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Illustrative Mathematics
How Many _______ Are In. . . ?
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have students use graph paper or...
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Sequences
In this sequences worksheet, students find the limit of a sequence. They explore Ulam's sequence. Students calculate differences for terms in a quadratic sequence. this four-page worksheet contains approximately 20...
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Fractions
Fourth graders practice utilizing math skills by examining fractions. In this number sense lesson plan, 4th graders draw illustrations representing fractions given to them by their teacher. Students describe fractions with...
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Estimating Area
Fifth graders, after being given a variety of word problems to solve, find patterns to solving 3 out of 4 times. They break it down into smaller parts 3 out of 4 times and tell the method of solving 3 out of 4 times. Students complete...
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Function Machine
Second graders decipher a pattern using input and output. In this functions lesson, 2nd graders use input and output numbers to find a pattern involving addition and subtraction. Students use the pattern they discovered to help solve...
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Counting Pills
Young scholars are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.
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Using Representations to Model Problems
student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...
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Bubblegum balls
Students look for patterns to solve problems involving statistics using different colored gumballs. They should be able to look for and find out all the possible outcomes based upon inference and trials.
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Problem Solving in Mathematics
Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.
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Toothpick squares
Pupils 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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Triangular Numbers
Students are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.
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The Farmer's Sheep II
Fourth graders listen to the story of a farmer who only likes to be able to see nine sheet from his window. His wife has brought him another sheep - what now? They work together in pairs to solve the problem and share solutions.
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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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The Basketball Tournament
Pupils estimate how many games are played if six teams play each other once. They investigate their own way and discuss possible strategies they might use. They then share their findings with the class.
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The Topsy-Turvy Twins
Fourth graders read the problem and brainstorm for ways to solve the problem - list these on the board for the students to refer to as they solve the problem. They work in pairs and focus on the strategy selected.
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Tetrominoes Cover-Up
Third graders are given square tiles and participate in a demonstration on how to arrange them. Using the tiles, they work with a partner to discover how many two-dimensional tetrominoes they can create. To end the lesson, they must...
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QwikQure Algebra
Fourth graders are introduced to the problem using a bottle of medicine. They estimate the volume of the medicine and predict the instructions on the bottle. They then think about how they might solve the problem before asking them to...
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Geometry /Tessellations
Students investigate the concept of tessellations and how they are formed using angles. They categorize how different patterns do and not tessellate and separate them into two different places for assessment. The teacher draws examples...
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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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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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Jo's Table
Second graders work on the problem with a partner. They examine what they are supposed to be doing. They share the students's solutions making sure than they are looking for patterns along the diagonals.
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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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Basic Crypto Systems
Students try to solve codes mathematically. The use of a code needs a key. Students try to decipher a code with a mathematical key. This requires focus and higher order thinking skills like analysis.