1

8.2A

extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers

5

8.2B

approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line

4

8.2C

convert between standard decimal notation and scientific notation

11

8.2D

order a set of real numbers arising from mathematical and real-world contexts

5

8.3A

generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation

1

8.3B

compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane

10

8.3c

use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation

4

8.4a

use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y- values to the change in x- values, (y2 - y1 ) / (x2 - x1 ), is the same for any two points (x1 , y1 ) and (x2 , y2 ) on the same line

11

8.4B

graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship

11

8.4C

use data from a table or graph to determine the rate of change or slope and y- intercept in mathematical and real-world problems

4

8.5A

represent linear proportional situations with tables, graphs, and equations in the form of y = kx

3

8.5B

represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0

3

8.5C

contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation

11

8.5D

use a trend line that approximates the linear relationship between bivariate sets of data to make predictions

3

8.5E

solve problems involving direct variation

4

8.5F

distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0

11

8.5G

identify functions using sets of ordered pairs, tables, mappings, and graphs

3

8.5H

identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems

11

8.5I

write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations

5

8.6A

describe the volume formula V = Bh of a cylinder in terms of its base area and its height

3

8.6C

use the Pythagorean Theorem and its converse to solve problems

11

8.7A

solve problems involving the volume of cylinders, cones, and spheres

10

8.7B

use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders

9

8.7C

use the Pythagorean Theorem and its converse to solve problems