Opto Math

This exploration has proved to be an investigative, scaffolded introduction to the idea of triangle congruence. Over the years I have tried investigating this topic by use of patty paper, and that was good, but I felt there were too many moving parts for a 40 minute class period and learners who needed a bit more scaffolding. I like this exploration because it clearly defines the "parts" of the triangle needed to investigate each triangle shortcut. Students are working tangibly for this invest

This bundle includes the following vocabulary posters from Unit 1: Complementary Angles Supplementary Angles Linear Pair Vertical Angles Alternate Interior Angles Corresponding Angles Parallel Lines Perpendicular Lines Interior Angle Exterior Angle Central Angle Midsegment

This resource is an exploration lesson where students use Desmos Geometry Tools to create constructions. Essentially, this is an activity sheet with questions to complete after completing the constructions on Desmos Geometry Tools. Here is the free link to the Desmos activity that corresponds with this exploration sheet. In this activity, students create the following constructions: copy a segmentcopy an angleperpendicular bisectorparallel linesAfter each construction, students answer question

This bundle includes the following formula posters from Unit 1: Constructions & Rigid Transformations in Geometry: Formulas: Pythagorean Theorem180 Degree Rotation270 Degree or -90 Degree Rotation90 Degree or -270 Degree RotationX-Axis ReflectionY-Axis ReflectionReflection Over y=xTranslation LeftTranslation RightTranslation UpTranslation DownInterior Angle Sum of a PolygonOne Interior Angle in a Regular PolygonOne Central Angle or Exterior Angle in a Regular Polygon

OverviewThis symmetry exploration guides learners to investigate the reflectional and rotational symmetry of various shapes. What's includedWith this resource, you are supplied with a "cut-out and companion" page and the exploration activity page. How to useThe way I like to use this product is as an introduction to symmetry, followed by direct instruction, guided practice, and then individual practice. Be on the lookout for Symmetry Notes and Symmetry Practice from my store. The "cut-out and

Enjoy this bundle of resources about Tessellations, including the Exploration, Notes, and Practice. It would usually take me 2-3 40 minute class periods to work through these 3 resources, and I used them in succession. Exploration, then notes, then practice. Sometimes notes and practice can work on the same day.

Tessellations Notes is a great way to follow Tessellations Exploration and precede Tessellations Practice. In a 40-minute class period, I might could do the notes and the practice. This is a great way to give students some context with the interior angle sum of polygons and the measure of one interior angle in a regular polygon. I usually do these notes the day after I do the Tessellations Exploration, which takes a whole class period for me. It could be fun to start class by showing some pictu

This tessellations practice includes 6 questions about tessellations on one-page. There are two of each level of question, with each section getting progressively more challenging: shrimp, kiwi bird, dragon. This practice works well with my Tessellations Exploration and Tessellations Notes. I like to use my notes pages as a guided practice where we work one of each level together then I allow students to work on the other question of that level individually or in small groups/pairs.

In this lesson, students learn about the use of a compass and straightedge, to make basic geometric figures such as a segment, angle, and circle. Then they use these tools to construct a perpendicular bisector and parallel lines. This lesson is partner collaborative, but could be adapted to use as direct instruction if desired. This resource is best followed up with my Constructions: Desmos Geometry Tools Exploration, because students can see multiple construction tools, and the rest of the bas

This bundle includes all of the vocabulary posters from Unit 1: Constructions & Rigid Transformations in Geometry.

This bundle includes all vocabulary posters from Unit 4: Trigonometry in Geometry: TrigonometryReference AngleOpposite SideAdjacent SideHypotenuseSineCosineTangentInverse SineInverse CosineInverse TangentCofunction IdentityUnit CircleAngle of DepressionAngle of ElevationEach poster is 8.5" by 11" and in my classroom, I laminate them and post them around the room during Unit 4. You can also get the handout version of these posters by buying the Unit 4: Trigonometry Vocabulary Sheet.

This bundle includes the following vocabulary and formula posters from Unit 1: Constructions & Rigid Transformations in Geometry: Vocabulary: TranslationRotationReflectionClockwise RotationCounterclockwise RotationFormulas: 180 Degree Rotation270 Degree or -90 Degree Rotation90 Degree or -270 Degree RotationX-Axis ReflectionY-Axis ReflectionReflection Over y=xTranslation LeftTranslation RightTranslation UpTranslation Down

This bundle includes the following posters from Unit 3: Similarity in Geometry: DilationEnlargement DilationReduction DilationCenter of DilationI print these, laminate them, and post them around my classroom during Unit 3.

This bundle includes the following vocabulary posters from Unit 2: Congruence in Geometry: AASSASSSSASAHLCPCTCIsosceles Triangle TheoremConverse to the Isosceles Triangle TheoremEquilateral TriangleCongruenceSequence of Rigid TransformationsReflectional SymmetryRotational SymmetryOrder of Rotational Symmetry

This bundle includes the following vocabulary posters from Unit 1: Inscribed Polygon Circumscribed Polygon Cyclic Polygon Perpendicular Bisector Median Altitude Angle Bisector Centroid Incenter Circumcenter Orthocenter

This bundle includes the following vocabulary posters from my Unit 1: Constructions & Rigid Transformations in Geometry: Alternate Interior AnglesAngle BisectorCentral AngleComplementary AnglesSupplementary AnglesCorresponding AnglesExterior AngleInterior AngleLinear PairVertical Angles

This bundle includes the following formula posters from Unit 1: Constructions & Rigid Transformations in Geometry: Formulas: 180 Degree Rotation270 Degree or -90 Degree Rotation90 Degree or -270 Degree RotationX-Axis ReflectionY-Axis ReflectionReflection Over y=xTranslation LeftTranslation RightTranslation UpTranslation Down

This set of vocabulary posters from Unit 1: Constructions & Rigid Transformations includes the following poster: Clockwise Rotation Counterclockwise Rotation Rotation Reflection Translation

This bundle includes all of the posters from Unit 3: Similarity in Geometry: DilationEnlargement DilationReduction DilationCenter of DilationAA SimilaritySAS SimilaritySSS SimilaritySimilar FiguresScale FactorSimilarityI print these, laminate them, and post them around my classroom during Unit 3.

This product includes all of the vocabulary terms from Unit 2: Congruence in Geometry: CongruenceSequence of Rigid TransformationsReflectional SymmetryRotational SymmetryOrder of Rotational SymmetryEquilateral TriangleIsosceles Triangle TheoremConverse to the Isosceles Triangle TheoremAngle Side Angle CongruenceSide Angle Side CongruenceSide Side Side CongruenceAngle Angle Side CongruenceHypotenuse Leg CongruenceCPCTC (Corresponding Parts of Congruent Triangles are Congruent)I give this sheet to