Resources for Geometry
Please note that some videos reference text sections that do not match our text. Be sure that you write down the section of our text that matches the video, not necessarily the section referenced in the video.
General Resources:
- Free Student Workbooks that accompany a textbook similar to ours. Good extra practice, come ask me for the solutions if you use them and need to check your solutions. (The Study Guide and Intervention gives more notes and worked-out examples, too.)
- Math Games
- Khan Academy (search for the topics you are interested in viewing instructional videos about and practice exercises to refresh your memory)
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Geometry for Dummies website
- Visit YouTube and search any topic that is in our textbook. There are so many videos out there lecturing on these topics from different angles, you just have to look for it!
- Angles Practice - Quiz-style
- Mathispower4u: All math topics - browse videos and see what helps
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Khan Academy's SAT Prep modules
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ACT Geometry Practice - another Honors Geometry teacher's resource, but a valuable one, with Answer Key and explanations
Note: Every instance of the term "LPG" indicates that the corresponding set of notes or corresponding worksheet was purchased from LetsPracticeGeometry.com for use by the class taught by this teacher. (Many of the worksheets are also available for free on the same website.)
Review Topics
Links to Chapters
Topic (Text Section) |
Notes |
Videos |
Practice |
Essentials of the Language of Geometry |
Vocabulary Part 1
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Points, Lines and Planes (1-1) |
1-1
Cool model |
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Language and Notation of Basic Geometry (12:58)
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Lines, Line Segments, and Rays (3:38)
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Specifying planes in three dimensions (4:11) - why we need 3 points to name a plane, and how those points need to be related
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Identifying parallel and perpendicular lines (3:35)
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Worksheet 1-1a - Drawing and Describing Figures
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Worksheet 1-1b - From Symbols to Images
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Points, lines and planes (practice naming and identifying planes, collinear points, coplanar points, etc)
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Recognizing rays lines and line segments (choose whether each figure shown is a ray, line or line segment)
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Linear Measure (1-2) |
1-2 |
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How to read a ruler (4:37) explains reading inches and fractions of an inch
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Ruler helper referenced in video
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Segment addition (3:41)
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Algebraic midpoint of a segment exercise (3:19) - using the concept of midpoint to find missing measures
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Worksheet 1-2 - Ruler practice
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The Ruler Game - practice finding measures on an interactive ruler (inches)
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Using a Centimeter Ruler -yes, it says "Grade 2," but a review isn't bad
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Segment addition
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Midpoint of a segment
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Distance and Midpoints (1-3) |
1-3 |
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Distance Formula (9:39)
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Midpoint Formula (6:41)
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Notes & WS: Bisect & Midpoint - (purchased from LetsPracticeGeometry.com)
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Measuring segments on a number line
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Quick drills for segment measures on a number line
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Using the distance formula
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Using the midpoint formula
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Angle Measure (1-4) |
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1-4
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1-4a*
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1-4b*
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Angle Basics (6:49)
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Measuring angles in degrees (8:22)
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Acute right and obtuse angles (5:32)
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Measuring angles with a virtual protractor
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Angle types (identify angles as acute, right or obtuse based on angle measure)
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Angle Addition Postulate (find missing values using algebra and angle relationships)
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Worksheet 1-4a - Protractor Practice
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Worksheet 1-4b - Angle Basics
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Worksheet 1-4c - LPG Classifying Angles
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Worksheet 1-4d - LPG Naming Angles
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Worksheet 1-4e - LPG Adjacent Angles or Not
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Worksheet 1-4f - LPG Angle Addition Postulate
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Angle Relationships (1-5) |
1-5 |
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Complementary and supplementary angles (8:31) (includes adjacent angles)
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Complementary, Supplementary, and Vertical Angles (8:42)
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Worksheet 1-5a - Angle Relationships Exploration
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Worksheet 1-5b - LPG Complementary and Supplementary Angles
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Worksheet 1-5c - LPG Vertical Angle Theorem
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Exploring angle pairs (identify linear pairs, adjacent angles and vertical angles)
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Vertical angles drill
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Vertical angles drill with algebra
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Complementary and supplementary angles (find the missing measure, given the relationship)
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Worksheet 1-5 Angle Relationships
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WS Answers 1-5
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Two-Dimensional Figures (1-6) |
1-6 |
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Polygons (2:59) - define and classify polygons
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Convex polygon vs. concave polygon (0:51)
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Regular Polygons (1:29)
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Area and Perimeter (12:20) - basic concept of area, rectangles and triangles
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Geometry - Polygons (23:04), but it is a comprehensive lesson [do not pay any attention to the text references, since they are not to our book]
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Quick polygon identification quiz
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Quick drill on area and perimeter of rectangles, triangles and circles
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Find the missing measure (x).
