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Georgia

Georgia Standards - Grade 8 Math

The state of Georgia has prescribed that students of Grade 8 Math master certain topics. The topics are listed below. Each of these topics/strands are covered in TenMarks, helping students refresh their knowledge, as well as learn as they practice - resulting in mastery.
Problem Solving
 
1.A.1 Solves problems, reasons, and estimates throughout mathematics.
 
1.B.2 Describes orally and in writing, using the appropriate vocabulary, mathematical concepts and procedures, such as solving a word problem or computing.
 
1.C.3 Uses scientific calculator and computer skills to solve problems, to discover patterns and sequences, to investigate situations and draw conclusions.
 
1.D.4 Uses computer software and applications to research, investigate, and analyze data and to represent this information using charts, tables, graphs, or other presentation forms.
 
1.E.40 Selects and uses appropriate problem-solving strategies to solve single- and multi-step problems.
 
1.F.41 Solves practical problems using ratio and proportion, including constant rate.
 
1.G.42 Solves practical problems using percents.
Patterns & Relationships; Algebra
 
2.A.5 Uses signs or symbols to represent words, phrases, numbers, or quantities.
 
2.B.6 Translates English phrases and sentences into mathematical/ algebraic expressions, equations, and inequalities.
 
2.C.7 Determines the number that makes a given number sentence true using the properties of equations.
 
2.C.9 Evaluates algebraic expressions using substitution.
 
2.C.10 Solves single- and multi-step equations (including formulas) and inequalities using addition, subtraction, multiplication, and division.
 
2.C.12 Sets up a proportion and solves for the missing term in a proportion.
 
2.D.8 Uses order of operations to simplify numerical expressions.
 
2.E.11 Finds the absolute value of any real number.
 
2.F.13 Graphs simple and compound inequalities on a number line.
 
2.G.14 Examines relations (functions) to determine how changes in one variable can affect another variable
 
2.H.15 Writes and solves an equation or simple inequality for a given word problem.
 
2.I.16 Applies formulas (e.g., area, perimeter, circumference, volume, surface area), including investigating and using the Pythagorean Theorem.
Whole Number Computation; Estimation; Whole Number Operations
 
3.A.17 Adds, subtracts, multiplies, and divides integers and other rational numbers.
 
3.B.18 Performs computations mentally using strategies such as multiples of ten, powers of ten, compensation, breaking apart numbers, or compatible numbers.
Geometry & Spatial Sense; Measurement
 
4.A.19 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).
 
4.B.20 Identifies physical and symbolic representations using appropriate labeling of geometric figures, such as points, lines, line segments, rays, polygons, vertices, angles, and diagonals.
 
4.C.21 Uses properties to determine similarity and congruency of geometric figures
 
4.D.22 Solves problems by using the property that the sum of the angles in a triangle is 180 degrees.
 
4.E.23 Uses geometric figures, properties, and relations to solve problems.
 
4.F.24 Identifies and graphs an ordered pair of integers on a four-quadrant coordinate plane.
 
4.G.25 Analyzes effects of basic transformations on geometric shapes.
 
4.H.26 Determines how changing a linear measure on a geometric figure affects area and volume.
 
4.I.27 Measures and draws angles using a protractor and classifies angles by their measures (e.g., acute, obtuse, right, straight, complementary, supplementary).
 
4.J.28 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.
 
4.K.29 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).
Number Sense & Numeration; Fractions & Decimals
 
5.A.30 Uses fractions, decimals, and percents interchangeably, and recognizes equivalent representations
 
5.B.31 Expresses standard numerals in scientific notation and expresses scientific notation as a standard numeral.
 
5.C.32 Evaluates powers using exponents and bases correctly, and finds square roots.
 
5.D.33 Compares and orders real numbers (whole numbers, integers, fractions, decimals, and percents).
 
5.E.34 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.
 
5.F.35 Identifies factors multiples, primes and composites.
 
5.G.36 Writes a given positive integer as the product of a unique set of prime factors (prime factorization).
 
5.H.37 Identifies and applies divisibility, factors, prime factors, greatest common factor, and least common multiple.
 
5.I.38 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).
Statistics & Probability
 
6.A.39 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.
 
6.B.43 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.
 
6.C.44 Uses mean, median, mode, and range to describe tendencies of a data set and make pre
 
6.D.45 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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