Skills available for Nebraska eighth-grade math standards
Standards are in bold, followed by a list of the IXL math skills that are aligned to that standards. Students can practice these skills online at www.ixl.com.
Standards: Nebraska's College and Career Ready Standards (2009)
8.1 Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
8.1.1 Students will represent and show relationships among real numbers.
8.1.1.a Compare and order real numbers
Compare and order integers (8-B.4)
Compare rational numbers (8-D.7)
Put rational numbers in order (8-D.8)
Compare numbers written in scientific notation (8-G.2)
Compare ratios: word problems (8-H.6)
Compare percents to fractions and decimals (8-J.2)
Compare percents of numbers (8-J.8)
8.1.1.b Demonstrate relative position of real numbers on the number line (e.g., square root of 2 is left of 1.5)
Integers on number lines (8-B.1)
Estimate positive and negative square roots (8-F.16)
Estimate cube roots (8-F.21)
8.1.1.c Represent small numbers using scientific notation
Convert between standard and scientific notation (8-G.1)
Multiply numbers written in scientific notation (8-G.3)
Divide numbers written in scientific notation (8-G.4)
8.1.1.d Classify numbers as natural, whole, integer, rational, irrational, or real
Classify numbers (8-A.8)
Identify rational and irrational numbers (8-D.5)
8.1.2 Students will demonstrate the meaning of arithmetic operations with integers.
8.1.2.a Use drawings, words, and symbols to explain the meaning of addition, subtraction, multiplication, and division of integers.
Integer addition and subtraction rules (8-C.1)
Add and subtract integers using counters (8-C.2)
Integer multiplication and division rules (8-C.6)
Apply addition and subtraction rules (8-E.4)
Apply multiplication and division rules (8-E.7)
Apply addition, subtraction, multiplication, and division rules (8-E.8)
8.1.2.b Use words and symbols to explain the zero property of multiplication (e.g., if ab = 0 then a or b or both must be zero)
8.1.2.c Use words and symbols to explain why division by zero is undefined
8.1.3 Students will compute fluently and accurately using appropriate strategies and tools.
8.1.3.a Compute accurately with rational numbers
Add and subtract integers (8-C.3)
Add and subtract three or more integers (8-C.4)
Add and subtract integers: word problems (8-C.5)
Multiply and divide integers (8-C.7)
Add and subtract rational numbers (8-E.2)
Add and subtract rational numbers: word problems (8-E.3)
Multiply and divide rational numbers (8-E.5)
Multiply and divide rational numbers: word problems (8-E.6)
Understanding exponents (8-F.1)
Evaluate exponents (8-F.2)
Solve equations with variable exponents (8-F.3)
Exponents with negative bases (8-F.4)
Exponents with decimal and fractional bases (8-F.5)
Simple interest (8-K.10)
8.1.3.b Evaluate expressions involving absolute value of integers
8.1.3.c Calculate squares of integers, the square roots of perfect squares, and the square roots of whole numbers using technology
Square roots of perfect squares (8-F.14)
Positive and negative square roots (8-F.15)
Relationship between squares and square roots (8-F.17)
Evaluate radical expressions (8-V.7)
8.1.3.d Select, apply, and explain the method of computation when problem solving using rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules)
Do the ratios form a proportion: word problems (8-H.9)
Solve proportions (8-H.10)
Estimate population size using proportions (8-H.11)
Scale drawings: word problems (8-H.12)
Find the constant of proportionality from a table (8-I.1)
Write equations for proportional relationships from tables (8-I.2)
Identify proportional relationships by graphing (8-I.3)
Find the constant of proportionality from a graph (8-I.4)
Write equations for proportional relationships from graphs (8-I.5)
Identify proportional relationships (8-I.6)
Interpret graphs of proportional relationships (8-I.8)
Write and solve equations for proportional relationships (8-I.9)
Unit prices with unit conversions (8-K.3)
Unit prices: find the total price (8-K.4)
Percent of a number: tax, discount, and more (8-K.5)
Find the percent: tax, discount, and more (8-K.6)
Sale prices: find the original price (8-K.7)
Multi-step problems with percents (8-K.8)
Rate of change (8-Z.4)
8.1.4 Students will estimate and check reasonableness of answers using appropriate strategies and tools.
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers
Estimate positive and negative square roots (8-F.16)
Estimate cube roots (8-F.21)
Estimate population size using proportions (8-H.11)
Estimate percents of numbers (8-J.5)
Estimate tips (8-K.9)
Precision (8-L.5)
Guess-and-check word problems (8-M.2)
8.2 Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
8.2.1 Students will describe, compare, and contrast characteristics, properties, and relationships of geometric shapes and objects.
