Tuesday, March 11, 2014


This week's class was fun.  I learned quite a bit.  Mapping was fun, but I was very frustrated with the vertical line in the cross section mapping.  I got the A-B line, but figuring out the vertical line accurately stumped me (even after class).  Luckily, I have Chip as my math instructor in the 608 class and he was able to clarify for me.  I am not confused anymore and look forward to completing the assignment.  Now, I need to figure out how to best represent the monster lobe, highway and pipeline.  I was bummed that I missed the TNT fun after class, I had a meeting I needed to attend.  My son keeps asking me when he can get online and create his maze for all of you.  I wasn't sure where you wanted him to create it.  I may just have him place it somewhere around our homes.  It's so funny that my son is so excited about my college course.

Below I just re-posting my project timeline, with the standards in bold.  

Project Timeline:
·         Introduce the project – creating a vessel on Minecraft.  Give all of the guidelines and scoring grid.

·         Do research on large water vessels on the internet, and through books.   Discover what you need to include in creating a vessel that is functional and practical. 
Measurement and Data 4.MD.1. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec.  Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit.

·         Create blue prints to show what will be on the vessel, and keep in mind that each block is 1 meter^3. 
Geometry 4.G.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular, parallel, and intersecting line segments.  Identify these in two-dimensional (plane) figures.

·         Calculate the amount of materials needed to complete the vessel.  Types of blocks, amenities, etc…
Number and Operations in Base Ten 4.NBT.4. Fluently add and subtract multi-digit whole numbers using any algorithm.  Verify the reasonableness of the results.

·         Create the vessel on Minecraft.
Understand decimal notation for fractions, and compare decimal fractions. 4.nf.7. Compare two decimals to hundredths by reasoning about their size.  Recognize that comparisons are valid only when the two decimals refer to the same whole.  Record the results of comparisons with the symbols >, =, or <, and justify the conclusions (e.g., by using a visual model).

Extensions:
·         Create a model representation of the vessel so we can see both inside and outside. 
Measurement and Data 4.MD.1. Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.

·         Create an actual vessel that can be placed in water and propel itself forward, using the same guidelines as the Minecraft blue prints to test if it will float.
Geometry 4.G.2. Classify figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size.  

 

Math Standards and Reflection

Measurement and Data:
3rd grade:
3.MD.2: Estimate and measure liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).  Add, subtract, multiply, or divide to solve and create one-step word problems involving masses or volumes that are given in the same units.

3.MD.3-Select and appropriate unit of English, metric, or non-standard measurement to estimate time,  length, weight, or temperature.


4th grade:
4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit.  Represent measurement quantities using diagrams such as number line diagrams that feature a measurement.

4.MD.1-Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec.  Within a single system of measurement, express measurements in a larger unit in terms of a small unit.  Record measurement equivalents in a two-column table.


This class was a great refresher in topographic maps.  Once I watched the video I was reminded what it was we were exactly doing it has been several years since I have worked with them.  Like many I had a bit of struggle figuring out how to do the scale correctly.  I wasn't fully understanding how the vertical scale was created.   I'm still not sure I could explain how to get it or what my students would need to do.  I think this will be a fun activity for my students and spring break gives me time to explain to my students what a topographic map is.  The one thing  I struggle with this class and the lesson we have to teach is how to make the relevant students' lives, managing to teach them while not veering completely away from the curriculum we have. Since my students back knowledge to many things is limited there has to pre-teaching involved for them to even do the activity.  Again I look forward to teaching the lesson and glad I have an extended period of time to teach my students about topographic maps.  

Math Standards for STEM Project

My project consists of having students construct a hydroelectric dam using Minecraft. I am basing the project on a dam engineering lesson from tryengineering.org. The lesson plan relies heavily on NGSS standards and is not math specific. However, I do know that real-world construction of dams involves understanding area, surface area, and volume. I also know that a real-world engineer will consider the force of the water on the dam as well.

This lesson addresses geometry standards such as:

Alaska Standard 7.G.6 Solve real life and mathematical problems involving angle measure, area, surface area, and volume and Alaska Standard 6.RP.1 Understand ratio concepts and use ratio reasoning to solve problems.
 
I also know that the physics behind force requires the use of calculus found in Alaska Standard F-1F.7. Analyze functions using different representations.
 
I found an article entitled: AP Calculus BC Project:The Dam Problem:Constructing a Dam across the River http://www.ms.uky.edu/~droyster/APCalculus/Dam%20Problem.pdf very helpful in identifying the higher level mathematics used in construction a dam.

Timeline with Standards

Students will keep a log of their day-to-day adventures in Minecraft.

1.  Explore Minecraft and crafting in Minecraft  (1 ½ hours)
    
     Standard(s):  
·         Technology.  Using a computer program.
    
     References:  
   
      Assignment:  
·         Explore Minecraft, collect items on your journey.  
·         Spend time digging downward in Minecraft.  Go down at least six blocks deep.
·         Build a 3 x 3 crafting table.
·         Craft at least two items with your 3 x 3 table.   

