Kentucky Academic Standards

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Standards for Mathematical Practices

Standards for Mathematical Practices
MP.1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MP.2. Reason abstractly and quantitatively.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MP.7. Look for and make use of structure.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MP.8. Look for and express regularity in repeated reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 

Conceptual Category Number and Quantity

Conceptual Category Number and Quantity
Number and Quantity—The Real Number System
Cluster: Use properties of rational and irrational numbers.
KY.HS.N.3(+). Justify 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. (MP.3, MP.6)
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
Cluster: Extend the properties of exponents to rational exponents.
KY.HS.N.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents. (MP.7)
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 

Conceptual Category Algebra

Conceptual Category Algebra
Algebra—Reasoning with Equations and Inequalities
Cluster: Represent and solve equations and inequalities graphically.
KY.HS.A.24. Justify that the solutions of the equations f(x)=g(x) are the x-coordinates of the points where the graphs of y=f(x) and y=g(x) intersect. Find the approximate solutions graphically, using technology or tables. (MP.3, MP.5)
Flip Charts Math Grade 8
 
KY.HS.A.25. Graph linear inequalities in two variables. (MP.5, MP.6)
KY.HS.A.25.a. Graph the solutions to a linear inequality as a half-plane (excluding the boundary in the case of a strict inequality).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Cluster: Solve equations and inequalities in one variable.
KY.HS.A.18. Solve linear equations and inequalities in one variable, including literal equations with coefficients represented by letters. (MP.2, MP.7)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Cluster: Solve systems of equations.
KY.HS.A.20. Solve systems of linear equations in two variables. (MP.3, MP.6)
KY.HS.A.20.a. Understand a system of two equations in two variables has the same solution as a new system formed by replacing one of the original equations with an equivalent equation.
Flip Charts Math Grade 8
 
KY.HS.A.20.b. Solve systems of linear equations with graphs, substitution and elimination, focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
Cluster: Understand solving equations as a process of reasoning and explain the reasoning.
KY.HS.A.16. Understand each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. (M
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Algebra—Arithmetic with Polynomials and Rational Expressions
Cluster: Perform arithmetic operations on polynomials.
KY.HS.A.5. Add, subtract and multiply polynomials. (MP.7, MP.8)
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
Algebra—Creating Equations
Cluster: Create equations that describe numbers or relationships.
KY.HS.A.12. Create equations and inequalities in one variable and use them to solve problems. (MP.1, MP.4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
KY.HS.A.13. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. (MP.2, MP.5)
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
KY.HS.A.14. Create a system of equations or inequalities to represent constraints within a modeling context. Interpret the solution(s) to the corresponding system as viable or nonviable options within the context. (MP.4, MP.5)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
KY.HS.A.15. Rearrange formulas to solve a literal equation, highlighting a quantity of interest, using the same reasoning as in solving equations. (MP.2, MP.7)
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
Algebra—Seeing Structure in Expressions
Cluster: Write expressions in equivalent forms to solve problems.
KY.HS.A.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. (MP.5, MP.7)
KY.HS.A.3.c. Use the properties of exponents to rewrite exponential expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 

Conceptual Category Functions

Conceptual Category Functions
Functions—Building Functions
Cluster: Build a function that models a relationship between two quantities.
KY.HS.F.6. Write a function that describes a relationship between two quantities. (MP.4, MP.7)
KY.HS.F.6.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
KY.HS.F.7. Use arithmetic and geometric sequences to model situations and scenarios. (MP.4, MP.8)
KY.HS.F.7.a. Use formulas (explicit and recursive) to generate terms for arithmetic and geometric sequences.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
Functions—Linear, Quadratic and Exponential Functions
Cluster: Construct and compare linear, quadratic and exponential models and solve problems.
KY.HS.F.11. Distinguish between situations that can be modeled with linear functions and with exponential functions. (MP.3, MP.8)
KY.HS.F.11.a. Recognize and justify that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Functions—Interpreting Functions
Cluster: Interpret functions that arise in applications in terms of the context.
KY.HS.F.3. Understand average rate of change of a function over an interval. (MP.2, MP.4)
KY.HS.F.3.a. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
KY.HS.F.3.b. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Cluster: Analyze functions using different representations.
KY.HS.F.4. Graph functions expressed symbolically and show key features of the graph, with and without using technology (computer, graphing calculator). (MP.4, MP.5)
KY.HS.F.4.a. Graph linear and quadratic functions and show intercepts, maxima and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
KY.HS.F.5. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. (MP.3, MP.6)
KY.HS.F.5.b. Use the properties of exponents to interpret expressions for exponential functions and classify the exponential function as representing growth or decay.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
Cluster: Understand the concept of a function and use function notation.
KY.HS.F.1. Understand properties and key features of functions and the different ways functions can be represented. (MP.2, MP.4, MP.7)
KY.HS.F.1.a. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f c
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
KY.HS.F.1.c. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities and sketch graphs showing key features given a verbal description of the relationship.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
KY.HS.F.2. Recognize that arithmetic and geometric sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (MP.7, MP.8)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 

