Secondary: Geometry
A team of Northshore School District educators curated these supplemental learning resources to support asynchronous learning opportunities. This page includes instructional videos from open educational resources that were used during the 2020-21 school year.
Quarter 1
Quarter 1 Math
Big Ideas & Concepts
- Transformations
- Parallel and Perpendicular Lines
- Logic and Reasoning
- Tools of Geometry
Instructional Videos
- Virtual Nerd What is a Transformation
- Virtual Nerd How do you use coordinates to translate a figure horizontally
- Virtual Nerd How do you use coordinates to translate a figure vertically
- Virtual Nerd What properties stay the same after a translation
- Virtual Nerd what is an image
- Virtual Nerd How do you reflect an image over the x-axis
- Virtual Nerd How do you reflect an image over the y-axis
- Virtual Nerd How do you use coordinates to reflect a figure over the y-axis
- Virtual Nerd How do you use coordinates to reflect a figure over the x-axis
- Virtual Nerd How do you rotate an object 180 degrees around the origin
- Virtual Nerd Composition of Transformations
- Virtual Nerd How do you make a figure larger using dilation
- Khan Academy Introduction to Rigid Transformations
- Khan Academy Identifying Transformations
- Khan Academy Translating Points
- Khan Academy Determining Translations
- Khan Academy Translating Shapes
- Khan Academy Translation Challenge Problem
- Khan Academy Dilation Introduction
- Khan Academy Determining Rotations
- Khan Academy Rotating Shapes
- Khan Academy Reflecting Points
- Khan Academy Determining Reflections
- Khan Academy Determining Reflections Advanced
- Khan Academy Reflecting Shapes
- Khan Academy Reflecting Shapes: Diagonal Line of Reflection
- Khan Academy Dilation Introduction
- Khan Academy Dilating Points
- Khan Academy Dilation Scale Factor
- Khan Academy Dilation Center
- Khan Academy Dilation Expanding
- Khan Academy Dilation Shrinking by ½
- Khan Academy Dilation Properties
- Khan Academy Sequence of Transformations (Compositions)
- Khan Academy Types of Transformations
- Khan Academy Reflective Symmetry
- Khan Academy Rotational Symmetry
- ck12 Rotational Symmetry
- ck12 Determining Lines of Symmetry
- ck12 Identifying and Counting Lines of Symmetry
- ck12 Reflection Symmetry
- ck12 Reflection Symmetry Examples
- ck12 Rotational Symmetry
- ck12 Rotational Symmetry Examples
- ck12 Translation Lesson
- ck12 Translation Examples
- ck12 Identify the quadrant of a point in the coordinate plane
- ck12 Rotations Lesson
- ck12 Rotations Examples
- ck12 Rotation Rules
- ck12 Reflections Lesson
- ck12 Reflections Examples
- ck12 Composing Transformations Lesson
- ck12 Composing Transformations Example
- ck12 Composition of Transformations Examples 2
- Virtual Nerd What are Parallel Lines
- Virtual Nerd Corresponding Angles Postulate
- Virtual Nerd Converse of Corresponding Angles Postulate
- Virtual Nerd Solving for x to prove lines parallel
- Virtual Nerd What is the formula for Slope
- Virtual Nerd How do you find the slope of a line from the graph
- Virtual Nerd What is slope intercept form of an equation of a line
- Virtual Nerd How do you write the equation of a line in slope intercept form if you have 2 points
- Virtual Nerd Writing equation for line from slope and parallel line
- Virtual Nerd How do you know if 2 lines are perpendicular
- Virtual Nerd Writing Equation for a line from a point and perpendicular line
- Virtual Nerd How do you Graph a Horizontal Line
- Virtual Nerd How do you write the equation of a horizontal line
- Virtual Nerd How do you graph a vertical line
- Virtual Nerd How do you write the equation of a vertical line
- Virtual Nerd Construct a parallel line through a given point
- Khan Academy Parallel and Perpendicular Lines Intro
- Khan Academy Parallel and Perpendicular Lines from a Graph
- Khan Academy Parallel Lines from an Equation
- Khan Academy Parallel Lines from an Equation (Example 2)
- Khan Academy Parallel Lines from an Equation (Example 3)
- Khan Academy Perpendicular Lines from an Equation
- Khan Academy Writing Equations of Perpendicular Lines
- Khan Academy Writing Equations of Perpendicular (Example 2)
- Khan Academy Prove Parallel Lines Have the Same Slope
- Khan Academy Prove Lines are Perpendicular
- ck12 Determining if Lines are Parallel
- ck12 Determining if Lines are Perpendicular
- ck12 Properties of Parallel Lines
- ck12 Corresponding Angles Lesson
- ck12 Corresponding Angles Examples
- ck12 Alternate Interior Angles Lesson
- ck12 Alternate Interior Angles Examples
- ck12 Alternate Interior Angles Proof
- ck12 Alternate Exterior Angles Lesson
- ck12 Alternate Exterior Angles Examples
- ck12 Alternate Exterior Angles Proof
- ck12 Same Side Interior Angles Lesson
- ck12 Same Side Interior Angles Examples
- ck12 Same Side Interior (Consecutive Angles) Proof
- ck12 Same Side Interior (Consecutive Angles) Converse Proof
- ck12 Parallel lines in the Coordinate Planes
- ck12 Parallel Lines in the Coordinate Plane Examples
- ck12 Perpendicular Lines in the Coordinate Plane Lesson
- ck12 Perpendicular lines in the Coordinate Plane Examples
- Open Math Reference: Copy a line segment
- Open Math Reference: Construct Segment Bisector
- Open Math Reference: Perpendicular Bisector
- Open Math Reference: Construct Angles
- Open Math Reference: Construct Angle Bisector
- Open Math Reference: Perpendicular at a point on a line
- Open Math Reference: Perpendicular Through a Point
