6-8
In this lesson, students will integrate science and math, exploring how neutralization reactions can help us understand that the sum of any number and its additive inverse is zero. 3-5, 6-8
Using the online game Deep Sea Duel, students play a card game against Okta. The objective is to choose cards so that some subset of three cards within their hand has a particular sum. Students will play several variations of the game, attempt to identify a winning strategy, and compare the game to other games that they know.
6-8, 9-12
In this lesson, students will adapt expressions that add or subtract two signed integers.
6-8, 9-12
Students will use vertical movement of an elevator to evaluate signed number expressions.
The idea behind the method of adding and subtracting signed integers offered in this lesson and the next is that the number of rules that students have to memorize and the amount of understanding are minimal, while the underlying concepts are not trivialized.
6-8
Students typically learn about the concepts of identity, inverse,
commutativity, and associativity by exploring the four basic operations
(+, –, ×, and ÷) with integers. In this lesson, students investigate
these concepts using a geometric model. Moves are performed with a
rectangle, and the results of an operation that combines two moves are
analyzed. Students determine if the operation is commutative or
associative; if an identity element exists; or if there are inverses
for any of the moves.
6-8
In this lesson, students experience beginning-algebra concepts through
discussion, exploration, and videotaping. The concept of multiplication
of integers is presented in a format which encourages understanding,
not simply rote memorization of facts. This lesson plan is adapted from
the article, "A Videotaping Project to Explore the Multiplication of
Integers", by Marcia B. Cooke, which appeared in Arithmetic Teacher, Vol. 41, No. 3 (November 1993) pp. 170-171.
6-8
This lesson explores magic squares from both a historical and
mathematical perspective. The mathematical analysis leads into symbolic
algebraic representation of the patterns. This lesson is based upon an
article from the April 2001 edition of
Mathematics
Teaching in the Middle School. 6-8
Positive and negative numbers become more than marks on paper when students play this variation of the card game, Rummy. Engaged in a game involving both strategy and luck, students build understanding of additive inverses, adding integers, and absolute value.
