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Math

Algebra

Algebraic Expressions

Equation Of A Straight Line

Connecting Proportional Relationships And The Equation Of A Straight Line

Comparing Proportional Relationships Represented Graphically

Graphing And/or Comparing Proportional Relationships

Graphing Proportional Relationships

Slope Intercept Form

Understanding And Using Slopes

Solving Problems Involving Slopes (including Interpreting Unit Rates)

Using Similar Triangles To Understand Why The Slope Of A Straight Line Remains Constant

Writing Equation Of Straight Line

Writing The Equation Of A Straight Line

Deriving And Using The Equation Y = Mx + B For A Line With Y-intercept B

Deriving And Using The Equation Y = Mx + B Or Y = Mx

Deriving And Using The Equation Y = Mx For A Line Passing Through Origin

Writing An Equation Of A Straight Line Using A Slope And A General Point

Writing An Equation Of A Straight Line Using Two Points

Writing An Equation Of A Straight Line When The Line Is Represented Graphically

Equations

Equations And Inequalities

One-variable Equations

Representing Real-world Situations

Solving One-step Equations

Understanding Solution Methods

One-variable Inequalities

Representing Real-world Constraints

Solving Simple Inequalities

Writing And Graphing Inequalities

Exponents

Integer Exponents

Simplifying Exponents

Inequalities

Linear Inequalities

One-variable Linear Inequalities

Representing Solutions Of Linear Inequalities In One Variable On A Number Line

Representing Solutions Of Absolute Value Inequalities On Number Lines

Solving/interpreting Linear Inequalities In One Variable

Solving And/or Interpreting Absolute Value Inequalities

Two-variable Linear Inequalities

Framing/writing Linear Inequalities In Two Variables

Framing Linear Inequalities In Two Variables

Graphing Linear Inequalities

Representing Solutions Of Linear Inequalities In Two Variables On A Graph

Graphing The Solution Set To A System Of Linear Inequalities In Two Variables As The Intersection Of The Half-planes

Representing Solutions Of Inequalities Of The Form Px + Qy ≤ R Or Px + Qy < R On Graphs

Representing Solutions Of Inequalities On Graphs

Representing Solutions Of Linear Inequalities In Two Variables On Graphs

Solutions In Equation Modeling

Solving/interpreting Linear Inequalities In Two Variables

Solving Real-world Problems Involving Multi-step Linear Inequalities In Two Variables

Non-linear Inequalities

One-variable Non-linear Inequalities

Solving Multi-step Problems Using Non-linear Inequalities In One Variable

Solving Quadratic Inequalities In One Variable (algebraically Or Graphically)

Solving Multi-step Problems Using Non-linear Inequalities In One Variable

Solving Quadratic Inequalities In One Variable (algebraically Or Graphically)

Linear Equations (one Variable)

Applications Of Equations

Solving Multi-step Problems Using Linear Equations In One Variable

Generating And Understanding Linear Equations In One Variable With Infinitely Many Solutions

Generating And Understanding Linear Equations In One Variable With No Solution

Solving Linear Equations In One Variable With Variables On Both Sides Of The Equation

Solving Problems Involving Multi-step Linear Equations In One Variable

Solving Problems With Equations Of The Form P(x + Q) = R, Where P, Q And R Are Rational Numbers

Understanding Linear Equations In One Variable

Framing Linear Equations In One Variable (for Mathematical And Real-life Problems)

Multi-step Equations

Identify Equations With Infinite/no Solution

Solving Multi-step Equations

Two Step Equations

Functions

Advanced Functions

Advanced Function Analysis

Applying And Analysing Functions

Graphing Functions

Functions With Special Properties

Graphing Symbolic Functions & Key Features

Graphing Polynomial Functions & Identifying Zeros

Graphing Rational Functions With Zeros & Asymptotes

Graphing Root, Piecewise, Step & Absolute Value Functions

Understanding Sequences As Recursive Functions

Sequence Functions

Functions (sequence/series)

Arithmetic & Geometric Sequences: Recursive & Explicit

Equation Of A Line

Graphing The Equation Of A Straight Line

Graphing A Horizontal Line And/or Vertical Line

Graphing An Equation Of A Straight Line Represented In Different Forms

Identifying Axes Intercepts When A Line Is Represented Graphically

Writing The Equation Of A Straight Line

Writing An Equation Of A Straight Line Using A Slope And A General Point

Writing An Equation Of A Straight Line Using Two Points

Writing An Equation Of A Straight Line When The Line Is Represented Graphically

Exponential And Logarithmic Functions

Applications

Applying And Analysing Exponential And Logarithmic Functions

Applying The Laws Of Exponents To Interpret Expressions For Exponential Functions

Expressing The Solution Of Exponential Models (ab^(ct) = D) Where The Base Is B As Logarithms Using Technology

Observing That A Quantity Increasing As An Exponential Function Eventually Exceeds A Quantity Increasing As A Polynomial Function

Solving Real-world Problems Involving Exponential And/or Logarithmic Functions (including Modelling)

Understanding And Using The Inverse Relationship Between Exponential And Logarithmic Functions To Solve Problems

Comparing Function Types

Comparing Exponential & Polynomial Growth

Identifying Linear Vs Exponential Models

Identifying Constant Percent Growth/decay

Proving Growth Patterns In Linear & Exponential Functions

Recognizing Constant Rate Of Change

Exponential Functions

Graphing Exponential And Logarithmic Functions

Graphing Exponential Functions (including Growth/decay), Showing Intercepts And End Behavior

Performing Multiple Transformations On Different Exponential/logarithmic Functions (including Writing The Final Function)

Rewriting Exponential Functions To Reveal Properties

Interpreting Exponential Functions

Understanding Exponential And Logarithmic Functions

Identifying And Evaluating Exponential Functions

Proving That Exponential Functions Grow Or Decay By Equal Factors Over Equal Intervals

Recognising Situations And Solving Problems In Which A Quantity Grows Or Decays By A Constant Percent Rate

Writing And Interpreting Exponential Functions

Constructing An Exponential Function (including Geometric Sequences) From A Description

Constructing An Exponential Function (including Geometric Sequences) From A Graph

Constructing An Exponential Function (including Geometric Sequences) From A Set Of Input-output Pairs

