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...
Hotchalk
Triangle Sum Theorem
Your visual geometry learners will appreciate triangle drawings as they model the triangle sum theorem and algebraically solve to find the missing interior angle in a triangle. Practice problems increase in complexity and vary in their...
Charleston School District
The Sum of Angles in a Triangle
An informative lesson contains a brief explanation of how the sum of the angles of a triangle is a line. The lesson continues with determining the missing angle in a triangle, or solving for a variable. Using the sum of the angles, the...
Flipped Math
Calculus AB/BC - Approximating Areas with Riemann Sums
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
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
Riemann Sums
Students calculate the area under a curve. In this calculus instructional activity, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
Curated OER
Estimate Sums and Differences
In this estimating sums and differences practice learning exercise, students sharpen their problem solving skills as they solve 6 story problems.
Curated OER
Unknown Numbers in Sums and Differences
Beginners to addition and subtraction will have fun with these three word problems, which have accompanying visuals. They complete one problem with a missing difference, one with a missing sum, and a third with a missing subtrahend....
Curated OER
Unknown Numbers in Sums and Differences
Your new mathematicians may think word problems sound scary, but this introductory set of scenarios will leave them feeling accomplished in their addition and subtraction skills! Learners read seven word problems, each requiring them to...
Math Worksheets Land
Unknown Numbers in Sums and Differences
You've hit the word problem jackpot with this set of 10 addition and subtraction scenarios! For each, learners have to find a missing number. Sometimes it is the sum or difference, and for others, an addend or minuend. For each, there is...
Curated OER
Riemann Sums and the Definite Integral
In this integral worksheet, students use Riemann sums to estimate their answers. They answer story (or word) problems about distance/speed. Students are given a defined interval and use the Riemann sum to find the endpoints of the graph....
Illustrative Mathematics
Kiri's Mathematics Match Game
Learning math is so much more fun when it involves playing games. Following the rules of the classic game Memory, young mathematicians flip over two cards at a time as they look for numbers whose sum or difference is equal to the value...
College Board
2009 AP® Calculus AB Free-Response Questions
What was one of the big takeaways from 2009? By reviewing the released AP® Calculus free-response questions, pupils and teachers realize that performing mathematics is not all there is to doing well on the exam. Several items require...
Curated OER
Sum and Product of the Roots
For this root worksheet, students determine the sum and product of given roots. They write quadratic equations for specified roots. This one-page worksheet contains ten problems.
Curated OER
Hands On: Find Decimal Sums and Differences
In this finding decimal sums and differences practice worksheet, students sharpen their problem solving skills as they solve 6 story problems.
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
Discussion Sheet 1: Sums, Midpoints
In this sums worksheet, students evaluate sums, estimate total mass, determine left and right endpoints and midpoints of the subdivision. This one-page worksheet contains fifteen problems.
Curated OER
Triangle Sum Theorem
Tenth graders investigate the theorems of angles and lines to prove triagle sum theorem. In this geometry lesson, 10th graders discuss the theorems of triangles and how it is used to solve for missing sides or angles. They review how two...
Curated OER
Integration Unit: Riemann Sum
Students investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.
Illustrative Mathematics
Making a Ten (Grade 1)
How many ways can first graders make a 10? Using an addition chart, learners color in the 10s on the table. They notice and explain the meaning of the pattern, and how to get to another sum of 10.
College Board
Reasoning from Tabular Data
Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...
Curated OER
Visual Sum and Difference Word Problems - Independent Practice
The ten prompts on this worksheet are intended for independent practice with addition and subtraction of numbers up to 3000. Space is provided for pupils to illustrate their work. The confusing wording of some the problems would be a...
Curated OER
Visual Sum and Difference Word Problems
Aside from awkward wording, this worksheet has problems for learners to solve. They read each problem then use the provided pictures to solve. Note: The images and language are misleading on this worksheet and may be confusing for some...
Curated OER
Number Lines and Whole Numbers
Number lines are a great way to help beginning mathematicians comprehend addition and subtraction. They examine an addition equation and find the sum using the number line. Learners indicate the sum on the line and write it into the...