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.
Developing the Concept of Slope
Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.
Generating Different Representations of Relationships
Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description.
Predicting, Finding, and Justifying Data from a Graph
Given data in the form of a graph, the student will use the graph to interpret solutions to problems.
Equipment for Biology
Given investigation scenarios, students will determine the equipment that best fits the procedure.
Disruptions of the Cell Cycle: Cancer
Given illustrations or descriptions, students will identify disruptions of the cell cycle that lead to diseases such as cancer.
Mechanisms of Genetics: DNA Changes
Given illustrations or partial DNA sequences, students will identify changes in DNA and the significance of these changes.
Approximating the Value of Irrational Numbers
Given problem situations that include pictorial representations of irrational numbers, the student will find the approximate value of the irrational numbers.
Expressing Numbers in Scientific Notation
Given problem situations, the student will express numbers in scientific notation.
Taxonomy Standards
Given examples, students will recognize the importance of taxonomy to the scientific community.
Taxonomy: Major Groups
Given illustrations or descriptions, students will determine the classification of organisms into domains and kingdoms.
Homeostasis: Ecological Systems
Given images, videos, or scenarios, identify and describe the responses of organisms, populations, and communities to various changes in their external environment.
Biological Systems: Homeostasis
Identify and describe internal feedback mechanisms involved in maintaining homeostasis given scenarios, illustrations, or descriptions.
Relationships Between Organisms: Food Chains, Webs, and Pyramids
Given illustrations, students will analyze the flow of matter and energy in food chains, food webs, and ecological pyramids.
Organisms' Adaptations
Given scenarios, illustrations. or descriptions, the student will compare variations and adaptations of organisms in different ecosystems.
Determining if a Relationship is a Functional Relationship
The student is expected to gather and record data & use data sets to determine functional relationships between quantities.
Graphing Dilations, Reflections, and Translations
Given a coordinate plane, the student will graph dilations, reflections, and translations, and use those graphs to solve problems.
Graphing and Applying Coordinate Dilations
Given a coordinate plane or coordinate representations of a dilation, the student will graph dilations and use those graphs to solve problems.
Graphing Proportional Relationships
Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.
Analyzing Scatterplots
Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association.