Model Curriculum Units
Patterns with Linear, Quadratic, and Exponential Functions
PATTERNS WITH LINEAR, QUADRATIC, AND EXPONENTIAL FUNCTIONS
| 10th grade |
4 lessons |
This unit provides students with opportunities to extend various patterns in order to find specific terms in a pattern, by exploring linear, quadratic, and exponential functions. |
This unit consists of four lessons. Investigations include comparing the properties of the functions such as domain and range, parameter changes, and recursive and explicit rules for the functions. |
| Handouts including graphic organizers |
|
|
Unit Plan: Lessons
This unit includes lessons that can be completed in eight to ten 50-minute class periods.
| Linear Equations | Word | PDF (with links to documents) |
| Quadratic Equations and Patterns | Word | PDF (with links to documents) |
| Exponential Functions | Word | PDF (with links to documents) |
| Patterns - Linear, Quadratic, and Exponential | Word | PDF (with links to documents) |
Essential Questions:
| How do patterns help us represent, analyze, make predictions, and draw and justify conclusions from sets of data? |
| How can we use patterns to communicate mathematical ideas? |
| How do patterns, relations, and functions help us understand our world? |
| How do you use patterns, relations, and functions to solve problems? |
Summative Assessment and Scoring Guides:
| Summative Assessment (Version One) | Summative Assessment (Version Two) | Summative Assessment Scoring Guide |
PREVIOUS LEARNING |
TARGETED LEARNING |
FUTURE LEARNING |
|---|---|---|
A1B9 Algebraic Relationships Generalize patterns using explicitly or recursively defined functions.
|
A1B10 Algebraic Relationships -Generalize patterns using explicitly or recursively defined functions.
|
A1B11 Algebraic Relationships Generalize patterns using explicitly or recursively defined functions.
|
A1C9 Algebraic Relationships Compare and contrast various forms of representations of patterns.
|
A1C10 Algebraic Relationships -Compare and contrast various forms of representations of patterns.
|
A1C11 Algebraic Relationships Compare and contrast various forms of representations of patterns.
|
A1D9 Algebraic Relationships Understand and compare the properties of linear and exponential functions (include intercepts)
|
A1D10 Algebraic Relationships - Understand and compare the properties of linear, exponential, and quadratic functions (include domain and range)
|
A1D11 Algebraic Relationships Understand and compare the properties of linear, quadratic, exponential, logarithmic, and rational functions (include domain and range)
|
A1E9 Algebraic Relationships Describe the effects of parameter changes on linear functions.
|
A1E10 Algebraic Relationships - Describe the effects of parameter changes on quadratic and exponential functions. |
A1E11 Algebraic Relationships Describe the effects of parameter changes on quadratic and exponential functions.
|