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Standards of Learning
Grade Seven
The seventhgrade standards place emphasis on solving problems
involving consumer applications and proportional reasoning. The
students will gain an understanding of the properties of real
numbers, solve linear equations and inequalities, and use data
analysis techniques to make inferences and predictions. While
learning mathematics, students will be actively engaged, using
concrete materials and appropriate technologies such as fraction
calculators, computers, laser discs, and videos. However, facility
in the use of technology shall not be regarded as a substitute for
a student's understanding of quantitative concepts and
relationships or for proficiency in basic computations. Students
also will identify reallife applications of the mathematical
principles they are learning that can be applied to science and
other disciplines they are studying.
Mathematics has its own language, and the acquisition of
specialized vocabulary and language patterns is crucial to a
student's understanding and appreciation of the subject. Students
should be encouraged to use correctly the concepts, skills,
symbols, and vocabulary identified in the following set of
standards.
Problem solving has been integrated throughout the six content
strands. The development of problemsolving skills should be a
major goal of the mathematics program at every grade level.
Instruction in the process of problem solving will need to be
integrated early and continuously into each student's mathematics
education. Students must be helped to develop a wide range of
skills and strategies for solving a variety of problem types.
Number and Number Sense
7.1 The student will compare, order, and determine equivalent
relationships between fractions, decimals, and percents,
including scientific notation.
7.2 The student will find common multiples and factors, including
least common multiple and greatest common factor.
7.3 The student will simplify expressions by using order of
operations, mental mathematics, and appropriate tools.
Exponents will be included.
7.4 The student will explain orally and in writing the following
properties of operations with real numbers:
* the commutative and associative properties for addition
and
multiplication;
* the distributive property;
* the additive and multiplicative identity properties;
* the additive and multiplicative inverse properties; and
* the multiplicative property of zero.
Computation and Estimation
7.5 The student will solve consumer application problems
involving tips, discounts, sales tax, and simple interest,
using whole numbers, fractions, decimals, and percents.
7.6 The student will
* solve practical problems involving basic operations with
integers by formulating rules for operating with integers
and using a number line to compute; and
* explain the need for integers, using examples from real
life situations.
7.7 The student will use proportions to solve practical problems,
including scale drawings that contain whole numbers,
fractions, decimals, and percents.
Measurement
7.8 The student, given appropriate dimensions, will estimate and
find the area of polygons by subdividing them into rectangles
and right triangles.
7.9 The student will investigate and solve problems involving the
volume and surface area of rectangular prisms and cylinders,
using concrete materials and practical situations to develop
formulas.
Geometry
7.10 The student will compare and contrast the following
quadrilaterals: a parallelogram, rectangle, square, rhombus,
and trapezoid. Deductive reasoning and inference will be
used to classify quadrilaterals.
7.11 The student will identify and draw the following polygons:
pentagon, hexagon, heptagon, octagon, nonagon, and decagon.
7.12 The student will determine if geometric figures
(quadrilaterals and triangles) are similar and write
proportions to express the relationships between
corresponding parts of similar figures.
7.13 The student will construct a threedimensional model using
cubes, given the top, side, and/or bottom views, and
determine the volume and surface area of the model.
7.14 The student will inscribe equilateral triangles, squares, and
hexagons in circles, using a compass and straightedge.
Probability and Statistics
7.15 The student will investigate and describe the difference
between the probability of an event found through simulation
versus the theoretical probability of that same event.
7.16 The student will make a sample space for selected experiments
and represent it in the form of a list, chart, picture, or
tree diagram.
7.17 The student will determine the probability of a given simple
event and express that probability as a ratio, decimal, or a
percent as appropriate for the given situation.
7.18 The student will identify and describe the number of possible
arrangements of several objects, using a tree diagram or the
Basic Counting Principle.
7.19 The student will create and solve problems involving the
mean, median, mode, and range of a set of data.
7.20 The student will display data, using frequency distributions,
line plots, stemandleaf plots, boxandwhisker plots, and
scattergrams.
7.21 The student will make inferences and predictions based on the
analysis of a set of data that the student(s) collect.
Patterns, Functions, and Algebra
7.22 The student will investigate and describe functional
relationships, including the number of sides of a regular
polygon and the sum of the measures of the interior angles.
7.23 The student will write verbal expressions/sentences as
algebraic expressions/equations.
7.24 The student will use the following algebraic terms
appropriately in written and/or oral expression: equation,
inequality, variable, expression, term, coefficient, domain,
and range.
7.25 The student will
* solve twostep linear equations and inequalities in one
variable, using strategies involving inverse operations
and integers; and
* solve practical problems requiring the solution of a two
step linear equation.
7.26 The student will identify and graph ordered pairs in the four
quadrants of a coordinate plane.
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