Allison Prime

1.1 Finding Limits Graphically and Numerically This is the first lesson in the Limits Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You have the option to purchase the video lesson to the notes. In this lesson students will discover when a limit exists or doesn’t exist as a graph and as a table. I always explain to my students that a limit has to be on a “road” aka the gr

2.3 Tangent and Normal Lines This is the third lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will be taught how to find tangent lines and normal lines. They will also understand how to find points that make the tangent line parallel to another line and al

1.4 Limits at Infinity This is the fourth lesson in the Limits Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson students will be taught six different ways they may encounter limits as they approach positive or negative infinity. They will understand that limits at infinity means to determine t

1.6 Intermediate Value Theorem This is the sixth and last lesson in the Limits Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson the first of three existence theorems in Calculus will be discussed – the Intermediate Value Theorem. Students will determine what the Intermediate Value Theorem is,

This worksheet has 40 problems using sin, cos, and tan and the unit circle. Twenty of the problems involve when you are given the radian value and you need to find the corresponding coordinate, and the other twenty problems utilize inverse trig when you are given a coordinate value and you need to find any of the radian values. An answer sheet is included.

1.1 Finding Limits Graphically and Numerically Planning on being absent but you still want your students to learn while you are gone? Want to flip your classroom? You and your students don't have to miss a beat because this lesson includes the video of me going through the guided notes. It is approximately 45 minutes in length. This is the first lesson in the Limits Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math jo

1.3 Evaluating Limits Algebraically part 2 This is the third lesson in the Limits Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opt to purchase the video lesson to the notes. In this lesson students will learn 3 more methods on how to solve limits algebraically. They will learn basic substitution, how to evaluate infinite limits, and trigonometric limits

1.2 Finding Limits Algebraically This is the second lesson in the Limits Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You have the option to purchase the video lesson to the notes. In this lesson students will be taught three different algebraic methods in solving limits: substitution, factoring, and the conjugate method. They will understand how to recognize each form a

2.7 Implicit Differentiation This is the seventh lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will understand what implicit differentiation is and when to apply it. They will understand how to do implicit differentiation with the Product, Quotient, and C

2.5 Chain Rule This is the fifth lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will be taught six different ways using the Chain Rule. First, will see the necessity of the Chain Rule. Then, students will see it applied in several different ways such as wi

2.10 Derivatives of bases other than e This is the tenth lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will learn how to find derivatives of exponential functions other than e and logarithms that have bases other than e. Prior to this lesson, students sho

2.8 Derivative of ex This is the eighth lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will learn how to differentiate ex. They will see examples of the Product, Quotient, and Chain Rule. Additionally, they will work with ex and trigonometric functions, im

2.2 Basic Derivative Rules This is the second lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson students will be taught six different rules to find a derivative – Constant Rule, Linear Rule, Power Rule, Constant Multiple Rule, and Sum and Difference Rules. Students wil

2.9 Derivative of lnx This is the ninth lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will learn how to differentiate lnx. Prior to this lesson, students should be aware of log properties. If they are unfamiliar with the properties of logs, it is a good i

2.6 Trigonometric Derivatives This is the sixth lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will be taught the six trigonometric derivatives. The lesson begins with finding the derivatives to tanx, cscx, secx, and cotx using the Quotient Rule and the de

2.4 Product and Quotient Rules This is the fourth lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will be taught the Product and Quotient Rule. By the end of the lesson, students will be able to know when and how to apply the Product and Quotient Rule. I al

2.1 Definition of a Derivative This is the first lesson in the Derivative Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson students will be taught how to use the definition of a derivative with five different functions - linear, quadratic, cubic, square root, and rational. Additionally studen

1.5 Continuity This is the fifth lesson in the Limits Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes. In this lesson, students will learn all about continuity. This lesson is typically one of the hardest lessons in the Limits Unit, so I tried to break down each topic. I also like to spend a little more time

When I begin practicing with my students for the AP test, I have my students complete past free response questions. While that is helpful, most free response questions are different from each other so my students never get a chance to "master" one type of problem. I noticed a disconnect. This is why I created problems that are very similar to certain free response questions. Now, my students are able to get many chances with the free response questions, and I have witnessed their progress increa

When I begin practicing with my students for the AP test, I have my students complete past free response questions. While that is helpful, most free response questions are different from each other so my students never get a chance to "master" one type of problem. I noticed a disconnect. This is why I created problems that are very similar to certain free response questions. Now, my students are able to get many chances with the free response questions, and I have witnessed their progress increa