Includes Standard Clusters:

Use properties of rational and irrational numbers.
• Interpret functions that arise in applications in
terms of a context.
• Analyze functions using different representations.
• Build a function that models a relationship between two quantities.
• Build new functions from existing functions.
• Construct and compare linear, quadratic, and exponential models and solve problems.

## Collection Contents

### Cluster - Use properties of rational and irrational numbers.

by Allen Wolmer

Connect N.RN.3 to physical situations, e.g., finding the perimeter of a square of area 2.
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### Cluster - Interpret functions that arise in applications in terms of a context.

by Allen Wolmer

Focus on quadratic functions; compare with linear and exponential functions studied in Unit 2.
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'C' - Curriki rating

### Cluster - Analyze functions using different representations.

by Allen Wolmer

For F.IF.7b, compare and contrast absolute value, step and piecewise defined functions with linear, quadratic, and exponential functions. Highlight issues of domain, range, and usefulness when examining piecewise defined functions. Note that this unit, and in particular in F.IF.8b, extends the work begun in Unit 2 on exponential functions with integer exponents. For F.IF.9, focus on expanding the types of functions considered to include, linear, exponential, and quadratic. Extend work with quadratics to include the relationship between coefficients and roots, and that once roots are known, a quadratic equation can be factored.
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'C' - Curriki rating

### Cluster - Build a function that models a relationship between two quantities.

by Allen Wolmer

Focus on situations that exhibit a quadratic relationship.
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'C' - Curriki rating

### Cluster - Build new functions from existing functions.

by Allen Wolmer

For F.BF.3, focus on quadratic functions, and consider including absolute value functions. For F.BF.4a, focus on linear functions but consider simple situations where the domain of the function must be restricted in order for the inverse to exist, such as f = x^2, x>0.
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'C' - Curriki rating

### Cluster - Construct and compare linear, quadratic, and exponential models and solve problems.

by Allen Wolmer

Compare linear and exponential growth to quadratic growth.
Member Rating
Curriki RatingC
'C' - Curriki rating

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