Overview of Ohio BenchMarks  for   5 through 7  Grade Levels

 

Number, Number Sense and Operation Standard:

A. Represent and compare numbers less than 0 through familiar applications

and extending the number line.

B. Compare, order and convert among fractions, decimals and percents.

C. Develop meaning for percents including percents greater than 100 and less than 1.

D. Use models and pictures to relate concepts of ratio, proportion and percent.

E. Use order of operations: (M,D,A,S) parenthesis & exponents

 to solve multi-step problems, verify and interpret the results.

F. Apply number system properties when performing computations.

G. Apply and explain the use of prime factorizations, common factors,

and common multiples in problem situations.

H. Use and analyze steps in standard and non-standard algorithms for computing

with fractions, decimals and integers.

I.  Use a variety of strategies, including proportional reasoning, to estimate, compute, solve

and explain solutions to problems involving integers, fractions, decimals and percents.

 

Measurement Standard:

A.  Select appropriate units to measure angles, circumference, surface area, mass and volume, using:

U.S. customary units; e.g., degrees, square feet, pounds, and other units as appropriate;

Metric units; e.g., square meters, kilograms and other units as appropriate.

B. Convert units of length, area, volume, mass and time within the same measurement system.

C.  Identify appropriate tools and apply appropriate techniques for measuring angles, perimeter or circumference

and area of triangles, quadrilaterals, circles, and composite shapes,

and surface area and volume of prisms and cylinders.

D. Select a tool and measure accurately to a specified level of precision.

E. Use problem solving techniques and technology as needed to solve problems involving length, weight,

perimeter, area, volume, time and temperature.

 

Geometry & Spatial Sense Standard:

A.    Identify and label angle parts and the regions defined within the plane where the angle resides.

B.    Draw circles, and identify and determine the relationships

among the radius, diameter, center and circumference.

C.    Specify locations and plot ordered pairs on a coordinate plane.

D.   Identify, describe and classify types of line, line pairs, angles, angle pairs, two-dimensional figures

and three-dimensional objects using their properties. ( Triangles, Quadrilaterals, Polygons, Circles,

and Rounded Solids (Sphere, Cylinder, Cone) Lateral Solids (Cube, Prism, Pyramid)

E.    Use proportions to express relationships among corresponding parts of similar figures.

F.    Describe and use the concepts of congruence, similarity and symmetry to solve problems.

G.   Describe and use properties of triangles to solve problems

involving angle measures and side lengths of right triangles.

H.   Predict and describe results (size, position, orientation) of transformations of two-dimensional figures.

I.    Identify and draw three-dimensional objects from different views (top, side, front and perspective).

J.   Apply properties of equality and proportionality to solve problems involving congruent or similar figures;

e.g., create a scale drawing, model or explained example.

 

Algebra, Pattern, Function Standard:

A.   Describe, extend and determine the rule for patterns and relationships

occurring in numeric patterns, computation, geometry, graphs and other applications.

B.   Represent, analyze and generalize a variety of patterns and functions

with tables, graphs, words and symbolic rules.

C.   Use variables to create and solve equations and inequalities representing problem situations.

D.   Use symbolic algebra to represent and explain mathematical relationships.

E.   Use rules and variables to describe patterns, functions and other relationships.

F.    Use representations, such as tables, graphs and equations, to model situations and to solve problems,

especially those that involve linear relationships.

G.   Write, simplify and evaluate algebraic expressions.

H.   Solve linear equations and linear inequalities symbolically, graphically and numerically.

I.     Explain how inverse operations are used to solve linear equations.

J.    Use formulas in problem-solving situations.

K.   Graph linear equations and linear inequalities.

L.    Analyze functional relationships (Direct & Inverse),

and explain how a change in one quantity results in a change in the other.

M.   Approximate and interpret rates of change from graphical and numerical data.

 

 

Data Analysis and Probability:

A.   Read, create and use line graphs, bar graphs and histograms, circle graphs,

box-and-whisker plots, stem-and-leaf plots, and other representations when appropriate.

B.   Interpret data by looking for patterns and relationships, draw and justify conclusions,

and answer related questions.

C.   Evaluate interpretations and conclusions as additional data are collected, modify conclusions

and predictions, and justify new findings.

D.   Compare increasingly complex displays of data, such as multiple sets of data on the same graph.

E.    Collect, organize, display, and interpret data for a specific purpose or need.

F.    Determine and use the range, mean, median and mode to analyze and compare data,

and explain what each indicates about the data.

G.   Evaluate conjectures and predictions based upon data presented in tables and graphs,

and identify misuses of statistical data and displays.

H.   Find all possible outcomes of simple experiments or problem situations, using methods

such as lists, arrays and tree diagrams.

I.    Describe the probability of an event using ratios, including fractional notation.

J.    Compare experimental and theoretical results for a variety of simple experiments.

K.   Make and justify predictions based on experimental and theoretical probabilities.