Warning! JavaScript must be enabled for proper operation of the site.

Power Video

71
skips
29
questions

Act One

• Bryan Anderson

April 27, 2014

What is the pattern

• Teacher note
Ask students to write down their questions, I normally ask students to find at least 3. When I observe that most students have questions written, I ask them to share those questions with their neighbor. I then throw up a Microsoft Word document and start typing down questions students supply. Students from my classroom came up with all sorts of different questions, some we can easily answer and others that we canâ€™t. I am looking for a key question or questions to start this lesson. If students do not ask one of these questions, I tell them that I hope I can answer most of the questions provided, but that I need them to consider one of these questions first.

Any of these type of questions will lead students down the inquiry I hope to explore with them.

Is there a pattern

What is changing from one frame to the next

Is the pattern constant?

Is this an Arithmetic Pattern?

Is this a Geometric Pattern?

How did you make a cube?

Act Two

• Teacher note
This Video is a visual of (x^a)^b = x^(a*b), or a look at geometric sequences- depending on the level of your students

Students should be able to start filling in the blank slides
• Teacher note
Once again, this video can create a few different paths of exploration. We can explore:

Patterns

Rules of Exponents

These are both excellent topics and students generate a lot of classroom discourse discussing each one.

Patterns: Students will notice that I first make a square, each side the same length as the initial picture, and then a cube with each side the length of the number of cubes in the square. The cubing part is where most classes will struggle, many will just try to create a cube out of the preceding square.

Rules of Exponents: This is what I designed this video for, in an attempt to create a visual representation of (x^a)^b = x^(a*b). Using the unifix cubes created a quick, easy way for students to quickly see and do the mathematical calculations. The powers I started with were easily recognizable visually: (x^2)^3. One thing my students start to see is how the base figures into all of this, we normally pause the video and use the SMARTBoard to draw lines to create the pattern of multiplying the base. For example on slide 3: we circle the bottom left 2 blocks, one stack represents 2^2, two stack represents 2^3, four stacks represent 2^4, etc.

Act Three

• Teacher note
Frame 9: (4^2)^3 = 4096

Frame 12: 5^2 = 25

Frame 13: (5^2)^3 = 15625

Sequel

• Teacher note

Patterns: I ask students to predict what a Step 4 figure would look like

Rules of Powers: Have the students determine a third power and sketch what their figure would look like & how many blocks it would take to create it.

### show 29 more questions

• • August 04, 2014

What percentage of the surface area is yellow

• Nagwa Fayed

September 17, 2014

how many blue cubes in the big cube

• Zoe Smith

September 19, 2014

Are they making perfect squares?

• Evelyn Constanza

November 06, 2014

What is the pattern of the steps?

• • Eli Rose

December 03, 2014

How are the steps executed? Is the same rule being followed every time? What is the rule?

• Simon Bownlave

January 07, 2015

what is the patern?

• Stuart Owens

March 25, 2015

How many blocks will be stacked ion step 2 and 3?

• Lisa Smith

September 01, 2015

What is the multiplier for step 3

• • Nicole Cornelio

November 01, 2015

how many cubes are there?

• November 23, 2015

What is the volume?

• Tem

November 30, 2015

How many blocks did they use?

• Stephanie Aiken

April 20, 2016

How many cubes are there?

• Jessica Connole

April 29, 2016

how many blocks used?

• Kaitlin Snow

October 19, 2016

How many cubes are in the block total?

• Falck, Andy

January 01, 2017

• Jim Dooley

January 12, 2017

How is the pattern growing

• Melanie Pittman

June 27, 2017

How many cubes?

• neil pollock

June 28, 2017

what is the significance with the height?

• • Tony Gray

October 30, 2017

How many blocks are there in total

• • Hao Yang

December 03, 2017

How many squares are there?

• Laura Gunn

February 05, 2018

How many blocks were used?

• shanice salsberry

June 02, 2018

how long did it take to build it

• Elana Wolfinbarger

August 15, 2018

Is step 2 5 x 5 = 25

• Kristy Thomas

February 03, 2019

What is represented by the unifix cubes?