MCR3U Culminating Activity Function Art
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MCR3U Culminating Activity Function Art
Objective:
MCR3U Culminating Activity Function Art
The purpose of this project is for you to draw a picture that incorporates many of the function families that you have studied in this course, as well as your knowledge of transformations. You will create equations that, when graphed, will create the picture you have proposed. Here is a list of the Function Families that you can use:
|
Type |
Parent Function |
|
Linear : This includes sloped lines (y = mx + b), horizontal lines (y = b) and vertical lines (x = c) |
?=? |
|
Square Root |
? = √? |
|
Quadratic |
? = ?? |
|
Reciprocal |
?=1 ? |
|
Exponential where b>0, and b≠1 |
? = ?? |
|
Sinusodial |
? = ???? or ? = ???? |
|
Extra: Cubic |
? = ?? |
|
Extra: Absolute Value |
? = |?| |
Pls mention clearly if you use any function or relation that is not listed above. For example, circle, ellipse etc. You may use them too.
MCR3U Culminating Activity Function Art
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Task:
By hand or using desmos.com, create a picture of anything you like. You may get some inspiration from https://www.desmos.com/ or the exemplars posted on Edmodo but will create your own artwork and idea. Exemplars (a puppy & a shark ) are posted on Edmodo for you.
Your picture must meet the following criteria:
o A minimum of 6 types of functions (equations) must be used.
o 4 of the 6 types of functions must be used (from the chart above).
o Must include each of the following transformations at least once: Vertical Stretch or
Compression, Horizontal Stretch or Compression, Reflection in the x-axis or y-axis, Vertical
Translation, Horizontal Translation.
o It must be a 2D picture of something recognizable (not just an abstract art).
o For each equation, describe the transformation (in words) and state the parameters (a,b,h and
k) that were used. Also state the Domain and Range that is used for each function/relation.
MCR3U Culminating Activity Function Art
You will hand in:
- The graph picture, with each equation used to generate the picture stated in function notation. Use a legend to show the equation and line.
- The write up for each equation that you used, their domain and range, and a description of the transformations used.
- You will hand them in to our class Edmodo on or before Friday Monday November 1, 2020 9 AM.
- Link that opens your work using Desmos app or website.
- Do not forget to add the title page stating the following & do not put anything else on it:
o o o o o o o
Note: Create an account on Desmos and save all your work there always.
The rubric you will be marked with is on the next page. Take a look at it to help you get top marks.
Student’s Full Name:
Course: MCR3U Period-1 (or 2)
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Culminating Activity:
Title of the Art Work:
Date, Time (when the work is submitted):
Total approximate hours given to complete CA work:
MCR3U Culminating Activity Function Art
|
MCR3U FUNCTION ART RUBRIC |
|||||
|
CRITERIA |
Level R 012345 |
Level 1 67 |
Level 2 8 |
Level 3 9 |
Level 4 10 11 12 |
|
Knowledge and Understanding /12 |
-demonstrates no to negligible knowledge and understanding of mathematical concepts |
-demonstrate limited knowledge and understanding of mathematical concepts |
-demonstrate some knowledge and understanding of mathematical concepts |
-demonstrates considerable knowledge and understanding of mathematical concepts |
-demonstrates thorough knowledge and understanding of mathematical concepts |
|
Thinking /12 |
-no evidence of planning -function missing and/or does not make an recognizable image -demonstrate no to negligible mathematical skills |
-plans with limited effectiveness -function does not display a image with any accuracy -demonstrates limited mathematical skills |
-plans effectiveness -function depicts image with some accuracy -demonstrates mathematical skills with some effectiveness |
-plans with considerable effectiveness -function depicts image with good accuracy -demonstrates mathematical skills with considerable effectiveness |
-plans with a high degree of effectiveness -function depicts image with excellent accuracy -demonstrates mathematical skills with a high degree of effectiveness |
|
CRITERIA |
Level R 01234 |
Level 1 5 |
Level 2 6 |
Level 3 7 |
Level 4 89 |
|
Application /9 |
-demonstrates no or negligible knowledge and skills, and makes no connections of the various mathematical concepts relating functions -no usage/evidence of transformations and key features to sketch the graph of the function |
-applies knowledge and skills, and makes connections with various mathematical concepts relating to functions with limited effectiveness -transformations and key features are used with limited effectiveness to sketch the graph of the function |
-applies knowledge and skills, and makes connections with various mathematical concepts relating to functions with some effectiveness -uses transformations and key features with some effectiveness to sketch the graph of the function |
-applies knowledge and skills, and makes connections with various mathematical concepts relating to functions with considerable effectiveness -uses transformations and key features with effectiveness to sketch the graph of the function |
-applies knowledge and skills, and makes connections with various mathematical concepts relating to functions with a high degree of effectiveness -uses transformations and key features with a high degree of effectiveness to sketch the graph of the function |
|
Communication /9 |
-function lacking comprehension -no use or lacks proper use of mathematical notations, terminology and conventions |
-function unclear and hard to understand -uses mathematical notations, terminology and conventions with limited effectiveness |
-function -uses mathematical notations, terminology and conventions with some effectiveness |
-function somewhat clear and understandable -uses mathematical notations, terminology and conventions with considerable effectiveness |
-function clear and understandable -uses mathematical notations, terminology and conventions with a high degree of effectiveness |
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