Interpreting The Parameters In An Exponential Function In Terms Of A Context

Function Relationships

Constructing Linear & Exponential Functions

Interpreting Parameters In Linear/exponential Functions

Understanding Inverse Of Exponents & Logarithms

Logarithmic Functions

Evaluating Logarithms In Exponential Models

Graphing Symbolic Functions

Graphing Exponential, Logarithmic & Trigonometric Functions

Graphing Logarithmic Functions, Showing Intercepts And End Behavior

Understanding Exponential And Logarithmic Functions

Applying The Laws Of Logarithms To Simplify/evaluate Expressions

Function Concepts

Functions (general)

Analyzing Functions

Analyzing & Sketching Graphs Of Functions

Comparing Properties Of Functions

Comparing Properties Of Two Functions That Are Represented Either Algebraically, Graphically, In Tables And/or Using Verbal Statements

Identifying Whether A Given Relation Is A Function

Writing And Interpreting Functions

Calculating/estimating And Interpreting The Average Rate Of Change (including Using The Initial Value Of The Function)

Understanding Functions

Graphing Functions

Graphing A Function Using Ordered Pairs (including Relating A Domain Of A Function To Its Graph)

Understanding Functions & Their Graphs

Understanding Functions

Classifying Equations/functions As Showing Direct Variation, Inverse Variation Or Neither

Understanding That A Function Is A Mapping From One Set Of Inputs (called The Domain) To Another Set Of Outputs (called The Range)

Functions (linear)

Linear Function Concepts

Interpreting Linear & Non-linear Functions

Modeling & Interpreting Linear Functions

Understanding Linear Functions

Distinguishing Between Linear And Non-linear Functions

Working With Linear Functions

Writing And Interpreting Linear Functions

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Description/equation

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Graph

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Set Of Input-output Pairs

Linear Functions

Graphing Linear Functions

Graphing Linear Functions And Showing Intercepts

Transformations On Absolute Value Linear Functions

Transformations On Linear Functions

Understanding Linear Functions

Recognising Situations In Which One Quantity Changes At A Constant Rate With Respect To Another Quantity

Writing And Interpreting Linear Functions

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Description/equation

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Graph

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Set Of Input-output Pairs

Interpreting The Parameters Of A Linear Function In Terms Of A Context

Quadratic Functions

Applying And Analysing Quadratic Functions

Solving Real-world Problems Involving Quadratic Functions

Using The Process Of Factorisation/completing Square To Find/show Zeroes, Extreme Values And Symmetry On Graphs Of Quadratic Functions

Graphing Symbolic Quadratic Functions

Graphing Linear & Quadratic Functions

Graphing Quadratic Functions

Graphing Quadratic Functions (including Showing Intercepts, Maxima Or Minima)

Transformations On Quadratic Functions

Rewriting Quadratic Functions To Reveal Properties

Interpreting Quadratic Graphs Via Factoring

Understanding Quadratic Functions

Identifying Characteristics Of Quadratic Functions

Writing And Interpreting Quadratic Functions

Writing A Quadratic Function Under Specific Conditions

Specific Functions

Advanced Functions

Graphing Complex Functions

Graphing Symbolic Functions & Key Features

Graphing Polynomial Functions & Identifying Zeros

Graphing Rational Functions With Zeros & Asymptotes

Graphing Root, Piecewise, Step & Absolute Value Functions

Graphing Functions

Graphing Various Function Types

Identifying Effects Of Transformations On Graphs

Identifying Function Families

Identifying/finding Turning Points

Recursive Functions

Functions (sequence/series)

Arithmetic & Geometric Sequences: Recursive & Explicit

Understanding Sequences As Recursive Functions

Exponential And Logarithmic Functions

Applications Of Exponential And Logarithmic Functions

Applying And Analysing Exponential And Logarithmic Functions

Applying The Laws Of Exponents To Interpret Expressions For Exponential Functions

Comparing Exponential And Polynomial Growth Rates

Expressing Solutions Of Exponential Models Using Logarithms

Solving Real-world Problems With Exponential/logarithmic Functions

Using The Inverse Relationship Between Exponential And Logarithmic Functions

Understanding Exponential And Logarithmic Functions

Applying The Laws Of Logarithms

Identifying And Evaluating Exponential Functions

Proving Properties Of Exponential Growth/decay

Recognising Situations Involving Constant Percent Rates

Writing And Interpreting Exponential Functions

Constructing Exponential Functions From Various Representations

Interpreting Parameters In Exponential Contexts

Exponential Models

Comparing Exponential & Polynomial Growth

Constructing Linear & Exponential Functions

Identifying Linear Vs Exponential Models

Identifying Constant Percent Growth/decay

Proving Growth Patterns In Linear & Exponential Functions

Recognizing Constant Rate Of Change

Interpreting Parameters In Linear/exponential Functions

Rewriting Exponential Functions To Reveal Properties

Interpreting Exponential Functions

Logarithmic Functions

Evaluating Logarithms In Exponential Models

Graphing Exponential And Logarithmic Functions

Graphing Exponential Functions (including Growth/decay)

Graphing Logarithmic Functions

Performing Multiple Transformations On Functions

Understanding Inverse Of Exponents & Logarithms

Linear Functions

Graphing Linear Functions

Graphing Linear Functions And Showing Intercepts

Transformations On Absolute Value Linear Functions

Transformations On Linear Functions

Understanding Linear Functions

Recognising Situations In Which One Quantity Changes At A Constant Rate With Respect To Another Quantity

Writing And Interpreting Linear Functions

Identifying/constructing A Linear Function From Different Representations

Interpreting The Parameters Of A Linear Function In Terms Of A Context

Quadratic Functions

Expressions In Equivalent Forms

Quadratic Equations

Factoring Quadratics

Max/min Of Quadratic Functions

Transforming Exponential Functions

Graphing And Analyzing Quadratics

Graphing Symbolic Quadratic Functions

Graphing Linear & Quadratic Functions

Graphing Quadratic Functions

Graphing Quadratic Functions (including Showing Intercepts, Maxima Or Minima)

Transformations On Quadratic Functions

Rewriting Quadratic Functions To Reveal Properties

Interpreting Quadratic Graphs Via Factoring

Working With Quadratic Functions

Applying And Analysing Quadratic Functions

Solving Real-world Problems Involving Quadratic Functions

Using The Process Of Factorisation/completing Square To Find/show Zeroes, Extreme Values And Symmetry On Graphs Of Quadratic Functions

