ibdiploma.cambridge.orgibdiploma.cambridge.org/media/ib_mhl_11_assess_sa.docx · web...

3

Mathematics Higher Level for the IB Diploma Self-assessment: 11 Geometry of triangles and circles 1.The diagram shows a sector of a circle. The angle at the centre is 0.7 radians, and the area of the sector is 96 cm 2 . (a) Find the radius of the circle. (b) Find the perimeter of the sector. (accessible to students on the path to grade 3 or 4) [7 marks] 2.In triangle ABC, AB = 7 cm, BC = 9 cm, and = 136. (a) Calculate the perimeter of the triangle. (b) Find the size of angle . (accessible to students on the path to grade 3 or 4) [9 marks] Copyright Cambridge University Press 2013. All rights reserved. Page 1 of 3

Upload: duongphuc

Post on 14-May-2018

216 views

Category:

Documents

2 download

Report

Download

Embed Size (px):

TRANSCRIPT

Page 1: ibdiploma.cambridge.orgibdiploma.cambridge.org/media/IB_mhl_11_assess_sa.docx · Web viewSelf-assessment: 11 Geometry of triangles and circles 1. The diagram shows a sector of a circle

Mathematics Higher Level for the IB Diploma

Self-assessment: 11 Geometry of triangles and circles

1. The diagram shows a sector of a circle. The angle at the centre is 0.7 radians, and the area of the sector is 96 cm2.

(a) Find the radius of the circle.

(b) Find the perimeter of the sector.

(accessible to students on the path to grade 3 or 4) [7 marks]

2. In triangle ABC, AB = 7 cm, BC = 9 cm, and = 136.

(a) Calculate the perimeter of the triangle.

(b) Find the size of angle .

(accessible to students on the path to grade 3 or 4) [9 marks]

Copyright Cambridge University Press 2013. All rights reserved. Page 1 of 2

Page 2: ibdiploma.cambridge.orgibdiploma.cambridge.org/media/IB_mhl_11_assess_sa.docx · Web viewSelf-assessment: 11 Geometry of triangles and circles 1. The diagram shows a sector of a circle

Mathematics Higher Level for the IB Diploma

3. (a) The diagram shows a sector of a circle with radius 8 cm. The shaded region has perimeter 9.5 cm.

Find the size of the angle marked θ.

(b) In the second diagram, both circles have radius 8 cm and the angle θ has the value found above.

Find the area of the shaded region.

(accessible to students on the path to grade 5 or 6) [14 marks]

Copyright Cambridge University Press 2013. All rights reserved. Page 2 of 2

Day 78. Today’s Agenda Area Rectangles Parallelograms Triangles Trapezoids Kites/Rhombi Circles/Sectors Irregular Figures Regular Polygons

1. Definitions 2. Segments and Lines 3. Triangles 4. Polygons and Circles 5. 2D Perimeter/Area and 3D Volume/Surface Area

Three-Dimensional Figures. Vocabulary Two-dimensional figures (plane figures) – triangles, quadrilaterals, and circles. They lie in one plane

MG 2.1: PERIMETER & AREA RECTANGLES, SQUARES, TRIANGLES, CIRCLES Defining and calculating

Triangles, Circles, and Quadrilaterals. Triangles: Click herehere Circles: Click herehere Quadrilaterals: Click herehere

8.1 Notes: Area of Triangles and Circles

Circles, Triangles, and Squares a look at postmodernism and The Church The study consists of four major sections: 1) Circles (Where we were) 2)Triangles

1st Grade Units 2 & 9 Overview and Standards€¦ · Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional

Remember our Nilla Wafer? Shape Two dimensional Made by connecting lines Circles, squares, rectangles, triangles, ovals, diamonds…

Triangles can Equal Circles, it's all in hour you add them up

self-compassion.org€¦ · Web viewself-compassion.org

From Triangles to Circles and Back - Exploring Connections among Common Core Standards Facilitator: David Brown May 3, 2014

ibdiploma.cambridge.orgibdiploma.cambridge.org/media/IB_msl_10_assess_sa.docx · Web viewSelf-assessment: 10 Geometry of triangles and circles 1. The diagram shows a sector of a circle

Circle theorems Double Angle Triangles inside Circles Angles connected by a chord Tangents to a circle Cyclic Quadrilaterals

4 Triangles 129 - ncertsite.files.wordpress.com · 4 Triangles ExerciseExercise 4.14.1 Question1. Fillintheblanksusingthecorrectwordgiveninbrackets. (i)All circles are ..... .(congruent,

5 3 - r X r Circles in Triangles

Geometry Review Lines and Angles Triangles Polygons 1 Circles 3-D Geometry Similarity & Scales

chdtransport.gov.inchdtransport.gov.in/Forms/Handbook_1_Road_Signs.pdf · information. Each type has a different shape. Circles give orders, Triangles warn and Rectangles inform

From Triangles to Circles and Back - Exploring Connections among Common Core Standards

Scales Triangles/A ngles Cross Sections Circles Measurements 10 20 30 40

Parallelograms, Triangles, and Circles 6.G.1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into

Chapter 10: Right Triangles and Circles

pyGCluster Documentationpygcluster.github.io/dist/pyGCluster.pdf · (squares), correlation distance (circles) or both (triangles). The node color indicates the community membership

Unit 2 - Triangles Equilateral Trianglesbelow, including the connections to special right triangles, similar figures and circles from 10 and 11. Complete 1-12 to explore the properties

Triangles, Altitudes, and Area...Triangle, and Altitudes Berkeley Math Circles 2015 Lecture Notes Triangles, Altitudes, and Area Instructor: Natalya St. Clair *Note: This BMC session

Polygons, Circles, and Solids. Common Polygons Triangles Slide 1- 3

First hour Warm-up Review Second hour TRIANGLES Third hour CIRCLES

WORD GUIDE - Sesame Street€¦ · take your shapes to the streets! As you walk or drive, look for octagons, triangles, squares, and circles. You might find circles on the wheels

Inscribe Circles in Triangles using Geometric Construction

TRIANGLES & CIRCLES CYNTHIA LUU AND SANDIE REYES THURSDAY JUNE 13 TH 2013 902 Geometry

Right Triangles and Circles...Chapter 10 Right Triangles and Circles Use the table for Questions 1–4. 1. Compare the number of stories to the height in feet for each building. Which

First hour Review Triangles Second hour Triangles Distance Third hour Circles

Heron’s Formula, Descartes Circles, and Pythagorean ... · arXiv:math/0701624v1 [math.MG] 22 Jan 2007 Heron’s Formula, Descartes Circles, and Pythagorean Triangles Frank Bernhart

Lean Six Sigma and Project Management – triangles and ... six sigma... · Project Management – triangles and (virtuous) circles ... Six Sigma ‐ and ... Management (Interacon)

Crazy for Shapescdn-media1.teachertube.com/doc604/34414.pdfMath Shapes: Circles Math Shapes: Triangles Shape Jumble Counting Rectangles Counting Triangles Counting Circles Find the