Grade 8
Georgia QCC Standards
Jump to Grade 8 QCC: 1-4, 5-16,
17-18, 19-29, 30-38,
39, 40-42, 43-45
Strand: Problem Solving
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Topic 1: Appropriate Methods and Tools, Applications |
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Standard: Solves problems, reasons,
and estimates throughout mathematics.
- Selects and uses problem-solving strategies such as reading
the problem, drawing a picture or diagram, using trial and error,
making a table or chart, looking for patterns, making a simple
problem then generalizing, working backwards, etc.
- Selects and uses appropriate tools (such as mental computation,
calculators, manipulative materials, paper and pencil, computer)
in solving problems.
- Uses appropriate Estimation strategies (such as breaking numbers
apart, compatible numbers, guess and check, clustering, rounding,
compensation) to check the reasonableness of results.
- Solves non routine problems for which the answer is not obvious.
- Relates concepts and skills to practical applications.
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Topic 2: Vocabulary |
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Standard: Describes orally and in writing,
using the appropriate mathematical vocabulary, mathematical concepts
and procedures, such as the reasoning involved in solving problems
or computing. |
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Topic 3: Pattern, Sequence |
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Standard: Uses scientific calculator
and computer skills to solve problems, to discover patterns and
sequences, to investigate situations and to draw conclusions. |
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Topic 4: Research, Investigation, Data Analysis |
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Standard: Uses computer software and
applications to research, investigate, and analyze data and to represent
this information using charts, tables, graphs, or other presentation
forms. |
Strand: Patterns & Relationships; Algebra
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Topic 5: Symbol, Variable, Equality, Inequality |
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Standard: Uses signs or symbols
to represent words, phrases, numbers, or quantities.
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Topic 6: Variable, Symbol, Solving Equation |
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Standard: Translates English phrases and sentences
into mathematical/ algebraic expressions, equations, and inequalities. |
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Topic 7: Variable |
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Standard: Determines the number that makes a given
number sentence true using the properties of equations. |
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Topic 8: Order of Operations |
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Standard: Uses order of operations to simplify
numerical expressions. |
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Topic 9: Variable |
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Standard: Evaluates algebraic expressions using
substitution. |
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Topic 10: Variable |
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Standard: Solves single- and multi-step equations
(including formulas) and inequalities using addition, subtraction,
multiplication, and division. |
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Topic 11: Absolute Value |
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Standard: Finds the absolute value of any real
number. |
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Topic 12: Variable |
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Standard: Sets up a proportion and solves for the
missing term in a proportion. |
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Topic 13: Number Line |
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Standard: Graphs simple and compound inequalities
on a number line. |
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Topic 14: Variable, Dependent, Independent
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Standard: Examines relations (functions) to determine
how changes in one variable can affect another variable (e.g., given
b = 2a. If a = 2, then b = 4. If a = 3, then b = 6). |
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Topic 15: Problem Solving |
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Standard: Writes and solves an equation or simple
inequality for a given word problem. |
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Topic 16: Perimeter, Area, Circumference, Volume, Surface Area |
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Standard: Applies formulas (e.g. Area,
Perimeter, circumference, volume, surface area),
including investigating and using the Pythagorean Theorem. |
Strand: Whole Number Computation; Estimation; Whole Number Operations
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Topic 17: Rational Numbers |
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Standard: Adds, subtracts, multiplies, and divides
integers and other rational numbers. |
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Topic 18: Multiples, Powers, Compensation, Compatible Numbers |
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Standard: Performs computations mentally using
strategies such as multiples of ten, powers of ten, compensation,
breaking apart numbers, or compatible numbers. |
Strand: Geometry & Spatial Sense; Measurement
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Topic 19: Edge, Face, Vertex, n-gon |
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Standard: Classifies plane and solid geometric
figures based on their properties/ characteristics (number or length
of sides, angle measures, edges, faces, or vertices). This includes
quadrilaterals (trapezoid, parallelogram, square, rectangle, rhombus);
triangles (acute, obtuse, right, equilateral, isosceles, scalene);
solids (prism, pyramid, cone, cylinder, sphere); and n-gons (pentagon,
hexagon, octagon). |
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Topic 20: Symbol, Point, Line, Line Segment, Ray, Polygon, Vertex,
Angle, Diagonal |
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Standard: Identifies physical and symbolic representations
using appropriate labeling of geometric figures, such as points, lines,
line segments, rays, polygons, vertices, angles, and diagonals. |
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Topic 21: Similarity, Congruence
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Standard: Uses properties to determine similarity
and congruency of geometric figures. |
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Topic 22: Angle, Triangle |
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Standard: Solves problems by using the property
that the sum of the angles in a triangle is 180 degrees. |
