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Ratios, Rates & the Number System
Unit rates, tape diagrams, fractions, decimals, and the number line
Geometry
Scale, angles, circles, surface area, volume, and cross-sections
Pythagorean Theorem
Right triangles, $a^2+b^2=c^2$, the converse, and ladder or field diagonals
Volume of Cylinders, Cones & Spheres
Rain barrels, funnels, and spherical tanks: $V=\pi r^2 h$, $\frac{1}{3}\pi r^2 h$, and $\frac{4}{3}\pi r^3$
Distance on the Coordinate Plane
Pythagorean legs $\Delta x$ and $\Delta y$, the distance formula, map scales, and polygon perimeters
Transformations & Similarity
Translations, reflections, rotations on the grid, congruence, and scale factor