of triangles.

  intermediate · 25 min · HSG.MG.A.1

• The Pythagorean Theorem Unveiled

  Students will be able to apply the Pythagorean theorem to find missing side lengths in right triangles.

  intermediate · 25 min · HSG.MG.A.1

• Discovering the Pythagorean Theorem

  Students will be able to apply the Pythagorean theorem to find unknown side lengths in right triangles.

  intermediate · 25 min · HSG.MG.A.1

• Exploring Quadrilaterals: Types and Properties

  Students will be able to distinguish among different types of quadrilaterals and calculate their areas.

  intermediate · 30 min · HSG.MG.A.1

• Polygons: Types and Area Calculation

  Students will be able to identify polygon types and calculate their areas.

  advanced · 30 min · HSG.MG.A.1

• Measuring Area and Perimeter of Shapes

  Students will be able to calculate area and perimeter for various geometric shapes.

  intermediate · 30 min · HSG.MG.A.1

• Circles: Definition and Key Terms

  Define a circle precisely and identify its key parts including radius, diameter, chord, and arc.

  beginner · 20 min · HSG.CO.A.1

• Exploring Circles: Radius, Diameter, and Area

  Students will be able to calculate the radius, diameter, and area of circles.

  advanced · 30 min · HSG.MG.A.1

• Circles: Properties and Theorems

  Students will be able to calculate the radius, diameter, and circumference of circles.

  intermediate · 20 min · HSG.MG.A.1

• Distance Around a Circular Arc

  Calculate the distance around a circular arc using the arc length formula.

  intermediate · 20 min · HSG.MG.A.1

• Transformations: Translations, Rotations, and Reflections

  Students will be able to perform and describe geometric transformations.

  advanced · 30 min · HSG.MG.A.1

• Introduction to Congruence and Similarity

  Students will be able to distinguish between congruence and similarity in geometric shapes.

  advanced · 30 min · HSG.MG.A.1

• Partitioning Segments in Given Ratios

  Find a point that partitions a segment in a given ratio using the section formula.

  intermediate · 25 min · HSG.MG.A.1

• Finding Points Using the Section Formula

  Find a point on a directed line segment that partitions it in a given ratio.

  advanced · 25 min · HSG.MG.A.1

• Applications of Directed Line Segments

  Apply the partition formula to solve real-world problems with directed line segments.

  advanced · 25 min · HSG.MG.A.3

Covers HSG.CO.A.1 · HSG.CO.C.9

• Measuring Angles

  Measure angles using a protractor and classify them.

  beginner · 20 min · HSG.CO.A.1 · HSG.CO.C.9

Covers HSG.CO.A.1 · HSG.GPE.B.5 · HSG.CO.C.9

• Introduction to Parallel Lines

  Students will be able to identify parallel lines and their slopes.

  beginner · 15 min · HSG.CO.A.1 · HSG.GPE.B.5

• Transversals and Parallel Lines

  Students will be able to identify and calculate angle measures formed by transversals.

  beginner · 20 min · HSG.CO.C.9

• Identifying Perpendicular Lines

  Students will be able to determine if lines are perpendicular by analyzing slopes.

  intermediate · 25 min · HSG.CO.A.1 · HSG.GPE.B.5

• Finding Equations of Parallel Lines

  Students will be able to write equations for lines parallel to a given line.

  intermediate · 20 min · HSG.GPE.B.5

• Finding Equations of Perpendicular Lines

  Students will be able to develop equations for lines perpendicular to a given line.

  intermediate · 25 min · HSG.GPE.B.5

• Angle Relationships with Parallel Lines

  Students will be able to solve for unknown angles with parallel lines cut by a transversal.

  intermediate · 20 min · HSG.CO.C.9

• Slope-Intercept Form Review

  Students will be able to transform and manipulate equations in slope-intercept form for parallel and perpendicular lines.

  intermediate · 25 min · HSG.GPE.B.5

• Real-World Applications of Parallel and Perpendicular Lines

  Students will be able to identify and apply properties of parallel and perpendicular lines in real-world scenarios.

  advanced · 30 min · HSG.CO.C.9 · HSG.GPE.B.5

• Understanding Parallel Lines

  Students will be able to identify and represent parallel lines.

  beginner · 15 min · HSG.CO.A.1

• Exploring Perpendicular Lines

  Students will be able to identify and calculate the slopes of perpendicular lines.

