Algebra II (Ohio's Learning Standards)

Your Teacher Information Pack for Algebra II in Ohio: the standards with their official codes, the state tests and the official links. Check what you're teaching and plan a lesson.

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The standards (our summaries)

Ohio's official codes with our own short summaries (not the official wording). Each code links to the official document.

High School: Number and Quantity

The Real Number System (N.RN)

• N.RN.1 Explain how rational exponents are defined so the properties of integer exponents still hold.
• N.RN.2 Rewrite expressions with radicals and rational exponents using exponent properties.
• N.RN.3 Explain when sums and products of rational and irrational numbers are rational or irrational.

The Complex Number System (N.CN)

• N.CN.1 Know the imaginary unit i with i² = −1 and that complex numbers have the form a + bi.
• N.CN.2 Add, subtract and multiply complex numbers using i² = −1 and properties of operations.
• N.CN.3 Find complex conjugates and use them to find moduli and quotients.
• N.CN.7 Solve quadratic equations with real coefficients that have complex solutions.
• N.CN.8 Extend polynomial identities to complex numbers, e.g. factor x² + 4.
• N.CN.9 Know the Fundamental Theorem of Algebra and show it holds for quadratics.

High School: Algebra

Seeing Structure in Expressions (A.SSE)

• A.SSE.1 Interpret expressions that represent a quantity in context.
  • a. Interpret terms, factors and coefficients.
  • b. Interpret complicated expressions by viewing parts as single entities.
• A.SSE.2 Use the structure of an expression to rewrite it, e.g. as a difference of squares.
• A.SSE.3 Choose and produce an equivalent form of an expression that reveals properties of the quantity.
  • c. Use exponent properties to transform exponential expressions.
• A.SSE.4 Derive the formula for the sum of a finite geometric series and use it to solve problems.

Arithmetic with Polynomials and Rational Expressions (A.APR)

• A.APR.1 Understand that polynomials are closed under addition, subtraction and multiplication; add, subtract and multiply them.
  • b. Extend to polynomials beyond linear and quadratic.
• A.APR.2 Know the Remainder Theorem: dividing p(x) by x − a leaves p(a), so p(a) = 0 means x − a is a factor.
• A.APR.3 Find zeros of polynomials when suitable factorizations exist and use them to sketch a rough graph.
• A.APR.5 Use the Binomial Theorem to expand (x + y)^n for positive integers n.
• A.APR.6 Rewrite simple rational expressions as quotient plus remainder over divisor, by division or technology.
• A.APR.7 Understand rational expressions form a system like rational numbers; add, subtract, multiply and divide them.

Creating Equations (A.CED)

• A.CED.1 Create one-variable equations and inequalities from linear, quadratic, rational and exponential functions and solve problems.
  • c. Extend to more complicated functions, solving with technology if needed.
• A.CED.2 Create equations in two or more variables for relationships and graph them on labeled, scaled axes.
  • c. Extend to more complicated functions, graphing with technology if needed.
• A.CED.3 Represent constraints with equations, inequalities or systems and judge whether solutions are viable.
  • a. Use more complex contexts, though functions are often linear or quadratic.
• A.CED.4 Rearrange formulas to highlight a quantity of interest.
  • d. Use more complex contexts beyond linear, exponential or quadratic functions.

Reasoning with Equations and Inequalities (A.REI)

• A.REI.2 Solve simple rational and radical equations in one variable and show how extraneous solutions arise.
• A.REI.6 Solve systems of linear equations exactly and approximately, e.g. with graphs.
  • b. Extend to systems of three linear equations in three variables, solved algebraically. (+)
• A.REI.11 Explain why intersection x-values solve f(x) = g(x) and find approximate solutions.

High School: Functions

Interpreting Functions (F.IF)

• F.IF.4 Interpret key features of graphs and tables in context and sketch graphs from descriptions.
• F.IF.5 Relate a function's domain to its graph and to the quantities it describes.
  • c. Emphasize choosing a function type suited to the data and context.
• F.IF.6 Calculate and interpret average rate of change from a formula or table and estimate it from a graph.
• F.IF.7 Graph functions from symbols and show key features, by hand or with technology.
  • c. Graph square root, cube root, piecewise, step and absolute value functions.
  • d. Graph polynomials, showing zeros when factorable and end behavior.
  • f. Graph exponential and trig functions: intercepts, end behavior, period, midline, amplitude.
  • g. Graph rational functions: zeros, asymptotes and end behavior.
  • h. Graph logarithmic functions: intercepts and end behavior.
• F.IF.8 Write a function in different but equivalent forms to reveal its properties.
  • a. Use factoring and completing the square for zeros, extremes and symmetry.
  • b. Use exponent properties to interpret growth or decay rates.
• F.IF.9 Compare properties of two functions represented in different ways.

Building Functions (F.BF)

• F.BF.1 Write a function that describes a relationship between two quantities.
  • b. Combine standard functions with arithmetic operations.
  • c. Compose functions.
• F.BF.3 Identify the effect on a graph of replacing f(x) by f(x) + k, kf(x), f(kx) and f(x + k); find k from graphs.
• F.BF.4 Find inverse functions.
  • b. Read values of an inverse from a graph or table.
  • c. Verify inverses by composition.
  • d. Find an inverse algebraically when one exists.

Linear, Quadratic, and Exponential Models (F.LE)

• F.LE.4 Write exponential solutions as logarithms with base 2, 10 or e and evaluate with technology.

High School: Geometry

Similarity, Right Triangles, and Trigonometry (G.SRT)

• G.SRT.8 Solve applied right-triangle problems with trig ratios and the Pythagorean Theorem.
  • b. Solve applied right-triangle problems using trig ratios and the Pythagorean Theorem.
• G.SRT.9 Derive the formula A = ½ab sin C for triangle area by drawing an auxiliary line.
• G.SRT.10 Explain proofs of the Laws of Sines and Cosines and use them to solve problems.
  • a. Extend trig ratios to obtuse angles.
• G.SRT.11 Use the Laws of Sines and Cosines to find unknown measures in right and non-right triangles.

High School: Statistics and Probability

Interpreting Categorical and Quantitative Data (S.ID)

• S.ID.6 Show two quantitative variables on a scatter plot and describe how they relate.
  • a. Fit a function to data, mainly linear, quadratic and exponential.
  • b. Assess fit informally by looking at residuals.

Tests and key dates

• Ohio's State Tests (OST)

Check the Ohio Department of Education and Workforce for which grades are tested and this year's testing dates (we have not yet confirmed every detail above on the official site).

Official documents

• education.ohio.gov: ALGEBRA 2 MATH 3 Standards.pdf.aspx?lang=en US
• education.ohio.gov: Ohio s Learning Standards in Mathematics
• education.ohio.gov: English Language Arts Standards
• education.ohio.gov: ELA Learning Standards 2017.pdf.aspx?lang=en US

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