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Math Example--Complex Numbers--Complex Coordinates--Example 1

Math Example--Complex Numbers--Complex Coordinates--Example 1

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Topic

Complex Numbers

Description

The image shows a complex plane with points plotted in the First Quadrant. The complex numbers plotted are 1 + i, 5 + 3i, 2 + 8i, and 9 + 3i. Both real and imaginary parts are positive, so all points are in the First Quadrant. Example 1: The caption explains that since both real and imaginary parts of the complex numbers are positive, the points are restricted to the First Quadrant. The complex numbers plotted are: 1 + i, 5 + 3i, 2 + 8i, and 9 + 3i.

Complex numbers allow for a two-dimensional representation of numbers using real and imaginary components. Examples like these help students grasp how to plot complex coordinates, understanding both real and imaginary axes.

Seeing multiple worked-out examples is crucial for students to fully understand complex concepts like plotting complex numbers. Through varied examples, students can see consistent patterns and learn effective strategies.

Teacher’s Script: Imagine a number line that moves in two directions--right and up. Each complex number has a place on this plane, just like how we plot coordinates. Let's use this example to practice reading and plotting complex coordinates.

For a complete collection of math examples related to Complex Numbers click on this link: Math Examples: Complex Coordinates Collection.

Common Core Standards CCSS.MATH.CONTENT.HSN.CN.B.4, CCSS.MATH.CONTENT.HSN.CN.B.5, CCSS.MATH.CONTENT.HSN.CN.B.6
Grade Range 9 - 12
Curriculum Nodes Algebra
    • Expressions, Equations, and Inequalities
        • Numerical and Algebraic Expressions
Copyright Year 2020
Keywords complex numbers