  beginner · 15 min · HSG.CO.A.1 · HSG.GPE.B.5

• Identifying Parallel and Perpendicular Lines

  Students will be able to classify lines as parallel or perpendicular.

  intermediate · 20 min · HSG.CO.A.1 · HSG.GPE.B.5

• Finding Missing Angles in Parallel Lines

  Students will be able to calculate missing angles formed by parallel lines and a transversal.

  intermediate · 25 min · HSG.CO.C.9

• Applying Concepts with Transversals

  Students will apply their understanding to find angles created by transversals intersecting parallel lines.

  intermediate · 30 min · HSG.CO.C.9

• The Using Slopes to Determine Lines

  Students will be able to calculate slopes and determine relationships of lines.

  advanced · 30 min · HSG.GPE.B.5

• Graphing Parallel and Perpendicular Lines

  Students will graph parallel and perpendicular lines on a coordinate plane.

  advanced · 30 min · HSG.GPE.B.5

• Real-Life Applications of Parallel and Perpendicular Lines

  Students will apply geometric properties of parallel and perpendicular lines to real-world scenarios.

  advanced · 30 min · HSG.CO.C.9 · HSG.GPE.B.5

Covers HSG.CO.A.4 · HSG.CO.A.5 · HSG.CO.A.2

• Mastering Reflections

  Students will be able to perform reflections of geometric shapes and points.

  intermediate · 25 min · HSG.CO.A.4 · HSG.CO.A.5

• Exploring Rotations

  Students will be able to rotate points and shapes around a fixed point.

  intermediate · 30 min · HSG.CO.A.4 · HSG.CO.A.5

• Understanding Dilations

  Students will be able to apply dilations to points and shapes using different scale factors.

  intermediate · 20 min · HSG.CO.A.2

• Combining Transformations

  Students will be able to apply and combine multiple transformations to geometric shapes systematically.

  advanced · 30 min · HSG.CO.A.2 · HSG.CO.A.5

• Real-Life Applications of Transformations

  Students will be able to identify and describe real-world applications of transformations.

  advanced · 25 min · HSG.CO.A.2

• Exploring the Composition of Transformations

  Students will be able to effectively compose and analyze multiple transformations, understanding their cumulative effects.

  advanced · 30 min · HSG.CO.A.2 · HSG.CO.A.5

• Introduction to Transformations

  Students will be able to identify and perform basic transformations.

  beginner · 20 min · HSG.CO.A.4 · HSG.CO.A.5

• Understanding Translations

  Students will be able to translate shapes using coordinate rules.

  beginner · 15 min · HSG.CO.A.4 · HSG.CO.A.5

• Exploring Reflections

  Students will be able to reflect shapes across various lines.

  intermediate · 25 min · HSG.CO.A.4 · HSG.CO.A.5

• Understanding Rotations

  Students will be able to rotate shapes around a point.

  intermediate · 20 min · HSG.CO.A.4 · HSG.CO.A.5

• Applying Dilations

  Students will be able to apply dilations to geometric figures.

  intermediate · 25 min · HSG.CO.A.2

• Transformations in Real Life

  Students will be able to identify transformations in real-life scenarios.

  advanced · 30 min · HSG.CO.A.2

• Transformations Quiz

  Students will be able to demonstrate knowledge of transformations through assessment.

  advanced · 30 min · HSG.CO.A.2 · HSG.CO.A.4 · HSG.CO.A.5

Covers HSG.SRT.B.5 · HSG.CO.A.1 · HSG.CO.C.10

• Pythagorean Theorem

  Use the Pythagorean theorem to find missing side lengths.

  intermediate · 30 min · HSG.SRT.B.5

• Triangles: Types and Properties

  Equilateral, isosceles, scalene, right triangles and their defining properties.

  intermediate · 30 min · HSG.CO.A.1 · HSG.CO.C.10

• Triangle Angle Sum Theorem

  Why the interior angles of any triangle always add up to 180 degrees.

  beginner · 20 min · HSG.CO.C.10

• Triangle Congruence Criteria

  SSS, SAS, ASA, and AAS — the shortcuts for proving two triangles are congruent.

  intermediate · 35 min · HSG.SRT.B.5

Covers HSG.CO.B.8 · HSG.CO.B.6 · HSG.CO.B.7 · HSG.CO.C.10

• Exploring SSS Congruence Theorem

  Students will be able to apply the SSS theorem to determine triangle congruence.

