Lessons and Tools for Teachers

#### Lessons for Complex Numbers

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• The Mandelbrot Set - … Game lessons. Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of … Julia sets and the Mandelbrot set have been introduced to complex numbers and function iteration Standards The activities and discussions in this … on two variable functions (which can also be introduced as complex number functions). + Lead a class discussion on function iteration and julia …
User Rating: Grade Level: 9-12
• Where did the answers go? Oh, they're imaginary! - … :Solve quadratic equations with real coefficients that have complex solutions. Belongs to: Use complex numbers in polynomial identities and equations. related instructional resources … that it is true for quadratic polynomials. Belongs to: Use complex numbers in polynomial identities and equations. related instructional resources more information … (s) Keywords: quadratic formula, imaginary solutions, Fundamental Theorem of Algebra, complex numbers Instructional Component Type(s): Lesson Plan Resource Collection: CPALMS Lesson …
User Rating: Grade Level: 9-12
• The Large and Small of It - … integers, rational numbers, irrational numbers, real numbers and complex numbers. MA.A.1.4.3 Understands concrete and symbolic representations of real and complex numbers in real … Day 9 of the unit The Math Connection NOTE: Irrational numbers and complex numbers are not addressed or assessed in this lesson. 1 … be summatively assessed at the completion of the unit. Irrational numbers and complex numbers are not addressed or assessed in this lesson. Extensions …
User Rating: Grade Level: 9-12
• Applets - … .jp/math/java/comp/... 9 to 12 complex numbers Applets displaying the proerties of complex numbers http://www.ies.co.jp/math/java/conics … fractal. Parameters: Grid type, number of bending points on the line. Julia Sets fractals Students enter a complex value for c in … Function Pump functions Students enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate …
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• Rising and Falling Fractions - … integers, rational numbers, irrational numbers, real numbers and complex numbers. MA.A.1.4.3 Understands concrete and symbolic representations of real and complex numbers in real … of the standards involving problem solving with fractions. Irrational and complex numbers are not addressed or assessed in this lesson. NOTE 1 … ) Students demonstrate the understanding of the relative size of rational numbers (MA.A.1.4 .2), and concrete and symbolic representations …
User Rating: Grade Level: 9-12
• Multiplication Game - … their times table and make complete number sentences (simple and complex) Resources:Multiplication strips (question strips & number strips) Tokens e.g. ice cream … 2, 3 x 4, 4 x 3 3. Demonstrate a complex number sentence involving + or - (5 x 2 + 2, 3 x 5 … that number sentences are solved from left to right with multiplication phrases being solved before addition phrases. 6. Demonstrate a complex number sentence …
User Rating: Grade Level: 3-5
• A forgotten Science - … Mathematics? It is an ancient technique, which simplifies multiplication, divisibility, complex numbers, squaring, cubing, square and cube roots. Even recurring decimals and … sub-sutras, the Vedic seers were able to mentally calculate complex mathematical problems. 6. Why did the Vedic Seers need Vedic … which has several meanings. This is useful in solving many complex factors and equations.
User Rating: Grade Level: K-12
• The Quadratic Quandary - … . Recognize when the quadratic formula gives complex solutions and write them as a bi for real numbers a and b. Particular alignment … . Recognize when the quadratic formula gives complex solutions and write them as a bi for real numbers a and b. Belongs to … choice of methods in solving quadratic equations including those with complex roots. Prior Knowledge: What prior knowledge should students have for … the square root of both sides, in both real and complex number systems. This will be assessed by a bellwork assignment that …
User Rating: Grade Level: 9-12
• When Are We Ever Going to Use This Math? - … integers, rational numbers, irrational numbers, real numbers and complex numbers. MA.A.1.4.3 Understands concrete and symbolic representations of real and complex numbers in real … Procedures NOTE: Irrational numbers addressed in MA.A.1.4.2 & MA.A.1.4.3, and complex numbers addressed in MA.A …
User Rating: Grade Level: 9-12
• ED 5601 Watershed Investigations Summer Institute - … symbolic models for operations with real and complex numbers and algebraic expressions. ? 2. Compute with real numbers, complex numbers, algebraic expressions, matrices and vectors using … -andpencil algorithms. ? 4. Efficiently and accurately apply operations with real numbers, complex numbers, algebraic expressions, matrices and vectors in solving problems SCIENCE BENCHMARKS … r is the length of its radius. Pi is a number that is approximately 3.14159. Calculating volume of geometric shapes …
User Rating: Grade Level: 9-12