Pre-K-2
Problems such as those in this activity help develop what students already know in preparation for writing equations and learning ways to solve for variables. Students use mathematical models to explore quantitative relationships. When presented with pictures of pan balances with one or more objects in each pan, they communicate relationships between the weights of the objects by comparing the balanced and unbalanced pans.
6-8
This activity uses a series of related arithmetic experiences to prompt
students to generalize into more abstract ideas. In particular,
students explore arithmetic statements leading to a result that is the
factoring pattern for the difference of two squares. A geometric
interpretation of the familiar formula is also included. This lesson
plan was adapted from an article by David Slavit, which appeared in the
February 2001 edition of
Mathematics Teaching in the Middle School.
9-12
As you review student work in this unit, it is important to remember
the mathematical objectives/expectations of this Unit Plan that are
stated in
Principles and Standards for School Mathematics.
9-12
In this lesson, students manipulate a velocity vector to control the movement of a car in a game setting. Students learn that vectors are composed of two components: magnitude and direction.
9-12
This example illustrates how using a dynamic geometrical representation
can help students develop an understanding of vectors and their
properties, as described in the Number and Operations Standard.
Students manipulate a two vectors to control the movement of a plane in
a game-like setting. Students extend their knowledge from the first
lesson to further investigate the system of vectors.
Pre-K-2
Students sort objects and observe the properties others use for sorting. This activity helps students understand and connect many mathematical ideas. By labeling their sorts, students connect number with sets of objects that compose the pattern.
Pre-K-2
Students build on prior knowledge of sorting and classifying when they recognize sorts and name rules for sorting. They identify common properties in the classroom environment and make, explain, and defend conjectures to extend their knowledge.
Pre-K-2
This lesson focuses on elements that constitute a pattern core or unit. Identifying the core element or unit that is repeated is a necessary early concept that students must understand to recognize and create repeating patterns.
Pre-K-2
This lesson accommodates multiple learning styles by having students create patterns using different forms. Students use knowledge and skills in new situations to develop a solid understanding of the process for creating patterns, recognizing pattern sequences, and representing patterns in different ways.
Pre-K-2
This lesson accommodates multiple learning styles by having students create patterns using different forms. Students use knowledge and skills in new situations to develop a solid understanding of the process for creating patterns, recognizing pattern sequences, and representing patterns in different ways, and connecting numbers with patterns.