  intermediate · 20 min · HSG.CO.B.8

• Understanding SAS Congruence Theorem

  Students will be able to use the SAS theorem to identify triangle congruence.

  intermediate · 20 min · HSG.CO.B.8

• Angle-Side-Angle (ASA) Congruence Theorem

  Students will be able to apply the ASA theorem to assess triangle congruence.

  intermediate · 20 min · HSG.CO.B.8

• Angle-Angle-Side (AAS) Congruence Theorem

  Students will be able to use the AAS theorem to determine triangle congruence.

  intermediate · 20 min · HSG.CO.B.8

• Identifying Triangle Similarity and Congruence

  Students will be able to differentiate between triangle similarity and congruence.

  intermediate · 20 min · HSG.CO.B.6 · HSG.CO.B.7

• Applications of Triangle Congruence in Real Life

  Students will be able to identify real-world applications of triangle congruence.

  advanced · 30 min · HSG.CO.B.7

• Introduction to Triangle Congruence

  Students will be able to identify and define triangle congruence.

  beginner · 15 min · HSG.CO.B.6 · HSG.CO.B.7

• Criteria for Triangle Congruence: SSS

  Students will be able to apply the SSS postulate for triangle congruence.

  intermediate · 25 min · HSG.CO.B.8

• Criteria for Triangle Congruence: SAS

  Students will be able to apply the SAS postulate for triangle congruence.

  intermediate · 20 min · HSG.CO.B.8

• Criteria for Triangle Congruence: ASA

  Students will be able to apply the ASA postulate for triangle congruence.

  intermediate · 30 min · HSG.CO.B.8

• Understanding Isosceles Triangles

  Students will be able to analyze congruence in isosceles triangles.

  intermediate · 20 min · HSG.CO.C.10

• Exploring Equilateral Triangles

  Students will be able to apply knowledge of congruence in equilateral triangles.

  intermediate · 25 min · HSG.CO.C.10

• Proving Triangle Congruence with CPCTC

  Students will be able to apply CPCTC to prove triangle congruence.

  advanced · 30 min · HSG.CO.B.7

• Advanced Congruence Applications in Real Life

  Students will be able to recognize and apply triangle congruence in real-life scenarios.

  advanced · 30 min · HSG.CO.B.7

Covers HSG.SRT.B.5 · HSG.CO.C.10 · HSG.SRT.B.4

• Understanding Triangle Types

  Students will be able to classify triangles based on sides and angles.

  beginner · 15 min · HSG.SRT.B.5

• Triangle Sum Theorem

  Students will be able to calculate missing angles in a triangle using the Triangle Sum Theorem.

  beginner · 15 min · HSG.CO.C.10

• Understanding Congruent Triangles

  Students will be able to determine if triangles are congruent using various criteria.

  intermediate · 20 min · HSG.SRT.B.5

• Exploring Similar Triangles

  Students will be able to identify and prove triangle similarity using various criteria.

  intermediate · 20 min · HSG.SRT.B.4 · HSG.SRT.B.5

• The Pythagorean Theorem

  Students will be able to apply the Pythagorean theorem to find missing side lengths in right triangles.

  intermediate · 25 min · HSG.SRT.B.4

• Finding Area of Triangles

  Students will be able to calculate the area of triangles using the appropriate method.

  beginner · 15 min · HSG.SRT.B.5

• Exploring the Circumcircle

  Students will be able to determine the circumradius of triangles given their side lengths.

  advanced · 25 min · HSG.SRT.B.5

• Incentre and Excentre of Triangles

  Students will be able to locate the incentre and excentres of triangles.

  advanced · 30 min · HSG.SRT.B.5

• Exploring Triangle Inequalities

  Students will be able to apply triangle inequalities to determine the feasibility of triangle formation.

  advanced · 25 min · HSG.CO.C.10

• Introduction to Triangle Basics

  Students will be able to classify triangles based on their sides and angles.

  beginner · 15 min · HSG.SRT.B.5

• Angle Relationships in Triangles

  Students will be able to identify and apply angle relationships in triangles.

  intermediate · 20 min · HSG.CO.C.10

• Triangle Inequality Theorem

  Students will be able to apply the Triangle Inequality Theorem.

  intermediate · 20 min · HSG.CO.C.10

• Circumcircle and Incircle Concepts

  Students will be able to relate triangles to circumcircles and incircles.

  advanced · 30 min · HSG.SRT.B.5

• Pythagorean Theorem in Triangles

  Students will be able to apply the Pythagorean Theorem.