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Calculate basic perimeters given diagrams
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Calculate basic perimeters given descriptions of figures
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Calculate basic rectangle areas
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Calculate basic areas given descriptions
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Three-Dimensional Figures (1-7) |
1-7 |
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Worked examples: surface area and volume of
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1http://www.mentorhigh.com/teacher/petrusko/Geometry/Chapter%202/Worksheet%202.5%20Algebraic%20Proof.pdf
2http://michelletaylormath.weebly.com/uploads/2/2/3/8/22383422/proofs_review.pdf
3http://mdk12.org/instruction/curriculum/pdfs/clg2activity005.pdf (p. 6)
Topic (Text Section) |
Notes |
Videos |
Practice |
Classifying Triangles (4-1) |
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4-1
- Classification of Triangles is only the beginning of this page!
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4-1*
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Triangle Types (2:58) - very basic introduction
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Classify Triangles (2:14) - a little ditty to help you remember!
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Classifying triangles in diagrams (4:55)
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Classifying Triangles (5:33) - straightforward, with examples [moves in to next section as well]
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Working with Triangle Classifications (6:32) - specific examples of what we are asked to do with triangles, making connections
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A few words about triangles (2:36)
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Triangle types
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Identify each triangle
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Worksheet 4-1 - classifying triangles
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Worksheet 4-1b - LPG Classifying Triangles
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Angles in Triangles (4-2) |
4-2
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Proof of the Angle Sum Theorem (6:31)
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Exterior Angle Theorem (4:57)
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Find the missing angle measure in a triangle
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Missing angle - not just a triangle (1)
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Missing angle (2)
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Angle Sum Theorem - unlimited practice with answers given
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Review of Triangles Thus Far Angle Sum, Exterior Angle, Classifying Triangles, Using the classifications to find missing measures (It will grade your work for you.)
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Worksheet 4-2 - angles of triangles
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Congruent Triangles (4-3) |
4-3 |
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Congruent Triangles and Figures (12:56)
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What it means for triangles to be congruent (Time= 0:00 - 5:55)
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CPCTC explained
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SSS postulate described - visual explanation - (5:56 - end of video)
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CPCTC proofs
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Are these two triangles congruent?
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Worksheet 4-3 - congruent triangles basics
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Congruency Postulates and Theorems (4-4 through 4-5) |
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4-4
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4-5
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SSS and SAS (32:17) - a long one, but comprehensive (This is a math class channel as well, please explore!)
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Basic instruction is 0:00 - 13:14
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Proof begins 13:15
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SSS, SAS, ASA, AAS (10:15)
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Congruency Postulates SSS, SAS, ASA, AAS (13:28)
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Exploring the congruency postulates with diagrams
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Practice with Proofs Involving Congruent Triangles - try the proof, then click for one possible solution
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Fill-in-the-blank Triangle Proofs
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Basic Triangle Proofs
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Worksheet 4-4 and 4-5 - triangle congruence postulates
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Worksheet 4-4 and 4-5b
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Isosceles and Equilateral Triangles (4-6) |
4-6 |
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Isosceles and Equilateral Triangles (1 of 4) (4:00) - leaves you with a practice question
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Isosceles and Equilateral Triangles (2 of 4) (5:01) - walks you through the practice question given in part 1, begins new rule/new question
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Isosceles and Equilateral Triangles (3 of 4) (5:00) - picks up examples given in part 2, includes a proof (don't worry about the "homework" proof)
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Finding missing angles
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Isosceles Triangle Example Question (5:34)
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Worksheet 4-6 - isosceles and equilateral triangles
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Bonus question: The measure of two angles of an isosceles triangle are (3x+5)° and (x+16)°. Find all possible values of x. Give a comprehensive explanation of your work and reasoning - video response is an option as well.