Understanding Quadratic Functions

Identifying Characteristics Of Quadratic Functions

Writing And Interpreting Quadratic Functions

Writing A Quadratic Function Under Specific Conditions

Trigonometric Functions

Applications Of Trigonometric Functions

Applying And Analysing Trigonometric Functions

Applying The Unit Circle To Explain Symmetry And Periodicity

Applying Trigonometric Identities And Formulas

Evaluating And Interpreting Trigonometric Equation Solutions

Solving Real-world Problems With Trigonometric Functions

Using Inverse Functions To Solve Trigonometric Equations

Understanding Trigonometric Functions

Extension Of Trig Functions Via Unit Circle

Understanding Radian Measure Of An Angle

Understanding Trigonometric Functions

Understanding And Using The Unit Circle To Extend Trigonometric Functions To All Real Numbers

Unit Circle: Symmetry & Periodicity In Trig Functions

Using Special Triangles & Unit Circle In Trigonometry

Working With Trigonometric Functions

Graphing Trigonometric Functions

Graphing The Sine And Cosine Functions (including Transformations)

Modeling Periodic Phenomena With Trig Functions

Proving & Applying Trig Addition/subtraction

Proving & Using Pythagorean Trigonometric Identity

Solving Trigonometric Equations With Inverse Functions

Understanding Inverse Of Restricted Trigonometric Functions

Trigonometric Functions

Graphing Trig Functions

Graphing Trigonometric Functions

Graphing The Sine And Cosine Functions (including Transformations)

Solving Trig Equations

Evaluating And Interpreting The Solutions To Trigonometric Equations In Real-world Contexts Using Technology

Solving Real-world Problems Involving Trigonometric Functions (including Frequencies And Modelling)

Using Inverse Functions To Solve Trigonometric Equations

Using Inverse Functions To Solve Trigonometric Equations Using Technology And/or Intrepret The Solutions

Trigonometric Applications

Modeling Periodic Phenomena With Trig Functions

Solving Trigonometric Equations With Inverse Functions

Understanding Inverse Of Restricted Trigonometric Functions

Trigonometric Basics

Extension Of Trig Functions Via Unit Circle

Understanding Radian Measure Of An Angle

Unit Circle: Symmetry & Periodicity In Trig Functions

Using Special Triangles & Unit Circle In Trigonometry

Trigonometric Identities

Applying And Analysing Trigonometric Functions

Proving & Applying Trig Addition/subtraction

Proving & Using Pythagorean Trigonometric Identity

Understanding Trig Functions

Understanding Trigonometric Functions

Understanding And Using The Unit Circle To Extend Trigonometric Functions To All Real Numbers (both Degrees And Radians)

Types Of Functions

Advanced Functions

Applying And Analysing Functions

Graphing Symbolic Functions & Key Features

Graphing Polynomial Functions & Identifying Zeros

Graphing Rational Functions With Zeros & Asymptotes

Graphing Root, Piecewise, Step & Absolute Value Functions

Graphing Functions

Understanding Sequences As Recursive Functions

Exponential And Logarithmic Functions

Function Sequence Relationships

Functions (sequence/series)

Arithmetic & Geometric Sequences: Recursive & Explicit

Linear Functions

Graphing Linear Functions

Graphing Linear Functions And Showing Intercepts

Transformations On Absolute Value Linear Functions

Transformations On Linear Functions

Understanding Linear Functions

Recognising Situations In Which One Quantity Changes At A Constant Rate With Respect To Another Quantity

Writing And Interpreting Linear Functions

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Description/equation

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Graph

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Set Of Input-output Pairs

Interpreting The Parameters Of A Linear Function In Terms Of A Context

Quadratic Functions

Applying And Analysing Quadratic Functions

Solving Real-world Problems Involving Quadratic Functions

Using The Process Of Factorisation/completing Square To Find/show Zeroes, Extreme Values And Symmetry On Graphs Of Quadratic Functions

Graphing Symbolic Quadratic Functions

Graphing Linear & Quadratic Functions

Graphing Quadratic Functions

Graphing Quadratic Functions (including Showing Intercepts, Maxima Or Minima)

Transformations On Quadratic Functions

Rewriting Quadratic Functions To Reveal Properties

Interpreting Quadratic Graphs Via Factoring

Understanding Quadratic Functions

Identifying Characteristics Of Quadratic Functions

Writing And Interpreting Quadratic Functions

Writing A Quadratic Function Under Specific Conditions

Trigonometric Functions

Geometry

Angles

Angle Measurement

Understanding And Measuring Angles

Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Angle Relationships

Solving Equations For Unknown Angles

Solving Problems Involving Angles And Equations

Applying Facts About Complementary Angles To Solve Problems

Applying Facts About Supplementary Angles To Solve Problems

Applying Facts About Two Or More Types Of Angles (vertically Opposite, Complementary, Supplementary, Adjacent) To Solve Problems

Applying Facts About Vertically Opposite Angles To Solve Problems

Understanding Triangle Angles & Similarity

Understanding And Measuring Angles

Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Drawing Angles

Acute, Obtuse, And Right Angles

Naming Angles Using Points

Problem Solving With Angles

Unknown Angles

Understanding Angles

Additive Property Of Angles

Angle Measurement

Area

Circles

Applying The Understanding Of The Area Of A Circle To Solve Problems

Deriving The Relationship Between The Circumference And Area Of A Circle

Recalling And Using The Formulae For The Area Of A Circle To Solve Problems

Circle Area & Circumference Formulas Usage

Irregular Shapes

Measuring And Estimating Area Of Miscellaneous Shapes

Calculating And Comparing Areas Of Similar Polygons

Calculating Areas Of Irregular Polygons

Polygons

Area Of Irregular Figures

Area Of Quadrilaterals

Area Of Triangles

Area And Volume

Area

Measuring And Estimating Area Of Miscellaneous Shapes

Calculating Areas Of Irregular Polygons

Volume

Basic Geometry

Expressing Properties With Equations

Solving Geometry Problems With Line Slopes

Fundamental Concepts

Proving Theorems: Lines & Angles

Understanding Basic Geometry Definitions

Understanding And Measuring Angles

Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Geometric Elements

Drawing And Identifying Geometric Elements

Drawing And Understanding Skew Lines And Planes

Drawing And Identifying Pairs Of Lines

Drawing And Identifying Parallel And/or Perpendicular Lines

Geometric Properties

Proving And Using Geometric Properties

Using The Angle Bisector Theorem To Solve Problems

Using The Perpendicular Bisector Theorem To Solve Problems

Geometric Terminology

Naming Geometric Elements

Naming Points, Line Segments, Rays, Lines And Planes

Understanding Key Terms

Knowing Precise Definitions Of Line Segments, Perpendicular Lines And Parallel Lines

