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 NUMBER
AND OPERATIONS
- Fractions, decimals, and
percents to solve problems
- Compare and order fractions,
decimals, and percents
- Percents greater than 100
and less than 1
- Ratios and proportions
- Exponential, scientific, and
calculator notation
- Factors, multiples, prime
factorization
- Integers - represent and
compare quantities with them
- Arithmetic operations with
fractions, decimals, and integers
- Associative and commutative
properties of addition and multiplication
- Distributive property of
multiplication over addition
- Inverse relationships of
addition and subtraction, multiplication and division
- Squaring and finding square
roots
- Computing with fractions and
decimals
- Algorithms for computing
with fractions, decimals, and integers
- Rational-number computations
- Problems involving
proportions - such as scaling and finding equivalent ratios
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MEASUREMENT
- Metric and customary system
of measurement
- Convert of units within the
same system
- Time and Money
- Measure angles, perimeter,
area, surface area, and volume
- Methods for estimating
measurements
- Circumference of circles and
the area of triangles, parallelograms, trapezoids, and circles
- Area of more-complex shapes
- Surface area and volume of
selected prisms, pyramids, and cylinders
- Problems involving scale
factors (using ratio and proportion)
- Problems involving velocity
and density
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GEOMETRY
- Types of two- and
three-dimensional objects and their properties
- Angles, side lengths, perimeters,
areas, and volumes of similar objects
- Congruence, similarity, and
the Pythagorean relationship
- Properties of geometric
shapes using coordinate geometry
- Special geometric shapes
such as regular polygons
- Transformations such as
flips, turns, slides, and scaling
- Congruence, similarity, and
line or rotational symmetry
- Draw geometric objects with
specified properties
- Two-dimensional
representations of three-dimensional objects
- Problems involving surface
area and volume
- Visual tools such as networks
- Geometric models explain
numerical and algebraic relationships
- Explore math outside the
classroom, such as art, science, and everyday life
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DATA
ANALYSIS AND PROBABILITY
- Characteristics shared by
two populations
- Different characteristics
within one population
- Graphical representations of
data
- Mean and interquartile range
- Data sets and their
graphical representations
- Develop and evaluate
inferences and predictions that are based on data
- Observation of populations
using samples
- Relationships between two
characteristics of a sample
- Complementary and mutually
exclusive events
- Proportionality
- Basic understanding of
probability
- Probabilities for simple
compound events
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