PPT-Quadratic Rectangles

This activity uses the area of squares and rectangles to help expand and factorise simple quadratic expressions You will need a selection of large squares small squares and rectangles Large squares measure x by x. This PowerPoint . was adapted from . http://. www.purplemath.com/modules/quadform2.htm. and . http://. teachers.henrico.k12.va.us/math/hcpsalgebra2/Documents/6-4/2006_6_4.ppt. Looking Back…. In our previous lesson, we solved quadratic function by . Page 3. General equation of a quadratic:. Quadratic Formula:. Notice where the letters come from for the formula. We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well.. By Eric Huang & Richard E. . Korf. 25. th. AAAI Conference, 2011. Florida Institute of Technology. CSE 5694 Robotics & AI. Mindaugas Beliauskas. Problem Overview. Rectangle-packing problem – finding . Hubarth. Algebra. Standard Form of a Quadratic Function. A quadratic function is a function that can be written in the form . , . where a, b, and c are real numbers and a. 0. This form is called standard form of a. A Meta-CSP Approach. Chris Reeson . Advanced Constraint Processing. Fall 2009. By Michael D. Moffitt and Martha E. Pollack, AAAI 2006. 1. Overview. Overview of the problem. Techniques. Traditional. Forward Checking. Essential Questions . and Quadratics review. Function, relation, domain, range, perfect square trinomial, difference of perfect squares, roots/zeroes, real and complex roots, extrema, minimum, maximum, y-intercept, line or Axis of symmetry, standard form, vertex form, intercept form, 1. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. Find the roots:. 1) x. 2. – 64 = 0 . 2) 8x. 2. – 64x = 0. 3) x. 2. – 16x + 64 = 0. 1) Ensure the quadratic equation is set to zero.. 2) Factor the quadratic equation (GCF, perfect square binomial [DOTS], trinomial). paper . use this . framing method to make concentric rectangles. . Start . with a rectangle that is 3 units by 6 units in the center of your paper. . “. Frame. ”. this rectangle in another, being sure to keep the distance between the two shapes constant. Note the dimensions of your new rectangle.. There are many uses of parabolas in real-world applications.. Graphs of Quadratic Functions. Plotting quadratic curves. If you remember a relation is a correspondence between two sets of numbers called the . General Equation. Y = ax². What if A was positive?. Test in your calculator. What if A Was negative?. Test in your calculator.. Y = ax². What if A was greater than 1?. Test in your calculator. What if A Was less than 1?. Solve each system of equations.. a = . 0, . b. = –5. . 1. . 2. . 3. . 2. a. – 6. b. = 30. 3. a. . b. = –5. 2. a. – 5. b. = 16. 4. a. – 2. b. = 8. a. . b. = 6. 9a 3b = 24. December 5. , 2016. Quadratic functions are polynomial equations that have an __________ in the equation and ____________ is the highest exponent of x. . The standard form of a quadratic equation is :. Steven J Miller, Williams College (sjm1@Williams.edu). 1. https://web.williams.edu/Mathematics/sjmiller/public_html/math/talks/talks.html. Goals. Learn how to solve polynomial equations and see applications of polynomials and ways to find their roots..