Next on Making Algebra Meaningful – Dora to the Rescue!
Our goal is to tackle this beast from our expectations:
add and subtract polynomials involving the same variable up to degree three [e.g., (2x + 1) + (x^2 – 3x + 4)],using a variety of tools
and
multiply a polynomial by a monomial involving the same variable to give results up to degree three [e.g., (2x)(3x), 2x(x + 3)], using a variety of tools
My first thought when creating my lessons is how can I get students curious! Sometimes curiosity will come out from Act 1 of a 3 Act math task. Or sometimes it’s from a puzzelly type open activity that makes students struggle.
Here is MY new struggle:
How can I make students curious when teaching collecting like terms, and eventually the distributive property?
Last year’s opener to teach collecting like terms:
Give them a perimeter problem where the sides have an unknown value.
Ask for an expression for the perimeter in terms of x.
Now here is x….find the perimeter.
And that’s it! Every time I do this kids are confused and ask “Why didn’t we just have the value of x to begin with?”
I want a task that makes us curious and need to use like terms to simplify an expression.
Here was how our conversation in math class (MFM1P) went…..How many pieces make up this Star wars Lego ship? We started with that picture and had a great conversation around Lego.
Then I showed this one.
Does the pool/hot tub have more pieces/less pieces/ or the same? This turned into “boy” Lego vs. “girl” Lego. My personal opinion is its all great…. My 3 daughters are just as excited to play with Yoda as they are with Disney princesses. Girls in the class agreed that they didn’t need their own line of lego!!!
I moved our conversation a little forward with asking Which costs more? And which should cost more?
To get students to be interested in it I wanted them to be “dying” to figure it out.
I thought about putting them in a place where they had to struggle— I wanted to open up the middle!
Michael Fenton has a series of Match my Parabola challenges and I thought of those. I modified his challenges a bit to include those examples from my tweet.