In 8^{th} grade, students are introduced to and focus on several new mathematical concepts including: linear equations, functions, the Pythagorean Theorem, and volume, all of which are further described and defined below. In particular, students solve equations as applied in real-world ways to equip them with skills that may be practically useful and to understand the importance of math in their own lives.
In order to build math skills, your 8^{th} grader:
- Solves linear equations, which are equations that make a straight line when graphed and are expressed as y = mx + b.
- Uses linear expressions to compare data that has two variables.
- Compares the lines graphed by two linear expressions and determines whether they are parallel, intersecting, or the same.
- Understands that there are rational and irrational numbers.
- Solves equations with integers that are whole numbers, both positive and negative.
- Solves equations with radicals that are “roots,” such as square roots.
- Understands, compares, and solves equations with functions that are usually expressed as f(n) and represent the relationships between an input and an output.
- Learns the concept of congruence (equal length) and similarity (when two objects have the same angles and are proportionate) through the use of models, transparencies, or software.
- Understands and solves equations using the Pythagorean Theorem: a^{2} +b^{2} = c^{2}
- Solves equations about the volume of cylinders, cones, and spheres, specifically as applied in real-world ways.
- Provides the thinking behind and the reasoning for how problems are solved; critiques others’ reasoning.