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.
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.
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.
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 Table
Given data in table form, the student will use the data table to interpret solutions to problems.
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.
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.
Linguistic Roots and Affixes (English 8 Reading)
You will be able to recognize linguistic roots and affixes to use in determining the meanings of academic English words and in other content areas.
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.
Using Theoretical and Experimental Probability to Make Predictions
Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.
Denotation and Connotation (English I Reading)
You will be able to distinguish between the denotative (dictionary) meaning of a word and its connotative (emotions or associations that are implied rather than literal) meaning.
Predicting, Finding, and Justifying Data from Verbal Descriptions
Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.
Make Connections Between and Across Literary Texts (English 7 Reading)
You will learn how to make connections between and across texts, including other media (e.g., film, play), and provide textual evidence.
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.