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High School Mathematics Problems from Alaska: Problem Setup and Pattern Recognition: Sunrise in Barrow, Alaska
Students make predictions using given data, writing a linear equation from given data, and using a linear equation to predict later behavior.
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The Window Problem
Students identify patterns and compute formulas to solve the problems. In this algebra lesson, students come up with a rule given a pattern, and analyze the relationship between data and graphs.
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Move It
Studens collect and graph data. In this algebra lesson, young scholars use a CBL and CBR with a TI Calcualtor to observe linear graphs. They use the correct vocabualry as they discuss the collected data.
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How popular is your favorite site?
Students gather data for the project for the entire year. They plot their data, try to fit a equation to their data, and speculate on why the data shows the pattern it does and project its future growth.
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Interpreting Graphs
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
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Discovering Growth Patterns
Students explain the differences between linear (arithmetic) and exponential (geometric) growth. They use worksheets imbedded in this instructional activity to help them make predicitions and graph data points.
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Graphing Real World Situations
Students solve linear equations using graphs. In this algebra instructional activity, students depict real life situation using lines and functions. They identify the slope, data and predict graphing behavior.
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Swimmy's Friends
Students solve problems using various strategies. In this problem solving lesson, students read the book Swimmy by Leo Lionni. Students make fish swimming patterns, measure how many goldfish crackers it takes to make a handprint and...
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Linear Sequences and Terms
Young scholars identify the nth rule for each sequence. In this algebra lesson, students finish the pattern or sequence and find the missing term. They relate patterns and sequences to the real world.
American Statistical Association
How Tall and How Many?
Is there a relationship between height and the number of siblings? Classmates collect data on their heights and numbers of brothers and sisters. They apply statistical methods to determine if such a relationship exists.
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How Does Your Population Grown?
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
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How Alike Are We?
Fourth graders find the range, mode, median, and mean for each of the data sets (height and shoe size). They discuss which measure of central tendency for each data set best represents the class and why. Students graph the shoe size and...
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Linear Equations
Students discover the equation of a line. They accurately record data collected from the game, "You're On A Roll", create number sentences by rolling dice, and choose their own values for the multiplication and addition steps.
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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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Round and Round and Round We Go!
Students investigate motion using a CBL. In this algebra lesson, students collect and graph data on a coordinate plane. They define and identify amplitude and period of conic graphs.
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Slopey Math
Students identify the slope of a line and use it to solve real life problems. In this algebra lesson, students write linear equations in slope intercept form and make a correlation to its relation to the real world. They use the slope an...
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Means of Growth
Students collect and graph data. In this statistics lesson, students analyze their plotted data using a scatter plot. They identify lines as having positive, negative or no correlation.
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Investing
Learners 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.
National Wildlife Federation
I Speak for the Polar Bears!
Climate change and weather extremes impact every species, but this instructional activity focuses on how these changes effect polar bears. After learning about the animal, scholars create maps of snow-ice coverage and examine the yearly...
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Investigating Correlation
High schoolers investigate different types of correlation in this statistics lesson. They identify positive, negative and no correlation as it relates to their data. They then find the line of best fit for the plotted data.
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Polly and the Shapeshifter
Students analyze the patterns in polygons and relate it to the rate of change. In this algebra lesson, students discuss the relationship between the data and the graph of the data.
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Graphing Linear Inequalities
Eighth graders extend skills for representing and solving linear equations to linear inequalities. Lesson activities build understanding and skill by plotting ordered pairs of numbers that either satisfy or do not satisfy a given...
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Writing Equations Mixed Review
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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Introduction to Scatter Plots and Correlation
Learners examine the concept of scatter plots. They compare baseball statistics to locate the ones that correlate with winning, and identify the positive, negative, and no correlation in sets of data using MS Excel.