Thinkster Logo
Start 7-Day Free Trial
Thinkster is proud to announce the acquisition of AI EdTech company SelectQ.io as part of our family post acquisition.
See Press Release for Details

5.NBT.A.3b

5.NBT.A.3b

Uncategorized

Square Root, Cube Root & Piecewise Functions
Measures of Center

Grade 1

Subtraction Word Problems
Turns, Rotation & Direction
Counting Money
Addition & Subtraction Equations
Balancing Equations
Equivalent Expression
Fact Families
Basic Subtraction
Ordinal Numbers
Subtraction using Place Value
Ones, Tens & Hundreds
Number Names
Relative Position
Logical Reasoning
Mathematical Symbols in Equations
Addition & Subtraction in Words
Correlate 2-D & 3-D Shapes
Basic Addition
Properties of Addition
Number Bonds
Fact Families
Comparing Expressions
Balancing Equations
Addition Word Problems
Defining vs Non-defining Attributes
Understanding Patterns
Partitions
Telling Time
Calculation of Time
Calendar Activities
Comparing Numbers
Skip Counting
Length Measurements
Data Interpretation

Addition

Basic Addition
Properties of Addition
Number Bonds
Fact Families
Comparing Expressions
Balancing Equations
Addition Word Problems

Geometry

Turns, Rotation & Direction
Defining vs Non-defining Attributes
Correlate 2-D & 3-D Shapes
Partitions

Measurement & Data

Counting Money
Telling Time
Calculation of Time
Calendar Activities
Length Measurements
Understanding Patterns
Data Interpretation

Number Relation

Addition & Subtraction in Words
Mathematical Symbols in Equations
Logical Reasoning
Relative Position
Skip Counting
Comparing Numbers

Number Representation

Number Names
Ones, Tens & Hundreds
Subtraction using Place Value
Ordinal Numbers

Subtraction

Subtraction Word Problems
Basic Subtraction
Fact Families
Equivalent Expression
Balancing Equations
Addition & Subtraction Equations

Grade 2

Comparing Expressions
Equivalent Equation
Subtraction Word Problems
Balancing Equations
Subtraction with Regrouping
Subtraction without Regrouping
Basic Subtraction
Odd & Even Numbers
Subtraction using Place Value
Addition using Place Value
Ones, Tens & Hundreds
Number Names
Comparing Numbers
Data Interpretation
Number Line
Skip Counting
Addition & Subtraction in Words
Function Rules
Addition without Regrouping
Comparing Lengths
Identifying Shapes
Defining vs Non-defining Attributes
Partitions
Turns, Rotation & Direction
Symmetry
Telling Time
Comparing Time
Time Word Problems
Counting Money
Conversion of Money
Operations on Money
Length, Weight & Capacity
Adding by Ones & Tens
Addition Word Problems
Balancing Equations
Addition with Regrouping
Basic Addition
Repeated Addition

Addition

Adding by Ones & Tens
Repeated Addition
Basic Addition
Addition with Regrouping
Balancing Equations
Addition Word Problems

Geometry

Identifying Shapes
Defining vs Non-defining Attributes
Partitions
Turns, Rotation & Direction
Symmetry

Measurement & Data

Telling Time
Comparing Time
Time Word Problems
Counting Money
Conversion of Money
Operations on Money
Length, Weight & Capacity
Comparing Lengths
Data Interpretation

Number Relation

Comparing Numbers
Number Line
Skip Counting
Addition & Subtraction in Words
Function Rules

Number Representation

Number Names
Ones, Tens & Hundreds
Addition using Place Value
Subtraction using Place Value
Odd & Even Numbers

Subtraction

Basic Subtraction
Subtraction without Regrouping
Subtraction with Regrouping
Balancing Equations
Subtraction Word Problems
Equivalent Equation
Comparing Expressions

Grade 3

Estimation
Multi-step Word Problems
Number Sense
Rounding Numbers
Odd & Even Numbers
Roman Numerals
Estimation
Probability Outcomes
Subtraction with Regrouping
Balancing Equations
Subtraction Word Problems
Order of Operations
Comparison of Lengths, Weights & Capacities
Applying Multiplication Properties
Area & Perimeter
Data Interpretation
Conversion of Time
Time Calculation
Calendar Activities
Time Word Problems
Counting Money
Conversion of Money
Operations on Money
Measuring Lengths, Weights & Temperature
Comparison of Numbers
Skip Counting
Mathematical Symbols in Equations
Relative Position
Number Names
Understanding Place Value
Telling Time
Estimation
Building Blocks
Equivalent Expression
Comparing Expressions
Multi-step Word Problems
Understanding Fractions
Number Line for Fraction
Equivalent Fractions
Comparing Fractions
Fraction Word Problems
Types of Fractions
Defining vs Non-defining Attributes
Partitions
Repeated Addition
Basic Multiplication
Balancing Equations
Multiplication Word Problems
Multiplication Sequences
Equivalent Expression
Comparing Expressions
Addition with Regrouping
Balancing Equations
Addition Word Problems
Multi-step Word Problems
Basic Division
Balancing Equations
Division Word Problems
Basic Addition

Addition

Basic Addition
Addition with Regrouping
Balancing Equations
Addition Word Problems
Multi-step Word Problems

Division

Estimation
Equivalent Expression
Comparing Expressions
Multi-step Word Problems
Basic Division
Balancing Equations
Division Word Problems

