Statistics and Data Analysis

Statistics and Graphs

• Identify if a set of data is normally distributed, left-skewed, or right-skewed
• Determine if a graph is misleading
• Find the line of best fit for a scatter plot and identify its correlation (positive/negative) and association (strong/weak)
• Match a correlation coefficient to a scatter plot

Normal Distribution

• Calculate the percentage of a population based on a normal distribution
• Draw a normal distribution using the mean and standard deviation

Two-Way Frequency Tables

• Fill in missing parts in a two-way frequency table
• Calculate corresponding percentages

Box and Whisker Plots

• Read a box and whisker plot (normal, left-skewed, right-skewed, corresponding percentages, IQR)

Systems of Equations

• Solve a system of equations using graphing, substitution, or elimination
• Identify when to use substitution over elimination or vice versa
• Understand the difference between "no solution" and "all real numbers" when it comes to the solution to a system of equations

Inequalities

• Rearrange an equation from standard form to slope-intercept form
• Identify when a coordinate point is part of the solution to a system of inequalities
• Match equations to graphs or vice versa in a system of inequalities
• Understand the difference between a dotted and a solid line in a system of inequalities

Algebraic Manipulations

• Remove fractions from an equation using a common denominator or a reciprocal
• Simplify expressions using all exponent rules (product/quotient, power to a power, negative exponents, zero power)
• Switch between fraction exponents and roots and simplify
• Simplify radicals using prime factors to pull out perfect squares from inside the radical

Exponential Equations

• Solve exponential equations for x when the bases of the exponent are the same and when they are different
• Identify the difference between exponential growth and decay and their graphs
• Calculate compound interest based on the number of times a year it is collected

Sequences

• Identify whether a sequence is arithmetic, geometric, or neither
• Find the nth term or the first term of an arithmetic or geometric sequence

Polynomials

• Name a polynomial by the number of terms (monomial, binomial, trinomial) or the degree (constant, linear, quadratic, cubic)
• Factor out a GCF from an expression
• Add, subtract, and multiply polynomial expressions
• Factor trinomials where a = 1 and a > 1
• Factor perfect square binomials and perfect square trinomials

Quadratic Equations

• Find the roots of a quadratic using factoring
• Find the roots of a quadratic with radicals
• Use the quadratic formula
• Identify the vertex and axis of symmetry of a parabola
• Switch between standard form and vertex form of a parabola using completing the square or order of operations

Linear Equations

• Solve multi-step equations with simplifying expressions, variables on both sides, multiple variables, and some fractions
• Find slope from an equation, graph, table, or given two points
• Write an equation for a line given two points
• Match a graph to an equation or an equation to a graph
• Know the difference between the slope and y-intercept of a vertical line vs a horizontal line (HOY VUX)
• Identify if two equations are parallel, perpendicular, or intersecting

Functions and Transformations

• Identify if a graph or table is a function
• Identify the domain and range of a set of data and write it in interval notation
• Understand how a, h, and k transform a graph using the basic form of: y=a(x-h)+k