Grade 7
Georgia QCC Standards
Jump to Grade 7 QCC: 1-4, 5-13,
14-16, 17-27, 28-35,
36-37, 38-40, 41-43
Strand: Problem Solving
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Topic 1: Problem Solving Strategies, Reasoning, Estimation Strategies,
Mental Computation |
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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 simpler
problem and 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 front-end,
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: Communication, Reasoning |
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Standard: Describes orally and in writing, using the appropriate
mathematical vocabulary, mathematical concepts and procedures, such
as solving a word problem or computing. |
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Topic 3: Technology, Calculator Skills, Computer Skills, Problem
Solving, Reasoning |
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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: Technology, Computer Skills, Charts, Tables, Graphs |
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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: Expressions, Equations, Inequalities |
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Standard: Identifies the use
of a variable as a placeholder in an algebraic expression or equation. |
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Topic 6: Expressions |
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Standard: Evaluates algebraic expressions (e.g.,
Given 3a + 4. If a = 2, then 3(2) + 4 = 10). |
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Topic 7: Equations, Inequalities |
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Standard: Writes and solves one-step algebraic
equations and inequalities using addition, subtraction, multiplication,
and division (e.g., a + 11 = 15; b - 2 = 21; m/2 = 15; 5x = 40). |
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Topic 8: Inequalities, Graphing |
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Standard: Graphs inequalities on a number line. |
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Topic 9: Expressions |
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Standard: Uses order of operations to simplify numerical expressions
that involve addition, subtraction, multiplication, and division,
with and without parentheses. |
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Topic 10: Proportion |
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Standard: Solves for the missing term in a proportion. |
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Topic 11: Expressions, Equations |
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Standard: Translates English phrases and sentences into mathematical
expressions, equations, and inequalities. |
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Topic 12: Variables |
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Standard: Determines 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 13: Problem Solving, Equations |
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Standard: Writes and solves an equation for a given word problem.
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Strand: Whole Number Computation; Estimation; Whole Number Operations
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Topic 14: Whole Numbers, Fractions, Decimals, Computation, Problem
Solving |
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Standard: Uses addition, subtraction, multiplication,
and division (interpreting remainders in context of problem) in computation
and problem solving with whole numbers, fractions, and decimals. |
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Topic 15: Integers |
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Standard: Computes with integers using models,
manipulatives, and/or rules. |
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Topic 16: Mental Computation Strategies |
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Standard: Performs computations mentally using
strategies such as multiples of tens, powers of ten, compensation,
breaking apart numbers, or compatible numbers. |
Strand: Geometry & Spatial Sense; Measurement
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Topic 17: Angles |
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Standard: Classifies angles as acute, right, obtuse,
or straight; and names angles using points, numbers, and letters.
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Topic 18: Quadrilaterals, Triangles |
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Standard: Classifies quadrilaterals and triangles
based on their properties.
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Topic 19: Geometric Figures |
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Standard: Contrasts and classifies plane and solid
geometric figures (polygons, cones, cylinders, prisms, pyramids).
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Topic 20: Geometric Figures |
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Standard: Compares and contrasts geometric figures
with respect to congruency and similarity (scaling, dilations). |
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Topic 21: Transformations |
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Standard: Analyzes effects of basic transformations
on geometric shapes. |
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Topic 22: Graphing Integers |
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Standard: Identifies and graphs an ordered pair
of integers on a four-quadrant coordinate plane. |
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Topic 23: Prisms, Cylinders |
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Standard: Finds volume and surface area of prisms
and cylinders. |
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Topic 24: Circles, Polygons, Geometric Solids, Formulas |
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Standard: Finds the perimeter (or circumference)
and area of polygons and circles, and the volume and surface area
of geometric solids using formulas. (Uses student development of formulas
when possible.) |
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Topic 25: Customary Units, Metric Units |
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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 26: Angle Measurement |
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Standard: Measures angles using a protractor. |
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Topic 27: Customary Units, Metric Units, Conversion within System
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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 28: Fractions, Decimals, Integers, Percent |
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Standard: Compares and orders whole numbers, integers,
fractions, decimals, and percents. |
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Topic 29: Fractions, Decimals, Percents |
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Standard: Uses fractions, decimals, and percents
interchangeably (e.g., ¼, .25, 25%) and recognizes equivalent
representations.
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Topic 30: Computation, Mental Computation, Properties of Real Numbers
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Standard: Applies properties of addition and multiplication
to facilitate computation, particularly mental computation. |
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Topic 31: Number Theory |
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Standard: Identifies factors, multiples, primes,
and composites. |
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Topic 32: Positive Integers |
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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 33: Positive Integers |
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Standard: Identifies greatest common factor and
least common multiple. |
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Topic 34: Divisibility |
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Standard: Uses divisibility rules for 2, 3, 5,
6, 9, and 10. |
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Topic 35: Real Numbers |
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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, an integer, and a rational
number). |
Strand: Statistics & Probability
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Topic 36: Simple Probability |
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Standard: Identifies possible outcomes of simple
experiments and predicts or describes the probability of a given event
expressed as a rational number from 0 through 1. |
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Topic 37: Compound Probability |
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Standard: Conducts and interprets a compound probability
experiment. |
Strand: Problem Solving
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Topic 38: Problem Solving Strategies |
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Standard: Selects and uses appropriate problem-solving
strategies to solve single- and multiple-step problems. |
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Topic 39: Proportion |
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Standard: Uses proportions to solve problems involving
constant rate. |
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Topic 40: Percent |
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Standard: Solves practical problems using percents
(e.g., sales tax, sale price and commission, discounts). |
Strand: Statistics & Probability
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Topic 41: Charts, Tables, Graphs, Distributions |
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Standard: Collects, organizes data, determines
appropriate method and scale to display data, and constructs frequency
distributions, bar graphs, line graphs, circle graphs, tables, and
charts. |
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Topic 42: Measures of Central Tendency and Spread |
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Standard: Uses mean, median, and mode to describe
central tendencies of a data set, and uses range to describe spread
of the data. |
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Topic 43: Charts, Tables, Graphs, Distributions |
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Standard: Reads and interprets data in frequency
distributions, diagrams, charts, tables, and graphs; and makes predictions
or conclusions based on this data. |
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