  beginner · 20 min · HSG.SRT.B.4

• Triangles and Similarity

  Students will be able to identify and compare similar triangles.

  intermediate · 25 min · HSG.SRT.B.4 · HSG.SRT.B.5

• The Law of Sines

  Students will be able to use the Law of Sines to solve triangles.

  advanced · 30 min · HSG.SRT.B.5

• The Law of Cosines

  Students will be able to apply the Law of Cosines to solve triangles.

  advanced · 30 min · HSG.SRT.B.5

Covers HSG.CO.C.11 · HSG.CO.A.3

• Introduction to Quadrilaterals

  Students will be able to recognize and define various quadrilaterals.

  beginner · 20 min · HSG.CO.C.11

• Types of Quadrilaterals

  Students will be able to classify different types of quadrilaterals.

  beginner · 25 min · HSG.CO.C.11

• Area of Trapezoids

  Students will be able to calculate the area of trapezoids.

  intermediate · 25 min · HSG.CO.C.11

• Identifying Special Parallelograms

  Students will be able to differentiate between special parallelograms.

  intermediate · 20 min · HSG.CO.C.11

• Diagonals in Quadrilaterals

  Students will be able to analyze the properties of diagonals in quadrilaterals.

  intermediate · 30 min · HSG.CO.C.11

• Transformations in Quadrilaterals

  Students will be able to understand transformations of quadrilaterals.

  advanced · 30 min · HSG.CO.A.3

• Real-World Applications of Quadrilaterals

  Students will be able to apply quadrilateral properties in real-life scenarios.

  advanced · 30 min · HSG.CO.C.11

• Understanding Quadrilaterals

  Students will be able to classify and describe different quadrilaterals.

  beginner · 15 min · HSG.CO.C.11

• Properties of Parallelograms

  Students will be able to apply properties of parallelograms to solve problems.

  intermediate · 20 min · HSG.CO.C.11

• Properties of Rectangles

  Students will be able to calculate area and perimeter of rectangles.

  beginner · 15 min · HSG.CO.C.11

• Exploring Rhombuses

  Students will be able to determine properties and calculate area for rhombuses.

  intermediate · 20 min · HSG.CO.C.11

• Investigating Trapezoids

  Students will be able to calculate the area and properties of trapezoids.

  beginner · 15 min · HSG.CO.C.11

• Congruent Quadrilaterals

  Students will be able to determine when quadrilaterals are congruent.

  intermediate · 20 min · HSG.CO.C.11

• Angle Relationships in Quadrilaterals

  Students will be able to analyze angle relationships in various quadrilaterals.

  advanced · 25 min · HSG.CO.C.11

• Transformations and Quadrilaterals

  Students will be able to apply properties of transformations as they relate to quadrilaterals.

  advanced · 30 min · HSG.CO.A.3

Covers HSG.CO.A.1 · HSG.MG.A.1 · HSG.CO.A.3

• Introduction to Polygons

  Students will be able to define a polygon and identify its key components.

  beginner · 15 min · HSG.CO.A.1

• Classifying Polygons by Number of Sides

  Students will be able to classify polygons by their number of sides and name them correctly.

  beginner · 20 min · HSG.MG.A.1

• Convex and Concave Polygons

  Students will be able to identify convex and concave polygons and explain the difference.

  beginner · 15 min · HSG.MG.A.1

• Regular and Irregular Polygons

  Students will be able to distinguish regular polygons from irregular polygons.

  beginner · 20 min · HSG.CO.A.1 · HSG.MG.A.1

• Interior Angles of Polygons

  Students will be able to calculate the sum of interior angles and individual angle measures in polygons.

  intermediate · 25 min · HSG.MG.A.1

• Exterior Angles of Polygons

  Students will be able to calculate exterior angles and use the exterior angle sum theorem.

  intermediate · 25 min · HSG.MG.A.1

• Diagonals in Polygons

  Students will be able to calculate the number of diagonals in any polygon.

  intermediate · 20 min · HSG.MG.A.1

• Pentagons and Hexagons

  Students will be able to identify and describe properties of pentagons and hexagons.

  intermediate · 25 min · HSG.MG.A.1

• Regular Polygon Properties

  Students will be able to describe the symmetry and angle properties of regular polygons.

  intermediate · 30 min · HSG.CO.A.3 · HSG.MG.A.1

• Perimeter of Polygons

  Understand the definitions of perimeter and area.

