Name Due: 10-25-2017

6th Grade Math IA2, L007 (Ratio & Proportional Relationships) HW Team

Solving Ratio Problems with Tables, Day 2Homework

Directions: Use MOLE on each word problem below and remember to show all work.

Britney does sit-ups every day. The table shows how long it takes her to do different numbers of sit-ups.

1) How long do you predict it will take Britney to do 120 sit-ups?

A table of x and y values is shown.

Use the information shown in the table to complete questions 2 and 3 below:

2) The value of __(blank 1)___ is 3 times the corresponding value of __(blank 2)____.

a. blank 1 = x; blank 2 = xb. blank 1 = x; blank 2 = yc. blank 1 = y; blank 2 = yd. blank 1 = y; blank 2 = x

3) What is the ratio of x to y?a. 1:3b. 3:1c. 4:1

d. 3:4Mix It Up

4) Label every tick mark with its value on the number line above.5) What is the value of…

Point A: ______ Point B: ______ Point C: ______

6) Bobby thinks that the value of Point B is 25 . Explain why he is wrong.

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7) Fill in the table below:Number 10 2.5 3 ¼Absolute Value

True or false? If a number is positive, then its absolute value is always equal to the number itself.

Name Date: October 24, 20117Assignment: DN, 6 th Grade Math Team ______________Calculator: Yes/No, 5 minutes

Do Now 10.2

1) A cake weighs 4.5 pounds. If it is divided into 4 equal parts, how much does each piece weigh?a. 0.88 poundsb. 0.088 poundsc. 1.13 poundsd. 1.125 pounds

2) Which number line represents b < a

3) Which number best represents the location of point E on the number line below?

A -1.8B -1.6C -1.4D -1.3

4) Fill in the blanks:If a point is reflected over the x-axis, we change its _________________ to the opposite.

If a point is reflected over the y-axis, we change its ________________________ to the ____________.

5) The endpoints of a line are (-6, 1) and (-6, -3). What is the distance between the two points?

a. 1 unitb. 2 unitsc. 3 unitsd. 4 units

Name Date: October 24, 2017Assignment: Excellence, 6 th Grade Math Team

Excellence Sheet

26 ,891÷81 34 , 404÷61

66 ,748÷82 19 ,264÷64

Name Date: October 24, 2017Assignment: 6 th Grade Math Team

Distance on a Coordinate Grid: Olympiad Draft

The graph shows the locations of Point A and Point B. Point B is on the y-axis and has the same y-coordinate as Point B.

Point C is plotted at (x, - 4). The distance from Point A to Point C is equal to the distance from Point A to Point B.

What is the distance from Point A to Point C? What is the value of x? Explain how you determined the distance and the value of x.

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Name Date _________

6th Grade Math IA2, L007 (Ratios & Proportional Relationships) Team

Solving Ratio Problems with Tables, Day 2Key Takeaways:

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A (x, 4)B

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Part 1: Activating Foundational Knowledge

A local convenient store is offering a discount to its customers. The ratio between the purchase & the discount is constant. The table shows the discount for a purchase of $12.

Convenient StorePurchase Discount

$12 $10$48 ?

? $2

1) What is the discount on a purchase of $48?

2) What is the cost of an item with a discount of $2?

Part 2: Model & Log It

A different convenient store is offering a discount to its customers. The ratio between the purchase & the discount is constant. The table shows the discount for a purchase of $12.

Convenient StorePurchase Discount

$12 $6$15 ?

? $44

3) What is the discount on a purchase of $15?

4) What is the cost of an item with a discount of $44?

Part 3: Independent Practice (MILD)

5) The table below shows the money you earn based on the number of hours you work. The ratio of money earned to time worked is constant. Use the table to answer questions 1 and 2.

Part A: How much money would you earn if you worked 21 hours?a. $35b. $2.63c. $168d. $10.50

Part B: How many hours must you work if you want to earn $60?a. 480b. 7.5c. 18d. 46

6) A school’s intramural league wants to rent out a laser tag arena by the hour. The table shows the price of an arena for different numbers of hours. Suppose the arena charges at a constant rate. Fill in the missing values in the table. Show your work.

Part 4: Independent Practice (MEDIUM)

Zyio began this table to show equivalent ratios for x and y, but realized that he made a mistake. He wants to change one number to make the table correct. Look at each change. Would the change make the table be correct? Select yes or no.

Organized work space:

a. b.

c. d.

7) The table below lists four masses and their corresponding approximate weights on Earth.

a) The ratio of weight to mass is constant. Determine the value of x in the table.

b) What would be the weight on earth (in Newtons) for a mass of 320 kilograms?

8) The School Supply Store has some markers on sale. The table shows some sale prices.

Number of Markers 2 5 7 11Cost ($) $3.00 $7.50 $10.50 $16.50

How much do you predict you would pay for 10 markers? Show your work.

A school follows a strict student-to-parent ratio when going on field trips, as shown in the table below. Use the table to answer questions 6 and 7 below.

9) Some students will be going on an outing to the local police station. Their teachers invited 13 parents to accompany them. How many students do you predict will be going on the outing?a. 49 studentsb. 50 studentsc. 51 studentsd. 52 students

10) On Tuesday, all of the sixth graders will go to the Space Museum. Their teachers invited 21 parents to accompany them. How many sixth graders do you predict will be going to the Space Museum?a. 80 sixth gradersb. 82 sixth gradersc. 84 sixth gradersd. 86 sixth graders

Name Date: 10-24-2017

6th Grade Math IA2, L007 (Ratio & Proportional Relationships) ET Team

Solving Ratio Problems with Tables, Day 2Exit Ticket

The area of an airplane’s wings is related to the airplane’s lifting force, which holds the airplane in the air. The table below lists several wing areas and the corresponding lifting forces.

The ratio of lifting force to area is equivalent for all pairs in the table. What are the values of x and y? Show your work. (1 point = correct answer; 1 point = work shown)

a. x = 375 square feet and y = 7,500 poundsb. x = 335 square feet and y = 7,500 poundsc. x = 375 square feet and y = 6,300 poundsd. x = 335 square feet and y = 6,300 pounds

How well do you feel you understood and mastered our objectives in math class today? (Circle one)

1 2 3 4

I don’t understand this yet and need help

I am starting to understand this but I need more practice

I understand this and can do it by myself

I have mastered this and can explain it to help others

Optional: Is there anything you would like Ms. Schimmel to know? It can be something general, or something about how class went today.

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