Course Overview
FIRST SEMESTER
Unit 1: Investigating Linear Expressions, Equations & Inequalities in One Variable
Expected Dates: Beginning of School Year to Early September (5 weeks) In this unit, students will incorporate patterning and algebraic reasoning to create, interpret, solve, and graph linear equations and inequalities in one variable. The equations and inequalities include those with rational coefficients, variables on both sides and whose solutions require the use of the distributive property and combining of like terms. Students will interpret expressions with multiple factors and/or terms and manipulate linear and literal equations expressed in various forms. Unit 2: Modeling Linear Relationships & Functions Expected Dates Part 1: September to Early November (6 weeks) In this unit, students will analyze the connections between proportional and nonproportional lines and equations and be able to relate their graphs to their solution sets in the coordinate plane. They will apply functional and graphical reasoning to identify whether or not functions are linear or nonlinear. Students will also interpret, write, graph, and solve linear functions in different forms, depending upon the given context. Unit 3: Investigating Data & Statistical Reasoning Expected Dates: Early November to December (5 weeks) In this unit, students will extend the study of linear relationships by exploring models and tables. They will apply their functional and graphical reasoning to model relationships between quantities and describe the rate of change. The study of statistics expands from more simplistic samples and collections in sixth and seventh grade, to bivariate data, which can be graphed and a line of best fit determined. They will also make predictions and answer statistical questions based on data distributions. |
SECOND SEMESTER
Unit 4: Real-Life Phenomena Explored Through Systems of Linear Equations
Expected Dates: January to Early February (5 weeks) In this unit, students will extend the study of linear relationships by exploring models and tables. They will apply their functional and graphical reasoning to model relationships between quantities and describe the rate of change. The study of statistics expands from more simplistic samples and collections in sixth and seventh grade, to bivariate data, which can be graphed and a line of best fit determined. They will also make predictions and answer statistical questions based on data distributions. Unit 5: Irrationals, Integer Exponents and Scientific Notation Expected Dates: Early February to Mid March (5 weeks) In this unit, students extend their knowledge of numerical reasoning and real numbers to include irrational numbers, develop an understanding of the properties of exponents, and perform operations with numbers expressed in scientific notation. Unit 6: Exploring Geometric Relationships Expected Dates: Mid-March to Mid-April (4 weeks) In this unit, students will extend their work with irrational numbers and apply their geometric and spatial reasoning to interpret and solve problems involving the Pythagorean Theorem. Students will work with right triangles and investigate proofs of the Pythagorean Theorem and its converse. They will also extend their knowledge of volume from previous grades to solve problems involving cones, cylinders, and spheres. Unit 7: Review Expected Dates: Mid- April to End of School (4 weeks) The capstone unit applies content learned throughout the school year. The capstone unit is an interdisciplinary unit that allows students to create a presentation, report, or demonstration that could include their models used to answer an overarching driving question. (e.g., Students can present their solution(s), findings, project, or answer to the driving question to a larger audience during the culminating capstone unit.) |