8.EE.B.5

Slope Dog’s Mathemagical Fleet

Experience Awakening - Our open-world educational game

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Game Info for Teachers

COMBINED RATING

3.8 Stars

TEACHERS (79)

4.1

STUDENTS (4168)

3.5

LENGTH

17 Minutes

GRADES

CAPABILITIES

iPad Support

Text-to-Speech Support

Description

Help Mango (AKA Slope Dog) amass the most fearsome fleet across the seas of Ratiopolis! Through learning about proportional relationships and their application to tables, graphs, and slopes, Mango will rise to the top building his own personal fleet of magical ships!

Vocabulary Words

proportional

rate of change

multiplicative factor

proportional increment

variable

coordinate

slope

equation

table

equation

Instructions

Play through this interactive game to learn about Unit Rate As Slope Of A Graph. Suitable for Grade 6, Grade 7, Grade 8.

Main Concepts

An expression in one variable defines a general calculation in which the variable can represent a range of numbers—an input-output machine with the variable representing the input and the expression calculating the output. For example, 60t is the distance traveled in t hours by a car traveling at a constant speed of 60 miles per h

Choosing a variable to represent the output leads to an equation in two variables describing the relation between two quantities. For example, choosing d to represent the distance traveled by the car traveling at 65 miles per hour yields the equation d = 65t. Reading the expression on the right (multiplication of the variable by a constant) reveals the relationship (a rate relationship in which distance is proportional to time).

Tabulating values of the expression is the same as tabulating solution pairs of the corresponding equation. Using the relationship between distance and time, distance increases by the same amount for the same increase in the time (the ratio between the two being the speed).

Plotting points on the coordinate plane, in which each axis is marked with a scale representing one quantity, affords a visual representation of the relationship between two quantities where the slope is the unit rate.

The constant of proportionality is the multiplicative factor in the expression, the slope in the graph of the relationship and the corresponding increments in the table.

Compare proportional relationships presented in different ways (Table, Graph, Equation using slope, corresponding increments and equations).

Discussion Questions

Before the Game

How do we determine if a line represents a proportional relationship? How is slope used to graph a line? How can we use a chart to find the value of y if we know the values for x?

After the Game

How did you determine the slope based on the data in the tables? How did you find two points to plot on the graph for each equation? How did the numbers you chose for x in the equations affect the value of y? How do those numbers show a proportional relationship? At the end of the game, how did you use proportional relationships to decide which ship was the fastest? What was the relationship between the weight of the ship and the number of planks used? How is the multiplicative factor of an equation related to the slope of a line?

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Game Details

Difficulty

Content Integration

Lexile Level

705