Mr. Ohashi's Math Homepage

2008-2009 CURRICULUM MAP

The following is my Curriculum Map for the 2008-09 school year. It is a layout I made at the beginning of the year of the units that I plan to teach in my class. While I plan to follow this map as closely as possible, it is important to note that it is a guide! No dates or units are set in stone. Many variables affect the timing, length, and order of the units that I teach (the most important being the skill levels of the students!).

1st Semester	Sept/Oct	Nov/Dec	Jan	Jan/Feb
Content & Skills	Linear Relationships Solve algebraic equations. Recognize and represent linear relationships in a variety of ways. Understand the relationship between tables, graphs, and equations.	Square Roots and the Pythagorean Theorem Understand and use square roots. Discover and apply the Pythagorean Theorem.	Linear & Inverse Models Recognize linear and nonlinear patterns from verbal descriptions, tables, and graphs. Describe those patterns using words and equations. Understand and use inequalities.	Data and Statistics Use and understand various data displays. Use information from samples to draw conclusions about populations.
8th Grade Math Standards	8.1.A Solve one-variable linear equations. 8.1.C Represent a linear function with a verbal description, table, graph, or symbolic expression, and make connections among these representations. 8.1.D Determine the slope and y-intercept of a linear function described by a symbolic expression, table, or graph. 8.1.E Interpret the slope and y-intercept of the graph of a linear function representing a contextual situation. 8.1.F Solve single- and multi-step word problems involving linear functions and verify the solutions. 8.1.G Determine and justify whether a given verbal description, table, graph, or symbolic expression represents a linear relationship.	8.2.E Quickly recall the square roots of the perfect squares from 1 through 225 and estimate the square roots of other positive numbers. 8.4.D Identify rational and irrational numbers. 8.2.F Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems. 8.2.G Apply the Pythagorean Theorem to determine the distance between two points on the coordinate plane.	8.1.B Solve one- and two-step linear inequalities and graph the solutions on the number line. 8.1.C Represent a linear function with a verbal description, table, graph, or symbolic expression, and make connections among these representations. 8.1.G Determine and justify whether a given verbal description, table, graph, or symbolic expression represents a linear relationship.	8.3.A Summarize and compare data sets in terms of variability and measures of center. 8.3.B Select, construct, and analyze data displays, including box-and-whisker plots, to compare two sets of data. 8.3.C Create a scatterplot for a two-variable data set, and, when appropriate, sketch and use a trend line to make predictions. 8.3.D Describe different methods of selecting statistical samples and analyze the strengths and weaknesses of each method. 8.3.E Determine whether conclusions of statistical studies reported in the media are reasonable.
Essential Questions	What are linear relationships and what are the benefits of being able to display them in different ways? What are some real life applications of the math we are learning?	What is the Pythagorean Theorem and how can it be used to solve problems? What are some real life applications of the math we are learning?	What kind of equation will express the relationship and how can I use the equation to answer questions about the relationship? What are some real life applications of the math we are learning?	What strategies can you use to collect, analyze, and interpret data? What are some real life applications of the math we are learning?
CMP Unit	Moving Straight Ahead (all investigations)	Looking for Pythagoras (all investigations)	Thinking with Mathematical Models (Invest. 1 & 2)	Samples and Populations (Invest. 1-4)

2nd Semester	Mar	Mar	Apr/May	June
Content & Skills	Exponential Relationships Compare exponential and linear relationships. Recognize situations in which one variable is an exponential function of another variable. Write equations for exponential patterns that appear in data tables, graphs, and problem conditions.	Scientific Notation Understand and use scientific notation.	Geometry Unit & Symmetry and Transformations Recognize and describe symmetries of figures, including reflections, translations, and rotations. Perform symmetry transformations of figures.	Linear Systems and Inequalities Find solutions to inequalities represented by graphs or equations. Graph linear inequalities.
8th Grade Math Standards	8.4.C Evaluate numerical expressions involving non-negative integer exponents using the laws of exponents and the order of operations.	8.4.A Represent numbers in scientific notation, and translate numbers written in scientific notation into standard form. 8.4.B Solve problems involving operations with numbers in scientific notation and verify solutions.	8.2.A Identify pairs of angles as complementary, supplementary, adjacent, or vertical, and use these relationships to determine missing angle measures. 8.2.B Determine missing angle measures using the relationships among the angles formed by parallel lines and transversals. 8.2.C Demonstrate that the sum of the angle measures in a triangle is 180 degrees, and apply this fact to determine the sum of the angle measures of polygons and to determine unknown angle measures. 8.2.D Represent and explain the effect of one or more translations, rotations, reflections, or dilations (centered at the origin) of a geometric figure on the coordinate plane.	8.1.B Solve one- and two-step linear inequalities and graph the solutions on the number line.
Essential Questions	What are exponential relationships and what are the benefits of being able to display them in different ways? What are some real life applications of the math we are learning?	How do use scientific notation to represent numbers? What are some real life applications of the math we are learning?	What are some real life applications of the math we are learning?	What are inequalities and what are the benefits of being able to work with them? What are some real life applications of the math we are learning?
CMP Unit	Growing, Growing, Growing (Invest. 1, 2, 5)	Additional Materials	Kaleidoscopes, Hubcaps, & Mirrors (Invest. 1 & 2) and Shapes of Algebra (Invest. 1)	The Shapes of Algebra