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Common Core: Math
Topic: Common Core Learning Standards
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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 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...

 Algebra I Module 5: A Synthesis of Modeling with Equations and Functions In Module 5, students synthesize what they have learned during the year about functions to select the correct function type in...

 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 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 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...

 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...

 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...

 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...

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

 Student Outcomes Students practice operations with numbers expressed in scientific notation and standard notation.

 Student Outcomes Students continue to practice working with very small and very large numbers expressed in scientific notation. Students read, write, and perform operations on numbers expressed in...

 Student Outcomes Students understand how choice of unit determines how easy or difficult it is to understand an expression of measurement. Students determine appropriate units for various...

 Student Outcomes Students compare numbers expressed in scientific notation. Students apply the laws of exponents to interpret data and use technology to compute with very large numbers.

 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...

 Student Outcomes Students perform translations of figures along a specific vector. Students label the image of the figure using appropriate notation. Students learn that a translation maps lines to...

 Student Outcomes Students learn that when lines are translated they are either parallel to the given line, or the lines coincide. Students learn that translations map parallel lines to parallel lines...