|
9-10.1
Number and Operation
|
-
9-10.1
Number, Number Relationships, and Number Systems
-
9-10.1.1
Express numbers between one-billionth and one billion in fraction, decimal, and verbal form; express numbers of all magnitudes in scientific notation
-
9-10.1.2
Describe the hierarchal relationships (e.g., integers are rationals) among subsets of the real number system; i.e., reals, rationals, irrationals, integers, wholes, and naturals
-
9-10.1.3
Identify the properties of the real number system; i.e., commutative, associative, distributive, closure, inverse, and identity properties
-
9-10.1.4
Represent a set of data in a matrix
-
9-10.1
Operations and Their Properties
-
9-10.1.5
Use the order of operations and properties of exponents to simplify an algebraic expression
-
9-10.1.6
Analyze the effects of multiplication, division, raising to a power, and extracting a root on the magnitudes of quantities; e.g., when will the square root of a number be greater than the number itself, or what will happen to the magnitude of a number when you multiply it by a negative number?
-
9-10.1.7
Apply basic properties of exponents to simplify algebraic expressions; i.e., power of a product, power of a power, products and quotients of powers, zero and negative exponents
-
9-10.1
Computational Fluency and Estimation
-
9-10.1.8
Apply estimation skills to predict realistic solutions to problems
-
9-10.1.9
Select and use a computational technique (i.e., mental calculation, paper-and-pencil, or technology) to solve problems involving real numbers
-
9-10.1.10
Explain the reasonableness of a problem's solution and the process used to obtain it
-
9-10.1.11
Add, subtract, and perform scalar multiplication on matrices
|
|
9-10.2
Geometry and Spatial Sense
|
-
9-10.2
Two- and Three-Dimensional Shapes, Geometric Properties and Relationships
-
9-10.2.1
Identify the properties and attributes of two- and three-dimensional objects that distinguish one from another; e.g., a cylinder has two parallel circular bases
-
9-10.2.2
Determine congruence and similarity among geometric objects
-
9-10.2.3
Use trigonometric relationships and the Pythagorean Theorem to determine side lengths and angle measures in right triangles
-
9-10.2.4
Using given information, establish the validity of a conjecture using a two-column or paragraph proof
-
9-10.2
Coordinate Geometry
-
9-10.2.5
Use Cartesian coordinates to determine distance, midpoint, and slope
-
9-10.2.6
Use distance, midpoint, and slope to determine relationships between points, lines, and plane figures in the Cartesian coordinate system; e.g., determine whether a triangle is scalene, isosceles, or equilateral given the coordinates of its vertices
-
9-10.2
Transformation and Symmetry
-
9-10.2.7
Identify and perform transformations of objects in the plane using sketches (translations, reflections, rotations, and dilations) and coordinates (translations, reflections, and dilations)
-
9-10.2.8
Describe the effects of combining basic transformations in a plane; e.g., two reflections over parallel lines results in a translation
-
9-10.2
Visualization, Spatial Reasoning, and Geometric Modeling
-
9-10.2.9
Construct plane figures using traditional and/or technological tools; i.e., congruent segments, congruent angles, angle and segment bisectors, perpendicular and parallel lines
-
9-10.2.10
Recognize images of the same object shown from different perspectives; i.e., a two-dimensional image of a three-dimensional object
-
9-10.2.11
Use geometric models to find solutions to problems in mathematics and other disciplines; e.g., art and architecture
|
|
9-10.3
Data Analysis, Statistics, and Probability
|
-
9-10.3
Data Collection, Display, and Interpretation
-
9-10.3.1
Construct appropriate displays of given data; i.e., circle graphs, bar graphs, histograms, stem-and-leaf plots, box-and-whisker plots, and scatter plots
-
9-10.3.2
Interpret a given visual representation (i.e., circle graphs, bar graphs, histograms, stem-and-leaf plots, box-and-whisker plots, and scatter plots) of a set of data
-
9-10.3.3
Identify the variable, sample, and population in a well-designed study; e.g., in an exit poll for a tax increase, the variable is the outcome of the vote, the sample is the set of people surveyed, the population is the set of all voters
-
9-10.3
Probability
-
9-10.3.4
Determine the number of possible outcomes for a given event, using appropriate counting techniques; e.g., fundamental counting principle, factorials, combinations, permutations
-
9-10.3.5
Calculate experimental and theoretical probabilities with and without replacement
-
9-10.3.6
Calculate probabilities of compound events using addition and multiplication rules
-
9-10.3
Statistical Methods
-
9-10.3.7
Calculate measures of central tendency and spread; i.e., mean, median, mode, range, and quartiles
-
9-10.3.8
Discuss relationships among measures of central tendency and spread; i.e., mean, median, mode, range, and quartiles
