|
8.NO
Number and Operations
|
-
8.NO.1
Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems
-
8
Rational Numbers
-
8.NO.1.8.1
Read, write, compare and solve problems, with and without appropriate technology, including numbers less than 1 in scientific notation
-
8.NO.1.8.2
Convert between scientific notation and standard notation, including numbers from zero to one
-
8.NO.1.8.3
Compare and order real numbers including irrational numbers and find their approximate location on a number line (Use technology when appropriate)
-
8.NO.1.8.4
Understand and justify classifications of numbers in the real number system
-
8.NO.2
Students shall understand meanings of operations and how they relate to one another
-
8
Number Theory
-
8.NO.2.8.1
Apply the addition, subtraction, multiplication and division properties of equality to two-step equations
-
8.NO.2.8.2
Understand and apply the inverse and identity properties
-
8.NO.2.8.3
Use inverse relationships (addition and subtraction, multiplication and division, squaring and square roots) in problem solving situations
-
8.NO.2.8.4
Apply rules (conventions) for order of operations to rational numbers
-
8
Understand Operations
-
8.NO.2.8.5
Model and develop addition, subtraction, multiplication and division of rational numbers
-
8.NO.3
Students shall compute fluently and make reasonable estimates
-
8
Computational Fluency
-
8.NO.3.8.1
Compute, with and without appropriate technology, with rational numbers in multi-step problems
-
8.NO.3.8.2
Solve, with and without appropriate technology, multi-step problems using a variety of methods and tools (i.e. objects, mental computation, paper and pencil)
-
8
Estimation
-
8.NO.3.8.3
Use estimation to solve problems involving rational numbers; including ratio, proportion, percent (increase or decrease) then judge the reasonableness of solutions
-
8
Application of Computation
-
8.NO.3.8.4
Apply factorization to find LCM and GCF of algebraic expressions
-
8.NO.3.8.5
Calculate and find approximations of square roots with appropriate technology
-
8.NO.3.8.6
Solve, with and without technology, real world percent problems including percent of increase or decrease
|
|
8.A
Algebra
|
-
8.A.4
Students shall recognize, describe, and develop patterns, relations and functions
-
8
Patterns, Relations and Functions
-
8.A.4.8.1
Find the nth term in a pattern or a function table
-
8.A.4.8.2
Using real world situations, describe patterns in words, tables, pictures, and symbolic representations
-
8.A.4.8.3
Interpret and represent a two operation function as an algebraic equation
-
8.A.4.8.4
Use tables, graphs, and equations to identify independent/dependent variables (input/output)
-
8.A.5
Students shall represent and analyze mathematical situations and structures using algebraic symbols
-
8
Expressions, Equations and Inequalities
-
8.A.5.8.1
Solve and graph two-step equations and inequalities with one variable and verify the reasonableness of the result with real world application with and without technology
-
8.A.5.8.2
Solve and graph linear equations (in the form y=mx+b)
-
8.A.5.8.3
Translate sentences into algebraic equations and inequalities and combine like terms within polynomials
-
8.A.5.8.4
Write and evaluate algebraic expressions using rational numbers
-
8.A.6
Students shall develop and apply mathematical models to represent and understand quantitative relationships
-
8
Algebraic Models and Relationships
-
8.A.6.8.1
Describe, with and without appropriate technology, the relationship between the graph of a line and its equation, including being able to explain the meaning of slope as a constant rate of change (rise/run) and y-intercept in real world problems
-
8.A.6.8.2
Represent, with and without appropriate technology, linear relationships concretely, using tables, graphs and equations
-
8.A.6.8.3
Differentiate between independent/dependent variables given a linear relationship in context
-
8.A.6.8.4
Represent, with and without appropriate technology, simple exponential and/or quadratic functions using verbal descriptions, tables, graphs and formulas and translate among these representations
-
8.A.7
Students shall analyze change in various contexts
-
8
Analyze Change
-
8.A.7.8.1
Use, with and without technology, graphs of real life situations to describe the relationships and analyze change including graphs of change (cost per minute) and graphs of accumulation (total cost)
|
|
8.G
Geometry
|
-
8.G.8
Students shall analyze characteristics and properties of 2 and 3 dimensional geometric shapes and develop mathematical arguments about geometric relationships
-
8
Characteristics of Geometric Shapes
