High School Geometry Curriculum Map 2023-2024 with Norms, Reasoning, and Transformations

Magnolia High School Geometry Curriculum Map 2023-2024 Week Topics/ Concepts Standard(s) Vocabulary Lessons Activities/Labs Reasoning in Geometry Unit (10 days) G.LA.2 1 Norms, Construction Basics, Inductive Reasoning Math Medic Creating Definitions Math Medic Inductive Reasoning Constructions Art Counterexample, inductive reasoning, conclusion, conjecture, theorem (envision 1.2, 1.4) 2 Deductive Reasoning Deductive reasoning Math Medic What is Deductive Reasoning Math Medic Using Deductive Reasoning Optional Math Medic Visual Reasoning (envision 1.5)

Week Topics/ Concepts Standar d(s) Vocabulary Lessons Activities/Labs Building Blocks of Geometry (16 days) 3 Points, Lines, Segments, Rays, Midpoint, Partitioning a segment (envision 1.1, 1.3) G.LA.1 G.LA.3 G.LA.4 Point, segment, ray, line, plane, parallel, perpendicular, bisect, congruent, midpoint, horizontal and vertical distance, between Math Medic Points, Lines, Segments, and Rays Math Medic Coordinate Connection: Midpoint 1-3 Additional Practice (envision) Delta Math Breaking a line segment into ratios *Need lesson on Partition a segment G.LA.1 G.LA.7 Acute, right, obtuse, straight, angle bisector, adjacent, complementary, supplementary, vertical angles, congruent, linear pair, intersect 4 Naming and Classifying angles, vertical angles and linear pairs, angles on parallel lines (envision 1.1, Math Medic Naming and Classifying angles Math Medic Vertical Angles and Linear Pairs Math Medic Angles on Parallel Lines 5 Angles on parallel lines, parallel/ perpendicular equations (envision 2.1, 2.2, 2.4) G.LA.5 G.LA.6 Corresponding, alternate interior, alternate exterior, same side interior, same side exterior, transversal, parallel, perpendicular, slope, y- intercept, opposite reciprocal slopes Math Medic Coordinate Connection: Parallel vs. Perpendicular 2-1 Additional Practice (envision) 2-2 Additional Practice (envision) 2-4 Additional Practice (envision) Day 2 6a Assessment

Week Topics/ Concepts Standar d(s) Vocabulary Lessons Activities/Labs Congruence Transformations Unit ( 10 days) image, line/axis of reflection preimage, reflection, transformation, rigid motion translation, composition of rigid motion, translation rule 6b Translation, Reflection G.TRF.1 G.TRF.3 MM Translations MM Reflections (envision 3.2, 3.1) angle of rotation, center of rotation, rotation, clockwise, counterclockwise 7 Rotation, Compositions of Transformations G.TRF.1 G.TRF.3 G.TRF.5 G.SC.4 MM Rotations MM Compositions of transformations Day 1 MM Compositions of transformations Day 2 (envision 3.3, 3.4) Congruence, isometry 8a Assessment G.TRF.4 MM Definitions of Congruence (envision 4.1)

Week Topics/ Concepts Standar d(s) Vocabulary Lessons Activities/Labs Triangles and Proof Unit (23 days) G.GF.8 8b MM What Makes a Triangles MM Triangle Properties MM Proving the Exterior Angle Conjecture What makes a triangle, Triangle Properties Equilateral, isosceles, scalene, acute, right, obtuse, exterior angle, interior angle, non- adjacent angles, Triangle Sum Conjecture, Exterior Angle Conjecture (envision 4.2) G.GF.8 9 Interim/Angle Side Relationships Base angles MM Angle Side Relationships in Triangles G.RT.2 G.LA.4 1 Right Triangles, Pythagorean Theorem, Distance Formula Leg, hypotenuse, Pythagorean Theorem, Distance Formula, simplest radical form MM Right Triangles and Pythagorean Theorem MM Coordinate Connection: Distance G.SC.5 2 Test/Triangle Congruence CPCTC, correspondingparts of triangles, Reflexive Property, SSS, SAS, ASA, AAS & HL Triangle Congruence Theorems MM Establishing Congruent Parts in Triangles MM Triangle Congruence Shortcuts MM - More Triangle Congruence Shortcuts (Day 1) MM More Triangle Congruence Shortcuts (Day 2) (envision 4.3, 4.4, 4.5,4.6) G.SC.5 3 Triangle Congruence Proofs Given statements, proof statement, flowchart proof, reason, two column proof, paragraph proof MM Triangle Congruence Proofs Day 1 MM Triangle Congruence Proofs Day 2 (envision 4.3, 4.4, 4.5, 4.6)

