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Toothpick squares
Students state the general rule for a practical situation. They describe a continuing pattern. They use toothpicks to help visualize the problem and answer it correctly.
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Paper Pool
Students analyze the measurements of rectangles. In this analysis lesson, students will investigate patterns by looking at ratios. Students will also hypothesize the probability of a ball going into a certain pocket when playing pool....
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Sunrise/Sunset
Students apply data from a weather-related website to predict patterns in the sunrise and sunset.
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Rows of Numbers
Students generate patterns from a structured situation, find a rule for the general term, and express it in words and symbols. They also devise and use problem solving strategies in a systematic way.
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Where Do Fish Live in the Hudson?
Students explore the environmental factors that influence where fish live and determine the makeup of fish communities in the Hudson. They interpret guided observations and measurements to assess patterns, sequences and relationships.
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Investigating Exponents
In these exponents worksheets, 7th graders complete a table for numbers one through ten and their eight exponents. Students then examine the units digit of the entries in each table. Students look for patterns.
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Fish Communities in the Hudson
Students use tables of fish collection data to draw conclusions about where fish live in the Hudson Estuary. Given available data they interpret organized observations and measurements and recognize simple patterns, sequences, and...
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Chessboard Challenge
Second graders read "The King's Chessboard" by David Birch. The teacher reads the story aloud and pauses at several points for students to calculate the next number in a pattern of doubling.
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Graphs
Learners graph ordered pairs to model the relationship between numbers. After observing the patterns in ordered pairs, they describe the relationship, and create graphs from a data table. Students describe intervals in the graph, and...
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Counting By 5s
Second graders count by 5's to 100. In this math lesson plan conducted on the 100th day of school, 2nd graders use picture stamps in the KidPix program to count by 5's and get to 100.
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You Gotta Have Heart
Ninth graders investigate the concept of relations and interpret graphs and tables. They analyze given data and look for a pattern to determine if the numbers represent a function. Students practice solving scientific word problems that...
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Word Problem Solving Strategies
In this word problem strategy worksheet, students solve and complete 11 different steps related to solving a given word problem that includes a growing pattern. First, they determine what is needed and what information is important in...
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Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
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Jackson's Consecutive Numbers
Students generate patterns from a structured problem, finding a rule for the general term, and expresses it in words and symbols. They then devise and use problem solving strategies to explore situations mathematically.
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Locating the Salt Front
Learners use Hudson River salinity data to create a line
graph that shows the location of the salt front, and use math
skills to explore how this location varies over time. They use the graph to estimate the location of the salt front...
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One Square Foot
Young scholars identify, describe, count, tally, and graph life found in one square foot of land.
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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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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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Pythagorean Theorem Investigation
Eighth graders investigate the Pythagorean Theorem and practice applying the theorem to various triangles. Finally, in the next lesson in the sequence, 8th graders create a song or a story to help them remember the Pythagorean Theorem.
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"BATS on Parade" by Kathi Appelt
Middle schoolers correctly express and interpret mathematical facts, concepts, and procedures in symbolic, verbal and graphical form. They use a table to organize information.
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Finding the Salt Front
Students discuss definitions of estuary, salinity, and the salt front. They listen as the teacher explains the Hudson River Miles and ways the upriver and downriver sections relate to the north and south. Students graph the salt front...
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Virtual Field Trip/ Gasoline Cost
Young scholars complete a word problem to determine the cost of gasoline per mile of their virtual field trip. They determine the travel time and gasoline costs for two routes and record the information on a data sheet. They check their...
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Free Cell
Fourth graders use algebra to begin solving a problem. The problem has a real world application to engage learners. The main skill is converting fractions and decimals. Also finding the right number sentence for the word problem is...
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Time Problems
Pupils make sensible estimates and check for reasonable results. They also solve problems with positive and negative integers using practical activities or models as needed.