Geometry Terminology

Naming Geometric Elements

Naming Points, Line Segments, Rays, Lines And Planes

Understanding Key Terms

Knowing Precise Definitions Of Line Segments, Perpendicular Lines And Parallel Lines

Circles And Conic Sections

Composing Shapes

Building With Shapes

Combining Shapes

Congruence And Similarity

Applications

Applying Congruency And/or Similarity To Solve Problems

Use Congruency Criteria To Solve Problems

Use Similarity Criteria To Solve Problems

Congruence

Applying Congruency To Solve Problems

Use Congruency Criteria To Solve Problems

Congruence Of Triangles Via Rigid Motions

Transforming Figures & Determining Congruence

Triangle Congruence Via Rigid Motions

Understanding Congruency

Establishing The Conditions Necessary For Two Triangles To Be Congruent

Reasoning How Two Figures Are Congruent Using Transformations

Similarity

Applying Similarity To Solve Problems

Use Similarity Criteria To Solve Problems

Establishing Aa Criterion For Similar Triangles

Identifying Similarity In Triangles Using Transformations

Triangle Congruence & Similarity Problem Solving

Understanding Similarity

Describing A Sequence Of Transformations To Demonstrate Similarity Between Two Figures

Establishing The Conditions Necessary For Two Triangles To Be Similar

Identifying Similar Figures

Mathematical Practices

Math Puzzles And Logic

Mathematical Communication

Mathematical Reasoning

Modeling And Tools

Appropriate Tool Selection

Mathematical Models

Technology Use In Mathematics

Problem Solving

Reasoning And Proof

Logical Reasoning

Mathematical Arguments

Pattern Recognition

Mathematics Connections

Digital Tools

Creating Data Visualizations

Creating Digital Graphs

Creating Digital Representations Of Data

Creating Simple Digital Representations

Digital Problem Solving

Introduction To Math Technology

Modeling Math Problems Digitally

Using Digital Tools For Calculations

Using Simple Digital Math Tools

Using Basic Calculation Tools

Using Basic Digital Math Tools

Using Digital Calculation Tools

Using Digital Measurement Tools

Math In Art

Creating Symmetrical Patterns

Creating With Shapes

Geometric Art

Creating Patterns With Geometric Shapes

Symmetry In Art

Geometric Designs

Geometric Designs In Art

Geometric Patterns In Architecture

Mathematical Perspective In Visual Arts

Number Patterns In Art

Patterns In Cultural Designs

Proportions In Visual Arts

Shape Patterns In Art

Symmetry In Art

Symmetry In Art And Design

Math In Daily Life

Counting In Everyday Situations

Counting Money In Real Situations

Financial Applications

Creating Budgets

Making Financial Decisions

Financial Decisions

Measurement Applications

Cooking And Recipes

Designing And Building

Measurement In Cooking And Building

Measurement In Cooking And Construction

Measuring In Cooking

Shopping And Money

Time Management

Time Management And Planning

Using Measurement At Home

Measurement

Unit Conversions

Applying Unit Rates To Conversions

Converting Within Measurement Systems

Solving Real-world Measurement Problems

Working With Units

Choosing Appropriate Units

Converting Between Related Units

Multiple-step Conversions

Measurement And Data

Data

Measurement Concepts

Money

Time

Number System

Absolute Value And Operations

Complex Numbers

Applications Of Complex Numbers

Proving Fundamental Theorem Of Algebra

Solving Quadratics With Complex Solutions

Understanding And Applying Conjugates Of Complex Numbers

Applying Conjugates To Find Quotients

Finding The Conjugate Of A Complex Number

Complex Number Fundamentals

Extend Polynomial Identities To Complex Numbers

Understanding Complex Numbers And I² = -1

Understanding And Using Complex Number Notation

Finding The Square Root Of A Negative Number

Knowing The Existence Of A Complex Number I And That I^2 = –1

Understanding That Every Complex Number Has The Form Of A + Bi Where A And B Are Real Numbers

Complex Number Operations

Adding And Subtracting Complex Numbers

Using Different Properties (commutative, Associative) To Add And/or Subtract Complex Numbers

Adding, Subtracting & Multiplying Complex Numbers

Applying Properties Of Operations On Complex Numbers To Solve Problems

Calculating The Distance Between Complex Numbers

Extending Algebraic Polynomial Identities To Complex Numbers

Finding The Midpoint Of A Segment Connecting Two Complex Numbers

Knowing The Fundamental Theorem Of Algebra

Solving Problems Involving A Mix Of Addition, Subtraction, Multiplication And/or Division Of Complex Numbers

Finding Conjugates & Moduli Of Complex Numbers

Multiplying Complex Numbers

Using I^2 = –1 And Different Properties (commutative, Associative, Distributive) To Multiply Complex Numbers (including Cases Where Addition/subtraction Are Involved)

Complex Numbers In The Coordinate Plane

Complex Plane: Distance & Midpoint Calculation

Geometric Representation Of Complex Numbers

Proving Fundamental Theorem Of Algebra

Representing Complex Numbers In Different Forms

Representing Complex Numbers

Finding The Modulus And/or Argument Of A Complex Number

Representing Complex Numbers In The Polar Form

Representing Complex Numbers In The Rectangular Form

Understanding Why The Rectangular And Polar Forms Of A Complex Number Represent The Same Number

Solving Quadratics With Complex Solutions

Operations With Complex Numbers

Adding And Subtracting Complex Numbers

Using Different Properties (commutative, Associative) To Add And/or Subtract Complex Numbers

