I make math resources for the upper grades. I have experience teaching Mathematics: applications and interpretation SL,HL; Mathematics: analysis and approaches SL; AP Calculus AB/BC, AP Statistics; Trigonometry, Calculus, and College Algebra.
I make math resources for the upper grades. I have experience teaching Mathematics: applications and interpretation SL,HL; Mathematics: analysis and approaches SL; AP Calculus AB/BC, AP Statistics; Trigonometry, Calculus, and College Algebra.
This coloring activity provides you with practice performing various vector operations such as: finding the component form, standard unit vector form, magnitude, angle between two vectors, dot product, adding vectors, subtracting vectors, and multiplying by a scalar.
Why should I include coloring activities in my classroom? Research has shown that coloring can reduce math anxiety, increases creativity, increases memory, increases mindfulness and attention, and increases student enjoyment and engagement in class.
Included in this resource:
✔ Vector Operations Coloring Activity 1 (4 pages)
✔ Vector Operations Coloring Activity 2 ( 4 pages)
✔ Answer keys Included (8 pages)
Students use the description cards to find the equation of linear functions and match the linear equation with its graph. This matching activity includes 18 equation sets. Each set includes one equation card, one description card, and one graph card. The equations are written in both slope-intercept and standard form. Using the description cards student will practice finding the equation of a line given two points, slope and a point, slope and y-intercept, equation of a parallel line and a point, or the equation of perpendicular line and a point.
Included in this resource:
✔ 18 linear equation cards
✔ 18 description of relationship cards
✔ 18 linear graph cards
✔ Student answer form
✔ Answer key
This Trigonometric Functions Unit 1 Bundle includes guided notes, google slideshow presentations, practice activities, check point quizzes, and two versions of a unit test that cover the following information:
Convert between Radians, Degrees, and DMS
Sketch angles in standard position
Finding reference angles
Identify positive and negative coterminal angles
The Unit Circle
Finding the six trigonometric functions of any angle
Concepts of even and odd trigonometric functions
Cofunction Identities
Right triangle trigonometry
Finding sides and angles of right triangles
This unit of study is divided into five sections:
Converting between Radians, Degrees, and DMS
Coterminal and Reference Angles
Unit Circle Trigonometry
Trigonometric Functions of any Angle
Right Triangle Trigonometry
For each of the sections of study I have provided everything you will need to teach your students about trigonometric functions. This includes:
Guided Notes: Guided notes are printable notes that help students organize lecture content and actively respond to material presented in class. A Google Slides presentation is included that you can click through while teaching the lesson.
Practice Activities: This activity can be used as classwork assignment, homework assignment, or re-teaching activity.
Check Point Activities: Check Point Activities can be used in multiple ways depending on the needs of your students. Most of the time I will use them as either exit tickets – to assess my students learning at the end of the lesson, warm-ups – to evaluate students learning at the beginning of the next lesson, or topic quizzes – to obtain a formal assessment of students understanding of the lesson.
