This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Slide 1
Slide 2
Everyday Mathematics Column Addition
Slide 3
Column Addition Column addition involves: Recording numbers in
place-value columns; Adding in place-value columns; and Making and
moving groups of 1s, 10s, 100s, and so on. Everyday
Mathematics
Slide 4
Column Addition Solve: 379 + 562 We set up the problem by
writing the numbers in their place-value columns. H = hundreds T =
tens O = ones T 379379 +562+562 Everyday Mathematics HO
Slide 5
Column Addition Solve: 379 + 562 We add the digits in each
column, keeping the sums separate in the place-value columns. It
doesnt matter if we start at the left or at the right.
HTO379+562HTO379+562 Everyday Mathematics 81113
Slide 6
Column Addition Solve: 379 + 562 We make adjustments so each
column has only one digit. This can be done in any order, but its
most efficient to start with the ones place-value column. HTO 379
+562 81311 Everyday Mathematics
Slide 7
Column Addition Solve: 379 + 562 The 11 in the ones column
represents 11 ones. Remember: 11 = 10 + 1 Move 10 ones to the tens
column as 1 ten. HTO 379 +562 81311 Everyday Mathematics
Slide 8
Column Addition Solve: 379 + 562 Now we can rewrite the answer:
There are still 8 hundreds. There are 14 tens (13 tens + 1 ten = 14
tens). There is only 1 one left in the ones column. Remember that
we moved 10 ones to the tens column as 1 ten. HTOHTO 379379
+562+562 81311 14 Everyday Mathematics 18
Slide 9
Column Addition Solve: 379 + 562 Now lets adjust the tens
column. The 14 in the tens column represents 14 tens. 14 tens = 10
tens + 4 tens Remember: 10 tens is 1 hundred. Move 10 tens to the
hundreds column as 1 hundred. HTO 379 +562 81311 8141 Everyday
Mathematics
Slide 10
Column Addition Solve: 379 + 562 Now lets adjust the tens
column. The 14 in the tens column represents 14 tens. 14 tens = 10
tens + 4 tens Remember: 10 tens is 1 hundred. Move 10 tens to the
hundreds column as 1 hundred. HTO 379 +562 81311 8141 941 Everyday
Mathematics
Slide 11
Column Addition Now we can rewrite the answer: There are now 9
hundreds in the hundreds column (8 hundreds + 1 hundred = 9
hundreds). There are only 4 tens left in the tens column. (Remember
that we moved 10 tens to the hundreds column.) There is still 1 one
in the ones column. Since we now have exactly one digit in each of
the place-value columns, our work is done. HTOHTO 379379 +562+562
81311 8141 4 Everyday Mathematics 19
Column Addition When children use column addition they practice
a variety of skills related to number sense and algebraic
reasoning. For example: Writing numbers according to the place
value of the digits; Renaming numbers in different ways; and Making
10s and 100s, and moving between place-value columns. Some teachers
introduce column addition as a step between childrens invented
algorithms and the U.S. traditional addition algorithm. Column
addition can be explained with language and representations that
make sense in terms of place value. Everyday Mathematics