2025 Mississippi College- and Career-Readiness Standards for Mathematics

Count to 100 by ones.

Count to 100 by tens.

Compare two numbers between 1 and 20 presented as written numerals.

Model objects in the world by drawing two-dimensional shapes and building three-dimensional shapes.

Represent addition and subtraction, in which all parts and whole of the problem are within 10, with objects, fingers, me...

Solve addition and subtraction word problems within 10 involving situations of adding to, taking from, putting together ...

FLUENTLY add within 5.

FLUENTLY subtract within 5.

Count within 1000; skip-count by 5s starting at any number ending in 5 or 0. Skip-count by 10s and 100s starting at any ...

Explain why addition and subtraction strategies work, using place value and the 3 properties of operations.

Multiply side lengths to find areas of rectangles with whole-number side lengths (where factors can be between 1 and 10,...

Fluently add and subtract (including subtracting across zeros) within 1000 using strategies and algorithms based on plac...

Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. Recognize ...

Determine the unknown whole number in a multiplication or division equation relating three whole numbers, with factors 0...

Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (...

Solve two-step (two operational steps) word problems using the four operations. Represent these problems using equations...

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or...

Know relative sizes of measurement units within one system of units including km, m, cm, mm; kg, g, mg; lb, oz.; l, ml; ...

Fluently add and subtract (including subtracting across zeros) multi-digit whole numbers using the standard algorithm.

Recognizing that the value of “n” cannot be 0, explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by...

Solve an equation or inequality and understand the process by answering a question: which values from a specified set, i...

Apply and extend previous understandings of addition and subtraction to add and subtract integers; represent addition an...

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because it...

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether...

Understand subtraction of integers as adding the additive inverse, p – q = p + (– q). Show that the distance between two...

Apply properties of operations as strategies to add and subtract integers.

Giving quantitative measures of center (median and/or mean) and variability (interquartile range), as well as describing...

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects...

Use measures of center and measures of variability (i.e., inter-quartile range) for numerical data from random samples t...

Solve linear equations and inequalities with rational number coefficients, including those whose solutions require expan...

Verify the Binomial Theorem by mathematical induction or by a combinatorial argument.

Write rational expressions in simplest form. (For example (x³ – x² – x + 1)/(x³ + x² – x – 1) = (x–1)/(x+1)).

Decompose a rational function into partial fractions.

Determine asymptotes and holes of rational functions, explain how each was found, and relate these behaviors to continui...

Add, subtract, multiply and divide rational expressions.

Solve polynomial and rational inequalities. Relate results to the behavior of the graphs.

Find the composite of two given functions and find the inverse of a given function. Extend this concept to discuss the i...

Simplify complex algebraic fractions (with/without variable expressions and integer exponents) to include expressing (f(...

Find the possible rational roots using the Rational Root Theorem.

Find the zeros of polynomial functions by synthetic division and the Factor Theorem.

Graph and solve quadratic inequalities.

Determine characteristics of graphs of parent functions (domain/range, increasing/decreasing intervals, intercepts, symm...

Determine the end behavior of polynomial functions.

Graph piecewise-defined functions and determine continuity or discontinuities.

Describe the attributes of graphs and the general equations of parent functions (linear, quadratic, cubic, absolute valu...

Explain the effects of changing the parameters in transformations of functions.

Predict the shapes of graphs of exponential, logarithmic, rational, and piece-wise functions, and verify the prediction ...

Relate symmetry of the behavior of even and odd functions.

Express sequences and series using recursive and explicit formulas.

Evaluate and apply formulas for arithmetic and geometric sequences and series.

Calculate limits based on convergent and divergent series.

Evaluate and apply infinite geometric series.

Extend the meaning of exponents to include rational numbers.

Simplify expressions with fractional exponents to include converting from radicals.

Factor algebraic expressions containing fractional exponents.

Analyze expressions in summation and factorial notation to solve problems.

Prove statements using mathematical induction.

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph o...

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear ...

Create equations in two variables to represent relationships between quantities; graph equations on coordinate axes with...

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the so...

Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic f...

Given a system of two equations in two variables, show and explain why the sum of equivalent forms of the equations prod...

Solve systems of linear equations algebraically, exactly using algebraic processes and approximately (e.g., graphically)...

Solve linear equations and inequalities with rational number coefficients, including those whose solutions require expan...

Write a function that describes a relationship between two quantities; and be able to calculate and interpret the averag...

Construct linear functions, given a graph, a description of a relationship, or two input-output pairs (include reading t...

Recognize volume as an attribute of solid figures and understand concepts of volume measurement wherein a cube with a si...

Recognize volume as an attribute of solid figures and understand concepts of volume measurement wherein a solid figure w...

State and apply the formal definition of a derivative.

Apply differentiation rules to sums, products, quotients, and powers of functions.

Use the chain rule and implicit differentiation.

Describe the relationship between differentiability and continuity.

Define a derivative and explain the purpose/utility of the derivative.

Apply the derivative as a rate of change in varied contexts, including velocity, speed, and acceleration.