  beginner · 20 min · HSG.MG.A.1

• Area of Regular Polygons

  Students will be able to calculate the area of regular polygons using the apothem.

  advanced · 30 min · HSG.MG.A.1

• Polygons in the Coordinate Plane

  Students will be able to plot polygons on the coordinate plane and find their perimeter and area.

  intermediate · 35 min · HSG.MG.A.1

• Tessellations and Tiling with Polygons

  Students will be able to identify which polygons tessellate and create tessellation patterns.

  intermediate · 25 min · HSG.MG.A.1

• Real-World Applications of Polygons

  Students will be able to identify and analyze polygon applications in real-world contexts.

  intermediate · 25 min · HSG.MG.A.1

Covers HSG.SRT.A.2 · HSG.SRT.B.5 · HSG.SRT.B.4 · HSG.SRT.A.1

• Introduction to Similarity

  Students will be able to identify similar figures and apply the similarity criteria.

  beginner · 15 min · HSG.SRT.A.2

• Properties of Similar Triangles

  Students will be able to determine similarity of triangles using properties.

  intermediate · 20 min · HSG.SRT.A.2 · HSG.SRT.B.5

• Properties of Similar Polygons

  Students will be able to assess similarity in polygons by methods of angle measures and side ratios.

  intermediate · 25 min · HSG.SRT.A.2

• Similarity in Right Triangles

  Students will be able to utilize the properties of similarity in right triangles to find unknown sides.

  advanced · 30 min · HSG.SRT.B.4 · HSG.SRT.B.5

• Using Similarity for Real-Life Applications

  Students will be able to apply similarity in practical scenarios to calculate different dimensions.

  intermediate · 25 min · HSG.SRT.B.5

• Algebraic Applications of Similarity

  Students will be able to use algebraic techniques to solve similarity problems.

  advanced · 30 min · HSG.SRT.B.5

• Circumference and Area Effects of Similarity

  Students will be able to calculate circumferences and areas using similarity.

  advanced · 30 min · HSG.SRT.A.2

• Transformations and Similarity

  Students will be able to analyze how transformations affect similarity.

  intermediate · 25 min · HSG.SRT.A.1 · HSG.SRT.A.2

• Introduction to Similarity in Geometry

  Students will be able to identify similar figures and calculate scale factors.

  beginner · 15 min · HSG.SRT.A.1 · HSG.SRT.A.2

• Proportions and Similar Figures

  Students will be able to use proportions to find missing side lengths in similar figures.

  beginner · 20 min · HSG.SRT.A.2

• Angle-Angle (AA) Similarity Criterion

  Students will be able to apply the AA similarity criterion to determine if triangles are similar.

  intermediate · 20 min · HSG.SRT.A.3

• Side-Side-Side (SSS) Similarity Criterion

  Students will be able to determine triangle similarity using the SSS criterion.

  intermediate · 25 min · HSG.SRT.B.5

• Using Similar Triangles in Real-World

  Students will be able to generate and utilize scale models through similarity.

  advanced · 25 min · HSG.SRT.B.5

• Triangles in the Coordinate Plane

  Students will be able to identify similar triangles in the coordinate plane using distance calculations.

  advanced · 30 min · HSG.SRT.B.5

• Applications of Similarity in Design

  Students will be able to integrate similarity principles into artistic and architectural design.

  advanced · 30 min · HSG.SRT.B.5

Covers HSG.SRT.C.6 · HSG.SRT.C.8 · HSG.SRT.D.11 · HSG.SRT.C.7

• Introduction to Trigonometric Ratios

  Students will be able to calculate sine, cosine, and tangent for given angles.

  beginner · 20 min · HSG.SRT.C.6

• Understanding Sine, Cosine, and Tangent

  Students will be able to identify and calculate sine, cosine, and tangent for right triangles.

  beginner · 20 min · HSG.SRT.C.6

• Exploring the Pythagorean Theorem

  Students will be able to apply the Pythagorean Theorem to find unknown side lengths.

  beginner · 25 min · HSG.SRT.C.8

• The Unit Circle and Trigonometric Functions

  Students will be able to identify points on the unit circle for key angles and apply their sine and cosine values.

  beginner · 25 min · HSG.SRT.C.8

• Understanding Unit Circle Basics

  Students will be able to determine sine and cosine values using the unit circle.

  intermediate · 30 min · HSG.SRT.C.8

• Intro to Inverse Trigonometric Functions

  Students will be able to compute angles using inverse sine, cosine, and tangent functions.