Week Topics/ Concepts Standard(s) Vocabulary Lesson Activities/Labs Quadrilaterals Unit (9 days) G.GF.6 G.GF.7 4 Quadrilateral, parallelogram, rectangle, rhombus, trapezoid, isosceles trapezoid, square, kite MM Quadrilateral Hierarchy MM Proving Parallelogram Properties MM Properties of Special Parallelograms Quadrilateral Hierarchy, Properties of Parallelograms (envision 6.3,6.4.6.5,6.6) 5 G.GF.7 Pythagorean theorem, distance formula, parallel slopes, perpendicular slopes, opposite reciprocals MM Coordinate Connections: Quadrilaterals in the Plane Quadrilaterals in the Plane

Week Topics/ Concepts Standar d(s) Vocabulary Lessons Activities/Labs Similarity Unit (12 days) Dilations, Scale Factor, Similarity, Proving similar figures 6 G.SC.1 G.TRF.2 MM Dilations, Scale Factor, and Similarity MM Coordinate Connection: Dilations on the Plane MM Proving Similar Figures (envision 7.1,7.2) Similarity shortcuts and Proportional segments between parallel lines 7 G.SC.2 MM Triangle Similarity Shortcuts MM Proportional Segments between Parallel Lines (envision 7.3,7.4, 7.5) Interim/Semester Test Review 8

Week Topics/ Concepts Standard(s) Vocabulary Lesson Activities/Labs Special Right Triangles and Trigonometry Unit (16 days) G.RT.1 1 MM 45 45 90 Triangles 45-45-90 Triangles (envision 8.1) 30-60-90 Triangles, Trig Ratios, Solve for Missing Sides 2 G.RT.1 G.RT.3 G.RT.4 G.RT.5 MM 30 60 90 Triangles MM Trig Ratios MM Using Trig Ratios to Solve for Missing Sides (envision 8.1, 8.2, 8.5) Inverse Trig Ratios 3 G.RT.4 G.RT.5 MM Inverse Trig Ratios Applications of Trig (elevation/depressi on) (envision 8.5) Geometric Mean (envision 7.4) 4 G.RT.6 MM Applications of Trigonometry

Week Topics/ Concepts Standard(s) Vocabulary Lessons Activities/Labs Circles (21 days) Equation of a circle, Vocab, Tangents (envision 9.3) (envision 10.2) G.CIR.1 G.CIR.6 G.CIR.7 G.CIR.8 5 MM Coordinate Connections: Equation of a Circle MM Circle Vocabulary MM Tangents to Circles Chords and arcs 6 G.CIR.2 MM Chords and Arcs Envision (10.3,10.4) Perpendicular Bisectors of chords Inscribed angles and quadrilaterals (w/ construction) (envision 10.3) Area and circumference, area of a sector, arc length 7 G.CIR.2 MM Perpendicular Bisectors of Chords MM Inscribed Angles and Quadrilaterals 8 G.CIR.3 G.CIR.4 MM Area and Circumference of a Circle MM Area of a Sector MM Arc Length (envision 10.1) Unit Test 9a

Week Topics/ Concepts Standard(s) Vocabulary Lesson Activities/Labs Surface Area and Volume Unit (19 days) 9b Volume of Prisms and Cylinders G.GF.1 MM Introducing Volume with Prisms and Cylinders (envision 11.2) 10 Surface Area and Volume of Prisms and Cylinders, Volume of Pyramids and Cones, Surface Area of Pyramids and Cones G.GF.3 G.GF.4 MM Surface Area and Volume of Prisms and Cylinders MM Volume of Pyramids and Cones MM Surface Area of Pyramids and Cones (envision 11.3) 11 Interim/Assessments 1 Volume of Spheres, Surface Area of Spheres, Problem solving with Volume G.GF.1 G.GF.2 MM Volume of Spheres MM Surface Area of Spheres MM Problem Solving with Volume (envision 11.4)

Week Topics/ Concepts Standards(s) Vocabulary Lesson Activities/Labs Unit (9 days) G.GF.9 G.GF.10 2 Calculate Perimeter and area in Coordinate Plane 3 Geometric Probability G.GF.12