Included in this Bundle
Section 1.1: Converting between Radians, Degrees, and DMS
✔ Google Slides (95 slides)
✔ Student’s Guided Notes (3 pages)
✔ Teacher’s Guided Notes Answer Key (3 pages)
✔ Angle Conversion Practice 1 (1 page - degrees to radians)
✔ Angle Conversion Practice 2 (1 page - radians to degrees)
✔ Angle Conversion Practice 3 (1 page - decimal degrees to DMS)
✔ Angle Conversion Practice 4 (1 page - DMS to decimal degrees)
✔ Angle Conversion Practice Answer Keys (4 pages)
✔ Converting between Radians, Degrees, and DMS Check Point 1 (1 page)
✔ Converting between Radians, Degrees, and DMS Check Point 2 (1 page)
✔ Converting between Radians, Degrees, and DMS Check Point Answer Keys (2 pages)
Section 1.2: Coterminal and Reference Angle
✔ Student’s Guided Notes (3 pages)
✔ Teacher’s Guided Notes Answer Key (3 pages)
✔ Coterminal and Reference Angle Practice Activity 1 (2 pages - Degrees)
✔ Coterminal and Reference Angle Practice Activity 2 (2 pages - Radians)
✔ Coterminal and Reference Angle Practice Activity 3 (2 pages - Degrees and Radians)
✔ Practice Activity Answer Keys Included (6 pages)
✔ Coterminal and Reference Angle Check Point 1 (1 page - Degrees)
✔ Coterminal and Reference Angle Check Point 2 (1 page - Radians)
✔ Coterminal and Reference Angle Check Point 3 (1 page - Degrees and Radians)
✔ Check Point Answer Keys Included (3 pages)
Section 1.3: Unit Circle
✔ Google Slides (194 slides)
✔ Student’s Guided Notes (4 pages)
✔ Teacher’s Guided Notes Answer Key (4 pages)
✔ Unit Circle Practice 1 (1 page)
✔ Unit Circle Practice 2 (1 page)
✔ Unit Circle Practice Answer Keys (2 pages)
✔ Unit Circle Check Point 1 (2 page)
✔ Unit Circle Check Point 2 (2 page)
✔ Unit Circle Check Point Answer Keys (4 page)
✔ Unit Circle Coloring Activity 1 (1 page - finding Sin, Cos, and Tan)
✔ Unit Circle Coloring Activity 2 (1 page - finding Csc, Sec, and Cot)
✔ Unit Circle Coloring Activity Answer Keys (2 page)
Section 1.4: Trigonometric Functions of Angles
✔ Google Slides (180 slides)
✔ Student’s Guided Notes (3 pages)
✔ Teacher’s Guided Notes Answer Key (3 pages)
✔ Trigonometric Functions of Angles Practice 1 (2 pages)
✔ Trigonometric Functions of Angles Practice 2 (2 pages)
✔ Trigonometric Functions of Angles Practice Answer Keys (4 pages)
✔ Trigonometric Functions of Angles Check Point 1 (1 page)
✔ Trigonometric Functions of Angles Check Point 2 (1 page)
✔ Trigonometric Functions of Angles Check Point Answer Keys (2 pages)
Section 1.5: Right Triangle Trigonometry
✔ Google Slides (177 slides)
✔ Student’s Guided Notes (3 pages)
✔ Teacher’s Guided Notes Answer Key (3 pages)
✔ Right Triangle Trigonometry Practice 1 (2 pages)
✔ Right Triangle Trigonometry Practice 2 (2 pages)
✔ Answer Keys (4 pages)
✔ Right Triangle Trigonometry Check Point 1 (1 page)
✔ Right Triangle Trigonometry Check Point 2 (1 page)
✔ Answer Keys (2 pages)
In this product, students will practice finding the six trigonometric functions of acute angles in right triangles, apply right triangle ratios to solve application problems, and use right triangle trigonometry to find the missing sides and angles of a given right triangle. Previous knowledge of angle of elevation, angle of depression, and DMS form of angles is helpful in completing some problems.
**Right Triangle Trigonometry Guided Notes: **
Guided notes are printable notes that help students organize lecture content and actively respond to material presented in class. A Google Slides presentation is included that you can click through while teaching the lesson.
Right Triangle Trigonometry Practice Activity:
This activity can be used as classwork assignment, homework assignment, or re-teaching activity.
Right Triangle Trigonometry Check Point Activity:
Check Point Activities can be used in multiple ways depending on the needs of your students. Most of the time I will use them as either exit tickets – to assess my students learning at the end of the lesson, warm-ups – to evaluate students learning at the beginning of the next lesson, or topic quizzes – to obtain a formal assessment of students understanding of the lesson.
