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8Grade 8 Standards
Top Mathematicians
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Geometry: Analyzing situations involving measures
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8.GAM.1.1.1
Chooses the appropriate unit of mass for the context
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8.GAM.1.1.2
Estimates and measures mass using unconventional units: grams, kilograms
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8.GAM.1.1.3
Establishes relationships between units of mass
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8.GAM.1.2.1
Chooses the appropriate unit of time for the context
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8.GAM.1.2.2
Estimates and measures time using conventional units
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8.GAM.1.2.3
Establishes relationships between units of time: second, minute, hour, day, daily cycle, weekly cycle, yearly cycle
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8.GAM.1.2.4
Distinguishes between duration and position in time
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8.GAM.1.3.1
Compares angles: acute angle, right angle, obtuse angle
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8.GAM.1.3.2
Estimates and determines the degree measure of angles
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8.GAM.1.3.3
Describes the characteristics of different types of angles: complementary, supplementary, adjacent, vertically opposite, alternate interior, alternate exterior and corresponding
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8.GAM.1.3.4
Determines measures of angles using the properties of the following angles: complementary, supplementary, vertically opposite, alternate interior, alternate exterior and corresponding
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8.GAM.1.3.5a
Finds unknown measurements using the properties of figures and relations: measures of angles in a triangle
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8.GAM.1.3.5b
Finds unknown measurements using the properties of figures and relations: degree measures of central angles and arcs
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8.190Circle Graphs and Central Angles5
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8.GAM.1.3.6
Justifies statements using definitions or properties associated with angles and their measures
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8.GAM.1.4.1
Chooses the appropriate unit of length for the context
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8.GAM.1.4.2
Estimates and measures the dimensions of an object using conventional units: millimetre, centimetre, decimetre, metre and kilometre
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8.GAM.1.4.3a
Establishes relationships between units of length: millimetre, centimetre, decimetre, metre and kilometre
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8.GAM.1.4.3b
Establishes relationships between measures of length of the international system (SI)
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8.GAM.1.4.4
Constructs relations that can be used to calculate the perimeter or circumference of figures
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8.216Circles: Calculate Area, Radius, Circumference5
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8.247Convert Mixed Metric Units5
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8.248Pythagorean Theorem: Find the Hypotenuse5
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8.249Pythagorean Theorem: Find the Leg5
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8.250Pythagorean Theorem: Find the Perimeter5
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8.251Pythagorean Theorem5
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8.GAM.1.4.5a
Finds the following unknown measurements, using properties of figures and relations: perimeter of plane figures
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8.252Perimeter with Unit Squares15
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8.253Area and Perimeter5
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8.254Perimeter Area and Volume Changes in Scale5
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8.GAM.1.4.5b
Finds the following unknown measurements, using properties of figures and relations: a segment in a plane figure, circumference, radius, diameter, length of an arc, a segment resulting from an isometry or a similarity transformation
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8.216Circles: Calculate Area, Radius, Circumference5
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8.217Circles5
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8.218Quarter Circles5
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8.GAM.1.4.6
Justifies statements concerning measures of length
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8.GAM.1.5.1
Chooses the appropriate unit of area for the context
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8.253Area and Perimeter5
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8.255Area with Unit Squares5
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8.GAM.1.5.2
Estimates and measures surface areas using conventional units: square centimetre, square decimetre, square metre
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8.256Surface Area5
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8.GAM.1.5.3
Establishes relationships between SI units of area
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8.GAM.1.5.4
Constructs relations that can be used to calculate the area of plane figures: quadrilateral, triangle, circle (sectors)
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8.GAM.1.5.5a
Finds unknown measurements, using properties of figures and relations: area of circles and sectors
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8.216Circles: Calculate Area, Radius, Circumference5
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8.217Circles5
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8.218Quarter Circles5
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8.GAM.1.5.5b
Finds unknown measurements, using properties of figures and relations: area of figures that can be split into circles (sectors), triangles or quadrilaterals
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8.219Area of Complex Figures10
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8.GAM.1.5.5c
Finds unknown measurements, using properties of figures and relations: lateral or total area of right prisms, right cylinders and right pyramids
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8.256Surface Area5
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8.257Volume and Surface Area of Spheres5
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8.GAM.1.5.5d
Finds unknown measurements, using properties of figures and relations: lateral or total area of solids that can be split into right prisms, right cylinders or right pyramids
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8.GAM.1.5.5e
Finds unknown measurements, using properties of figures and relations: area of figures resulting from an isometry
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8.GAM.1.5.5f
Finds unknown measurements, using properties of figures and relations: area of figures resulting from a similarity transformation
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8.GAM.1.5.6
Justifies statements concerning measures of area