Fractions

Understanding Fractions
Number Line for Fraction
Equivalent Fractions
Comparing Fractions
Fraction Word Problems
Types of Fractions

Geometry

Building Blocks
Defining vs Non-defining Attributes
Partitions

Multiplication

Estimation
Applying Multiplication Properties
Repeated Addition
Basic Multiplication
Balancing Equations
Multiplication Word Problems
Multiplication Sequences
Equivalent Expression
Comparing Expressions

Measurement & Data

Telling Time
Comparison of Lengths, Weights & Capacities
Area & Perimeter
Data Interpretation
Conversion of Time
Time Calculation
Calendar Activities
Time Word Problems
Counting Money
Conversion of Money
Operations on Money
Measuring Lengths, Weights & Temperature

Number Relation

Comparison of Numbers
Skip Counting
Mathematical Symbols in Equations
Relative Position

Number Representation

Number Sense
Rounding Numbers
Odd & Even Numbers
Roman Numerals
Estimation
Number Names
Understanding Place Value

Probability

Probability Outcomes

Subtraction

Subtraction with Regrouping
Balancing Equations
Subtraction Word Problems
Order of Operations
Multi-step Word Problems

Grade 4

Multi-step Word Problems
Balancing Equations
Basic Subtraction
Probability Outcomes
Age Word Problems
Counting Money
Angles
Data Interpretation
Conversion of Time
Calculation of Time
Time Word Problems
Conversion of Money
Operations on Money
Unitary Methods Word Problems
Comparison of Numbers
Number Sequence
Odd and Even Numbers
Addition & Subtraction in Words
Logical Reasoning Word Problems
Number Names
Understanding Place Value
Rounding Numbers
Roman Numerals
Estimation
2-D Figures
Lines of Symmetry
Understanding Circles
Basic Multiplication
Properties of Multiplication
Order of Operations
Multi-step Word Problems
Telling Time
Conversion of Metric Units
Conversion of Standard Units
Lengths, Weights & Capacities Word Problems
Area & Perimeter
Lines & Angles
Factors & Multiples Word Problems
Fraction Addition
Fraction Subtraction
Fraction Word Problems
Mixed Fractions
Common Factors & HCF
Common Multiples & LCM
Rules of Divisibility
Rounding Decimals
Division Word Problems
Comparison of Expressions
Order of Operations
Division with Remainder
Multi-step Word Problems
Number Line for Decimals
Decimal Conversion
Comparison of Decimals
Decimal Addition
Decimal Subtraction
Number Sequence
Order of Operations
Fraction Multiplication
Equivalent Fractions
Fractions in Lowest Form
Fraction Conversion
Comparing Fractions
Decomposing Fractions
Addition with Regrouping
Balancing Equations
Multi-step Word Problems
Basic Division
Decimal Division
Prime & Composite Numbers
Balancing Equations
Long Division
Basic Addition

Addition

Basic Addition
Addition with Regrouping
Balancing Equations
Multi-step Word Problems

Division

Rules of Divisibility
Division Word Problems
Comparison of Expressions
Order of Operations
Division with Remainder
Multi-step Word Problems
Basic Division
Decimal Division
Prime & Composite Numbers
Balancing Equations
Long Division

Decimal

Number Line for Decimals
Decimal Conversion
Comparison of Decimals
Rounding Decimals
Decimal Addition
Decimal Subtraction
Number Sequence
Order of Operations

Fractions

Fraction Addition
Fraction Subtraction
Fraction Word Problems
Mixed Fractions
Fraction Multiplication
Equivalent Fractions
Fractions in Lowest Form
Fraction Conversion
Comparing Fractions
Decomposing Fractions

Factors & Multiples

Common Factors & HCF
Common Multiples & LCM
Factors & Multiples Word Problems

Geometry

Lines & Angles
2-D Figures
Lines of Symmetry
Understanding Circles

Multiplication

Basic Multiplication
Properties of Multiplication
Order of Operations
Multi-step Word Problems

Measurement & Data

Counting Money
Angles
Data Interpretation
Conversion of Time
Calculation of Time
Time Word Problems
Age Word Problems
Conversion of Money
Operations on Money
Unitary Methods Word Problems
Telling Time
Conversion of Metric Units
Conversion of Standard Units
Lengths, Weights & Capacities Word Problems
Area & Perimeter

Number Relation

Addition & Subtraction in Words
Comparison of Numbers
Number Sequence
Odd and Even Numbers
Logical Reasoning Word Problems

Number Representation

Number Names
Understanding Place Value
Rounding Numbers
Roman Numerals
Estimation

Probability

Probability Outcomes

Subtraction

Basic Subtraction
Balancing Equations
Multi-step Word Problems

Grade 5

Circles
Problem Solving
Measurement Word Problems
Mean, Median, Mode, Range of Data
Area & Perimeter
Elapsed Time
Percentages
Temperature
Volume of Prisms
Data Interpretation
Comparison of Numbers
Numerical Expressions
Number Sequences
Understanding Patterns
Order of Operations
Logical Reasoning Word Problems
Number Sense
Understanding Place Value
Roman Numerals
Estimation
Understanding Probability
Fraction Subtraction
Order of Operations
Fraction Conversion
Least Common Denominator
Standard Units
Metric Units
Multiplication Word Problems
Basic Multiplication
Coordinate Pairs
Area of Polygons
Types of Angles
Types of Triangles
Fraction Addition
Fraction Multiplication
Fraction Division
Operations on Fractions
Fraction Word Problems
Common Factors & GCF
Common Multiples & LCM
Long Division
Balancing Equations
Rules of Divisibility
Division Word Problems
Number Names
Expanded Form for Decimals
Comparison of Decimals
Building & Placement of Decimals
Decimal Addition & Subtraction
Decimal Multiplication
Decimal Division
Order of Operations
Reduction of Fractions
Percentage Conversion
Mixed Number Word Problems
Area Model

