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Alaska Standards - Grade 8 Math
The state of Alaska 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.
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N Understand and use numeration
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M1.3.1 Read, write, model, and order real numbers, explaining scientific notation, exponents, and percents.
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M1.3.2 Model counting in a different base system.
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M1.3.3 Translate between equivalent representations of the same number. Select a representation that is appropriate for the situation.
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M1.3.4 Describe and model the relationship of fractions to decimals, percents, ratios, and proportions.
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M1.3.5 Use, explain, and define the rules of divisibility, prime and composite numbers, multiples, and order of operations.
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M1.3.6 Use commutative, identity, associative, and distributive properties with variables.
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N-1 ordering real numbers
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N-2 distinguishing between a whole number in scientific notation and real numbers in standard form
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N-3 converting between expanded notation (multiples of ten with exponents) and standard form
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N-4 identifying, describing, or illustrating equivalent representations
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N-5 expressing products of numbers using exponents
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N-6 using models, explanations, number lines, real-life situations, describing or illustrating the effects of arithmetic operations on rational numbers (percents)
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N-7 using models, explanations, number lines, real-life situations, describing or illustrating the use of inverse operations (addition/subtraction or multiplication/division)
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N-8 applying the rules for order of operations to rational numbers
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N-9 identifying or writing the prime factorization of a number using exponents
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N-10 [using distributive property with real numbers]
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MEA Select and use systems, units, and tools of measurement
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M2.3.1 Estimate and measure various dimensions to a specified degree of accuracy.
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M2.3.2 Estimate and convert measurements within the same system.
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M2.3.3 Use a variety of methods and tools to construct and compare plane figures.
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M2.3.4 Describe and apply the relationships between dimensions of geometric figures to solve problems using indirect measurement; describe and apply the concepts of rate and scale.
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M2.3.5 Apply information about time zones and elapsed time to solve problems.
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MEA-1 converting measurements within the same system (English or metric)
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MEA-2 using scale drawings involving indirect measurement (determining the scale factor and applying it to find missing dimension)
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MEA-3 [modeling the conversion within the same system]
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E&C Perform basic arithmetic functions, make reasoned estimates, and select and use appropriate methods or tools
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M3.3.1 Apply, explain, and assess the appropriateness of a variety of estimation strategies including truncating and rounding to compatible numbers.
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M3.3.2 Apply basic operations efficiently and accurately, using estimation to check the reasonableness of results.
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M3.3.3 Add and subtract fractions, decimals, and percents.
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M3.3.4 Multiply and divide rational numbers in various forms including fractions, decimals, and percents.
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M3.3.5 Convert between equivalent fractions, decimals, percents, and proportions. Convert from exact to decimal representations of irrational numbers.
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M3.3.6 Solve problems using ratios and proportions.
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E&C-1 [applying and assessing the appropriateness of a variety of estimation strategies]
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E&C-2 adding, subtracting, multiplying or dividing integers or positive rational numbers
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E&C-3 percents and percentages (e.g., tax, discount)
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E&C-4 converting between equivalent fractions, decimals, or percents
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E&C-5 ratio and proportion
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F&R Represent, analyze, and use patterns, relations, and functions
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M4.3.1 Identify numeric and geometric patterns to find the next term and predict the nth term.
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M4.3.2 Identify and describe how a change in one variable in a function affects the remaining variables (e.g., how changing the length affects the area and volume of a rectangular prism).
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M4.3.3 Use a calculator to find a missing item in arithmetic and a geometric sequence; predict the graph of each function.
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M4.3.4 Translate among and use tables of ordered pairs, graphs on coordinate planes, and linear equations as tools to represent and analyze patterns.
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M4.3.5 Find the value of a variable by evaluating formulas and algebraic expressions for given values.
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F&R-1 describing or extending patterns (linear), up to the nth term, represented in, tables, sequences, graphs, or in problem situations
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F&R-2 generalizing relationships (linear) using a table of ordered pairs, a graph, or an equation
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F&R-3 describing in words how a change in one variable in a formula affects the remaining variables (how changing the length affects the area of quadrilaterals or volume of a rectangular prism)
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F&R-4 [using a calculator as a tool when describing, extending, or representing patterns]
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F&R-5 translating a written phrase to an algebraic expression
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F&R-6 solving or identifying solutions to two-step linear equations of the form ax ?? b = c, where a, b and c are rational numbers, and a is not equal to 0, translating a story problem into an equation of similar form, or translating a story problem into an equation of similar form and solving it
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G Construct, transform, and analyze geometric figures.
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M5.3.1 Identify, classify, compare, and sketch regular and irregular polygons.
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M5.3.2 Model, identify, draw, and describe 3-dimensional figures including tetrahedrons, dodecahedrons, triangular prisms, and rectangular prisms.
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M5.3.3 Apply the properties of equality and proportionality to solve problems involving congruent or similar shapes.
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M5.3.4 Estimate and determine volume and surface areas of solid figures using manipulatives and formulas; estimate and find circumferences and areas of circles.
