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.