Thursday, March 26, 2015

Math problems of the week: Common Core-inspired Math problems

From, the first problem on a "math Common Core Sampler Test."

Extra Credit:

1. Given the instructions, should acceptable answers include the rewrite provided below?

5j - (j - 2k) + 5k + 36

2. Supposing that the immediate goal is to have students combine like terms, and that the long time goal is to have students apply math to real-life situations, rewrite this problem as a real-world application that implicitly requires students to combine like terms.


lgm said...

1. Yes. Is there no part B asking for the property or axiom used?

Auntie Ann said...

Axioms are not called that anymore. You get the distributive property, commutative property, identity of multiplication, PEMDAS (or BEMDAS if your teacher is Canadian), etc., but not the step by step proof-style solutions where you have to declare what property you're using at each step.

Keep in mind that the new new new new new math doesn't believe in teaching those stuffy old ways of the past, but seeks to let students use their grit to struggle through problems to construct their own authentic understanding of math.

Katharine Beals said...

According to the answer sheet (follow the link), my proposed answer to the problem is incorrect.

And there is no part B asking for the property or axiom.

lgm said...

The worksheet does not have enough room for many boys to write the first step (gathering like terms). That means errors will be made as they try to do it all in their head.

I won the battle on providing scrap paper at son's middle school, as the principal felt more would be successful using scrap than not.