Division

Long Division
Balancing Equations
Rules of Divisibility
Division Word Problems

Decimal

Number Names
Expanded Form for Decimals
Comparison of Decimals
Building & Placement of Decimals
Decimal Addition & Subtraction
Decimal Multiplication
Decimal Division
Order of Operations

Fractions

Order of Operations
Fraction Conversion
Least Common Denominator
Fraction Addition
Fraction Subtraction
Fraction Multiplication
Fraction Division
Operations on Fractions
Fraction Word Problems
Reduction of Fractions
Percentage Conversion
Mixed Number Word Problems
Area Model

Factors & Multiples

Common Factors & GCF
Common Multiples & LCM

Geometry

Circles
Types of Angles
Types of Triangles
Area of Polygons
Coordinate Pairs

Multiplication

Basic Multiplication
Multiplication Word Problems

Measurement & Data

Measurement Word Problems
Area & Perimeter
Elapsed Time
Percentages
Temperature
Volume of Prisms
Data Interpretation
Metric Units
Standard Units

Number Relation

Comparison of Numbers
Numerical Expressions
Number Sequences
Understanding Patterns
Order of Operations
Logical Reasoning Word Problems

Number Representation

Number Sense
Understanding Place Value
Roman Numerals
Estimation

Probability

Understanding Probability
Mean, Median, Mode, Range of Data

Grade 6

Integer & Decimal Subtraction
Exponent Sequence
Order of Operations
Estimation
Numerical Expressions
Face Value and Place Value
Prime & Composite Numbers
Exponential Notation
Scientific Notation
Absolute Value
Coordinate Plane
Statistical Questions & Samples
Mean, Median, Mode, Range
Interpreting Data
Introduction to Ratios
Proportional Ratio
Unit Rates
Comparison of Ratios
Coordinate Pairs
Ordered Pairs
Measurement & Data Word Problems
Simple Interest
Speed, Distance & Time
Number Line
Negative Numbers
Comparison of Numbers
6th Grade Math Help | Multiplication Properties 2 – Thinkster Math
Number Sense
Exponents
Circle Graphs
6th Grade Math Help | Multiplication Properties- Thinkster Math
Circles
Triangles
Measuring Volume
3-D Shapes & Nets
Angles in a Polygon
Area of Polygons
HCF & LCM
Number Sequence
Percentages
Algebraic Division
Decimal Division
Algebraic Multiplication
Algebraic Subtraction
Algebraic Addition
Variables in Equations
Algebraic Inequalities
Dependent & Independent Variables
Algebraic Expressions
Addition of Absolute Values
Number Sequence
Long Division
Decimal Addition
Decimal Subtraction
Decimal Multiplication
Fraction Conversion & Reduction
Fraction Addition
Fraction Subtraction
Fraction Multiplication
Fraction Division
Addition of Integers
Equivalent Ratio

Addition

Number Sequence
Addition of Absolute Values
Addition of Integers

Algebra

Algebraic Expressions
Dependent & Independent Variables
Algebraic Inequalities
Variables in Equations
Algebraic Addition
Algebraic Subtraction
Algebraic Multiplication
Algebraic Division

Division

Long Division

Decimal

Decimal Addition
Decimal Subtraction
Decimal Multiplication
Decimal Division

Fractions

Number Sequence
Fraction Conversion & Reduction
Fraction Addition
Fraction Subtraction
Fraction Multiplication
Fraction Division

Factors & Multiples

HCF & LCM

Geometry

Area of Polygons
Angles in a Polygon
3-D Shapes & Nets
Measuring Volume
Triangles
Circles

Multiplication

6th Grade Math Help | Multiplication Properties- Thinkster Math

Measurement & Data

Percentages
Circle Graphs
Measurement & Data Word Problems
Simple Interest
Speed, Distance & Time

Number Relation

Exponent Sequence
Order of Operations
Number Line
Negative Numbers
Comparison of Numbers
6th Grade Math Help | Multiplication Properties 2 – Thinkster Math
Number Sense
Exponents

Number Representation

Estimation
Numerical Expressions
Face Value and Place Value
Prime & Composite Numbers
Exponential Notation
Scientific Notation
Absolute Value
Coordinate Plane
Ordered Pairs

Probability

Statistical Questions & Samples
Mean, Median, Mode, Range
Interpreting Data

Ratio & Proportion

Introduction to Ratios
Proportional Ratio
Unit Rates
Comparison of Ratios
Coordinate Pairs
Equivalent Ratio

