This Teacher Resource Guide has been developed to provide supporting materials to help educators successfully implement the Indiana Academic Standards for Math 10. These resources are provided to help you in your work to ensure all students meet the rigorous learning expectations set by the Indiana Academic Standards. Use of these resources are optional; teachers should decide which resources will work best in their classroom for their students.
The resources on this webpage are for illustrative purposes only, to promote a base of clarity and common understanding. Each item illustrates a standard but please note that the resources are not intended to limit interpretation or classroom applications of the standards.
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Linear Equations and Inequalities 


2014 Indiana Academic Standards 
Activities, Examples, or Resources 
MA10.EI.1 Solve linear equations with rational number coefficients fluently, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Represent realworld problems using linear equations and inequalities in one variable and solve such problems. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. 

MA10. EI.2 Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by transforming a given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). 

MA10.EI.3 Represent realworld problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. 

MA10.EI.4 Represent realworld and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

MA10.EI.5 Represent realworld problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

MA10.EI.6 Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

MA10.EI.7 Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

MA10.EI.8 Solve absolute value linear equations in one variable. 

MA10.EI.9 Graph absolute value linear equations in two variables. 
FUNCTIONS 


2014 Indiana Academic Standards 
Activities, Examples, or Resources 
MA10.F.1 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. Describe similarities and differences between linear and nonlinear functions from tables, graphs, verbal descriptions, and equations. 

MA10.F.2 Construct a function to model a linear relationship between two quantities given a verbal description, table of values, or graph. Recognize in y = mx + b that m is the slope (rate of change) and b is the yintercept of the graph, and describe the meaning of each in the context of a problem. 

MA10.F.3 Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). 

MA10.F.4 Represent realworld problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. 

MA10.F.5 Translate among equivalent forms of equations for linear functions, including slopeintercept, pointslope, and standard. Recognize that different forms reveal more or less information about a given situation. 

MA10.F.6 Compare properties of two linear functions given in different forms, such as a table of values, equation, verbal description, and graph (e.g., compare a distancetime graph to a distancetime equation to determine which of two moving objects has greater speed). 
Comparing Linear Functions: Equation vs. Graph 
MA10.F.7 Understand that a function from one set (called the domain or independent variable) to another set (called the range or dependent variable) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph off is the graph of the equation y = f(x). 

MA10.F.8 Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

MA10.F.9 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

MA10.F.10 Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. 
Data Analysis, Statistics, and Probability 


2014 Indiana Academic Standards 
Activities, Examples, or Resources 
MA10.DASP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantitative variables. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. 

MA10.DASP.2 Represent sample spaces and find probabilities of compound events (independent and dependent) using methods, such as organized lists, tables, and tree diagrams. 

MA10.DASP.3 For events with a large number of outcomes, understand the use of the multiplication counting principle. Develop the multiplication counting principle and apply it to situations with a large number of outcomes. 

MA10.DASP.4 Distinguish between random and nonrandom sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and welldesigned experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

MA10.DASP.5 Understand that statistics and data are nonneutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

MA10.DASP.6 Find a linear function that models a relationship (with and without technology) for a bivariate data set to make predictions; interpret the slope and yintercept, and compute (with and without technology) and interpret the correlation coefficient. 

MA10.DASP.7 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a twoway table. Construct and interpret a twoway table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

MA10.DASP.8 Distinguish between correlation and causation. 
Number Sense, Expressions, and Computation 


2014 Indiana Academic Standards 
Activities, Examples, or Resources 
MA10.NSEC.1 Give examples of rational and irrational numbers and explain the difference between them. Understand that every number has a decimal expansion; for rational numbers, show that the decimal expansion terminates or repeats, and convert a decimal expansion that repeats into a rational number. 

MA10.NSEC.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, plot them approximately on a number line, and estimate the value of expressions involving irrational numbers. 

MA10.NSEC.3 Given a numeric expression with common rational number bases and integer exponents, apply the properties of exponents to generate equivalent expressions. 

MA10.NSEC.4 Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. 

MA10.NSEC.5 Simplify square roots of nonperfect square integers and algebraic monomials. 

MA10.NSEC.6 Solve realworld problems with rational numbers by using multiple operations. 

MA10.NSEC.7 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

MA10.NSEC.8 Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

MA10.NSEC.9 Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

MA10.NSEC.10 Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 
Adding and Subtracting Polynomials 
Systems of Equations and Inequalities 


2014 Indiana Academic Standards 
Activities, Examples, or Resources 
MA10.SEI.1 Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are noninteger numbers. 

MA10.SEI.2 Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. 

MA10.SEI.3 Write a system of two linear equations in two variables that represents a realworld problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

MA10.SEI.4 Represent realworld problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 
Quadratic and Exponential Equations and Functions 


2014 Indiana Academic Standards 
Activities, Examples, or Resources 
MA10.QEEF.1 Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model realworld situations using tables, graphs, and equations. 

MA10.QEEF.2 Graph exponential and quadratic equations in two variables with and without technology. 

MA10.QEEF.3 Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. 
Solving Quadratic Equations by Factoring 
MA10.QEEF.4 Represent realworld problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

MA10.QEEF.5 Use and apply the process of factoring to determine zeros (xintercepts and solutions), lines of symmetry, and extreme values in realworld and other mathematical problems involving quadratic functions; interpret the results in the realworld contexts. 
Solving Quadratics by Factoring 
MA10.QEEF.6 Represent realworld and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b ≠ 1 ); translate fluently among these representations and interpret the values of a and b. 
Geometry and Measurement 


2014 Indiana Academic Standards 
Activities, Examples, or Resources 
MA10.GM.1 Identify, define and describe attributes of threedimensional geometric objects (right rectangular prisms, cylinders, cones, spheres, and pyramids). Explore the effects of slicing these objects using appropriate technology and describe the twodimensional figure that results. 

MA10.GM.2 Solve realworld and other mathematical problems involving volume of cones, spheres, and pyramids and surface area of spheres. 

MA10.GM.3 Understand that a twodimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. Describe a sequence that exhibits the congruence between two given congruent figures. 

MA10.GM.4 Describe the effect of dilations, translations, rotations, and reflections on twodimensional figures using coordinates. 

MA10.GM.5 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in realworld and other mathematical problems in two dimensions. 

MA10.GM.6 Apply the Pythagorean Theorem to find the distance between two points in a coordinate plane. 