  intermediate · 25 min · HSG.SRT.C.8

• Trigonometric Functions Overview

  Students will be able to graph sine, cosine, and tangent functions.

  intermediate · 30 min · HSG.SRT.C.8

• Applying the Law of Sines

  Students will be able to apply the Law of Sines to find missing angles and sides in non-right triangles.

  intermediate · 25 min · HSG.SRT.D.11

• Introduction to the Law of Cosines

  Students will be able to apply the Law of Cosines to calculate missing sides and angles.

  intermediate · 25 min · HSG.SRT.D.11

• Solving Right Triangles

  Students will be able to solve for unknown sides and angles in right triangles.

  intermediate · 30 min · HSG.SRT.C.8

• Using Trigonometric Identities

  Students will be able to simplify trigonometric expressions using fundamental identities.

  advanced · 30 min · HSG.SRT.C.8

• Exploring Angle Relationships

  Students will be able to identify angle relationships and use them in calculations.

  intermediate · 30 min · HSG.SRT.C.7

• Trigonometric Applications in Real Life

  Students will be able to apply trigonometric concepts to solve real-world problems.

  advanced · 30 min · HSG.SRT.C.8 · HSG.SRT.D.11

• Law of Sines and Cosines

  Students will be able to utilize the Law of Sines and Cosines in solving triangles.

  advanced · 30 min · HSG.SRT.D.11

• Applying Trigonometry in Real-world Contexts

  Students will be able to apply trigonometric concepts to real-world problems.

  advanced · 30 min · HSG.SRT.C.8 · HSG.SRT.D.11

• Understanding the Unit Circle

  Students will be able to understand and use the unit circle.

  beginner · 20 min · HSG.SRT.C.8

• Finding Trigonometric Values from Angles

  Students will be able to find sine, cosine, and tangent values for standard angles.

  intermediate · 25 min · HSG.SRT.C.6

• The Pythagorean Identity

  Students will be able to use the Pythagorean identity to solve for unknown trigonometric values.

  intermediate · 25 min · HSG.SRT.C.8

• Graphing Sine and Cosine Functions

  Students will be able to accurately graph sine and cosine functions.

  intermediate · 30 min · HSG.SRT.C.8

• Exploring the Tangent Function

  Students will be able to understand and calculate values for the tangent function.

  intermediate · 25 min · HSG.SRT.C.6

• Inverse Trigonometric Functions

  Students will be able to compute angles using inverse trigonometric functions.

  advanced · 30 min · HSG.SRT.C.8

• Applications of Trigonometry

  Students will be able to solve real-world problems using trigonometric concepts.

  advanced · 30 min · HSG.SRT.C.8 · HSG.SRT.D.11

Covers HSG.C.A.2 · HSG.C.B.5 · HSG.C.A.3 · HSG.C.A.4

• Introduction to Circles and Their Properties

  Students will be able to identify and apply properties of circles.

  beginner · 15 min · HSG.C.A.2

• Understanding Circle Definitions and Elements

  Students will be able to define and identify the properties of circles.

  beginner · 20 min · HSG.C.A.2

• Calculating Circumference of Circles

  Students will be able to calculate the circumference of circles.

  beginner · 15 min · HSG.C.B.5

• Circle Properties

  Calculate circumference and area of circles.

  beginner · 25 min · HSG.C.B.5

• Exploring Area of Circles

  Students will be able to compute the area of circles.

  intermediate · 25 min · HSG.C.B.5

• Understanding Central Angles and Arcs

  Students will be able to find the lengths of arcs given a central angle.

  intermediate · 30 min · HSG.C.B.5

• The Inscribed Angle Theorem

  Students will be able to calculate inscribed angles using the Inscribed Angle Theorem.

  intermediate · 20 min · HSG.C.A.2

• Circumscribed and Inscribed Circles

  Students will be able to find the radii of circumscribed and inscribed circles related to triangles.

  advanced · 30 min · HSG.C.A.3

• Tangents to Circles

  Students will be able to find lengths of tangents to circles.

  advanced · 30 min · HSG.C.A.2 · HSG.C.A.4

• Arc Length and Sector Area Calculations

  Students will be able to compute arc lengths and sector areas in circles.

  advanced · 30 min · HSG.C.B.5

• Calculating the Area of a Circle

  Students will be able to calculate the area of a circle.

