Center for Mathematics and Technology
Whole Numbers: Using an Area Model to Explain Multiplication
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
Baylor College
Needs of Plants
What better way to learn about plant life than by creating a class garden? Young botanists start with a brief discussion about radishes before planting seeds and watching them grow. To determine the importance of water,...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Mathematics Vision Project
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas...
EngageNY
Unknown Angle Proofs—Proofs of Known Facts
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...
Achieve
False Positives
The test may say you have cancer, but sometimes the test is wrong. The provided task asks learners to analyze cancer statistics for a fictitious town. Given the rate of false positives, they interpret the meaning of this value in the...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
West Contra Costa Unified School District
Correlation and Line of Best Fit
Computers are useful for more than just surfing the Internet. Pupils first investigate scatter plots and estimate correlation coefficients. Next, they use Microsoft Excel to create scatter plots and determine correlation...
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
Curated OER
Level III: Technology Integration
Fourth graders prepare two spreadsheets each with an embedded line graph that displays data about the growth of the bitter rot fungus on apples and on petri dishes that were stored in the refrigerator and the classroom. They prepare a...
Disney
Where Do Brown Bears Live?
What do brown bears in Alaska's Katmai National Park need to survive? Pupils explore the unique habitats, diet, and survival needs of this animal. They predict the consequences of removing any integral part of the bear's survival,...
CK-12 Foundation
Trapezoidal and Midpoint Approximations: Area of a Skirt
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
Minnesota Department of Natural Resoures
Minnesota’s Forests
The forests of Minnesota provide middle schoolers with an integrated learning opportunity. They examine the three biomes and their histories, conduct experiments, read stories, and draw pictures. A lovely lesson about trees.
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
Curated OER
Quiz On Basic Integration Formulas
Students participate in a formal assessment of knowledge concerning the basic Integration Formulas. They apply the review practices given in the resource links to problems found in the assessment. The teacher should use these as review...
Curated OER
Integrals and Limits
In this college level calculus worksheet, students evaluate the given integrals and compute the given limits or show that the limit does not exist. The three page worksheet contains ten problems. Answers are not provided.
Curated OER
Integration Review Part 6
In this college level calculus activity, students review various integration techniques. The one page activity contains three problems. Answers are not provided.
Curated OER
Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
Curated OER
Integrals with Odd Powers of Sine and Cosine
Students review the power rule for integrals. They watch as the teacher demonstrates several problems. Students describe problems as an integral of u^n or du/u. They discuss problems that are not u^n because of the absence of a...
Curated OER
Integrals with Even Powers of Sine and Cosine
Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
Curated OER
Integrals by Partial Fractions (Heaviside Method)
Students listen as the teacher describes the Heaviside Method of integrating integrals. They solve several problems using the Heaviside Method, and practice deciding when this method can and can not be used. Students work several...
Curated OER
Worksheet 12: Area of Regions
For this area of regions worksheet, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page worksheet contains approximately 25 problems. This is a...
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