Pictures and Stories · Deep Dive 5

Rewrite it to see something new

Rewriting an expression can show you something you couldn't see before. A factored form shows equal groups. An expanded form shows the separate pieces. Pick the form that answers the question you're asking.

A student says the area of the whole figure is 6b + 3b. Is the student right? Yes.

6b + 3b the two pieces(6 + 3)b the widths add up to 99b one big rectangle, 9 wide and b tall

A story

Four friends each buy a movie ticket for t dollars and a 3 dollar snack, the same story as Lesson 3.

4(t + 3) four friends, each spending t + 34t + 12 the tickets cost 4t in all and the snacks cost 12 in all

Same total, two stories.

Elle and Finn

ElleMath-speak

Equivalent expressions can reveal different features of the same quantity.

FinnPlain English

Same total, different story. Factored shows the groups. Expanded shows the pieces.

Elle and Finn talk it over

Finn

Why not always write it the shortest way?

Elle

Shortest isn't always clearest.

Finn

Like how I'm fine is shorter than I'm hungry, I'm tired, and I lost my shoe?

Elle

Exactly. The long one tells you what is going on.

Finn

Also, has anyone seen my shoe?

The simplest form is not always the most useful one.

Let me try a few

NC standard: NC.7.EE.2.

Where to go next

Let me try a few5 problems on pictures and stories. Next: Tile 4, Unit 4 ReviewOne problem from every lesson All tilesAll 4 parts of this lesson. Tell us what you thought about this tileA few quick questions about just this tile. It takes a few minutes, and opens in a new tab so you keep your place.