Included in this Bundle
✔ Google Slides (177 slides)
✔ Student’s Guided Notes (3 pages)
✔ Teacher’s Guided Notes Answer Key (3 pages)
✔ Right Triangle Trigonometry Practice 1 (2 pages)
✔ Right Triangle Trigonometry Practice 2 (2 pages)
✔ Answer Keys (4 pages)
✔ Right Triangle Trigonometry Check Point 1 (1 page)
✔ Right Triangle Trigonometry Check Point 2 (1 page)
✔ Answer Keys (2 pages)
This resource includes everything you will need to successfully teach your students about the unit circle. Student will learn to identify the Unit Circle and describe its relation to real numbers. Use special right triangles to determine the order pair on the unit circle associated with the given angle measure. Then use knowledge of reference angles to develop the Unit Circle. Then students will learn how to use the Unit Circle to evaluate the six trigonometric functions of special angles found on the Unit Circle. This product includes:
Unit Circle Guided Notes:
Guided notes are printable notes that help students organize lecture content and actively respond to material presented in class. A Google Slides presentation is included that you can click through while teaching the lesson.
Unit Circle Practice Activity:
This is designed to provide your students with practice finding the six trigonometric functions of special angles found on the unit circle. This includes negative angles and angles greater than 360 degrees.
Unit Circle Check Point Activity:
This activity can be used as exit tickets, warm-ups, or topic quizzes. This check point activity assesses your students understanding of angle conversions.
Included in this Bundle
✔ Google Slides (194 slides)
✔ Student’s Guided Notes (4 pages)
✔ Teacher’s Guided Notes Answer Key (4 pages)
✔ Unit Circle Practice 1 (1 page)
✔ Unit Circle Practice 2 (1 page)
✔ Unit Circle Practice Answer Keys (2 pages)
✔ Unit Circle Check Point 1 (2 page)
✔ Unit Circle Check Point 2 (2 page)
✔ Unit Circle Check Point Answer Keys (4 page)
This product includes everything you will need to successfully teach your sketching graphs in standard position, find positive and negative coterminal angles, and find an angle’s reference angle. This product includes:
Coterminal and Reference Angles Guided Notes:
Guided notes are printable notes that help students organize lecture content and actively respond to material presented in class. A Google Slides presentation is included that you can click through while teaching the lesson.
Coterminal and Reference Angles Practice Activity:
This is designed to provide your students with practice sketching angles in standard position, finding coterminal angles, and determining the reference angle of a given angle.
Coterminal and Reference Angles Check Point Activity:
This activity can be used as exit tickets, warm-ups, or topic quizzes. This check point activity assesses your students understanding of standard position of an angle, coterminal angles, and reference angles.
Included in this Bundle
✔ Google Slides (106 slides)
✔ Student’s Guided Notes (3 pages)
✔ Teacher’s Guided Notes Answer Key (3 pages)
✔ Coterminal and Reference Angle Practice Activity 1 (2 pages - Degrees)
✔ Coterminal and Reference Angle Practice Activity 2 (2 pages - Radians)
✔ Coterminal and Reference Angle Practice Activity 3 (2 pages - Degrees and Radians)
✔ Practice Activity Answer Keys Included (6 pages)
✔ Coterminal and Reference Angle Check Point 1 (1 page - Degrees)
✔ Coterminal and Reference Angle Check Point 2 (1 page - Radians)
✔ Coterminal and Reference Angle Check Point 3 (1 page - Degrees and Radians)
✔ Check Point Answer Keys Included (3 pages)
Students will practice evaluating limits written in the indeterminate form using the following techniques: factoring, complex fractions, rationalizing, multiplying-out, special trigonometric functions, piecewise defined limits, and absolute value limits.
This product includes 7 worksheets (one worksheet for each of the topics listed above). Each activity consist of 4 questions. For each number, students choose “This” or “That” question to answer.
There are many benefits to “This or That” Activities, here are just a few:
Personalize Learning: Students feel an ownership of their work when they get to choose which problems to work.
Perseverance: With traditional worksheets, if a student starts a problem and gets stuck, they will give up. But with another option there, students will try the other option.
Fun: Student find “This or That” worksheets more fun then traditional practice.
Practice and Revision: If a student is struggling with a concept, the teacher can illustrate the process by solving the “This” problem with the student. Then they can assign the “That” problem for the student to practice the new skill.