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8.GAM.1.6.1
Chooses the appropriate unit of volume for the context
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8.GAM.1.6.2
Estimates and measures volume or capacity using conventional units: cubic centimetre, cubic decimetre, cubic metre, millilitre, litre
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8.GAM.1.6.3
Establishes relationships between capacity units: millilitre, litre
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8.247Convert Mixed Metric Units5
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8.GAM.1.7.1
Determines, through exploration or deduction, different metric relations associated with plane figures
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8.GAM.1.1.1
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Analytic Geometry
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8.AG.1.1.1
Locates objects/numbers on an axis, based on the types of numbers studied
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8.AG.1.1.2
Locates points in a Cartesian plane, based on the types of numbers studied (x and y-coordinates of a point)
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8.258Coordinate Graphs Review10
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8.259Relative Coordinates15
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8.AG.1.1.1
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Arithmetic: Understanding Operations involving real numbers
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8.AUOR.1.1.1
Chooses an appropriate way of writing numbers for a given context
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8.AUOR.1.1.2
Looks for equivalent expressions: decomposing (additive, multiplicative, etc.), equivalent fractions, simplifying and reducing, factoring, etc.
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8.5Reducing Fractions to Lowest Terms15
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8.6Reduce to Lowest Terms20
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8.43Prime and Composite Numbers10
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8.44Integer Addition and Subtraction Rules15
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8.45Add and Subtract Integers20
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8.46Integer Multiplication and Division Rules15
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8.47Multiply and Divide Integers15
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8.48Order of Operations5
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8.49Simplify Expressions Involving Integers20
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8.50Evaluate Expressions Involving Integers20
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8.51Reciprocals15
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8.52Multiplicative Inverses10
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8.53Add and Subtract Rational Numbers15
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8.54Multiply and Divide Rational Numbers15
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8.55Evaluate Variable Expressions with Decimals and Fractions5
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8.AUOR.1.1.3
Translates (mathematizes) a situation using a sequence of operations (no more than two levels of parentheses)
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8.AUOR.1.1.4
Anticipates the results of operations
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8.AUOR.1.1.5
Interprets the results of operations in light of the context
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8.AUOR.1.1.1
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Artithmetic: Operations involving real numbers
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8.AOR.1.1.1
Uses, in different contexts, the properties of divisibility: 2, 3, 4, 5 and 10
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8.62Divisibility Rules with Dividend Up to 10,000,00020
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8.63Divisibility Rules20
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8.64Divisibility Rules with Numbers Up to 10,00020
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8.65Greatest Common Factors (GCF)15
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8.66Least Common Multiples (LCM)20
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8.67GCF and LCM20
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8.43Prime and Composite Numbers10
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8.AOR.1.2.1
Approximates the result of an operation or sequence of operations
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8.AOR.1.3.1
Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operations
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8.5Reducing Fractions to Lowest Terms15
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8.6Reduce to Lowest Terms20
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8.44Integer Addition and Subtraction Rules15
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8.45Add and Subtract Integers20
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8.46Integer Multiplication and Division Rules15
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8.47Multiply and Divide Integers15
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8.48Order of Operations5
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8.49Simplify Expressions Involving Integers20
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8.50Evaluate Expressions Involving Integers20
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8.51Reciprocals15
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8.52Multiplicative Inverses10
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8.53Add and Subtract Rational Numbers15
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8.54Multiply and Divide Rational Numbers15
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8.55Evaluate Variable Expressions with Decimals and Fractions5
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8.AOR.1.4.1a
Computes, in writing, the four operations with numbers that are easy to work with (including large numbers), using equivalent ways of writing numbers and the properties of operations: numbers written in decimal notation, using rules of signs
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8.68Add and Subtract Decimal Numbers15
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8.69Mixed Equations with Decimals15
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8.70Multiply Decimals with Numbers Up to 10015
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8.71Multiply Decimals5
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8.72Divide Decimals15
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8.73Evaluate Expressions with Decimals15
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8.AOR.1.4.1b
Computes, in writing, the four operations with numbers that are easy to work with (including large numbers), using equivalent ways of writing numbers and the properties of operations: positive numbers written in fractional notation, with or without the use of objects or diagrams
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8.74Add and Subtract Fractions20
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8.75Add Fractions with Unlike Denominators20
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8.76Subtract Fractions with Unlike Denominators20
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8.77Add and Subtract Mixed Numbers15
