A.0 Introductory Unit

- Mathematics > General

- Grade 9
- Grade 10
- Grade 11
- Grade 12

Identify and describe differences among natural numbers, whole numbers, integers, rational numbers, and irrational numbers

Evaluate and write numerical expressions involving integer exponents

Distinguish between an exact and an approximate answer, and recognize errors introduced by the use of approximate numbers with technology

Demonstrate computational fluency with all rational numbers (e.g., estimation, mental math, technology, paper/pencil)

Use order of operations to simplify or rewrite variable expressions

Model real-life situations using linear expressions, equations, and inequalities

Use equivalent forms of equations and inequalities to solve real-life problems

Translate between the characteristics defining a line (i.e., slope, intercepts, points) and both its equation and graph

Graph and interpret linear inequalities in one or two variables and systems of linear inequalities

Translate among tabular, graphical, and algebraic representations of functions and real-life situations

Interpret and solve systems of linear equations using graphing, substitution, elimination, with and without technology, and matrices using technology

Use significant digits in computational problems

Demonstrate and explain how relative measurement error is compounded when determining absolute error

Determine appropriate units and scales to use when solving measurement problems

Graph a line when the slope and a point or when two points are known

Explain slope as a representation of ?rate of change?

Identify trends in data and support conclusions by using distribution characteristics such as patterns, clusters, and outliers

Create a scatter plot from a set of data and determine if the relationship is linear or nonlinear

Use simulations to estimate probabilities

Define probability in terms of sample spaces, outcomes, and events

Compute probabilities using geometric models and basic counting techniques such as combinations and permutations

Determine if a relation is a function and use appropriate function notation

Identify the domain and range of functions

Analyze real-life relationships that can be modeled by linear functions

Identify and describe the characteristics of families of linear functions, with and without technology

Compare and contrast linear functions algebraically in terms of their rates of change and intercepts