Cathy Kangas

 (12)
United States - Michigan - Interlochen
Cathy Kangas
4.0
75 votes
I am always trying to find ways to improve my teaching of the Common Core Standards
 
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By Cathy Kangas
In this worksheet, the student is given either an equation, a table, or a graph and asked to fill in the other two representations. The student is also asked about the key features of the function once they have filled in all the
Subjects:
Math, Algebra, Algebra 2
Grades:
8th, 9th, 10th, 11th
Types:
Activities, Homework, Cooperative Learning
$1.00
7 ratings
4.0
Digital Download PDF (0.05 MB)
By Cathy Kangas
This worksheet asks students to compare the key features of linear functions that have been represented in different ways. The key features include slope and intercepts. The representations include: table, graph, equation, and situation. This is
Subjects:
Math, Algebra
Grades:
8th, 9th, 10th
Types:
Activities, Handouts, Homework
CCSS:
HSF-IF.C.9
$1.00
10 ratings
4.0
Digital Download PDF (0.05 MB)
By Cathy Kangas
This worksheet asks students to use the patterns they have learned to determine if a table can be best modeled by a linear, quadratic, or exponential function. They are also asked to write the equation that would model the table and then determine
Subjects:
Math, Algebra, Algebra 2
Grades:
8th, 9th, 10th, 11th
Types:
Activities, Handouts, Homework
$1.00
4 ratings
4.0
Digital Download PDF (0.07 MB)
By Cathy Kangas
This is a 5 station activity to be used in an Algebra 1 class. It asks students to make tables and graphs. It asks students to write equations and story problems. It asks students to use all three forms of a linear equation. It also asks the
Subjects:
Math, Algebra
Grades:
8th, 9th, 10th
Types:
Activities, Cooperative Learning
$1.00
11 ratings
3.9
Digital Download PDF (0.11 MB)
By Cathy Kangas
This worksheet asks students to identify the patterns that create exponential functions given a table. It also asks the student to write the exponential function that would model the table and then identify the equation of the asymptote and the
Subjects:
Math, Algebra, Algebra 2
Grades:
8th, 9th, 10th, 11th
Types:
Activities, Handouts, Homework
$1.00
4 ratings
4.0
Digital Download PDF (0.05 MB)
By Cathy Kangas
This worksheet allows students to graph quadratic functions that begin in factored form. I use it as a supplement to Chapter 5 of my Prentice Hall Algebra 2 book and Chapter 10 of my Prentice Hall Algebra 1 book. It also asks for key features of
Subjects:
Math, Algebra, Algebra 2
Grades:
8th, 9th, 10th, 11th
Types:
Handouts, Homework, Printables
$1.00
3 ratings
4.0
Digital Download PDF (0.06 MB)
By Cathy Kangas
This worksheet could also be used with Chapter 10 of Prentice Hall Algebra 1. This worksheet asks students to identify the key features of a quadratic found within various tables and then use the key features to write an appropriate model in
Subjects:
Math, Algebra, Algebra 2
Grades:
9th, 10th, 11th, 12th
Types:
Activities, Homework, Cooperative Learning
CCSS:
HSA-CED.A.2, HSF-IF.C.7, HSF-BF.A.1
$1.00
1 rating
4.0
Digital Download PDF (0.10 MB)
By Cathy Kangas
This activity has students work alone, with a partner and with a group. It allows students to "discover" the chain rule pattern and then apply it to prove that it works on other functions. Finally, it asks the students to apply the chain rule to
Subjects:
Math, Calculus
Grades:
12th
Types:
Activities, Handouts, Cooperative Learning
$1.00
1 rating
4.0
Digital Download PDF (0.30 MB)
By Cathy Kangas
This worksheet allows students to graph quadratic functions that begin in vertex form. I use it as a supplement to Chapter 5 of my Prentice Hall Algebra 2 book and Chapter 10 of my Prentice Hall Algebra 1 book. It also asks for key features of the
Subjects:
Math, Algebra, Algebra 2
Grades:
8th, 9th, 10th, 11th
Types:
Handouts, Homework, Printables
$1.00
4 ratings
4.0
Digital Download PDF (0.06 MB)
By Cathy Kangas
This is an investigation into extreme values. It has students think about where extreme values happen and why. It has them consider open ended functions and also ones with restricted domains. It also asks them how calculus would be used to find
Subjects:
Math, Calculus
Grades:
12th
Types:
Activities, Handouts, Cooperative Learning
$1.00
2 ratings
4.0
Digital Download PDF (0.26 MB)
By Cathy Kangas
This worksheet allows students to graph quadratic functions that begin in standard form. I use it as a supplement to Chapter 5 of my Prentice Hall Algebra 2 book and Chapter 10 of my Prentice Hall Algebra 1 book. It also asks for key features of
Subjects:
