Year 10 - Maths
Checking and securing understanding of converting between metric and imperial measures
2D and 3D shape: compound shapes
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, knowledge of circles and polygons is drawn upon to find the arc length and area of a circle sector and areas of complex compound shapes.
Lesson Summary
You will learn to convert between metric and imperial measurements.
Key Notes
- Ratios are often used to describe converting between metric and imperial measurements.
- The ratio is either in the simplest form or in unitary form.
- 5 miles is roughly 8 kilometers, the approximation is to allow for easy mental calculations.
Vocabulary To Learn
- Metric unit: Metric units are based around the standard units of metre, gram and litre.
- Centi-: Centi placed before a unit means 1/100
- Milli-: Milli placed before a unit means 1/1000
- Kilo: Kilo placed before a unit means 1000 times.
- Imperial unit: Imperial is a system of units for measuring, which was created in the early 1800s during the British Empire.
Common Mistakes To Avoid
- 800 cm is further than 80 m because 800 is a larger number than 80.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Ratios are often used to describe converting between metric and imperial measurements. The ratio is either in the simplest form or in unitary form.
2. Use this key word in a maths sentence and explain it clearly. 'Metric unit'
Metric units are based around the standard units of metre, gram and litre. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: 800 cm is further than 80 m because 800 is a larger number than 80. Correction: Each unit of distance (e.g. cm, metre, km) describes a different-sized distance. 1 cm is 1/100 the size of a metre, meaning that 800 cm = 8 m is a shorter distance than 80 m.
More Lessons In This Unit
- Area of a sector Study Guide
- Area of compound shapes Study Guide
- Calculating arc length Study Guide
- Checking and securing understanding of area for compound shapes Study Guide
- Checking and securing understanding of area for standard shapes Study Guide
- Checking and securing understanding of circles Study Guide
- Checking and securing understanding of perimeter for compound shapes Study Guide
- Checking and securing understanding of perimeter for standard shapes Study Guide
- Checking and securing understanding of scales and conversion Study Guide
- Equations from complex shapes Study Guide
- Perimeter and area in a contextual setting Study Guide
- Problem solving with 2D shapes Study Guide
- Problem solving with complex 2D shapes Study Guide
- Shapes on coordinate grids Study Guide
- Shapes within shapes Study Guide
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