Transcript 3.1 10,000 Chart

How Many Steps to 10,000
Finding the difference between a
number and 10,000
3.3
Guiding Questions
• How can understanding place value help
you solve addition and subtraction
problems with larger numbers?
Imagine
• Imagine the 10,000 chart as a giant board.
Imagine that a tiny creature is moving along this
board. It starts in the upper left corner, steps
onto the first square, and moves across a whole
row to 100, stepping on every square. So to get
to 100, it takes 100 steps. Then it jumps to the
beginning of the next row (101), moves across
that whole row, and so on. It always moves one
square at a time. Sometimes, it moves
backwards. You’re going to be solving problems
about how many steps it would take to move
from a particular square to the end of the board.
Creature Problem
• Let’s say the creature is on the square
numbered 1,025. Find that square on the
10,000 chart Then figure out how many
steps it would have to take to get to the
10,000th square.
• Explain your thinking! How did you solve
this?
Strategies
NUMBER LINE STRATEGY
10,000 – 2,375 = _______
+25
2,375
+600
2,400
OR
2,357 + ______ = 10,000
+7,000
3,000
10,000
7,625
STRATEGIES: Adding up
Write each step as a separate equation!
Example: 10,000 – 257= ____
257 + 3 = 260
260 + 40 = 300
300 + 700 = 1,000
1,000 + 9,000 = 10,000
10,000 – 257 = 9,743
OR
257 + ____ = 10,000
Algorithm
10,000
- 2,357
Solving Distance Problems
• Start at 73. How many steps to 10,000?
• Start at 850. How many steps to 10,000?
• Start at 3,498. How many steps to 10,000?
• Choose a strategy to solve the above
problems. Write out the equation as your
solution.
Close to 1,000
• The game is played by drawing eight cards and
using six of them to make two 3-digit numbers
that, when added together, have a sum that is as
close to 1,000 as possible. It is OK to go over
1,000. You’re score is going to be the difference
between the sum and 1,000 (whether it is
greater than or less than 1,000 doesn’t matter).
• As you play, think about what strategies you are
using to add numbers that equal 1,000, or close
to it.
Independent Assignment: What’s
The Missing Number?
•
•
•
•
4,991 + _________ = 5,000
4,991 + ________ = 6,000
4,991 + ________ = 7,000
4,991 + ________ = 10,00
• 1,212 + _______ = 2,000
• 1,212 + _______ = 5,000
• 1,212 + _______ = 10,000
• 3,385 + _______ = 6,000
• 3,385 + _______ = 8,000
• 3,385 + _______ = 10,000
Due at the end of class!
Turn this in to the box.
Make sure your name
is on it! Copy down all
equations first, in case
you need to finish this
at home.
Guiding Questions
• How can understanding place value help
you solve addition and subtraction
problems with larger numbers?