Mathematics 8
Outcomes:
Demonstrate understanding of the square and principle square root of whole numbers concretely or pictorially and symbolically. ([CN, ME, R, T, V])
Expand and demonstrate understanding of percents greater than or equal to 0% (including fractional and decimal percents) concretely, pictorially, and symbolically. ([CN, PS, R, V])
Demonstrate understanding of rates, ratios, and proportional reasoning concretely, pictorially, and symbolically. ([C, CN, PS, R, V])
Demonstrate understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially, and symbolically. ([C, CN, ME, PS])
Demonstrate understanding of multiplication and division of integers concretely, pictorially, and symbolically. ([C, CN, PS, R, V])
Outcomes:
Demonstrate understanding of linear relations concretely, pictorially (including graphs), physically, and symbolically. ([CN, ME, PS, R, T, V])
Model and solve problems using linear equations of the form:
• \$ax = b\$
• \$x/a = b, a ≠ 0\$
• \$ax + b = c\$
• \$x/a + b = c, a ≠ 0\$
• \$a(x + b) = c\$
concretely, pictorially, and symbolically, where a, b, and c are integers. ([C, CN, PS, V])
Outcomes:
Demonstrate understanding of the Pythagorean Theorem concretely or pictorially and symbolically and by solving problems. ([CN, PS, R, T, V])
Demonstrate understanding of the surface area of 3-D objects limited to right prisms and cylinders (concretely, pictorially, and symbolically) by:
• analyzing views
• sketching and constructing 3-D objects, nets, and top, side, and front views
• generalizing strategies and formulae
• analyzing the effect of orientation
• solving problems.
([CN, PS, R, T, V])
Demonstrate understanding of volume limited to right prisms and cylinders (concretely, pictorially, or symbolically) by:
• relating area to volume
• generalizing strategies and formulae
• analyzing the effect of orientation
• solving problems.
([CN, PS, R, V])
Demonstrate an understanding of tessellation by:
• explaining the properties of shapes that make tessellating possible
• creating tessellations
• identifying tessellations in the environment.
([C, CN, PS, T, V])
Outcomes:
Analyze the modes of displaying data and the reasonableness of conclusions. ([C, CN, R])
Demonstrate understanding of the probability of independent events concretely, pictorially, orally, and symbolically. ([C, CN, PS, T])