The Mandelbrot Set - … Game lessons. Students are introduced to the notion of a complexnumber and function iteration in order to motivate the discussion of … Julia sets and the Mandelbrot set have been introduced to complexnumbers and function iteration Standards The activities and discussions in this … on two variable functions (which can also be introduced as complexnumber 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 complexnumbers in polynomial identities and equations. related instructional resources … that it is true for quadratic polynomials. Belongs to: Use complexnumbers in polynomial identities and equations. related instructional resources more information … (s) Keywords: quadratic formula, imaginary solutions, Fundamental Theorem of Algebra, complexnumbers 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 complexnumbers. MA.A.1.4.3 Understands concrete and symbolic representations of real and complexnumbers in real … Day 9 of the unit The Math Connection NOTE: Irrational numbers and complexnumbers are not addressed or assessed in this lesson. 1 … be summatively assessed at the completion of the unit. Irrational numbers and complexnumbers are not addressed or assessed in this lesson. Extensions … User Rating:Grade Level: 9-12
Applets - … .jp/math/java/comp/... 9 to 12 complexnumbers Applets displaying the proerties of complexnumbers 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 complexnumbers (z and c) as ordered pairs of real numbers, then click a button to iterate … User Rating:
Rising and Falling Fractions - … integers, rational numbers, irrational numbers, real numbers and complexnumbers. MA.A.1.4.3 Understands concrete and symbolic representations of real and complexnumbers in real … of the standards involving problem solving with fractions. Irrational and complexnumbers 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 complexnumber 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 complexnumber sentence … User Rating:Grade Level: 3-5
A forgotten Science - … Mathematics? It is an ancient technique, which simplifies multiplication, divisibility, complexnumbers, 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 complexnumber 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 complexnumbers. MA.A.1.4.3 Understands concrete and symbolic representations of real and complexnumbers in real … Procedures NOTE: Irrational numbers addressed in MA.A.1.4.2 & MA.A.1.4.3, and complexnumbers addressed in MA.A … User Rating:Grade Level: 9-12
ED 5601 Watershed Investigations Summer Institute - … symbolic models for operations with real and complexnumbers and algebraic expressions. ? 2. Compute with real numbers, complexnumbers, algebraic expressions, matrices and vectors using … -andpencil algorithms. ? 4. Efficiently and accurately apply operations with real numbers, complexnumbers, 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