In this lesson, students determine a linear function given a verbal description of a linear relationship between two quantities. Students interpret linear functions based on the context of a problem. Students graph linear functions by constructing a table of values, plotting points, and drawing the line.

In this lesson, students determine the area of composite figures and of missing regions using composition and decomposition of polygons.

For this lesson, students determine the distance between two points on a coordinate plane using the Pythagorean Theorem.

In this lesson, students determine the surface area of three-dimensional figures, including both composite figures and those missing sections.

In this lesson, students determine the surface area of three-dimensional figures, those that are composite figures and those that have missing sections.

For this lesson, students know how to determine the volume of a figure composed of combinations of cylinders, cones, and spheres.

In this lesson, students use the formula V = bh to determine the volume of a right prism. Students identify the base and compute the area of the base by decomposing it into pieces.

In this lesson, students present informal arguments as to whether or not two triangles are similar. Students practice finding lengths of corresponding sides of similar triangles.

In this lesson, students understand that when one group is randomly divided into two groups, the two groups’ means differ just by chance (a consequence of the random division). Students understand that when one group is randomly divided into two groups, the distribution of the difference in the two groups’ means can be described in terms of shape, center, and spread.

In this lesson, students differentiate between a population and a sample. Students differentiate between a population characteristic and a sample statistic. Students investigate statistical questions that involve generalizing from a sample to a larger population.

In this lesson, students know that dilations map circles to circles and ellipses to ellipses with the same shape. Students know that to shrink or magnify a dilated figure back to its original size from center O with scale factor r you must dilate the figure by a scale factor of 1/r.

Students review properties of basic rigid motions, understanding the properties of dilations and that a dilation is an example of a transformation of the plane.

Students verify experimentally that the dilation of a figure from two different centers by the same scale factor gives congruent figures. These figures are congruent by a translation along a vector that is parallel to the line through the centers.

This lesson looks back at the graphs students previously studied as an introduction to this module. Students are also asked to interpret what a graph communicates. They are reminded that a graph is not only a representation of data but also a summary of a data story. Each of the graphs presented in the exercises are encountered in the lessons that follow in this module. This lesson asks students to start thinking about what the data indicate, how they might have been collected, and what they tell us.

In this lesson, students recognize that division is the reverse process of multiplication, and that integers can be divided provided the divisor is not zero. If p and q are integers, then - (p/q) = -p/q = p/-q . Students understand that every quotient of integers (with a non-zero divisor) is a rational number and divide signed numbers by dividing their absolute values to get the absolute value of the quotient. The quotient is positive if the divisor and dividend have the same signs and negative if they have opposite signs.

In this lesson, students create a dot plot of a given data set. Students summarize a given data set using equal length intervals and construct a frequency table. Based on a frequency table, students describe the distribution.

In this lesson, students draw a coordinate plane on graph paper in two steps: (1) Draw and order the horizontal and vertical axes and (2) Mark the number scale on each axis. Given some points as ordered pairs, students make reasonable choices for scales on both axes, and locate and label the points on graph paper.

In this lesson, students draw triangles under different criteria to explore which criteria result in many, a few, or one triangle.