Included in this resource:
✔ This or That Factoring Worksheet for Limits in Indeterminate Form
✔ This or That Simplifying Complex Fraction Worksheet for Limits in Indeterminate Form
✔ This or That Multiplying Out Worksheet for Limits in Indeterminate Form
✔ This or That Rationalizing Worksheet for Limits in Indeterminate Form
✔ This or That Piecewise-Defined Limits
✔ This or That Absolute Value Limits
✔ This or That Special Trigonometric Limits
✔ Answer Keys Included
This maze activity provides your students with practice converting between angle measures. Students will practice converting from degree measure to radian measure, from radian measure to degree measure, and from degree, minute, second (DMS) measure to decimal degree measure.
Maze activities are a fun and enjoyable way to practice fundamental math skills which have many benefits that enhance a students learning.
Benefits of Maze Activities in High School Math Classrooms:
Reduce math anxiety
Increase student engagement
Easy and fast to grade
Can be used as an individual, pair, or group activity
Can be used as a warm-up activity, classwork assignment, homework, review of prerequisite skills, or to reinforce current skills
Students will practice finding the derivative of functions using the following: basic differentiation rules; product rule; quotient rule; chain rule; higher order derivatives; logarithmic differentiation; implicit differentiation; and differentiation exponential, logarithmic, trigonometric, and inverse trigonometric functions
This product includes 10 worksheet activities. Each activity consist of 3-9 sets of questions. For each set, students choose to answer question A, B, or C.
There are many benefits to Choice Activities, here are just a few:
Personalize Learning: Students feel an ownership of their work when they get to choose which problems to work.
Perseverance: With traditional worksheets, if a student starts a problem and gets stuck, they will give up. But with another option there, students will try the other option.
Fun: Student find Choice Activities more fun then traditional practice.
Practice and Revision: If a student is struggling with a concept, the teacher can illustrate the process by solving the one of the problem with the student. Then they can let the student choose one of the two remaining problem to practice the new skill.
Included in this workbook:
✔ Basic Differentiation Rules Choice Activity
✔ Product Rule Choice Activity
✔ Quotient Rule Choice Activity
✔ Higher Order Derivatives Choice Activity
✔ Chain Rule Choice Activity
✔ Derivative of Exponential and Logarithmic Functions Choice Activity
✔ Derivatives of Trigonometric Functions Choice Activity
✔ Logarithmic Differentiation Choice Activity
✔ Derivatives of Inverse Trigonometric Functions Choice Activity
✔ Implicit Differentiation Choice Activity
✔ Answer Keys Included
This bundle includes everything you will need to successfully teach your students how to convert between Radians, Degrees, and DMS angle measures. This product includes:
Converting between Radians, Degrees, and DMS Guided Notes:
Guided notes are printable notes that help students organize lecture content and actively respond to material presented in class. A Google Slides presentation is included that you can click through while teaching the lesson.
Converting between Radians, Degrees, and DMS Practice Activity:
This is designed to provide your students with practice converting from radian measure to degrees, from degrees to radian measure, from DMS (degrees, minutes, and seconds) to decimal degrees, and from decimal degree measure to DMS.
Converting between Radians, Degrees, and DMS Check Point Activity:
This activity can be used as exit tickets, warm-ups, or topic quizzes. This check point activity assesses your students understanding of angle conversions.
Included in this Product
✔ Google Slides (95 slides)
✔ Student’s Guided Notes (3 pages)
✔ Teacher’s Guided Notes Answer Key (3 pages)
✔ Angle Conversion Practice 1 (1 page - degrees to radians)
✔ Angle Conversion Practice 2 (1 page - radians to degrees)
✔ Angle Conversion Practice 3 (1 page - decimal degrees to DMS)
✔ Angle Conversion Practice 4 (1 page - DMS to decimal degrees)
✔ Angle Conversion Practice Answer Keys (4 pages)
✔ Converting between Radians, Degrees, and DMS Check Point 1 (1 page)
✔ Converting between Radians, Degrees, and DMS Check Point 2 (1 page)
✔ Converting between Radians, Degrees, and DMS Check Point Answer Keys (2 pages)
This resource includes everything you will need to successfully teach your students about the unit circle. Student will learn to identify the Unit Circle and describe its relation to real numbers. Use special right triangles to determine the order pair on the unit circle associated with the given angle measure. Then use knowledge of reference angles to develop the Unit Circle. Then students will learn how to use the Unit Circle to evaluate the six trigonometric functions of special angles found on the Unit Circle. This product includes:
Unit Circle Guided Notes:
Guided notes are printable notes that help students organize lecture content and actively respond to material presented in class. A Google Slides presentation is included that you can click through while teaching the lesson.
