1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots, radical form, or decimal approximations
2. Analyze linear functions from their equations, slopes, and intercepts
3. Determine characteristics of a relation, including its domain, range, and whether it is a function, when given graphs, tables of values, mappings, or sets of ordered pairs.
4. Represent graphically common relations, including x=constant, y=constant, y=x, y = x squared, y=the square root of x, and y = absolute value of x.
5. Perform operations of addition, subtraction, multiplication on polynomial expressions.
6. Factor binomials, trinomials, and other polynomials using GCF, difference of squares, perfect square trinomials, and grouping.
7. Solve multistep equations and inequalitites including linear, radical, absolute value, and literal equations
8. Solve systems of linear equations and inequalities in two variables graphically or algebraically
9. Solve quadratic equations using the zero product property
10. Calculate length, midpoint, and slope of a line segment when given coordinates of its endpoints on the Cartesian plane
11. Solve problmes algebraically that involve area and perimeter of a polygon, area and circumference of a circle, and volume and surface area of right circular cylinders or right rectangular prisms.
12. Compare various methods of data reporting, including scatterplots, stem-and-leaf plots, histograms, box-and-whisker plots, and line graphs, to make inferences or predictions
13. Identify characteristics of a data set, including measurement or categorical and univariate or bivariate.
14. Use a scatterplot and its line of best fit or a specific line graph to determine the relationship existing between two sets of data, including positive, negative, or no relationship.
15. Estimate probabilities given data in lists or graphs
Liberty Mathematics Department Algebra 1 Wiki
Alabama Course of Study Objectives for Algebra 1
1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots, radical form, or decimal approximations
2. Analyze linear functions from their equations, slopes, and intercepts3. Determine characteristics of a relation, including its domain, range, and whether it is a function, when given graphs, tables of values, mappings, or sets of ordered pairs.
4. Represent graphically common relations, including x=constant, y=constant, y=x, y = x squared, y=the square root of x, and y = absolute value of x.
5. Perform operations of addition, subtraction, multiplication on polynomial expressions.
6. Factor binomials, trinomials, and other polynomials using GCF, difference of squares, perfect square trinomials, and grouping.
7. Solve multistep equations and inequalitites including linear, radical, absolute value, and literal equations
8. Solve systems of linear equations and inequalities in two variables graphically or algebraically
9. Solve quadratic equations using the zero product property
10. Calculate length, midpoint, and slope of a line segment when given coordinates of its endpoints on the Cartesian plane
11. Solve problmes algebraically that involve area and perimeter of a polygon, area and circumference of a circle, and volume and surface area of right circular cylinders or right rectangular prisms.
12. Compare various methods of data reporting, including scatterplots, stem-and-leaf plots, histograms, box-and-whisker plots, and line graphs, to make inferences or predictions
13. Identify characteristics of a data set, including measurement or categorical and univariate or bivariate.
14. Use a scatterplot and its line of best fit or a specific line graph to determine the relationship existing between two sets of data, including positive, negative, or no relationship.
15. Estimate probabilities given data in lists or graphs