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The Decimal Dungeon - Part 1

8-10 yrs old

Math & Economics

Explore the Decimal Dungeon in a five-part unit on Numbers & Operations in Base Ten where students observe and build math models to solve problems.

avatar Submitted By: Minecraft Education

April 30, 2019

Skills

  • Creativity
  • Critical Thinking

External References

Minecraft World File

Download the world and open with Minecraft: Education Edition.

Engage NY Link

Associated Engage NY module and lesson.

Learning Objectives

  • CCSS.MATH.CONTENT.5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
  • CCSS.MATH.CONTENT.5.NBT.A.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Guiding Ideas

1) Why is Base 10 called Base 10?

2) What are powers of 10?

3) How many times greater is the 1’s place value than the 100ths?

4) How many times smaller is the 10th’s place value than the 100’s?

5) Is there an easy way to multiply and divide with powers of 10?

 

Student Activities

Starting Video

You can begin class with this Video on how to find the value between digits of a multi-digit number as they will mirror the kind of problems students will see in the Decimal Dungeon .

Sample Problems

After the video give the students these sample problems or create your own.

1) In 463.3 the value of the 3 in the ones place is ______ the value as the 3 in the tenths place.

2) in 567.5 the value of the 5 in the tenths place is ______the value as the 5 in the hundreds place.

3) 8734.45 x 1/100=?

4) 345.3 x 100=?

Play Game

Students will enter the world in single player mode watch videos, observer and build math models, and fight monsters.

Challenge 1) Value between places

Students will observe the math model and count the spaces between the three in the tens place and the 3 in the hundreds place. Then they will answer the question in the computer lock. “The 3 in the tens place is ______ the value as the 3 in the hundredths place.“

Challenge 2) Multiplying and dividing by powers of 10

Students will observe the math model and use a pick axe to break the decimal and move it to the correct place. Once in place push the button to check your answer and open the door to the next cell.

Debrief

1) What is an easy way to multiply and divide by powers of 10?

2) How did the math models and help you understand how to multiply and divide by powers of 10?

Performance Expectations

1) The student was able to determine the value of a digit compared to another digit.

2) The student was able to explain how in a multidigit number, a digit in one place represents ten times the digit to its right and 1/10 of what it represents to the left.

3) The student was able to easily multiply and divide by powers of ten by moving the decimal place to the right or left.

4) The student was able to receive a score of 2 or higher on each standard.

Skills

  • Creativity
  • Critical Thinking

External References

Minecraft World File

Download the world and open with Minecraft: Education Edition.

Engage NY Link

Associated Engage NY module and lesson.