- Virtual Nerd Inductive Reasoning
- Virtual Nerd What is a Theorem
- ck 12 Inductive Reasoning Lesson
- ck 12 Inductive Reasoning Examples
- ck12 Conjecture and Counterexample Lesson
- ck12 Conjecture and Counterexample Examples
- Virtual Nerd What is a Point
- Virtual Nerd What is a Line Segment
- Virtual Nerd What is a Plane
- Virtual Nerd What Does Congruent Mean
- Virtual Nerd Midpoint Formula
- Virtual Nerd How to Find the Midpoint Between 2 Coordinates Example
- Virtual Nerd What is an Angle (and How to Measure)
- Virtual Nerd Names of Angles
- Virtual Nerd Angle Addition Postulate
- Virtual Nerd What are Complementary Angles
- Virtual Nerd Use Complementary Angles to Find Missing Angle
- Virtual Nerd What are Supplementary Angles
- Virtual Nerd How to Use Supplementary Angles to Find a Missing Angle
- Virtual Nerd What are Vertical Angles
- Math Antics Points, Lines, Planes
- Math Antics Angle Basics
- Math Antics Angles and Degrees
- ck12 Points lines and Planes
- ck 12 Ruler postulate and Segment addition postulate
- ck12 Angle Basics (Vocab and Measurement)
- ck12 Using a Protractor to Measure Angles
- ck12 Identification of Angles by Vertex and Ray
- ck12 Classifying Angles Overview
- ck12 Classifying Angles Animation
- ck12 Classifying Angles Examples
- ck12 Angle Pairs (includes solving for missing angle and variables)
- ck12 Find Missing Angles In Complementary Angles
- ck12 Finding the Missing Angle in Complementary Angles with Variables
- ck12 Angles on a Line (Supplementary Angles)
- ck12 Angles on a Line Example (Finding Missing Angle Supplementary)
- ck12 Angles on a Line Algebra Example (Supplementary Angles)
- ck12 Vertical Angle Overview
- ck12 Vertical Angle Lesson
- ck12 Vertical Angle Example Finding Missing Angle
- ck12 Vertical Angle Example Finding Missing Angles with Variables
- ck12 Congruent Angles and Angle Bisectors
- ck12 Congruent Angles and Angle Bisector Examples
- Khan Academy Terms and Labels
- Khan Academy Lines, Segments, Rays
- Khan Academy Planes
- Khan Academy Measuring Angles
- Khan Academy Acute, Right and Obtuse Angles
- Khan Academy Verticals Angles
- Khan Academy Vertical Angle Equation Practice
- Khan Academy Complementary and Supplementary Angles
- Khan Academy Equation Practice with Complementary Angles
- Khan Academy Equation Practice with Supplementary Angles
- Khan Academy Vertical Angle Proof
Quarter 2
Quarter 2 Math
Big Ideas & Concepts
- Congruent Triangles
- Relationships with Triangles
Instructional Videos
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Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment
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Represent transformations in the plane using, e.g., transparencies and geometry software
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Given a geometric figure and a rotation, reflection, or translation
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Use geometric descriptions of rigid motions to transform figures
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Use the definition of congruence in terms of rigid motions to show that two triangles are congruent.
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Make formal geometric constructions with a variety of tools and methods
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Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle
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Explain and use the relationship between the sine and cosine of complementary angles
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Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems
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Prove the Laws of Sines and Cosines and use them to solve problems
Quarter 3 & 4
Quarter 3 & 4 Math
Big Ideas & Concepts
- Polygon Angle Sum Theorems
- Properties of Parallelograms
- Proving a Quadrilateral is a Parallelogram
- Properties of Rhombuses, Rectangles, and Squares
- Conditions for Rhombuses, Rectangles, and Squares
- Trapezoids and Kites
- Discovering the Midpoint and Distance Formulas
- Midpoint and Distance in the Coordinate Plane
- Polygons in the Coordinate Plane
- Applying Coordinate Geometry
- Proofs using Coordinate Geometry
Instructional Videos
- Sum of interior angles of a polygon
- Sum of the exterior angles of a polygon
- Proof: Opposite sides of a parallelogram
- Proof: Diagonals of a parallelogram
- Proof: Opposite angles of a parallelogram
- Proof: The diagonals of a kite are perpendicular
- Proof: Rhombus diagonals are perpendicular bisectors
- Proof: Rhombus area
- What is a Quadrilateral?
- What is a Parallelogram?
- How Do You Find Values for Variables in the Angles of a Quadrilateral To Make it a Parallelogram?
- How Do You Classify Quadrilaterals?
- How Do You Use the Diagonals of a Rectangle to Find the Value of a Variable?
- How Do You Construct a Square?
- What is a Rhombus?
- What is a Square?
- How Do You Find the Value for a Variable in the Angles of a Quadrilateral To Make it a Rhombus?
- What is a Rectangle?
- What is a Trapezoid?
- What is the distance formula?
- How was the distance formula derived?
- How do you find the distance between two points?
- What’s the midpoint formula?
- How do you find the midpoint between two coordinates?
- How Do You Use Variables to Name Coordinates for a Figure Placed on the Coordinate Plane?
- How Do You Write a Coordinate Proof?
- PBS: High School Geometry Unit