Hello! This week we will continue to explore patterns!
Monday, May 11th, 2020: Relationships in Patterns (Day 1)
Watch the video on Relationships in Patterns
2. Play the interactive game:
http://www.mathk8.nelson.com/math7/quizzes/math7quizzes/gr7_ch4_les2-edited.htm
3. Complete the following activities.
ACTIVITY1:
Write a relation for the term for each number pattern.
A)
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B)
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C)
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ACTIVITY 2:
An equilateral triangle has three equal sides.
Write a relation for the perimeter of an equilateral triangle with side length k.
What is the perimeter of an equilateral triangle with side length 15 cm?
ACTIVITY 3:
On Enviro-Challenge Day, Grade 7 classes compete to see which class can collect the most garbage.
Each student in Ms. Thomson’s class pledges to pick up 6 pieces of garbage.
➤ How many pieces of garbage will be picked up when
the number of students is 5? 10? 15? 20? 25? 30?
➤ What pattern do you see in the numbers of pieces of garbage?
➤ Write a rule to find how many pieces of garbage
will be picked up, when you know the number of students.
➤ Write an algebraic expression for the number of pieces of garbage picked up by n students.
Tuesday, May 12th: Relationships in Patters (Day 2) + Scratch
Part 1: Review more activities in relationships in patterns
ACTIVITY 1:
The cost of soccer jerseys for the soccer team is $50 for the initial set-up, plus $15 for each jersey ordered.
a) Write a relation for the total cost of j jerseys.
b) Another company charges $80 for the initial set-up, and $12 per jersey. Write a relation for the total cost of j jerseys for this company.
c) Which company would charge less if you ordered 12 jerseys?
ACTIVITY 2
Suggest a real-life situation that could be represented by each relation.
a) n + 7 is related to n
b) 4s + 5 is related to s
c) 20 + 4d is related to d
ACTIVITY 3
There are n students in the concert band.
Write a relation for each statement.
- a) the total number of music stands, if each pair of students shares one stand
- b) the total number of chairs, if there are 4 more chairs than students
- c) the total number of sheets of music, if each student has 7 sheets
ACTIVITY 4:
A pizza with cheese and tomato toppings costs $8.00. It costs $1 for each extra topping.
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- a) Write a relation for the cost of a pizza with e extra toppings.
- b) What is the cost of a pizza with 5 extra toppings?
- c) On Tuesdays, the cost of the same pizza with cheese
and tomato toppings is $5.00. Write a relation for the cost of a pizza with e extra toppings on Tuesdays. - d) What is the cost of a pizza with 5 extra toppings on Tuesdays?
- e) How much is saved by buying the pizza on Tuesday?
ACTIVITY 5:
Koko is organizing an overnight camping trip. The cost to rent a campsite is $20. The cost of food is $9 per person.
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- a) How much will the trip cost if 5 people go? 10 people go?
- b) Write a relation for the cost of the trip when p people go.
- c) Suppose the cost of food doubles.Write a relation for the total cost of the trip for p people.
- d) Suppose the cost of the campsite doubles.Write a relation for the total cost of the trip for p people.
- e) Explain why using the variable p is helpful.
Part 2: Coding
Play the following STAR WARS game on Minecraft https://studio.code.org/s/starwarsblocks/stage/1/puzzle/1
For each step of the game, can you come up with an algebraic expression?
Wednesday, May 13th: Patterns & Relationships in Tables
Watch the following video
2. Play the following games
- http://www.mathk8.nelson.com/math7/quizzes/math7quizzes/gr7_ch4_les3-edited.htm
- http://www.mathk8.nelson.com/math7/quizzes/math7quizzes/gr7_ch4_les4-edited.htm
- http://www.mathk8.nelson.com/math7/quizzes/math7quizzes/gr7_ch4_les5-edited.htm
3.Complete the following activities:
- Copy and complete each table..
| Input n |
Output 14 – n |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 |
| Input n |
Output 3n |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 |
2. Write a relation for each Input/Output table. (Find the algebraic expression for each table)
| Input n |
Output
|
| 1 | 9 |
| 2 | 18 |
| 3 | 27 |
| 4 | 36 |
| 5 | 45 |
| Input n |
Output
|
| 1 | 11 |
| 2 | 16 |
| 3 | 21 |
| 4 | 26 |
| 5 | 31 |
| Input n |
Output
|
| 1 | 4 |
| 2 | 9 |
| 3 | 14 |
| 4 | 19 |
| 5 | 24 |
| Input n |
Output
|
| 7 | 1 |
| 21 | 3 |
| 35 | 5 |
| 49 | 7 |
| 63 | 9 |
Thursday, May 14th: Math Project of the week
[embeddoc url=”https://ourvirtualclass.edublogs.org/files/2020/05/SD38_6-7_Math_4-1.pdf” download=”all” viewer=”google” ]
Read the worksheet below. Choose one of the activities. Show you work on MyBluePrint in the Math Project #8 section.