Apply the derivative to find tangent lines and normal lines to given curves at given points.

Predict and explain the relationships between functions and their derivatives.

Model rates of change to solve related rate problems.

Solve optimization problems.

State and apply the First and Second Fundamental Theorem of Calculus.

Apply the power rule and u-substitution to evaluate indefinite integrals.

Predict and explain the characteristics and behavior of functions and their graphs (domain, range, increasing/decreasing...

Investigate, describe, and determine asymptotic behavior using tables, graphs, and analytical methods

Determine and justify the continuity and discontinuity of functions

Solve mathematical situations and application problems involving or using derivatives, including exponential, logarithmi...

Calculate limits using algebraic methods.

Verify the behavior and direction of non-determinable limits.

Demonstrate and explain the differences between average and instantaneous rates of change.

Apply differentiation techniques to curve sketching

Apply Rolle’s Theorem and the Mean Value Theorem and their geometric consequences.

Identify and apply local linear approximations.

Analyze curves with attention to non-decreasing functions (monotonicity) and concavity.

Estimate limits from graphs or tables.

Estimate numerical derivatives from graphs or tables of data.

Prove statements using mathematical induction.

Apply integration to solve problems of area.

Utilize integrals to model and find solutions to real-world problems such as calculating displacement and total distance...

Interpret the concept of definite integral as a limit of Riemann sums over equal subdivisions.

Graph the solution point of an equation and the solution set of an inequality in one variable on a horizontal number lin...

Justify when linear equations in one variable will yield one solution, infinitely many solutions, or no solution. (8.EE....

Create expressions that can be modeled by a real-world context.

Describe and identify a polynomial of degree one, two, three, and four by examining a polynomial expression or a graph.

Add and subtract polynomials using appropriate strategies (e.g.,by using Algebra Tiles).

Factor polynomials using the greatest common factor and factor quadratics that have only rational zeros.

Justify why some polynomials are prime over the rational number system.

Use the zeros of a polynomial to construct a rough graph of the function. (A-APR.3)

Simplify and evaluate numerical and algebraic expressions. (7.EE.1)

Compare and contrast an expression and an equation and give examples of each.

Given an equation, solve for a specified variable of degree one (i.e., isolate a variable). (6.EE.7, 7.EE.4)

Fluently solve and check multi-step equations and inequalities with an emphasis on the distributive property, variables ...

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rationa...

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rationa...

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of...

Compare and contrast a function and a relation. Use appropriate strategies to assess whether a given situation represent...

Determine the rate of change of a linear function from a description of a relationship or from two (x, y) values, includ...

Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of...

Create and graph the equation of a linear function given the rate of change and y-intercept. Compare and contrast up to ...

Given two points, a graph, a table of values, a mapping diagram, or a real-world context, determine the linear function ...

Create and identify the parent function for linear and quadratic functions in the Coordinate Plane.

Compare the properties of two functions, each represented in a different way (algebraically, graphically, numerically in...

Describe the following characteristics of linear and quadratic parent functions by inspection: domain/range, increasing/...

Graph a system of two functions, f(x) and g(x), on the same Coordinate Plane by hand for simple cases, and with technolo...

With accuracy, graph the solutions to a linear inequality in two variables as a half-plane, and graph the solution set t...

Identify real-world contexts that can be modeled by a system of inequalities in two variables. (Limited to three inequal...

Identify when systems of equations and inequalities have constraints. (A-CED.3)

Perform simple translations on linear functions given in a variety of forms (e.g., two points, a graph, a table of value...

Given the graph of function in the form f(x)+ k, kf(x), f(kx), or f(x + k) , where k belongs to the set of integers, ide...

Identify and graph real-world contexts that can be modeled by a quadratic equation.

Solve quadratic equations in standard form by factoring, graphing, using tables, and the Quadratic Formula. Know when th...

Understand the relationship between the constants of a quadratic equation and the attributes of the graph. Recognize the...

Explain and apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathema...

Fluently use formulas and/or appropriate measuring tools to find length and angle measures, perimeter, area, volume, and...

Solve real-world and mathematical problems involving two- and three-dimensional objects composed of triangles, quadrilat...

Without technology, fluently calculate the measures of central tendency (mean, median, mode), measures of spread (range,...

Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two ...

Know when it is and is not appropriate to use a linear model to make predictions about a data set beyond a given set of ...

For scatter plots that suggest a linear association, informally fit a straight line and predict the equation for the lin...

Justify the relationship between the correlation coefficient and the rate of change for the line of best fit.

Understand the difference between correlation and causation and identify real-world contexts that depict each of them. (...

Determine an explicit expression or steps for calculation from a context.

Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (bot...

Use the fact that sequences are functions whose domain is a subset of the integers to identify sequences and generate th...

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms o...

Graph square root and piecewise-defined functions, including absolute value functions.

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central,...

Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, py...

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems and rewrite expression...

Represent and analyze data with plots on the real number line (dot plots, histograms, and box plots). *