Unit 1 Relationships Between Quantities and Expressions
Notes
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Learning ActivitiesOperations of Polynomials
Radical Expressions
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Standards
MGSE9-12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. (i.e., simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots).
Use properties of rational and irrational numbers.
MGSE9-12.N.RN.3 Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational.
Reason quantitatively and use units to solve problems.
MGSE9-12.N.Q.1 Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems:
MGSE9-12.N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. For example, money situations are generally reported to the nearest cent (hundredth). Also, an answers’ precision is limited to the precision of the data given.
Interpret the structure of expressions.
MGSE9-12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context.
MGSE9-12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients, in context.
MGSE9-12.A.SSE.1b Given situations which utilize formulas or expressions with multiple terms and/or factors, interpret the meaning (in context) of individual terms or factors.
Perform arithmetic operations on polynomials.
MGSE9-12.A.APR.1 Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Retrieved from: https://www.georgiastandards.org/Georgia-Standards/Frameworks/Geometry-Curriculum-Map.pdf
Use properties of rational and irrational numbers.
MGSE9-12.N.RN.3 Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational.
Reason quantitatively and use units to solve problems.
MGSE9-12.N.Q.1 Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems:
- Identify, use, and record appropriate units of measure
within context, within data displays, and on graphs; - Convert units and rates using dimensional analysis
(English-to-English and Metric-to-Metric without conversion factor provided and between English and Metric with conversion factor); - Use units within multi-step problems and formulas; interpret units of input and resulting units of output.
MGSE9-12.N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. For example, money situations are generally reported to the nearest cent (hundredth). Also, an answers’ precision is limited to the precision of the data given.
Interpret the structure of expressions.
MGSE9-12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context.
MGSE9-12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients, in context.
MGSE9-12.A.SSE.1b Given situations which utilize formulas or expressions with multiple terms and/or factors, interpret the meaning (in context) of individual terms or factors.
Perform arithmetic operations on polynomials.
MGSE9-12.A.APR.1 Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Retrieved from: https://www.georgiastandards.org/Georgia-Standards/Frameworks/Geometry-Curriculum-Map.pdf