6.RP.A.3.a

Knights of the Coffee Bar Tables

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Game Info for Teachers

COMBINED RATING

3.8 Stars

TEACHERS (27)

3.8

STUDENTS (10830)

3.9

LENGTH

17 Minutes

GRADES

CAPABILITIES

iPad Support

Spanish Language Support

Text-to-Speech Support

Description

In Knights of the Coffee Bar Tables you take the role of Tapioca the cat in her quest to become the best barista in the realm! With the help of her assistant Congo you will learn the nitty-gritty of tape diagrams and double line diagrams to help her run the most successful business ever!

Vocabulary Words

ratio

parts

table

double line diagrams

proportion

graph

tape diagrams

input-output table

missing values

coordinates graph

proportional relationship

Instructions

Play through this interactive game to learn about Make Tables Of Equivalent Ratios. Suitable for Grade 6, Grade 7, Grade 8.

Main Concepts

The unit rate is a comparison and does not refer to the units (cups, feet, secs etc.). The unit rate shows the relationship to 1, “for each 1” or “for every 1.”

Ratios have associated rates that relate to the unit ratio (5 feet in 3 seconds has a rate of 5/3 feet for every 1 second).

Ratios are expressed as “for each” and “per”

There is more than one correct way to express a ratio, all ways are interchangeable.

Ratios can be expressed using a colon (5:3) and fractions can be expressed as 5/3 = 5:3.

Ratios can be represented as words (5 to 3, 5 for every 3, 5 out of every 3 and 5 parts to 3 parts).

Ratios can have the same units (ratios) or different units (rates). The term Ratio can be used for same and different units as well.

Ratios happen when there are two or more quantities related.

Use tape diagrams for showing ratios with two quantities with the same units (cups of flour to cups of sugar).

Double Number Lines are used when quantities have different units (feet per second). Double Number Lines show the equivalent ratio pairs.

Create Ratio tables to show relationship over many values (Where Joe walks 5 feet every 2 seconds and x is number of feet and y is seconds how far did he walk in 20, 30 or 10 seconds).

Find missing value in a ratio table (using the proportional relationship to determine missing value).

Graph pairs of values displayed in ratio tables on coordinate axes. The graph lies on a line and passes through the origin (0,0).

The increasing relationship will be seen by the graph and values can be determined from the graph (Move to desired x value and move up to the line to find the corresponding y value).

Use repeated addition to find equivalent ratio pairs.

When finding equivalent ratios you must multiply or divide both terms by the same number (4 feet for every 6 seconds or 4 to 6 can be multiplied by 2 to yield an equivalent ratio so 8 to 12).

Solve proportions by creating a ratio table and then reasoning by adding or subtracting (If 2 gallons of ice cream cost 5 dollars how much will 13 gal cost? 12 gals is 30 dollars and one gal is 2.50 so 32.50 is the cost).

When expressed as x parts to y parts units may be included (ex: 5 feet in 3 seconds).

Attention to the correct placement of units.

Discussion Questions

Before the Game

What is a ratio? What are some ways that we can display the pattern in an equivalent ratio? What data can be displayed using a double line diagram? What is a proportion and where in the real world are proportions used? Complete this sequence of numbers: 2, 4, 6, ____, 10 _____, 14, 16, _____, _____.

After the Game

Explain how the tape chart worked in the first level. In what other situation might this strategy also be helpful? What strategy did you use to complete the double line diagram? How was the table different from a double line diagram? How did you use ratios to fill in the table and figure out how the total cost of the coffee bags? When is it appropriate to use a double line diagram, as opposed to a single line diagram? How did the coordinate graph help to visualize the relationship between the customers and the coins?

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Game Details

Difficulty

Content Integration

Lexile Level

505

Main Concepts