Transcript Everyday Mathematics Counting-Up Subtraction Counting-Up Subtraction Counting-up subtraction involves: • Subtracting by finding the distance between two numbers; • Using benchmark numbers; and • Adding smaller distances.

Everyday
Mathematics
Counting-Up Subtraction
Counting-Up Subtraction
Counting-up subtraction involves:
• Subtracting by finding the distance between two
numbers;
• Using benchmark numbers; and
• Adding smaller distances to get the final answer.
Everyday Mathematic
Counting-Up Subtraction
Solve: 471 – 293
We begin by thinking:
• What is a good benchmark number to start with
for this problem?
Since we are finding the distance between 293 and 471,
a first benchmark number could be 300.
Everyday Mathematic
Counting-Up Subtraction
Solve: 471 – 293
We first count up the distance from
the starting number (293) to reach
the first benchmark number (300).
293
+ 7
300
That distance is 7.
Everyday Mathematic
Counting-Up Subtraction
Solve: 471 – 293
From 300, our next benchmark
number could be 400.
So we count up the distance
from 300 to 400.
That distance is 100.
293
+ 7
300
+ 100
400
Everyday Mathematic
Counting-Up Subtraction
Solve: 471 – 293
We can count up the distance
from 400 to 471 in one step.
293
+ 7
300
+ 100
400
+ 71
471
Everyday Mathematic
Counting-Up Subtraction
Solve: 471 – 293
We circle all of the distances we
counted up between the starting
number (293) and the final number
(471).
Now we add the circled numbers.
7 + 100 + 71 = 178
293
+ 7
300
+ 100
400
+ 71
471
Everyday Mathematic
Counting-Up Subtraction
Solve: 471 – 293
The distance between 293
and 471 is 178.
7
+ 100
+ 71
178
This method is like counting
up to make change.
Everyday Mathematic
Counting-Up Subtraction
When children use counting-up subtraction, they practice
a variety of skills related to number sense and
algebraic reasoning. For example:
• Exploring the relationship between addition and
subtraction;
• Using benchmark numbers; and
• Adding a set of distances to get a total.
Many children find counting up much easier than taking away.
Everyday Mathematic