Wednesday, October 1, 2014

267: Date puzzle

The day before yesterday Edward was 17.  Next year he will be 20.  How can that be the case?

Tuesday, September 30, 2014

266: Lending $50


If I were to give you $50 we'd have the same amount. If you were to give me $50 I'd have 9 times as much as you. How much do we each have?

Source.

Sunday, September 28, 2014

265: Nix The Tricks

Dear Students:
  • Which of the following "tricks" was helpful to you in learning and understanding what was going on?
  • Which ones just got you confused when the problem changed form slightly?
  • Did you ever confuse $\dfrac{3}{5}x\dfrac{1}{5}$ with $\dfrac{3}{5} = \dfrac{x}{5}$ with $\dfrac{3}{5} + \dfrac{1}{4}$?


Which "tricks" should teachers stop using?

264: Add Operators

Using only the symbols +, -, *, and ÷ as replacement for the blanks, find the greatest value of the expression given.

1 ___ 2 ___ 3 ___ 4 ___ 5 ___ 6 ___ 7 ___ 8

What would be the greatest value if you could also use parentheses?

How do you know this is the largest value?


source: Algebra Problems, Dale Seymour.

Saturday, September 27, 2014

263: Make Equal with Parentheses

Insert parentheses into each of the following expressions so that each will have the same value.

4 + 3 * 7 - 4

2 * 3 + 3 * 5

2 * 5 - ½ * 10 * 9

3² ÷ ⅓ + 3 * 6


Algebra Problems, Dale Seymour.

Friday, September 26, 2014

262: Fractions by hand


You don't need a calculator for this one either. Why not?

Source: UVM, 2011

Thursday, September 25, 2014