Math, Algebra, Algebra 2
Grades:
8th, 9th, 10th, 11th
Types:
Handouts, Homework, Printables
$1.00
3 ratings
4.0
Digital Download PDF (0.06 MB)
By Cathy Kangas
This activity is an "I have, who has" review game for reviewing linear functions. Topics include: All 3 forms of a linear function and translating between Key features such as: slope, intercepts, constant rate of change Function or Not Parallel and
Subjects:
Math, Algebra, Graphing
Grades:
8th, 9th, 10th
Types:
Activities, Handouts, Games
$1.00
not yet rated
Digital Download PDF (0.06 MB)
By Cathy Kangas
This activity allows students to gain an understand of the three rates of change discussed in Calculus (constant, average, and instantaneous). It also leads them to build there own equation for finding the slope of a tangent line and helps them to
Subjects:
Math, Calculus
Grades:
11th, 12th
Types:
Activities, Handouts, Cooperative Learning
$1.00
1 rating
4.0
Digital Download PDF (0.12 MB)
By Cathy Kangas
This is a template to be used to help students understand the process of solving optimization problems. I used it with my students and got the best results I have ever gotten with this topic.
Subjects:
Math, Calculus
Grades:
12th
Types:
Activities, Handouts, Cooperative Learning
$1.00
1 rating
4.0
Digital Download PDF (0.18 MB)
By Cathy Kangas
This worksheet allows students to represent functions in multiple ways and to translate between the different forms (table, graph, equation, words). This packet includes: Blank worksheet that can be used for any math function Worksheet created for
Subjects:
Algebra, PreCalculus, Algebra 2
Grades:
8th, 9th, 10th, 11th, 12th
Types:
Worksheets, Activities, Handouts
CCSS:
HSA-CED.A.1, HSF-IF.C.7, HSF-IF.C.9, HSF-LE.A.2
$1.00
3 ratings
4.0
Digital Download PDF (0.16 MB)
By Cathy Kangas
This is a daily learning target and bellwork problem to start your class each day. It is directly aligned to the unit outlines for the class. This bundled file includes all 6 units and follows the pacing of the unit outlines. Bellwork includes:
Subjects:
Math, Calculus
Grades:
12th
Types:
Activities, Outlines
$12.00
$10.00
1 rating
4.0
Digital Download ZIP (0.76 MB)
By Cathy Kangas
This project is meant for a group. There are 10 patio patterns to choose from. You could ask each group to do the same patio pattern or each group to do a different patio pattern. Each group is asked to continue the pattern by drawing two more
Subjects:
Math, Algebra
Grades:
8th, 9th, 10th
Types:
Activities, Handouts, Cooperative Learning
$2.00
2 ratings
4.0
Digital Download PDF (0.53 MB)
By Cathy Kangas
This activity asks students to work in groups to graph a function and it's first and second derivative. It then asks them questions about making connections between what they know about calculus and what they see in the graphs. It is a good chance
Subjects:
Math, Calculus
Grades:
12th
Types:
Activities, Handouts, Cooperative Learning
$1.00
2 ratings
4.0
Digital Download PDF (0.23 MB)
By Cathy Kangas
This is an” I have, who has” game to help remember the unit circle. It includes the following concepts:  1. Radian and degree measures 2. Sine, cosine, tangent, cosecant, secant, and cotangent 3. Inverse trigonometric functions The game includes
Subjects:
PreCalculus, Trigonometry, Algebra 2
Grades:
10th, 11th, 12th
Types:
Activities, Flash Cards, Games
$1.00
2 ratings
4.0
Digital Download PDF (0.31 MB)
By Cathy Kangas
This project in meant to allow students to use their prior knowledge of functions and relations to investigate conic sections BEFORE the unit begins. Included in this packet: Instructions on how to do the project with the students. Hand out to
Subjects:
Math, PreCalculus, Algebra 2
Grades:
10th, 11th, 12th
Types:
Projects, Activities, Cooperative Learning
$1.00
not yet rated
Digital Download PDF (0.06 MB)
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TEACHING EXPERIENCE

I have taught in a middle school/high school setting for twenty years. I have taught everything from 7th grade math to Calculus. I have also been a part of many regional projects through our Intermediate School District. I am currently beginning my third year of teaching AP Calculus AB and am looking forward to another successful year.

MY TEACHING STYLE

I really enjoy letting the students investigate and explore as much as possible so that they can make their own connections.

HONORS/AWARDS/SHINING TEACHER MOMENT

Teacher of the Year, TBAISD

MY OWN EDUCATIONAL HISTORY

Albion College

ADDITIONAL BIOGRAPHICAL INFORMATION

My school was named an AP Honor Roll school last year.

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