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.
Curated OER
NJ HSPA Cluster 4
Pupils engage in a instructional activity 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...
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Exploring Infinite Series through Baravelle Spirals
Learners are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations, visualizations,...
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Get Your Numbers in Shape - TI-83
High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...
Curated OER
Converge or Diverge?
Young scholars 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...
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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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Investment Plans
Young scholars explore investment plans. They write the explicit and recursive forms of the sequence of an investment and compare the amount to the continuously compounded interest formula for the same time period, interest and...
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Tower of Hanoi Lesson Plan
Students investigate the Legend of the Tower of Hanoi and complete mathematical problems related to the legend. They play the Tower of Hanoi game online in order to discover the number pattern involved. They solve problems using the...
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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
An Introduction to Sequences
Fourth graders are introduced to arithmetic and geometric sequences. In this mathematics lesson, 4th graders produce a variety of sequences by varying the starting number, multiplier, and the add-on number.
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Multiplicative Sequences
Students investigate the concepts related to the practice of multiplication facts. They look for number patterns in order to create an algorithm in order to find the correct sequencing of number patterning. The solutions are then...
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Fair Shares and Geometric Spirals
Students tackle the problem of how to divide a triangular piece of land fairly among four people. They decide whether their method of fair division always works or if it only works in special cases.
PBS
Toothpicks and Transformations
Students investigate quadratic functions using geometric toothpick designs. They review transformations of quadratic functions-vertical and horizontal shifts, and stretches and shrinks. Students match the symbolic form of the function to...
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Math TODAY Challenge - New Color of Money
Students read about the changes in the "new money" and then create a graph to represent various combinations of currency produced.
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Discovering the Linear Relationship between Celsius and Fahrenheit
Students discover the linear relationship between degrees Farenheit and degrees Celsius. They manually compute the slope and y-intercept of the line passing through points. They convert Celsius to Fahrenheit degrees.
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Investing
Students collect data on investments and draw conclusions. In this algebra lesson, students analyze exponential graphs as they relate to money. They discuss the cause of an account balance being high or low.
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Rotation Sensor Challenge
Students participate in a challenge to construct a rotation sensor with the highest degree of accuracy and repeatability. They conduct computer analysis of their sensor using repeated trial.
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.
Curated OER
Confusing Colors!
Fourth graders collect data, graph their data, and then make predictions based upon their findings. They's interest is maintained by the interesting way the data is collected. The data collection experiment is from the psychology work of...