8.2.1.a Identify and describe similarity of three-dimensional objects
Parts of three-dimensional figures (8-S.1)
Similar solids (8-S.5)
Volume and surface area of similar solids (8-T.13)
Perimeter, area, and volume: changes in scale (8-T.14)
8.2.1.b Compare and contrast relationships between similar and congruent objects
Congruence statements and corresponding parts (8-P.9)
Side lengths and angle measures of congruent figures (8-P.10)
Congruent triangles: SSS, SAS, and ASA (8-P.11)
Similar and congruent figures (8-Q.1)
Side lengths and angle measures of similar figures (8-Q.5)
8.2.1.c Identify geometric properties of parallel lines cut by a transversal and related angles (e.g., perpendicular and parallel lines with transversals) and angles (e.g., corresponding, alternate interior, alternate exterior)
Transversal of parallel lines (8-O.11)
8.2.1.d Identify pairs of angles (e.g., adjacent, complementary, supplementary, vertical)
Identify complementary, supplementary, vertical, adjacent, and congruent angles (8-O.9)
Find measures of complementary, supplementary, vertical, and adjacent angles (8-O.10)
8.2.1.e Examine the relationships of the interior angles of a triangle (e.g., the sum of the angles is 180 degrees)
Find missing angles in triangles (8-O.5)
8.2.2 Students will specify locations and describe relationships using coordinate geometry.
8.2.2.a Use coordinate geometry to represent and examine the properties of rectangles and squares using horizontal and vertical segments
8.2.3 Students will perform transformations and use them to analyze the orientation and size of geometric shapes.
8.2.3.a Identify the similarity of dilated shapes
8.2.3.b Perform and describe positions and sizes of shapes under dilations (e.g., scale factor, ratios)
Dilations: graph the image (8-Q.2)
Dilations: find the coordinates (8-Q.3)
Dilations: scale factor and classification (8-Q.4)
8.2.4 Students will use visualization, spatial reasoning, and geometric modeling to solve problems.
8.2.4.a Draw geometric objects with specified properties (e.g., parallel sides, number of sides, angle measures, number of faces)
8.2.5 Students will select and apply appropriate procedures, tools, and formulas to determine measurements.
8.2.5.a Use strategies to find the perimeter and area of complex shapes
Area of compound figures with triangles, semicircles, and quarter circles (7-AA.12)
Perimeter (8-T.1)
Area (8-T.2)
Area and perimeter: word problems (8-T.3)
Area between two shapes (8-T.4)
Circles, semicircles, and quarter circles (8-T.5)
Circles: word problems (8-T.6)
8.2.5.b Determine surface area and volume of three-dimensional objects (e.g., rectangular prisms, cylinders)
Volume of cubes, prisms, and pyramids (8-T.7)
Surface area of cubes, prisms, and pyramids (8-T.8)
Volume of cylinders and cones (8-T.9)
Surface area of cylinders and cones (8-T.10)
Volume of spheres (8-T.11)
Surface area of spheres (8-T.12)
8.2.5.c Apply the Pythagorean theorem to find missing lengths in right triangles and to solve problems
Pythagorean theorem: find the length of the hypotenuse (8-R.1)
Pythagorean theorem: find the missing leg length (8-R.2)
Pythagorean theorem: find the perimeter (8-R.3)
Pythagorean theorem: word problems (8-R.4)
Converse of the Pythagorean theorem: is it a right triangle? (8-R.5)
8.2.5.d Use scale factors to find missing lengths in similar shapes
Scale drawings: word problems (8-H.12)
Side lengths and angle measures of similar figures (8-Q.5)
8.2.5.e Convert between metric and standard units of measurement, given conversion factors (e.g., meters to yards)
Convert rates and measurements: customary units (8-L.1)
Convert rates and measurements: metric units (8-L.2)
Mixed customary units (8-L.3)
Convert between customary and metric systems (8-L.4)
Convert between Celsius and Fahrenheit (8-L.6)