Subtraction

Integer & Decimal Subtraction

Grade 7

Transitive Relationship
Sample Size & Data
Measures of Center & Variability
Comparison of Data
Probability of Events
Theoretical & Experimental Probability
Probability Models
Compound Events
Tree Diagrams
Comparing Ratios
Proportional Relationship
Constant of Proportionality
Proportional Relationship using Equations
Proportional Relationship using Graphs
Word Problems on Ratio & Percent
Inverse Variation
Rational & Irrational Numbers
Representative Data
Scale Factor
Algebraic Expressions
Properties of Operations for Algebraic Expressions
Algebraic Equations
Algebraic Inequalities
Types of Angles
Area & Perimeter of Circles
2D Cross Section of 3D images
Composite Shapes
Linear Expressions
Understanding Rational Numbers
Absolute Value of Rational Numbers
Additive Inverse
Properties of Addition & Subtraction of Rational Numbers
Properties of Multiplication & Division of Rational Numbers
Multiplication of Rational Numbers
Division of Rational Numbers
Operations on Rational Numbers

Algebra

Linear Expressions
Algebraic Expressions
Properties of Operations for Algebraic Expressions
Algebraic Equations
Algebraic Inequalities

Geometry

Types of Angles
Area & Perimeter of Circles
2D Cross Section of 3D images
Composite Shapes
Scale Factor

Number System

Understanding Rational Numbers
Absolute Value of Rational Numbers
Additive Inverse
Properties of Addition & Subtraction of Rational Numbers
Properties of Multiplication & Division of Rational Numbers
Multiplication of Rational Numbers
Division of Rational Numbers
Operations on Rational Numbers
Rational & Irrational Numbers

Probability

Sample Size & Data
Measures of Center & Variability
Comparison of Data
Probability of Events
Theoretical & Experimental Probability
Probability Models
Compound Events
Tree Diagrams
Representative Data

Ratio & Proportion

Comparing Ratios
Proportional Relationship
Constant of Proportionality
Proportional Relationship using Equations
Proportional Relationship using Graphs
Word Problems on Ratio & Percent
Inverse Variation
Transitive Relationship

Grade 8

Two-way Tables & Association between Variables
Transversal Lines and Angles
Pythagorean Theorem
Applications of Pythagorean Theorem
Introduction to Irrational Numbers
Square Roots
Scatter Plots
Data & Line of Best Fit
Linear Models
Rotation, Reflection & Translation of Lines
Similar Images
Dilation of 2D Figures
Congruent Images
Transformation of Parallel Lines
Transformation of Angles
Volumes of Cones, Cylinders and Spheres
Distance between Points on a Coordinate Grid
Characteristics of Graphs
Linear Models
Linear Functions
Functions & Formats
Function Rule, Domain & Range
System of Linear Equations
Linear Equations
Solutions of Equations
Slope using Similar Triangles
Slope of a Line
Operations on Numbers in Scientific Notation
Scientific Notation
Properties of Exponents
Powers & Roots
Algebraic Problems
Graphs & Number of Solutions

Algebra

Scientific Notation
Operations on Numbers in Scientific Notation
Slope of a Line
Slope using Similar Triangles
Solutions of Equations
Linear Equations
System of Linear Equations
Properties of Exponents
Graphs & Number of Solutions
Algebraic Problems
Powers & Roots

Functions

Function Rule, Domain & Range
Functions & Formats
Linear Functions
Linear Models
Characteristics of Graphs

Geometry

Transversal Lines and Angles
Pythagorean Theorem
Applications of Pythagorean Theorem
Rotation, Reflection & Translation of Lines
Distance between Points on a Coordinate Grid
Volumes of Cones, Cylinders and Spheres
Transformation of Angles
Transformation of Parallel Lines
Congruent Images
Dilation of 2D Figures
Similar Images

Number System

Introduction to Irrational Numbers
Square Roots

Probability

Scatter Plots
Data & Line of Best Fit
Linear Models
Two-way Tables & Association between Variables

Grade K

Categorization of Objects
Number Line
Basic Subtraction
Subtraction with Illustrations
Subtraction Word Problems
Count by Ones & Tens
Pictorial Models
Number Names
Number Line
Counting with Illustrations
Successive Numbers
Comparison of Numbers
Skip Counting
Comparison of Objects
Addition with Illustrations
Object Position
Correlate 2-D & 3-D Shapes
Properties of Polygons
Working with Shapes
Addition Word Problems
Properties of Addition
Number Line
Decomposing Numbers
Number Bonds
Basic Addition

Addition

Addition with Illustrations
Basic Addition
Number Bonds
Decomposing Numbers
Number Line
Properties of Addition
Addition Word Problems

Geometry

Working with Shapes
Properties of Polygons
Correlate 2-D & 3-D Shapes
Object Position

Measurement & Data

Comparison of Objects
Categorization of Objects

Number Relation

Skip Counting
Comparison of Numbers
Successive Numbers

Number Representation

Counting with Illustrations
Number Line
Number Names
Pictorial Models
Count by Ones & Tens

Subtraction

Subtraction Word Problems
Subtraction with Illustrations
Basic Subtraction
Number Line

Fact Fluency

Addition without Regrouping

Algebra 1

Probability
Surveys and Sampling
Permutations and Combinations
Measures of Central Tendency
Displaying Data
Exponential Functions
Modeling with Exponential Functions
Introduction to Parabolas
Graphing Quadratic Functions
Applications of Quadratic Equations
Identify and Solve Quadratic Equations
Modeling
Solving Systems of Linear Equations
Graph Systems of Linear Inequalities
Introduction to Systems
Translating Inequalities
Solving Inequalities
Graphing Inequalities
Absolute Value
Introduction to Functions
Evaluating Functions
Domain and Range
Features of Function Graphs
Transformations of Function Graphs
Inverse Functions
Sequences
Graphing Equations
Solving Linear Equations
Analyzing the Number of Solutions
Radical Equations
Rational Equations
Variations
Applications of Linear Equations
Rational Expressions
Polynomial Division
Factoring Polynomials
Operations with Polynomials
Evaluating Expressions
Simplifying Expressions
Introduction to Expressions
Unit Analysis
Percentage
Irrational Numbers
Real Numbers
Roots and Exponents

