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OK.A1.Algebra 1 (A1)
Algebra 1 (A1)
A1.A. Algebraic Reasoning & Algebra (A)
A1.A.1. Represent and solve mathematical and real-world problems using linear equations, absolute value equations, and systems of equations; interpret solutions in the original context.
A1.A.1.3. Analyze and solve real-world and mathematical problems involving systems of linear equations with a maximum of two variables by graphing (may include graphing calculator or other appropriate technology), substitution, and elimination. Interpret the soluti
A1.A.2. Represent and solve real-world and mathematical problems using linear inequalities, compound inequalities and systems of linear inequalities; interpret solutions in the original context.
A1.A.2.1. Represent relationships in various contexts with linear inequalities; solve the resulting inequalities, graph on a coordinate plane, and interpret the solutions.
A1.A.2.2. Represent relationships in various contexts with compound and absolute value inequalities and solve the resulting inequalities by graphing and interpreting the solutions on a number line.
A1.A.3.5. Recognize that arithmetic sequences are linear using equations, tables, graphs, and verbal descriptions. Use the pattern, find the next term.
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
A1.A.3.6. Recognize that geometric sequences are exponential using equations, tables, graphs and verbal descriptions. Given the formula f(x) = a(r)^x, find the next term and define the meaning of a and r within the context of the problem.
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
A1.A.4. Analyze mathematical change involving linear equations in real-world and mathematical problems.
A1.A.4.1. Calculate and interpret slope and the x- and y-intercepts of a line using a graph, an equation, two points, or a set of data points to solve real-world and mathematical problems.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.A.4.3. Express linear equations in slope-intercept, point-slope, and standard forms and convert between these forms. Given sufficient information (slope and y-intercept, slope and one-point on the line, two points on the line, x- and y-intercept, or a set of dat
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.A.4.4. Translate between a graph and a situation described qualitatively.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.D. Data & Probability (D)
A1.D.1. Display, describe, and compare data. For linear relationships, make predictions and assess the reliability of those predictions.
A1.D.1.2. Collect data and use scatterplots to analyze patterns and describe linear relationships between two variables. Using graphing technology, determine regression lines and correlation coefficients; use regression lines to make predictions and correlation coe
A1.D.2. Calculate probabilities and apply probability concepts.
A1.D.2.1. Select and apply counting procedures, such as the multiplication and addition principles and tree diagrams, to determine the size of a sample space (the number of possible outcomes) and to calculate probabilities.
A1.D.2.2. Describe the concepts of intersections, unions, and complements using Venn diagrams to evaluate probabilities. Understand the relationships between these concepts and the words AND, OR, and NOT.
A1.D.2.3. Calculate experimental probabilities by performing simulations or experiments involving a probability model and using relative frequencies of outcomes.
A1.F.3. Represent functions in multiple ways and use the representation to interpret real-world and mathematical problems.
A1.F.3.2. Use function notation; evaluate a function, including nonlinear, at a given point in its domain algebraically and graphically. Interpret the results in terms of real-world and mathematical problems.
A2.A.1. Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.
A2.A.1.1. Represent real-world or mathematical problems using quadratic equations and solve using various methods (including graphing calculator or other appropriate technology), factoring, completing the square, and the quadratic formula. Find non-real roots when
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
A2.A.1.2. Represent real-world or mathematical problems using exponential equations, such as compound interest, depreciation, and population growth, and solve these equations graphically (including graphing calculator or other appropriate technology) or algebraical
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
A2.A.1.7. Solve real-world and mathematical problems that can be modeled using arithmetic or finite geometric sequences or series given the nth terms and sum formulas. Graphing calculators or other appropriate technology may be used.
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
A2.A.1.8. Represent real-world or mathematical problems using systems of linear equations with a maximum of three variables and solve using various methods that may include substitution, elimination, and graphing (may include graphing calculators or other appropria
A2.A.2. Represent and analyze mathematical situations and structures using algebraic symbols using various strategies to write equivalent forms of expressions.
A2.A.2.2. Add, subtract, multiply, divide, and simplify polynomial and rational expressions.
