7.NS.1b

==== Standard: 7.NS.A.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. ====

- Concept Assessments for this unit- covers Adding Rational Numbers, Subtracting Rational Numbers, Applications of Adding/Subtracting Rational Numbers, and Properties/Opposites/Absolute Value.

[|Vertical Number Line Generator-]This applet generates vertical number lines- you choose the range and the increments. Comes out as a pdf...sample:

[|Horizontal Number Line Generator]- This applet generates horizontal number lines- you choose the domain and the increments.

- introduction problems for adding integers on the number line. Starts with "nice" integers and then uses integers with larger absolute values to encourage students to think about the process rather than just counting on the number line.

- similar to integer activity above, but includes positive and negative fractions. Again starts with numbers that can easily be modeled on the number line but then extends to having students visualize whether the absolute values should be added or subtracted and whether the sum should be positive or negative.

- problems sets for exploring adding positive and negative fractions. Starts with common denominator, includes same signs and different signs, some solutions need to be simplified or expressed as a mixed number. Goes to mixed numbers, and last problems requires borrowing from the whole. I cut these apart and had students work in groups on large dry erase boards, then hung up boards so class could "critique the reasoning of others". - modified from a ny state activity...helps students develop rules for adding rational numbers based on the number line.

- Asks students to find a path through a set of rational numbers that has a given sum. Also has a "blank" problem for students to create their own set of numbers that have a given sum.

- basic number line with integer subtraction problems.