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8.78Multiply Fractions by Whole Numbers15
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8.79Multiply Fractions with Models15
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8.80Multiply Fractions15
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8.81Divide Unit Fractions by Whole Numbers Up to 20 I15
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8.82Divide Fractions Up to 1/5, 1/7, 1/915
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8.83Divide by Fractions with Models15
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8.AOR.1.5.1
Computes, in writing, sequences of operations (numbers written in decimal notation) in accordance with the order of operations, using equivalent ways of writing numbers and the properties of operations (with no more than two levels of parentheses)
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8.AOR.1.6.1
Computes, using a calculator, operations and sequences of operations in accordance with the order of operations
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8.AOR.1.7.1
Switches, as needed, from one way of writing numbers to another
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8.84Convert Between Standard and Scientific Notation10
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8.30Understanding Exponents10
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8.41Inequalities with Scientific Notation15
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8.42Compare Numbers Written in Scientific Notation15
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8.17Convert Between Decimals and Fractions or Mixed Numbers10
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8.18Convert Between Percents, Fractions and Decimals15
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8.AOR.1.8.1
Calculates the power of a natural number
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8.30Understanding Exponents10
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8.31Evaluate Exponents15
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8.32Exponents: Solve for the Variable15
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8.33Exponents with Negative Bases10
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8.34Exponents with Decimal and Fractional Bases15
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8.35Multiplication with Exponents10
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8.36Division with Exponents10
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8.37Multiplication and Division with Exponents10
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8.38Power Rule5
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8.39Simplify Expressions Involving Exponents5
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8.AOR.1.9.1
Decomposes a natural number into prime factors
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8.65Greatest Common Factors (GCF)15
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8.66Least Common Multiples (LCM)20
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8.67GCF and LCM20
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8.43Prime and Composite Numbers10
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8.AOR.1.1.1
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Algebra: Relationships
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8.AR.1.1.1
Identifies patterns in various situations and in various forms
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8.153Find the Proportional Relationship15
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8.154Write a Rule for a Function Table10
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8.AR.1.1.2
Analyzes situations using different registers (types) of representation
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8.155Find Points on a Function Graph5
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8.AR.1.1.3
Represents a situation generally using a graph
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8.118Complete a Function Table10
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8.156Graph a Line from an Equation10
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8.157Graph a Line from an Equation Using Algebra10
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8.AR.1.1.1
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Geometry: Spacial sense and analyzing situations involving geometric figures
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8.GSS.1.1.1
Describes convex and nonconvex polygons
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8.212Regular and Irregular Polygons5
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8.213Interior Angles of Polygons5
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8.GSS.1.1.10
Justifies statements using definitions or properties of plane figures
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8.GSS.1.1.2
Describes and classifies quadrilaterals
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8.214Classify Quadrilateral Shapes5
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8.GSS.1.1.3
Describes and classifies triangles
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8.215Types of Triangles5
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8.GSS.1.1.4
Describes circles: radius, diameter, circumference, central angle
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8.216Circles: Calculate Area, Radius, Circumference5
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8.217Circles5
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8.218Quarter Circles5
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8.GSS.1.1.5
Recognizes and names regular convex polygons
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8.212Regular and Irregular Polygons5
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8.GSS.1.1.6
Decomposes plane figures into circles (sectors), triangles or quadrilaterals
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8.219Area of Complex Figures10
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8.GSS.1.1.7
Describes circles and sectors
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8.220Parts of a Circle5
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8.GSS.1.1.8
Recognizes and draws main segments and lines: diagonal, altitude, median, perpendicular bisector, bisector, apothem, radius, diameter, chord
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8.GSS.1.1.9
Identifies the properties of plane figures using geometric transformations and constructions
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8.222Identify Reflections, Rotations and Translations5
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8.223Translations: Graph the Image5
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8.224Translations Find the Coordinates10
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8.225Reflections: Graph the Image5
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8.226Reflections Find the Coordinates10
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8.227Rotations: Graph the Image10
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8.228Rotations Find the Coordinates10
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8.229Dilations Graph the Image5
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8.230Dilations: Find the Coordinates5
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8.231Similar Figures: Side Lengths and Angle Measures5