Log Prompt:  
·         What did you discover in your explorations in Minecraft?  
·         What did you find when you dug downward in Minecraft.
·         What did you collect during your explorations?  
·         What did you craft?  
·         What else would you like to know about Minecraft?  
     
2.  Learn about building materials available in Minecraft.  Build a house in Minecraft.  (1 ½ hours)
   
     Standard(s):  
·         Science.  Properties of building materials.
·         Technology.  Using a computer program.
    
     Reference:  
     
     Assignment:
·         Study the "real-life" properties of five of the building materials that are available in Minecraft.  
    
     Log Prompt:
·         What are the five building materials that you chose? 
·         Briefly describe the “real-life” properties of each of these materials. 
      
3.  Build a house  (2 hours)
      
    
     Standard(s):  
·         Engineering. Drawing “blueprints” and building a house.
·         Technology.  Using a computer program. 
·         Mathematics:
o   6.RP.2. Understand the concept of a unit rate (a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship) and apply it to solve real-world problems (e.g., unit pricing, constant speed).
o   6.RP.3. Use ratio and rate reasoning to solve real-world and mathematical problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations).  Use ratio reasoning to convert measurement units between given measurement systems (e.g., convert kilometers to miles); manipulate and transform units appropriately when multiplying or dividing quantities.
o   7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
o   7.G.1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
   
      Assignment: Build a house in Minecraft.
·         Draw a “blueprint” of your house.  Indicate measurements of each wall and roof.   When measuring surface area, each block is 1 meter x 1 meter. 
·         Build the house in Minecraft. 
·         Convert the measurement of your house from squared meters to squared feet using conversion fractions. 

Log Prompt: 
·         Place the “blueprint” of your house in the log.  Indicate the measurements on drawing. 
·         Show all the steps of your conversion from squared meters to squared feet using conversion fractions. 
·         What materials did you use to build your house?
·         Did you have to craft materials?  If so, what did you craft?  Write the materials that you needed for crafting those items. 
·         Where did you build your house?  Was there a special reason you choose this site?


4.  The Monster Lobe  (1 ½ hour)
    
     Standard(s):  
·         Engineering.  Study to gain information for creating a plan.

      Assignment:  Read at least two articles regarding the Monster Lobe.
Log Prompt:
·         Which articles did you choose?  Briefly summarize the information from these articles.
·         Look up one item mentioned from one of the article and find more information on this item.  List the citation for this item. 
·         State the problem that the Monster Lobe is potentially going to cause? 
·         How might you solve the Monster Lobe problem?


5.  Planning Session  (2 hours)
    
     Standard(s):  
·         Mathematics: 
o   7.G.1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
     Assignment: 
·         In Minecraft, find the Monster Lobe. 
·         In a group, be sure everyone has found the Monster Lobe.
·         Draw a map of where the Monster Lobe is in relationship to your house. 
·         With a group, come up with some ideas as to how solve the Monster Lobe problem.  Come up with at least three ideas, these ideas will destroy, redirect, or some other solution. 
   
    Log Prompt: 
·         Draw a map of where the Monster Lobe is in relationship to your house.
·         List your three ideas.  Briefly describe how you might implement these ideas.

6.  Planning (1 ½ hours)

      Standard(s):  
·         Engineering.  Creating plan.
·         Mathematics: 
o   7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)
o   7.EE.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form and assess the reasonableness of answers using mental computation and estimation strategies.
    
     Assignment:
·         With your group, decide which plan you will pursue. 
·         Make an outline/timeline for your project. 
·         Decide which materials you will need to complete your project. 
    
 Log Prompt:
·         Describe the plan you are going to use. 
·         Write down your outline/timeline.
·         What materials are you planning to use?   Why are you using these materials? 

7.  Execute plans  (1 ½ hour)
    
Standard(s):  
·         Engineering.  Implement plan.
·         Technology.  Using computer program.
·         Mathematics: 
o   7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)
o   7.EE.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form and assess the reasonableness of answers using mental computation and estimation strategies.

     Assignment: 
·         In a group, using Minecraft, implement your plan. 
   
  Log Prompt: 
·         Describe how your plan went?  Did you execute the plan the way that you had planned?  Did anything change from your original plan?  What changed? 

8.  Analyze/Extension  (1 hour)
    
     Standard(s):  
·         Engineering.  Analyzing plan.
    
     Assignment/Log Prompt: 
·         Do you think your plan would work in “real-life.” 

·         Consider the following, what if there was a “debris flow,” similar to the Monster Lobe, was heading towards Palmer.  Pretend that the “debris flow” has appeared on Lazy Mountain and is working its way down the mountain towards the Matanuska River.   Given this course, the “debris flow” continue traveling into the Palmer.  Would your solution to the Monster Lobe work in this situation? What might work and what might not work?  

It was interesting and frustrating trying to construct the topology map.  Hopefully my assignment will go better.