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Pennsylvania Department of Education
Order, Order
Students use pictures to identify items as ordinal numbers. In this ordinal numbers lesson plan, students use the words "before" and "after" to identify the pictures as well.
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Introduction to Linear Functions
Students are introduced to the basic ideas needed for understanding linear functions.
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Understanding Radios
Fifth graders explore ratios. Using models and real-world scenarios, they complete tables and generate comparisons. Pupils demonstrate multiple ways of writing ratios and describe the differences between ratios.
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Patterns, Functions & Algebra
Students participate in numerous activities and games. In pairs, they play card games to find relationships between a random set of playing cards. After writing samples of Dear Abby letters concerning math problems, students create a...
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More Complicated Functions: Introduction to Linear Functions
Students explore the concept of linear functions. In this linear functions lesson, students translate linear functions from tables to graphs to equations. Students use an applet to write a function rule for a linear function in...
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More Pizzas and Things
Students are introduced to the problem by playing a guessing game of "I am a number, which is half of 6 and 6, what am I?" They explain their answers and see if anyone else had an alternate solution checking for reasonableness.
Worksheets Plus
Place Value Worksheets - Comparing Numbers
Six problems consisting of sets of tens and ones cubes are arranged for aspiring mathematicians to analyze. For each problem, pupils write down the total numbers of cubes and then use < or > to identify which set is the least and...
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World Population Study
Students explore an exponential relationship and how it relates to human population growth and the current global population crisis. They graph both exponential and linear information.
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The Multiplier (2-digit by 2-digit numbers)
Fourth graders Split a 2-digit number into tens and ones. They use The Multiplier to partition and solve 2-digit by 2-digit multiplications. They describe how to solve 2-digit by 2-digit multiplications using a diagram.
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The Multiplier (origin of the algorithm)
Learners explore basic algorithms for addition, subtraction, and multiplication. They use models to demonstrate solving two-digit by two-digit multiplication. Students demonstrate vertical formats to solve multiplication problems.
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How Small is It?
Students better understand what a concentration of one part per million means through activities. Students discuss "Maximum Contaminant Level" of a toxic in the water. They measure the classroom to find out how many cubic centimeter...
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Order Your Numbers
Students examine the order of whole numbers that range from 0 to 1,000. They compare and contrast the quantities of different numbers using the number line, objects, and symbols of comparison. Students also work as a class with cards to...
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Charting and Graphing Sales
Learners analyze graphs, charts and tables. In this data analysis lesson, students practice creating and analyzing charts, graphs and tables corresponding to sales and surveys. This lesson uses data relevant to learners and includes...
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Division with Dividends to 99
In this math worksheet, learners find the answers to the following long division problems. The problems can have remainders.
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Christmas Shopping on the Internet
Young scholars utilize the Internet as a research tool as they "shop" on the Internet for a list of Christmas gifts. In groups, they compare prices, shop for the best price and make sure to spend no more than $300.
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Secret Sequences
Students are exposed to different types of sequences. in this sequencing lesson, students learn about simple sequences, multiplication sequences, declining sequences, the Fibonacci sequence and other sequences.
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Hibernating Hoopla
Students simulate hibernation with their stuffed animals. They predict the length of time of hibernation and type their math journal entries about sorting, graphing and draw pictures. They read bear hibernation stories.
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Long Division in Two Digits
In this math worksheet, students find the solutions to the problems for long division. The answers can be shown in the printable version.
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Squirt
Fourth graders using the idea of "how many more squirts" fill a container to develop multiplicative thinking. They also investigate the idea of conservation of volume when working with oddly shaped containers. They attempt to use...
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Atlatl Lessons Grades 4-12
Students examine motion and how to describe it qualitatively. In this investigative lesson students see how aboriginal people were environmentally responsible.
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Graphs and Functions
Students are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
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Array to Go!
Second graders are introduced to arrays as a means for multiplication readiness. Once students are comfortable with naming the array by counting the columns and rows, they integrate skip counting.
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Toothpicks and Timber
Students problem-solve how to log five acres. Working in pairs, they construct models of logging sites before and after the trees are harvested. they paint their models and include other environmental details.
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Physics: Eigenvalues
Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...