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M5.3.5 Draw and describe the results of transformations including translations (slides), rotations (turns), reflections (flips), and dilations (shrinking or enlarging).
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M5.3.6 Use coordinate geometry to represent and interpret relationships defined by equations and formulas including distance and midpoint.
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M5.3.7 Draw, measure, and construct geometric figures including perpendicular bisectors, polygons with given dimensions and angles, circles with given dimensions, perpendicular and parallel lines.
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G-1 [using the attributes and properties of regular polygons to sketch regular or irregular polygons]
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G-2 using the attributes and properties of solid figures (vertices, length and alignment of edges, shape and number of bases) to identify and describe cylinders and cones
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G-3 using two-dimensional nets to create three-dimensional objects (prisms and cylinders)
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G-4 using proportionality to solve real-world problems involving similar shapes (e.g., two real-world objects casting shadows)
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G-5 identifying the results of applying transformations (translations, rotations, reflections, dilations) to figures on a coordinate plane
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G-6 determining the volume of right triangular prisms or cylinders
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G-7 determining the surface area of cylinders or triangular prisms
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G-8 determining the circumference and area of a circle
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G-9 graphing or identifying relationships of variables on a coordinate plane (e.g., length/width, area/diameter, cost/pound)
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G-10 [drawing, measuring, or constructing geometric figures (polygons, perpendicular bisectors, or perpendicular or parallel lines)]
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S&P Formulate questions, gather and interpret data, and make predictions
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M6.3.1 Collect, analyze, and display data in a variety of visual displays including frequency distributions, circle graphs, box and whisker plots, stem and leaf plots, histograms, and scatter plots with and without technology.
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M6.3.2 Interpret and analyze information found in newspapers, magazines, and graphical displays
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M6.3.3 Determine and justify a choice of mean, median, or mode as the best representation of data for a practical situation.
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M6.3.4 Make projections based on available data and evaluate whether or not inferences can be made given the parameters of the data.
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M6.3.5 Use tree diagrams and sample spaces to make predictions about independent events.
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M6.3.6 Design and conduct a simulation to study a problem and communicate the results.
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S&P-1 [designing, collecting], organizing, displaying, or explaining the classification of data in real-world problems (e.g., science or humanities, peers or community), using histograms, scatter plots, or box and whisker plots with appropriate scale [or with technology]
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S&P-2 using information from a variety of displays or analyzing the validity of statistical conclusions found in the media
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S&P-3 determining or justifying a choice of range, mean, median, or mode as the best representation of data for a practical situation
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S&P-4 determining or comparing the experimental and/or theoretical probability of simple events
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S&P-5 using a systematic approach to finding sample spaces or to making predictions about the probability of independent events and using the information to solve real-world problems
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S&P-6 [designing and conducting a simulation to study a problem and communicate the results]
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Understand and be able to select and use a variety of problem-solving strategies
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M7.3.1 Analyze and summarize a problem using the relationships between the known facts and unknown information.
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M7.3.2 Select, modify, and apply a variety of problem-solving strategies including graphing, inductive and deductive reasoning, Venn diagrams, and spreadsheets.
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M7.3.3 Evaluate, interpret, and justify solutions to problems.
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PS-1 selecting, modifying, and applying a variety of problem-solving strategies (e.g., inductive and deductive reasoning, Venn diagrams, making a simpler problem) and verifying the results
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PS-2 evaluating, interpreting, and justifying solutions to problems
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Form and use appropriate methods to define and explain mathematical relationships
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M8.3.1 Use math vocabulary, symbols, and notation to represent information in the problem.
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M8.3.2 Represent a problem numerically, graphically, and symbolically; translate among these alternative representations.
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M8.3.3 Use appropriate vocabulary, symbols, and technology to explain, justify, and defend mathematical solutions.
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PS-3 representing mathematical problems numerically, graphically, and/or symbolically, translating among these alternative representations; or using appropriate vocabulary, symbols, or technology to explain, justify, and defend strategies and solutions
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Use logic and reason to solve mathematical problems
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M9.3.1 Use informal deductive and inductive reasoning in both concrete and abstract contexts.
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M9.3.2 State counterexamples to disprove statements.
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M9.3.3 Justify and defend the validity of mathematical strategies and solutions using examples and counterexamples.
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PS-4 generalizing from patterns of observations (inductive reasoning) about mathematical problems and testing using a logical verification (deductive reasoning); or justifying and defending the validity of mathematical strategies and solutions using examples and counterexamples
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Apply mathematical concepts and processes to situations within and outside of school.
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M10.3.1 Apply mathematical skills and processes to science and humanities.
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M10.3.2 Apply mathematical skills and processes to situations with peers and community.
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PS-5 using real-world contexts such as science, humanities, peers, community, and careers
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Smartest Way to Practice Math
TenMarks is the smartest way to practice and learn math online. Experience our interactive worksheets that engage students.
Personalized program, mapped to state standards
Interactive worksheets with hints and video lessons
Rewards and certificates motivate students
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