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### The Area of Things ...

Pre-K-2

Students have opportunities to recognize and use the attributes of length and area using non-standard units. ### Grouchy Lessons of Time

Pre-K-2

This lesson provides an introduction to and practice with the concept of time. The activities focus students’ attention on the attributes of time and enables students at varying levels to develop knowledge and skills in using time. ### Block Pounds

Pre-K-2

Students explore the use of variables as they solve for the weights of objects using information presented in pictures. They model situations that involve adding and subtracting whole numbers, using objects, pictures, and symbols.### Tangram Puzzles

Pre-K-2

In this activity, students choose a picture and use all seven tangram pieces to fill in the outline. They describe and visualize what figures look like when they are transformed through rotations, reflections, or translations, and are put together or taken apart in different ways. This activity helps students to develop their spatial memory and spatial visualization skills, to recognize and apply transformations, and to become more precise in their use of vocabulary about space. Students use an internet-based tool to explore tangram puzzles.### Eye to Eye

Pre-K-2

Students learn to pose mathematical questions about themselves and their surroundings through class. They gather data about eye color from their classmates and another class within their school. They organize this data to answer questions.### Baby Weight

Pre-K-2

In this lesson, students work with data to complete an organized chart by doubling or halving numbers. Then, they compare data using vertical and horizontal bar graphs.### How Big is Your Heart?

Pre-K-2

This lesson emphasizes the connections between science and mathematics
by using a performance, or authentic, assessment format. Students have
the opportunity to explore applications involving their own heart. This
lesson was adapted from the article, "Ideas: The Beat of Your Heart,"
by Lisa M. Passarello and Francis (Skip) Fennell, which appeared in *The Arithmetic Teacher*Vol.39, No.6 (February, 1992) pp. 32-39.

### Keeping in Balance

Pre-K-2

In this lesson for grades 1‑2, students balance pairs of like and
unlike objects by changing distance from the fulcrum. Students use a
crayon (as the fulcrum) and a ruler to represent the balance.### Finding the Balance

6-8

In this lesson for grades 6‑8, students participate in activities in
which they focus on patterns and relations that can be developed from
the exploration of balance, mass, length of the mass arm, and the
position of the fulcrum. The focus of this lesson is the relationship
between the length of the arm and the mass of the objects.### How Many Steps?

Pre-K-2

In this lesson, students participate in activities to develop concepts of measurement and statistics. Students are asked to measure distances using non-standard units and to record their measurement in a bar graph. Then they are asked to make comparisons using the bar graph.