Cheney Middle School

8^th Grade Mathematics

Projected Curriculum Map

2007-2008

To see information for specific months either scroll down or click on the month’s link below.
September	October	November
December	January	February
March	April	May

Cheney Middle School Curriculum Map

8^th Grade Mathematics 2007-2008

Month	Content	Objectives	Skills	Assessment
September	It’s all the Same (Geometry Strand)	q Understand similarity and use it to find unknown measurements for similar figures q Develop the concept of ratio through tessellation	q Identify congruent and similar figures q Recognize & use patterns in arrangements of congruent triangles q Identify corresponding sides in similar triangles q Determine unknown lengths in given similar triangles using both multipliers and proportions q Understand relationship between parallel lines and equal angles q Prove two triangles are similar and solve problems using similar triangles q Use concepts of ratios & similarity in solving problems q Write the slope of a line q Determine the missing side of a right triangle q Identify special angles created by parallel lines cut by a transversal	q Written Unit Assessment q Quizzes q Performance Assessment q Informal observations as students work both individually and in teams q Solutions to problems completed either in class or at home q Projects q Writing entries in math journals

Cheney Middle School Curriculum Map

8^th Grade Mathematics 2007-2008

Month	Content	Objectives	Skills	Assessment
October	Revisiting Numbers (Number Strand)	q Exploring prime numbers, prime factorizations, & divisibility rules q Analyzing algorithms for multiplication & division q Discovering and relating whole numbers, integers, rational, and irrational numbers by looking at the results of basic operations with their inverses	q Find factors & multiples of a number (including prime factors) and write products of primes q Find a product or quotient or two- and three-digit numbers using different algorithms q Prove that division by zero is undefined q Understand relationship between operations and their inverse operations q Solve problems with speed & rate q Use rules for operations with powers, and negative and positive numbers q Use commutative, associative, and distributive properties q Classify numbers as rational, irrational, integer, whole, or natural. q Write large and small numbers in scientific notation	q Written Unit Assessment q Quizzes q Performance Assessment q Informal observations as students work both individually and in teams q Solutions to problems completed either in class or at home q Projects q Writing entries in math journals

Cheney Middle School Curriculum Map

8^th Grade Mathematics 2007-2008

Month	Content	Objectives	Skills	Assessment
November	Patterns & Figures	q Recognize regularity in patterns q Expressing generalities q Exploring progressions q Rectangular and Triangular numbers q Pascal’s triangle	q Use & create dot patterns, number strips, or charts to visualize number sequences q Create & use recursive formulas to describe number sequences q Create & use expressions & direct formulas to describe number sequences q Understand arithmetic sequences q Understand and memorize the sequence of square numbers q Combine (add or subtract) number sequences and the corresponding algebraic expression q Use Euler’s formula as an example of combining sequences q Justify equivalent expressions Generalize concrete number sequences using formulas and/or expressions that describe them	q Written Unit Assessment q Quizzes q Performance Assessment q Informal observations as students work both individually and in teams q Solutions to problems completed either in class or at home q Projects q Writing entries in math journals

Cheney Middle School Curriculum Map

8^th Grade Mathematics 2007-2008

Month	Content	Objectives	Skills	Assessment
December And parts of January	Graphing Equations	q Graphing points and lines in the coordinate plane q Solving single-variable linear equations q Describe restricted regions on a graph using inequalities q Learn the structure of the equation of a line	q Describe & graph directions using wind directions & angles q Understand and graph horizontal & vertical lines and their equations q Use inequalities to describe restricted horizontal and vertical regions on a coordinate plane q Using slope and y-intercept, find and use equations of the form y = i + sx q Solve equations of the form a + bx = c + dx q Find intersection point of two lines, algebraically & graphically q Model a problem situation & translate it to a graph or an equation q Understand slope through directional pairs	q Written Unit Assessment q Quizzes q Performance Assessment q Informal observations as students work both individually and in teams q Solutions to problems completed either in class or at home q Projects q Writing entries in math journals

Cheney Middle School Curriculum Map

8^th Grade Mathematics 2007-2008

Month	Content	Objectives	Skills	Assessment
February And early March Also State Test Review occurring at this time	Insights into Data	q Analyzing information presented in a graph q Recognizing bias in sample surveys q Examining misleading representations of data q Identifying correlations q Using lines to summarize data in a scatter plot q Make & interpret box plots and scatter plots	q Arrange data into scatter and box plot graphs and review other types q Describe data with measures of central tendency q Describe relationship between two variables q Identify degree of correlation between two variables q Describe a linear relationship with an equation of a straight line q Design, conduct, and analyze ways of gathering data: surveys, simulations, & experiments q Use random samples and analyze representations of data q Draw conclusion based on data and graphs q Recognize sources of bias q Learn to be more cautious and questioning when analyzing data and representations of data	q Written Unit Assessment q Quizzes q Performance Assessment q Informal observations as students work both individually and in teams q Solutions to problems completed either in class or at home q Projects q Writing entries in math journals

Cheney Middle School Curriculum Map

8^th Grade Mathematics 2007-2008

Month	Content	Objectives	Skills	Assessment
April Pythagorean Theorem work occurs in late March	Looking at an Angle (right triangle geometry) Plus some work from the old unit, Going the Distance	q Use the Pythagorean theorem to investigate distances, scale, square root, and contour lines q Use the sine, cosine and tangent ratios to find the missing side and/or angle of right triangles and solve problems. q Recognizing vision lines in two- and three-dimensional situations q Identifying and drawing shadows and blind spots q Understanding the relationship between angles and the tangent ratio	q Read & interpret maps, understanding different ways in which distance is represented and used q Use the relationship between the side length & the area of a square q Understand & use the Pythagorean theorem q Develop procedures for finding the areas of triangles, polygons, and circles q Choose appropriate models or views to solve three-dimensional distance or steepness problems q Understand slope, tangent, & glide angles & use relationships among them to solve problems q Understand concepts of vision line, angle, blind spot, steepness, glide ratio, and sine, cosine,& tangent q Construct vision lines and blind spots (and measure them) in two- and three-dimensional representations q Understand relationship among steepness, angle, and height-to-distance ratio