Posted: Tue, 05/15/2018 - 1:21pm Updated: Tue, 05/15/2018 - 1:29pm

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 real-world 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).

Number of Solutions to Equations

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

Properties of Equalities

Solving Linear Inequalities

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

Connect Proportions to Real-World Situations

MA10.EI.5   Represent real-world 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.

Linear Inequalities in Two Variables

Systems of Inequalities Word Problems

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.

Solve a Compound Inequality

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

Solving Literal Equations Methods

Solving Literal Equations

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

Intro to Absolute Value Equations and Graphs

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

Graphing Absolute-Value Functions

Graphing Absolute Value Functions Video

 

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.

Comparing Linear and Nonlinear Functions

Linear and Nonlinear Functions: Table

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 y-intercept 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).

Graphing a Linear Equation: y=2x+7

Modeling with Tables, Equations, and Graphs

MA10.F.4   Represent real-world 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.

Applications of Linear Functions

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

Converting from Slope-Intercept to Standard Form

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 distance-time graph to a distance-time equation to determine which of two moving objects has greater speed).

Comparing Linear Functions: Equation vs. Graph

Comparing Speeds in Graphs and Equations

Speed, Velocity, and Distance-Time Graphs

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).

Dependent and Independent Variables

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

Functions: Domain and Range

Finding the Domain and Range of Functions

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.

Tides

Distance

Bike Race

Riding by the Library

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.

Using Function Notation I

Function Notation and Evaluation

The Canoe Trip, Variation 1

 

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.

Texting and Grades I

Hand Span and Height

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.

Sitting Across from Each Other

Simple Events

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.

Basic Counting Principle

MA10.DASP.4 Distinguish between random and non-random 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 well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results.

Why Randomize?

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

The Average Switcheroo

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 y-intercept, and compute (with and without technology) and interpret the correlation coefficient.

Used Subaru Foresters I

MA10.DASP.7   Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table.  Construct and interpret a two-way 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.

Two-Way Frequency Tables

Musical Preferences

Two-way Relative Frequency Tables and Associations

MA10.DASP.8 Distinguish between correlation and causation.

Correlation vs. Causation: Differences and Definition

 

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.

Difference Between Rational and Irrational Numbers

Convert Decimals to Fractions

Convert Fractions to Decimals

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.

Ordering 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.

Properties of Exponents

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

 

MA10.NSEC.5   Simplify square roots of non-perfect square integers and algebraic monomials.

Simplifying Radicals

Simplifying Radicals Examples

MA10.NSEC.6   Solve real-world problems with rational numbers by using multiple operations.

Rational Number Word Problems

Fraction and Mixed Number Applications

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.

Sum/Product: Rationals or Irrationals

Sum/Product: Rationals and Irrationals

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

Positive and Negative Integer Exponents

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.

Factoring Completely Lessons

Factoring in Algebra

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

Multiplying Polynomials by Polynomials

Division of Polynomial by Monomial

 

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 non-integer numbers.

Solve a System of Equations by Graphing

Desmos Graphing Activity

Systems of Equations with Graphing

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.

Elimination Method for Solving Linear Systems

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

Applications of Linear Systems

MA10.SEI.4   Represent real-world 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.

Modeling with Systems of Inequalities

Systems of Inequalities Word Problems

 

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 real-world situations using tables, graphs, and equations.

Exponential vs. Linear Models: Verbal

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

Exponential Function Graph

Graphing a Quadratic Equation Desmos

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

Solving Quadratics by Taking Square Roots

The Quadratic Formula: A Sample Application

MA10.QEEF.4  Represent real-world 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.

Quadratic Word Problems: Projectile Motion

MA10.QEEF.5  Use and apply the process of factoring to determine zeros (x-intercepts and solutions), lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts.

Solving Quadratics by Factoring

Vertex & Axis of Symmetry of a Parabola

Soccer Ball Trajectory

MA10.QEEF.6 Represent real-world 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. 

Exponential Functions

Exponential Growth & Decay

 

Geometry and Measurement

2014 Indiana Academic Standards

Activities, Examples, or Resources

MA10.GM.1   Identify, define and describe attributes of three-dimensional geometric objects (right rectangular prisms, cylinders, cones, spheres, and pyramids).  Explore the effects of slicing these objects using appropriate technology and describe the two-dimensional figure that results.

Spinning Cone

Conic Section 3D Animation

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

Volume

Surface Area of Spheres

MA10.GM.3  Understand that a two-dimensional 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.

Composition of Transformations

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

Notation for Composite Transformations

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

Using the Pythagorean Theorem

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

Pythagorean’s Theorem on the Coordinate Plane Video