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Virtual Math Class: Week of May 11th

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)

Term Number 1 2 3 4 5
Term 7 8 9 10 11

 

B)

Term Number 1 2 3 4 5
Term 7 14 21 28 35

 

C)

Term Number 1 2 3 4 5
Term 4 7 10 13 16

 

 

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.

  1. a) the total number of music stands, if each pair of students shares one stand
  2. b) the total number of chairs, if there are 4 more chairs than students
  3. 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.

    1. a)  Write a relation for the cost of a pizza with e extra toppings.
    2. b)  What is the cost of a pizza with 5 extra toppings?
    3. 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.
    4. d)  What is the cost of a pizza with 5 extra toppings on Tuesdays?
    5. 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.

    1. a)  How much will the trip cost if 5 people go? 10 people go?
    2. b)  Write a relation for the cost of the trip when p people go.
    3. c)  Suppose the cost of food doubles.Write a relation for the total cost of the trip for p people.
    4. d)  Suppose the cost of the campsite doubles.Write a relation for the total cost of the trip for p people.
    5. 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

  1. http://www.mathk8.nelson.com/math7/quizzes/math7quizzes/gr7_ch4_les3-edited.htm
  2. http://www.mathk8.nelson.com/math7/quizzes/math7quizzes/gr7_ch4_les4-edited.htm
  3. http://www.mathk8.nelson.com/math7/quizzes/math7quizzes/gr7_ch4_les5-edited.htm

 

3.Complete the following activities:

  1. 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.

 

 

One Comment

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