Mathematics Common Core State Standards Curriculum Map



Mathematics Common Core State Standards Curriculum Map

George County School District…2014-2015

| |Unit 6: Rational and Irrational Numbers | |

|Grade Level: 8th grade |Essential Questions: What are the different ways to represent rational numbers? How do you distinguish |Suggested Days: 11 |

| |between rational and irrational numbers? How can you make a rational | |

|Vocabulary: | |

|Square Root |Mathematical Practices: Highlighted practices to be assessed. |

|Principal Square Root |1. Make sense of problems and persevere in solving them. |

|Perfect Square |2. Reason abstractly and quantitatively. |

|Rational Number |3. Construct viable arguments and critique the reasoning of others. |

|Irrational Number |4. Model with mathematics. |

|Real Number |5. Use appropriate tools strategically. |

|Density Property |6. Attend to precision. |

| |7. Look for and make use of structure. |

| |8. Look for and express regularity in repeated reasoning. |

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| Content Standard |Resources |Assessments |

|8.EE.2. Use square root and cube root symbols to represent |Holt McDougal Mathematics Grade 8 |Pre-test |

|solutions to equations of the form x2 = p and x3 = p, where p is a |Go Math |Formative assessments: |

|positive rational number. Evaluate square roots of small perfect |8th Grade Unpacking |Observations, anecdotal notes, admit/exit slips, math journals, |

|squares and cube roots of small perfect cubes. Know that √2 is |JBHM 8th Grade |peer/self assessments, think-pair-share, quizzes |

|irrational. |Exploration in Core Math |Post test (summative) |

| |Holt McDougal Algebra 1 |I Can Statements: |

|8.NS.1 Know that numbers that are not rational are called |JBHM Algebra |read perfect square and cube numbers |

|irrational. Understand informally that every number has a decimal | |define square and cube root. |

|expansion; for rational numbers show that the decimal expansion | |solve square root and cube root equations. |

|repeats eventually, and convert a decimal expansion which repeats | |recognize that the inverse to a power is its root. |

|eventually into a rational number. | (8.EE.2) |understand that non-perfect square and cube roots are irrational. |

| | |define and recognize an irrational number. |

|8.NS.2 Use rational approximations of irrational numbers to compare| |define a rational and irrational number. |

|the size of irrational numbers, locate them approximately on a | |recognize that a repeating/terminating decimal is a rational number. |

|number line diagram, and estimate the value of expressions (e.g., | |change rational and irrational numbers to decimals. |

|(pi)^2). For example, by truncating the decimal expansion of the |(8.EE.2) |convert a decimal number to a fraction. |

|square root of 2, show that the square root of two is between 1 and | |determine which number is bigger when given any set of numbers |

|2, then between 1.4 and1.5, and explain how to continue on to get | in any form. |

|better approximations. |fect-square |locate rational and irrational numbers on a number line. |

| | |construct a number line that includes rational and irrational |

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| |-Expressions-and-Equations-8EE-2-582335 ($2.50) |compare and contrast irrational numbers identifying larger vs. |

| | |smaller numbers. |

| | (8.NS.1) |Estimate the decimal for a square root. |

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| |(More websites are on the next page.) | |

|NOTE: Websites: (awesome) |

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| (8.EE.2) |

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| (great site) |

| (lots of activities) |

| (8.NS.1) |

| (8.NS.1) |

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| (8.NS.1) |

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| (free download) |

| (8.NS.1) |

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| ($3.00) both 8.NS.1 and 2) |

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| (8.NS.1) |

| (8.NS.2) |

| (Smarter Balance practice test) |

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