Integrated Math II (Ohio's Learning Standards)

Your Teacher Information Pack for Math 2 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: 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.
  • a. Factor a quadratic to reveal the function's zeros.
  • b. Complete the square to reveal a maximum or minimum.
  • c. Use exponent properties to transform exponential expressions.

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.
  • a. Algebra 1 focus: polynomials that simplify to linear or quadratic.

Creating Equations (A.CED)

• A.CED.1 Create one-variable equations and inequalities from linear, quadratic, rational and exponential functions and solve problems.
  • b. Focus on simple quadratic expressions.
• A.CED.2 Create equations in two or more variables for relationships and graph them on labeled, scaled axes.
  • b. Focus on simple quadratic expressions.
• A.CED.4 Rearrange formulas to highlight a quantity of interest.
  • c. Math 2 focus: rearrange formulas (e.g. circle area) where the variable is linear or squared.

Reasoning with Equations and Inequalities (A.REI)

• A.REI.4 Solve quadratic equations in one variable.
  • a. Complete the square to rewrite as (x − p)² = q.
  • b. Solve by inspection, square roots, completing the square, the quadratic formula or factoring.
  • c. Derive the quadratic formula by completing the square. (+)
• A.REI.7 Solve a simple system of a linear and a quadratic equation algebraically and graphically.
• 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.
  • b. Focus on linear, quadratic and exponential functions.
• F.IF.5 Relate a function's domain to its graph and to the quantities it describes.
  • b. Focus on linear, quadratic and exponential functions.
• F.IF.7 Graph functions from symbols and show key features, by hand or with technology.
  • b. Graph quadratic functions and show intercepts, maxima and minima.
• 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.
  • a.i. Focus on completing the square when the leading coefficient is 1.
  • b. Use exponent properties to interpret growth or decay rates.
  • b.i. Focus on exponential functions evaluated at integer inputs.
• F.IF.9 Compare properties of two functions represented in different ways.
  • b. Focus on linear, quadratic and exponential functions.

Building Functions (F.BF)

• F.BF.1 Write a function that describes a relationship between two quantities.
  • a. Find an explicit expression, recursive process or steps from context.
  • a.ii. Focus on situations with quadratic or exponential relationships.
• 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.
  • a. Focus on quadratic graphs, not f(kx).

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

• F.LE.3 Show with graphs and tables that exponential growth eventually exceeds linear or quadratic growth.

High School: Geometry

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

• G.SRT.1 Verify by experiment the properties of dilations given by a center and scale factor.
  • a. A dilation maps a line not through the center to a parallel line.
  • b. A dilated segment's length changes by the scale factor.
• G.SRT.2 Use similarity transformations to decide if figures are similar and explain triangle similarity.
• G.SRT.3 Use properties of similarity transformations to establish the AA criterion.
• G.SRT.4 Prove and apply theorems about triangles, including proportional sides and the Pythagorean Theorem by similarity.
• G.SRT.5 Use congruence and similarity criteria to solve problems and prove relationships in figures.
• G.SRT.6 Understand that side ratios in right triangles depend on the angles, defining trig ratios for acute angles.
• G.SRT.7 Explain and use the relationship between sine and cosine of complementary angles.
• G.SRT.8 Solve applied right-triangle problems with trig ratios and the Pythagorean Theorem.
  • a. Solve applied problems given an acute angle and a side length.

Circles (G.C)

• G.C.1 Prove that all circles are similar using transformations.
• G.C.5 Find arc lengths and areas of sectors of circles.
  • a. Use similarity to relate arc length to radius and solve problems.
  • b. Derive and use the formula for sector area.

Expressing Geometric Properties with Equations (G.GPE)

• G.GPE.1 Derive the equation of a circle from center and radius and complete the square to find them.
• G.GPE.4 Use coordinates to prove simple geometric theorems, e.g. that a figure is a rectangle.
• G.GPE.6 Find the point on a directed segment that divides it in a given ratio.

Geometric Measurement and Dimension (G.GMD)

• G.GMD.1 Give informal arguments for formulas for circumference, circle area and volumes of cylinders, pyramids and cones.
• G.GMD.3 Use volume formulas for cylinders, pyramids, cones and spheres to solve problems.
• G.GMD.4 Identify cross-sections of 3D objects and solids made by rotating 2D shapes.
• G.GMD.5 Understand how changing lengths or angles gives similar or non-similar figures.
• G.GMD.6 Know that scaling similar figures by k multiplies lengths by k, areas by k² and volumes by k³.

Modeling with Geometry (G.MG)

• G.MG.1 Use shapes, their measures and properties to describe objects, e.g. a tree trunk as a cylinder.
• G.MG.2 Apply density based on area and volume in modeling, e.g. people per square mile.
• G.MG.3 Use geometric methods to solve design problems, e.g. meeting constraints or minimizing cost.

High School: Statistics and Probability

Conditional Probability and the Rules of Probability (S.CP)

• S.CP.1 Describe events as subsets of a sample space using and, or and not.
• S.CP.2 Understand that A and B are independent when P(A and B) = P(A)·P(B).
• S.CP.3 Understand conditional probability and interpret independence with it.
• S.CP.4 Build and read two-way tables to decide independence and find conditional probabilities.
• S.CP.5 Explain conditional probability and independence in everyday language and situations.
• S.CP.6 Find P(A given B) as the fraction of B's outcomes that also belong to A.
• S.CP.7 Apply the Addition Rule and interpret the answer in terms of the model.
• S.CP.8 Apply the general Multiplication Rule in a uniform model and interpret the answer.
• S.CP.9 Use permutations and combinations to find probabilities of compound events.

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: MATH 2 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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