Answer:
Opening (2 minutes)
Move students into groups of two or three, and distribute the bags of tiles.
Mathematical Modeling Exercise (15 minutes)
Today, we will model a problem that happens in restaurants every day: moving tables together so that
everyone in a group can sit together. Use the square tiles to represent square tables. One person can sit along
each edge of a table side, no crowding. Our first goal is to find how many people can sit at tables made of
various numbers of square tables pushed together end to end.
How many chairs can fit around one square table? What is the perimeter of the square if the edge length is
one yard? Record the results in your table.
4; 4 yards
If two square tables are pushed together to form a longer rectangular table, how many chairs will fit around
the new table? What is the perimeter of the rectangle? Record the results in your table.
6; 6 yards
Make sure that each student can connect the square model on the desk to the picture on the classwork sheet.
If there are twice as many square tables in the new rectangular table, why can’t twice as many chairs fit
around it?
No chairs will fit right where the tables come together.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 21 6•4
Lesson 21: Writing and Evaluating Expressions―Multiplication and Addition
223
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Make a record of the number of chairs that will fit around longer rectangular tables when 3, 4, and 5 square
tables are pushed together to form long rectangular tables.
Mathematical Modeling Exercise
The Italian Villa Restaurant has square tables that the servers can push together to accommodate the customers. Only
one chair fits along the side of the square table. Make a model of each situation to determine how many seats will fit
around various rectangular tables.
Number of Square Tables Number of Seats at the Table
+ or ( + )
Are there any other ways to think about solutions to this problem?
Regardless of the number of tables, there is one chair on each end, and each table has two chairs opposite one another.
It is impractical to make a model of pushing tables together to make a long rectangle. If we did have a rectangle that
long, how many chairs would fit on the long sides of the table?
on each side, for a total of
How many chairs fit on the ends of the long table?
chairs, one on each end
How many chairs fit in all? Record it on your table.
chairs in all
Work with your group to determine how many chairs would fit around a very long rectangular table if square tables
were pushed together.
chairs on each side, totaling , plus one on each end; grand total
If we let represent the number of square tables that make one long rectangular table, what is the expression for the
number of chairs that will fit around it?
+
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 21 6•4
Lesson 21: Writing and Evaluating Expressions―Multiplication and Addition
224
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G6-M4-TE-1.3.0-09.2015
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Example (13 minutes)
Example
Look at Example 1 with your group. Determine the cost for various numbers of pizzas, and also determine the expression
that describes the cost of having pizzas delivered.
a. Pizza Queen has a special offer on lunch pizzas: $. each. They charge $. to deliver, regardless of how
many pizzas are ordered. Determine the cost for various numbers of pizzas, and also determine the
expression that describes the cost of having pizzas delivered.
Number of Pizzas Delivered Total Cost in Dollars
+
Allow the groups to discover patterns and share them.
What mathematical operations did you need to perform to find the total cost?
Multiplication and addition. We multiplied the number of pizzas by $ and then added the $ delivery fee.
Suppose our principal wanted to buy a pizza for everyone in our class. Determine how much this would cost.
Answers will vary depending on the number of students in your class.
b. If the booster club had $ to spend on pizza, what is the greatest number of pizzas they could order?
Students can use the “guess and check” method for answering this question. A scaffold question might be, “Could they
order 100 pizzas at this price?”
The greatest number of pizzas they could order would be . The pizzas themselves would cost
× $ = $, and then add $. for delivery. The total bill is $.
Step-by-step explanation:
The complete third row is solved and mentioned below -
6 2 5.5 -12 36 1/4
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the values of {a} and {b}.
We can complete the third row as -
- a = - (- 6) = 6- 4b = - 4 x - 1/2 = 2- a + b = 6 - 1/2 = 5.5a ÷ ( - b) = - 6/(1/2) = - 12a x a = 36b x b = 1/4The complete third row is -
6 2 5.5 -12 36 1/4
Therefore, the complete third row is solved and mentioned below -
6 2 5.5 -12 36 1/4
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ5
someone help asap plz
Answer:
96% your rounding would be 100%
Step-by-step explanation:
4% x 24= 0.96%
please help if you can):
1. How could you use the weight of $1,000 in coins to help you determine if you could lift $1,000,000 in coins?
2. What would $1,000,000 in dimes weigh? Could you lift it?
Leah's house has a media room with a large flat-screen television to watch movies. The media room television has a width of 8 feet and a height of 4.5 feet.
The flat-screen television in Leah's living room has a height of 36 inches and has the same width to height ratio as the media room television. What is the width of Leah's living room television?
A.48 inches
B.20 inches
C.80 inches
D.64 inches
Answer:
20
Step-by-step explanation:
This assignment is due in 15 minutes and this doesn't make sense at all. Please help!
Use what you know about triangles to classify this triangle.
Answer:
Right isosceles triangle
:)
Answer:
right isosceles triangle
Step-by-step explanation:
hope you have a great day
a cube has a volume of 125 cubic inches. what is the length of each edge?
Answer:
5 inches
Step-by-step explanation:
∛125 = 5 inches
Answer:
A cube is six sides the bottom, top, front, back, left, and right
So just divide 125 by 6 which is 21 (when rounded) per face
Hope this helps
a large 2 topping pizza, L, costs $2 more than a medium 3-topping pizza, M. what is the dependent variable and independent variable?
Answer:
dependent is medium independent is large.
Step-by-step explanation:
Answer:
large is independent med is dependent
Step-by-step explanation:
Help me pls! ill rate you very good!!!!
Answer:
S is the answer
Step-by-step explanation:
Absolute value describes the distance from zero that a number is on the number line.
S is the farthest from zero
Which of the following situations can be used to describe |−250|?
Select all that apply.
