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| MCHCS
Standards Checklist - Mathematics
- Seventh Grade |
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| K
| 1st | 2nd
| 3rd | 4th
| 5th | 6th
| 7th | 8th |
| The
content standards express what all students can and need
to learn in mathematics to prepare them for the study
of advanced mathematics, for science and technical careers
and for post-secondary study in all content areas. |
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Number
Sense Whole Numbers |
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Round whole numbers to the nearest ten through
million. Read and evaluate numerical expressions
with exponent's. Identify powers of 10 to
the degree of six.
Compare positive and negative decimals, mixed
numbers, whole numbers and fractions with
like and unlike denominators, using the signs
>, <, and =, including scientific notation.
Determine whether a number is a prime number
or a composite number, and explain the concepts
of prime and composite numbers. |
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Fractions |
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Identify the reciprocal of a given fraction
and know that the product of a given number
and its reciprocal = l.
Round fractions to the nearest whole number,
½, 1/3, ¼, 1/5, 1/8, and 1/10.
Add and subtract positive and negative mixed
numbers and fractions with like and unlike
denominators.
Multiply and divide positive and negative
mixed numbers and fractions.
Solve problems that involve addition, subtraction,
and/or multiplication with fractions and mixed
numbers, with and without regrouping, that
include like and unlike denominators, and
express their answers in simplest form. |
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Decimals |
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Read, write, and order positive and negative
decimals to the nearest hundred-thousandth.
Write decimals in expanded form and write
numbers in expanded form with scientific notation.
Round decimals (and decimal quotients) to
the nearest whole number, tenth, hundredth,
and thousandth.
Add and subtract positive and negative decimals.
Multiply and divide positive and negative
decimals.
Estimate decimal sums, differences, products
and quotients with rounding and verifying
the solution. |
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Percents
and Ratios |
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Solve problems involving percent increase
and decrease and with percent greater than
100 percent.
Compare two values or variables as ratios
using appropriate notations such as a/b, a
to b, and a:b.
Use ratios and proportions to interpret map
scales and scale drawings.
Translate among percent, fractions and decimals,
including repeating decimals. |
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Algebra
and Functions |
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Recognize variables and solve linear equations
in one variable.
Write and solve equations for word problems.
Apply algebraic order of operations and commutative,
associative, and distributive properties to
evaluate expressions.
Plot points on a coordinate plane, using ordered
pairs of positive and negative whole numbers.
Use the term's origin, x-axis, and y-axis
in working with the coordinate plane.
Graph simple functions and solve problems
involving use of a coordinate plane.
Demonstrate an understanding that rate is
a measure of one quantity per unit value of
another quantity.
Solve problems involving rates, average speed,
distance, and time.
Use variables in expressions describing geometric
quantities (e.g., P=2w+2l, A=1/2bh, C= d -
the formulas for the perimeter of a rectangle,
the area of a triangle, and the circumference
of a circle, respectively). |
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Measurement
and Geometry |
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Associate prefixes used in metric system with
quantities: kilo, hecto, deka, deci, centi,
and milli.
Compare and convert units of measures for
length, weight/mass, and volume within the
U.S. customary system and within the metric
system and estimate conversions between units
in each system.
Understand the concept of a constant such
as and its common estimated value (3.14, 22/7).
Know the formulas for the circumference and
area of a circle.
Estimate angle measures to 30 degrees and
use the appropriate tools to measure the given
angles.
Identify and use signs that mean, "is
congruent to", "is similar to",
"is parallel to", and "is perpendicular
to".
Identify angles as vertical, adjacent, complementary,
or supplementary and provide descriptions
of these terms.
Use the properties of complementary and supplementary
angles and the sum of the angles of a triangle
to solve problems involving an unknown angle.
Construct parallel lines and a parallelogram.
Know that if two lines are parallel, any line
perpendicular to one is also perpendicular
to the other.
Know that two lines that are both perpendicular
to another line are parallel to each other.
Bisect an angle.
Construct an angle congruent to a given angle.
Construct a figure congruent to a given figure,
using reflection over a line of symmetry,
and identify corresponding parts.
Shows how congruent plane figures can be make
to correspond through reflection, rotation,
and translation.
Find the area and perimeter of a rectangle,
square, triangle, and parallelogram.
Find the volume of rectangular solids and
find a missing dimension given the volume.
Determine if geometric figures (quadrilaterals
and triangles) are similar and write proportions
to express the relationships between corresponding
parts of similar figures. |
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Statistic,
Data Analysis, and Probability |
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Use picture, circle, bar and line graphs to
interpret data.
Examine the way the data is presented for
bias.
Examine the way the results were displayed
and how that may have influenced the conclusions
reached.
Examine the way data was gathered and how
that may have influenced the conclusions reached.
Know that this is related to the probability
of an event not occurring.
Understand the difference between independent
and dependent events.
Predict outcomes from samples. |
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Mathematical
Reasoning |
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Analyze problems by identifying relationships,
distinguishing relevant from irrelevant information,
identifying missing information, sequencing
and prioritizing information, and observing
patterns.
Formulate and justify mathematical conjectures
based on a general description of the mathematical
question or problem posed.
Use estimation to verify the reasonableness
of calculated results.
Apply strategies and results from simpler
problems to more complex problems.
Estimate unknown quantities graphically and
solve for them by using logical reasoning
and arithmetic and algebraic techniques. |
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