Unit Plan 34 (Grade 4 Math): Geometry + Angles—Integrated Tasks
Draw and identify lines, rays, segments, and angle types; measure angles in degrees with a protractor; use angle addition and equations to find unknown angles in composed figures.
Focus: Draw/identify lines, rays, line segments, parallel/perpendicular lines, and angles; use a protractor to measure in degrees; apply angle addition to find unknown angles in composed figures.
Grade Level: 4
Subject Area: Mathematics (Geometry & Measurement—Angles)
Total Unit Duration: 5 sessions (one week), 45–60 minutes per session
I. Introduction
Students connect geometry vocabulary to measurement by drawing and identifying lines/rays/segments and angle types, then measuring angles with a protractor. They use angle measure additivity to write equations and solve for unknown angles in composed figures (e.g., intersecting lines, polygons, and real-world diagrams).
Essential Questions
- How do definitions (e.g., ray, angle, parallel) guide accurate drawings and measurements?
- Why is the degree a useful unit for measuring rotation and angle size?
- How can angle addition and equations help me find unknown angles in a complex figure?
II. Objectives and Standards
Learning Objectives — Students will be able to:
- Draw and identify points, lines, line segments, rays, angles (right/acute/obtuse), and parallel/perpendicular lines using precise vocabulary.
- Use a protractor to measure and sketch angles in whole-number degrees and explain measurement steps.
- Apply angle measure additivity to represent composed angles as a sum of non-overlapping parts.
- Write and solve simple equations to find unknown angles in composed figures and real-world contexts.
- Communicate reasoning with labeled diagrams, units (°), and checks for reasonableness.
Standards Alignment — CCSS Grade 4
- 4.G.1: Draw and identify lines, line segments, rays, angles (right/acute/obtuse), and identify parallel and perpendicular lines in two-dimensional figures.
- 4.MD.5: Recognize angle concepts; understand a degree as 1/360 of a circle; measure angles in degrees.
- 4.MD.6: Use a protractor to measure angles in whole-number degrees; sketch angles of specified measure.
- 4.MD.7: Apply angle measure additivity; find unknown angles by writing and solving equations (additive parts).
Success Criteria — Student Language
- I can name and draw lines, rays, segments, parallel, perpendicular, and angle types correctly.
- I can measure and sketch an angle to the nearest degree using a protractor and explain how I lined it up.
- I can decompose a shape into angles, write an equation using angle addition, and solve for the unknown.