Pilot Algebra Foundations
The primary purpose of the Algebra Foundations course is to promote opportunities for deep understanding of core algebraic concepts to develop algebraic thinkers. The course is composed of 5 topics: Operating with Rational Numbers, Expressions and Equations, Developing Function Foundations, Modeling Linear Equations, and Quadratics. Throughout these topics, students have the opportunity to develop foundational understandings and draw connections to key concepts.
This course is intended to strengthen foundational conceptual understandings from middle school math through Algebra I and is designed to be flexible in meeting the needs of students. Your individual course is created based solely on data that suggests which topics will best develop your students as algebraic thinkers. Each learning session is designed to further develop a skill, and together, these sessions connect skills and concepts to key algebraic understandings. The student learning experience of the Algebra Foundations course promotes conceptual understanding through a focus on active learning and making sense of the mathematics.
Converting Between Measurement Systems
Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.
Given background information, students will be able to identify economic, social, and political issues surrounding the Gilded Age. Students will identify significant historical figures associated with the Gilded Age.
The student understands the causes of the Great Depression.
Given primary and secondary sources of information about selected New Deal measures (e.g., the creation of the Civilian Conservation Corps or the passage of the Agricultural Adjustment Act), students will analyze how these measures affected various regions of the United States.
Given background information, students will identify the social and economic impact of World War II on the American home front, such as the Great Depression, rationing, and increased opportunity for women and minority employment.
Students will identify ways in which Cold War tensions were intensified.
Given a timeline, students will understand the political, economic, and social impact of selected U.S. political leaders on the world from the 1970s into the 21st century.
Given background information, students will describe the changing role of the United States as a world power during the Carter Administration.
Given information about social issues throughout U.S. history, students will describe the causes and effects of significant societal issues.
Given selected examples of American art, music, and literature, students will be able to identify the era of U.S. history that is reflected in the art.
Given background information about selected historical figures, students will be able to analyze the importance and contributions of women and people of various racial, ethnic, and religious groups to the national identity and the cultural landscape.
Finding the Probabilities of Dependent and Independent Events
Given problem situations, the student will find the probability of the dependent and independent events.
Recognizing Misuses of Graphical or Numerical Information
Given a problem situation, the student will analyze data presented in graphical or tabular form by evaluating the predictions and conclusions based on the information given.
Evaluating Methods of Sampling from a Set of Data
Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.
Determining Parent Functions (Verbal/Graph)
Given a graph or verbal description of a function, the student will determine the parent function.
Determining Reasonable Domains and Ranges (Verbal/Graph)
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Interpreting Graphs
Given a graph, the student will analyze, interpret, and communcate the mathematical relationship represented and its characteristics.
Developing the Concept of Slope
Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.
Using Multiplication by a Constant Factor
Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.