The Radix Endeavor - Ratios and Scale Figures

GM2.6: The Falcon District

Previous Quest:

Summary:

Return to Transom with the plans for the new city. The Curioisi can now begin building their new city.

Recommendations:

This ends the quest line on scale figures.

Learning Objectives:

None.

Connecting Questions:

None.

Additional Resources:

None.

GM2.6: The Falcon District

slindgren — Sat, 18 Jan 2014 00:44:25 +0000

Quest Line:

GM2.5: The Cricket District

Previous Quest:

Next Quest:

GM2.7: Plan of Action

Summary:

Create a scale map of the Falcon District. There is no set scale as long as all of the buildings can fit on one map page. The scale is left up to the player. Draw correct buildings, label the scale on the map and return it to Marabola.

Recommendations:

This is the culminating quest in the scale maps chain. It is open ended and allows players to choose their own scale for a map and draw out the plans as they like. Students may want paper and pencil to sketch out the maps and figure out an appropriate scale.

Learning Objectives:

Players will use ratios to create scale drawings
Players will construct shapes using geometric software
Players will use units to solve problems

Tools:

Connecting Questions:

What was your strategy for creating a map?
How did you decide what scale to use?
Did students in the class all choose the same scale – why did people chose different scales?
How did you decide the layout of the city?
Besides architects, who else might use scale drawings?
What does it mean to make a scale model? (Talk about scale in 3 dimensions)
Give students a chance to create a scale drawing, perhaps of objects in the room, the layout of the school, an imaginary city/structure

Additional Resources:

These resources can give students additional practice on congruent triangles

GM2.5: The Cricket District

slindgren — Sat, 18 Jan 2014 00:42:55 +0000

Quest Line:

GM2.4: The Holy Scale 2: The Scalening

Previous Quest:

Next Quest:

GM2.6: The Falcon District

Summary:

Marabola likes the three buildings in the Cricket District but not their layout. Select three individual maps, one for each building that can be used to layout a new scale map.

Recommendations:

This quest should be used after students are reasonably comfortable with scale. The focus here is on making sure that all three individual building maps are the same scale so that they can be used for one larger map.

* There are multiple correct combinations for this quest. As long as all of the buildings are of the same scale, the quest is correct, however, some players may select a combination where the scale is 2:1, others may select 3:1, etc.

Learning Objectives:

Players will compare similar figures to determine scale factor
Players will use ratios to determine if figures are similar
Players will use units to solve problems

Tools:

Connecting Questions:

How did you determine which three maps to use?
Was it difficult or confusing to try to find the three correct maps?
What was the scale of your buildings? Was it the same scale that other people used?
Does it matter what scale you choose as long as all of the buildings match?
For additional practice, give students other combinations of scaled shapes and have them choose the combinations that can be used to create maps.
Why might you choose to use a certain scale for a map? *This is a good prompt for the following quest where students will be able to pick what scale they want for their own map

Additional Resources:

These resources can give students additional practice on congruent triangles

GM2.4: The Holy Scale 2: The Scalening

slindgren — Sat, 18 Jan 2014 00:41:20 +0000

Quest Line:

GM2.5: The Cricket District

Previous Quest:

GM2.3: The Holy Scale

Next Quest:

Summary:

REPEAT OF PREVIOUS QUEST WITH A DIFFERENT SET OF RUINS AND A DIFFERENT SCALE FOR THE MAP

Marabola has three maps for another area in the ruined city. Determine which plan is correct and what the scale for that map is.

Recommendations:

This quest should be done after the concept of scale has been introduced. They key objective in this quest is to determine that in order for a map to be to scale, all the buildings must be drawn to the same scale. Players may want paper and pencil in order to keep track of their measurements and ratios. Notes can also be taking using the field notes tool in the game.

Learning Objectives:

Players will compare similar figures to determine scale factor
Players will use ratios to determine if figures are similar
Players will use units to solve problems

Tools:

Connecting Questions:

What was your strategy in determining which was the correct map (what did you measure first, how did you compare the maps, how did you choose to keep track of your measurements, etc)
How did you decide that a map was wrong?
Could you make more than one correct map for a set of ruins?

Additional Resources:

These resources can give students additional practice on scale factors and ratios:

GM2.3: The Holy Scale

slindgren — Sat, 18 Jan 2014 00:38:40 +0000

Quest Line:

GM2.2: Refectory Disrepair

Previous Quest:

Next Quest:

GM2.4: The Holy Scale 2: The Scalening

Summary:

Marabola has three maps for another area in the ruined city. Determine which plan is correct and what the scale for that map is.

Recommendations:

Learning Objectives:

Players will compare similar figures to determine scale factor
Players will use ratios to determine if figures are similar
Players will use units to solve problems

Tools:

Connecting Questions:

What was your strategy in determining which was the correct map (what did you measure first, how did you compare the maps, how did you choose to keep track of your measurements, etc)
How did you decide that a map was wrong?
Could you make more than one correct map for a set of ruins?

Additional Resources:

These resources can give students additional practice on scale factors and ratios

GM2.2: Refectory Disrepair

slindgren — Sat, 18 Jan 2014 00:36:51 +0000

Quest Line:

GM2.1: Sabetlan is Falling Down

Previous Quest:

Next Quest:

GM2.3: The Holy Scale

Summary:

Marabola has a partially finished map of the refectory ruins near her, Measure the refectory ruins and use this information to set the correct map scale and complete the map.

Recommendations:

This quest is the only one in the line that can potentially be used to introduce the concept of scale as players are completing a nearly finished map. However, we recommend that the whole line be used as practice and reinforcement instead of as intro material.

* Players are working in a unit of measure called “tooms” which is unique to the game world.

Learning Objectives:

Players will compare similar figures to determine scale factor
Players will use properties of similar figures to determine the missing side lengths of figures
Players will use ratios to create scale drawings
Players will use units to solve problems

Tools:

Connecting Questions:

How did you determine what the scale for the map was? Did it matter that the units were not familiar?
What ratios did you set up to find the missing sides of the building?
Why is it important that a map is drawn to scale? What would happen if it was not?
Offer students additional practice with the concept of scale in other situations, i.e – A map legend says that 1 in = 3 miles. If a road on the map is 6 inches, how long is the road in the real world?
You may also choose to build upon the quest but giving students corresponding problems where they need to complete scale maps with additional shapes – this particular quest uses only rectangles as an introduction.

Additional Resources:

These resources can give students additional practice on ratios and scale factors:

GM2.1: Sabetlan is Falling Down

slindgren — Sat, 18 Jan 2014 00:35:27 +0000

Quest Line: