Illustrative Mathematics
The Djinni’s Offer
The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...
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Code Breakers
Young scholars collect data and make a frequency table, change ratios into percents, and analyze data to make predictions.
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Investigation - Looking For Triangles
Seventh graders investigate a series of triangles, looking for patterns and generalizing what they have found. They analyze the pattern data and organize it into a table and graph. Students identify the relationship and discover the rule...
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MP3 Purchase Plans
Use algebra to solve real world problems. Mathematicians practice use of graphs, tables, and linear functions to solve a problem regarding mp3 purchase plans. They work in groups to solve the problem and present their findings and...
National Research Center for Career and Technical Education
Hospitality and Tourism 1: Safety and Sanitation
Math and science come alive in this career-related lesson on sanitation. Along the way, learners explore bacterial growth rates using exponential notation and graphs. A link to a very brief, but vivid video shows just how quickly these...
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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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Is the Hudson River Too Salty to Drink?
Students explore reasons for varied salinity in bodies of water. In this geographical inquiry activity, students use a variety of visual and written information including maps, data tables, and graphs, to form a hypothesis as to why the...
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Pythagorean Theorem Spreadsheet
Studetns use a spreadsheet to organize data on the sides of a triangle. They use the Pythagorean Theorem and the If then spreadsheet function to decide whether the three sides determine a right triangle. Young scholars work individual...
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Reading Graphs
Students practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
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Reading Graphs
Students plot functions on the Cartesian coordinate plane. They explore lines and parabolas. Students analyze graphs and answer questions about the information presented on the graph using an online program.
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Discovering Pi
Young scholars develop a formula that describes the functional relationship of the circumference of a circle to its diameter. Working with a partner, they measure the diameter and circumference of circular objects in order to discover...
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Graphing the Daily Revenue of Miami Seaquarium
Seventh graders compile a table of the revenues of the 8 eateries (a combined total), Main Gate admissions, and the Gift Shop.
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Introduction to Arithmetic and Geometric Sequences
Learners examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Learners practice determining the starting values to use in order to produce a desired sequence.
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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.
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Impossible Graphs
Middle schoolers distinguish between possible and impossible graphs of functions, and to learn why some graphs are impossible. They have practiced plotting functions on the Cartesian coordinate plane
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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.
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
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Play It
There are a number of activities here that look at representing data in different ways. One activity, has young data analysts conduct a class survey regarding a new radio station, summarize a data set, and use central tendencies to...
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EXCEL It!
Students surf the Web gathering information about graphs. The data collected is incorporated into an Excel spreadsheet and graphs of varying nature generated to further enhance student understanding.
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How Tall is that Tree?
Students apply their math skills to develop an accurate estimate of the height of a tall tree. Three different methods are outlined. All grade levels should be able to perform the shadow method and the proportional method.
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Hybrid Vehicles: Cut Pollution and Save Money
Students examine how driving a hybrid car can save money and cut down on pollution. In this hybrid vehicles lesson students complete an exercise that shows them how to work with proportions, percents, dimensional analysis and linear...
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Choose or Lose: The Electoral Process
Pupils examine the local and national election process. In groups, they brainstorm a list of the issues important to them and compare them to an overall list of issues present in the election. They analyze graphs and complete...
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Virtual Field Trip
This hands-on resource has future trip planners analyze graphs of mileage, gasoline costs, and travel time on different routes. While this was originally designed for a problem-solving exercise using a Michigan map, it could be used as a...
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Interpreting and Displaying Sets of Data
Students explore the concept of interpreting data. In this interpreting data lesson, students make a line plot of themselves according to the number of cubes they can hold in their hand. Students create their own data to graph and...