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Common Core: Math
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 Grade 8 Mathematics Module 1: Integer Exponents and Scientific Notation In Grade 8 Module 1, students expand their basic knowledge of positive integer exponents and prove the Laws of Exponents for...

 Grade 8 Module 4: Linear Equations In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs. Students understand the...

 Grade 8 Module 2: The Concept of Congruence In this module, students learn about translations, reflections, and rotations in the plane and, more importantly, how to use them to precisely define the...

 Student Outcomes Students know what it means for a number to be raised to a power and how to represent the repeated multiplication symbolically. Students know the reason for some bases requiring...

 Grade 8 Module 3: Similarity In Module 3, students learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean Theorem based on the AngleAngle criterion for similar...

 Grade 8 Module 5: Examples of Functions from Geometry In the first topic of this 15 day module, students learn the concept of a function and why functions are necessary for describing geometric...

 Student Outcomes Students use the definition of exponential notation to make sense of the first law of exponents. Students see a rule for simplifying exponential expressions involving division as a...

 Grade 8 Module 6: Linear Functions In Grades 6 and 7, students worked with data involving a single variable. Module 6 introduces students to bivariate data. Students are introduced to a function as...

 Grade 8 Module 7: Introduction to Irrational Numbers Using Geometry Module 7 begins with work related to the Pythagorean Theorem and right triangles. Before the lessons of this module are presented...

 In Topic A, students begin by learning the precise definition of exponential notation where the exponent is restricted to being a positive integer. In Lessons 2 and 3, students discern the structure...

 Student Outcomes Students write mathematical statements using symbols to represent numbers. Students know that written statements can be written as more than one correct mathematical sentence.

 Student Outcomes Students will know how to take powers of powers. Students will know that when a product is raised to a power, each factor of the product is raised to that power. Students will write...

 Student Outcomes Students know that a number raised to the zeroth power is equal to one. Students recognize the need for the definition to preserve the properties of exponents.

 Student Outcomes Students are introduced to vocabulary and notation related to rigid motions (e.g., transformation, image, and map). Students are introduced to transformations of the plane and learn...

 In Topic A, students begin by transcribing written statements using symbolic notation. Then, students write linear and nonlinear expressions leading to linear equations, which are solved using...

 Student Outcomes Students know the definition of a number raised to a negative exponent. Students simplify and write equivalent expressions that contain negative exponents.

 Student Outcomes Students extend the previous laws of exponents to include all integer exponents. Students base symbolic proofs on concrete examples to show that (xb)a = xab is valid for all integer...

 Student Outcomes Students know the properties of linear and nonlinear expressions in x. Students transcribe and identify expressions as linear or nonlinear.

 Student Outcomes Students know that positive powers of 10 are very large numbers, and negative powers of 10 are very small numbers. Students know that the exponent of an expression provides...

 Student Outcomes Students compare and estimate quantities in the form of a single digit times a power of 10. Students use their knowledge of ratios, fractions, and laws of exponents to simplify...

 Student Outcomes Students extend the use of the properties of equality to solve linear equations having rational coefficients.

 In Topic B, students’ understanding of integer exponents is expanded to include the concept of magnitude as a measurement. Students learn to estimate how big or how small a number is using magnitude...

 Student Outcomes Students write, add and subtract numbers in scientific notation and understand what is meant by the term leading digit.

 Student Outcomes Students know that a linear equation is a statement of equality between two expressions. Students know that a linear equation in x is actually a question: Can you find all numbers...