Adding, Subtracting & Multiplying Complex Numbers

Applying Properties Of Operations On Complex Numbers To Solve Problems

Calculating The Distance Between Complex Numbers

Extending Algebraic Polynomial Identities To Complex Numbers

Finding The Midpoint Of A Segment Connecting Two Complex Numbers

Knowing The Fundamental Theorem Of Algebra

Solving Problems Involving A Mix Of Addition, Subtraction, Multiplication And/or Division Of Complex Numbers

Multiplying Complex Numbers

Using I^2 = –1 And Different Properties (commutative, Associative, Distributive) To Multiply Complex Numbers (including Cases Where Addition/subtraction Are Involved)

Understanding Complex Numbers

Extend Polynomial Identities To Complex Numbers

Finding Conjugates & Moduli Of Complex Numbers

Representing Complex Numbers

Finding The Modulus And/or Argument Of A Complex Number

Representing Complex Numbers In The Polar Form

Representing Complex Numbers In The Rectangular Form

Understanding Why The Rectangular And Polar Forms Of A Complex Number Represent The Same Number

Understanding Complex Numbers And I² = -1

Understanding And Applying Conjugates Of Complex Numbers

Applying Conjugates To Find Quotients

Finding The Conjugate Of A Complex Number

Understanding And Using Complex Number Notation

Finding The Square Root Of A Negative Number

Knowing The Existence Of A Complex Number I And That I^2 = –1

Understanding That Every Complex Number Has The Form Of A + Bi Where A And B Are Real Numbers

Decimal Numbers

Comparing Decimals

Comparing To Tenths Or Hundredths

Comparing Two Decimal Numbers To Thousandths Using The Symbols >, = And <

Comparing Two Decimal Numbers To Thousandths Using The Symbols >, = And <, Ordering Decimal Numbers

Operations With Decimal Numbers

Adding And Subtracting Decimal Numbers

Adding And Subtracting Decimal Numbers Using The Standard Algorithm

Adding Decimal Numbers Using Concrete Models Or Drawings

Adding Decimal Numbers Using Place Value Strategies

Estimating Sums And Differences Using Rounding

Subtracting Decimal Numbers Using Concrete Models Or Drawings

Subtracting Decimal Numbers Using Place Value Strategies

Multiplying And Dividing Decimal Numbers

Dividing Decimal Numbers Using Place Value Strategies

Dividing Decimal Numbers Using Properties Of Operations

Estimating Products And Quotients Using Rounding

Multiplying And/or Dividing Decimal Numbers Using The Standard Algorithm

Multiplying Decimal Numbers Using Place Value Strategies

Multiplying Decimal Numbers Using Properties Of Operations

Understanding Decimals

Applying Place Value Understanding (decimal Numbers)

Explaining Patterns In The Placement Of The Decimal Point When Multiplying Or Dividing By Powers Of 10

Reading And Writing Decimal Numbers To Thousandths Using Base-ten Numerals

Reading And Writing Decimal Numbers To Thousandths Using Number Names

Reading And Writing Decimal Numbers To Thousandths Using The Expanded Form

Using Place Value Understanding To Round Decimal Numbers To Any Place

Expressing Fractions As Decimals

Tenths And Hundredths

Exponents And Radicals

Radicals

Concepts In Irrational Numbers

Understanding Irrational Numbers

Writing A Radical In Its Simplest Form

Rational Exponents

Rewriting Radicals & Rational Exponents

Understanding Rational Exponents & Radicals

Understanding And Applying The Laws Of Exponents To Numerical Expressions (rational Exponents)

Simplifying Expressions Involving Rational Exponents Using The Laws Of Exponents

Understanding That The Definition Of Rational Exponents Follows From Extending Understanding Of Integer Exponents

Fractions

Comparing Fractions

Different Numerators And Denominators

Ordering Fractions

Same Denominator

Same Numerator

Using Benchmarks

Using Equivalent Fractions

Equal Parts

Identifying Fourths

Identifying Halves

Making Fourths

Making Halves

Recognizing 2, 3, And 4 Equal Parts

Equivalent Fractions

Generating Equivalent Fractions

Recognizing Equivalent Fractions

Understanding Equivalence Using Models

Operations With Fractions

Adding And Subtracting Unlike Fractions

Adding And/or Subtracting Mixed Numbers With Unlike Denominators

Adding And/or Subtracting Unlike Fractions

Solving Word Problems Involving Addition And/or Subtraction Of Unlike Fractions Referring To The Same Whole

Dividing Fractions And/or Mixed Numbers

Calculating And Interpreting The Quotient Of The Division Of A Non-zero Whole Number By A Unit Fraction

Calculating And Interpreting The Quotient Of The Division Of A Unit Fraction By A Non-zero Whole Number

Solving Real-world Problems Involving Division Of Unit Fractions By Whole Numbers

Solving Real-world Problems Involving Division Of Whole Numbers By Unit Fractions

Solving Word Problems Involving Division Of Whole Numbers Leading To Fractional Or Mixed Number Answers

Multiplying Fractions And/or Mixed Numbers

Comparing The Size Of A Product Of Fractions To One Of The Fractions Based On Their Relative Sizes

Finding The Area Of A Rectangle With Fractional Side Lengths By Tiling

Interpreting The Product '(a/b) × Q' As 'a' Parts Of A Partition Of 'q' Into 'b' Equal Parts

Multiplying Two Or More Fractions Or Mixed Numbers

Solving Real-world Problems Involving Multiplication Of Fractions And Mixed Numbers

Understanding Fractions

Irrational And Rational Numbers

Operations With Irrational Numbers

Adding And Subtracting Irrational Numbers

Adding And/or Subtracting Radicals

Explaining/demonstrating Why The Sum Or Difference Of A Rational And Irrational Number Is Irrational

Multiplying And Dividing Irrational Numbers

Explaining Why The Product Or Quotient Of A Rational And Irrational Number Is Irrational

Multiplying And/or Dividing Radicals

Solving Problems Involving Mixed Operations On Radicals

Simplifying Multi-operation Expressions Involving Radicals (including Denominator Rationalisation)

Operations With Rational Numbers

Adding And Subtracting Rational Numbers

Explaining/demonstrating Why The Sum Or Difference Of Two Rational Numbers Is Rational

Multiplying And Dividing Rational Numbers

Explaining/demonstrating Why The Product Or Quotient Of Two Rational Numbers Is Rational