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Topic 23: Geometric Properties |
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Standard: Uses geometric figures, properties, and
relations to solve problems. |
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Topic 24: Ordered Pair, Coordinate Plane |
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Standard: Identifies and graphs an ordered pair
of integers on a four-quadrant coordinate plane. |
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Topic 25: Reflection, Rotation, Translation |
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Standard: Analyzes effects of basic transformations
on geometric shapes. |
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Topic 26: Area, Volume, Length |
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Standard: Determines how changing a linear measure
on a geometric figure affects area and
volume. |
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Topic 27: Degree, Protractor |
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Standard: Measures and draws angles using a protractor
and classifies angles by their measures (e.g., acute, obtuse, right,
straight, complementary, supplementary). |
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Topic 28: Length, Perimeter, Circumference, Area,
Volume/Capacity, Weight/Mass, Time, Temperature, Angle Measure |
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Standard: Selects and uses appropriate customary
and metric units of measure for length (including Perimeter and circumference),
area,
volume, capacity, weight /mass, time, temperature, and angle measure. |
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Topic 29: Length, Capacity, Weight/Mass, Time, Money |
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Standard: Converts from one metric unit to another
metric unit and from one customary unit to another customary unit
(length, capacity, weight/ mass, time, and money). |
Strand: Number Sense & Numeration; Fractions & Decimals
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Topic 30: Equivalent Representations |
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Standard: Uses fractions, decimals, and percents
interchangeably, and recognizes equivalent representations. |
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Topic 31: Exponent, Power, Equivalent Representations |
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Standard: Expresses standard numerals in scientific
notation and expresses scientific notation as a standard numeral. |
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Topic 32: Exponent, Power, Base, Square Root, Equivalent Representations |
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Standard: Evaluates powers using exponents and
bases correctly, and finds square roots. |
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Topic 33: Ordering |
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Standard: Compares and orders real numbers (whole
numbers, integers, fractions, decimals, and percents). |
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Topic 34: Associative, Commutative, Distributive, Identity, Inverse,
Properties of Zero and One |
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Standard: Recognizes, describes, and applies all
properties of the real numbers system (associative, commutative, inverses,
identities, properties of zero and one, and the distributive property
of multiplication over addition) in situations such as evaluating
algebraic expressions and solving equations. |
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Topic 35: Factor, Multiple, Prime, Composite |
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Standard: Identifies factors, multiples, primes
and composites. |
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Topic 36: Prime Factor |
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Standard: Writes a given positive integer as the
product of a unique set of prime factors (prime factorization). |
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Topic 37: Factor, Prime, Multiple, GCF, LCM |
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Standard: Identifies and applies divisibility,
factors, prime factors, greatest common factor, and least common multiple.
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Topic 38: Subsets of Real Numbers: Natural, Whole, Integer, Rational,
Irrational |
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Standard: Identifies subsets of the real numbers
and determines all subsets of which a given number is an element (e.g.,
9 is a whole number, a natural number, and an integer). |
Strand: Statistics & Probability
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Topic 39: Prediction, Outcome, Event |
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Standard: Identifies possible outcomes of simple
and compound experiments, and predicts or describes the probability
of a given event, expressed as a rational number from 0 through 1. |
Strand: Problem Solving
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Topic 40: Problem Solving |
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Standard: Selects and uses appropriate problem-solving
strategies to solve single- and multi-step problems. |
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Topic 41: Constant Rate |
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Standard: Solves practical problems using ratio
and proportion, including constant rate. |
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Topic 42: Commission, Discount, Sales Tax, Sales Price |
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Standard: Solves practical problems using percents
(e.g., sales tax, sale price and commission, and discounts). |
Strand: Statistics & Probability
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Topic 43: Data Collection, Data Organization, Data Display, Scale
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Standard: Collects and organizes data, determines
appropriate method and scale to display data, and constructs frequency
distributions; bar, line, and circle graphs; tables and charts; line
plots, Stem-and-Leaf Plots, box-and-whisker plots, and scatter plots. |
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Topic 44: Mean, Median, Mode, Range |
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Standard: Uses mean, median, mode, and range to
describe tendencies of a data set and make predictions. |
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Topic 45: Data Interpretation, Data Display, Prediction, Conclusion |
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Standard: Reads, interprets, compares, and analyzes
data in frequency distributions, diagrams, charts, tables, and graphs
(bar, line, circle, stacked bar, double line, and multiple bar), and
makes predictions or conclusions based on this data. |
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