Algebra Foundations

Unit Analysis
Percentage
Irrational Numbers
Real Numbers
Roots and Exponents

Expressions

Evaluating Expressions
Simplifying Expressions
Introduction to Expressions

Polynomials

Rational Expressions
Polynomial Division
Factoring Polynomials
Operations with Polynomials

Equations

Graphing Equations
Solving Linear Equations
Analyzing the Number of Solutions
Radical Equations
Rational Equations
Variations
Applications of Linear Equations

Functions and Relations

Introduction to Functions
Evaluating Functions
Domain and Range
Features of Function Graphs
Transformations of Function Graphs
Inverse Functions
Sequences

Inequalities and Absolute Value

Translating Inequalities
Solving Inequalities
Graphing Inequalities
Absolute Value

Systems of Equations and Inequalities

Modeling
Solving Systems of Linear Equations
Graph Systems of Linear Inequalities
Introduction to Systems

Quadratic Equations

Introduction to Parabolas
Graphing Quadratic Functions
Applications of Quadratic Equations
Identify and Solve Quadratic Equations

Exponential Functions

Exponential Functions
Modeling with Exponential Functions

Probability and Data Analysis

Probability
Surveys and Sampling
Permutations and Combinations
Measures of Central Tendency
Displaying Data

Geometry

Real-world Problems
Two-Way Table
Compound Events
Conditional Probability
Dependent & Independent Events
Sample Spaces & Events
Sets
Terms & Definitions
3D Shapes & Nets
Lines & Angles
Coordinate Grid
Area & Perimeter
Volume
Pythagorean Theorem
Construction of Triangles
Introduction to Transformations
Introduction to Congruent & Similar Images
Identifying Transformations
Sequences of Transformations
Dilation
Rotation
Reflection
Translation
Geometric Constructions
Geometric Theorems
Congruent Triangles
Congruence & Transformations
Similar Triangles
Similarity & Transformations
Theorems on Similarity
Problems involving Right Triangles
Trigonometry in General Triangles
Trigonometric Ratios
Right Triangle Ratios
Special Right Triangles
Arcs
Radians & Degrees
Terms & Definitions
Area of a Sector
Theorems: Inscribed & Circumscribed Angles & Shapes
Theorems: Tangents
Constructions
Application of Circle Theorems in the Real-world
Dividing Line Segments
Midpoint Formula
Distance Formula
Parallel and Perpendicular Lines
Equation of a Parabola
Equation of a Hyperbola
Equation of an Ellipse
Equations of a Circle
Cavalieri’s Principle & Dissection Arguments
Relationships between 2D & 3D Objects
Density of 3D Shapes
Surface Area of 3D Shapes
Geometric Methods to Solve Design Problems
Volume of 3D Shapes

Geometry Foundations

Terms & Definitions
3D Shapes & Nets
Lines & Angles
Coordinate Grid
Area & Perimeter
Volume
Pythagorean Theorem
Construction of Triangles
Introduction to Transformations
Introduction to Congruent & Similar Images

Transformation

Identifying Transformations
Sequences of Transformations
Dilation
Rotation
Reflection
Translation

Congruence

Geometric Constructions
Geometric Theorems
Congruent Triangles
Congruence & Transformations

Similarity

Similar Triangles
Similarity & Transformations
Theorems on Similarity

Right Triangles and Trigonometry

Problems involving Right Triangles
Trigonometry in General Triangles
Trigonometric Ratios
Right Triangle Ratios
Special Right Triangles

Circles

Arcs
Radians & Degrees
Terms & Definitions
Area of a Sector
Theorems: Inscribed & Circumscribed Angles & Shapes
Theorems: Tangents
Constructions
Application of Circle Theorems in the Real-world

Analytical Geometry

Dividing Line Segments
Midpoint Formula
Distance Formula
Parallel and Perpendicular Lines

Conic Sections

Equation of a Parabola
Equation of a Hyperbola
Equation of an Ellipse
Equations of a Circle

Solid Geometry

Cavalieri’s Principle & Dissection Arguments
Relationships between 2D & 3D Objects
Density of 3D Shapes
Surface Area of 3D Shapes
Geometric Methods to Solve Design Problems
Volume of 3D Shapes

Statistics

Evaluate Outcomes
Expected Values
Independent and Dependent Events
Binomial Probability
Permutations and Combinations
Multiplication Rule
Addition Rule
Conditional Probability
Events and Outcomes
Real-world Application
Sample Surveys
Random Processes
Correlation Coefficient
Intercept of Linear Model
Slope of Linear Model
Function to Represent Data
Scatter Plot
Categorical Data
Comparing Data
Outliers
Plotting Data
Slope and Intercept
Probability
Random Sampling
Measures of Variability
Data Display
Data and Variability

Statistics & Probability Foundation

Slope and Intercept
Probability
Random Sampling
Measures of Variability
Data Display
Data and Variability

