Author: Melissa Schneider

Ratios and Proportional Relationships

Its about analyzing proportional relationships and using them to solve real-world and mathematical problems.

Yearlong Goal…
“My background knowledge will help me make connections to new content and I will persevere through problems until I reach a reasonable / logical solution.”

My Background Knowledge about
Proportional Reasoning
_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

UNIT MAP

Puzzling Proportions

1. I can use ratios to compare quantities.
2. I can compute unit rates.
3. I can write and solve proportions.
4. I can convert among rational numbers (fractions, decimals, and percents).
5. I can determine whether two quantities are proportional and show the relationship utilizing a table or graph.
6. I can represent proportional relationships by equations.
7. I can identify the constant of proportionality (slope) in tables, graphs, equations, diagrams, and verbal descriptions in reference to the origin and (1, r) where r is the unit rate.
8. I can calculate percents of a number using equations and proportions.
9. I can calculate discounts and markups.
10. I can calculate percents of increase and decrease.

UNIT ESSENTIAL QUESTIONS
What does it mean to be “proportional” and how can I use
proportions to solve real world problems?

UNIT VOCABULARY
Proportion(al) Rate Ratio Unit Rate Discount/ Markup
Percent of Increase / Decrease Constant of Proportionality (Slope)
Scale