Properties Of Irrational Numbers

Rational & Irrational Numbers Operations

Matrices

Basic Matrix Operations

Add, Subtract, Multiply Matrices

Adding And Subtracting Matrices

Adding And/or Subtracting Matrices Of Appropriate Dimensions

Matrix Multiplication With Vectors

Multiplying Matrices By Scalars

Multiplying Matrices

Multiplying A Vector (column Matrix) By A Matrix To Produce Another Vector

Multiplying Matrices By Scalars

Multiplying Two Matrices Of Appropriate Dimensions

Understanding That Matrix Multiplication Is Associative And Distributive

Understanding That Matrix Multiplication Is Associative And Distributive But Not Commutative

Understanding The Role Of The Identity Matrix In Matrix Multiplication

Matrix Applications

2x2 Matrix Transformations & Determinant Area

Data Manipulation Using Matrices

Solving Problems Involving Mixed Operations

Solving Problems Involving A Mix Of Addition, Subtraction And/or Multiplication Of Matrices

Understanding And Applying Determinants

Finding The Inverse Of A Matrix (if It Exists)

Understanding And Using Matrices

Representing And Manipulating Data Through Matrices

Matrix Concepts

Understanding Role Of Zero, Identity Matrices & Determinants

Understanding And Applying Determinants

Finding The Inverse Of A Matrix (if It Exists)

Understanding And Using Matrices

Representing And Manipulating Data Through Matrices

Matrix Operations

Add, Subtract, Multiply Matrices

Adding And Subtracting Matrices

Adding And/or Subtracting Matrices Of Appropriate Dimensions

Matrix Multiplication With Vectors

Multiplying Matrices By Scalars

Multiplying Matrices

Multiplying A Vector (column Matrix) By A Matrix To Produce Another Vector

Multiplying Matrices By Scalars

Multiplying Two Matrices Of Appropriate Dimensions

Understanding That Matrix Multiplication Is Associative And Distributive

Understanding That Matrix Multiplication Is Associative And Distributive But Not Commutative

Understanding The Role Of The Identity Matrix In Matrix Multiplication

Non-commutative Matrix Multiplication

Matrix Properties

2x2 Matrix Transformations & Determinant Area

Matrix Multiplication With Vectors

Non-commutative Matrix Multiplication

Understanding Role Of Zero, Identity Matrices & Determinants

Ratios And Proportional Relationships

Ratio Concepts

Ratio Applications

Calculating Percentages

Measurement Conversions

Solving Rate Problems

Understanding Ratios

Calculating Unit Rates

Comparing Ratios

Representing Ratios

Ratio And Proportion

Solving Ratio Problems

Applying Proportional Relationships To Solve Multi-step Problems

Applying Proportional Relationships To Solve Multi-step Problems Involving Percentages And/or Ratios

Calculating Unit Rates With Fraction Ratios

Solving Multistep Ratio & Percent Problems

Understanding Proportional Relationships

Recognising And Representing Proportional Relationships Between Quantities

Representing Proportional Relationships

Identifying Proportional Relationships

Identifying Unit Rates (tables, Graphs, Equations Etc.)

Representing Proportion Relationships Using Equations

Representing Proportion Relationships Using Graphs

Understanding And Applying Equivalent Ratios

Unit Rates

Understanding Ratio Notation, Rate Language And Unit Rates

Calculating Unit Rates Associated With Ratios Of Fractions

Statistics And Probability

Basic Statistical Concepts

Understanding Statistical Variability (qualitative)

Recognising A Statistical Question

Basic Statistics

Statistical Questions

Understanding Statistical Variability (qualitative)

Recognising A Statistical Question

Basic Statistics And Visual Representations

Bivariate Statistics

Scatter Plots

Calculate & Interpret Correlation Coefficient

Correlation Vs Causation Distinction

Interpreting Frequencies & Trends In Data

Interpreting Slope & Intercept In Data Context

Scatter Plot Representation & Variable Relation

Assessing Function Fit Via Residual Analysis

Fit & Use Functions To Solve Data Problems

Fit Linear Function For Scatter Plot

Understanding And Applying Scatter Plots

Analyzing Residuals To Assess Model Fit

Distinguishing Between Correlation And Causation

Finding And Interpreting Correlation Coefficients

Fitting Lines And Functions To Data

Interpolating And Extrapolating With Linear Models

Using Fitted Functions To Solve Contextual Problems

Two-way Tables

Identifying And Interpreting Patterns Of Association

Calculating And Interpreting Relative Frequencies

Describing Possible Associations In Data

Interpreting Two-way Tables For Categorical Variables

Investigating Patterns In Scatter Plots

Bivariate Data

Linear Models

Applying The Fitted Straight Line To Identify Relationships And Solve Problems (including Interpreting Slopes And Intercepts)

Modeling & Assessing Linear Relationships

Solving Problems Using Linear Model Equations

Scatter Plots

Interpreting Scatter Plots & Data Patterns

Understanding And Applying Scatter Plots

Drawing Scatter Plots

Fitting A Straight Line And Assessing Its Fit (informally)

Interpreting Scatter Plots

Scatter Plots And Correlation

Calculate & Interpret Correlation Coefficient

Correlation Vs Causation Distinction

Interpreting Frequencies & Trends In Data

Interpreting Slope & Intercept In Data Context

Scatter Plot Representation & Variable Relation

Assessing Function Fit Via Residual Analysis

Fit & Use Functions To Solve Data Problems

Fit Linear Function For Scatter Plot

Understanding And Applying Scatter Plots

Two-way Tables

Identifying And Interpreting Patterns Of Association

Interpreting Associations In Bivariate Categorical Data

Data

Data Analysis

Interpreting Data

Data Representation

Organising And Representing Data

Representing Data Using Box-and-whisker Plots

Representing Data Using Circle Graphs (pie Charts)

