 H. W. Mountz School
 Grade 8 Geometry

Units of StudyUnit 1: Basics of GeometryPoints, lines and planesMeasuring and constructing segmentsUsing midpoint and distance formulasPerimeter and area in the coordinate planeMeasuring and constructing AnglesDescribing pairs of anglesUnit 2: Reasoning and ProofsConditional StatementsInductive and Deductive reasoningPostulates and DiagramsAlgebraic reasoningproving statements about segments and anglesProving geometric relationshipsUnit 3: Parallel and PerpendicularPairs of lines and anglesParallel lines and tranversalsProofs with parallel linesProofs with perpendicular linesEquations of parallel and perpendicular linesUnit 4 TransformationsTranslationsReflectionsRotationsCongruence transformationsdilationssimilarity transformationsUnit 5 Congruent TrianglesAngles of Trianglescongruent polygonsEquilateral and Isosceles trianglesProving Triangles congruent by SSS, SAS, ASA, AAS
CTCTCCoordinate proofsUnit 6: Relationship with TrianglesPerpendicular bisector theorem and converse
angle bisector theorem and converse
Points of concurrency
Midsegments of a triangle
triangle inequality theorem
triangle longer side/ largest angle
triangle shortest side / smallest angle
Hinge theoremUnit 7 Quadrilaterals ans Other PolygonsAngles in polygons
Properties of parallelograms
Proving a quadrilateral is a parallelogram
Properties of special parallelogram
rectangles, rhombuses and squares
Properties of trapezoids and kitesUnit 8: SimilaritySimilar Polygons
Proving triangles similar
AA
SAS
SSS
Proportionality TheoremsUnit 9:Right Triangles and TrigonometryThe Pythagorean theorem and its converse
Pythagorean inequalities (classifying triangles)
Special Right triangles
Right triangle similarity
Geometric mean
Geometric mean (Altitude/Leg) theorems
Trig ratios
Angle of elevation and depression
Law of Sines
Law of Cosines
Unit 10 CirclesLines and segments that intersect circles
Finding arc measures
Using chords
Inscribed angles and polygons
Angle relationships in circles
Segment relationships in circles
Circles in the coordinate planeUnit 11: Circumference, Area and VolumeCircumference and arc length
Areas of circles and sectors
Areas of polygons
3D figures
Volumes of Prisms, cylinders, pyramids, cones and spheres
Surface area of cones and spheres