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Algebra

From Fish Food to Pictures to Symbols

Pre-K-2
Students build upon their understanding of greater than, less than, and equal to by observing quantities and making comparisons using various instructional materials. The fish cut-out, with its mouth open, represents the greater than or less than symbol; the clam cut-out represents the equal to symbol. Using fish lips as a transition point, students will apply their understanding of greater, less, and equal to the standard symbols (>, <, =) as you introduce symbolic notation at a developmentally appropriate level.
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Data Analysis and Probability

Alike and Different

Pre-K-2
This lesson focuses on the observation of properties and the classification of objects to build ideas about variables. Students compare objects to identify similarities and differences. In addition, students are introduced to Venn Diagrams.
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Data Analysis and Probability

Naming Rows and Columns

Pre-K-2
In this lesson, the teacher models how to organize data and use the vocabulary associated with collecting, organizing, and displaying data. Students learn the difference between rows and columns, how to label and select a title for graphs, and what comparative terms to use to describe relationships between and among the various sets of buttons.
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Data Analysis and Probability

Show and Tell

Pre-K-2
This lesson allows students to describe their graphs using appropriate vocabulary and to develop skills in posing and responding to questions about their graphs. Students also demonstrate an understanding of how to organize and interpret data. In addition, this lesson helps students move from the concrete through pictorial to abstract representations of displays of data, namely a graph.
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Measurement

My Pet

Pre-K-2
In this lesson, students develop and use spatial relationships and spatial memory by creating a map of a pet. The students use visual and spatial skills, measure with nonstandard units, and describe "trips" around their pet using directional and positional words.
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Measurement

Puzzling Relationships

Pre-K-2

Puzzles provide excellent opportunities for students to apply spatial relationships in an entertaining and meaningful way. In the first part of this lesson, the students use concrete materials to develop the skills needed to work with interactive tangram puzzles in the second part of the lesson. The students also further develop their understanding of spatial relationships and develop problem-solving skills.

Once students complete puzzles using concrete materials, introducing them to virtual puzzles enables them to experience turns, rotations, slides, and spatial relationships in a powerful way. These transformations are more apparent in a virtual environment than when using concrete tools.

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Measurement

Measuring Me

Pre-K-2
Students use yarn to measure lengths such as arm span and height. This gives the students practice measuring with nonstandard units. Pairs of students also compare their height and arm spans. They practice problem-solving and reasoning skills by discussing why there are similarities and differences between the lengths of yarn that represent arm spans and height.
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Number and Operations

Frogs on a Log

Pre-K-2
Students learn their first basic addition facts as they make the connection between counting and finding one more than a number. Students will manipulate frogs on a number line to represent adding 1 to a number.
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Number and Operations

How Many Letters Are in Your Name?

Pre-K-2
Students review numbers 1 to 10 by counting the number of letters in their names and their classmates' names. They also write and order numbers. The class compiles students' finished product in a class book.
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Number and Operations

Spiders Have 8 Legs

Pre-K-2
Students represent number eight in writing and with a variety of manipulatives. They will construct sets of 8 by cutting 8 strips of paper and counting 8 pretzel sticks that represent spider legs. They will also use 8 plastic spiders to show 8 with a ten frame and count on from a given number to make 8.