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Delaware Standards - Grade 8 Math
The state of Delaware 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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1.1.1 Use exponential notation to represent whole numbers
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1.1.2 Use square numbers and square roots to reason about the relationship between the side of a square and area of the square (e.g., side of a square with an area of 9 is the square root of 9 or 3, side of a square with area of 5 is the square root of 5)
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1.1.3 Apply knowledge of factors and multiples, evens and odds, primes and composites, to generalizations
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1.1.4 Explore the meaning of irrational numbers such as pi, or the square root of 3
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1.2.1 Perform computations with exponents, powers of 10, and scientific notation
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1.2.2 Use inverse operations to do and undo mathematical operations with rational numbers
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1.2.3 Demonstrate the reasonableness of an exact calculation by using an estimation or mental math strategy
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1.2.4 Explain how the distributive property is used to multiply (e.g., partial products, mixed numbers)
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1.2.5 Use meaningful relationships between addition, subtraction, multiplication, and division of integers to justify the rules of operations
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1.2.6 Apply proportional reasoning strategies to solve real-world problems
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1.2.7 Select and use appropriate methods and tools for computing (e.g., mental computation, estimation, calculators, paper and pencil) depending on the context and nature of the computation
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2.1.1 Determine the slope of a line given two points on the line (as coordinates, in a graph, in a table)
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2.1.2 Use y-intercept and slope to graph the equation of a line
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2.1.3 Compare the rates of change in tables and graphs and classify them as linear or nonlinear
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2.1.4 Recognize exponential rates of growth and decay in tables and graphs
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2.1.5 Use an algebraic expression to represent any term in a numeric or geometric pattern
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2.2.1 Write an equation given the tabular or graphic form of a linear problem
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2.2.2 Analyze the interrelationships among tables, graphs, and equations of lines, paying particular attention to the meaning of intercept and slope in the context of the problem
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2.2.3 Demonstrate the equivalence of two algebraic expressions using physical models
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2.2.4 Use tables, graphs and symbolic reasoning to identify functions as linear or nonlinear
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2.3.1 Apply the order of operations
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2.3.2 Explore the factor/product relationship between a quadratic expression and its linear factors.
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2.3.3 Use physical models to develop and write exponential and power models
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2.3.4 Combine two algebraic expressions to form a new expression
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2.3.5 Demonstrate the equivalence of linear expressions.
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2.3.6 Solve linear equations using inverse operations and properties of equality.
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3.1.1 Apply angle relationships to solve problems
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3.2 Location and transformation
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3.2.1 Apply proportional reasoning strategies to find unknown sides of similar triangle
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3.2.2 Develop and evaluate mathematical arguments to demonstrate geometric relationships such as similarity, congruence, or symmetry
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3.2.3 Use the Pythagorean Theorem to find missing sides of right triangles
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3.3.1 Explore the effects of scaling on volume and surface area of rectangular prisms (i.e., how does doubling the side lengths affect the volume?)
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3.3.2 Compare the surface area of rectangular prisms which have the same volume but different dimensions
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3.3.3 Find the measures of corresponding parts of similar figures
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3.3.4 Compare the relationship between the volume of different shapes with the same base and height (e.g., cylinder and cone, prism and pyramid)
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4.1.1 Pose questions that can be answered by collecting and organizing data from experiments, surveys, and relevant print and electronic resources
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4.1.2 Use random sampling methods to collect the necessary information to answer questions
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4.2.1 Construct displays of data to represent individual sets of data (e.g., histograms, box plots) or to explore the relationship between related sets of data (scatter plots, line graphs); describe the correspondence between data sets and their graphical displays
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4.3.1 Defend or dispute conclusions drawn from the interpretation of data by comparing sets of data or exploring possible relationships based upon scatter plots of related data and approximate lines of fit
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4.3.2 Analyze a representative sample to make inferences about a population
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4.3.3 Find and use appropriate measures of center (mean, media, mode) and spread (range, interquartile range) to interpret data
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4.3.4 Compare the usefulness of the mean and median as measures of center; describe the effect of changes in the data on the mean and median of the data set(s)
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4.4.1 Compare and make predictions based on theoretical and experimental probabilities, using sample data generated through actual experiments or computer simulations
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4.4.2 Construct an appropriate sample space and apply principles of probability for a simple or compound event
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4.4.3 Investigate and describe the difference between the event experimental probability of a simulated event (experiment) and the theoretical probability of the same event
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4.4.4 Explore the concepts of randomness and random sample
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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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