  beginner · 20 min · HSG.C.B.5

• Understanding Chords and Arcs

  Students will be able to identify and compute chord and arc lengths.

  intermediate · 25 min · HSG.C.A.2

• The Relationship Between Central Angles and Arcs

  Students will be able to understand and apply the relationship between central angles and arc lengths.

  intermediate · 25 min · HSG.C.B.5

• Inscribed Angles Theorem

  Students will be able to apply the Inscribed Angle Theorem in calculations.

  intermediate · 20 min · HSG.C.A.2

• Tangents to a Circle

  Students will be able to identify and calculate the lengths of tangent segments.

  intermediate · 30 min · HSG.C.A.2 · HSG.C.A.4

• Sector Area and Arc Length

  Students will be able to calculate the area of a sector and the length of an arc.

  intermediate · 30 min · HSG.C.B.5

• The Power of a Point Theorem

  Students will be able to apply the Power of a Point theorem.

  advanced · 30 min · HSG.C.A.2

Covers HSG.MG.A.1 · HSG.CO.A.1 · HSG.GMD.B.4

• Introduction to 2D Shapes

  Students will be able to identify and calculate properties of 2D shapes.

  beginner · 20 min · HSG.MG.A.1

• Understanding Angles in Shapes

  Students will be able to classify angles and apply angle properties in shapes.

  beginner · 25 min · HSG.CO.A.1

• Properties of Quadrilaterals

  Students will be able to distinguish and calculate properties of quadrilaterals.

  intermediate · 20 min · HSG.MG.A.1

• Circles: Area and Circumference

  Students will be able to calculate the area and circumference of circles.

  intermediate · 25 min · HSG.CO.A.1 · HSG.MG.A.1

• Introduction to 3D Shapes

  Students will be able to identify and calculate properties of 3D shapes.

  intermediate · 25 min · HSG.MG.A.1

• Surface Area of 3D Shapes

  Students will be able to calculate the surface area of common 3D shapes.

  intermediate · 30 min · HSG.MG.A.1

• Volume of 3D Shapes

  Students will be able to calculate the volume of common 3D shapes.

  advanced · 30 min · HSG.MG.A.1

• Comparing 2D and 3D Properties

  Students will be able to compare properties of 2D and 3D shapes.

  advanced · 30 min · HSG.MG.A.1 · HSG.GMD.B.4

• Exploring Quadrilaterals

  Students will be able to differentiate between various types of quadrilaterals.

  intermediate · 20 min · HSG.MG.A.1

• Triangles and Their Types

  Students will be able to classify triangles and apply the Pythagorean theorem.

  intermediate · 20 min · HSG.MG.A.1

• Circles and Their Properties

  Students will be able to calculate the circumference and area of circles.

  beginner · 10 min · HSG.CO.A.1 · HSG.MG.A.1

• Volume of Composite Figures

  Students will be able to compute the volume of composite 3D figures.

  advanced · 30 min · HSG.MG.A.1

• Real-Life Applications of Geometry

  Students will be able to identify geometric concepts in real-life contexts.

  advanced · 30 min · HSG.MG.A.1

Covers HSG.MG.A.1 · HSG.GMD.A.1 · HSG.GMD.A.3 · HSG.GMD.B.4

• Area of Rectangles and Squares

  Calculate areas of rectangles and squares.

  beginner · 15 min · HSG.MG.A.1

• Area of Triangles

  Calculate areas of triangles.

  beginner · 15 min · HSG.MG.A.1

• Area of Parallelograms and Trapezoids

  Calculate areas of parallelograms and trapezoids.

  beginner · 20 min · HSG.MG.A.1

• Area of Regular Polygons: Formula Reference

  Calculate areas of regular polygons.

  intermediate · 25 min · HSG.MG.A.1

• Area of Circles and Sectors

  Calculate areas of circles and sectors.

  intermediate · 25 min · HSG.GMD.A.1 · HSG.MG.A.1

• Area of Composite Figures

  Calculate areas of composite figures.

  intermediate · 30 min · HSG.MG.A.1

• Surface Area of Prisms and Cylinders

  Calculate surface areas of prisms and cylinders.

  intermediate · 30 min · HSG.MG.A.1

• Surface Area of Pyramids and Cones

  Calculate surface areas of pyramids and cones.

  intermediate · 30 min · HSG.MG.A.1

• Surface Area of Spheres

  Calculate surface areas of spheres.