Unit Circle Practice Activity:
This is designed to provide your students with practice finding the six trigonometric functions of special angles found on the unit circle. This includes negative angles and angles greater than 360 degrees.
Unit Circle Check Point Activity:
This activity can be used as exit tickets, warm-ups, or topic quizzes. This check point activity assesses your students understanding of angle conversions.
Included in this Bundle
✔ Google Slides (194 slides)
✔ Student’s Guided Notes (4 pages)
✔ Teacher’s Guided Notes Answer Key (4 pages)
✔ Unit Circle Practice 1 (1 page)
✔ Unit Circle Practice 2 (1 page)
✔ Unit Circle Practice Answer Keys (2 pages)
✔ Unit Circle Check Point 1 (2 page)
✔ Unit Circle Check Point 2 (2 page)
✔ Unit Circle Check Point Answer Keys (4 page)
Students will analyze the equations of trigonometric functions (including finding period, amplitude, phase shift, and vertical shift) and use them to match the equation to both the graph and the transformations.
Included in this resource:
✔ 18 Trigonometric Function Cards (2 pages)
✔ 18 Transformation Cards (2 pages)
✔ 18 Trigonometric Graph Cards (5 pages)
✔ One Blank Answer form for students (1 page)
✔ Answer Key (1 page)
Law of Sines Bingo is a fun and engaging way for your students to practice using the Law of Sines to find the length of missing sides and angles of triangles. For each question students are given three pieces of information about the triangle (either ASA, AAS, or SSA information) and are asked to find one of the missing sides or angles. Once they find their answer (rounded to the nearest tenths place) they mark the corresponding answer on their bingo board. If there are two possible triangles that can be formed for the given data, the students must find the corresponding measure in BOTH triangles. This engaging and fun activity is perfect for teachers and students looking to make trigonometry practice more exciting and effective.
I have included two different bingo games in this product: Bingo and Turbo Bingo. The bingo game is the traditional bingo game with 24 answer blanks plus 1 free space in the middle of the board. To win this game, a player must get 5 bingo chips in a row (either vertical, horizontal, or diagonal). Turbo Bingo is played similar to bingo except the game board is smaller (15 angler blanks plus 1 free space) and players only need 4 bingo chips in a row (vertical, horizontal, or diagonal) to win this game. Turbo bingo also has fewer questions, so it is more likely that the answer will appear on the player’s Turbo Bingo board.
Included in this product:
☞ 45 Bingo Board
☞ 48 Bingo Question Cards
☞ Bingo Question Reference Sheet (4 pages)
☞ 45 Turbo Bingo Boards
☞ 24 Turbo Bingo Question Cards
☞ Turbo Bingo Question Reference Sheet (2 pages)
☞ 6 Prize Certificates (2 of which are blank, so you can customize for your class)
☞ 96 Multi-color bingo chips
This activity provides your students with practice solving limits algebraically using the following algebraic techniques: direct substitution, factoring, rationalizing, multiplying out, and simplifying complex fractions. This algebraic limit worksheet is a fun way to provide your students with extra practice evaluating limits.
Why should I include coloring activities in my classroom? Research has shown that coloring can reduce math anxiety, increases creativity, increases memory, increases mindfulness and attention, and increases student enjoyment and engagement in class.
