Mathematics

Unit 1

• Understand the concept and uses of statistics
• Find, use, and interpret measures of center and spread for a data set
• Understand and use random sampling to draw inferences about a population
• Informally assess the degree of visual overlap of two numerical distributions
• Understand the concept of probability of a chance event
• Express the likelihood of an event occurring with a number between 0 and 1
• Approximate the probability of a chance event by collecting data
• Draw probability models and use them to find probabilities
• Predict approximate relative frequencies of events
• Find probabilities of compound events using diagrams, tables, lists, or simulation
• Solve real world and mathematical problems involving statistics and probability

Unit 2

• Recognize and represent proportional relationships between quantities
• Decide whether two quantities are in a proportional relationship
• Identify the constant of proportionality (unit rate) in proportional relationships
• Use equations to represent proportional relationships
• Solve multistep ratio and percent problems
• Analyze proportional relationships to solve real world and mathematical problems
• Understand and explain addition and subtraction of rational numbers
• Understand and explain multiplication and division of rational numbers
• Apply properties of operations with rational numbers
• Convert rational numbers to decimals
• Know that the decimal form of a rational number terminates in zero or repeats

Unit 3

• Compute fluently with rational numbers
• Solve real world problems involving operations with rational numbers
• Construct triangles from three measures of angles or sides
• Identify and describe similarity relationships of polygons
• Interpret and create scale drawings of geometric figures
• Solve real world and mathematical problems involving scale drawings of geometric figures
• Solve real world and mathematical problems that involve vertical, adjacent, complementary, and supplementary angles
• Solve real world and mathematical problems involving angle measure
• Understand and apply formulas for area and circumference of a circle
• Understand and apply formulas for area, volume, and surface area
• Solve real world and mathematical problems involving area, volume, and surface area of quadrilaterals, polygons, cubes, right prisms, and cylinders

Unit 4

• Describe two-dimensional figures that result from slicing three-dimensional figures
• Apply properties of operations to generate equivalent linear expressions
• Add, subtract, factor, and expand linear expressions with rational coefficients
• Use variables to represent unknown quantities
• Rewrite expressions in different forms in the context of a problem
• Construct equations to solve real world and mathematical problems
• Construct inequalities to solve real world and mathematical problems
• Graph and interpret the solutions sets of inequalities
• Identify the sequence of operations used in solving an equation
• Define slope as vertical change for each unit of horizontal change
• Identify the slope of a line from its graph