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8.232Similar Figures Side Lengths and Angle Measures5
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8.GSS.1.2.1
Matches the net of a convex polyhedron to the corresponding convex polyhedron
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8.220Parts of a Circle5
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8.234Nets of 3-Dimensional Figures5
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8.GSS.1.2.2
Determines the possible nets of a solid
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8.234Nets of 3-Dimensional Figures5
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8.GSS.1.2.3
Names the solid corresponding to a net
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8.234Nets of 3-Dimensional Figures5
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8.GSS.1.2.4a
Describes solids: vertex, edge, base, face
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8.GSS.1.2.4b
Describes solids: altitude, apothem, lateral face
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8.GSS.1.2.5
Tests Euler's relation on convex polyhedrons
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8.GSS.1.2.6
Recognizes solids that can be split into right prisms, right cylinders, right pyramids
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8.GSS.1.3.1
Identifies properties and invariants resulting from geometric constructions and transformations
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8.224Translations Find the Coordinates10
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8.226Reflections Find the Coordinates10
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8.228Rotations Find the Coordinates10
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8.230Dilations: Find the Coordinates5
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8.GSS.1.3.2
Identifies congruence (translation, rotation and reflection) between two figures
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8.GSS.1.3.3
Constructs the image of a figure under a translation, rotation and reflection
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8.223Translations: Graph the Image5
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8.225Reflections: Graph the Image5
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8.227Rotations: Graph the Image10
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8.229Dilations Graph the Image5
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8.GSS.1.3.4
Recognizes dilatation with a positive scale factor
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8.229Dilations Graph the Image5
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8.230Dilations: Find the Coordinates5
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8.GSS.1.3.5
Constructs the image of a figure under a dilatation with a positive scale factor
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8.229Dilations Graph the Image5
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8.GSS.1.4.1
Identifies congruent figures in frieze patterns and tessellations
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8.GSS.1.4.2
Recognizes congruent or similar figures
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8.236Similar and Congruent Figures5
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8.GSS.1.4.3
Recognizes the geometric transformation(s) linking a figure and its image
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8.GSS.1.4.4
Determines the properties and invariants of congruent or similar figures
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8.GSS.1.4.5
Justifies statements using definitions or properties of congruent, similar or equivalent figures, depending on the cycle and year
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8.GSS.1.1.1
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Algebra: Expressions
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8.AE.1.1.1
Describes, using his/her own words and mathematical language, numerical patterns
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8.115Geometric Growth Patterns15
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8.116Increasing Growth Patterns15
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8.117Numeric Patterns15
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8.118Complete a Function Table10
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8.AE.1.1.2
Describes, using his/her own words and mathematical language, series of numbers and family of operations
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8.115Geometric Growth Patterns15
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8.116Increasing Growth Patterns15
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8.119Write Variable Expressions5
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8.121Write Variable Equations to Represent5
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8.122Write Variable Expressions5
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8.123Linear Function10
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8.AE.1.1.3
Adds new terms to a series when the first three terms or more are given
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8.AE.1.1.4a
Describes the role of components of algebraic expressions:unknown
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8.AE.1.1.4b
Describes the role of components of algebraic expressions:variable, constant
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8.AE.1.1.4c
Describes the role of components of algebraic expressions: parameter
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8.AE.1.1.4d
Describes the role of components of algebraic expressions: coefficient, degree, term, constant term, like terms
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8.124Identify Terms, Coefficients, and Monomials5
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8.125Add and Subtract Like Terms10
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8.AE.1.1.5
Constructs an algebraic expression using a register (type) of representation
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8.119Write Variable Expressions5
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8.121Write Variable Equations to Represent5
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8.122Write Variable Expressions5
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8.123Linear Function10
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8.AE.1.1.6
Interprets an algebraic expression in light of the context
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8.AE.1.1.7
Recognizes or constructs equivalent algebraic expressions
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8.125Add and Subtract Like Terms10
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8.126Simplify Variable Expressions10
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8.127Distributive Property5
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8.128Simplify Variable Expressions Using Properties10
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8.129Properties of Addition and Multiplication15
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8.39Simplify Expressions Involving Exponents5
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8.AE.1.1.8
Recognizes or constructs equalities and equations
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8.AE.1.2.1
Calculates the numeric value of an algebraic expression
