Mississippi State Standards for Mathematics: Grade 9

MS.TA. Transition to Algebra

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

1.a. Compare and contrast the subsets of real numbers. (DOK 1)

1.b. Simplify and evaluate expressions using order of operations and use real number properties to justify solutions. (DOK 2)

1.c. Express, interpret, and compute numbers using scientific notation in meaningful contexts. (DOK 1)

1.d. Apply the concept of Greatest Common Factor (GCF) and Least Common Multiple (LCM) to monomials with variables. (DOK 2)

1.e. Use the inverse relationship to develop the concept of roots and perfect squares. (DOK 2)

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

2.a. Given a literal equation, solve for a specified variable of degree one. (DOK 1)

2.b. Explain and illustrate how changes in one variable may result in a change in another variable. (DOK 2)

2.c. Solve and check multi-step equations and inequalities, including distributive property, variables on both sides, and rational coefficients. (DOK 2)

2.d. Use real-world data to express slope as a rate of change. (DOK 2)

2.e. Graph solutions to linear inequalities. (DOK 2)

2.f. Write linear equations given slope and y-intercept or two points. (DOK 2)

2.g. Identify domain, range, slope, and intercepts of functions. (DOK 1)

2.h. Develop generalizations to characterize the behaviors of graphs (linear, quadratic, and absolute value). (DOK 2)

2.i. Classify and determine degree of a polynomial and arrange polynomials in ascending or descending order of a variable. (DOK 1)

2.j. Apply ratios and use proportional reasoning to solve real-world algebraic problems. (DOK 2)

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

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

TA.3. Geometry: Understand geometric principles of polygons, angles, figures.

3.a. Apply the Pythagorean Theorem to solve problems. (DOK 2)

3.b. Apply proportional reasoning to determine similar figures and find unknown measures. (DOK 2)

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

4.a. Solve real-world problems involving measurements (i.e., circumference, perimeter, area, volume, distance, temperature, etc.). (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)

TA.5. Data Analysis: Interpret data.

5.a. Construct graphs, make predictions, and draw conclusions from tables, line graphs, and scatter plots. (DOK 3)

5.b. Use a given mean, mode, median, and range to summarize and compare data sets including investigation of the different effects that change in data have on these measures of central tendency, and select the appropriate measures of central tendency for a given purpose. (DOK 2)

5.c. Calculate basic probability of experiments and simulations to make and test conjectures about results. (DOK 3)

MS.AI. Algebra I

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

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

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

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

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.

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.

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