Understanding Data

Function to Represent Data
Scatter Plot
Categorical Data
Comparing Data
Outliers
Plotting Data

Linear Models

Correlation Coefficient
Intercept of Linear Model
Slope of Linear Model

Sample and Surveys

Real-world Application
Sample Surveys
Random Processes

Understanding Probability

Independent and Dependent Events
Binomial Probability
Permutations and Combinations
Multiplication Rule
Addition Rule
Conditional Probability
Events and Outcomes

Probability & Decision Making

Evaluate Outcomes
Expected Values

Algebra 2

Probability
Drawing Conclusions
Interpreting Data
Trigonometric Identities for Algebra 2 – Trigonometry Thinkster Math
Model using Trigonometry
Trigonometric Functions
System of Equations
Solving Equations
Creating Equations
Inverse Functions
Transformation of Exponential Functions
Transformation of Radical Functions
Transformation of Rational Functions
Graphing Logarithmic Functions
Graphing Radical Functions
Comparing Functions
Building Functions for Algebra 2 – Functions – Thinkster Math
Solving Logarithmic Equations
Changing the Base of Logarithms
Properties of Logarithms
Relationship between Exponentials & Logarithms
Constant e
Evaluating Logarithms
Natural Logarithms
Rate of Change
Interpreting Models
Identify Exponential Models
Exponential Equations
Radical Equations
Evaluating Radical Expressions
Properties of Rational Exponents
Rational Exponents and Radicals
Complex Solutions
Complex Plane – Algebra 2 – Complex Numbers Thinkster Math
Polynomial Identities and Equations
Arithmetic Operations
Meaning of i in Algebra – Complex Numbers – Thinkster Math
Sum of Geometric Series
Understand Geometric Sequence
Sum of Arithmetic Series
Understand Arithmetic Sequences
Factor using Identities
Factor using Structure
Greatest Common Factor
Rate of Change
Polynomial Identities
Graphs
Zeros and Factors of Polynomials
Special Products
Arithmetic Operations
Two Variable Systems of Equations and Inequalities
Solving and Graphing Absolute Value Inequalities
Solving and Graphing Absolute Value Equations
Solving and Graphing Inequalities
Solving and Graphing Equations
Creating Equations and Inequalities
Functions
Polynomials
Expressions

Basic Concepts of Algebra

Two Variable Systems of Equations and Inequalities
Solving and Graphing Absolute Value Inequalities
Solving and Graphing Absolute Value Equations
Solving and Graphing Inequalities
Solving and Graphing Equations
Creating Equations and Inequalities
Functions
Polynomials
Expressions

Polynomial Operations and Graphs

Rate of Change
Polynomial Identities
Graphs
Zeros and Factors of Polynomials
Special Products
Arithmetic Operations

Factorization of Polynomials

Factor using Identities
Factor using Structure
Greatest Common Factor

Sequences and Series

Sum of Geometric Series
Understand Geometric Sequence
Sum of Arithmetic Series
Understand Arithmetic Sequences

Complex Numbers

Complex Solutions
Complex Plane – Algebra 2 – Complex Numbers Thinkster Math
Polynomial Identities and Equations
Arithmetic Operations
Meaning of i in Algebra – Complex Numbers – Thinkster Math

Exponents and Radicals

Exponential Equations
Radical Equations
Evaluating Radical Expressions
Properties of Rational Exponents
Rational Exponents and Radicals

Exponential Models

Rate of Change
Interpreting Models
Identify Exponential Models

Logarithms

Solving Logarithmic Equations
Changing the Base of Logarithms
Properties of Logarithms
Relationship between Exponentials & Logarithms
Constant e
Evaluating Logarithms
Natural Logarithms

Functions

Inverse Functions
Transformation of Exponential Functions
Transformation of Radical Functions
Transformation of Rational Functions
Graphing Logarithmic Functions
Graphing Radical Functions
Comparing Functions
Building Functions for Algebra 2 – Functions – Thinkster Math

Equations

System of Equations
Solving Equations
Creating Equations

Trigonometry

Trigonometric Identities for Algebra 2 – Trigonometry Thinkster Math
Model using Trigonometry
Trigonometric Functions

Statistics and Probability

Probability
Drawing Conclusions
Interpreting Data

Trigonometry

Addition and Subtraction Formulas
Pythagorean Identity
Inverse Functions
Amplitude, Frequency, and Midline
Symmetry and Periodicity
Special Angles
Unit Circles
Radians & Degrees
Problems on Non-right Triangles
Laws of Cosines
Laws of Sines
Area of Triangle
Word Problems on Right Triangles
Complementary Angles
Reciprocal Trigonometric Ratios
Trigonometric Ratios
Pythagorean Theorem
Similar Right Triangles
Right Triangles

Trigonometry Foundations

Word Problems on Right Triangles
Complementary Angles
Reciprocal Trigonometric Ratios
Trigonometric Ratios
Pythagorean Theorem
Similar Right Triangles
Right Triangles

General Triangles

Problems on Non-right Triangles
Laws of Cosines
Laws of Sines
Area of Triangle

Trigonometric Functions

Inverse Functions
Amplitude, Frequency, and Midline
Symmetry and Periodicity
Special Angles
Unit Circles
Radians & Degrees

Trigonometric Identities

Addition and Subtraction Formulas
Pythagorean Identity

Conditional Probability

Real-world Problems
Two-Way Table
Compound Events
Conditional Probability
Dependent & Independent Events
Sample Spaces & Events
Sets

