Share & grow the world's knowledge!
We want to connect the people who have knowledge to the people who need it, to bring together people with different perspectives so they can understand each other better, and to empower everyone to share their knowledge.
Find your own patterns or relations in and among the sequences in Table 1. Can you explain why they happen with a picture or otherwise?
Uses of Mathematics in Everyday Life: 1 Cooking: When we measure ingredients to cook a recipe, we use math to ensure the quantities are correct. 2 Shopping: Calculating the total cost of items and figuring out discounts involves basic math. 3 Traveling: We use Maths to determine distances, travel tiRead more
Uses of Mathematics in Everyday Life:
See less1 Cooking: When we measure ingredients to cook a recipe, we use math to ensure the quantities are correct.
2 Shopping: Calculating the total cost of items and figuring out discounts involves basic math.
3 Traveling: We use Maths to determine distances, travel time, and fuel usage.
4 Sports: Keeping track of scores, calculating averages, and determining player statistics all involve math.
5 Banking: Simple mathematics is used when managing money, such as saving, spending, and calculating interest.
How has mathematics helped propel humanity forward? (You might think of examples involving: carrying out scientific experiments; running our economy and democracy; building bridges, houses or other complex structures; making TVs, mobile phones, computers, bicycles, trains, cars, planes, calendars, clocks, etc.)
How Mathematics Has Helped Humanity: 1 Building Structures: Engineers use math to design and construct buildings, bridges, and other structures to ensure they are safe and stable. 2 Technology Development: Math is crucial in creating and improving technologies like computers, mobile phones, and TVs.Read more
How Mathematics Has Helped Humanity:
See less1 Building Structures: Engineers use math to design and construct buildings, bridges, and other structures to ensure they are safe and stable.
2 Technology Development: Math is crucial in creating and improving technologies like computers, mobile phones, and TVs.
3 Scientific Research: Mathematics helps scientists conduct experiments, analyse data, and make predictions.
4 Running Economies: Economists use math to model economic systems, forecast trends, and manage financial markets.
5 Space Exploration: Math enables us to calculate the trajectories needed to send satellites and spacecraft into orbit and beyond.
Can you recognize the pattern in each of the sequences in Table 1?
Recognising the Patterns in Sequences: 1. All 1's Sequence (1, 1, 1, 1, ...): Each number in the sequence is always 1. 2. Counting Numbers (1, 2, 3, 4, ...): Each number increases by 1. 3. Odd Numbers (1, 3, 5, 7, ...): Each number increases by 2, starting from 1. 4. Even Numbers (2, 4, 6, 8, ...):Read more
Recognising the Patterns in Sequences:
See less1. All 1’s Sequence (1, 1, 1, 1, …): Each number in the sequence is always 1.
2. Counting Numbers (1, 2, 3, 4, …): Each number increases by 1.
3. Odd Numbers (1, 3, 5, 7, …): Each number increases by 2, starting from 1.
4. Even Numbers (2, 4, 6, 8, …): Each number increases by 2, starting from 2.
5. Triangular Numbers (1, 3, 6, 10, …): The difference between consecutive numbers increases by 1 each time.
6. Squares (1, 4, 9, 16, …): Each number is the square of a natural number (e.g., 1², 2², 3², …).
7. Cubes (1, 8, 27, 64, …): Each number is the cube of a natural number (e.g., 1³, 2³, 3³, …).
Rewrite each sequence of Table 1 in your notebook, along with the next three numbers in each sequence! After each sequence, write in your own words what is the rule for forming the numbers in the sequence.
Extending Sequences in Table 1: 1. All 1’s Sequence: The next three numbers are 1, 1, 1. The rule is that every number in the sequence is 1. 2. Counting Numbers Sequence: The next three numbers are 8, 9, 10. The rule is to add 1 to the previous number. 3.Odd Numbers Sequence: The next three numbersRead more
Extending Sequences in Table 1:
See less1. All 1’s Sequence: The next three numbers are 1, 1, 1. The rule is that every number in the sequence is 1.
2. Counting Numbers Sequence: The next three numbers are 8, 9, 10. The rule is to add 1 to the previous number.
3.Odd Numbers Sequence: The next three numbers are 15, 17, 19. The rule is to add 2 to the previous number.
4. Even Numbers Sequence: The next three numbers are 16, 18, 20. The rule is to add 2 to the previous number.
5. Triangular Numbers Sequence: The next three numbers are 36, 45, 55. The rule is to add the next counting number to the previous triangular number (e.g., 1 + 2 = 3, 3 + 3 = 6, 6 + 4 = 10, …).
6. Squares Sequence: The next three numbers are 64, 81, 100. The rule is to square the next counting number (e.g., 8² = 64, 9² = 81, 10² = 100).
7.Cubes Sequence: The next three numbers are 125, 216, 343. The rule is to cube the next counting number (e.g., 5³ = 125, 6³ = 216, 7³ = 343).
Copy the pictorial representations of the number sequences in Table 2 in your notebook, and draw the next picture for each sequence!
The pictorial representations of the number sequences:
The pictorial representations of the number sequences:
See less