Representing Data Using Dot Plots

Representing Data Using Histograms

Data Visualization

Organising And Representing Data

Representing Data Using Box-and-whisker Plots

Representing Data Using Dot Plots

Representing Data Using Histograms

Data Analysis

Ela

Critical Thinking

Foundational Reading Skills

Language

Language And The Arts

Reading

Reading Comprehension

Craft And Structure

Digital Reading

Integration Of Knowledge

Comparing Texts

Compare And Contrast Across Texts

Multiple Sources On Same Topic

Connecting Texts

Comparing Similar Texts

Connecting To Personal Experience

Reading Strategies

Text Features

Text Feature Selection And Usage

Visual Elements

Graphic Organizer Reading

Key Ideas And Details

Range Of Reading

Informational Texts

Literary Text Types

Fantasy

Historical Fiction

Reading Levels And Progression

Realistic Fiction With Illustrations

Literary Texts

Literature

Drama

Fiction

Fantasy

Historical Fiction

Realistic Fiction

Science Fiction

Novel Studies

Charlotte's Web

Frindle

James And The Giant Peach

Magic Treehouse Series

Poetry

Novel Studies

A Long Walk To Water

A Wrinkle In Time

Anne Of Green Gables

The Lightning Thief

Wonder

Reading Passages

Drama

Fiction

Nonfiction

Poetry

Reading Strategies

Inference

Object Riddle Identification

Picture-emotion Matching

Predicting Events

Research And Media Literacy

Speaking And Listening

Writing

Science

Biology

Chemistry

Earth And Space Science

Engineering Principles

Applied Physics Engineering

Electrical System Analysis

Energy Efficiency Engineering

Engineering Measurements

Material Strength Analysis

Mechanical Systems Design

Biomedical Engineering

Biomechanics Basics

Biomedical Imaging Concepts

Healthcare Technology Ethics

Medical Device Principles

Prosthetic Design Considerations

Engineering Design Process

Define Complex Problems

Design Optimization

Engineering Communication

Evaluation Criteria Development

Generate Multiple Solutions

Prototype Testing Methods

Environmental Engineering

Environmental Impact Analysis

Pollution Control Technologies

Renewable Energy Engineering

Sustainable Design Principles

Water Treatment Systems

Engineering And Technology

Design Challenges

Erosion Prevention

Flood Prevention

Hurricane Damage Prevention

Magnetic Solutions

Engineering Design

Evaluate Tests Of Engineering-design Solutions

Explore The Engineering-design Process

Identify Parts Of The Engineering-design Process

Engineering Design Process

Ethics In Science And Engineering

Bioethical Issues

Environmental Impact Assessment

Ethical Considerations In Research

Social Implications Of Technology

Science And Technology

Technology Applications

Communications Technology

Environmental Technology

Medical Technology

Transportation Technology

Environmental Science

Human Body

Basic Body Systems

Getting Energy From Food

Moving Our Bodies

Removing Wastes

Using Our Senses

Social-studies

American Culture

Cultural Expressions

Art And Architecture

Literature And Language

Music And Performance

Cultural Movements

Antebellum Reform Movements

Immigration And Cultural Identity

Antebellum Immigration

Cities In The Gilded Age

Reform Movements

The Abolitionists

Social Organization

Class Systems

Family Structures

Urban And Rural Life

Social And Political Thought

The First Party System: Federalists And Democratic-republicans

Ancient Civilizations

Ancient Civilizations Of The East

Ancient China

Early Chinese Thought

Early History

Science And Technology

The Han Dynasty

The Qin Empire

The Teachings Of Confucius

Ancient Egypt

Religion

The Old Kingdom

The Kingdoms Of Kush

Ancient India

The Gupta Empire

The Indus Civilization

The Mauryan Empire

Mesopotamia

Early Mesopotamia

Mesopotamian Empires

Ancient Civilizations Of The West

Ancient Greece

Alexander The Great

Classical Athens

Geography And Society

Government And Culture

Comparing Athens And Sparta

Ancient Rome

Early Americas

Foundations Of Aztec Civilization

Foundations Of Inca Civilization

Foundations Of Maya Civilization

Pre-contact Native Peoples

Introduction

Native Peoples Of The Southwest

Comparative Studies

Ancient River Civilizations

Achievements And Legacy

Geography And Society

Cultural Achievements

Art And Architecture

Cultural Achievements

Government Systems

Citizenship In Ancient Societies

Classical Athens

Government And Culture

Early Forms Of Government

Early Mesopotamia

Mesopotamian Empires

Law Codes

Political Structures

Roman Government

Monarchy To Republic

Religious Beliefs

Religious Systems

Ancient Egyptian Religion

Origins Of Buddhism

Origins Of Christianity

Origins Of Hinduism

Origins Of Islam

Origins Of Judaism

Social Structures

Social Hierarchies

Early Humans And Rise Of Civilization

Early River Valley Civilizations

Neolithic Revolution

The Neolithic Period

Paleolithic Era

Civics And Government

Comparative Government And Politics

Country Studies

Authoritarian Systems

China

Iran

Russia

Democratic Systems

Mexico

Nigeria

United Kingdom

Global Politics

Global Challenges

Climate Change

Economic Development

Human Rights

Security Threats

International Organizations

Ngos And Non-state Actors

Regional Organizations

United Nations

International Relations

Conflict And Cooperation

Diplomacy And Foreign Policy

Major Theories

Political Concepts

Citizen Participation

Elections And Voting

Interest Groups

Media And Politics

Political Parties

Political Institutions

Electoral Systems

Executive Systems

Judicial Systems

Legislative Bodies

Power And Democracy

Authoritarianism

Democratic Principles

Forms Of Government

Contemporary Global Issues

Global Commons

Environment And Climate

Climate Change Politics

Energy Transition

Environmental Governance

Global Health

Health Inequalities

Health Systems

Pandemics And Responses

Global Economy And Development

Economic Challenges

Economic Governance

Poverty And Inequality

Sustainable Development

Technology And Society

Artificial Intelligence

Cybersecurity

Digital Revolution

Human Rights And Justice

Justice Systems

Criminal Justice Reform

International Justice

Transitional Justice

Rights Movements

Civil And Political Rights

Indigenous Rights

Social And Economic Rights

Security Challenges

Human Security

Food And Water Security

Humanitarian Intervention

Refugee Crises

International Conflict

Nuclear Proliferation

Terrorism

War And Peace

Culture

Cultural Diversity

Community Diversity

Cultural Groups

Shared Traditions

Cultural Diversity

Cultural Groups And Contributions

Different Traditions

Cultural Events

Cultural Ceremonies

Festivals And Celebrations

Heritage Events

Cultural Expressions

Arts And Traditions

Cultural Events

