# Pacing Guide for Geometry

The Geometry math curriculum was designed to be implemented over the course of a single school year. It includes eight units of study over 147 instructional days (including days for lessons, flex days, and unit assessments). We intentionally did not account for all 180 instructional days in order for teachers to fit in additional review or extension, teacher-created assessments, and school-based events.

Each unit includes a specific number of lessons, a day for assessment, and a recommended number of flex days (see the table below) which can be used at the teacher’s discretion.

Each lesson was designed to be implemented within, approximately, a 60-minute class period. A suggested breakdown of a typical class period is shown below; however, this time allotment will vary depending on the lesson and lesson structure chosen by the teacher.

• 5–10 minutes: Warm up
• 25–30 minutes: Anchor Problems
• 15–20 minutes: Problem Set
• 5–10 minutes: Target Task
Lessons Flex Days + Assessment Total

#### Unit 1: Constructions, Proof, and Rigid Motion

Topic A: Constructions of Basic Geometric Figures

Topic B: Justification and Proof of Angle Measure

Topic C: Translations of Points, Line Segments, and Angles, and Parallel Line Relationships

Topic D: Reflections and Rotations of Points, Line Segments, and Angles

19 2 21

#### Unit 2: Congruence in Two Dimensions

Topic A: Introduction to Polygons

Topic B: Rigid Motion Congruence of Two-Dimensional Figures

Topic C: Triangle Congruence

Topic D: Parallelogram Properties from Triangle Congruence

18 2 20

#### Unit 3: Dilations and Similarity

Topic A: Dilations off the Coordinate Plane

Topic B: Dilations on the Coordinate Plane

Topic C: Defining Similarity

Topic D: Similarity Applications

18 2 20

#### Unit 4: Right Triangles and Trigonometry

Topic A: Right Triangle Properties and Side-Length Relationships

Topic B: Right Triangle Trigonometry

Topic C: Applications of Right Triangle Trigonometry

Topic D: The Unit Circle

Topic E: Trigonometric Ratios in Non-Right Triangles

19 2 21

#### Unit 5: Polygons and Algebraic Relationships

Topic A: Distance on the Coordinate Plane

Topic B: Classify Polygons using Slope Criteria and Proportional Line Segments

Topic C: Area and Perimeter On and Off the Coordinate Plane

15 2 17

#### Unit 6: Three-Dimensional Measurement and Application

Topic A: Area and Circumference of Circles

Topic B: Three-Dimensional Concepts and General Volume

Topic C: Cavalieri's Principle, Spheres, and Composite Volume

Topic D: Surface Area, Scaling, and Modeling with Geometry

18 2 20

#### Unit 7: Circles

Topic A: Equations of Circles

Topic B: Angle and Segment Relationships in Inscribed and Circumscribed Figures

Topic C: Arc Length, Radians, and Sector Area

14 2 16

#### Unit 8: Probability

Topic A: Conditional Probability and the Rules of Probability

10 2 12
Total