May 29, 2014

Age

13

young learner writing maths on the blackboard

May 29, 2014

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.

• 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.
Age 13

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