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Recursion: Smaller Sibling Pyramids
Get siblings to do your work. Scholars learn how to perform summations of arithmetic sequences in an innovative lesson. They use iterations, smaller siblings (tail-end recursion), and the divide-and-conquer approach.
Curated OER
Composition of Functions
In this composition of functions worksheet, students solve and complete 7 different problems related to various functions. First, they define a function, its domain and range, and also the composition of functions. Then, students solve...
Curated OER
Introduction to Fractals: Infinity, Self-Similarity and Recursion
Young scholars think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is...
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Introduction to Fractals: Geometric Fractals
Students 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. Students complete worksheets based on Geometric Fractals.
Curated OER
Introduction to Fractals: Geometric Fractals
Learners explore the concept of fractals. For this fractals lesson, students discuss Sierpinski's Triangle using an applet. Learners discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
Curated OER
The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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Sequences and Series
In this sequences and series worksheet, 11th graders solve and complete 10 different problems that include identifying various sequences and series. First, they find the first six terms of each sequence. Then, students determine the...
Agile Mind
Isabella’s Credit Card
An in-depth activity that involves a real-world problem about credit card debt. Learners are given a scenario in which Isabella plans to stop using her credit card and pay off the balance by paying a fixed amount each month. The first...
Curated OER
The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...
Curated OER
Introduction to Arithmetic and Geometric Sequences
Pupils examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Pupils practice determining the starting values to use in order to produce a desired sequence.
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Trout Pond
Students demonstrate the use of iteration, recursion and algebra to model and analyze a changing fish population. They use graphs, equations, tables, and technological tools to investigate the effect of varying parameters on the...
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Properties of Fractals
Learners build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
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Irregular Fractals
Students study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
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Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
Systems of Equations and Inequalities
This is a comprehensive activity on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world...
National Security Agency
Systems of Equations and Inequalities
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual representations, and...
Curated OER
Roman Bernardo: Solving Linear Equations
Mathematicians use an inquiry method to solve linear equations. In this linear equations lesson, young scholars practice solving equations using addition, subtraction, multiplication and division. They solve multi-step equations and...
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NJ HSPA Cluster 4
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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Finding Patterns in Tiles
Students explore perimeter and area of rectangles. In this rectangular lesson, students use tiles to discover the formulas for perimeter and area. Students solve for area.
Curated OER
Math Morphing Proximate and Evolutionary Mechanisms
High schoolers identify the different types of fractals. In this geometry lesson plan, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
Curated OER
The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.