Examples for

Common Core Math: High School Number & Quantity

In high school, students compute with complex numbers, a category of numbers that includes all previously taught number systems—real, rational and irrational—as well as numbers with an imaginary part, denoted by the imaginary unit i. Students explore how different types of numbers can fill in gaps in mathematical concepts with which they are already familiar, such as exponents and polynomials. Students still maintain a focus on using numbers to describe real-world quantities, which includes using appropriate units and making accurate estimates. In advanced courses, students may also learn about vectors and matrices, which can be applied to students' existing knowledge of algebra and geometry.
Common Core Standards

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CCSS.Math.Content.HSN-RN.B.3
common core standard vm.b.4.b

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high school number and quantity common core standards
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Real Numbers

Compute with and explore properties of rational and irrational numbers.

Compute with rational exponents (CCSS.Math.Content.HSN-RN.A.2):

16^(1/4) + 9^(1/2)
(4^(1/3))^3

Explore the results of combining rational and irrational numbers (CCSS.Math.Content.HSN-RN.B.3):

rational number + rational number
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Quantities

Use numbers to accurately represent real-world quantities.

Use and interpret units in formulas (CCSS.Math.Content.HSN-Q.A.1):

(5 meters - 2 meters)/(18 seconds - 8 seconds)
500 pages at 2.25 minutes per page

Find reasonable estimates for real-world quantities (CCSS.Math.Content.HSN-Q.A.2):

pennies to cover 2 square feet
1000000 characters
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Complex Numbers

Represent and compute with complex numbers.

Convert between rectangular and polar coordinates (CCSS.Math.Content.HSN-CN.B.4):

convert 3 + 7i to polar coordinates
express (-1.5, 200 degrees) in Cartesian coordinates

Evaluate powers of complex numbers (CCSS.Math.Content.HSN-CN.B.5):

(6i + 5)^2
3(1 + 2i)^3
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Vectors & Matrices

Perform computations with vectors and matrices.

Compute the magnitude of a vector (CCSS.Math.Content.HSN-VM.A.1):

norm of {-3.25, 7.5}
||(10, 12)||

Add, subtract and multiply matrices (CCSS.Math.Content.HSN-VM.C.8):

{{1, 2}, {3, 4}} + {{2, -1}, {-1, 2}}
{{2, 5}, {6, 0}} * {{3, 4, 5}, {0, 5, 1}}
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