Putting things in perspective Adrian Oldknow 9 th December 2004.

Slides:



Advertisements
Similar presentations
Conics Review Your last test of the year! Study Hard!
Advertisements

Conics. Parabolas Definition - a parabola is the set of all points equal distance from a point (called the focus) and a line (called the directrix). Parabolas.
Parabolas $ $300 $300 $ $ $ $ $ $ $ $ $ $ $ $ $ $100.
1 Class #23 Celestial engineering Kepler’s Laws Energy, angular momentum and Eccentricity.
Mrs. Gomez Algebra II Pre-AP

Intro to Conic Sections. It all depends on how you slice it! Start with a cone:
11.8 Polar Equations of Conic Sections (skip 11.7)
Lesson 10-1 Algebra Check Skills You’ll Need
10.3 Hyperbolas. Circle Ellipse Parabola Hyperbola Conic Sections See video!
Taxicab Geometry The student will learn about: other geometric figures in Taxicab Geometry. 1.
Section 8.1 Conic Basics. Names of Conics  Circle  Ellipse  Parabola  Hyperbola.
Introduction to Parabolas SPI Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the.
8.6 Conic Sections Write equations of conic sections in standard form Identify conic sections from their equations.
What is the standard form of a parabola who has a focus of ( 1,5) and a directrix of y=11.
Conic Sections in Polar Coordinates Lesson Definition of Parabola Set of points equal distance from a point and a line  Point is the focus 
Hosted by Mrs. Hopkins We need teams of no more than 4 people, and each team needs a team name and whiteboard. Each team will get to pick a question,
Information Link Interactive and Informational. Information Conics Conics Exponants & Logs - Exponants &
50 Miscellaneous Parabolas Hyperbolas Ellipses Circles
10-3 Parabolas What? Again?. Psst – hey – didn’t we see parabolas before? In section 2-8 we graphed parabolas by plotting points, because we were looking.
Sullivan Algebra and Trigonometry: Section 11.5 Objectives of this Section Identify a Conic Use a Rotation of Axes to Transform Equations Discuss an Equation.
Warm Up What is the standard form of a parabola? What is the standard form of a circle? What is the standard form of a ellipse? What is the standard form.
Circles Ellipse Parabolas Hyperbolas
Circles – An Introduction SPI Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the.
Conic Sections Conic sections come from the double cones above and a plane that intersects one or both cones, the cross-section provided is then one of.
8.6 Conic Sections Types Standard Equation Forms
Conic Sections Advanced Geometry Conic Sections Lesson 2.
Conics Written by Gaurav Rao Last edited: 10/3/15.
Conic Sections An Introduction. Conic Sections - Introduction Similar images are located on page 604 of your book. You do not need to try and recreate.
Algebra Conic Section Review. Review Conic Section 1. Why is this section called conic section? 2. Review equation of each conic section A summary of.
Jeopardy CirclesParabolasEllipsesHyperbolas Mixed Conics Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.
Chapter 8: Test Your Proficiency 8-2 Parabolas 8-3 Circles 8-4 Ellipses 8-5 Hyperbolas 8-6 Identifying Conic Sections Directions: Select a section to work.
QUESTION Identify the following conic section: AB CD CircleParabola EllipseHyperbola.
What is a hyperbola? Do Now: Define the literary term hyperbole.
Circles Ellipse Parabolas Hyperbolas
Honors Precalculus: Do Now Take the following shape (called a double napped cone -it is hollow). Draw it on your paper. Now take a plane and intersect.
8.1 Classifying Conics Section 5/1/2013. Conic Is the intersection of a plane and a right circular cone. Circle Ellipse Parabola Hyperbola Definition:
An Introduction to Conics
Conics Conics Review. Graph It! Write the Equation?
Conics Review Study Hard!. Name the Conic without graphing and write it in standard form X 2 + Y 2 -4Y-12=0.
What am I?. x 2 + y 2 – 6x + 4y + 9 = 0 Circle.
Conics This presentation was written by Rebecca Hoffman.
10-5 Parabola. Parabola – “u” shape formed by quadratics. Created but all points equal distance from a focus and a given line called the directrix. Every.
Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).
Unit 5: Conics Feb. 3, What is Conics? This is the short term for conic sections. -Conic Sections include circles, parabolas, ellipses, and hyperbolas.
9.4 Solving Quadratic Systems Precalculus Precalculus HWQ 3/21/13 Find the standard form of the equation of the hyperbola with vertices ( 2,3) and.
WRITING EQUATIONS OF CONICS IN VERTEX FORM MM3G2.
Equation of a Parabola. Do Now  What is the distance formula?  How do you measure the distance from a point to a line?
Chapter 10 – Conic Sections 1) Circles 2) Parabolas 3) Ellipses 4) Hyperbolas.
10.1 Identifying the Conics. Ex 1) Graph xy = 4 Solve for y: Make a table: xy ½ ½ Doesn’t touch y -axis Doesn’t touch x -axis.
Today’s Date: 2/26/ Identifying the Conic Section.
10.0 Conic Sections. Conic Section – a curve formed by the intersection of a plane and a double cone. By changing the plane, you can create a circle,
Fri 4/22 Lesson 10 – 6 Learning Objective: To translate conics Hw: Worksheet (Graphs)
Short Subject: Conics - circles, ellipses, parabolas, and hyperbolas
Solving Quadratic Systems Distance and Midpoint Formula
Conic Sections “By Definition”
REMINDER: Test #2 – December 21st.
Eccentricity Notes.
Writing Equations of Conics
Parabolas Mystery Circles & Ellipses Hyperbolas What am I? $100 $100
7.6 Conics
Test Review.
Count the number of black dots you see in the following slide.
Homework Log Thurs 4/21 Lesson 10 – 6 Learning Objective:
Algebra 2: Conic Sections
Warmup Write the equation in standard form. State whether the graph of 3y2 – 18y – 11 = –x is a parabola, circle, ellipse, or hyperbola. A. x2 + (y – 3)2.
Conics Review.
Chapter 10 Algebra II Review JEOPARDY Jeopardy Review.
Chapter 10 Conic Sections.
L10-2 Obj: Students will be able to find equations for parabolas
Presentation transcript:

Putting things in perspective Adrian Oldknow 9 th December 2004

Where’s this bridge?

Get the point?

Been there, done that – got the photograph

Is it a circle?

Is this a circle?

It all depends where you stand

A cone-slicing machine

How to draw an ellipse?

Just need a little light to see by

Cabri II Plus knows it’s a hyperbola

Cabri 3D draws a 5 point conic

Ellipse as a locus

5-point ellipse with focus F, near point P and far point Q.

Worth it? Planets or electrons?

Geometry The RS/JMC report The curriculum - no conics anywhere! Circles at KS3, KS4, AS, A2 Locus at KS3/4 in Ma3 OK to do parabola, ellipse, hyperbola But not statutory Even though they’re all around

From the RS/JMC report Recommendation 8: We recommend that the geometry curriculum be developed to give greater emphasis to work in 3- dimensions and to make better use of Information and Communication Technology (ICT).

So perspective could be another linking theme, and bring in Art, too. Resources: ICT, models, books, videos.. Technical know-how: –Subjects – school/LEA –Cabri 3D – Adrian + developers –ICT tools – school/LEA/Adrian