8-10 yrs old
Art and Design
Math & Economics
Break down arrays and rebuild them in groups of equal numbers to understand how number families are the key to the multiplication and division.
February 15, 2019
Supporting Minecraft world file.
Common Core Math Standard
Link to Common Core Math Standard.
Engage NY Module
Related Engage NY Module link.
Worksheet and Homework
Go through the pictures on the slideshow (see supporting files section) and brainstorm any:
4. Structure shapes
5. Abstract meaning
6. Any questions that come to your students’ minds
Use students’ brainstorm comments to get them to recall the Big Idea from the last lesson (All rectangles are multiplication problems) and connect it to the inverse concept of breaking an array into equal groups. Once they have made this connection, unveil the Big Idea.
Numbers broken down into equal groups is division.
Students will write the Big Idea and their math equations seen in the sideshow in their notebooks.
Use the statements above the photo to help build the inverse connection between multiplication and division.
Talk about all the things you can build with rectangles. Be sure to have students show their work in their notebooks.
Minecraft Entrance Challenge
The Minecraft Entrance Challenge is a simple, traditional assessment so we can have a quick check-in on each student’s understanding after the opening discussion. It will consist of page 76 of the worksheet and homework.pdf (see Supporting Files section), and the back page will be used as homework.
Begin with a quick walk-through of the world and explain the Minecraft activities. Also, write what to do in each of the activities on the board so your students can refer back to them as they sign into the game. Pass out the worksheets and let your students work individually.
As students start to finish their four entrance questions, they will check their work with a peer. Once both partners agree on the answers, the teacher will check it for accuracy. The students can get their computers and log in.
Students will enter the Minecraft World in groups of two. Each student will do two of the four challenges in Parts 1 and 2.
Challenge 1: Tear down and rebuild!
The students will be given a pickaxe and an array. Next they will tear down the array and reorganize the unit blocks into equal groups. Then they will write the division and multiplication number sentences and take a picture. Students should be able to explain the inverse relationship between the two math operations orally and in their notebooks.
Challenge 2: Prove Me Wrong!
The students will go to a problem station and get an equation. Then they will build a Minecraft math model to prove the equation correct or false. As they make equal groups with their blocks, students should also keep track of their factors by writing them on slates as they go. Assessment is measured by the accuracy of their Minecraft math model and their ability to explain how they proved or disproved the equation.
a. Design a parkour course out of 4 division problems.
b. Use Code Builder to get the agent to build arrays and/or grouped numbers.
Each student should write five problems and solve three of them.
1. Five minutes: Get into groups of four and have the students come up with a definition for division and a way to prove division.
2. Groups state their definition and the teacher will facilitate discussion on the class’s thoughts.
1. The student was able to break apart an array and reorganize the units into equal groups.
2. The student was able to define division by stating the big idea in their own words. Show work in math notebooks.
3. The student was able to write a division equation after reorganizing their array into equal groups.
4. The student was able to prove a division equations by building and explaining a Minecraft Math model.
5. The student was able to correctly answer all four problems on their worksheet.
6. The student was able to review a peers worksheet and explain how their answers are correct or not.
7. The student exhibited higher level thinking skills such as...
a. Completing one of the extension activities
b. Made a connection between the inverse relationship between multiplication and division.
Basic geometric concepts of area and perimeter.
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Rube Goldberg Machines
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Break down pixel art into fractions.
Fraction Capture the Flag
Explore fractions through playing capture the flag
Crafting Your Review
Students create a review world for others.
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Steve’s New Home
A problem solving maths lesson.
Ice Fishing Derby
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Build a parkour course to show addition.
Number Line Railroad
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Building Word Problems
Create a scene that depicts a word problem.
Two Step Word Problems
Build a two step world problem.
Explore fraction models and build a farm.
Fun, Functional Playground
Students redesign their existing school playground
Angles and Building Bridges
Explore lines and angles to build a bridge.
Symmetry in Pixel Art
Study and use lines of symmetry in pixel art.
Points, Lines, Rays & Droppers
Learn about 2D figures by creating dropper games.
Fractions in Minecraft
Build math models that correspond to fractions.
Define, build, and classify quadrilaterals
Measurement Mini Game
Play, examine, and create plans for a mini-game.
The Decimal Dungeon – Part 3
Observe & build math models to escape the dungeon!
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Use math to design homes in Minecraft.
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Finding the Unknown
Explore finding an unknown variable.
Base Ten Puzzles
Play a mini-game and solve base ten problems.
Regrouping Death Run
Solve Base 10 rounding math problems in Minecraft.
Round Numbers Video
Learn to round by building math models.
Part of Whole Art (fraction)
Create pic using fractional parts
Find the size of different landforms in Minecraft.
Make a Regrouping Video
Build with blocks to demonstrate regrouping.
The Decimal Dungeon – Part 2
Multi Digit Multiplication
Explore multi digit multiplication in Minecraft.
Subtraction + Regrouping CTF
Build math models and play Capture the Flag
Build a Two-Step Word Problem
Design a two-step word problem in Minecraft.
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Estudo e intervenção na escola pelo Minecraft
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Multiply #s greater than, less than, or equal to 1
Survival Olympics Bar Graphs
Create graphs from Minecraft mini-game data.
The Tragedy of the Commons
Can you solve the mystery?
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Commutative Property Bed Wars
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Lines, Angles & Architecture
Study lines and angles and use to design a facade.
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Relate multiplication to array models.
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Build models to show multiplication and division.
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Write and build a word problem in Minecraft.
City Planning – Survival Roads
Solve equations to plan out roads.
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Use blocks to show long division.
Explore 1st quadrant
Build rectangles to find the factors for 1-100.
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Play a mini-game to regroup numbers in Minecraft.
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Solve Base 10 rounding problems thru mini-games.
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Use crafting recipes to study fractions.
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Throw tridents and track distance on a graph.
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Mini game to divide hole numbers with fractions.
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Use math to design a home.
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