Curated OER
What Is It?
You have to love lessons that foster problem solving strategies. This one has upper graders devise and employ their own strategy to solve given problems after they have used classics like guess/check, substitution, make a table, and look...
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Count on Me
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
Pennsylvania Department of Education
Numbers Are Made of Parts
Children play with barnyard animal cards to practice composing and decomposing numbers. With their "secret number" of animal cards in a cup, they shake and spill them onto a barn story board, counting how many animals fall in the barn...
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Identifying the Patterns
Apple, banana, apple, banana...what's next? Youngsters practice recognizing patterns using these object sequences. For the first four patterns, they examine the start of a set, find the pattern, and complete the subsequent drawings in...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
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Count to 200
Only 1, 2, or 3 of 15 boxes are completed in each of 5 vertical number tracks. Your pupils' challenge is to fill in the rest in sequence. Will require counting backwards; modify with number lines.
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Graphing on the Computer
Students create a bar graph on the computer using given information from the teacher. They create a bar graph using their own information chart (they need to create one on separate paper first). They utilize Microsoft Excel for this...
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The King's Chessboard
Middle schoolers speculate on the better rate of pay: a dollar a day for 10 days, or a penny the first day, two pennies the second, doubling each day for 10 days. Start by listening to the story The King's Chessboard, by David Birch....
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Review of Limits
For this limit worksheet, students review limits stated as an expression, analyze Euler's method applied to a rate equation, compute the terms of a given sequence, and identify a sequence as a convergence or divergence. this four-page...
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Finding The Sum of an Infinite Series
High schoolers examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They...
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Patterns
Fifth graders investigate the use of patterns in a data set. The set is disolayed visually using cubes. This helps struggling students to see the quantity in order to make comparisons more effectively.
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Patterns and Geometric Representations
Students explore patterns and sequences. Given an example of each, they discuss their observations. In groups, students participate in an "Around the World" activity where they rotate to different stations in the classroom to determine...
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Understanding Limits
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page worksheet contains examples and explanations, as well as eleven problems.
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Quiz: What's Before, Between and After?
In this before, between and after worksheet, learners identify numbers in a sequence. They determine the smallest missing number, the largest, and the median. All numbers are comprised of two digits and are in a sequence of one. This...
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Counting from 1 to 10
In this recognizing number sequencing from one to ten worksheet, students observe numbers from one to ten, and use the example to fill in the missing numbers in sequence. Students solve ten problems.
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Worksheet 4.12, Induction
In this math worksheet, students prove given propositions for all integer values of the variable. Students use induction to prove statements true.
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Skip Counting
In this math worksheet, students complete 6 number patterns in which students fill in the missing numbers while skip counting. The addition pattern is already indicated for students. All numbers on the page are between 1 and 35.
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Graphing Coordinates
Sixth graders practice graphing coordinates. In this geometry instructional activity, they use the x and y axis to locate points that must be connected in the right sequence to form a straight line.
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Order O Order Two-Digit Numbers to 100
In this ordering numbers worksheet, students solve 12 problems in which the missing number in a sequence is filled in. Students use the number lines to determine the number what comes before, between or after.
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Continue Each Pattern
In this number pattern instructional activity, students solve 10 problems in which a sequence of 7 numbers is analyzed and the pattern determined. Students continue each pattern with the next two numbers.
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Look for Patterns
In this number pattern worksheet, 3rd graders focus on sequencing. Students must study the number chart and respond to 3 short answer questions about the patterns that are shown in the chart.
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Arithmetic Series
In this arithmetic series learning exercise, students identify the first three terms in a given arithmetic series and find the sum of an arithmetic series. This two-page learning exercise contains 18 problems.
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Counting Worksheet
For this counting worksheet, students complete 3 different sections in which they are asked to count by fives, write in missing numbers in number sequences, and count items on the page and then write the correct number on the blank...
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Count in Steps of 1
In this counting by 1 activity, students complete number sequences, counting by one's in each, 5 total. An answer key and reference website are given.