learnmathwithmslyn

There are so many ways to look at definite integrals; What is a fun way to practice? The Gallery Walk on Riemann Sums, Area, and Definite Integrals will offer your students problems converting Riemann Sums to definite integrals, finding area between to curves, Trapezoidal Rule, Left, Right and Midpoint Riemann Sums and determining overestimates and underestimates. What is included:10 “Pictures” with questions.Graph using Left (and Right ( Riemann Sums. Graph using Trapezoidal Rule

What is a meaningful way to relate Riemann Sums to integration? In this introductory lesson on approximating area of an irregular shape, we will explore graphically, numerically (in charts) and algebraically how to determine a Right Riemann Sum and a Left Riemann Sum. Concepts in this lesson are:Riemann Sums solved using a graph.Riemann Sums determined from a function with and without technology.Determining Riemann Sums from a chart with regular intervals and with varying widths. Determining

How do I help my students realize their errors with Separation of Variables?. In this Error Analysis on Differential Equations, students will identify common errors and then rework the problem correctly. These ten problems will give students practice on separation of variables, adding C to one side, exponentiating to solve log problems, and when to consider positive and negative answers. Each problem is on its own separate sheet, but I’ve also included an answer sheet that can hold up to 5 probl

Optimization, like all word problems, are difficult for students. Students will explore optimization problems using given equations and where they provide the needed geometric formulas to determine the maximum or minimum. The anchor charts provide students with steps for solving for absolute extrema by checking endpoints, and when needed, using the second derivative test. The no prep lesson and worksheet are easy for students to follow and complete. Afterwards they can take the formative assessm

How do I teach my students how f, f’, and f’’ are related? The Gallery Walk on Applications of Derivatives will give your students practice in analyzing graphs of derivatives analytically, numerically, and graphically. Students will graph f(x) from f’(x), and the reverse. They will read charts of f’ and f’’ to graph f. They will analyze a function by taking its derivatives to graph. Finally, they will differentiate f, f’, and f’’ graphs. All of these require levels 2 through 4 of learning. Man

How do I help my students gain confidence in solving optimization word problems? These task cards offer 8 common types of optimization problems for students to practice. The guide sheet has a nine-step procedure for students to follow when solving these problems. Each task card has a solution card that you and your students may use to aid in discussion of the solutions. Finally, after the students feel confident with these 8 problems they can take the quiz, which mirrors the task cards. What

How do I get my students to practice more related rates problems? These Halloween themed task cards make learning position, velocity, and acceleration AND related rates more enjoyable. There are 15 problems: the first 4 are PVA and the remaining 11 are Related Rates. Give students all 15 or chose 10 to differentiate according to students’ abilities. Just copy the questions, cut in half, and distribute to students. (Laminate if you choose.) What’s Included:· 4 PVA (Position, Velocity, Accelerati

Students often have difficulty with piecewise functions. These Task Cards give your calculus students plenty of practice in determining continuity both graphically and analytically. Students may work individually, in pairs or other small groups, or they may complete them as an Easel assignment. Allow about 4 to 8 minutes per card. What is included:· 16 Task Cards o 5 Pairs of Piecewise Functions – one determines continuity graphically, one analytically. o 1 pair of definitions: one lists con

One of the best ways for students to learn is by correcting mistakes- theirs or someone else’s. The Error Analysis of Derivatives will give students an opportunity to find common mistakes when applying the product rule, quotient rule, and chain rule. Students will identify the mistake, determine what strategy to use, and then solve the problem correctly. Each problem is on a separate sheet, so you can mix and match to your students’ needs. The solution sheet immediately follows your problem s

How do I know if my students understand integration applications? This PowerPoint of warm-up/review questions is the answer. From average value to volumes using discs, washers, and cross-sections, students will practice the 17 problems and can self-check upon completion. The questions are designed to take students five to ten minutes to solve, so that you have time to deal with your classroom responsibilities (roll, helping students who were absent, etc.) Then the step-by-step solution is eas

How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. Concepts included:· Extrema on an interval. · The Mean Valu

Applying the definition of a derivative is difficult for many students. However, by breaking the lesson into steps, students will generally find success. This lesson begins with finding the slope of a secant line. Then it applies limits to develop the definition of a derivative. Concepts in this lesson are:· Slope of a secant line. · Using limits to find the slope of a tangent line. · Ways to notate a derivative. · Definition of a derivative at a point. · Determining derivatives using the d

What is the simplest way to explain basic limits to your students? Explore limits verbally and graphically in this first lesson of my limit series. This student friendly program breaks up Calculus into small bites that students can easily digest. Through reading and guided practice, students will gain the knowledge to complete the activity sheet at the end of the lesson. Comic figures emphasize points about limits throughout the lesson to keep students interested and motivated. Both print an

Don’t let your students forget all their precalculus skills over the summer! This 10-topic worksheet review covers all the types of functions needed for calculus with emphasis on trigonometry. It’s a great way to prepare your students for AP Calculus. Included in this packet are: · 10 review worksheets. · A formula and concept section they can refer to if they get stuck. · An answer key for you to grade their work, or you can provide it to them for self-check. · Self-evaluation questionna

How efficiently can your students evaluate basic limits? This fun little activity helps students develop fluency in determining limits. Since each row contains similar problems, I require the students to complete two columns. If they complete two columns correctly, they are demonstrating accuracy in limits. However, if they miss one, they still have at least two opportunities to demonstrate understanding by solving another limit problem from the same row. The fifth column, Column E, is a