Integrated Math I (Ohio's Learning Standards)

Your Teacher Information Pack for Math 1 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

Quantities (N.Q)

• N.Q.1 Use units to guide multi-step problems and choose consistent units, scales and origins in graphs.
• N.Q.2 Define appropriate quantities for descriptive modeling.
• N.Q.3 Choose a level of accuracy suited to the limits of measurement.

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.3 Choose and produce an equivalent form of an expression that reveals properties of the quantity.
  • c. Use exponent properties to transform exponential expressions.

Creating Equations (A.CED)

• A.CED.1 Create one-variable equations and inequalities from linear, quadratic, rational and exponential functions and solve problems.
  • a. Focus on linear and simple exponential expressions.
• A.CED.2 Create equations in two or more variables for relationships and graph them on labeled, scaled axes.
  • a. Focus on linear and simple exponential expressions.
• A.CED.3 Represent constraints with equations, inequalities or systems and judge whether solutions are viable.
• A.CED.4 Rearrange formulas to highlight a quantity of interest.
  • b. Math 1 focus: formulas where the variable of interest appears linearly.

Reasoning with Equations and Inequalities (A.REI)

• A.REI.1 Explain each step in solving an equation as following from equality and justify the method.
• A.REI.3 Solve linear equations and inequalities in one variable, including literal coefficients.
• A.REI.5 Show that replacing one equation by its sum with a multiple of the other keeps a system's solutions.
• A.REI.6 Solve systems of linear equations exactly and approximately, e.g. with graphs.
  • a. Focus on pairs of linear equations in two variables.
• A.REI.10 Understand the graph of a two-variable equation as the set of all its solutions.
• A.REI.11 Explain why intersection x-values solve f(x) = g(x) and find approximate solutions.
• A.REI.12 Graph solutions of two-variable linear inequalities as half-planes and of systems as intersecting regions.

High School: Functions

Interpreting Functions (F.IF)

• F.IF.1 Understand a function as assigning each input exactly one output; f(x) is the output for x.
• F.IF.2 Evaluate functions in function notation and interpret statements in context.
• F.IF.3 Recognize sequences as functions with integer domains, sometimes defined recursively.
• F.IF.4 Interpret key features of graphs and tables in context and sketch graphs from descriptions.
  • a. Math 1 focus: key features of linear and exponential functions.
• F.IF.5 Relate a function's domain to its graph and to the quantities it describes.
  • a. Math 1 focus: domains of linear and exponential functions.
• F.IF.7 Graph functions from symbols and show key features, by hand or with technology.
  • a. Graph linear functions and show intercepts.
  • e. Graph simple exponential functions, showing intercepts and end behavior.
• F.IF.9 Compare properties of two functions represented in different ways.
  • a. Math 1 focus: compare linear 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.i. Focus on linear and exponential functions.
• F.BF.2 Write arithmetic and geometric sequences recursively and explicitly and translate between forms.
• F.BF.4 Find inverse functions.
  • a. Informally find the input for a given output.

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

• F.LE.1 Tell situations modeled by linear functions from those modeled by exponential functions.
  • a. Linear grows by equal differences, exponential by equal factors.
  • b. Recognize a constant rate of change per unit.
  • c. Recognize a constant percent rate of growth or decay.
• F.LE.2 Build linear and exponential functions, including sequences, from graphs, descriptions or input–output pairs.
• F.LE.5 Interpret the parameters of a linear or exponential function in context.

High School: Geometry

Congruence (G.CO)

• G.CO.1 Know precise definitions of angle, circle, perpendicular and parallel lines and segment from undefined notions.
• G.CO.2 Represent transformations as functions of points and compare rigid motions with other transformations.
• G.CO.3 Identify the symmetries of a figure (rotations and reflections that map it onto itself).
  • a. Identify line-symmetric figures and use lines of symmetry to analyze them.
  • b. Identify rotational symmetry, find the angles and analyze properties.
• G.CO.4 Develop definitions of rotations, reflections and translations using angles, circles, lines and segments.
• G.CO.5 Draw transformed figures with tools or software and give a sequence mapping one figure onto another.
• G.CO.6 Use rigid motions to transform figures, predict their effect and decide congruence.
• G.CO.7 Show triangles are congruent exactly when corresponding sides and angles are congruent.
• G.CO.8 Explain how ASA, SAS and SSS follow from congruence defined by rigid motions.
• G.CO.9 Prove and apply theorems about lines and angles, such as vertical angles, transversals and perpendicular bisectors.
• G.CO.10 Prove and apply triangle theorems: angle sum, isosceles base angles, midsegment, medians meet at a point.
• G.CO.11 Prove and apply parallelogram theorems about sides, angles and diagonals, including rectangle diagonals.
• G.CO.12 Make formal constructions with compass and straightedge, paper folding or dynamic software.
• G.CO.13 Construct an equilateral triangle, a square and a regular hexagon inscribed in a circle.
• G.CO.14 Classify 2D figures in a hierarchy based on their properties.

Circles (G.C)

• G.C.2 Identify and use relationships among angles, radii, chords, tangents and arcs, including inscribed angles.
• G.C.3 Construct inscribed and circumscribed circles of a triangle and prove opposite angles of a cyclic quadrilateral are supplementary.
• G.C.4 Construct a tangent line from a point outside a circle to the circle.

Expressing Geometric Properties with Equations (G.GPE)

• G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to write equations of lines.
• G.GPE.7 Use coordinates and the distance formula to find perimeters of polygons and areas of triangles and rectangles.

High School: Statistics and Probability

Interpreting Categorical and Quantitative Data (S.ID)

• S.ID.1 Show one-variable data on a number line with dot plots, histograms or box plots, using GAISE.
• S.ID.2 Compare center and spread of two or more data sets with statistics suited to their shape, using GAISE.
• S.ID.3 Interpret differences in shape, center and spread between data sets, allowing for outliers.
• S.ID.5 Summarize two-category data in two-way tables and interpret relative frequencies to spot associations.
• S.ID.6 Show two quantitative variables on a scatter plot and describe how they relate.
  • c. Fit a linear function where the scatter plot suggests a linear association.
• S.ID.7 Interpret the slope and intercept of a linear model in context.
• S.ID.8 Compute (with technology) and interpret the correlation coefficient of a linear fit.

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 1 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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