-
9-10.3
Predictions, Data Analysis and Inferences
-
9-10.3.9
Select two points and approximate an equation for the line of best fit (if appropriate) for a set of data
-
9-10.3.10
Identify the trend of a set of data and estimate the strength of the correlation between two variables; e.g., strong vs. weak, positive vs. negative
|
|
9-10.4
Measurement
|
-
9-10.4
Measurable Attributes, Measurement Systems and Units
-
9-10.4.1
Select appropriate units and scales for problem situations involving measurement
-
9-10.4.2
Describe the effects of scalar change on the area and volume of a figure; e.g., the effect of doubling one or more edges of a solid on its surface area and volume
-
9-10.4.3
Use approximations to compare the standard and metric systems of measurement; e.g., a five-kilometer race is about three miles long
-
9-10.4.4
Given a conversion factor, convert between standard and metric measurements
-
9-10.4
Measurement Tools, Techniques and Formulas
-
9-10.4.5
Use methods necessary to achieve a specified degree of precision and accuracy (i.e., appropriate number of significant digits) in measurement situations
-
9-10.4.6
Employ estimation techniques to evaluate reasonableness of results in measurement situations
-
9-10.4.7
Use unit analysis to track units during computations
-
9-10.4.8
Given a formula list, compute the area of a regular polygon
-
9-10.4.9
Given a formula list, compute the surface area and volume of a right prism, right cylinder, right pyramid, right cone, and sphere
-
9-10.4.10
Apply indirect measurement techniques to solve problems involving irregular shapes or inaccessible objects; e.g., calculate the distance across a lake, triangulate an irregular region to find its approximate area
|
|
9-10.5
Algebra, Functions, and Patterns
|
-
9-10.5
Patterns, Relations, and Functions
-
9-10.5.1
Given the explicit and/or the recursive definition of a sequence, generate a specific term (explicit formula only) or a specified number of terms
-
9-10.5.2
Express relations and functions using a variety of representations; i.e., numeric, graphic, symbolic, and verbal
-
9-10.5.3
Determine whether a relation is a function by examining various representations of the relation; e.g., table, graph, equation, set of ordered pairs
-
9-10.5.4
Perform the operations of addition, subtraction, multiplication, and division on algebraic functions; e.g., given f(x) = 2x and g(x) = 5x - 7, find f(x) + g(x)
-
9-10.5.5
Identify the independent variable, dependent variable, domain, and range of a function
-
9-10.5.6
Draw graphs of linear and quadratic functions using paper and pencil, labeling key features; e.g., graph a line and label its x-intercept and y-intercept, graph a parabola and label its vertex and one point on each side of the vertex
-
9-10.5
Numeric and Algebraic Representations
-
9-10.5.7
Use algebraic expressions, equations, or inequalities involving one or two variables to represent relationships (e.g., given a verbal statement, write an equivalent algebraic expression or equation) found in various contexts (e.g., time and distance problems, mixture problems)
-
9-10.5.8
Manipulate algebraic expressions and equations using properties of real numbers; e.g., simplify, factor
-
9-10.5.9
Solve linear equations and inequalities, systems of two linear equations or inequalities, and quadratic equations having rational solutions; e.g., factoring, quadratic formula
-
9-10.5.10
Solve a literal equation for a specified variable; e.g., solve I = prt for r, or solve 7n + p = t for
-
9-10.5
Mathematical Modeling
-
9-10.5.11
Use essential quantitative relationships in a situation to determine whether the relationship can be modeled by a linear function; e.g., simple interest is linear, compound interest is not linear
-
Solve equations: Solve linear equations: word problems (Algebra - J.8)
-
Linear functions: Identify linear functions (Algebra - S.1)
-
Linear functions: Linear function word problems (Algebra - S.8)
-
Linear inequalities: Linear inequalities: solve for y (Algebra - T.2)
-
Systems of linear equations: Classify a system of equations (Algebra - U.7)
-
Functions: linear, quadratic, exponential: Identify linear, quadratic, and exponential functions from graphs (Algebra - CC.1)
-
Functions: linear, quadratic, exponential: Identify linear, quadratic, and exponential functions from tables (Algebra - CC.2)
-
Functions: linear, quadratic, exponential: Write linear, quadratic, and exponential functions (Algebra - CC.3)
-
9-10.5.12
Graphically represent the solution or solutions to an equation, inequality, or system
-
9-10.5.13
Interpret a graphical representation of a real-world situation
-
9-10.5.14
Draw conclusions about a situation being modeled
-
9-10.5
Rates of Change
-
9-10.5.15
Approximate and interpret rates of change from graphical and numerical data
|
|
© 2012
IXL Learning. All rights reserved.