Marco James' Blogger: Crazy Twos (Two to the…s)

Updated for 2022!

Let your students practice manipulating exponents. Multiplication, division, roots, powers of powers. This powerful activity asks them to do some impressive mathematics … in their heads.

Powers of Two

We give students values of 2 to the exponents 1 through 30. Powers of Two

$2^8 = 256$

$2^{12} = 4,096$

$2^{14} = 16,384$

$2^{20} = 1,048,576$

$2^{28} = 268,435,456$

Then asked them to calculate all kinds of amazing math in their heads. It’s like magic!

$256\times4,096$

$\displaystyle \frac {1,048,576}{4,096}$

or $\sqrt {268,435,456}$

two-to-thes.pdf

CCSS: 8.EE, HSA, HSA.SSE

For members we have an editable Word doc and solutions.

two-to-thes.docx two-to-thes-solution.pdf

More Mental Math

Multiply by 5, in your head – Let your students develop their own individual way of mentally multiplying by 0.5, 5, 50, 500, and so on. We have a little practice and a requirement for students to make sense of and verbalize or draw a picture of their conclusions as to why this works.

from Yummy Math https://www.yummymath.com/2022/crazy-twos/

Marco James' Blogger

Sunday, February 20, 2022

Crazy Twos (Two to the…s)

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