Unit 2: Fraction Operations

This should be FOUR mini-guides.

Not one.

Guide 2A

Adding Fractions

Recipe:

1. Same denominator?
2. Add numerators.
3. Keep denominator.
4. Simplify.

Practice.

Then mixed practice.

Guide 2B

Subtracting Fractions

Same structure.

Guide 2C

Multiplying Fractions

Recipe:

1. Multiply tops.
2. Multiply bottoms.
3. Simplify.

Then explain WHY.

Area models.

Repeated groups.

Guide 2D

Dividing Fractions

This one needs the most conceptual support.

You already hit the exact explanation I would use:

1/2 ÷ 1/4 means:

"One-fourth times what equals one-half?"

Then:

14x=12\frac14x=\frac12

41x=21

Multiply both sides by 4.

x=2x=2

x=2

Now Keep-Change-Flip suddenly makes sense.

Instead of feeling like a magic trick.

SAT Applications

• where we see in the SAT
• practice questions, wording, and difficulty (what easy medium and hard applications could look like in the SAT even when blended with other topics —- show the true where and how you might see this)