Conduct a survey using one of the topic below. You will need to collect, organize, and analyze the data and summarize your findings.
The topics are as follows:
*The types of sneakers learners in your school wear.
*The number of times a week learners play football.
Use the following steps as guidelines.
Write down you will ask people in your survey.
State whether the data is categorical or numerical. If it is numerical, state whether it is descrete or continuous.
Decide how you will collect the data to answer the question.
How will you record the data.
Predict how your results will be. Write down your predictions.
Design an instrument to collect the data.
Decide who you will include in your survey and how you will collect data from them.
Remember, you need to collect data from both girls and boys.
Collect the data.
Draw up a neat tally table to summarize the data you have collected. Include the totals of each category.
Draw one or more graphical form to represent and summarize your data.
Briefly describe the key features of a project and an investigations forms of assessment recommended in mathematics
How much will 12 litres of juice cost if 1.5 litres cost R24?
Briefly discuss, from your view and knowledge, the advantages and disadvantages of integrating technology in the teaching and learning of numbers giving a real-life situation in South African schools.
Discuss the two advantages and disadvantages of integrating numerical knowledge with technology in the mathematic classroom.
Consider the following examples in real-world situations that describe a correspondence
between phenomena:
• The total cost for repairing a cell phone is R320 for parts plus R50 per hour for labor. • Siphokazi sells 70% alcohol-based hand sanitisers. She earns R230 a week and receives a commission of 15% of her sales. • The amount by which your savings will grow in a year depends on the interest offered by the bank. • The area of a circle depends on the radius of the circle. • A rental van costs R230 per day plus R4,30 per kilometer
(a) Express each situation in functional words. For example, the income tax is a function of the total income. (8)
(b) For each situation, indicate the dependent and independent variables. (5)
(c) Write the two variables as an ordered pair, and write the function using the notation 𝑦 = (𝑥). (5)
(d) Explain the meaning of a function in your own words. Illustrate with your own specific example.
Explain Mathematics and Society
Prove that 2n+1 > (n + 2) · sin(n) for all positive integers n.