8.3 Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
8.3.1 Students will represent and analyze relationships using algebraic symbols.
8.3.1.a Represent and analyze a variety of patterns with tables, graphs, words, and algebraic equations
Write equations for proportional relationships from tables (8-I.2)
Identify proportional relationships by graphing (8-I.3)
Write equations for proportional relationships from graphs (8-I.5)
Identify arithmetic and geometric sequences (8-U.1)
Arithmetic sequences (8-U.2)
Geometric sequences (8-U.3)
Number sequences: mixed review (8-U.4)
Number sequences: word problems (8-U.5)
Graph a line from an equation (8-Y.6)
Identify functions (8-Z.1)
Complete a table for a linear function (8-Z.7)
Complete a table and graph a linear function (8-Z.8)
Write a linear function from a table (8-Z.10)
Compare linear functions: graphs, tables, and equations (8-Z.11)
Write linear functions: word problems (8-Z.12)
Find values using function graphs (8-Z.17)
Complete a table for a function graph (8-Z.18)
8.3.1.b Describe relationships using algebraic expressions, equations, and inequalities (e.g., two-step, one variable)
Write equations for proportional relationships from tables (8-I.2)
Write variable expressions for arithmetic sequences (8-U.7)
Write variable expressions (8-V.1)
Write variable expressions from diagrams (8-V.2)
Write variable expressions: word problems (8-V.3)
Write an equation from words (8-W.2)
Model and solve equations using algebra tiles (8-W.3)
Write and solve equations that represent diagrams (8-W.4)
Write inequalities from number lines (8-X.3)
Write a linear equation from a slope and y-intercept (8-Y.7)
Write a linear equation from a graph (8-Y.8)
Write a linear equation from a slope and a point (8-Y.9)
Write a linear equation from two points (8-Y.10)
Write a linear function from a table (8-Z.10)
Write linear functions: word problems (8-Z.12)
8.3.1.c Identify constant slope from tables and graphs
Find the constant of proportionality from a table (8-I.1)
Find the constant of proportionality from a graph (8-I.4)
Find the slope of a graph (8-Y.1)
Find the slope from two points (8-Y.2)
Find a missing coordinate using slope (8-Y.3)
Find the slope of an equation (8-Y.4)
Slopes of parallel and perpendicular lines (8-Y.11)
Constant rate of change (8-Z.5)
8.3.2 Students will create, use, and interpret models of quantitative relationships.
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
Interpret graphs of proportional relationships (8-I.8)
Model and solve equations using algebra tiles (8-W.3)
Solve equations: word problems (8-W.12)
Write inequalities from number lines (8-X.3)
Identify independent and dependent variables (8-Z.3)
Interpret the graph of a linear function: word problems (8-Z.9)
Write linear functions: word problems (8-Z.12)
Model polynomials with algebra tiles (8-BB.2)
8.3.2.b Represent a variety of quantitative relationships using algebraic expressions and two-step/one variable equations
Write equations for proportional relationships from tables (8-I.2)
Write variable expressions for arithmetic sequences (8-U.7)
Write variable expressions (8-V.1)
Write variable expressions from diagrams (8-V.2)
Write variable expressions: word problems (8-V.3)
Write an equation from words (8-W.2)
Model and solve equations using algebra tiles (8-W.3)
Write and solve equations that represent diagrams (8-W.4)
Write a linear equation from a slope and y-intercept (8-Y.7)
Write a linear equation from a graph (8-Y.8)
Write a linear equation from a slope and a point (8-Y.9)
Write a linear equation from two points (8-Y.10)
Write linear functions: word problems (8-Z.12)
Add polynomials to find perimeter (8-BB.5)
8.3.3 Students will apply properties to solve equations and inequalities.
8.3.3.e Identify and explain the properties used in solving two-step inequalities and multi-step equations
Properties of addition and multiplication (8-V.10)
Multiply using the distributive property (8-V.11)
Write equivalent expressions using properties (8-V.12)
Properties of equality (8-W.5)
8.4 Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
8.4.1 Students will formulate questions that can be addressed with data, and then organize, display, and analyze the relevant data to answer their questions.
8.4.1.a Represent data using circle graphs and box plots with and without the use of technology
8.4.1.b Compare characteristics between sets of data or within a given set of data
Interpret bar graphs (8-CC.2)
Interpret line graphs (8-CC.4)
Interpret line plots (8-CC.6)
Create and interpret line plots with fractions (8-CC.8)
Interpret stem-and-leaf plots (8-CC.9)
Interpret histograms (8-CC.10)
Interpret box-and-whisker plots (8-CC.13)
Interpret circle graphs (8-CC.15)
Choose the best type of graph (8-CC.17)
Identify an outlier (8-DD.6)
Identify an outlier and describe the effect of removing it (8-DD.7)
Outliers in scatter plots (8-DD.8)
8.4.1.c Find, interpret, and compare measures of central tendency (mean, median, mode) and the quartiles for sets of data
Calculate mean, median, mode, and range (8-DD.1)
Interpret charts to find mean, median, mode, and range (8-DD.2)
Mean, median, mode, and range: find the missing number (8-DD.3)
Changes in mean, median, mode, and range (8-DD.4)
Quartiles (8-DD.5)
Identify an outlier and describe the effect of removing it (8-DD.7)
8.4.1.d Select the most appropriate unit of central tendency for sets of data
8.4.1.e Identify misrepresentation and misinterpretation of data represented in circle graphs and box plots
Identify representative, random, and biased samples (8-DD.10)
8.4.2 Students will evaluate predictions and make inferences based on data.
8.4.2.a Evaluate predictions to formulate new questions and plan new studies
8.4.2.b Compare and contrast two sets of data to make inferences
Interpret box-and-whisker plots (8-CC.13)
8.4.3 Students will apply and interpret basic concepts of probability.
8.4.3.a Identify complementary events and calculate their probabilities
Probability of opposite, mutually exclusive, and overlapping events (8-EE.2)
8.4.3.b Compute probabilities for independent compound events
Compound events: find the number of outcomes (8-EE.5)