Conceptual Category Geometry

Conceptual Category Geometry
Geometry—Geometric Measurement and Dimensions
Cluster: Explain volume formulas and use them to solve problems.
KY.HS.G.25. Analyze and determine the validity of arguments for the formulas for the various figures and shapes. (MP.3, MP.7)
KY.HS.G.25.a. Finding the circumference and area of a circle.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
KY.HS.G.25.b. Finding the volume of a sphere, prism, cylinder, pyramid and cone.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
KY.HS.G.27. Use volume formulas to solve problems for cylinders, pyramids, cones, spheres, prisms. (MP.4, MP.6)
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
Geometry—Similarity, Right Triangles and Trigonometry
Cluster: Prove theorems involving similarity.
KY.HS.G.11. Understand theorems about triangles. (MP.1, MP.3)
KY.HS.G.11.c. Use similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
Cluster: Understand similarity in terms of similarity transformations.
KY.HS.G.9. Understand properties of dilations. (MP.5, MP.7)
KY.HS.G.9.a. Verify the properties that result from that dilations given by a center and a scale factor.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
KY.HS.G.9.b. Verify that a dilation produces an image that is similar to the pre-image.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
Geometry—Expressing Geometric Properties with Equations
Cluster: Use coordinates to prove simple geometric theorems algebraically.
KY.HS.G.24. Use coordinates within the coordinate plane to calculate measurements of two dimensional figures. (MP.2, MP.4)
KY.HS.G.24.a. Compute the perimeters of various polygons.
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
KY.HS.G.24.b. Compute the areas of triangles, rectangles and other quadrilaterals.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
Geometry—Congruence
Cluster: Experiment with transformations in the plane.
KY.HS.G.1. Know and apply precise definitions of the language of Geometry: (MP.3, MP.6)
KY.HS.G.1.a. Understand properties of line segments, angles and circle.
Flip Charts Math Grade 8
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
KY.HS.G.1.b. Understand properties of and differences between perpendicular and parallel lines.
Flip Charts Math Grade 8
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
KY.HS.G.2. Representing transformations in the plane. (MP.5, MP.7)
KY.HS.G.2.b. Compare transformations that preserve distance and angle measures to those that do not.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
KY.HS.G.2.c. Given a rectangle, parallelogram, trapezoid, or regular polygon, formally describe the rotations and reflections that carry it onto itself, using properties of these figures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
KY.HS.G.3(+). Develop formal definitions of rotations, reflections and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments. (MP.6, MP.7)
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
KY.HS.G.4. Understand the effects of transformations of geometric figures. (MP.2, MP.8)
KY.HS.G.4.a. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
KY.HS.G.4.c. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure. Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 

Conceptual Category Statistics and Probability

Conceptual Category Statistics and Probability
Statistics and Probability—Conditional Probability and the Rules of Probability
Cluster: Use the rules of probability to compute probabilities of compound events.
KY.HS.SP.19. Use permutations and combinations to compute probabilities. (MP.1, MP.8)
KY.HS.SP.19.a. Distinguish between situations that can be modeled using counting techniques, including Fundamental Counting Principle, permutations and combinations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
KY.HS.SP.19.b. Perform calculations using the appropriate counting technique, including simple probabilities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Cluster: Understand independence and conditional probability and use them to interpret data.
KY.HS.SP.15. Understand the concept of independence. (MP.1, MP.6)
KY.HS.SP.15.a. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their individual probabilities, P(A)×P(B).
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
KY.HS.SP.15.b. (+) Determine whether two events are independent and provide a justification to support the decision.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
KY.HS.SP.15.c. Recognize and explain the concept of independence in everyday language and everyday situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
KY.HS.SP.17(+). Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide whether events are independent and to approximate conditional probabilities. (
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
Statistics and Probability—Interpreting Categorical and Quantitative Data
Cluster: Interpret linear models.
KY.HS.SP.8. Understand the role and purpose of correlation in linear regression. (MP.5, MP.6)
KY.HS.SP.8.b. Interpret the meaning of the correlation within the context of the data.
Flip Charts Math Grade 8
 
Cluster: Summarize, represent and interpret data on two categorical and quantitative variables.
KY.HS.SP.5. Summarize categorical data for two or more categories in frequency tables. Calculate and interpret joint, marginal and conditional relative frequencies (probabilities) in the context of the data, recognizing possible associations and trends in the data. (
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data