A2.A.2.3. Recognize that a quadratic function has different equivalent representations [f(x) = ax^2 + bx + c, f(x) = a(x − h)^2 + k, and f(x) = (x − h)(x − k)]. Identify and use the representation that is most appropriate to solve real-world and mathematical proble
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
A2.A.2.4. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
A2.D.1.2. Collect data and use scatterplots to analyze patterns and describe linear, exponential or quadratic relationships between two variables. Using graphing calculators or other appropriate technology, determine regression equation and correlation coefficients
A2.F.1. Understand functions as descriptions of covariation (how related quantities vary together).
A2.F.1.1. Use algebraic, interval, and set notations to specify the domain and range of functions of various types and evaluate a function at a given point in its domain.
A2.F.1.3. Graph a quadratic function. Identify the x- and y-intercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include a graphing calculator or appropriate technology.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.F.1.4. Graph exponential and logarithmic functions. Identify asymptotes and x- and y-intercepts using various methods and tools that may include graphing calculators or other appropriate technology. Recognize exponential decay and growth graphically and algebrai
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.F.1.5. Analyze the graph of a polynomial function by identifying the domain, range, intercepts, zeros, relative maxima, relative minima, and intervals of increase and decrease.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.F.1.6. Graph a rational function and identify the x- and y-intercepts, vertical and horizontal asymptotes, using various methods and tools that may include a graphing calculator or other appropriate technology. (Excluding slant or oblique asymptotes and holes.)
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.F.1.7. Graph a radical function (square root and cube root only) and identify the x- and y-intercepts using various methods and tools that may include a graphing calculator or other appropriate technology.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.F.1.8. Graph piecewise functions with no more than three branches (including linear, quadratic, or exponential branches) and analyze the function by identifying the domain, range, intercepts, and intervals for which it is increasing, decreasing, and constant.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.N. Number & Operations (N)
A2.N.1. Extend the understanding of number and operations to include complex numbers, matrices, radical expressions, and expressions written with rational exponents.
A2.N.1.4. Understand and apply the relationship of rational exponents to integer exponents and radicals to solve problems.
G.2D.1. Discover, evaluate and analyze the relationships between lines, angles, and polygons to solve real-world and mathematical problems; express proofs in a form that clearly justifies the reasoning, such as two-column proofs, paragraph proofs, flow charts, or
G.2D.1.1. Apply the properties of parallel and perpendicular lines, including properties of angles formed by a transversal, to solve real-world and mathematical problems and determine if two lines are parallel, using algebraic reasoning and proofs.
G.2D.1.2. Apply the properties of angles, including corresponding, exterior, interior, vertical, complementary, and supplementary angles to solve real-world and mathematical problems using algebraic reasoning and proofs.
Quiz, Flash Cards, Worksheet, Game & Study GuideFinding Volume
G.2D.1.5. Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints, and slopes of line segments.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlane figures
G.2D.1.6. Apply the properties of polygons to solve real-world and mathematical problems involving perimeter and area (e.g., triangles, special quadrilaterals, regular polygons up to 12 sides, composite figures).
G.2D.1.9. Use numeric, graphic and algebraic representations of transformations in two dimensions, such as reflections, translations, dilations, and rotations about the origin by multiples of 90 ̊, to solve problems involving figures on a coordinate plane and ident
G.3D.1. Solve real-world and mathematical problems involving three-dimensional figures.
G.3D.1.1. Solve real-world and mathematical problems using the surface area and volume of prisms, cylinders, pyramids, cones, spheres, and composites of these figures. Use nets, measuring devices, or formulas as appropriate.
G.3D.1.2. Use ratios derived from similar three-dimensional figures to make conjectures, generalize, and to solve for unknown values such as angles, side lengths, perimeter or circumference of a face, area of a face, and volume.
G.C.1. Solve real-world and mathematical problems using the properties of circles.
G.C.1.1. Apply the properties of circles to solve problems involving circumference and area, approximate values and in terms of !, using algebraic and logical reasoning.
G.C.1.2. Apply the properties of circles and relationships among angles; arcs; and distances in a circle among radii, chords, secants and tangents to solve problems using algebraic and logical reasoning.
