At this point, Jamaal should start to learn the formulas needed to solve for attributes like area, volume, and mass. He should know how to find these attributes for regular and irregular shapes by understanding the formula for simple shapes and applying it to the sections of an irregular shape. Understanding these formulas and why they work and getting a grasp on the more complex vocabulary sets the necessary groundwork for geometry work in higher grades. Students who do not acquire these crucial foundational skills often struggle with geometry down the line. Geographical measurement is strongly focused and students should be able to translate area, volume or mass into simple form like 3ft 9in + 4ft 10in = 8ft 7in. Jamaal should understand this translation using whole numbers, rational numbers (integers, fractions, terminating and repeating decimals) and irrational numbers (non-terminating and non-repeating decimals). Jamaal should have a strong understanding of shapes, angles, faces, sides and vertices. Visual demonstration of formulas is a necessity to make the connection between the formula and the deductive and inductive reasoning that is necessary to progress in high school Geometry.
At the end of 8th grade, Jamaal should be able to solve this geometry problem: A 10-meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder? Round to the nearest tenth.