All the Way Around: Angles Around a Point

About This Resource

A complete Grade 5 math pack on angle facts at a point. Students learn that angles around a point add up to 360°, angles on a straight line add up to 180°, and vertically opposite angles are equal, then find missing angles in labeled diagrams. Includes slides, a lesson plan, worksheet, quiz, homework, A5 flashcards, a rubric, Word files and answer keys.

Overview

When several angles meet at a point and go all the way around, they make a full turn of 360°. Students use this fact to find a missing angle by adding the known angles and subtracting from 360. They compare it with angles on a straight line (180°) and discover that when two straight lines cross, the opposite angles are equal. Each problem comes with a diagram so students can estimate before they calculate.

Resource Details

Subject: Math
Topic: Angles Around a Point
Category: Shapes & Geometry
File Type: PDF
File Size: 362.7 KB
Published: 14 Nov 2026
Downloads: 0

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Grade 5 (ages 10–11) 50 minutes Geometry calculation reasoning

Learning Objectives

Know that angles around a point add up to 360°.
Find a missing angle around a point by calculation.
Use angles on a straight line and vertically opposite angles.

How to Use This Resource

Ask a student to make a full turn. Ask: "How many degrees is that?"
Teach the angle facts with the slides, then do activities 1 and 2 together.
Students complete activities 3 to 6. Use the quiz and send the homework page home.

Classroom Activity Ideas

Paper plate angles: cut a paper plate into three pieces, measure each angle and check the total is 360°.
Estimate first: students estimate each missing angle before calculating.
Cross the lines: students draw two crossing lines, measure the four angles and look for patterns.

Differentiation

Support: start with two angles around a point and give a 360° reminder card. Challenge: include angles written as expressions and multi-step problems.

Assessment

Use the worksheet and quiz to check calculations. Use the rubric for explanations in activity 6.

Teacher Tips

Encourage students to estimate first using right angles (90°) as a benchmark; this catches calculation mistakes. Remind them that diagrams in these problems are labeled, so they should use the numbers rather than measure.

What's Included

11-page printable PDF lesson pack: teacher lesson plan with timings, materials and differentiation
Key vocabulary list (6 words with meanings and examples)
Student worksheet (6 activities)
Quiz / assessment (3 parts)
Homework practice page
Printable flashcards: 6 A5 picture cards (separate PDF)
Assessment rubric (4 levels)
Lesson slides (editable PowerPoint)
Editable Word version of all student pages
Complete answer key (also as a separate PDF)