QUALITY OF WRITTEN COMMUNICATION GEOMETRY IN MATHEMATICS Information from the Edexcel Maths Emporium.Edexcel Maths Emporium PowerPoint by T.JeffersonT.Jefferson
GEOMETRY IN MATHEMATICS By the end of these sessions students will: -Know when to use the statements, -Be able to justify explanations, -Provide coherent reasoning to solve the problems. Session 1 – Geometry rules Session 2 – Writing linked statements Session 3 – Review and improve Session 4 – Fluency of written communication
SESSION 1 Key Statements 15 minutes
COMMUNICATING MATHEMATICALLY “In questions that relate to Geometry candidates can be asked to give a reason for a calculation or proof. In many cases this is related to angles. This could also be part of a requirement for candidates to communicate in mathematical terms. If questions have an asterisk they are also linked to QWC (Quality of Written Communication) marks, again for communicating mathematically. ”
COMMUNICATING MATHEMATICALLY “In Geometry the need to communicate in mathematics terms is embodied in mathematical statements relating to geometrical properties. It is important that candidates show with clarity their understanding of the use of any geometrical property that they might use in solving problems.”
GEOMETRY RULES Jot down as many rules as you can remember, with any details. If you get stuck, your teacher will reveal some clues below. First letters only: VOAAE AOASLAUT180 AAAPAUT360 AIATAUT180 BAOAITAE AIAETAE AIAQAUT360 AAAE CAAE
GEOMETRY RULES Jot down as many rules as you can remember, with any details. If you get stuck, your teacher will reveal some clues below. First letters only: VOAAEVertically Opposite Angles Are Equal AOASLAUT180Angles On A Straight Line Add Up To 180° AAAPAUT360Angles At A Point Add Up To 360° AIATAUT180Angles In A Triangle Add Up To 180° BAOAITAEBase Angles Of An Isosceles Triangle Are Equal AIAETAEAngles In An Equilateral Triangle Are Equal AIAQAUT360Angles In A Quadrilateral Add Up To 360° AAAEAlternate Angles Are Equal CAAECorresponding Angles Are Equal
RULES IN GEOMETRY Handout to be issued and stuck into ‘Prep Power’ book. Reminder about diagrams. Lines are equal in length. Lines are parallel.
SESSION 2 Writing Linked Statements 15 minutes
WRITING LINKED STATEMENTS In the last session you discussed the geometry rules and are aware of the key statements that must be learnt (and used) in the exams. In this session there is analysis of questions requiring the use of these statements in order to solve the problems presented.
Refer back to the geometry rules. Which ones can be used? Discuss.
From the mark scheme:
Now review the following question and write down the statements that would help to solve the problem. More foundation and higher questions are available.
FOUNDATION
HIGHER
SESSION 3 Review and Improve 15 minutes
ANALYSIS Review the annotated question that you’ve been given. The markscheme is attached. What makes sense? What must be changed? Re-write the answer, to gain full marks, as if you were in the exam.
SESSION 4 Fluency of Written Communication 15 minutes
EXAM QUESTIONS In the last session you saw how to answer a geometry question using the correct statements and discussed how to answer another. For this session you will be able to answer two or three questions. In the last five minutes swap what you have written with another person. Have they used the correct statements? Is the order logical? Is the answer clear and correct? Write down any improvements that they could make.