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
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- line of symmetry
- reflection
- rotation
- symmetry
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- transformation
- translation
- two-dimensional figure
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- 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
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