Covering and Surrounding: Two Dimensional Analysis
Learning Targets
- I can find the area and perimeter of a rectangle.
- I can describe the rectangle with the least or greatest perimeter for rectangles with the same area.
- I can describe the rectangle with the least or greatest area for rectangles with the same perimeter.
- I can find the area and perimeter of a triangle.
- I can identify the base and height of a triangle.
- I can determine whether triangles with the same base and height are always congruent.
- I can find the area and perimeter of a parallelogram.
- I can determine whether parallelograms with the same area are always congruent.
- I can find the area of an irregular polygon.
- I can find the area of a polygon on a coordinate grid.
- I can draw a net of a rectangular prism.
- I can find the surface area of a rectangular prism.
- I can draw a net of a triangular prism.
- I can find the surface area of a triangular prism.
- I can find the volume of a right rectangular prism.
Video Notes Links and Additional Resources/Practice
Surface Area and Volume Introductory Webquest
Area and Perimeter of Rectangles
I can find the area and perimeter of a rectangle.
Changing Area and Perimeter
For rectangles with the same area, I can describe the rectangle with the least perimeter or greatest perimeter.
Area and Perimeter of Triangles
I can find the area and perimeter of a triangle.
Base and Height of Triangles
I can identify the base and height of a triangle.
Area and Perimeter of Parallelograms
I can find the area and perimeter of a parallelogram.
Base and Height of Parallelograms
I can determine whether parallelograms with the same area are always congruent.
Area of Irregular Polygons
I can find the area of an irregular polygon.
Polygons on a Coordinate Grid
I can find the area of a polygon on a coordinate grid.
I can draw a net of a rectangular prism.
Surface Area of Triangular Prisms
I can draw a net of a triangular prism.
I can find the volume of a right rectangular prism.
- Video tutorial #1: https://www.youtube.com/watch?v=y8c5TXVPPeg
- Play with 3D prisms: https://www.learner.org/interactives/geometry/3d_prisms.html
- Does this net form a cube?: https://illuminations.nctm.org/activity.aspx?id=3544
Area and Perimeter of Rectangles
I can find the area and perimeter of a rectangle.
- Video tutorial #1: https://www.youtube.com/watch?v=gNqmI0f16QI
- Video tutorial #2: https://www.youtube.com/watch?v=3G-PHVvTTHc
- Actually, a square is a type of rectangle! All squares are rectangles, but not all rectangles are squares.
- Always remember to write out the area formula you're using in order to show your work.
- Area and perimeter tutorial: https://www.mathplayground.com/area_perimeter.html
- Area and perimeter of rectangles word problems: https://www.khanacademy.org/math/pre-algebra/pre-algebra-measurement/prealgebra-perimeter/e/area-and-perimeter-of-rectangles-word-problems
- Laying carpet game: http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell12.swf
- Dunk tank game (squares and rectangles): http://files.pbslearningmedia.org/dlos/wnet/dlo3.html
Changing Area and Perimeter
For rectangles with the same area, I can describe the rectangle with the least perimeter or greatest perimeter.
- Video tutorial #1: https://www.youtube.com/watch?v=bsl-r7dRSnc
- Video tutorial #2: https://www.youtube.com/watch?v=8DDshXtFmmo
- Video tutorial #1: https://www.youtube.com/watch?v=lmVxsjIbJhE
- Video tutorial #2: https://www.youtube.com/watch?v=7NJmwB5zZSc
Area and Perimeter of Triangles
I can find the area and perimeter of a triangle.
- Video tutorial #1 (why the area formula works): https://www.youtube.com/watch?v=PHKaqXlki6w
- Video tutorial #2: https://www.youtube.com/watch?v=rsmxjgpoees
- Focus on making sense of the examples with whole numbers. We will study multiplying decimals later in the year!
- Video tutorial #3: https://www.youtube.com/watch?v=Lo_dJZZsAws
- Video tutorial #4: https://www.youtube.com/watch?v=4dK6DKE8Zp8
- Triangle explorer activity: http://www.shodor.org/interactivate/activities/TriangleExplorer/
- Area of triangles practice:
Base and Height of Triangles
I can identify the base and height of a triangle.
- Video tutorial #1: https://www.youtube.com/watch?v=Bh00Hes-Ba8&disable_polymer=true
- Video tutorial #2: https://www.youtube.com/watch?v=H-8ucTCFt2s
- Identification practice: https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/area-triangle/e/find-base-and-height-on-a-triangle
- Video tutorial #1: https://www.youtube.com/watch?v=zTeuVpOqx7M
- Video tutorial #2: https://www.youtube.com/watch?v=spDWrsP3i9U
- Exploring base, height, and congruence: https://www.geogebra.org/m/MK8V6Bt5
Area and Perimeter of Parallelograms
I can find the area and perimeter of a parallelogram.
