Angles on a Straight Line
This lesson introduces Year 7 students to the geometric property that angles meeting at a point on a straight line sum to 180 degrees. It moves from simple subtraction to solving for variables (x) in algebraic contexts.
Learning objectives
- Recall that angles on a straight line sum to 180 degrees.
- Calculate missing angles on a straight line by subtracting known values from 180.
- Solve algebraic equations to find missing angles on a straight line.
- Apply angle facts to solve multi-step geometric problems.
Lesson plan (60 minutes)
Starter · 5 min
Do Now: Mental arithmetic and revision of acute/obtuse angle definitions.
Introduction · 10 min
Direct Instruction: Explaining the 180° rule, vocabulary, and modeling the calculation steps.
Guided Practice · 10 min
Guided Practice: Interactive whiteboards - solving 3 basic problems together.
Main Activity · 25 min
Independent Practice: Students work through Support, Core, or Stretch worksheets.
Review · 10 min
Plenary: Multiple-choice quiz to check for misconceptions and summary of learning.
Key vocabulary
- Straight Line
- A line that is perfectly flat, measuring 180 degrees.
- Degree (°)
- A unit of measurement for angles.
- Supplementary Angles
- Two or more angles that add up to 180 degrees.
- Right Angle
- An angle that is exactly 90 degrees, often marked with a square.
- Vertex
- The point where two or more lines meet.
Core worksheet (first questions)
- A straight line is divided into two angles: 42° and a. Find a.
- Calculate the missing angle if one angle is 123°.
- A straight line has three angles: a right angle, 48°, and b. Find b.
- Find x if the two angles on a line are x and 155°.
Quiz (sample)
1. What is the sum of angles on a straight line?
- A. 90°
- B. 180°
- C. 270°
- D. 360°
2. If one angle on a straight line is 50°, what is the other angle?
- A. 40°
- B. 50°
- C. 130°
- D. 140°
3. What is the mathematical term for two angles that add up to 180°?
- A. Complementary
- B. Supplementary
- C. Adjacent
- D. Reflex
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