## Eighth Grade Curriculum Overview

In Grade 8, instructional time should focus on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bi-variate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.**Standards**

The Number System

Expressions and Equations

- Know that there are numbers that are not rational, and approximate them by rational numbers.

Functions

- Work with radicals and integer exponents.
- Understand the connections between proportional relationships, lines, and linear equations.
- Analyze and solve linear equations and pairs of simultaneous linear equations.

Geometry

- Define, evaluate, and compare functions.
- Use functions to model relationships between quantities.

Statistics and Probability

- Understand congruence and similarity using physical models, transparencies, or geometry software.
- Understand and apply the Pythagorean Theorem.
- Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.

- Investigate patterns of association in bi-variate data.

**Mathematical Practices**

- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.

**Math 8 Units of Study**

- Real Numbers
- Linear Relationships I (Linear Equations in One Variable)
- Pythagorean Theorem
- Volume
- Linear Relationships II (Linear Equations in Two Variables)
- Congruence and Similarity with Transformational Geometry
- Systems of Equations
- Statistics and Probability

* The Math 8 Enriched class (for 8th grade students) covers all of the same units, but in more depth as time allows.

** The Math 7-8 class (for 7th grade students) covers all of the same units in more depth, in addition to the following units from the 7th grade curriculum: Proportional Reasoning and Applications of Percents

*** For more information, please visit the Connecticut State Department of Education’s resource page.