# Math Arguments

180 Days of Ideas for Discussion in Math Class. (as of 9July2014, we're in overtime!)

## Tuesday, April 16, 2019

### Concavity

I have a question that will help me understand the fundamental definition of concavity. If we have y=x^4, can we say that is concave up from (-inf, +inf) or do we need to say (-inf,0)U(0,+inf)?

## Wednesday, December 21, 2016

### 518: Interpret your results.

Say you had data that told you that

The proportion of all US public school students whose families are low-income:

In 1989, less than ⅓

In 2013, more than ½

Interpret this in a positive way.

Interpret this in a negative way.

The proportion of all US public school students whose families are low-income:

In 1989, less than ⅓

In 2013, more than ½

Interpret this in a positive way.

Interpret this in a negative way.

Proportion of all US public school students whose families are low-income: In 1989, <1/3. In 2013, >1/2.— Alfie Kohn (@alfiekohn) December 21, 2016

## Saturday, December 17, 2016

### 517: What is the function?

Algebra 2:

Write a function for this graph ...

Estimation:

What are some possible values for a,b,c,d?

If I told you it also went through (0,54), what might the leading coefficient be?

I would not use the phrase "in factored form", if I were using this in a review or summative assessment since students should be selecting the form that's most appropriate. I might use it if we are in the middle of learning about functions for the first time and we hadn't really made the case for the utility of various forms of the equation.

source:

How would your Ss write a function in factored form for this graph? Nice #MP7 #CthenC problem from Bossé #ncctm16 pic.twitter.com/DoUZUzNR7L— Jennifer Wilson (@jwilson828) October 28, 2016

## Monday, December 12, 2016

## Thursday, August 18, 2016

### 515: Pascal Proof

An interesting Question ... is an algebraic method the only way to do this?

Prove that anywhere on Pascal's triangle, products of numbers in yellow and in orange are equal.— ⋁△ ᴹᴬᵀᴴcafé ☕ (@Five_Triangles) August 18, 2016

Via @HopeHana pic.twitter.com/zgs3d0wenJ

## Thursday, June 16, 2016

### 514: Probability Game

Temporary return! A quick probability question ...

Player A's score is determined by taking the highest of 3 dice.

Player B's is determined by taking second-highest of 8.

Who wins more games?

Player A's score is determined by taking the highest of 3 dice.

Player B's is determined by taking second-highest of 8.

Who wins more games?

Player A's score is determined by taking the highest of 3 dice.— Ben Orlin (@benorlin) June 16, 2016

Player B's is determined by taking second-highest of 8.

Who wins more games?

## Thursday, December 17, 2015

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