## 3. Student Learning Map

• Topic:Unit 4: Ratios, Proportions, and Rational Expressions
• Subject(s):Math
• Days:20
Key Learning:

Rational Expressions are useful and relevant in many real-world contexts.

Unit Essential Question(s):
 How are rational expressions useful in many real-world contexts?
Concept:

Using Ratios, Rates and Proportions

Concept: Graph Unit Rate as Slope of a Linear Function
Concept: Apply Proportionality using Dimensional Analysis and Constant Speed
Lesson Essential Question(s):

How is proportionality determined?

(A)

How are proportions used to solve rate problems in the real-world?

(ET)

What is the relationship between ratios, rates, and proportions?

(A)
Lesson Essential Question(s):

How can a unit rate be determined by looking at a graph?

(ET)

How can a unit rate be displayed graphically?

(A)
Lesson Essential Question(s):

How do changes in variables affect the outcome of the equation?

(ET)

How is proportionality applied when using dimensional analysis and constant speed?

(ET)
Vocabulary:
Vocabulary:
Vocabulary:
Concept:

Use Similar Figures to Solve Problems

Concept:

Solve Problems Using Proportions

Concept:
Lesson Essential Question(s):

How are proportions used to solve problems with similar figures?

(A)

How can setting up proportions help determine if figures are similar?

(ET)
Lesson Essential Question(s):

What are some real-world examples of how proortions can be used to solve problems?

(A)

How are proportions used to solve problems involving measurements?

(ET)
Lesson Essential Question(s):
Vocabulary:

similar figures

Vocabulary:

Vocabulary:

See Resources available on district math website and 2009 Item Specifications Report.

Resources:

Acquisition Lesson:

Extending Thinking Lesson:

## Vocabulary Report

• rate -
• similar figures -
• dimensional analysis -
• slope -
• constant -
• ratio -
• linear function -
• unit rate -
• speed -
• proportion -