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Congruence Transformations (4-7) |
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Triangles and Coordinate Proof (4-8) |
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Introduction to Coordinate Proof (8:25) - the whys and wherefores of coordinate proof
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Coordinate Proofs Packet - goes beyond triangles!
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Topic (Text Section) |
Notes |
Videos |
Practice |
Geometric Mean (8-1) |
8-1 |
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8.1 Geometric Mean (21:23)- schoenfeldp
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Video Demo: Where does "geometric mean" in right triangles come from?
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Worksheet 8-1 - geometric mean
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WS Answers 8-1
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The Pythagorean Theorem and Its Converse (8-2) |
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8-2
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8-2a*
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8-2b*
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The Pythagorean Theorem (10:46)
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Pythagorean Theorem (13:03)
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Introduction to the Pythagorean Theorem (8:34)
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Pythagorean Theorem II (9:36)
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Interactive Practice: Using the Pythagorean Theorem
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Worksheet 8-2 - Pythagorean Theorem
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WS Answers 8-2
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Worksheet 8-2b - LPG Pythagorean Theorem
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Worksheet 8-2c - LPG Converse of Pythagorean Theorem
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Worksheet 8-2d - LPG Using Pythagorean Theorem
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Special Right Triangles (8-3) |
8-3 |
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45-45-90 Triangle Basics (with the "rule" triangle from class)
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2 worked examples for 45-45-90 Triangles
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45-45-90 Triangle Side Ratios (start at 1:40 for 45-45-90 triangles)
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45-45-90 Triangles (9:30)
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More 45-45-90 Triangles, and Intro to 30-60-90 Triangles (9:39)
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Special Right Triangles
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Worksheet 8-3 - special right triangles
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WS Answers 8-3
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WS 8-3b Using Special Right Triangles
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WS Answers 8-3b
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Trigonometry (8-4) |
8-4 |
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Starting out with Trigonometry (9:15) - references specific workbook
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Finding sin, cos, tan given side measures (7:14)
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Using the calculator to evaluate sin, cos, tan (2:16) - using TI-84 calculator; process is different with our iPad app
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Finding missing side of a right triangle (6:20)
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Solving for missing angle of right triangle (5:33)
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Basic Trigonometry (9:17)
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Basic Trigonometry II (12:11)
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Using SOH CAH TOA to find sin, cos, tan of angles (4:05) - worked examples
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Solving the sides and angles of a right triangle (7:04) - more worked examples
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Find "sin," "cos," "tan" of angles given all sides of the triangle - good drill for finding "exact" trig functions - definitely on our quizzes and test!
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More advanced "sin," "cos" and "tan" identifications - also helps us really recognize rationalized denominators with radicals
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Using trig functions to find missing sides
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Worksheet 8-4 - trigonometry basics
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Worksheet 8-4c - Trigonometry Challenge
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Angles of Elevation and Depression (8-5) |
8-5 |
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Angle of Elevation and Angle of Depression (9:56)
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Worked Examples: Angle of Elevation and Angle of Depression (9:54)
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Extra Info: Angle of Elevation: Does Height Matter? (5:23)
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Refresher: Where do you ski? (2:12)
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The Law of Sines and the Law of Cosines (8-6) |
8-6 |
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Law of Sines (4:50)
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Example type 1: Finding one missing measure (6:59)
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Example type 2a: Solving the Triangle given 2 angles and 1 side measure (5:51)
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Example type 2b: Solving the Triangle given 2 sides, 1 angle (5:03)
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Proof: Law of Sines (6:33)
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Need Law of Cosines Intro and Examples
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Vectors (8-7) |
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Topic (Text Section) |
Notes |
Videos |
Practice |
Intro to Transformations |
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9-0a*
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9-0b*
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About Transformations |
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Worksheet 9-0a - identifying basic transformations
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Worksheet 9-0b - LPG Transformations on the Coordinate Plane
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Reflections (9-1) |
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Translations (9-2) |
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Rotations (9-3) |
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Compositions of Transformations (9-4) |
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Symmetry (9-5) |
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Dilations (9-6) |
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Topic (Text Section) |
Notes |
Videos |
Practice |
Circles and Circumference (10-1) |
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10-1
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10-1*
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Language and Notation of the Circle (KA - 11:12) - basic introduction
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Circles: Radius, Diameter and Circumference (KA - 11:05) - we always use the Π button on our calculator - never input an approximation!
