In this course, students build a solid foundation in core mathematics topics to support learning of more complex topics in Algebra 2. The course is designed to engage students in the content, allowing them to progress at their own pace and control their own learning. Students learn how each new skill applies to solving problems in the real world.
Students begin by identifying functions versus relations, finding domain and range, and evaluating functions given an input. Students study linear functions in detail, finding the connection between them and arithmetic sequences. Students then identify and graph quadratic functions, identify links between exponential functions and geometric series, and apply exponential functions with compound interest. Lastly, students receive an introduction to theoretical and experimental probability creating graphs and tables of data, calculating different measures of central tendency, and interpreting differences in the shape and shift of graphed data.
Alignment: Common Core Standards, NCTM Standards
Target Audience: Any student who meets prerequisites.
Key strategies employed to support students in achieving learning outcomes include:
Students will learn new concepts through exploration. They will build off prior knowledge to make conjectures about their discoveries. This process is supported with targeted questioning during exploration and with summaries and examples afterward.
Lesson material is presented through a variety of mediums including discovery, illustrations, images, and adaptive feedback to reinforce concepts.
Interactive math tools and active simulations allow students to explore and practice newly learned skills, including math tiles simulation,a graphing tool, and a probability spinner.
Immediate and targeted feedback provide instant support and allow students to assess their own performance. Branching pathways are activated, if needed, based on student response and/or performance.
Students immediately apply what they learn through practice questions and simulation exercises that promote discovery.
Self-check and simulation exercises are included for students to evaluate their own progress. Students are asked to summarize key ideas in their own words.
Quizzes are included at the end of each lesson to evaluate knowledge transfer.
This course is designed for one semester of classroom instruction.
The course contains 4 topic-based units of instruction.
Each unit is segmented into lessons, for a course total of 27 lessons.
The time to complete a lesson depends on how well a student progresses through the activities. Instructors can customize the course to meet school scheduling needs.
The course structure is modular. Units and lessons can be rearranged or sequenced based on institutional needs or preferences.