Mississippi State Standards for Mathematics: Grade 10

MS.AI. Algebra I

AI.1. Number and Operations: Understand relationships between numbers and their properties and perform operations fluently.

1.a. Apply properties of real numbers to simplify algebraic expressions, including polynomials. (DOK 1)

1.b. Use matrices to solve mathematical situations and contextual problems. (DOK 2)

AI.2. Algebra: Understand, represent, and analyze patterns, relations, and functions.

2.a. Solve, check, and graph multi-step linear equations and inequalities in one variable, including rational coefficients in mathematical and real-world situations. (DOK 2)

2.b. Solve and graph absolute value equations and inequalities in one variable. (DOK 2)

2.c. Analyze the relationship between x and y values, determine whether a relation is a function, and identify domain and range. (DOK 2)

2.d. Explain and illustrate how a change in one variable may result in a change in another variable and apply to the relationships between independent and dependent variables. (DOK 2)

2.e. Graph and analyze linear functions. (DOK 2)

2.f. Use algebraic and graphical methods to solve systems of linear equations and inequalities in mathematical and real-world situations. (DOK 2)

2.g. Add, subtract, multiply, and divide polynomial expressions. (DOK 1)

2.h. Factor polynomials by using Greatest Common Factor (GCF) and factor quadratics that have only rational roots. (DOK 1)

2.i. Determine the solutions to quadratic equations by using graphing, tables, completing the square, the Quadratic formula, and factoring. (DOK 1)

2.j. Justify why some polynomials are prime over the rational number system. (DOK 2)

2.k. Graph and analyze absolute value and quadratic functions. (DOK 2)

2.l. Write, graph, and analyze inequalities in two variables. (DOK 2)

AI.3. Geometry: Understand how algebra and geometric representations interconnect and build on one another.

3.a. Apply the concept of slope to determine if lines in a plane are parallel or perpendicular. (DOK 2)

3.b. Solve problems that involve interpreting slope as a rate of change. (DOK 2)

AI.4. Measurement: Demonstrate and apply various formulas in problem-solving situations.

4.a. Solve real-world problems involving formulas for perimeter, area, distance, and rate. (DOK 2)

4.b. Explain and apply the appropriate formula to determine length, midpoint, and slope of a segment in a coordinate plane. (i.e., distance formula, Pythagorean Theorem). (DOK 2)

4.c. Represent polynomial operations with area models. (DOK 2)

AI.5. Data Analysis and Probability: Represent, analyze and make inferences based on data with and without the use of technology.

5.a. Draw conclusions and make predictions from scatter plots. (DOK 3)

5.b. Use linear regression to find the line-of-best fit from a given set of data. (DOK 3)

MS.G. Geometry

G.1. Number and Operations: Compute and determine the reasonableness of a result in mathematical and real-world situations with and without technology.

1.c. Solve real-world or application problems that involve square roots and the Pythagorean Theorem. (DOK 3)

G.2. Algebra: Understand relations, functions, and patterns. Analyze change using various geometric properties.

G.3. Geometry: Investigate, apply, and prove properties and theorems from postulates and definitions related to angles, lines, circles, polygons, and two- and three-dimensional figures. Explore applications of patterns and transformational geometry.

3.c. Identify, classify, and apply angle relationships formed by parallel lines cut by transversals. (DOK 2)

3.d. Use the properties of altitudes, medians, angle bisectors, and perpendicular bisectors of triangles to solve problems. (DOK 2)

3.e. Classify triangles and apply postulates and theorems to test for triangle inequality, congruence, and similarity. (DOK 2)

3.f. Determine and justify if a given shape could be tessellated. (DOK 2)

3.g. Describe and draw cross-sections of prisms, cylinders, pyramids, and cones. (DOK 1)

3.h. Graph a vector and determine the magnitude and direction of a given vector. (DOK 2)

3.i. Given the pre-image or image, find figures obtained by applying reflections, translations, rotations, and dilations; describe and justify the method used. (DOK 2)

G.4. Measurement: Select and apply various strategies, tools, and formulas to calculate length, surface area, volume, and angle measurements.

4.d. Explain and use the properties of 45-45-90 and 30-60-90 triangles. (DOK 2)

4.e. Apply the relationships of sine, cosine, and tangent to problems involving right triangles. (DOK 2)

G.5. Data Analysis and Probability: Represent, analyze, and make inferences based on data with and without the use of technology.

MS.AII. Algebra II

AII.1. Number and Operations: Understand relationships among numbers and compute fluently. Verify with technology.

1.d. Perform computations, including addition, scalar multiplication, multiplication, determinants, and inverses on matrices. (DOK 1)

1.e. Solve applications and problems in mathematical settings involving arithmetic and geometric sequences and series. (DOK 3)

1.f. Explain and use the inverse relationship between exponential and logarithmic expressions. (DOK 2)

1.g. Use the properties of logarithms to simplify logarithmic expressions and to find their approximate values. (DOK 1)

1.h. Solve application problems involving exponential functions related to growth and decay. (DOK 3)

AII.2. Algebra: Use algebraic concepts to identify patterns, use multiple representations of relations and functions, and apply operations to expressions, equations, and inequalities.

AII.3. Geometry: Use coordinate geometry to specify locations, describe relationships, and apply transformations to analyze algebraic relationships.

AII.4. Measurement: Understand measurable attributes of objects and apply appropriate techniques and formulas to determine measurements.

AII.5. Data Analysis and Probability: Use technology to represent, analyze, and make inferences based on data.

5.c. Model a data set using the median-fit-method with a linear equation and make predictions based on the model and the equation. (DOK 3)

5.d. Identify the difference between permutations and combinations and use them to solve real-world problems. (DOK 2)