Curriculum - Mathematics

MATHEMATICAL PRACTICE STANDARDS

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.

6th Grade

This is a comprehensive sixth grade math course that also incorporates some of the seventh grade standards. This course emphasizes connections to prior learning about operations, mathematical thinking, conceptual understanding and discourse. Content is focused on these areas:

developing understanding ratio, rate and proportion and application in a variety of contexts;
extending understanding of the number system and operations to include rational numbers: fractions, decimals and negative numbers;
writing, interpreting, and using expressions and equations;
describing and summarizing numerical data sets;
reasoning about relationships among shapes to determine area, surface area and volume.

Unit Topics studied in 6+ Mathematics:

Unit 1: Statistics and Probability

Unit 2: Number System

Unit 3: Ratios and Proportional Relationships

Unit 4: Expressions and Equations

Unit 5: Geometry Basics

7th Grade

This is a comprehensive math course for students in seventh grade. Math 7+ incorporates a robust combination of seventh and eighth grade Common Core standards. This course builds on connections to prior learning about proportion and algebraic relationships. With an emphasis on the Standards for Mathematical Practice, students will develop both procedural fluency and conceptual understanding throughout the course. Content is focused on these areas:

Understand the connections between proportional relationships, lines, linear equations.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Investigate chance processes and develop, use, and evaluate probability models.
Define, evaluate and compare functions.

Students completing this course may take Algebra 1 as 8th graders.

7+ Units of Study:

Unit 1: Number System

Unit 2: Ratios and Proportional Relationships

Unit 3: Expressions and Equations + Functions

Unit 4: Statistics and Probability

Unit 5: Geometry

7th Graders can take either 7th Grade Math or Algebra I:

NOTE: Students in 7th grade who take Algebra will attend that class at Eastlake High School with an Eastlake high school teacher and students. 8th graders who have taken Algebra at Eastlake as 7th graders, or at another middle school in the district as a seventh grader, will take Geometry at Eastlake High School with an Eastlake High School teacher and students.

7th Grade Math Content Areas

Algebra I

(1) develop understanding of and apply proportional relationships;

(2) develop understanding of operations with rational numbers (explain the rules for adding, subtracting, multiplying, and dividing with negative numbers) and work with expressions and linear equations;

(3) solve problems involving scale drawings and informal geometric constructions, and work with two- and three- dimensional shapes to solve problems involving area, surface area, and volume; and

(4) draw inferences about populations based on samples.

The Mathematical Practice Standards apply throughout the course.

District adopted curriculum: Glencoe Math Course 2

1) Write equations and functions (linear, exponential, quadratic, sequences);

2) Solve linear equations, inequalities, systems, and quadratic equations;

3) Graph linear, quadratic, exponential functions and linear systems including transformations;

4) Translate between various forms of expressions using properties (linear, quadratic, exponential, polynomial);

5) Apply problem solving strategies to analyze, model, and interpret data and solutions to real world scenarios.

The Mathematical Practice Standards apply throughout the course.

District-adopted curriculum: Big Ideas Math

8th Grade

In mathematics, 8th graders will:

(1) formulate and reason about expressions and equations, including modeling an association in bivariate data with a linear equation and solve linear equations and systems of equations;

(2) explore the concept of a function and using functions to describe quantitative relationships;

(3) analyze two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understand and apply the Pythagorean Theorem.

The Mathematical Practice Standards apply throughout the course.

District-adopted curriculum: Glencoe Math Course 3

8th Graders can take either 8th grade math (standard course pathway, Algebra I, or Geometry)

NOTE: Students in 8th grade who take Algebra I or Geometry will be attending that class at Eastlake High School.