Linear EquationsStudents extend what they already know about unit rates and proportional relationships to linear equations and their graphs. Students understand the connections between proportional relationships, graphs of lines, and linear equations. Students learn to write, simplify, and solve equations in one variable and then in two variables. Students learn that not every linear equation has a solution.
Students make connections between graphs, equations, charts, and ordered pairs and are able to calculate slope and intercepts from each of them. Students graph simultaneous linear equations to find the point of intersection and then verify that the point of intersection is in fact a solution to each equation in the system. Pythagorean TheoremStudents will practice using the Pythagorean Theorem and its converse to find unknown side lengths in right triangles. Students apply their knowledge of the Pythagorean Theorem to realworld problems that involve twodimensional figures. With the concept of similarity firmly in place, students are shown a proof of the Pythagorean Theorem that uses similar triangles.
Integer Exponents and Scientific NotationStudents build upon their foundation with exponents as they make conjectures about how zero and negative exponents of a number should be defined and prove the properties of integer exponents. These properties are codified into three Laws of Exponents. They make sense out of very large and very small numbers.
Having established the properties of integer exponents, students learn to express a positive number through the use of scientific notation and to compare the relative size of two numbers written in scientific notation. Students explore use of scientific notation and choose appropriately sized units as they represent, compare, and make calculations with very large quantities, such as the U.S. national debt, the number of stars in the universe, and the mass of planets; and very small quantities, such as the mass of subatomic particles. SimilarityStudents learn about dilation and similarity and apply that knowledge the AngleAngle criterion for similar triangles. The module begins with the definition of dilation, properties of dilations, and compositions of dilations. One overarching goal of this module is to replace the common idea of “same shape, different sizes” with a definition of similarity that can be applied to geometric shapes that are not polygons, such as ellipses and circles.
Students describe the effect of dilations on twodimensional figures in general and using coordinates. Building on prior knowledge of scale drawings, they demonstrate the effect dilation has on a figure when the scale factor is greater than zero but less than one (shrinking of figure), equal to one (congruence), and greater than one (magnification of figure). Once students understand how dilation transforms figures in the plane, they examine the effect that dilation has on points and figures in the coordinate plane. Beginning with points, students learn the multiplicative effect that dilation has on the coordinates of the ordered pair. Then students apply the knowledge about points to describe the effect dilation has on figures in the coordinate plane, in terms of their coordinates. Students demonstrate that a twodimensional figure is similar to another if the second can be obtained from a dilation followed by a congruence. Knowledge of basic rigid motions is reinforced throughout the module, specifically when students describe the sequence that exhibits a similarity between two given figures. Students apply their knowledge of proportional relationships and rates to determine if two figures are similar, and if so, by what scale factor one can be obtained from the other. By looking at the effect of a scale factor on the length of a segment of a given figure, students will write proportions to find missing lengths of similar figures. 
Class Notes and Homework Files

Past Due WorkChoice: Play games with math vocabulary at Quizlet.com,  > Search for "FrancescaCrannell" (no spaces)
Week of January 13 Monday: * 20 skill minutes on Khanacademy due 01/21 * 8.4.1 and 3 Homework Set due 01/14 * Test corrections due 01/14 by 3:10PM Tuesday: * Building and Solving Equations (revisited) due 01/15 Wednesday: * 8.4.4 Homework Set due 01/16 Thursday: * 8.4.5 Homework Set due 01/17 Friday: * 8.4.6 Homework Set due 01/21 Week of January 6 Monday: * 20 skill minutes on Khanacademy due 01/13 * 8.P.3 Homework Set due 01/07 Tuesday: * 8.P.4 Homework Set due 01/08 Wednesday: * 8.P Review due 01/09 * 8.P Test on 01/10 Thursday: * none Friday: * 8.4.0 Homework Set due 01/13 Week of December 16 Monday: * 20 skill minutes on Khanacademy due 01/06 * 8.P.1 Homework Set due 12/17 * Test corrections due 12/19 by 3:10PM Tuesday: * 8.P.2 Homework Set due 12/18 Wednesday: * none Thursday: * none Friday: * none Week of December 9 Monday: * 20 skill minutes on Khanacademy due 12/16 * 8.1.11 Homework Set due 12/10 * Test corrections due 12/10 by 3:10PM Tuesday: * 8.1.12 Homework Set due 12/11 Wednesday: * 8.1 Exponents Review due 12/12 * 8.1 Khan Overview due 12/13 (60 minutes since 11/14) * 8.1 Test on 12/13 Thursday: * none Friday: * none Week of December 2 Monday: * 20 skill minutes on Khanacademy due 12/09 * 8.1 Mid Module Test on 12/04 Tuesday: * 8.1.8 Homework Set due 12/05 Wednesday: * Rent due 12/05 Thursday: * 8.1.9 Homework Set due 12/06 Friday: * 8.1.10 Homework Set due 12/09 Week of November 25 Monday: * 20 skill minutes on Khanacademy due 12/09 * 8.1 Mid Module Review due 11/26 * 8.1 Mid Module Test on 12/03 Tuesday: * Thank you note due 12/02 Wednesday: * none Thursday: * none Friday: * none Week of November 18 Monday: * 20 skill minutes on Khanacademy due 11/25 * 8.1.1 Homework Set due 11/19 Tuesday: * 8.1.2 Homework Set due 11/20 Wednesday: * 8.1.3 Homework Set due 11/21 Thursday: * none Friday: * 8.1.4 &5 Homework Set due 11/25 * 8.1 Mid Module Test on 12/03 Week of November 11 Monday: * none Tuesday: * 20 skill minutes on Khanacademy due 11/18 * 8.3.12 Homework Set due 11/13 Wednesday: * 8.3 End of Module Review due 11/14 * 8.3 Similarity Test on 11/15 * 8.3 Khan Overview due 11/14 (40 min since 10/30) Thursday: * none Friday: * 8.1.0 Homework Set due 11/16 