Included in this resource:
✔ Limits Algebraically Coloring Activity 1 ( 1 page)
✔ Limits Algebraically Coloring Activity 2 ( 1 page)
✔ Answer keys Included (2 pages)
This coloring activity provides your students with practice evaluating the six trigonometric functions of angles found on the Unit Circle. This product includes two different coloring activities. In the first activity, students practice finding the sine, cosine, and tangent of unit circle angles (over 40 problems). Student are asked to find the cosecant, secant, and cotangent of angles found on the unit circle (over 40 problems) on the second coloring activity.
Included in this resource:
✔ Unit Circle Coloring Activity 1 (1 page - Finding Sin, Cos, and Tan)
✔ Unit Circle Coloring Activity 2 (1 page - Finding Csc, Sec, and Cot)
✔ Answer keys Included (2 pages)
This coloring activity provides your students with practice solving limits algebraically using the following techniques: direct substitution, factoring, multiplying out, rationalizing, solving piecewise-defined functions, and absolute value functions.
Why should I include coloring activities in my classroom? Research has shown that coloring can reduce math anxiety, increases creativity, increases memory, increases mindfulness and attention, and increases student enjoyment and engagement in class. This coloring activity is an enjoyable method of practice an important calculus skill.
Included in this resource:
✔ Evaluating Limits Coloring Activity 1 (3 pages)
✔ Evaluating Limits Coloring Activity 2 (3 pages)
✔ Evaluating Limits Answer keys Included (6 pages)
This coloring activity provides your students with practice using the definition of continuity to determine if a function is continuous or discontinuous. If the function is discontinuous, students will classify them as removable (point), jump, or infinite discontinuity.
Why should I include coloring activities in my classroom? Research has shown that coloring can reduce math anxiety, increases creativity, increases memory, increases mindfulness and attention, and increases student enjoyment and engagement in class. This coloring activity is an enjoyable method of practice an important calculus skill.
Included in this resource:
✔ Classifying Discontinuity Coloring Activity 1 (3 pages)
✔ Classifying Discontinuity Coloring Activity 2 (3 pages)
✔ Answer keys Included (6 pages)
Do your students need more practice with integration? You can use each worksheet in the Integration Technique Workbook as classwork activities, homework assignments, or as a tailor-made assessment. Students love choice activities because they feel ownership of the work when they get to choose which problems to work on. Teachers love the activities because they are easy to identify individual student’s areas of weakness, fast grading, and great re-teaching opportunities for students who need a little extra practice and guidance.
Students will practice finding both definite and indefinite integral throughout this workbook. Students are introduced to the idea of integration through the Indefinite Integral, Differential Equation, Summation, and Riemann Sum Worksheets. Then expand your integration knowledge by completing the Properties of Integration, Fundamental Theorem of Calculus, Average Value Theorem, Mean Value Theorem of Integration, Definite Integral, Integration of Even/Odd Functions, and Integration by Substitution worksheets.
This product includes 10 worksheet activities. Each activity consists of 3-8 sets of questions. For each set, students choose to work on questions A, B, or C.
There are many benefits to Choice Activities, here are just a few:
Personalized Learning: Students feel an ownership of their work when they get to choose which problems to work.
Perseverance: With traditional worksheets, if a student starts a problem and gets stuck, they will give up. But with another option there, students will try the other option.
Fun: Students find Choice Activities more fun than traditional practice.
Practice and Revision: If a student is struggling with a concept, the teacher can illustrate the process by solving one of the problems with the student. Then they can let the student choose one of the two remaining problems to practice the new skill.
Included in this workbook:
✔ Student-Work and Paper-Saving Versions of Each of the
following Worksheets:
✔ Indefinite Choice Activity
✔ Differential Equations Choice Activity
✔ Summation Choice Activity
✔ Riemann Sums Choice Activity
✔ Properties of Definite Integrals Choice Activity
✔ Fundamental Theorem of Calculus Part 1 Choice Activity
✔ Fundamental Theorem of Calculus Part 2 Choice Activity
✔ Integration of Even/Odd Functions Choice Activity
✔ Average Value Theorem and Mean Value Theorem of Integration
Choice Activity
✔ Integration by Substitution Choice Activity
✔ Answer Keys Included