A businessman lost $250 from his bank account.
A car was driven 250 miles.
A $250 deposit in the bank
The distance from 0 is 250 km.
plssssssssssssssss heelppppppppppppppppppp
option A
Step-by-step explanation:
please mark me brainliest
third time asking h e l p m e.
Answer:
Lol! I'll help you!! Remember: listen to your teacher andyoull know this!
Step-by-step explanation:
a (4,2)
b(4,4)
c(-1,-4)
Help me this time plsssss
Answer:
LOOK UP ONLINE CALCULATOR IT WILLL HELP ALOT XO
Step-by-step explanation:
Statistics :Q6..........
over the last 2.5 years, the water level in a lake has changed by -0.3 ft per year. scientists predict that the water level will continue to go down for the next 5 years at a rate of 0.4 ft per year. based on this information, Andrew made several claims. determine whether each of the claims he makes is true or false (mark the answers that are true and false)
Answer:
a false b true c true d true c maybe false its a bit iffy for me
Step-by-step explanation:
A park creates new habitats for 182 new monkeys. Each habitat will house 8 or fewer monkeys. What is the least number of habitats the zoo will need?
Answer:
182 / 8 = 22.25
you have to round up to account for the .75, so the answer is 23
Step-by-step explanation:
The following dot plot represents student scores on the Unit 1 math test. Scores are in whole number increments.
For this data set, the value of the range is about (Choose...) the value of the interquartile range.
On average, the data points lie between (Choose...) points from the mean.
Answer:
Here is the answer.
16/24=0.66 ->67%
67%
Step-by-step explanation:
......................
1. twice
2. 2 and 3
A student wrote the equation 620 = 124n. Which situation is best represented by this equation?
A. Jaclyn paid $620 to stay at the hotel.
She paid $124 per night for two rooms each.
How many nights, n, did Jaclyn stay at the hotel?
B. Jaclyn paid $620 to stay at the hotel.
She paid $124 per night.
How many nights, n, did Jaclyn stay at the hotel?
C. Jaclyn paid $620 to stay at the hotel.
The hotel gave her a discount of $124 off the orginal price.
What was n, the amount of money Jaclyn would have original paid to stay at the hotel?
D. Jaclyn paid $620 for her and her sister to stay at the hotel.
Jaclyn stayed in her own room for several nights and paid $124 for her sister to stay in another room for one night.
What was n, the amount of money Jaclyn paid for her own room at the hotel for those days?
3/5 ÷ 5/9
Solve the problem. Type Final Answer Only IN SIMPLIFIED FORM, no spaces and Use the backslash for the fraction bar (Hint: Simplify before you multiply) *
Answer:
1 2/25
Step-by-step explanation:
3/5 divide by 5/9
3/5 times 9/5 equals 27/25
simplifiedis1 2/25
Please help. I only need parts a and b.
Answer:
oI know that for a they are pretty much the same shape im not sure how else to desribe it sorry
Step-by-step explanation:
please i need help asappp pleaseee
Answer: 246.93cm^3
Step-by-step explanation:
3.14 x 3.55^2 x 6.27
3.14 x 12.6025 x 6.27 = 246.928344
PLZZZ HELP
Expand.
Your answer should be a polynomial in standard form.
(2m-8)^2=
Answer:
4m^2 -3 2m + 64
Step-by-step explanation:
Which value us not a solution to 3 > w + 17
Answer:
w=3
Step-by-step explanation:
Answer: any number greater than -14
Example : 3 , 5 , -1 , 0
Step-by-step explanation:
Haydn made a scale model of a building.The actual height of the building is 75 feet. Haydn's model used a scale in which 1.5 inch represented 30 feet.What is the height in inches of Haydn's model?
Answer:
3.75 inches
Step-by-step explanation:
In order to find the height in inches of Haydn's model we have to look at the scale he is unsing. He is using a 1.5 In: 30 ft scale. so every 30 feet of the building is 1.5 inches of the model. divide the 75 by 30 feet to see how many times the 30 feet are used. 75 divided by 30 is 2.5. Now since we know that 30 occurse 2.5 times we can multiply 1.5 * 2.5. remimber for every 30 feet of the actual building there is 1.5 inches in the model. 1.5 * 2.5= 3.75 which gies us our answer.
75/30=2.5
1.5 * 2.5=3.75
hope that makes sence. :)
give brainlest on time limit pls help
Answer:
336 sq un
Step-by-step explanation:
The area of a rhombus is pq/2 where p and q are the diagonals.
you have:
p = 12 + 12 = 24
q = 18 + 10 = 28
so the formula would be:
24 * 28 / 2 = 336 sq un
i need help pls i will give you brainlist
Answer:
14 lb and 13 oz
Step-by-step explanation:
4 lb 15 oz and twice as much, in total?
1 lb = 16 oz
3(4 lb) and 3(15 oz)
12 and 45 oz = 2 lb and 13 oz
12 lb + 2 lb and 13 oz = 14 lb and 13 oz
The bake stars started with 3.5 pounds of power pasta. Luis and Marlana by 0.83 pounds. how much is left over?
Answer:
2.67
Step-by-step explanation:
They are asking for the total poundage of power pasta after some is removed. This means we subtract the amount removed from the original amount.
Hope this helps you
4000 peoplw attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
I only need #8, but if you want to do the others you can.
I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would appreciate it!
Answer:
the answer would be 460
Step-by-step explanation:
First, whenever you do an area that means that you multiply always.
second, you see that the height of the shaded part is 23 and the width of it is 20.
now we have to multiply the width times the height and that how you would get your answer
At Silver Gym, membership is $45 per month, and personal training sessions are $25 each. At Fit Factor, membership is $75 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy ____ personal training sessions to make the total cost at the two gyms equal.
HELPPP