CALCULUS BC - SEQUENCES. Bounded, Monotonic, Convergent, Divergent A start before series. Student activity to encourage recall for sequences - can be BTC or not. Options included in teacher notes. Guided notes for Boundedness and Monotonic tests. Practice with answers. Practice can be used for groups or individual work.
This bundle includes: Conceptual activity using a visual definition of the derivative - secant line to a tangent line. Practice included. BTC exploratory lesson for basic derivative rule. Includes CYU (practice) Matching derivative graph with its original function. Derivative Task Cards - 24 cards to solidify students' skills in determining a derivative. Negative and rational exponents. No trig.
ARC LENGTH FOR BC CALCULUS Download preview to see all slides Students will investigate the development of the Arc Length formula using the concepts of the Pythagorean Theorem, Riemann Sum and Mean Value Theorem. Proof included after students determine concept. Teacher notes every step of the way! 8 problems included for classwork. Set up all integrals and use the calculator to evaluate. Included is one perimeter problem and one FTC 2 problem. Answers included
24 Derivative Task Cards Basic Rule only. No transcendentals. Polynomials, negative exponents, rational exponents, radicals, simplify by factoring. Student worksheet included. Answers and teacher notes included. Great for review! Good for CP or Honors Calculus students who need more support. Possible uses - Laminate, cut and hang around the room Arrange into workstations Hand out 24 cards per group. Check out the BTC lesson for basic rule here.
Basic Derivative Rule - BTC lesson and CYU with answers. Students will discover the basic derivative rule using the definition of the derivative with polynomial functions. Set 1 is linear ending with general y = mx + b. Set 2 is quadratic ending with y = ax^2+bx + c. Set 3 is discovery above degree of 2 based on patterns they observed in the previous two sets. This set ends with y = ax^n. CYU contains mild, medium and spicy problems. Mild problems have minimal fractional coefficients, medi
Definition of the Derivative - Thin sliced activity for students to calculate slope of the tangent line as one point moves to a fixed point. Fixed point and movable point eventually becomes (x, f(x)) and (x + h, f(x + h)). Visual representation for secant line approaching tangent line included in activity. Numerical representation for h and slope. Activity can be done in pairs or groups. Students make conjectures. Consolidate at end. 3 problems to do in class as notes to ensure proper exe
Mean Value Theorem for Derivatives Class activity includes directions for every step. Students love this movement!They will be intrigued when they see the class results. Options for activity included in case classroom space is at a minimum. One notes page and two pages of practice problems with answers.
Limits at Infinity Mazes! Same 11 problems on each version - Digital and Paper Digital version for self checking! Limits include Exponential, Rational (Poly and Radical), Trigonometric, e and Ln and combinations. Can all be done by thinking about behavior of functions! Good for AP, Honors and CP Calculus. Time to complete will vary by Calculus level. Check out Limits at a point Mazes
AB/BC Integration Techniques Digital Worksheet Excel and Google files included. Student reflection page comprised of three questions. An extra editable reflections page is included in case you want to change up the questions to your liking. 15 integrals to be identified with their plan of attack. General Rule Long Division (Type out the word Division in answer) U-Sub (this is how it will be in the answer) Inverse Trig Partial Fractions By Parts Sometimes students struggle with identifying thei
Derivatives of e and Ln functions. Includes Product, Quotient and Chain Rules Logarithmic properties incorporated for finding derivatives. Some solutions were condensed, some not. Great opportunity for a self checking review! AP and Honors Level. More challenging for CP.
Perfect Day 1 activity if Calculus BC is a separate course from Calculus AB. Otherwise, this can be used as a refresher or a review of AB concepts. Problems include: Limits Point of Inflection Implicit Differentiation Integral application-Position, Velocity, Acceleration Area between Curves FTC 2 Definite Integrals Word application problems
CONTINUITY lesson and practice. Get the kids to generate what it means for a function to be continuous at a point. They will draw a picture of a function that is discontinuous at a point. Hang the pictures in groups and have students generate what it means for a function to be continuous at a point. Activity includes teacher notes, student page with instructions. Practice includes page for group work right after activity using the definition of continuity with graphs and functions. Last page
DERIVATIVES PRACTICE. Power, Product and Quotient Rules Speed dating activity without the speed! Instructions included. 12 problems for students to practice together in pairs. Good for a review of the rules and algebra. Opportunity for student mathematical discourse. Content - fractional and negative exponents. Some factorable quotient rules. Answers included.
Calculus Limits Maze! Limits at a point includes polynomial, rational, radical and trigonometric functions. No e or Ln. Digital self checking version has 19 questions. Assign through Teams. input fractions as answers unless the fraction is a terminating decimal. Answer key accepts two versions ( i.e. 4/5 or 0.8) Paper version has 11 of those 19 questions. Answer key included with paper version. Either version great for practice with finding limits algebraically! Good for AP, Honors or CP Calc
Cut and paste each f(x) into the box with its corresponding derivative graph. Linear and Polynomial only. 8 questions. Can be used as a warm up, closing activity or part of a lesson.
33 years Grade 6 - 12 - Wonderful career!
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As a former high school math memorizer, I strive for students to understand patterns, relationships, and the "why"?
I am very much about giving the kids a situation and "let 'em have it!" with my support and guidance.
Many of my equation solutions are 'messy' answers. That is OK! Embrace the messiness.
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Article published: First Day of School: Using the QFT in AP and Honors Calculus.
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My own education history
B.S. Mathematics Salem State College 1989
MAT Mathematics Education Bridgewater State College 1993
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Speaker, NCTM National, Anaheim, CA 2005
Speaker, MACS Bridgewater State College 2006
Speaker, ATMIM 2018
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