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Alabama Math Standards - Algebra
MathScore aligns to the Alabama Math Standards for Algebra. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Alabama Math Standards at other levels.
Number and Operations
1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots, radical form, or decimal approximations. (Order Of Operations , Simplifying Algebraic Expressions , Simplifying Algebraic Expressions 2 , Simplifying Radical Expressions , Adding and Subtracting Radical Expressions , Multiplying and Dividing Radical Expressions )• Applying laws of exponents to simplify expressions, including those containing zero and negative integral exponents (Exponents Of Fractional Bases , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions , Roots Of Exponential Expressions )
Algebra
2. Analyze linear functions from their equations, slopes, and intercepts.• Finding the slope of a line from its equation or by applying the slope formula (Determining Slope )
• Determining the equations of linear functions given two points, a point and the slope, tables of values, graphs, or ordered pairs (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities , Applied Linear Equations 1 , Applied Linear Equations 2 )
• Graphing two-variable linear equations and inequalities on the Cartesian plane
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. (Domain and Range )
• Finding the range of a function when given its domain
4. Represent graphically common relations, including x = constant, y = constant, y = x, y =√x, y = x2, and y = |x|.
• Identifying situations that are modeled by common relations, including x = constant, y = constant, y = x, y =√x, y = x2, and y = |x|
5. Perform operations of addition, subtraction, and multiplication on polynomial expressions. (Foil Method , Simplifying Algebraic Expressions )
• Dividing by a monomial
6. Factor binomials, trinomials, and other polynomials using GCF, difference of squares, perfect square trinomials, and grouping. (Trinomial Factoring , Binomial Fraction Simplification , Polynomial Fraction Simplification , Quadratic Zero Equations )
7. Solve multistep equations and inequalities including linear, radical, absolute value, and literal equations. (Single Variable Equations 3 , Single Variable Inequalities , Absolute Value Equations , Quadratic X-Intercepts , Quadratic Zero Equations , Quadratic Formula , Two Variable Equations )
• Writing the solution of an equation or inequality in set notation
• Graphing the solution of an equation or inequality (Number Line Inequalities )
• Modeling real-world problems by developing and solving equations and inequalities, including those involving direct and inverse variation (Mixture Word Problems , Work Word Problems , Integer Word Problems )
8. Solve systems of linear equations and inequalities in two variables graphically or algebraically. (System of Equations Substitution , System of Equations Addition )
• Modeling real-world problems by developing and solving systems of linear equations and inequalities (Age Problems )
9. Solve quadratic equations using the zero product property. (Quadratic Zero Equations , Quadratic X-Intercepts , Quadratic Formula )
• Approximating solutions graphically and numerically
Geometry
10. Calculate length, midpoint, and slope of a line segment when given coordinates of its endpoints on the Cartesian plane. (Line Segments , Determining Slope )• Deriving the distance, midpoint, and slope formulas
Measurement
11. Solve problems 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. (Rectangular Solids , Rectangular Solids 2 , Circle Area , Circle Circumference , Cylinders , Irregular Shape Areas , Perimeter and Area Word Problems , Trapezoids )• Applying formulas to solve word problems (Perimeter and Area Word Problems )
Data Analysis and Probability
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.• Determining effects of linear transformations of data
• Determining effects of outliers
• Evaluating the appropriateness of the design of a survey
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.
• Comparing theoretical and experimental probabilities
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