快速學習代數 1：函數

This is the fourth course in a year-long sequence which covers standards and ideas in Algebra 1 intended for learners in middle school ready to begin Algebra 1 or high school learners who need additional support. These courses are taught in small-groups to provide individual instruction and social-learning opportunities aligned with a social constructionist or situated cognition view of learning.
The curriculum is problem-based this means instead of lectures or videos students work together as a small group to solve problems to discover principles and strategies with teacher guidance, as necessary. Therefore, we will spend approximately 90% of each class period working on problems and discussing them as a group. The use of discussion and problem-solving leads to generalized mathematics or proofs and students will construct their own models or proofs of real-world scenarios in project based assignments. This process prepares students well who may seek advanced mathematics in high-school or beyond. 
In this unit, students expand their understanding of functions building on pre-algebra exposure. Learners will represent, interpret, and use functions to make sense of situations and solve problems. They will develop new tools and vocabulary for understanding and communicating about functions including function notation, domain and range, average rates of change, and key features of graph. They will work to gather information about a function from a graph and graph a variety of functions including linear functions, piece-wise functions, absolute value functions, and inverse functions. 
Week 1:
- - Readiness Check which allows instructor to identify areas of potential acceleration or needs for extra support for individual learners and the whole group. 
- Describing and Graphing Situations
- Interpreting and Using Function Notation
- Using Function Notation to Describe Rules

Week 2:
- Using Function Notation to Describe Rules cont.
- Features of Graphs
- Using Graphs to Find Average Rate of Change
- Interpreting and Creating Graphs
-Model Project 1/ Project Based Learning Opportunity

Week 3
- Mid-Unit Assessment
-Comparing Graphs
-Domain and Range
- Piecewise Functions

Week 4
- Absolute Value Functions
- Inverse Functions
- Finding and Interpreting Inverse Functions
- Using Inverse Functions to Solve Problems

Week 5:
- Using Functions to Model Battery Power
- Modeling Project 2/Project Based Learning Opportunity
- Review Day
- End of Unit Assessment