Precalculus

Exponential Models
Ellipse & Hyperbola
Binomial Probability
Permutations and Combinations
Multiplication Rule
Addition Rule
Conditional Probability
Independent and Dependent Events
Events and Outcomes
Parabola
Circle
Equivalent Functions
Rate of Change
Graphs & Tables
Limits
Domain & Range
Writing Functions
Geometric Series
Arithmetic Series
Explicit Expression
Binomial Theorem
Graphs of Functions
Inverse Relationship
Graphs of Polynomials
Operations on Polynomials
Rewrite Expressions
Zeros of Polynomials
Remainder Theorem
Polynomial Identities & Equations
Complex Plane – Precalc – Complex Numbers Thinkster Math
Conjugate of Complex Numbers
Operations on Complex Numbers
Meaning of i in PreCalculus – Complex Numbers – Thinkster Math
Operations on Vectors
Word Problems on Vectors
Components of a Vector
Meaning of Vector
Determinant
Operations on Matrices
Inverse Matrices
Matrix Equation
Laws of Sines & Cosines
Area formulas
Trigonometric Identities for Calculus – Trigonometry Thinkster Math
Inverse Trigonometric Functions
Symmetry & Periodicity
Special Right Triangles
Unit Circle
Radian
Period, Midline & Amplitude
Graphs
Inverse of a Function
Transformations
Building Functions for PreCalc – Functions – Thinkster Math

Functions

Graphs
Inverse of a Function
Transformations
Building Functions for PreCalc – Functions – Thinkster Math

Trigonometry

Laws of Sines & Cosines
Area formulas
Trigonometric Identities for Calculus – Trigonometry Thinkster Math
Inverse Trigonometric Functions
Symmetry & Periodicity
Special Right Triangles
Unit Circle
Radian
Period, Midline & Amplitude

Matrices

Determinant
Operations on Matrices
Inverse Matrices
Matrix Equation

Vector

Operations on Vectors
Word Problems on Vectors
Components of a Vector
Meaning of Vector

Complex Numbers

Polynomial Identities & Equations
Complex Plane – Precalc – Complex Numbers Thinkster Math
Conjugate of Complex Numbers
Operations on Complex Numbers
Meaning of i in PreCalculus – Complex Numbers – Thinkster Math

Polynomials

Graphs of Polynomials
Operations on Polynomials
Rewrite Expressions
Zeros of Polynomials
Remainder Theorem

Exponentials & Logarithms

Exponential Models
Graphs of Functions
Inverse Relationship

Series & Sequences

Geometric Series
Arithmetic Series
Explicit Expression
Binomial Theorem

Limits, Continuity & Derivatives

Equivalent Functions
Rate of Change
Graphs & Tables
Limits
Domain & Range
Writing Functions

Conic Sections

Ellipse & Hyperbola
Parabola
Circle

Probability

Binomial Probability
Permutations and Combinations
Multiplication Rule
Addition Rule
Conditional Probability
Independent and Dependent Events
Events and Outcomes

Calculus AB

Euler’s Method
Washer Method
Volume of a Solid
Area under a Curve
Accumulation Functions & Definite Integrals
Position, Velocity, & Acceleration for Calculus – Thinkster Math
Average Value
Exponential Models
Particular Solutions
General Solutions
Slope Fields
Solutions for Differential Equations
Modeling with Differential Equations
Integration by Parts
Long Division & Completing the Square
Integration Using Substitution
Antiderivatives and Indefinite Integrals
Connecting Integral & Differential Calculus
Properties of Definite Integrals
Definite Integral
Riemann Sums
Implicit Relations
Optimization
Connecting First & Second Derivatives
Graphs of Functions
L’Hopital’s Rule
Points of Inflection
Approximating Values of a Function
Mean Value Theorem
Increasing & Decreasing Functions
Extreme Value Theorem
Related Rates
Rates of Change
Position, Velocity, & Acceleration for Integrals – Thinkster Math
Meaning of a Derivative in Context
Inverse Function
Higher Order Derivatives
Implicit Differentiation
Trigonometric Functions
Transcendental Functions
Rules for Differentiation
Intermediate and Mean Value Theorem
Differentiability & Continuity
Meaning of Derivatives
Application of Limits
Limits at Infinity
Infinite Limits
Continuity
Limits from Tables
Limits from Graphs
Squeeze Theorem
Algebraic Manipulation
Direct Substitution
Properties of Limits
Meaning of Limits

Limits & Continuity

Application of Limits
Limits at Infinity
Infinite Limits
Continuity
Limits from Tables
Limits from Graphs
Squeeze Theorem
Algebraic Manipulation
Direct Substitution
Properties of Limits
Meaning of Limits

Derivatives

Inverse Function
Higher Order Derivatives
Implicit Differentiation
Trigonometric Functions
Transcendental Functions
Rules for Differentiation
Intermediate and Mean Value Theorem
Differentiability & Continuity
Meaning of Derivatives

Applications of Derivatives

Implicit Relations
Optimization
Connecting First & Second Derivatives
Graphs of Functions
L’Hopital’s Rule
Points of Inflection
Approximating Values of a Function
Mean Value Theorem
Increasing & Decreasing Functions
Extreme Value Theorem
Related Rates
Rates of Change
Position, Velocity, & Acceleration for Integrals – Thinkster Math
Meaning of a Derivative in Context