- Video tutorial #1 (why the area formula works): https://www.youtube.com/watch?v=hm17lVaor0Q
- Video tutorial #2: https://www.youtube.com/watch?v=ixSEdaNJ10Q
- Video tutorial #3: https://www.youtube.com/watch?v=s8OPoot0IUg
- Video tutorial #4: https://www.youtube.com/watch?v=SKe3ItfdzTY
- Exploring why the formula works: https://www.geogebra.org/m/m8EdKBj5
- Area of parallelograms practice:
- https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/parallelogram-area/e/area_of_parallelograms
- https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/parallelogram-area/e/find-missing-side-when-given-area-of-a-parallelogram
- https://www.mathgoodies.com/lessons/vol1/area_parallelogram
Base and Height of Parallelograms
I can determine whether parallelograms with the same area are always congruent.
- Exploring congruence: https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Area-of-Parallelograms/
- Can you make two parallelograms with the same area that are congruent? Can you make two parallelograms with the same area that are NOT congruent?
Area of Irregular Polygons
I can find the area of an irregular polygon.
- Video tutorial #1: https://www.youtube.com/watch?v=vZYIQLZG-Ho
- Video tutorial #2: https://www.youtube.com/watch?v=hqqtumES-rQ
- Area of irregular shapes practice:
- Build a putting green game: http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=13
Polygons on a Coordinate Grid
I can find the area of a polygon on a coordinate grid.
- Video tutorial #1: https://www.youtube.com/watch?v=mrH5SKmdEfg
- Video tutorial #2: https://www.youtube.com/watch?v=xTcwnhyPN5E
- Video tutorial #3: https://www.youtube.com/watch?v=gkifo46--JA
- Calculating area practice:
- https://quizlet.com/72270407/flashcards
- Plotting the points on graph paper will make finding the area much easier.
- https://www.khanacademy.org/math/basic-geo/basic-geo-coord-plane/quadrilaterals-on-plane/e/area-and-perimeter-on-the-coordinate-plane
- https://quizlet.com/72270407/flashcards
I can draw a net of a rectangular prism.
- Video tutorial #1: https://www.youtube.com/watch?v=y8c5TXVPPeg
- Video tutorial #2 (cube): https://www.youtube.com/watch?v=Pp5NHsSxRcY
- Video tutorial #3 (rectangular prism): https://www.youtube.com/watch?v=xPHe2Uz8IJ4
- Play with 3D prisms: https://www.learner.org/interactives/geometry/3d_prisms.html
- Does this net form a cube?: https://illuminations.nctm.org/activity.aspx?id=3544
- Matching shapes and nets: http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.SURF&lesson=html/object_interactives/surfaceArea/use_it.html
- Video tutorial #1: https://www.youtube.com/watch?v=cgl98HQ73sM&t=94s
- Video tutorial #2: https://www.youtube.com/watch?v=RpMdKp7L55k
- Calculating surface area tutorial:
http://www.glencoe.com/sites/common_assets/mathematics/im1/concepts_in_motion/interactive_labs/M3_09/M3_09_dev_100.html - Calculating surface area practice:
- Jeopardy game: https://www.superteachertools.us/jeopardyx/jeopardy-review-game.php?gamefile=263650#.W2yK2v5KiRs
Surface Area of Triangular Prisms
I can draw a net of a triangular prism.
- Video tutorial #1: https://www.youtube.com/watch?v=2MwB0XzhqRQ
- Video tutorial #2: https://www.youtube.com/watch?v=o5DVt7SFHoo
- Unfolding a triangular prism: https://www.geogebra.org/m/Z39w5RnP
- Video tutorial #1: https://www.youtube.com/watch?v=mtMNvnm71Z0
- Video tutorial #2: https://www.youtube.com/watch?v=bX-JFntqwX0
- Calculating surface area practice:
- https://maisonetmath.com/QUIZZES/Surface-Area-Of-A-Triangular-Prism/quiz_html5.html
- https://www.tutorialspoint.com/surface_areas/surface_area_of_a_triangular_prism_online_quiz.htm
- Make sure you check your answers by clicking the "Show Answer" buttons.
- Make sure you check your answers by clicking the "Show Answer" buttons.
I can find the volume of a right rectangular prism.
- Video tutorial #1: https://www.youtube.com/watch?v=E8tuMaDxgJM
- Video tutorial #2: https://www.youtube.com/watch?v=cdsPFCMmjkw
- Video tutorial #3: https://www.youtube.com/watch?v=GEwheYZX1-s
- Exploring volume: http://illuminations.nctm.org/activity.aspx?id=4095
- Calculating volume practice using unit cubes: https://www.learner.org/interactives/geometry/area_volume.html
- Calculating volume practice using the formula:
- Minecraft volume game: http://www.xpmath.com/forums/arcade.php?do=play&gameid=118