-
8.G.8.8.1
Form generalizations and validate conclusions about properties of geometric shapes
-
8.G.8.8.2
Make, with and without appropriate technology, and test conjectures about characteristics and properties between two-dimensional figures and three-dimensional objects
-
8.G.8.8.3
Determine appropriate application of geometric ideas and relationships, such as congruence, similarity, and the Pythagorean theorem, with and without appropriate technology
-
8.G.9
Students shall apply transformations and the use of symmetry to analyze mathematical situations
-
8
Symmetry and Transformations
-
8.G.9.8.1
Determine a transformation's line of symmetry and compare the properties of the figure and its transformation
-
8.G.9.8.2
Draw the results of translations and reflections about the x-and y-axis and rotations of objects about the origin
-
8.G.10
Students shall specify locations and describe spatial relationships using coordinate geometry and other representational systems
-
8
Coordinate Geometry
-
8.G.10.8.1
Use coordinate geometry to explore the links between geometric and algebraic representations of problems (lengths of segments/distance between points, slope/perpendicular-parallel lines)
-
8.G.11
Students shall use visualization, spatial reasoning and geometric modeling
-
8
Spatial Visualization and Models
-
8.G.11.8.1
Using isometric dot paper interpret and draw different views of buildings
|
|
8.M
Measurement
|
-
8.M.12
Students shall use attributes of measurement to describe and compare mathematical and real world objects
-
8
Attributes and Tools
-
8.M.12.8.1
Understand, select and use, with and without appropriate technology, the appropriate units and tools to measure angles, perimeter, area, surface area and volume to solve real world problems
-
8.M.12.8.2
Describe and apply equivalent measures using a variety of units within the same system of measurement
-
8.M.13
Students shall identify and use units, systems and processes of measurement
-
8
Attributes and Tools
-
8.M.13.8.1
Draw and apply measurement skills with fluency to appropriate levels of precision
-
8
Applications
-
8.M.13.8.2
Solve problems involving volume and surface area of pyramids, cones and composite figures, with and without appropriate technology
-
8.M.13.8.3
Apply proportional reasoning to solve problems involving indirect measurements, scale drawings or rates
-
8.M.13.8.4
Find the distance between two points on a coordinate plane using with the Pythagorean theorem
-
8.M.13.8.5
Estimate and compute the area of irregular two-dimensional shapes
|
|
8.DAP
Data Analysis and Probability
|
-
8.DAP.14
Students shall formulate questions that can be addressed with data and collect, organize and display relevant data to answer them
-
8
Collect, organize and display data
-
8.DAP.14.8.1
Design and conduct investigations which include
-
8.DAP.14.8.1.a
adequate number of trials
-
8.DAP.14.8.1.b
unbiased sampling
-
8.DAP.14.8.1.c
accurate measurement
-
8.DAP.14.8.1.d
record-keeping
-
8.DAP.14.8.2
Explain which types of display are appropriate for various data sets (scatter plot for relationship between two variants and line of best fit)
-
8.DAP.14.8.3
Interpret or solve real world problems using data from charts, line plots, stem-and leaf plots, double-bar graphs, line graphs, box-and whisker plots, scatter plots, frequency tables or double line graphs
-
8.DAP.15
Students shall select and use appropriate statistical methods to analyze data
-
8
Data Analysis
-
8.DAP.15.8.1
Compare and contrast the reliability of data sets with different size populations
-
8.DAP.15.8.2
Analyze, with and without appropriate technology, graphs by comparing measures of central tendencies and measures of spread
-
8.DAP.15.8.3
Given at least one of the measures of central tendency create a data set
-
8.DAP.15.8.4
Describe how the inclusion of outliers affects those measures
-
8.DAP.16
Students shall develop and evaluate inferences and predictions that are based on data
-
8
Inferences and Predictions
-
8.DAP.16.8.1
Use observations about differences between sets of data to make conjectures about the populations from which the data was taken
-
8.DAP.17
Students shall understand and apply basic concepts of probability
-
8
Probability
-
8.DAP.17.8.1
Compute, with and without appropriate technology, probabilities of compound events, using organized lists, tree diagrams and logic grid
-
8.DAP.17.8.2
Make predictions based on theoretical probabilities, design and conduct an experiment to test the predictions, compare actual results to predict results, and explain differences
|
|
© 2012
IXL Learning. All rights reserved.