Proportion

Math Response

Provide you answer in fraction $$\left(\frac{a}{b}\right)$$ Simplify the ratio 25 : 35

Type answer here

Correct Answer: \frac{5}{7}

Deg^°

Rad

Math Response

Provide you answer in fraction $$\left(\frac{a}{b}\right)$$ Simplify the ratio 18 : 45

Type answer here

Correct Answer: \frac{2}{5}

Deg^°

Rad

Math Response

Provide you answer in fraction $$\left(\frac{a}{b}\right)$$ Simplify the ratio 300 : 25

Type answer here

Correct Answer: \frac{12}{1}

Deg^°

Rad

Reorder

Divide Rp. 7000 in the ratio 5 : 3 : 2

• 3500

• 2100

• 1400

• 700

1

2

3

4

• 1
• 2
• 3
• 4

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Alex, Thomas, and Lydia have a total of 90 sweets. Alex and Thomas decide to share their combined sweets in the ratio 3:2. Lydia has 15 sweets less than what Thomas ends up with. How many sweets does Thomas have?

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Anna, Tom, and Lily together have 240 stamps. Anna and Tom decide to split their stamps in the ratio 3:4. Lily has 15 stamps more than what Tom ends up with. How many stamps does Anna have?

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Sophie and Luke together have a collection of pencils totaling 120. Sophie's pencils are divided into sharpened and blunt, with a ratio of 4:1. Luke has twice as many sharpened pencils as the number of Sophie's blunt pencils. If the total number of sharpened pencils between Sophie and Luke is 88, how many sharpened pencils does Sophie have?

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Rachel, Derek, and Kyle together have 210 bags of candy. Rachel and Derek decide to divide their candies in the ratio 5:2. Kyle has 25 bags less than what Rachel ends up with. How many bags of candy does Derek have?

Math Response

In the revered cathedral of Nazareth Hill, the heart of Christian values intertwines with fairness and sustainable development. Mr. Jones, tasked with refurbishing the cathedral's interiors, has a 240cm carpet roll to distribute across three distinct sections: a prayer sanctuary, a fellowship room, and the grand central nave, in the ratio of 1:2:5. Notably, the fellowship room's carpet will have a 10% border, reducing its coverage. Given these constraints, how long will the carpet piece be for the central nave?

Type answer here

Correct Answer: 15

Deg^°

Rad

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In a development competition, Chris and Molly won a prize. After deducting 10% for administrative costs, they decided to split the remaining amount in the ratio 2:3. With her 3 parts, Molly received Rp. 240. How much did Chris get from the prize money?

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Chris and Molly win money in a competition. They share the money in the ratio 2 : 3. Molly receives Rp. 240. How much money did they win in the competition?

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Aid Distribution in a Village: In a village, a Christian charity receives donations from a Local Church, the Community, and an NGO. The Church gives double what the Community donates, and the NGO gives three times the Community's amount. If the NGO donates 450 kilograms of rice, how much did the Church donate?

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Sustainable Training by James: James teaches sustainable farming in a village. He divides his time among farmers, teachers, and youth at a 4:3:5 ratio. If teachers get 12 hours, how many hours does he spend on all groups combined?

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In a seminar, three towns learn about community investment. Town A raises funds at a 3:2 ratio to Town B's $2,000. Town C's funds are at a 5:3 ratio compared to Town A. How much did Town C collect?

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In the fictional city of Ratioville, three plots of land are allocated for schools, parks, and hospitals. The city council decides on the following:

1. - The land for parks is three times as large as that for schools.

2. - The land for hospitals is twice as large as the combined area of parks and schools together.

If the total land allocated for schools is 12 hectares, determine the total land area set aside for parks and hospitals in Ratioville.

Why do we need to learn about ratio

​https://tinyurl.com/Ratio11

​Please type the link below
and put the sticky notes based on your opinion

Find 1 keyword that catch from the video

type your keywords in the sticky notes in the Jamboard!

https://tinyurl.com/propotion12

What is Proportion?
use your own words

type your ideas in the sticky notes in the Jamboard!

https://tinyurl.com/propotion12

​https://tinyurl.com/propotion12

Activity :
Based on the video :
Can you find in your environtment in the class that represent proportion

Let's explore google map

​Compare the actual distance and map distance
find the proportion that you will draw in your book

1. In your book, draw the shape of the map from point A to point B.

2. Give each turning point a letter from A to Z.

3. Measure the actual distance from one point to the next, and so on.

4. Write these distances down.

5. Check out how far it is from point A to point B.

6. Write: Actual distance is... km =... cm The book has a scale: 1 cm is equal to... cm (the actual distance). Put as = 1:....

7. From point A to point B, measure the actual distance and convert it to cm. We will figure out the distance on the paper that will be used to draw the picture this way: distance from point A to point B = 1/total distance in cm = x/distance from point A to point B in cm.

8. Figure out x (the distance from point A to the second point on the paper) by using the ideas of proportion and cross-multiplication.

​STEP

Activity

• You will measure the distance from your home to CCS

• Find the proportion if real .../500. 2/..., 3.5/...., .../250

• ​Compare the actual distance and map distance
  find the proportion that you will draw in your book

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Find the value of x, $\frac{2}{5}=\frac{x}{10}$

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Find the value of x, $\frac{1}{1000}=\frac{3.5}{x}$

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Find the value of x, $\frac{15}{x}=\frac{3}{250}$

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$\frac{x}{225}=\frac{25}{x}$ , find the value of jika x adalah a+6, maka tentukan nilai $\sqrt[]{a}$ adalah

2 types of proportions

• Direct Proportions

• Inverse Proportions

​What does direct proportion mean?
Using your own words

​1st unit

​2nd unit

value rise

value rise

​What does inverse proportion mean?
Using your own words

​1st unit

​2nd unit

value increase

value decrease

or

value decrease

value increase

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Edenbridge Farmers' Christian Initiative:

In Edenbridge, Christian farmers plant trees to fairly distribute food to the needy, living by the teaching: "To whom much is given, much will be required." They notice that 30 trees feed 150 people for a week. Now, with the number of needy rising to 375, how many more trees should they plant to uphold their values and cater to the increased demand?

Christian Values and Clean Water in Faithville:

In Faithville, the town council, guided by Christian principles, builds wells based on households without clean water. For every 50 households, they construct 2 wells. After a seminar, they identify a new area with 125 households needing water. How many wells should the council build there to ensure fairness and uphold Christian teachings?

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Bethlehem Bay's Lighthouse Upgrade:

In Bethlehem Bay, a community rooted in Christian values, the town wants to upgrade its lighthouse for the safety of more seafarers. The beam's strength is inversely proportional to the square of its reach. Currently, at 100 units of strength, it covers 10 kilometers. To ensure every traveler's safety, inspired by the Good Samaritan, they aim to extend its reach to 25 kilometers. What should the new beam strength be?