G.C.1.3. Recognize and write the radius r, center (h, k), and standard form of the equation of a circle (x − h)^2 + (y − k)^2 = r^2 with and without graphs.
G.RT. Geometry: Right Triangle Trigonometry (G.RT)
G.RT.1. Develop and verify mathematical relationships of right triangles and trigonometric ratios to solve real-world and mathematical problems.
G.RT.1.1. Apply the distance formula and the Pythagorean Theorem and its converse to solve real-world and mathematical problems, as approximate and exact values, using algebraic and logical reasoning (include Pythagorean Triples).
G.RT.1.2. Verify and apply properties of right triangles, including properties of 45-45-90 and 30-60-90 triangles, to solve problems using algebraic and logical reasoning.
G.RT.1.4. Apply the trigonometric functions as ratios (sine, cosine, and tangent) to find side lengths in right triangles in real-world and mathematical problems.
PA.A.1. Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions.
PA.A.1.1. Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable.
PA.A.2. Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols, and graphs; solve problems involving linear functions and interpret results in the original con
PA.A.2.2. Identify, describe, and analyze linear relationships between two variables.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
PA.A.2.3. Identify graphical properties of linear functions including slope and intercepts. Know that the slope equals the rate of change, and that the y-intercept is zero when the function represents a proportional relationship.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
PA.A.4. Represent real-world and mathematical problems using equations and inequalities involving linear expressions. Solve and graph equations and inequalities symbolically and graphically. Interpret solutions in the original context.
PA.A.4.1. Illustrate, write, and solve mathematical and real-world problems using linear equations with one variable with one solution, infinitely many solutions, or no solutions. Interpret solutions in the original context.
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
PA.A.4.2. Represent, write, solve, and graph problems leading to linear inequalities with one variable in the form px + q > r and px + q < r, where p, q, and r are rational numbers.
PA.D.1. Display and interpret data in a variety of ways, including using scatterplots and approximate lines of best fit. Use line of best fit and average rate of change to make predictions and draw conclusions about data.
PA.D.1.1. Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Know how to create data displays using a spreadsheet and use a calculator to examine this impact.
PA.D.1.3. Collect, display and interpret data using scatterplots. Use the shape of the scatterplot to informally estimate a line of best fit, make statements about average rate of change, and make predictions about values not in the original data set. Use appropria
PA.D.2. Calculate experimental probabilities and reason about probabilities to solve real-world and mathematical problems.
PA.D.2.1. Calculate experimental probabilities and represent them as percents, fractions and decimals between 0 and 1 inclusive. Use experimental probabilities to make predictions when actual probabilities are unknown.
PA.GM.1. Solve problems involving right triangles using the Pythagorean Theorem.
PA.GM.1.1. Informally justify the Pythagorean Theorem using measurements, diagrams, or dynamic software and use the Pythagorean Theorem to solve problems in two and three dimensions involving right triangles.
PA.GM.2.2. Calculate the surface area of a cylinder, in terms of π and using approximations for π, using decomposition or nets. Use appropriate measurements such as cm^2.
PA.GM.2.3. Develop and use the formulas V = lwh and V = bh to determine the volume of rectangular prisms. Justify why base area (B) and height (h) are multiplied to find the volume of a rectangular prism. Use appropriate measurements such as cm^3.
PA.GM.2.4. Develop and use the formulas V = πr^2h and V = Bh to determine the volume of right cylinders, in terms of π and using approximations for π. Justify why base area (B) and height (h) are multiplied to find the volume of a right cylinder. Use appropriate mea
PA.N.1. Read, write, compare, classify, and represent real numbers and use them to solve problems in various contexts.
PA.N.1.1. Develop and apply the properties of integer exponents, including a^0 = 1 (with a ≠ 0), to generate equivalent numerical and algebraic expressions.
PA.N.1.4. Classify real numbers as rational or irrational. Explain why the rational number system is closed under addition and multiplication and why the irrational system is not. Explain why the sum of a rational number and an irrational number is irrational; and
PA.N.1.5. Compare real numbers; locate real numbers on a number line. Identify the square root of a perfect square to 400 or, if it is not a perfect square root, locate it as an irrational number between two consecutive positive integers.