| 
  • If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

View
 

Geometry Unit 8

Page history last edited by Bradley Grant 6 years, 1 month ago

Day 1  Points,  Lines, Line segments, Rays

Create a vocabulary page in your Math Book for the following

 

practice with a line and ray etc  http://www.mathopenref.com/line.html 


Day 2  Parallel lines,  Perpendicular line,  Intersecting lines

 

Each vertex represents a point of intersection, where two lines cross.  The plural for vertex is vertices.

There are 2 sets of parallel lines in fig B.  There are also several perpendicular lines in fig B as well.


Day 3 Right angles, acute angles, and obtuse angles

 

 

Using a Protractor

http://www.mathplayground.com/measuringangles.html

 

http://www.mathplayground.com/alienangles.html

 

 

 

 

http://www.mathsisfun.com/geometry/index.html


Day 4 

 

The tangram (Chinese: 七巧板; pinyin: qī qiǎo bǎn; literally "seven boards of skill") is a dissection puzzle consisting of seven flat shapes, called tans, which are put together to form shapes. The objective of the puzzle is to form a specific shape (given only an outline or silhouette) using all seven pieces, which may not overlap. It was originally invented in China at some unknown point in history, and then carried over to Europe by trading ships in the early 19th century. It became very popular in Europe for a time then, and then again during World War I. It is one of the most popular dissection puzzles in the world.

 

 

Number your paper 1-23 and label each angle as obtuse, acute, or right.

http://www.puzzlechoice.com/pc/Tangramx.html  Try this online tangram game!

http://www.gieson.com/Library/projects/games/matter/ Here is another one.

 

Try to Google some tangram puzzles to solve. Here are a few I found:

 


Links

http://www.internet4classrooms.com/skill_builders/geometry_math_fourth_4th_grade.htm   Games

http://illuminations.nctm.org/ActivityDetail.aspx?ID=70  Watch a solid unfold into a net!

http://www.korthalsaltes.com/  polyhedra paper models

http://www.math-salamanders.com/3d-geometric-shapes.html   nets with tabs

 

http://nlvm.usu.edu/en/nav/category_g_2_t_3.html  manipulatives

 

================================ LESSON 2 =============================

Polygons and number of sides

Create a Polygon Name Chart 

 

More Polygon Information

 

https://www.mathsisfun.com/quadrilaterals.html 

 

Quadrilateral Descriptions. Explain the correct vocabulary for each figure as a “parallelogram,” “rectangle,” “rhombus,” and “square.”  “irregular quadrilateral

 

  • What characteristics do you look at when comparing quadrilaterals? Answers may vary. The lengths of the sides, angles, and if the sides are parallel or not; etc.
  • Is it possible for a quadrilateral to have a right angle and an obtuse angle? How do you know? (Yes; a trapezoid can have both a right angle and an obtuse angle.)
  • Is a trapezoid a parallelogram? Explain. (No; because a trapezoid has only 1 set of parallel lines and a parallelogram has 2 sets of parallel lines.)
  • Is it possible for a quadrilateral to have no pairs of parallel sides? Explain (yes) Answers may vary.


 

=============================== LESSON 3 =================================================

Two-dimensional figures vs Three-dimensional figures

 

 

http://www.worksheetworks.com/math/geometry/polyhedra.html 

 

vertices, edges, and faces


Geometric Definitions—Notes

 

Angle: two rays that meet at a common endpoint

Acute angle: an angle with a measure less than a right angle

Circle: the set of all points that lie the same distance from the center and lie in the same plane

Cone: three-dimensional figure having 1 circular base, and 1 curved surface

Congruent: same size, same shape

Cube: three-dimensional figure with 6 square faces, 12 edges, and 8 vertices

Cylinder: three-dimensional figure having two congruent circular bases that are parallel and 1 curved surface

Edge: a line segment where two faces meet on a solid

Face: the flat surface of a three-dimensional figure

Hexagon: a polygon with 6 sides, 6 angles, and 6 vertices

Irregular Quadrilateral: a four-sided figure with no congruent sides and no pair of parallel sides

Line: a set of points that form a straight path that goes in opposite directions without ending

Line segment: part of a line between two endpoints

Obtuse angle: an angle whose measure is greater than a right angle but less than a straight line

Octagon: a polygon with 8 sides, 8 angles, and 8 vertices

Parallel lines: lines that lie in the same plane, never intersect, and are the same distance apart

Parallelogram: four-sided (quadrilateral) polygon with opposite sides parallel and opposite sides congruent

Perpendicular lines: lines that intersect at right angles to each other

Pentagon: a polygon with 5 sides, 5 angles, and 5 vertices

Plane: a flat surface that goes on forever in all directions

Point: an exact location in space, represented by a dot.

