Identifying a pattern

4, 9, 14, 19....

1. How is the pattern changing?
2. Write a sentence describing where the pattern begins, and how it changes.
3. Use the rule to extend the pattern and show the next 4 terms in the pattern.
4. How do you know your extended pattern is correct?

Complete questions 1 to 4 for the following pattern:

77, 73, 69, 65...

Record your ideas digitally, orally, or in print or using a method of your choice.

School concert

The students at Pythagoras Middle School are organizing a concert to raise money to pay for their new gym mural. Examine the School Concert Ticket Sales graph and answer the following questions.

1. How much money will they make for the 4th and 5th ticket?
   Draw a line through the first three points you plotted.
   Can you extend the line to find the answer?
   How will you know what the answer is?
2. Create a table or detailed description digitally, orally, or in print, with "x" (tickets sold) and "y" (money made).
   Include the first 6 term numbers and term values.
3. What is the pattern for tickets sold and money made?
   Describe the pattern.
4. What is the algebraic expression for "n" tickets sold?
5. The school had to rent some lighting equipment for the concert, so the first $125 of ticket sales has to cover those costs before they earn money for the gym mural.
   How many ticket sales will get them the first $125?
   How many ways can you find this number?
   Explain your ideas using a method of your choice.
6. 155 people came to watch the concert.
   Use your nth term expression to solve for money they received from the ticket sales.
   After paying for lighting rental, how much money did they make for their gym mural?
   Record your ideas using a method of your choice.

Press ‘Reveal’ for sample responses.

Reveal

At the snack bar

A snack bar has 25 snacks for sale. Each customer buys 3 snacks.

1. Record an algebraic expression to demonstrate how the number of snacks that remain is related to the number of customers.
2. Make a t-table or create a detailed description to demonstrate this pattern. Start the table with 0 customers (term number) and 25 snacks (term value).
3. Graph the data or create a detailed description by writing or creating an audio recording which describe the data.

Use the data to answer these questions and record your ideas digitally, orally, or in print.

1. How many snacks remain after 7 customers?
2. When will the snack bar not have enough snacks, assuming each customer must always buy snacks in multiples of 3?

Reflection

As you read the following descriptions, select the one that best describes your current understanding of the learning in this activity. Press the corresponding button once you have made your choice.

I feel...

I have an excellent understanding of the concepts   I have a very good understanding of the concepts   I have some understanding but need to review some more  my understanding of the concepts needs a lot more work

Now, expand on your ideas by recording your thoughts using a voice recorder, speech-to-text, or writing tool.

When you review your notes on this learning activity later, reflect on whether you would select a different description based on your further review of the material in this learning activity.