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Parts of a circle (KA - 2:01)
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Intro to Circles (MSophiaSVHS - 10:22)
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Worksheet 10-1 - LPG Circle Basic Calculations with Arc Measure
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Worksheet 10-1b: r, d and C practice
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Radius, diameter and circuference
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Practice calculating circumference
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Circumference Worksheet - checks your answers
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Radius, Diameter, Circumference and Area of a Circle Worksheet
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Worksheet Generator
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Measuring Angles and Arcs (10-2) |
10-2 |
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Measuring Angles and Arcs 1 (MSophiaSVHS - 10:38) - Naming, identifying and finding arc measure {ignore embedded assignment - was unique to 2013}
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Arc Length (Brightstorm - 2:50) - finding arc length
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10.2 Measuring Angles and Arcs (schoenfeldp - 22:15) - everything, all together, with examples
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Worksheet - Arc measure, arc length, sector area
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WS 10-2: Extra Practice with Arc Measure & Arc Length
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Worksheet: Arcs and Sectors
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Arcs and Chords (10-3) |
10-3 |
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10.3 Arcs and Chords (schoenfeldp - 12:16)
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Inscribed Angles (10-4) |
10-4
10-4* |
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10.4 Inscribed Angles (schoenfeldp - 10:54)
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Inscribed Angles (Brightstorm - 1:45)
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Inscribed Angles and Their Arcs (5:00)
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Inscribed Triangles (4:57)
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Inscribed Quadrilaterals (4:55)
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Inscribed and Central angles (14:16) - proof of "the measure of an inscribed angle is one-half the measure of its arc"
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Worksheet 10-4 - LPG Inscribed Angles
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Inscribed angles 1
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Inscribed angles 2
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Inscribed angles 3
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Tangents (10-5) |
10-5 |
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10.5 Tangents (schoenfeldp - 11:02)
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Tangents 1 (MSophiaSVHS - 7:10)
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Tangents 2 (MSophiaSVHS - 5:27)
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Tangents 3 (MSophiaSVHS - 6:18)
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Tangent Lines (8:12) - uses dynamic geometry software to show moveable figures
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Secants, Tangents and Angle Measures (10-6) |
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10-6
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Math Warehouse
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10.6 Secants, Tangents and Angle Measures (schoenfeldp - 12:59)
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Secants, Tangents and Angle Measures (0:00 - 9:45) - all at once, with some proof/explanation of rules
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Secants, Tangents and Angle Measures 1 (6:14)
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Secants, Tangents and Angle Measures 2 (3:19)
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Secants, Tangents and Angle Measures 3 (7:34)
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Special Segments in a Circle (10-7) |
10-7 |
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10.7 Special Segments in a Circle (schoenfeldp - 15:23)
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Secants, Tangents and Angle Measures (9:46 - 15:01) - segment relationships
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How to Find Secant and Tangent Lengths in Circles (13:19)
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Equations of Circles (10-8) |
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10.8 Equations of Circles (schoenfeldp - 12:16)
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Introduction to conic sections (10:58) - just for understanding where the circle comes from, don't need to watch the entire video
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Conic Sections: Intro to Circles (9:04) - for the equation of a circle on the coordinate plane
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Interactive Practice: Graphing Circles on the Coordinate Plane - try your hand at graphing circles when given the equation of the circle.
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Topic (Text Section) |
Notes |
Videos |
Practice |
Representations of Three-Dimensional Figures (12-1) |
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Surface Area of Prisms and Cylinders (12-2) |
12-2 |
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Surface Area of Pyramids and Cones (12-3) |
12-3 |
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Volumes of Prisms and Cylinders (12-4) |
12-4 |
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Solid geometry review
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Surface Area and Volume - quick review for prisms
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Volumes of Pyramids and Cones (12-5) |
12-5 |
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Surface Areas and Volumes of Spheres (12-6) |
12-6 |
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Spherical Geometry (12-7) |
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Congruent and Similar Solids (12-8) |
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* denotes "LPG"
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Last updated 2014/05/28 13:54:15 CDT | Hits 15925 |
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