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| MCHCS
Standards Checklist - Mathematics
- Fifth 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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Read and write whole numbers to billions.
Estimate and round very large (millions) and
very small (thousandths) numbers.
Identify, orally and in writing, the place
value for each digit in a whole number expressed
through billions.
Compare two whole numbers (to billions) using
symbols (>, <, or =) and words ("greater
than", "less than", or "equal
to"). |
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Fractions |
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Compare fractions with like and unlike denominators
of 12 or less, using the signs >, <,
and =.
Determine the least common denominator (LCD)
of fractions with unlike denominators. |
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Decimals |
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Read, write, and identify the place values
of decimals through ten-thousandths.
Compare the value of two negative or positive
decimals through ten-thousandths using the
symbols >, <, and =.
Write decimals in expanded form.
Round decimals to the nearest tenth, hundredth,
and thousandth. |
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Percents
and Ratios |
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Recognize the percent sign and understand
percent as parts of a hundred.
Find the given percent of a number.
Determine and express simple ratios.
Use ratio to create a simple scale drawing. |
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Relating
Fractions, Decimals and Percents |
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Write fractions as decimals.
Express equivalence between fractions, decimals,
and percent.
Identify and represent on a number line decimals,
fractions, mixed numbers, and positive and
negative integers. |
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Addition
and Subtraction, Multiplication and Division |
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Multiply two factors of up to four digits
each.
Know what it means for one number to be divisible
by another.
Divide dividends up to four digits by one-digit,
two-digit, and three-digit divisors.
Move the decimal point when dividing by 10,
100, or 1,000.
Identify prime numbers less than 50.
Determine the greatest common factor and the
least common multiple of given numbers.
Estimate decimal sums, differences, and products
by rounding.
Add and subtract decimals through ten-thousandths.
Estimate and find the product of two numbers
expressed as decimals through thousandths.
Add and subtract with fractions and mixed
numbers (with like and unlike denominators),
with and without regrouping, and express answers
in simplest form.
Multiply fractions and mixed numbers. |
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Algebra
and Functions |
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Know the names and definitions of commutative
and associative properties for addition, and
the commutative, associative, and distributive
properties for multiplication.
Recognize variables and solve one-operation
equations using variables.
Write and solve equations for word problems
using variables.
Identify the ordered pair for a point and
locate the point for an ordered pair in the
first quadrant of a coordinate plane. |
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Measurement
and Geometry |
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Estimate and make linear measurements in yards,
feet and inches (to 1/16 in.), and in meters,
centimeters, and millimeters.
Convert to common units of measurement in
problems involving addition and subtraction
of different units.
Choose an appropriate measuring device and
unit of measure to solve problems involving
measurement of length, weight, and volume.
Determine an amount of elapsed time in hours
and minutes to 24 hours, including crossing
noon or midnight.
Determine the perimeter of a polygon, given
the appropriate measures.
Identify the diameter, radius, chord, and
circumference of a circle.
Identify whether the application of the concept
of perimeter or area is appropriate for a
given problem.
Measure angles in degrees.
Know that the sum of the angles of any triangle
is 180.
Know that the sum of the angles of any quadrilateral
is 360.
Identify and construct different kinds of
triangles - equilateral, right, and isosceles.
Define what it means for triangles to be congruent.
Know that regular polygons have sides of equal
length and angles of equal measure.
Work with circles to identify arc, chord,
radius, and diameter.
Using a compass, draw circles with a given
diameter or radius.
Find the area of a rectangle, triangle, and
parallelogram in a variety of square units
(mi, yd, ft, in, km, m, cm, and mm).
Compute volume and surface area of a cube
and a rectangular box. |
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Statistics,
Data Analysis, and Probability |
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Know how to write ordered pairs correctly,
for example, (x, y).
Know the definition of mean, median, and mode.
Identify mean, median, and mode for sets of
data.
Use fractions and percentages to compare sets
of different sizes.
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Mathematical
Reasoning |
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Determine when and how to break a problem
into simpler parts.
Use estimation to verify the reasonableness
of calculated results.
Apply strategies and results from simpler
problems to more complex problems.
Use a variety of methods, such as words, numbers,
symbols, charts, graphs, tables, diagrams,
and models, to explain mathematical reasoning.
Evaluate the reasonableness of the solution
in the context of the original situation.
Solve practical problems such as computing
sale price, unit price, etc.
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