## Algebra-1 Content & Skills

#### Algebra-1 Pre-Requisite Content and Skills

Pre-Requisite Expectations
• Solve linear equations in one variable (8.EE.8)
• Solve linear equations with rational number coefficients where there is one solution, infinitely many solutions, or no solutions (8.EE.7)
• Use the distributive property and collect like-terms when solving linear equations (8.EE.7b)
• Derive the equation y = mx + b for a line given two distinct non-vertical points (8.EE.5)
• Determine the rate of change (slope) and initial value of a function from a description of a relationship or from two (x, y) values (8.F.4)
• Interpret slope as the unit rate of the graph (8.EE.5)
• Apply the properties of integer exponents to generate equivalent numerical expressions (8.EE.1)
• Use square and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p (8.EE.2)
Solving equations tutorials   Graphing linear functions tutorials   Exponent tutorials

#### Equations and Inequalities Unit

Learning Expectations
• Solve linear equations in one variable with coefficients represented by real numbers and variables (A-REI.3)
• Solve linear inequalities in one variable with coefficients represented real numbers and variables (A-REI.3)
Equations and Inequalities tutorials

#### Modeling with Functions Unit

Learning Expectations
• Interpret statements that use function notation in terms of context (F-IF.2)
• Evaluate functions for inputs in their domains (F-IF.2)
• Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range (F-IF.1)
• Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input of x (F-IF.1)
• Understand that the graph of f is the graph of the equation y = f(x) (F.IF.1)
• Use function notation (F-IF.2)
Function tutorials

#### Linear Functions and Inequalities Unit

Learning Expectations
• Find the approximate solutions of linear and absolute value functions using technology, table of values, or successive approximations (A-REI.11)
• Calculate and interpret the average rate of change (slope) of a linear function (F-IF.6)
• Graph linear functions in different forms (e.g., slope-intercept, point-slope, and standard form) and show intercepts (F-IF.9)
• Compare properties of two linear functions each represented in different ways (F-IF.9)
Linear Functions and Inequalities tutorials

#### Systems of Equations and Inequalities Unit

Learning Expectations
• Solve systems of linear equations (focusing on pairs of linear equations in two variables) exactly and approximately (for example, using graphs) (A-REI.6)
• Solve systems of equations consisting of two linear equations in two variables algebraically and graphically (A-REI.7)
• Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes (A-REI.12)
Systems of Equations tutorials

#### Linear Modeling Unit

Learning Expectations
• Compute (using technology) and interpret the correlation coefficient of a linear fit (S-ID.8)
• Distinguish between correlation and causation in a data set (S-ID.9)
• Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data (S-ID.7)
Linear Modeling tutorials

#### Quadratic Functions Unit

Learning Expectations
• Graph quadratic functions and show intercepts, maxima, and minima (F-IF.7a)
• Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph (F-IF.8)
Quadratic Functions tutorials

#### Solving Quadratic Equations Unit

Learning Expectations
• Solve quadratic equations in one variable using factoring, completing the square, and quadratic formula (A-REI.4)
Quadratic Equations tutorials

#### Statistics Unit

Learning Expectations
• Interpret difference in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers) (S-ID.3)
• Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages and recognize that there are data sets for which a procedure is not appropriate (S-ID.4)
• Use calculators, spreadsheets, and tables to estimate areas under the normal curve (S-ID.4)
• Use statistics appropriate to the shape of the data distribution to compare center (mean, median) and spread (interquartile range, standard deviation) of two or more different data sets (S-ID.2)
Statistics tutorials