Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
CK-12 Foundation
Area Sums: Estimation with Rectangles
The more rectangles, the better the estimate. Using the interactive, pupils explore estimating the area under a curve using left-hand sums. Learners respond to challenge questions on how to get better estimates using the same technique.
Curated OER
Challenge Sheet 1: Limits and Sums
In this limit worksheet, students evaluate sums, determine limits, compute distance problems, and sketch functions. This one-page worksheet contains approximately eleven problems.
Curated OER
Estimating Sums and Differences
Work on rounding, estimating, adding, and subtracting with a helpful math activity! Fifth graders study different sets of addition and subtraction problems, and after rounding each number to the leading digit, they estimate what the sum...
CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Curated OER
Riemann Sums
Mathematicians use their calculators to investigate Riemann sums. Your learners will explore the relationship between the limit of two Riemann sums and the definite integral of the function.
Curated OER
Estimating Sums of Money
By rounding, scholars find that adding money amounts becomes a breeze! They round two and three-digit numbers (with decimals) in these addition problems to get approximate sums. For each, mathematicians write the new addition equation...
Curated OER
Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson plan. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
Curated OER
Worksheet 34 - Sequence
In this sequence worksheet, students examine sequences, write the terms of a sequence, identify the limits of a sequence. This one-page worksheet contains seven problems.
Curated OER
Limit Definition of the Definite Integral
In this integral worksheet, students compute the Riemann sum that is defined by the given equation. They use a step by step process for computing an integral.
Curated OER
Addition
Looking for some straightforward addition practice? You found it! Mathematicians calculate sums between double-digit addends, using examples as guidance. There are 12 problems total. Next, they answer two simple addition word problems....
Curated OER
Adding Two Numbers
Keep addition drills interesting by varying the exercises. There are four separate sections here for youngsters to solidify their understanding of adding three-digit addends. First, they calculate eight vertically aligned equations,...
Curated OER
Addition
Each of these addition equations involves two addends that are multiples of 10. Although there isn't any regrouping necessary, some of the sums are three-digit. The first 16 of these 28 equations are vertically oriented and the second 12...
Curated OER
Adding Up
Make addition visual in order to help beginners understand the concept. They add up beads on a string, examining an example before trying it on their own. Learners fill in addends and sums for these, and sometimes both. Although...
Curated OER
Adding Machines
Turn your first graders into adding machines! This is a fun way to practice single-digit addition, and scholars complete 25 equations. Each machine has a function; five numbers go into the machine, are added to, and emerge on the other...
Curated OER
Fact Families
With a few extra numbers, these fact families would be complete! After looking at an example, scholars write in the sums and differences for six equations as part of three different fact families. This is really for beginners to this...
Curated OER
Finding The Sum of an Infinite Series
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
Curated OER
Trig Functions
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
Curated OER
Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
Curated OER
Quiz 1: Sums
In this sums worksheet, students evaluate sums. They use the limit definition of the definite integral to evaluate a function. This two-page worksheet contains four multi-step problems.
Curated OER
Application of Delta-Epsilon Definition of the Limit
Students create a Hexaflexagon using a formula. In this calculus lesson, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and investigate angles.
Curated OER
Application of Delta-Epsilon Definition of the Limit
Students investigate the concept of a Limit and how it is used in a variety of problematic situations. They fold paper to help illustrate how to form equilateral triangles and explain how all the angles are the same. The lesson includes...
Balanced Assessment
Pick a Pattern or Two
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...