Unit 3

Rational Numbers

Math

Unit Length and Description:

25 days

In this unit students begin the study of negative numbers, their relationship to positive numbers, and the meaning and uses of absolute value.  Students understand that all numbers have an opposite, and that a number and its opposite are equidistant from zero.  Students will use the number line to order rational numbers and understand the absolute value of a number. Students will also begin work with the Cartesian coordinate system.  They identify the four quadrants and can identify the quadrant for an ordered pair based on the signs of the coordinates.  Students will also solve real-world and mathematical problems using all four quadrants of a coordinate plane.

Standards:

Enduring Understandings:

·        Numeric fluency includes both the understanding of and the ability to appropriately use numbers.

·        A quantity can be represented numerically in various ways.

·        The symbolic language of algebra is used to communicate and generalize the patterns in mathematics.

·        Coordinate geometry can be used to represent and verify geometric/ algebraic relationships.

Essential Questions:

·        What is the meaning of positive and negative numbers and zero in real-life situations?

·        How can I compare rational numbers on a number line?

·        How do you find value of an integer on the number line?

·        How can you write and graph positive and negative integers?

·        How does absolute value relate to distance on a number line?

·        How can you plot points on a coordinate plane?