1 / 5

Geometry Fundamentals and Calculation Examples for Year 10 Term 1

Explore key concepts and examples on perimeter, circumference, area of circles, volume, surface areas of cylinders, reflection, rotation, translation, and enlargement in Year 10 Term 1 foundation mathematics unit.

gupham
Download Presentation

Geometry Fundamentals and Calculation Examples for Year 10 Term 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Year 10 Term 1 Foundation (Unit 17) PERIMETER AND CIRCUMFERENCE Key Concepts Examples Calculate: Parts of a circle a) Circumference c) Perimeter d) Arc length C = = or = 12.57cm Circumference of a circle is calculated by and is the distance around the circle. Arc 28o 40o 4cm Arc 8cm 10cm 6cm b) Diameter when the circumference is 20cm Arc Arc length of a sector is calculated by Arc Or = 4.89cm C = 20 = Or Or = 15.42cm Key Words Circle Perimeter Circumference Radius Diameter Pi Arc Calculate: The circumference of a circle with a diameter of 12cm The diameter of a circle with a circumference of 30cm The perimeter of a semicircle with diameter 15cm The arc length of the diagram 534, 535, 537, 538, 541, 544-545 ANSWERS: 1) or 37.7cm 2) or 9.54cm 3) 38.56cm 4) or 5.59cm

  2. Year 10 Term 1 Foundation (Unit 17) AREA OF CIRCLES AND PART CIRCLES Key Concepts Examples Calculate: a) Area The area of a circle is calculated by c) Area d) Area of a sector A = = or = 28.3cm2 Arc 28o 40o 3cm The area of a sector is calculated by Arc 12cm 8cm 10cm b) Radius when the area is 20cm2 Arc Or Arc Or = 24.43cm A = 20 = Or = 56.55cm2 Key Words Circle Area Radius Diameter Pi Sector Calculate: The area of a circle with a radius of 9cm The radius of a circle with an area of 45cm2 The area of a semicircle with diameter of 16cm The area of the sector in the diagram 539, 540, 542-543, 546-547 ANSWERS: 1) or 254.47cm2 2) or 3.78cm2 3) or 100.53cm 4) or 22.34cm

  3. Year 10 Term 1 Foundation (Unit 17) VOLUME AND SURFACE AREAS OF CYLINDERS Key Concepts Examples From the diagram calculate: A cylinder is a prism with the cross section of a circle. b) SurfaceArea – You can use the net of the shape to help you 4cm 7cm 4cm r 15cm 10cm d a) Volume h 10cm The volume of a cylinder is calculated by and is the space inside the 3D shape or The surface area of a cylinder is calculated by and is the total of the areas of all the faces on the shape. Or Key Words Cylinder Surface Area Radius Diameter Pi Volume Prism Calculate the volume and surface area of this cylinder 572, 586 ANSWERS: Volume = or 2309.07cm3 Surface area = or 967.61cm3

  4. Year 10 Term 1 Foundation (Unit 10) REFLECTION AND ROTATION Examples Key Concepts A reflection creates a mirror image of a shape on a coordinate graph. The mirror line is given by an equation eg. The shape does not change in size. Rotate shape B from the point (-1, -2) (-1,-2), clockwise, 90o. Label it C. Reflect shape A in the line . Label it B. Reflect shape A in the line Label it B. A rotation turns a shape on a coordinate grid from a given point. The shape does not change size but does change orientation. B B C x Clockwise Anticlockwise Key Words Rotate Clockwise Anticlockwise Centre Degrees Reflect Mirror image Describe the single transformation you see on each coordinate grid from A to B: 639-641, 652, 653,654,648,649 ANSWERS: a) reflection, b) reflection c) rotation, centre (0,0), 90o anticlockwise d) rotation, centre (0,0), 180o

  5. Year 10 Term 1 Foundation (Unit 10) TRANSLATION AND ENLARGEMENT Examples Key Concepts A translation moves a shape on a coordinate grid. Vectors are used to instruct the movement: Translate shape A by . Label it B Enlarge shape A by scale factor 2 from point P. Enlarge shape A by scale factor from point P. Positive-Right Negative - Left Positive-Up Negative - Down B B A An enlargement changes the size of an image using a scale factor from a given point. A B Key Words Translation Enlargement Scale factor Centre Positive Negative Describe the single transformation you see on each coordinate gridfrom A to B: 637,638,650, 642-645, 651 ANSWERS: a) translation b) translation c) enlarge, centre (-4,2) scale factor 2 d) enlarge, centre (1,-2) scale factor

More Related