  intermediate · 20 min · HSG.MG.A.1

• Volume of Prisms and Cylinders

  Calculate volumes of prisms and cylinders.

  intermediate · 25 min · HSG.GMD.A.3 · HSG.MG.A.1

• Volume of Pyramids and Cones

  Calculate volumes of pyramids and cones.

  intermediate · 25 min · HSG.GMD.A.3 · HSG.MG.A.1

• Volume of Spheres

  Calculate volumes of spheres.

  intermediate · 20 min · HSG.GMD.A.3 · HSG.MG.A.1

• Cavalieri's Principle

  Apply Cavalieri's Principle to compare volumes.

  advanced · 30 min · HSG.GMD.A.1

• Cross Sections of Solids

  Identify cross sections of three-dimensional solids.

  advanced · 30 min · HSG.GMD.B.4

• Density and Packing Problems

  Solve density and packing problems using area and volume.

  advanced · 30 min · HSG.MG.A.2

• Applications of Area and Volume

  Solve real-world problems using area and volume.

  advanced · 30 min · HSG.MG.A.1 · HSG.MG.A.2

Covers HSG.GPE.B.5 · HSG.GPE.B.4 · HSG.GPE.B.7 · HSG.GPE.B.6

• Equations of Lines: Slope-Intercept Form

  Write and graph lines in slope-intercept form.

  intermediate · 25 min · HSG.GPE.B.5

• Introduction to the Coordinate Plane

  Understand the coordinate plane and identify quadrants and plot points.

  beginner · 15 min · HSG.GPE.B.4

• Distance Formula

  Calculate distances between points using the distance formula.

  beginner · 20 min · HSG.GPE.B.7

• Midpoint Formula

  Find the midpoint of any line segment.

  beginner · 15 min · HSG.GPE.B.6

• Slope of a Line

  Calculate and interpret the slope of a line.

  beginner · 20 min · HSG.GPE.B.5

• Equations of Lines: Point-Slope Form

  Write linear equations using point-slope form.

  intermediate · 20 min · HSG.GPE.B.5

• Graphing Linear Inequalities

  Graph and interpret linear inequalities.

  intermediate · 25 min · HSG.GPE.B.4

• Systems of Linear Equations

  Solve systems of linear equations.

  intermediate · 30 min · HSG.GPE.B.4

• Partitioning Line Segments

  Find points that divide segments in given ratios.

  intermediate · 25 min · HSG.GPE.B.6

• Circles in the Coordinate Plane

  Write and graph equations of circles.

  intermediate · 25 min · HSG.GPE.A.1

• Transformations in the Coordinate Plane

  Perform and describe transformations on the coordinate plane.

  intermediate · 30 min · HSG.GPE.B.4

• Area and Perimeter in the Coordinate Plane

  Find area and perimeter of shapes on the coordinate plane.

  intermediate · 30 min · HSG.GPE.B.7

• Slope and Rate of Change

  Interpret slope as a rate of change in applications.

  intermediate · 25 min · HSG.GPE.B.5

• Applications of Coordinate Geometry

  Solve real-world problems using coordinate geometry.

  advanced · 30 min · HSG.GPE.B.4 · HSG.GPE.B.7

• Equation of a Parabola: Vertex Form

  By the end of this lesson, you will be able to write and graph the equation of a parabola in vertex form, y = a(x − h)² + k, identify its vertex and axis of symmetry, and convert between vertex form and standard form.

  advanced · 30 min · HSG.GPE.B.4

• Distance from a Point to a Line

  By the end of this lesson, you will be able to calculate the shortest (perpendicular) distance from a point $P(x_0, y_0)$ to a line written in standard form $Ax + By + C = 0$ using the formula $d = \frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}}$, and apply it to real-world problems such as GPS routing, collision detection, and determining which side of a line a point lies on.

  advanced · 25 min · HSG.GPE.B.4 · HSG.GPE.B.5

• Coordinate Geometry with Polygons

  By the end of this lesson, you will be able to use coordinate geometry — slopes, the distance formula, and the midpoint formula — to classify quadrilaterals and other polygons, prove their properties (such as parallel sides, congruent sides, and bisecting diagonals), and calculate the area of a polygon on the coordinate plane using the shoelace formula $A = \frac{1}{2}\left|\sum (x_i y_{i+1} - x_{i+1} y_i)\right|$.

  advanced · 35 min · HSG.GPE.B.4 · HSG.GPE.B.5 · HSG.GPE.B.7