Grade: 8th Grade Course: Pre-Algebra Discipline: Math Objectives: Unit Frogs, Fleas, & Painted Cubed Local Objective NO2C Students will apply properties of operations to rational numbers, including order of operations and inverse operations. AR1B Students will generalize patterns represented graphically or numerically using words or symbolic rules, including explicit notation. AR1C Students will compare and contrast various forms of representations of patterns. AR3A Students will model and solve problems, using multiple representations such as graphs, tables, equations, or inequalities. GS4A Students will create isometric drawings from a given mat plan. GS4B Students will draw or use visual models to represent and solve problems. Unit Dilation (Shrinking/Enlarging - Missing in CMP2) Local Objective GS3B Students will describe the relationship between the scale factor and the area of the image using a dilation (stretching/shrinking). Unit Thinking w/ Math Models Local Objective NO1B Students will use fractions, decimals and percents to solve problems. NO2C Students will apply properties of operations to rational numbers, including order of operations and inverse operations. AR1B Students will generalize patterns represented graphically or numerically using words or symbolic rules, including recursive notation. AR1C Students will compare and contrast various forms of representations of patterns. AR1D Students will compare properties of linear functions between or among tables, graphs and equations. AR2A Students will use symbolic algebra to represent and solve problems that involve linear relationships, including recursive relationships. AR3A Students will model and solve problems, using multiple representations such as graphs, tables, equations or inequalities. AR4A Students will analyze the nature of changes (including slope and intercepts) in quantities in linear relationships. MS2D Students will analyze precision and accuracy in measurement situations and determine number of significant digits. GS4B Students will draw or use visual models to represent and solve problems. Unit Growing, Growing, Growing Local Objective NO1A Students will compare and order rational and percents, including finding their approximate locations on a number line. NO1B Students will use fractions, decimals and percents to solve problems. NO1C Students will recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including scientific notation. AR1B Students will generalize patterns represented graphically or numerically using words or symbolic rules, including recursive notation. AR1C Students will compare and contrast various forms of representations of patterns. AR3A Students will model and solve problems, using multiple representations such as graphs, tables, equations or inequalities. GS4B Students will draw or use visual models to represent and solve problems. Unit Looking for Pythagoras Local Objective AR1D Students will compare properties of linear functions between or among tables, graphs and equations. AR4A Students will analyze the nature of changes (including slope and intercepts) in quantities in linear relationships. MS2D Students will analyze precision and accuracy in measurement situations and determine number of significant digits. GS1A Students will describe, classify and generalize relationships between and among types of a) 2D objects and b) 3D objects using their defining properties including > Pythagorean Theorem. GS4B Students will create isometric drawings from a given mat plan. Unit Kaleidoscopes, Hucaps, and Mirrors Local Objective MS2D Students will analyze precision and accuracy in measurement situations and determine number of significant digits. GS1A Students will describe, classify and generalize relationships between and among types of a) 2D objects and b) 3D objects using their defining properties including > Pythagorean Theorem. GS2A Students will use coordinate geometry to analyze properties of right triangles and quadrilaterals (including the use of the Pythagorean Theorem). GS3A Students will reposition shapes under formal transformations, such as reflection, rotation and translation. GS3C Students will identify the number of rotational symmetries of regular polygons. GS4B Students will draw or use visual models to represent and solve problems. MS2B Solve problems of angle measure, including those involving triangles and parallel lines cut by a transversal. Unit Precision and Accuracy with Measurement (Missing in CMP2 Series) Local Objective MS2D-Students will analyze precision and accuracy in measurement situations and determine number of significant digits. (DOK 3) MS2B-Students will solve problems of angle measure, including those involving triangles and parallel lines cut by a transversal. They will use rulers to determine the measure lengths in customary and metric measures to the nearest 1/16 inches and 1 mm respectively. (DOK 2) GS4B-Students will use or draw visual models to represent and solve problems used for MS2C. (DOK 3) Unit Samples and Populations Local Objective DP1C Students will select, create and use appropriate graphical representation of data (including scatter plots) and box plots (box and whiskers). DP2A Students will find, use and interpret measures of center, outliers and spread, including range and interquartile range. DP2B Students will compare different representations of the same data and evaluate how well each representation shows important aspects of the data. DP3A Students will make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit. MS2D Students will analyze precision and accuracy in measurement situations and determine number of significant digits. Unit Say It with Symbols Local Objective AR1B - Students will generalize patterns represented graphically or numerically using words or symbolic rules, including explicit notation. (DOK2) AR2B - Use properties to generate equivalent forms for simple algebraic expressions that include all rational. AR3A - Students will model and solve problems, using multiple representations such as graphs, tables, equations or inequalities. (DOK 2 & 3) GS4B - Students will draw or use visual models to represent and solve problems. (DOK 1,2, & 3) Unit The Shapes of Algebra Local Objective AR1D Students will compare properties of linear functions between functions between or among tables, graphs and equations. AR2A Students will use symbolic algebra to represent and solve problems that involve linear relationships. AR3A Students will model and solve problems, using multiple representations such as graphs, tables, equations or inequalities. AR4A Students will analyze the nature of changes (including slope and intercepts) in quantities in linear relationships.