The line l passes through the point a and is perpendicular to the line ab, as shown in figure 1. Sketch the following quadratic functions, clearly indicating the points of any intersections with the axes and the locations of any minimummaximum points. Before looking at coordinate geometry, you will have to know what coordinates are. Figure 2 the points q 1, 3 and r 7, 0 lie on the line l1, as shown in figure 2. C1 coordinate geometry straight lines mathsmadeeasy. Tailored to each of the aqa, edexcel, ocr, mei, wjec.
Feb 11, 2012 mei has kindly shared the following resources to support the use of ict in aas level maths. Edexcel core 1 coordinate geometry 1 of 2 1601 mei section 1. Providing study notes, tips, and practice questions for students preparing for their o level or upper secondary examinations. Core 1 coordinate geometry 1 introduction to straight. The ebook is the sixth of seven parts entitled pure maths. C1 coordinates geometry show 10 more c1 maths exam questions help mei as resits not covered in a2 maths c1 is c4 a lot harder than c3. In fact, coordinate geometry has been developed as an algebraic tool for studying geometry of figures. Coordinates before looking at coordinate geometry, you will have to know what coordinates are. C1 tutorials stuart the examsolutions guy 20180309t20.
Edexcel c1 coordinate geometry 1 exercise solns 7 of 8 1601 mei ii ab is the line y x y x 3 11 11 3 so the gradient of ab is 3. Core mathematics c1 advanced subsidiary coordinate. Mei scheme of work with teaching commentary and resources ocr. However, there are some facts that will help you spot right angles in relation to a circle. The very latest a level papers can only be accessed from the ocr interchange or through teacher access to each unit within the integral mathematics resources. Cie a level maths pure 1 topic questions past papers. The question paper will be found inside the printed answer book. These are practical activities that look at how we can use geogebra to enhance the study of coordinate geometry, predominantly at as level. Core 1 mei, 2004 chapter assessment coordinate geometry 1. Complete a right angle triangle and use pythagoras theorem to work out the length of the line.
Coordinate geometry circles maths tuition for 1118. Legacy asalevel past examination papers past examination papers. It helps us to study geometry using algebra, and understand algebra with the help of geometry. Circle properties you should know examsolutions youtube video. Download this 26 page free ebook pure maths part six coordinate geometry. Coordinate geometry, linear geometry 0 comments coordinate geometry go to the coordinate geometry forum to see more questions or ask your own topics covered in coordinate geometry distance gradient midpoint point gradient formula two point formula combined questions parallel. The coordinates of a point on the xaxis are of the form. Questions separated by topic from core 2 maths alevel past papers. Find the coordinates of the midpoint of the line joining 1, 2 and 3, 1. Coordinate geometry the best o level revision resource. C1 coordinate geometry curves answers mei, ocr, aqa, edexcel 1. I will explain to you all you need to know about coordinate geometry to pass your igcse gcse maths exam. Mathematics revision guides coordinate geometry straight lines page 2 of 27 author.
You can solve equations set for you at various difficulty levels. To start off with, let us consider one of the simplest geometric problems. Mei resources legacy asalevel past examination papers. Accessible from school or college and home at any time. Home exam strategy past papers solutions csec topics mathematics sba post a question coordinate geometry. These are ideal for use in a computer room or for students to investigate at home. The midpoint of the line joining the points x 1, y 1 and x 2, y 2 is. A complete workbook and series of powerpoint lessons for the coordinate geometry topic which forms part of aqa core 1 mathematics as level. You will understand how to construct equations of tangents and normal lines, i will explain what the gradient of a line is, how to find the length of a line segment and much more. Checkin tests, delivery guides etc for legacy resources, see my c1 c2 page and c3c4 page. Here are core 1 questions from past maths alevel papers separated by topic. Innovative resources are continually being developed to extend.
The distance of a point from the yaxis is called its xcoordinate, or abscissa. C1 coordinate geometry straight lines mei, ocr, aqa, edexcel 1. However, they should not be taken as an indication of the style or content of any modules on the current specification. So check all of the links below during your maths revision. Find the equation of the line parallel to this which passes through the point 2, 10. Mathematics revision guides coordinate geometry circles page 1 of 15 author. This page lists recommended resources for teaching pure mathematics in year 12 based on the 2017 a level specification, categorised by topic. Alevel mathematicsocrc1coordinate geometry and graphs.
Mathematics revision guides coordinate geometry circles page 2 of 15 author. If two lines are perpendicular, then the product of the gradients of the two lines is 1 or. Aqa core 1 coordinate geometry workbook and powerpoints. Mathematics in education and industry mei we support teachers through a range of professional development opportunities, including our annual conference. Core mathematics c1 advanced subsidiary coordinate geometry. Maths revision video and notes on the topic of finding the gradient, midpoint, equation and length of straight line graphs. The distance of a point from the xaxis is called its ycoordinate, or ordinate. C1 a level maths coordinate geometry curve questions aqa, ocr, edexcel, mei author. The perpendicular from the centre of a circle to a chord bisects the chord. Coordinate geometry is a method of analysing geometric shapes. The position of points will usually be referred to in one of these three ways. Mei has kindly shared the following resources to support the use of ict in aas level maths.
