Curated OER
Exam One Review
In this secondary mathematics activity, students solve problems that involve patterns, arithmetic and geometric sequences, geometric logic and reasoning, and changing bases. The three page activity contains fourteen problems. ...
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Finding Remainders in Pascal's Triangle
Students use clock arithmetic to find remainders. For this patterns in math lesson, students explore the relationship between clock arithmetic and remainders using a computer applet. Students also identify patterns in Pascal's triangle...
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Practicing Arithmetic
Pupils practice single operation arithmetic ranging from single digit addition to long division of decimals or real numbers using Graphit. They use data sets and rules to graph ordered pairs.
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Finding The Sum of an Infinite Series
High schoolers 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...
Illustrative Mathematics
The Stamp Collection
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
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Fabulous Fractals
Learners view a video to discover how patterns in nature relate to math. They explore the concept of exponential growth by observing and creating fractals. They solve and design word problems.
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Arithmetic Chains
Students complete a chain of numbers given the outcome. In this geometry lesson, student use deductive and inductive reasoning to solve problems. They create a formula and ways to predict numbers in the chain without starting over.
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...
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Sequences
In this algebra worksheet, learners identify difference and common ratio in sequences. They use arithmetic and geometric ratios to solve patterns. There are 10 questions with an answer key.
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Recursively Defined Sequesnces
In this algebra worksheet, students solve a pattern or sequence using geometric and arithmetic formulas. There are 21 questions on 5 different sections.
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Geometric Sequences and Series
In this algebra worksheet, students solve sequences using the geometric mean for sequences and series. They have to find the next number in the pattern using the formula for geometric means. There are 23 problems to be solved.
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Writing Equations Mixed Review
Students write equations based on a pattern. In this algebra lesson, students calculate the arithmetic and geometric mean of a sequence. They rewrite word problems as a linear equation and solve real life scenario based on the given data.
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Introduction to Fractals: Geometric Fractals
Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...
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Geometric Fractals and the Chaos Game
Students define fractals and patterns. They explore how a seemingly random process can result in a pattern. Students practice probability and fractions skills by playing the chaos game online.
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Converge or Diverge?
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
Code.org
Binary Numbers
All you need is a zero and a one. Build pupils' understanding of binary values and number systems to gain familiarity with binary numbers. Using a hands-on activity and technology, scholars learn how the binary system works and its...
EngageNY
The Division of Polynomials
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
LABScI
Atomic Structure and the Periodic Table of Elements: The Secret Agent Lab
Food always gets attention! Model atomic structure using fruit loops to represent the subatomic particles. After building models, scholars create ionic bonds using their models. Finally, they use these concepts to create a periodic...
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
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The Function Box
Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...
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Math and Native Americans
Students explore how math is relevant to Native Americans. Students investigate Indian culture through geometry. They describe and create geometric polygons and patterns. Students problem solve with tangram patterns to make Indian...
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Geometry and Measurement
Young scholars view a right triangle displayed by the teacher. Students measure legs and the interior angles of the triangle. They look for a pattern or relationship between the legs and angles. Young scholars use pegboards and string to...
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Sequences
Students solve problems using the TI. In this calculus lesson, students evaluate functions using sequences. They graph the functions on the TI and make observations.
101 Questions
Coins in a Circle
Round and round you'll go! Learners watch as different-sized circles fill with coins. They collect data and then make a prediction about the number of coins that will fit in a large circular rug.