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Principles and Standards for School Mathematics

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Return to Mathematics Goals
National Mathematics Goal:
Create and use representations to organize, record, and communicate mathematical ideas
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1
Numerical and Categorical Data: Categorical Data
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ORC# 391
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L368
Resource Type: Instructional Resource -- Best Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades 3–5
Professional Commentary: Students represent simple categorical data in two ways. They investigate what colors are the eyes of the students in the class....
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2
Wet Heads
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ORC# 275
Resource Information
Resource URL: http://www.pbs.org/teachers/mathline/lessonplans/msmp/wetheads/w...
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades 6–8
Professional Commentary: Students first estimate the number of drops of water that will fit on the head of a penny. The teacher engages the class in a discussion on how to organize and display data in a stem and leaf plot....
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3
Latisha Develops an Investment Plan
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ORC# 3608
Resource Information
Resource URL: http://www.hsor.org/modules.cfm?name=Latisha_Develops_an_Investm...
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades 8–12
Professional Commentary: Students are introduced to integer programming through practical problems in which they formulate decisions using 0-1 variables, by entering these integer variables into a decision matrix in a spreadsheet and manipulating the spreadsheet to evaluate alternative decision combinations. Activity sheets guide students step by step through the basic process....
Career Fields: Business & Administrative Services, Finance
Projects: Standards First
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4
The Magic Box: Patterns/Relationships
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ORC# 323
Resource Information
Resource URL: http://www.pbs.org/teachers/mathline/lessonplans/esmp/magicbox/m...
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades PreK–2
Professional Commentary: Students are immersed in a variety of activities that give them experience in recognizing, describing, and extending repeating and numerical patterns. Students begin the lesson by describing patterns they find in the classroom....
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5
Eye to Eye
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ORC# 26
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L169
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades PreK–2
Professional Commentary: Primary students collect data on the color of the eyes of the students in the class. After analyzing the data (most common color, what do most boys/girls have, etc.), students extend the activity by collecting data in another class....
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6
Chances Are - Part 2 - It's a Mystery to Me
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ORC# 232
Resource Information
Resource URL: http://www.pbs.org/teachers/mathline/lessonplans/esmp/chances/ch...
Resource Type: Instructional Resource -- Best Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades 3–5
Professional Commentary: Students identify the likelihood of an event based on a set of data from mystery spinners. Students extend their understanding of basic probability as they learn to name all of the possible outcomes of an event, as well as ways to express the likelihood of such an event occurring....
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7
Numerical and Categorical Data: Comparing Categorical and Numerical Data
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ORC# 393
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L370
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades 3–5
Professional Commentary: Students compare categorical and numerical data by identifying examples of each, using graphs they created in parts 1 and 2 of this unit. Students first analyze the appearance of the two graphs....
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8
Block Pounds
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ORC# 1127
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L167
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades PreK–2
Professional Commentary: Students explore the use of variables as unknowns as they figure out the weights of objects using information presented in pictures. They also model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols....
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9
Finding Your Way Around
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ORC# 1166
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L280
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades 3–7
Professional Commentary: This lesson plan provides a wealth of ideas for introducing Cartesian coordinates to students. The teaching activities are organized around two major themes: finding one's way around in the plane and understanding how ordered pairs represent two variables that are changing simultaneously. Students use a city map to locate well-known landmarks.  They learn to navigate two-dimensional space with online applets displaying the coordinate...
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10
Introduction to Fractions for Primary Students
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ORC# 1481
Resource Information
Resource URL: http://mathforum.org/varnelle/knum.html
Resource Type: Instructional Resource -- Promising Practice
Discipline: Mathematics
Ohio Standards Alignment: Grades K–2
Professional Commentary: This 4-lesson unit introduces young children to fractions. Students learn to recognize equal parts of a whole and divide a whole into equal parts....
Projects: COR
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