Polygon: a closed two-dimensional figure with straight sides

Prism: three-dimensional figure with two congruent, parallel faces (bases) with sides that are polygon faces

Quadrilateral: any four-sided polygon

Ray: part of a line that has one endpoint and continues without end in one direction

Rectangle: four-sided polygon (quadrilateral) with 4 right angles, adjacent sides perpendicular, opposite sides congruent, and opposite sides parallel

Rectangular prism: three-dimensional figure with 6 rectangular faces, 12 edges, and 8 vertices

Right angle: an angle that can be compared to a square corner; lines that are at a right angle are perpendicular to each other

Rhombus: four-sided polygon (quadrilateral) having all four sides congruent and opposite sides parallel

Sphere: three-dimensional figure having all of its points the same distance from its center

Square: four-sided polygon (quadrilateral) with all sides congruent, opposite sides parallel, 4 right angles, and adjacent sides perpendicular

Square pyramid: three-dimensional figure with 5 faces (1 square face (base), 4 triangular faces), 8 edges, and 5 vertices

Trapezoid: four-sided polygon (quadrilateral) with exactly one pair of parallel sides

Triangle: a polygon with 3 sides, 3 angles, and 3 vertices

Two-dimensional figure: a figure that has two basic units of measurement (usually length and width)

Three-dimensional figure or solid: a figure that has measurements including length, width (depth), and height

Triangular prism: three-dimensional figure with 5 faces (2 triangular faces (bases), 3 rectangular faces), 6 vertices, and 9 edges

Triangular pyramid: three-dimensional figure with 4 triangular faces (1 triangular face (base), 3 other triangular faces), 6 edges, and 4 vertices

Vertex (plural – vertices): a point where two sides of a polygon intersect; the point of intersection of three of more edges of a solid figure


LESSON 3

http://www.sciencekids.co.nz/gamesactivities/math/transformation.html  transformation game

 

Vocabulary of Instruction:

  • attribute
  • congruency
  • congruent
  • line of reflection
  • line of symmetry
  • reflection
  • rotation
  • symmetry
  • transformation
  • translation
  • two-dimensional figure

 

  • Is it possible for the original and its rotation to look exactly alike? Explain. (yes) Answers may vary. When an object makes one complete rotation, it will end-up in the same place from which it started; etc.

 


Lines of Symmetry

 

symmetry-games

http://snowflakes.barkleyus.com/   make a snow flake

 

Symmetry
www.bbc.co.uk/schools/gcsebitesize/maths/shapes/symmetryact.shtml


Area and Perimeter
www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html
www.eduplace.com/cgi-bin/schtemplate.cgi?template=/kids/hmtxm/help/emb_eh_popup.thtml&grade=4&gradef=4&chapter=21&lesson=1&™=tmfe2101e

PACE - Area of Triangle
www.shodor.org/interactivate/activities/TriangleExplorer/
www.ixl.com/math/grade-5/area-of-triangles (quiz yourself)

PACE - Area of Parallelogram
www.ixl.com/math/grade-5/area-of-parallelograms-and-trapezoids

 

 


3D FIGURES - Extension Project

Print and make a 3d sculpture using any combination of these nets.  Yes, you may print multiples of the same kind.

 

 


USING A PROTRACTOR

http://studyjams.scholastic.com/studyjams/jams/math/geometry/construct-angles.htm

 

https://www.mathsisfun.com/geometry/protractor-using.html online protractor measurement practice

 

http://www.abcya.com/measuring_angles.htm  more protractor practice :)


Graph Sheet Maker  http://www.worksheetworks.com/miscellanea/graph-paper.html 

 

Comments (0)

You don't have permission to comment on this page.