A level maths worksheets, videos, lessons, examples. New 91 gcse maths foundation and higher, new a level maths home buy gcse bookvideos gcse revision grade 9 1 week gcse a level gcse worksheets. Wednesday 17 may 2017 morning as gce mathematics mei 475101 introduction to advanced mathematics c1 printed answer book instructions to candidates these instructions are the same on the printed answer book and the question paper. X is the value on the x horizontal axis and y is the value on the y vertical axis. Because of this, coordinate geometry is widely applied in various fields such as physics, engineering, navigation, seismology and art. In every case the emphasis is not only on finding the solution but on finding the best steps to get you there. A level maths, core, c1, revision, worksheets, free, resources, maths, new specification, coordinate geometry created date. A level mathematics c1 coordinate geometry straight lines answers name. If two lines are parallel, then they have the same gradient. You can find notes and exam questions for additional math, elementary math, physics, biology and chemistry. He invented cartesian coordinates in the 17th century, which revolutionized mathematics by providing the first link between euclidean geometry and algebra. Mei coordinate geometry geogebra teaching resources.
Sketch the following quadratic functions, clearly indicating the points of any intersections with the axes. Mathematics in education and industry mei mei is committed to improving mathematics education and promotes teaching and learning through different strands of activity. C1 coordinate geometry straight lines answers mei, ocr, aqa, edexcel 1. It is advisable to check the official c1 edexcel specification in case of changes. Aqa, edexcel, ocr, mei a level mathematics c1 coordinate geometry curves answers name. Equation buster is a suite of activities designed by mathsnet. C1 edexcel core maths video tutorials examsolutions. Coordinate geometry as c1 understand and use the equation of a straight line, including the forms 11 y y m x x 0 and ax by c. Suitable for use with all asa level maths andor further maths students.
In coordinate geometry, the coordinates are written in the format x,y. Coordinate geometry formulae, gradient, midpoint, length of a line, finding the. Jul 04, 2016 a complete workbook and series of powerpoint lessons for the coordinate geometry topic which forms part of aqa core 1 mathematics as level. The table on the right is a very simplified version of a coordinate grid.
Curves and circles notes and examples these notes and examples contain subsections on the equation of a circle finding the equation of a circle circle geometry the intersection of a line and a curve the intersection of two curves the equation of a circle. Huge thanks to all individuals and organisations who share teaching resources. For misreading 0, 3 for 3, 0 award b0 and then m1a1 as in scheme. Learn all you need about coordinate geometry to pass your as maths exams. Online help for cxc csec mathematics, past papers, worksheets, tutorials and solutions csec math tutor. As maths c1 coordinate geometry past paper questions rene descartes was a french philosopher, mathematician and scientist. The illustration shows the graphs of fifteen functions. Coordinate geometry as mathematics in education and. As maths c1 coordinate geometry past paper questions. Tips and notes for english, general paper, and composition writing are also provided. Coordinate geometry formulae, gradient, midpoint, length of a line, finding the equation of a line and intersecting lines.
Find the coordinates of the points of intersection of l with the axes. Must have one of the other two m marks to score this. Here are core 2 questions from past maths alevel papers separated by topic. Designed to develop deep mathematical understanding and all the skills students need for their asa level studies and beyond. He is also famous for his quote i think, therefore i am. Concepts that you will need to know for the alevel maths. We support teachers through a range of professional development opportunities, including our annual conference.
Coordinate geometry section 1 mr stevensons maths class. Innovative resources are continually being developed to extend and enrich your knowledge of mathematics, whether teacher, student, undergraduate or member of the workforce. The gradient of a line and its y intercept are the two pieces of information that distinguish one line from another line. Worked solutions for some alevel maths past year examinations. Mei core 1 coordinate geometry questions jan 05 may 09. Figure 1 the points a and b have coordinates 6, 7 and 8, 2 respectively. Ocr not mei core 4 answers 18th june 2014 show 10 more circle questions core 1 core pure 1further maths vectors question how does maths work. When presented with a problem, it may appear at first that there is not enough information given to you. Free ebook coordinate geometry,pure maths part six from. Circle properties in this video i show you some of the common geometrical properties that you will need to be aware of when doing coordinate geometry for circles. Oxford cambridge and rsa wednesday 17 may 2017 morning.
Coordinate geometry straight lines maths tuition for. Coordinate geometry can answer these questions and our understanding therefore of this important mathematical concept, plays a central role in modern society. Coordinate geometry it contains videos lectures on straight line, pair of straight lines, circle, parabola, ellipse, hyperbola all lectures are based on the theory, first explain concept then take examples for to make concept understandable. Alevel mathematicsmeic1coordinate geometry wikibooks. The post is very helpful for the upcoming ssc exams.
1204 1466 1227 209 39 391 456 1149 157 470 1564 748 670 104 482 510 1031 713 930 1383 785 540 657 950 1242 581 1496 1186 924 444 874 611 584 351 485 1269 374 493 1150 1419 194 1460