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Geometry is the study of the characteristics and relationships of shapes. Characteristics include facts about and measurements of an object.
10.1 Introduction to Geometry: undefined terms, naming conventions, and their relationships
Explanation:
Khan video: Euclid as the father of geometry
Khan video: Terms & labels in geometry
Khan video: Geometric definitions example
Khan video: Lines, line segments, & rays
Khan video: Specifying planes in three dimensions
Practice Problems:
IXL: Geometry: B.1 Lines, line segments, and rays (score of 50)
IXL: Geometry B.2 Properties of planes, lines, and points (score of 50)
Khan Exercise: Points, lines, and planes
Khan Exercise: Geometric definitions
10.2 Pythagorean Theorem
Explanation:
Khan video: Intro to the Pythagorean theorem
Khan video: Pythagorean theorem example
IXL article: Pythagorean Theorem
Khan video: Intro to rational & irrational numbers
Khan video: Classifying numbers: rational & irrational
Khan video: Understanding square roots
Khan article: Simplifying square roots
Practice Problems:
Review: Khan Exercise: Square roots
Review: Khan Exercise: Roots of decimals & fractions
IXL: Geometry Q.1 Pythagorean theorem (round answers)
Khan exercise: Use Pythagorean theorem to find right triangle side lengths (do not simplify roots)
Khan exercise: Pythagorean theorem challenge
Khan exercise: Classify numbers: rational & irrational
Khan exercise: Simplify square roots
10.3 Distance between two points: distance formula; copy a line segment
Explanation:
Khan article: Getting ready for analytic geometry
Khan video: Distance formula
Khan article: Distance formula
Khan video: Points inside/outside/on a circle
Practice Problems:
Khan exercise: Distance between two points
Khan exercise: Points inside/outside/on a circle (honors)
IXL: Geometry B.12 Distance formula
IXL: Geometry B.14 Distance to the origin in three dimensions (honors: extra credit)
10.4 Midpoint
Explanation:
Khan video: Midpoint formula
Khan article: Midpoint formula
Khan article: Midpoint formula review
Khan video: Dividing line segments: graphical
Khan video: Dividing line segments
Practice Problems:
Khan Exercise: Midpoint formula (includes finding an endpoint)
Khan exercise: Divide line segments
IXL: Geometry B.6 Midpoints
IXL: Geometry B.9 Midpoint formula: find the midpoint
IXL: Geometry B.11 Midpoint formula: find the endpoint
10.5 Construction: Copy a Line Segment and Perpendicular Constructions (equilateral triangles, regular hexagons, and squares)
Explanation:
Animated Tutorials all constructions (click here for all constructions)"
Hexagon inscribed in a circle | Geometric constructions: circle-inscribed regular hexagon
Bisect a segment (also known as a perpendicular bisector)
Construct a Perpendicular Line through a Point on the Given Line
Construct a Perpendicular Line through a Point not on the Given Line
Constructing a square (given a side)
Square inscribed in a circle | Khan video: Geometric constructions: circle-inscribed square
Khan videos
Practice Problems:
10.6 Construction with Angles: Copy an Angle and Angle Bisector
Explanation:
IXL article: Angle bisectors
Animated Tutorials all constructions (click here for all constructions):
Copy an angle | Khan video: Geometric constructions: congruent angles
Bisect an angle | Khan video: Geometric constructions: angle bisector
Practice Problems:
IXL: Geometry C.1 Angle vocabulary (warm-up review)
IXL: Geometry C.2 Angle measures (warm-up review)
IXL: Geometry C.5 Angle bisectors
IXL: Geometry C.6 Construct an angle bisector
IXL: Geometry C.7 Construct a congruent angle
Review
Vocabulary Review: Quizlet
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