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Lesson Plan
Curated OER

Wallflowers: Adding and Multiplying Integers

For Teachers 8th - 10th
Students solve word problems in which they add, subtract, multiply, and/or divide integers, identify rules and patterns for multiplying and dividing integers, create scenarios that represent each expression, and evaluate expressions.
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Worksheet
Curated OER

Exam One Review

For Students 12th - Higher Ed
In this secondary mathematics worksheet, students solve problems that involve patterns, arithmetic and geometric sequences, geometric logic and reasoning, and changing bases.  The three page worksheet contains fourteen problems.  Answers...
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Lesson Plan
Curated OER

Finding Remainders in Pascal's Triangle

For Teachers 5th - 6th
Young scholars use clock arithmetic to find remainders. In this patterns in math lesson, students explore the relationship between clock arithmetic and remainders using a computer applet. Young scholars also identify patterns in Pascal's...
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Lesson Plan
Curated OER

Practicing Arithmetic

For Teachers 9th - 12th
Students 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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Lesson Plan
Curated OER

Finding The Sum of an Infinite Series

For Teachers 9th - 12th
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...
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Lesson Plan
Illustrative Mathematics

The Stamp Collection

For Teachers 3rd - 4th Standards
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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Lesson Plan
Curated OER

Fabulous Fractals

For Teachers 5th - 8th
Students 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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Lesson Plan
Curated OER

Number Theory

For Teachers 8th - 12th
Learners explore the concept of number theory. They discuss an assortment of number theory topics such as prime numbers, composite numbers, GCF, modular arithmetic, and others in a lecture style discussion. Pupils view videos about these...
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Lesson Plan
New Zealand Ministry of Education

Properties of Operations

For Teachers 3rd - 4th Standards
Learners consolidate and extend understanding of simple properties of the four arithmetic operations. They use these properties as an aid to easy calculation. They discover and use some more complex properties of addition, subtraction,...
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Worksheet
Curated OER

Do Now - Handshake

For Students 9th - 12th
In terms in a sequence instructional activity, students solve 6 short answer problems. Students find the next term in a sequence given a sequence in block-form and integer form.
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Lesson Plan
Curated OER

Arithmetic Chains

For Teachers 8th - 10th
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.
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Lesson Plan
EngageNY

Recursive Formulas for Sequences

For Students 9th - 10th Standards
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 recursive formulas.
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Lesson Plan
Curated OER

NJ HSPA Cluster 4

For Teachers 9th - 12th Standards
Pupils engage in a lesson that is focused upon helping them to complete exercises used to prepare for the High School Proficiency Assessment. They look at the patterns seen in algebraic problems and focus upon the cluster areas of...
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Worksheet
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Curated OER

Sequences

For Students 9th - 11th
In this algebra instructional activity, students 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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Worksheet
Curated OER

Recursively Defined Sequesnces

For Students 10th - 11th
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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Worksheet
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Curated OER

Geometric Sequences and Series

For Students 9th - 11th
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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Lesson Plan
Curated OER

Writing Equations Mixed Review

For Teachers 9th - 10th
Students write equations based on a pattern. In this algebra instructional activity, students calculate the arithmetic and geometric mean of a sequence. They rewrite word problems as a linear equation and solve real life scenario based...
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Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

For Teachers 6th - 8th
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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Lesson Plan
Curated OER

Geometric Fractals and the Chaos Game

For Teachers 8th - 10th
Young scholars 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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Lesson Plan
Curated OER

Converge or Diverge?

For Teachers 11th - 12th
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...
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Lesson Plan
EngageNY

The Division of Polynomials

For Students 10th - 12th Standards
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.
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Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
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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Lesson Plan
Curated OER

The Function Box

For Teachers 3rd - 12th
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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Lesson Plan
Curated OER

Beetle Wheels

For Teachers 2nd
Second graders link the development of skip-counting patterns to bars on a relationship graph. They also plot our skip-counting patterns on a hundred's board, counting by 2's and also by 4's.

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