Math Curriculum Guide

Description

This eighth-grade Algebra 1 curriculum spans 180 days of instruction organized into four major units. Unit 1A introduces geometry concepts including the Pythagorean Theorem, volume formulas, and square and cube roots. Unit 1 develops linear equations, inequalities, systems of equations, and foundational function concepts. Unit 2 extends function work to include exponential functions, linear systems, and function transformations. Unit 3 focuses on quadratic equations and polynomials, covering factoring, solving methods, and analyzing quadratic functions. Unit 4 applies statistical reasoning to data representation and interpretation, including scatter plots, lines of best fit, and categorical data analysis. Throughout all units, students use technology strategically, justify their reasoning, and apply mathematics to real-world problems.

Big Ideas

• Equations and inequalities are tools for representing relationships between quantities and solving problems in mathematical and real-world contexts.
• Functions are rules that define relationships between inputs and outputs; they can be represented algebraically, graphically, numerically, and verbally.
• Different function families exhibit distinct characteristics and growth patterns that make them suitable for modeling different types of real-world phenomena.
• Data analysis involves selecting appropriate representations and statistics to summarize, compare, and interpret information about single and multiple variables.

Essential Questions

• How can we represent and solve equations and inequalities to model real-world situations?
• What does it mean for two quantities to have a functional relationship, and how can we represent and analyze functions in multiple ways?
• How do different function families (linear, exponential, quadratic) model different types of growth and change?
• How can data be collected, organized, and analyzed to reveal patterns and support decision-making?