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| Activity Outcome | Reading, writing, saying and understanding whole numbers to 1 000 000's. Indices. Scaling | | MTS Set | MTS7 | | NATIONAL Curriculum | The Number System | | Topics | Understand Whole Numbers Powers | | Keywords | Powers, Large Numbers, Integers, Indices | | Grouping | Independent for the activity and small groups for the Investigation. | | Resources | Calculators, basketballs, tennis balls, measuring tapes or rulers, calculators | | Lesson Notes |
- Discuss relationships between whole numbers and powers of numbers (indices).
- Students make up other numbers represented as powers.
- Students work independently answering the questions.
- Discuss answers including strategies for solving problem 8 (e.g. use the calculator to find how many thousands of millions - 5 911 + 5 911 = 11 882 - and then add zeros for millions mentally: 11 882 000 000).
- Form students into groups to prepare strategies for solving the Investigation.
- Students share strategies (in particular, ideas about scaling) and revise their plans as necessary before working on the sports area.
- Students carry out the working for their scale solar system.
- Students compare models and evaluate their success in solving the problem.
| | Reflections | Students compare models and evaluate their success in solving the problem.
| | Internet Links | | | Answers | 1. Earth 149 000 000 1.49x108
Neptune 4 497 000 000 4.497x109
Jupiter 778 000 000 7.78x108
Pluto 5 911 000 000 5.911x109
Saturn 1 426 000 000 1.426x109
Mars 228 000 000 2.28x108
Mercury 58 000 000 5.8x107
Uranus 2 871 000 000 2.871x109
Venus 108 000 000 1.08x108
2. 5 (Earth, Jupiter, Mars, Mercury, Venus) 3. Pluto, Neptune, Uranus, Saturn 4. Uranus to Neptune (1 626 000 000 km) 5. Venus (41 000 000 km) 6. Uranus 7. 5 762 000 000 km (from Earth) 8. Use the calculator to find how many thousands of millions to Pluto and back - (5 911 – 149) x 2 = 11 524 – and then add zeros for millions mentally: 11 524 000 000).
Investigation: Answers will vary but a reasonable scale might be 1 metre = 50 000 000 km
2. 5 (Earth, Jupiter, Mars, Mercury, Venus) 3. Pluto, Neptune, Uranus, Saturn 4. Uranus to Neptune (1 626 000 000
km) 5. Venus (41 000 000 km) 6. Uranus 7. 5 762 000 000 km (from Earth) 8. Use the calculator to find how many
thousands of millions to Pluto and back - (5 911 - 149) x 2 = 11 524 - and then add
zeros for millions mentally: 11 524 000 000).
Investigation: Answers will vary but a reasonable scale might be 1 metre = 50 000 000 km |
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