Definite Integral

Integration by Parts
Long Division & Completing the Square
Integration Using Substitution
Antiderivatives and Indefinite Integrals
Connecting Integral & Differential Calculus
Properties of Definite Integrals
Definite Integral
Riemann Sums

Differential Equations

Euler’s Method
Exponential Models
Particular Solutions
General Solutions
Slope Fields
Solutions for Differential Equations
Modeling with Differential Equations

Applications of Integrals

Washer Method
Volume of a Solid
Area under a Curve
Accumulation Functions & Definite Integrals
Position, Velocity, & Acceleration for Calculus – Thinkster Math
Average Value

Calculus BC

Power Series
Taylor & Maclaurin Series
Radius & Interval of Convergence
Lagrange Error Bound
Taylor Polynomial
Alternating Series
Conditional Convergence
Ratio Test for Convergence
Alternating Series Test for Convergence
Comparison Tests for Convergence
Harmonic Series and p-Series
Test for Convergence
Test for Divergence
Geometric Series
Convergent & Divergent Infinite Series
Area Problems
Differentiating in Polar Form
Motion Problems
Integrating Vector-Valued Functions
Differentiating Vector-Valued Functions
Arc Length of Curves
Second Derivatives
Differentiating Parametric Equations
Planar Curve
Logistic Models
Improper Integrals
Linear Partial Fractions
Disc Method

Definite Integral

Improper Integrals
Linear Partial Fractions

Differential Equations

Logistic Models

Applications of Integrals

Planar Curve
Disc Method

Parametric Equations

Arc Length of Curves
Second Derivatives
Differentiating Parametric Equations

Vector-Valued Functions

Motion Problems
Integrating Vector-Valued Functions
Differentiating Vector-Valued Functions

Polar Coordinates

Area Problems
Differentiating in Polar Form

Infinite Sequences and Series

Power Series
Taylor & Maclaurin Series
Radius & Interval of Convergence
Lagrange Error Bound
Taylor Polynomial
Alternating Series
Conditional Convergence
Ratio Test for Convergence
Alternating Series Test for Convergence
Comparison Tests for Convergence
Harmonic Series and p-Series
Test for Convergence
Test for Divergence
Geometric Series
Convergent & Divergent Infinite Series

Pre-Algebra

Comparing Data Displays
Mean Absolute Deviation
Range and Interquartile Range
Mean, Median, & Mode
Data Display
Statistical Questions
Nets and Surface Area
Perimeter & Area of Polygons on Coordinate Plane
Polygons on the Coordinate Plane
Volume of Right Rectangular Prisms
Area of Polygons – Composition and Decomposition
Area of Triangles
Area of Special Quadrilaterals
Applications of Inequalities
Solutions of Inequalities on Number Line
Solving One-Variable Inequalities
Understanding Inequalities
Patterns
Solving Linear Equations
Dependent and Independent Variables
Equivalent Expressions
Algebraic Expressions
Expressions with Exponents
Simplifying Variable Expressions
Variables and Constants
Scientific Notation
Square Roots & Cube Roots
Properties of Exponents
Greatest Common Factor
Least Common Multiple
Operations on Multi-Digit Decimals
Dividing Multi-Digit Numbers
Dividing Fractions
Ratio and Measurement Units
Fraction as a Percent
Percent and Rates per 100
Proportions
Equivalent Ratios and Comparing Ratios
Unit Rate
Ratios
Properties of Numbers
Order of Operations
Rounding and Estimating
Place Value
Multiplication & Division
Addition & Subtraction
Integers and Absolute Value
Irrational Numbers
Coordinate Plane
Absolute Value
Comparing and Ordering Rational Numbers
Number Line
Positive and Negative Numbers

Rational & Irrational Numbers

Irrational Numbers
Coordinate Plane
Absolute Value
Comparing and Ordering Rational Numbers
Number Line
Positive and Negative Numbers

Integers

Multiplication & Division
Addition & Subtraction
Integers and Absolute Value

Basic Arithmetic Properties

Properties of Numbers
Order of Operations
Rounding and Estimating
Place Value

Ratios, Rate, Percent, and Proportions

Ratio and Measurement Units
Fraction as a Percent
Percent and Rates per 100
Proportions
Equivalent Ratios and Comparing Ratios
Unit Rate
Ratios

Operations on Fractions and Decimals

Greatest Common Factor
Least Common Multiple
Operations on Multi-Digit Decimals
Dividing Multi-Digit Numbers
Dividing Fractions

Exponents, Radicals, & Scientific Notations

Scientific Notation
Square Roots & Cube Roots
Properties of Exponents

Expressions and Equations

Patterns
Solving Linear Equations
Dependent and Independent Variables
Equivalent Expressions
Algebraic Expressions
Expressions with Exponents
Simplifying Variable Expressions
Variables and Constants

Inequalities

Applications of Inequalities
Solutions of Inequalities on Number Line
Solving One-Variable Inequalities
Understanding Inequalities

Geometry

Nets and Surface Area
Perimeter & Area of Polygons on Coordinate Plane
Polygons on the Coordinate Plane
Volume of Right Rectangular Prisms
Area of Polygons – Composition and Decomposition
Area of Triangles
Area of Special Quadrilaterals

Data Displays

Comparing Data Displays
Mean Absolute Deviation
Range and Interquartile Range
Mean, Median, & Mode
Data Display
Statistical Questions