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8.118Complete a Function Table10
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8.131Solve Two-Step Linear Equations5
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8.132Solve One-Step Linear Equations5
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8.133Evaluate Multi-Variable Expressions15
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8.134Evaluate Variable Expressions with Squares and Square Roots10
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8.135Solve Two-Step Linear Equations5
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8.136Evaluate Exponents10
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8.137Solve Multi Step Equations5
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8.138Solve One-Step Linear Equations5
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8.139Exponents: Solve for the Variable10
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8.31Evaluate Exponents15
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8.39Simplify Expressions Involving Exponents5
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8.AE.1.2.2
Performs the following operations on algebraic expressions, with or without objects or diagrams: addition and subtraction, multiplication and division by a constant, multiplication of first-degree monomials
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8.125Add and Subtract Like Terms10
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8.128Simplify Variable Expressions Using Properties10
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8.140Divide Monomials5
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8.141Multiply and Divide Monomials10
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8.142Powers of Monomials10
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8.143Model and Solve Equations Using Algebra Tiles5
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8.AE.1.2.3
Factors out the common factor in numerical expressions (distributive property of multiplication over addition or subtraction)
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8.126Simplify Variable Expressions10
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8.127Distributive Property5
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8.128Simplify Variable Expressions Using Properties10
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8.AE.1.3.1
Recognizes whether a situation can be translated by an equation
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8.105Find the Proportional Relationship15
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8.AE.1.3.10
Interprets solutions or makes decisions, if necessary, depending on the context
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8.147Multi-Step15
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8.148Guess and Check10
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8.149Use Venn Diagrams to Solve Problems5
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8.150Change in Time Review20
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8.151Find the Change in Time20
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8.152Elapsed Time10
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8.111Linear Function with Intercepts10
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8.112Algebra: Linear Function10
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8.114Algebra: Linear Function with Intercepts10
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8.AE.1.3.2
Recognizes or constructs relations or formulas
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8.112Algebra: Linear Function10
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8.114Algebra: Linear Function with Intercepts10
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8.AE.1.3.3
Manipulates relations or formulas (e.g. isolates an element)
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8.AE.1.3.4
Represents a situation using a first-degree equation with one unknown
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8.105Find the Proportional Relationship15
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8.AE.1.3.5
Represents an equation using another register (type) of representation, if necessary
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8.AE.1.3.6
Determines the missing term in an equation (relations between operations): a + b = __, a + __ = c, __ + b = c, a - b = __, a - __ = c, __ - b = c
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8.AE.1.3.7
Transforms arithmetic equalities and equations to maintain equivalence (properties and rules for transforming equalities) and justifies the steps followed, if necessary
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8.133Evaluate Multi-Variable Expressions15
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8.AE.1.3.8
Uses different methods to solve first-degree equations with one unknown of the form ax + b = cx + d: trial and error, drawings, arithmetic methods (inverse or equivalent operations), algebraic methods (balancing equations or hidden terms)
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8.133Evaluate Multi-Variable Expressions15
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8.134Evaluate Variable Expressions with Squares and Square Roots10
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8.135Solve Two-Step Linear Equations5
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8.138Solve One-Step Linear Equations5
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8.144Solve Equations Involving Squares and Square Roots10
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8.145Evaluate Variable Expressions with Whole Numbers5
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8.146Solve Equations Involving Like Terms10
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8.AE.1.3.9
Validates a solution, with or without technological tools, by substitution
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8.AE.1.1.1
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Probability
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8.PR.1.1.1
Simulates random experiments with or without the use of technological tools
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8.PR.1.1.10
Recognizes certain, probable, impossible, simple, complementary, compatible, incompatible, dependent, independents events
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8.PR.1.1.11
Uses fractions, decimals or percentages to quantify a probability
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8.163Probability of Simple Events5
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8.164Probability of Opposite and Overlapping Events5
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8.165Probability Problems5
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8.166Experimental Probability15
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8.167Probability of Independent and Dependent Events5
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8.PR.1.1.12
Recognizes that a probability is always between 0 and 1
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8.PR.1.1.13a
Predicts qualitatively an outcome or several events using a probability line, among other things: certain, possible or impossible outcome
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8.159Making Predictions5
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8.160Prediction Problems5
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8.PR.1.1.13b
