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In 8th grade, students analyze, create and represent linear and simple non-linear functions in multiple ways to make connections between them, including mathematical concepts related to bivariate data and Pythagorean Theorem, and “real-world” situations like those arising from two & three dimensional space.
Essential Standards
and approximate them by rational numbers. (DOK Levels 1, 2)
and approximate them by rational numbers. (DOK Levels 1, 2)
volume of cylinders, cones, and spheres. (DOK Levels 1, 2)
volume of cylinders, cones, and spheres. (DOK Levels 1, 2)
8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
There are no sub-standards for this standard.
8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., pi^2).
For example, by truncating the decimal expansion of √2 show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
There are no sub-standards for this standard.
8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real–world and mathematical problems in two and three dimensions.
There are no sub-standards for this standard.
8.G.B.6 embed as conceptual understanding of 8.G.B.7 Explain a proof of the Pythagorean Theorem and its converse.
This standard was not been identified as "essential" by the design team; however, it is important for conceptual understanding of the Pythagorean Theorem so it could be taught as the foundation of 8.G.B.7.
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Supporting Standards
8.G.B.6 embed as conceptual understanding of 8.G.B.7 Explain a proof of the Pythagorean Theorem and its converse.
This standard was not been identified as "essential" by the design team; however, it is important for conceptual understanding of the Pythagorean Theorem so it could be taught as the foundation of 8.G.B.7.
8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
This supporting standard could be done as application of 8.G.B.7.
8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal
expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion, which repeats eventually into a rational number.
There are no sub-standards for this standard.
A-SSE.B Write expressions in equivalent forms to solve problems.
This is a high school standard. It is indcluded in the unlikely event you have time to extend learning to an ALD Level 4 understanding of 8th grade, "solve binomial quadratic and cubic equations, and represent the solution as a square or cube root, respectively."
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