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Title: Why '5+5+5=15' is wrong under the Common Core
Source: [None]
URL Source: http://www.businessinsider.com/why- ... -under-the-common-core-2015-10
Published: Oct 25, 2015
Author: Jacob Shamsian Ben Nigh
Post Date: 2015-10-25 15:54:01 by Justified
Keywords: None
Views: 898
Comments: 8

Here's a "repeated addition" Common Core problem that's taught in third grade in US schools:

Use the repeated-addition strategy to solve: 5x3

If you answer the question with "5+5+5=15,” you would be wrong.

The correct answer is "3+3+3+3+3.”

Mathematically, both are correct. But under Common Core, you're supposed to read "5x3" as "five groups of three." So "three groups of five" is wrong.

According to Common Core defenders, this method will be useful when students do more advanced math. This way of reading things, for instance, can be used when students learn matrices in multivariable calculus in high school.

But parents aren't happy about it.

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#1. To: All (#0)

Technically in mathematics "5x3= 3+3+3+3+3= 15" is the most correct. Both ways will result in the proper answer.

In language programming I believe its just the opposite. "5x3= 5+5+5= 15"

The pains of teaching!

Justified  posted on  2015-10-25   16:01:57 ET  Reply   Trace   Private Reply  


#2. To: Justified (#0)

21 X 56 =

(2 X 5 X 10 x 10) + (2 X 6 X 10) + (1 X 5 X 10) + (1 X 6)

Obama has played at being a president while enjoying the perks … golf, insanely expensive vacations at tax-payer expense. He has ignored the responsibilities of the job; no plans, no budgets, no alternatives … just finger pointing; making him a complete failure as a president

no gnu taxes  posted on  2015-10-25   16:05:28 ET  Reply   Trace   Private Reply  


#3. To: Justified (#0)

"But under Common Core, you're supposed to read "5x3" as "five groups of three."

Right. And you add them up this way:

3+2=5
3+2=5
3+2=5
3+2=5
3+2=5

Five 5's are 25. Five 2's are 10. 25 - 10 = 15.

Common Core.

misterwhite  posted on  2015-10-25   16:11:28 ET  Reply   Trace   Private Reply  


#4. To: Justified (#0)

Common core is an attempt to make simple contituents of thought as complex and subject to multiple interpretations as possible. Graduates of the Common Core system will be more indecisive fumbling, and subject to manipulation in their lives. That's the real purpose of common core.

rlk  posted on  2015-10-25   16:20:30 ET  Reply   Trace   Private Reply  


#5. To: All (#4)

When someone completes a system of education and is so screwed up and confused that they can barely have a bowel movement, that is absolute testimony that something highly important is taking place there. It is the mission of Common Core to see that everybody meets that standard.

rlk  posted on  2015-10-25   22:51:25 ET  Reply   Trace   Private Reply  


#6. To: Justified (#0)

Mathematically, both are correct. But under Common Core, you're supposed to read "5x3" as "five groups of three." So "three groups of five" is wrong.

There is a difference between five groups of three and three groups of five.

However, the idea that teaching kids to read it this way in third grade is how you help them absorb the info to use in high school math seems farfetched.

It also undermines the usual instruction and application of the commutative principle in multiplication (and addition). This is a longtime staple of middle school math classes.

Commutative law of addition: m + n = n + m . A sum isn’t changed at rearrangement of its addends.

Commutative law of multiplication: m · n = n · m . A product isn’t changed at rearrangement of its factors.

Associative law of addition: ( m + n ) + k = m + ( n + k ) = m + n + k . A sum doesn’t depend on grouping of its addends.

Associative law of multiplication: ( m · n ) · k = m · ( n · k ) = m · n · k . A product doesn’t depend on grouping of its factors.

Distributive law of multiplication over addition: ( m + n ) · k = m · k + n · k . This law expands the rules of operations with brackets (see the previous section).

I can see why the parents are unhappy. The commutative laws are at least as important to advancing to math skills as preparing a third-grader to read matrix notation so they can use it 5-7 years later.

Tooconservative  posted on  2015-10-26   0:34:34 ET  Reply   Trace   Private Reply  


#7. To: Justified (#1)

In language programming I believe its just the opposite. "5x3= 5+5+5= 15"

No. In the old days with 8-bit computers, you'd do multiplication by left-shift registers. Tedious. Division was done mostly with right-shift operations.

Eventually, when we got math chips for 80x86 and 68K machines, the IEEE created a standard floating-point math library to which everyone now adheres. It helps your math stay uniform regardless of what system you run it on. Very important for science and engineering, the IEEE's core competency.

Tooconservative  posted on  2015-10-26   0:45:23 ET  Reply   Trace   Private Reply  


#8. To: Justified (#0)

According to Common Core defenders, this method will be useful when students do more advanced math. This way of reading things, for instance, can be used when students learn matrices in multivariable calculus in high school.

As someone who took calculus and did matrices I find such common core gibberish gives me Kophsmertzen.

rlk  posted on  2015-10-26   1:32:13 ET  Reply   Trace   Private Reply  


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