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Unit 3 - Linear Relationships

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N-Gen Math™ 8

The full experience and value of eMATHinstruction courses are achieved when units and lessons are followed in order.  Students learn skills in earlier units that they will then build upon later in the course.  Lessons can be used in isolation but are most effective when used in conjunction with the other lessons in this course. All Lesson/Homework files, Spanish translations of those files, and videos are available for free.  Other resources, such as answer keys and more, are accessible with a paid  membership .

Each month August through May we release new resources for this course that are accessible with a Teacher Plus membership. We release new resources in unit order throughout the school year.  You can see a list of our new releases by visiting our  blog  and selecting the most recent newsletter.

Standards Alignment – Powered by EdGate

• Table of Contents for N-Gen Math 8 and Standards Alignment
• Unit 1 - The Algebra of One Variable
• Unit 2 - Tools of Geometry
• Unit 3 - Transformations
• Unit 4 - Similarity and Dilations
• Unit 5 - Equations of Lines
• Unit 6 - Functions
• Unit 6cc - Functions
• Unit 7 - Exponents and Roots
• Unit 8 - The Pythagorean Theorem
• Unit 9 - Volume and Surface Area of Solids
• Unit 10 - Scientific Notation
• Unit 11 - Systems of Equations
• Unit 12cc - Statistics of Two Variables

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• Solve equations and inequalities
• Simplify expressions
• Factor polynomials
• Graph equations and inequalities
• Advanced solvers
• All solvers
• Arithmetics
• Determinant
• Percentages
• Scientific Notation
• Inequalities

What can QuickMath do?

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

• The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
• The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
• The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
• The calculus section will carry out differentiation as well as definite and indefinite integration.
• The matrices section contains commands for the arithmetic manipulation of matrices.
• The graphs section contains commands for plotting equations and inequalities.
• The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

Math Topics

More solvers.

• Add Fractions
• Simplify Fractions

6-8 Math version 3.1415

Illustrative mathematics curriculum.

Driven by student discourse, IM Certified™ curricula are rich, engaging core programs built around focus, coherence, and rigor. The curricula are trusted, expert-authored materials developed to equip all students to thrive in mathematics.

About the curriculum

Spark discussion, perseverance, and enjoyment of mathematics..

IM 6–8 Math is a problem-based core curriculum rooted in content and practice standards to foster learning and achievement for all. Students learn by doing math, solving problems in mathematical and real-world contexts, and constructing arguments using precise language. Teachers can shift their instruction and facilitate student learning with high-leverage routines that guide them in understanding and making connections between concepts and procedures.

Intentional lesson design that promotes mathematical growth.

IM 6–8 Math lessons are designed with a focus on independent, group, and whole-class instruction. This format builds mathematical understanding and fluency for all students. Teachers will also use Warm-ups and Cool-downs to help guide lesson pacing and planning.

Highest Rated 6-8 Mathematics Curricula

IM 6–8 Math, focuses on supporting teachers in the use of research-based instructional routines to successfully facilitate student learning. IM 6-8 Math, authored by Illustrative Mathematics, is highly rated by EdReports for meeting all expectations across all three review gateways. EdReports is an independent nonprofit that reviews K–12 instructional materials for focus, coherence, rigor, mathematical practices, and usability. Read the full analysis here.

For Students

View student materials for:

En Español: Grado 6

En español: grado 7, en español: grado 8, for families.

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For Educators

View teacher materials for:

6-8 Math version 3.1415 Teacher Guide

• About These Materials
• Design Principles
• What is a "Problem-Based" Curriculum?
• A Typical IM Lesson
• How to Use the Materials
• Information for Families

Supporting Diverse Learners

• Access For English Language Learners
• Access For Students with Disabilities
• Learning Goals and Targets
• Diagnostic Assessments
• Summative Assessments
• Screencast Tutorials

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Alta Sierra Intermediate

• Math 6 Unit 4

Math 6 Unit 4 - Illustrative Mathematics Online Resources

• Math 6 Unit 1
• Math 6 Unit 2
• Math 6 Unit 3
• Math 6 Unit 5
• Math 6 Unit 6
• Math 6 Unit 7
• Math 6 Unit 8