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6.1.0
Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.
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6.1.A
Patterns and Functions
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6.1.A.1
Identify, describe, extend, and create numeric patterns and functions
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6.1.A.1.a
Identify and describe sequences represented by a physical model or in a function table
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6.1.A.1.b
Interpret and write a rule for a one-operation (+, -, x, รท) function table
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6.1.A.1.c
Complete a function table with a given two-operation rule
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6.1.B
Expressions, Equations, and Inequalities
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6.1.B.1
Write and evaluate expressions
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6.1.B.1.a
Write an algebraic expression to represent unknown quantities
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6.1.B.1.b
Evaluate an algebraic expression
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6.1.B.1.c
Evaluate numeric expressions using the order of operations
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6.1.B.1.d
Represent algebraic expressions using physical models, manipulatives, and drawings
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6.1.B.2
Identify, write, solve, and apply equations and inequalities
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6.1.B.2.a
Identify and write equations and inequalities to represent relationships
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6.1.B.2.b
Determine the unknown in a linear equation
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6.1.B.2.c
Solve for the unknown in a one-step inequality
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6.1.B.2.d
Identify or graph solutions of a one-step inequality on a number line
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6.1.B.2.e
Apply given formulas to a problem solving situation
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6.1.C
Numeric and Graphic Representations of Relationships
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6.1.C.1
Locate points on a number line and in a coordinate plane
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6.1.C.1.a
Represent rational numbers on a number line
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6.1.C.1.b
Graph ordered pairs in a coordinate plane.
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6.1.C.1.c
Graph linear data from a function table
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6.1.C.2
Analyze linear relationships
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6.1.C.2.a
Identify and describe the change represented in a graph
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6.1.C.2.b
Translate the graph of a linear relationship onto a table of values that illustrates the type of change
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6.2.0
Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.
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6.2.A
Plane Geometric Figures
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6.2.A.1
Analyze the properties of plane geometric figures
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6.2.A.1.a
Identify, describe, and label points, lines, rays, line segments, vertices, angles, and planes using correct symbolic notation
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6.2.A.1.b
Identify and describe line segments
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6.2.A.1.c
Identify and describe the parts of a circle
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6.2.A.2
Analyze geometric relationships
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6.2.A.2.a
Compare and classify triangles by sides
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6.2.A.2.b
Compare and classify triangles by angle measure
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6.2.A.2.c
Determine a third angle measure of a triangle given two angle measures
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6.2.A.2.d
Identify and compare the relationship between parts of a circle
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6.2.C
Representation of Geometric Figures
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6.2.C.1
Represent plane geometric figures
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6.2.C.1.a
Draw geometric figures using a variety of tools
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6.2.C.1.b
Identify, describe, or draw a polygon
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6.2.C.1.c
Identify or describe angle relationships
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6.2.D
Congruence and Similarity
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6.2.D.1
Analyze congruent figures
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6.2.D.1.a
Identify and describe congruent polygons and their corresponding parts
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6.2.E
Transformations
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6.2.E.1
Analyze a transformation on a coordinate plane
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6.2.E.1.a
Plot the result of one transformation (translation, reflection, rotation) on a coordinate plane
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6.3.0
Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools or technology for determining measurements.
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6.3.B
Measurement Tools
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6.3.B.1
Measure in customary and metric units
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6.3.B.1.a
Select and use appropriate tools and units
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6.3.B.2
Measure angles in polygons
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6.3.C
Applications in Measurement
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6.3.C.1
Estimate and apply measurement formulas
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6.3.C.1.a
Estimate and determine the area of a polygon
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6.3.C.1.b
Estimate and determine the volume of a rectangular prism
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6.3.C.1.c
Estimate and determine the area of a composite figure
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6.3.C.1.d
Determine missing dimension of a quadrilateral given the perimeter length
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6.3.C.1.e
Determine the missing dimension of rectangles
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6.4.0
Students will collect, organize, display, analyze, or interpret data to make decisions or predictions.
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6.4.A
Data Displays
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6.4.A.1
Organize and display data
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6.4.A.1.a
Organize and display data to make frequency tables
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6.4.A.1.b
Organize and display data to make stem-and-leaf plots
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6.4.A.1.c
Organize and display data using a back-to-back stem-and-leaf plot
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6.4.B
Data Analysis
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6.4.B.1
Analyze data
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6.4.B.1.a
Interpret frequency tables
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6.4.B.1.b
Read and analyze circle graphs
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6.4.B.1.c
Interpret data from a stem-and-leaf plot
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6.4.B.2
Describe a set of data
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6.4.B.2.a
Apply measures of central tendency (mean, median, mode)
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6.5.0
Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation.
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6.5.B
Theoretical Probability
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6.5.B.1
Determine the probability of one simple event comprised of equally likely outcomes
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6.5.B.1.a
Express the probability of an event as a fraction.
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6.5.B.1.b
Express the probability of an event as a decimal
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6.5.B.1.c
Express the probability of an event as a percent
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6.5.C
Experimental Probability
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6.5.C.1
Analyze the results of a probability experiment
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6.5.C.1.a
Make predictions and express the experimental probability as a fraction, a decimal, or a percent
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6.5.C.2
Conduct a probability experiment
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6.5.C.3
Compare outcomes of theoretical probability with the results of experimental probability
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6.5.C.4
Describe the difference between theoretical and experimental probability
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6.6.0
Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology.
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6.6.A
Knowledge of Number and Place Value
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6.6.A.1
Apply knowledge of rational numbers and place value
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6.6.A.1.a
Read, write, and represent whole numbers
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6.6.A.1.b
Read, write, and represent integers
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6.6.A.1.c
Identify and determine equivalent forms of fractions as decimals, as percents, and as ratios
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6.6.A.1.d
Compare and order fractions, decimals alone or mixed together, with and without relational symbols (<, >, =)
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6.6.A.1.e
Compare and order integers
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6.6.B
Number Theory
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6.6.B.1
Apply number relationships
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6.6.B.1.a
Determine prime factorizations for whole numbers and express them using exponential form
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6.6.C
Number Computation
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6.6.C.1
Analyze number relations and compute
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6.6.C.1.a
Add and subtract fractions and mixed numbers and express answers in simplest form
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6.6.C.1.b
Multiply fractions and mixed numbers and express in simplest form
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6.6.C.1.c
Multiply decimals
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6.6.C.1.d
Divide decimals
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6.6.C.1.e
Determine a percent of a whole number
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6.6.C.1.f
Simplify numeric expressions using the properties of addition and multiplication
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6.6.C.2
Estimation
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6.6.C.2.a
Determine the approximate products and quotients of decimals
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6.6.C.3
Analyze ratios, proportions, and percents
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6.6.C.3.a
Represent ratios in a variety of forms
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6.6.C.3.b
Use ratios and unit rates to solve problems
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IXL Learning. All rights reserved.