Basic Math Reference Sheet
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Programs & methods
Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
Take your students beyond basic derivatives with this powerful Applications of Derivatives Cheat Sheet for AP Calculus! This 2-sided, one-page resource clearly organizes the most important concepts from Units 4 & 5, helping students apply derivatives in real-world and exam-style situations. 📘 What’s Included:• Mean Value Theorem (MVT) • Extreme Value Theorem (EVT) • Critical points and the Candidate’s Test • Increasing & decreasing intervals • First and Second Derivative Tests • Concavity and
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
Basic Antiderivatives/Indefinite Integrals (Power Rule and Basic Trig) Notes
These notes cover introducing and finding antiderivatives of expressions using the power rule - as well as the six basic trig functions. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
Derivative Basics (Power Rule/Basic Trig) Notes
These notes cover simple and complex power rule and the six basic trig function problems. There is also a look at the continuity and differentiability of piece-wise functions. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
Introduction to Slope Fields Notes
These notes the basics of slope fields. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and labeled their notes to reference it and it was taped/glued on one edge on the current or the
9th - 12th, Higher Education
Calculus
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
Introduction to Motion Notes
These notes the basics of motion on a line (2 dimensions) both analytically and graphically. There is also a graphic organizer (copy it 2 to a page for and interactive notebook). As always with my lessons, there is a focus on justifying answers. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
Antiderivatives/Indefinite Integrals and Initial Conditions Notes
These notes follow the basic antiderivative notes and add in using an initial condition to determine a particular solution. It does include having students draw a slope field to SEE the solution they are finding. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it t
9th - 12th, Higher Education
Calculus
Also included in:Â Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
These notes cover introductions to the following topics: Derivative (basic trig and power rule)Motion (graphically and analytically)Slope FieldsTangent Lines and Euler's MethodAntiderivates/Indefinite IntegralsAntiderivatives and Initial ConditionsThese note sheets are formatted to be on 1/2 sheets of paper. They are intended to be handed out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use them as part of their in
9th - 12th, Higher Education
Calculus, PreCalculus
AP® Calculus AB/BC - Unit 6: Integration and Accumulation of Change
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 6: Integration and Accumulation of Change6.1 Exploring Accumulation of Change 6.2 Riemann Sums and Sigma Notation (Left, Right, Midpoint) 6.3 The Fundamental Theorem of Calculus 6.4 Antiderivatives and Basic Integration Rules 6.5 Finding Antiderivatives (Indefinite Integ
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
AP® Calculus AB/BC - Unit 4: Contextual Applications of Differentiation
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 4: Contextual Applications of Differentiation4.1 Interpreting the Meaning of the Derivative in Context4.2 Straight-Line Motion: Connecting Position, Velocity, and Acceleration4.3 Rates of Change in Other Contexts (Non-Motion Problems)4.4 Introduction to Related Rates4.5
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 5: Analytical Applications of Differentiation5.1 The Mean Value Theorem (MVT) and Rolle's Theorem 5.2 Using the First Derivative Test (Increasing/Decreasing, Critical Points) 5.3 Using the First Derivative Test (Relative Extrema) 5.4 Using the Second Derivative Test (Con
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
AP® Calculus AB/BC - Unit 2: Differentiation Definition and Fundamental Property
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 2: Differentiation: Definition and Fundamental Properties2.1 Introducing the Derivative: Definition & Derivative as a Function2.2 The Derivative as the Slope of a Tangent Line2.3 Differentiability and Continuity2.4 Basic Derivative Rules (Power, Constant Multiple, Sum/Di
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
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