In 8th 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 8th 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: a2 +b2 = c2
- 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.