Predicts qualitatively an outcome or several events using a probability line, among other things: more likely, just as likely, less likely event
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8.159Making Predictions5
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8.160Prediction Problems5
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8.PR.1.1.2
Experiments with activities involving chance, using various objects (e.g. spinners, rectangular prisms, glasses, marbles, thumb tacks, 6-, 8- or 12-sided dice)
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8.PR.1.1.3a
In activities involving chance, recognizes variability in possible outcomes (uncertainty)
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8.PR.1.1.3b
In activities involving chance, recognizes equiprobability (e.g. quantity of objects, symmetry of an object such as a cube)
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8.PR.1.1.3c
In activities involving chance, becomes aware of the independence of events (e.g. rolling dice, tossing a coin, drawing lots)
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8.PR.1.1.4
Uses tables or diagrams to collect and display the outcomes of an experiment
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8.PR.1.1.5
Compares the outcomes of a random experiment with known theoretical probabilities
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8.159Making Predictions5
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8.160Prediction Problems5
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8.PR.1.1.6
Distinguishes between prediction and outcome
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8.159Making Predictions5
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8.160Prediction Problems5
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8.PR.1.1.7
Conducts or simulates random experiments involving one or more steps (with or without replacement, with or without order)
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8.PR.1.1.8a
Enumerates the possible outcomes of a random experiment using tables, tree diagram
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8.PR.1.1.8b
Enumerates the possible outcomes of a random experiment using networks, tables, diagrams, Venn diagrams
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8.PR.1.1.9
Defines the sample space of a random experiment
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8.161Compound Events: Find the Number of Outcomes5
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8.162Counting Principle15
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8.PR.1.2.1
Represents an event using different registers (types of representation)
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8.PR.1.2.2
Compares qualitatively the theoretical or experimental probability of an event occurring
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8.PR.1.2.3
Distinguishes between theoretical and experimental probability
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8.165Probability Problems5
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8.166Experimental Probability15
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8.PR.1.2.4
Calculates the probability of an event
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8.163Probability of Simple Events5
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8.164Probability of Opposite and Overlapping Events5
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8.165Probability Problems5
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8.166Experimental Probability15
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8.167Probability of Independent and Dependent Events5
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8.PR.1.2.5
Interprets probabilities and makes appropriate decisions
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8.159Making Predictions5
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8.160Prediction Problems5
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8.PR.1.1.1
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Statistics
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8.ST.1.1.10
Calculates and interprets an arithmetic mean
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8.192Interpret Charts to Find Mean, Median, Mode, and Range5
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8.193Interpret Charts to Find Median5
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8.194Interpret Charts to Find Mode5
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8.195Interpret Charts to Find Mean5
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8.196Interpret Charts to Find Range5
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8.197Changes in Mean5
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8.198Changes in Median5
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8.199Changes in Mean, Median, Mode, and Range5
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8.200Changes in Mode5
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8.201Changes in Range5
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8.202Calculate Mode10
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8.203Calculate Mean, Median, Mode and Range10
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8.204Calculate Range10
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8.205Calculate Median10
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8.206Calculate Mean10
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8.207Mean, Median, Mode, and Range: Find the Missing Number10
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8.208Mode: Find the Missing Number10
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8.209Median: Find the Missing Number10
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8.210Mean: Find the Missing Number10
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8.211Range: Find the Missing Number10
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8.ST.1.1.11a
Determines and interprets measures of dispersion: range
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8.ST.1.1.11b
Determines and interprets measures of position: maximum, minimum
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8.ST.1.1.12
Chooses the appropriate statistical measures for a given situation
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8.ST.1.1.1a
Conducts a survey or a census: Formulates questions for a survey
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8.ST.1.1.1b
Conducts a survey or a census: Chooses a sampling method: simple random, systematic
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8.ST.1.1.1c
Conducts a survey or a census: Chooses a representative sample
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8.ST.1.1.1d
Conducts a survey or a census: Collects, describes and organizes data (classifies or categorizes) using tables
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8.168Create Frequency Charts5
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8.ST.1.1.2
Recognizes possible sources of bias
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8.169Identify Biased Samples5
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8.170Identify Representative Samples5
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8.171Identify Representative, Random, and Biased Samples5
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8.172Identify Random Samples5
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8.ST.1.1.3
