## Grade 8In Grade 8, students focus on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.
Visit Concept Corner (link) for more resources. username: student password: student ## Homework and Exam Calendar## Scope & SequenceYear-Long Scope & SequenceYear-Long Overview & Pacing Guide 8.1 Analyzing Graphs OverviewIn this unit, students create, analyze, and evaluate graphs. The goal is to proceed deliberately from the concrete to the abstract and slowly formalize the graphing process. 8.2 Roots and Exponents OverviewIn this unit, students learn about square roots and cube roots and how to apply properties of exponents to simplify expressions and solve equations. They learn how to solve problems with very large or very small numbers using scientific notation, and then they extend their knowledge to work with rational and irrational numbers. 8.3 Transformations OverviewEvery day, you see objects that move through space, spin around, or are mirrored images. These are examples of translations, rotations, and reflections—three basic components of transformations. When objects are shrunken or expanded, think model train or billboard image, this is called a dilation. Transformations can also be done to objects on a coordinate plane. They can be moved, rotated, mirrored, or dilated. Triangles are particularly useful objects to transform since triangle similarity can be used to find missing measurements of real- world objects.
8.4 Linear RelationshipsLinear relationships are all around you. The distance you run is related to the amount of time you are running. How much water you use in the shower depends on how long you shower. In this unit you will look at examples of everyday linear relationships and learn how to show the relationships as both equations and graphs. You will discover that a constant rate is shown by the slope of the line. You will also learn what “translating a linear graph” means and how it affects the equation of the graph. Before you know it, you will be seeing linear equations everywhere you go! 8.5 Linear EquationsStudents begin this unit by solving one-variable equations that have variable terms on both sides. Then they use algebraic transformations to identify equations in one variable that have exactly one, none, or infinitely many solutions. These skills are applied to solving systems of equations in two variables using both graphing and algebraic methods. Students finish by using these methods to solve a variety of real-world and mathematical problems involving numbers, towns, taxis, and more.
8.6 Triangles and BeyondIn this unit, students will think about geometry through the art of M. C. Escher. Escher’s art can display creative uses for aspects of geometry, including parallel lines, triangles, and spheres. Then they will look at parallel lines cut by a transversal and the related angles they create, understand and apply the Pythagorean Theorem, expand on these, and then develop the relationships among the volumes of cylinders, cones, and spheres. 8.7 Functions - CURRENT UNITIn this unit, students will learn how graphs show rates of change—both with linear and nonlinear situations. They will explore the concept of functions, domain, and range and apply it to linear functions represented by graphs, tables, equations, and verbal descriptions. Finally, students will model real-world situations with linear and nonlinear functions. 8.8 Bivariate DataHow is arm span related to a person’s height? Are household chores and allowances always related? These are two examples of common statistical questions involving bivariate data – data that compares two variables. Students will gather various types of data to compare. Scatterplots and two-way tables will be used to show the different bivariate relationships. The strength of the relationship can be seen in the shape of the scatterplot or in the two-way table tally counts. 8.9 Putting Math to WorkIn this unit, you will put the mathematics you have learned to work. You will apply your knowledge to solve real-world problems, such as how to create a building plan, organize traffic routes with the timing of lights, build stairs, and more. You will be surprised at how much math is used in many different career paths, and you will see that having math skills is always to your advantage. |