Community Festivals

Cultural Celebrations

Cultural Exchange

Cultural Expression

Art And Architecture

Inventions And Innovations

Literature And Stories

Music And Dance

Cultural Expressions

State Symbols And Traditions

Historical Cultural Contributions

Cultural Identity

Community Organization

Cultural Diversity

Cultural Communities

Cultural Exchange

Cultural Traditions

Cultural Diversity In Communities

Cultural Heritage

Cultural Identity

Family Traditions

State Cultural Heritage

Family Traditions

Personal Heritage

Global Awareness

Culture And Society

Cultural Exchange

Religious Influences

Technological Exchanges

Trade And Cultural Diffusion

Cultural Expressions

Art And Architecture

Literature And Language

Music And Performance

Social Organization

Class Systems

Family Structures

Urban And Rural Life

Foreign-language

American Sign Language

Chinese/mandarin

French

German

Japanese

Latin

Other Languages

Spanish

Music

Advanced Music Studies

Advanced Ensemble Participation

Music Business And Careers

Music Technology

Music Theory And Composition

Creating

Performing

Responding

Career-technical

Advanced Career Pathways

Career Awareness

Follow Directions

Identify Different Jobs In Community

Understand What Workers Do

Work With Others

Career Exploration

Connect School Subjects To Careers

Develop Responsibility

Explore Different Career Areas

Practice Teamwork

Career Investigation

Communication Skills

Explore Career Clusters

Technology Skills

Understand Career Pathways

Career Preparation

Career Specialization

Business And Entrepreneurship

Engineering And Technology

Financial Literacy

Health Sciences

Leadership Development

Pathway Preparation

Business Pathways

Engineering Pathways

Healthcare Pathways

Industry Certifications

Information Technology

Professional Development

Skills Development

Computer Applications

Digital Literacy

Interview Skills

Problem-solving Methods

Physical-education

Health And Fitness

Health And Wellness

Plan Lifetime Activity Program

Promote Healthy Lifestyles

Understand Injury Prevention

Health-related Fitness

Participate In Fitness Testing

Set Fitness Goals

Track Improvement

Lifetime Fitness

Design Fitness Programs

Monitor Fitness Progress

Understand Exercise Principles

Lifetime Wellness

Adaptive Physical Education

Coaching And Leadership

Exercise Science

Sports Medicine

Movement Applications

Apply Skills In Game Situations

Demonstrate Teamwork

Follow Rules And Procedures

Movement Mastery

Apply Strategies In Activities

Demonstrate Skill Combinations

Teach Skills To Others

Movement Skills

Specialized Movement

Analyze Movement Performance

Apply Skills In Complex Activities

Demonstrate Leadership

Specialized Physical Education

Leadership In Physical Activity

Personal Fitness Planning

Sport-specific Skills

Library-media

Advanced Research

Cite Sources Appropriately

Evaluate Source Credibility

Synthesize Information From Sources

Digital Literacy

Create Multimedia Projects

Evaluate Digital Sources

Understand Copyright And Fair Use

Information Leadership

Create Information Products

Evaluate Information Systems

Teach Research Skills To Others

Information Literacy

Distinguish Fiction From Nonfiction

Locate Books By Topic

Use Pictures To Find Information

Information Mastery

Conduct Independent Research

Present Findings Effectively

Understand Intellectual Property

Information Science

Digital Publishing

Information Ethics

Library Science Careers

Research Methodology

Information Skills

Answer Questions About Stories

Handle Books Properly

Listen To Stories

Understand Book Parts

Research Skills

Identify Reliable Sources

Organize Information

Use Multiple Sources For Research

Seasonal

Fall/autumn

Heritage Months

Asian American And Pacific Islander Heritage Month

Black History Month

Hispanic Heritage Month

Native American Heritage Month

Pride Month

Women's History Month

Religious And Cultural

Diwali

Eid Al-adha

Eid Al-fitr

Ramadan

Rosh Hashanah

Yom Kippur

Spring

Summer

Father's Day

First Day Of Summer

Flag Day

Independence Day

Juneteenth

Summer Vacation

Winter

Year-round Events

Health

Personal Health

Safety

Technology

Basic Skills

Follow Technology Rules

Open And Close Programs

Use Mouse And Keyboard

Coding Basics

Create Simple Programs

Debug Basic Programs

Understand Basic Programming Concepts

Computational Thinking

Analyze And Interpret Data

Apply Computational Concepts

Model And Simulate Processes

Computer Science

Computer Science And Engineering

Ap Computer Science

Artificial Intelligence

Cybersecurity

Data Science

Engineering Design

Digital Citizenship

Practice Responsible Technology Use

Understand Appropriate Online Behavior

Digital Fluency

Create Digital Media

Understand Digital Citizenship

Use Technology For Problem Solving

Digital Leadership

Design Technology Solutions

Mentor Others In Technology Use

Understand Emerging Technologies

Digital Literacy

Create Simple Digital Projects

Save And Organize Files

Use Technology For Learning

Digital Safety

Keep Personal Information Private

Use Technology Appropriately

Programming

Design And Create Programs

Test And Refine Solutions

Use Logical Reasoning

Technology Integration

Collaborate Using Digital Tools

Create Complex Digital Projects

Create Multimedia Presentations

Understand Technology Impact On Society

Use Technology Across Curriculum

Use Technology For Research

Visual-arts

Advanced Placement And Career Preparation

Ap Art History

Ap Studio Art

Art Career Exploration

Portfolio Development

Connecting

Analyze Historical Art Movements

Connect Art To Historical Periods

Connect Art To Social Issues

Identify Art From Various Cultures

Relate Art To Personal Experiences

Understand Art's Role In Culture

Creating

Presenting

Critique Artwork

Curate Artwork For Display

Write Artist Statements

Responding

Library

Passages

Math

Mathematics Connections

Mathematics Connections Passages

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Mathematical Estimation and Arithmetic Review - Rounding and Compatible Numbers - Operations with Decimals

5th Grade

Math

Focus on the development of arithmetic skills by using rounding and compatible numbers for effective estimation in decimal operations. Learners will engage in estimating sums and products, as well as calculating values, to enhance number sense and accuracy.

4th Grade

Comprehension Strategies - Identifying Key Points - Effective Reading Skills

Passage

Comprehension Strategies - Identifying Key Points - Effective Reading Skills

4th Grade

Math

Certainly, please provide the original description that requires rewriting.

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