Interprets data presented in a table or a bar graph, a pictograph, a broken-line graph or a circle graph
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8.93Rate of Change10
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8.173Interpret Bar Graphs5
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8.174Convert Graphs to Input/Output Tables5
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8.175Interpret Line Graphs5
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8.176Interpret Line Plots with Up to 5 Data Points5
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8.177Interpret Line Plots5
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8.178Interpret Line Plots with Numbers Up to 405
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8.179Interpret Stem and Leaf Plots10
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8.180Interpret Histograms5
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8.181Interpret Box-And-Whisker Plots5
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8.182Interpret Circle Graphs5
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8.ST.1.1.4
Distinguishes different types of statistical variables: qualitative, discrete or continuous quantitative
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8.ST.1.1.5
Chooses appropriate register(s) (types) of representation to organize, interpret and present data
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8.183Choose the Best Graph Type5
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8.ST.1.1.6a
Organizes and presents data using a table, a bar graph, a pictograph and a broken-line graph
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8.184Create Bar Graphs Using Tables5
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8.185Create Bar Graphs5
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8.186Create Line Graphs5
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8.187Create Line Plots5
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8.188Create Line Plots II5
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8.189Create Histograms5
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8.ST.1.1.6b
Organizes and presents data using a table presenting variables or frequencies, or using a circular graph
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8.168Create Frequency Charts5
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8.182Interpret Circle Graphs5
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8.190Circle Graphs and Central Angles5
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8.191Circle Graphs with Fractions5
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8.ST.1.1.7
Compares one-variable distributions
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8.192Interpret Charts to Find Mean, Median, Mode, and Range5
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8.193Interpret Charts to Find Median5
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8.194Interpret Charts to Find Mode5
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8.195Interpret Charts to Find Mean5
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8.196Interpret Charts to Find Range5
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8.197Changes in Mean5
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8.198Changes in Median5
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8.199Changes in Mean, Median, Mode, and Range5
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8.200Changes in Mode5
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8.201Changes in Range5
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8.ST.1.1.8
Understands and calculates the arithmetic mean
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8.202Calculate Mode10
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8.203Calculate Mean, Median, Mode and Range10
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8.204Calculate Range10
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8.205Calculate Median10
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8.206Calculate Mean10
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8.ST.1.1.9
Describes the concept of arithmetic mean (leveling or balance point)
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8.192Interpret Charts to Find Mean, Median, Mode, and Range5
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8.193Interpret Charts to Find Median5
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8.194Interpret Charts to Find Mode5
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8.195Interpret Charts to Find Mean5
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8.196Interpret Charts to Find Range5
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8.207Mean, Median, Mode, and Range: Find the Missing Number10
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8.208Mode: Find the Missing Number10
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8.209Median: Find the Missing Number10
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8.210Mean: Find the Missing Number10
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8.211Range: Find the Missing Number10
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8.ST.1.1.10
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Arithmetic: Understanding Real Numbers
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8.AUN.1.1.1a
Identifies the different meanings of fractions: part of a whole, division, ratio, operator, measurement
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8.1Understanding Fractions10
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8.2Describe Pictures as Ratios5
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8.AUN.1.1.1b
Verifies whether two fractions are equivalent
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8.3Choose the Equivalent Fraction Up to Twentieths20
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8.4Choose the Equivalent Fraction15
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8.5Reducing Fractions to Lowest Terms15
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8.6Reduce to Lowest Terms20
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8.7Equivalent Ratios5
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8.8Equivalent Ratios15
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8.9Equivalent Ratios5
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8.AUN.1.1.1c
Compares a fraction to 0, 1/2 or 1
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8.AUN.1.1.1d
Orders fractions with the same denominator or where one denominator is a multiple of the other or with the same numerator
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8.10Compare Fractions15
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8.11Compare Mixed Numbers and Improper Fractions15
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8.12Compare Rational Numbers20
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8.13Put Rational Numbers in Order15
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8.14Compare Ratios5
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8.AUN.1.10.1.b
Compares and arranges in order numbers expressed in different ways (fractional, decimal, exponential [integral exponent], percentage, square root, scientific notation)
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8.AUN.1.10.1a
Compares and arranges in order numbers written in fractional or decimal notation
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8.10Compare Fractions15
