## Algebra-1 Content & 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
*x*^{2}=*p*and*x*^{3}=*p*(8.EE.2)

- Solving-equations-for-beginners
- More-fancy-equations-for-beginners
- Solving-equations-with-distributive-property
- Number-of-solutions-to-linear-equations

*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*

*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*

*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*

*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*

*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*

*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*

*Learning Expectations*

- Solve quadratic equations in one variable using factoring, completing the square, and quadratic formula (A-REI.4)

*Quadratic Equations tutorials*

*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*