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8.19Put Decimal Numbers in Order with Numbers Up to 520
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8.AUN.1.2.1a
Represents decimals up to thousandths in a variety of ways (using objects or drawings) and identifies equivalent representations
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8.AUN.1.2.1b
Reads and writes numbers up to thousandths written in decimal notation
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8.AUN.1.2.1c
Composes and decomposes a number written in decimal notation up to thousandths and recognizes equivalent expressions
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8.AUN.1.2.1d
Compares numbers written in decimal notation up to thousandths or arranges them in increasing or decreasing order
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8.AUN.1.3.1a
Represents integers in a variety of ways (using objects or drawings)
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8.AUN.1.3.1b
Reads and writes integers
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8.AUN.1.3.1c
Compares integers or arranges integers in increasing or decreasing order
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8.AUN.1.4.1
Expresses numbers in a variety of ways (fractional, decimal percentage notation)
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8.AUN.1.5.1
Represents, reads and writes numbers written in fractional or decimal notation
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8.AUN.1.6.1
Approximates, in various contexts, the numbers under study (e.g. estimates, rounds off, truncates)
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8.23Round Decimals15
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8.AUN.1.7.1
Defines the concept absolute value in context (e.g. difference between two numbers, distance between two points)
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8.AUN.1.8.1a
Represents and writes squares and square roots
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8.AUN.1.8.1b
Represents and writes numbers in exponential notation (integral exponent)
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8.30Understanding Exponents10
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8.31Evaluate Exponents15
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8.32Exponents: Solve for the Variable15
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8.33Exponents with Negative Bases10
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8.34Exponents with Decimal and Fractional Bases15
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8.35Multiplication with Exponents10
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8.36Division with Exponents10
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8.37Multiplication and Division with Exponents10
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8.38Power Rule5
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8.39Simplify Expressions Involving Exponents5
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8.AUN.1.9.1
Estimates the order of magnitude of a real number in
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8.AUN.1.1.1a
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Arithmetic: Understanding and analyzing proportional situations
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8.AUP.1.1.1a
Calculates a certain percentage of a number
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8.85Percents of Numbers and Money Amounts5
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8.86Constant of Variation15
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8.87Estimate Percents of Numbers15
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8.88Percents of Numbers5
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8.89Percent Equations15
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-
8.AUP.1.1.1b
Calculates the value corresponding to 100 per cent
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8.AUP.1.2.1
Recognizes ratios and rates
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8.90Unit Rates15
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8.91Consumer Math: Unit Prices20
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8.92Unit Prices: Find the Total15
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8.93Rate of Change10
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8.2Describe Pictures as Ratios5
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8.AUP.1.3.1
Interprets ratios and rates
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8.90Unit Rates15
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8.91Consumer Math: Unit Prices20
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8.92Unit Prices: Find the Total15
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8.93Rate of Change10
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8.2Describe Pictures as Ratios5
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-
8.AUP.1.4.1
Describes the effect of changing a term in a ratio or rate
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-
8.86Constant of Variation15
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8.93Rate of Change10
-
8.94Percent Change15
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-
8.AUP.1.5.1a
Compares ratios and rates qualitatively (equivalent rates and ratios, unit rate)
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-
8.90Unit Rates15
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8.7Equivalent Ratios5
-
8.9Equivalent Ratios5
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-
8.AUP.1.5.1b
Compares ratios and rates quantitatively (equivalent rates and ratios, unit rate)
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-
8.90Unit Rates15
-
8.7Equivalent Ratios5
-
8.8Equivalent Ratios15
-
8.9Equivalent Ratios5
-
8.14Compare Ratios5
-
-
8.AUP.1.6.1
Translates a situation using a ratio or rate
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-
8.90Unit Rates15
-
8.91Consumer Math: Unit Prices20
-
8.92Unit Prices: Find the Total15
-
8.93Rate of Change10
-
8.8Equivalent Ratios15
-
8.14Compare Ratios5
-
8.95Price Lists20
-
8.96Consumer Math: Price Lists15
-
8.97Percent of a Number: Tax, Discount, Tip20
-
8.98Find the Percent: Tax, Discount15
-
8.99Sale Prices: Find the Original Price15
-
8.100Constant Rate of Change5
-
8.101Find the Constant of Variation Graphs5
-
-
8.AUP.1.7.1
Recognizes a proportional situation using the context, a table of values or a graph
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-
8.102Ratios and Proportions15
-
8.103Ratios and Proportions15
-
8.104Identify Proportional Relationships5
-
-
8.AUP.1.8.1
Represents or interprets a proportional situation using a graph, a table of values or a proportion
-
-
8.104Identify Proportional Relationships5
-
8.105Find the Proportional Relationship15
-
8.106Graph a Proportional Relationship5
-
-
8.AUP.1.9.1
Solves proportional situations (direct or inverse variation) by using different strategies (e.g. unit-rate method, factor of change, proportionality ratio, additive procedure, constant product [inverse variation])
-
-
8.86Constant of Variation15
-
8.104Identify Proportional Relationships5
-
8.106Graph a Proportional Relationship5
-
8.107Find the Constant of Variation15
-
8.108Solving Proportions15
-
8.109Solving Proportions15
-
8.110Estimate Using Proportions15
-
8.111Linear Function with Intercepts10
-
8.112Algebra: Linear Function10
-
8.113Proportional Relationships15
-
8.114Algebra: Linear Function with Intercepts10
-
-
8.AUP.1.1.1a