Comparing Proportional Relationships Represented Graphically

Graphing And/or Comparing Proportional Relationships

Graphing Proportional Relationships

Solving Problems Involving Slopes (including Interpreting Unit Rates)

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

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

Representing Real-world Situations

Solving One-step Equations

Understanding Solution Methods

Representing Real-world Constraints

Solving Simple Inequalities

Writing And Graphing Inequalities

Solving Multi-step Problems Using Linear Equations In One Variable

Understanding Linear Equations In One Variable

Identify Equations With Infinite/no Solution

Solving Multi-step Equations

Two Step Equations

Solving Pairs Of Linear Equations In Two Variables

Solving System Of Equations

Solving/interpreting Linear Inequalities In One Variable

Framing/solving Inequalities

Framing/writing Linear Inequalities In One Variable

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

Solving/interpreting Linear Inequalities In One Variable

Framing/writing Linear Inequalities In One Variable

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

Using Substitution To Determine Whether A Given Pair Of Numbers Makes An Inequality True

Evaluating Expressions With Whole Number Exponents

Writing Expressions With Whole Number Exponents

Evaluating Numerical Expressions With Multiple Operations

Interpreting Numerical Expressions

Using Parentheses, Brackets, And Braces

Evaluating The Reasonableness Of Answers

Using Mental Computation And Estimation Strategies

Solving Problems Involving Cube Roots Of Positive/negative Numbers

Solving Problems Involving Square Roots Of Positive Numbers

Evaluating Cube Roots Of Perfect Cubes

Evaluating Square Roots Of Perfect Squares

Using The Cube Root Symbol For Solutions To Equations Of The Form X^3 = P

Using The Square Root Symbol For Solutions To Equations Of The Form X^2 = P

Representing Relationships In Graphs

Representing Relationships In Tables

Writing Equations To Express Relationships

Extending Patterns

Identifying Numerical Patterns

Relating Patterns To Variables

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

Graphing Functions

Understanding Functions & Their Graphs

Understanding Functions

Interpreting Linear & Non-linear Functions

Modeling & Interpreting Linear Functions

Understanding Linear Functions

Writing And Interpreting Linear Functions

Understanding And Measuring Angles

Solving Equations For Unknown Angles

Solving Problems Involving Angles And Equations

Understanding Triangle Angles & Similarity

Understanding And Measuring Angles

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

Circle Area & Circumference Formulas Usage

Measuring And Estimating Area Of Miscellaneous Shapes

Area Of Irregular Figures

Area Of Quadrilaterals

Area Of Triangles

Drawing And Identifying Geometric Elements

Drawing And Identifying Pairs Of Lines

Naming Geometric Elements

Understanding Key Terms

Understanding Congruence Of 2d Figures

Understanding Congruency

Understanding Similarity

Understanding Similarity In 2d Figures

Understanding Similarity

Constructing Geometric Shapes & Triangles

Decimal Operation Algorithms

Multi-digit Decimal Operations

Distributive Property Applications

Greatest Common Factor And Least Common Multiple

Associative Property

Commutative Property

Distributive Property

Evaluating The Reasonableness Of Answers Using Mental Computation And Estimation Strategies

Solving Mathematical And Real-world Problems Involving All Forms Of Rational Numbers

Solving Mathematical Problems Involving All Forms Of Rational Numbers

Solving Real-world Problems Involving All Forms Of Rational Numbers

Adding And/or Subtracting Two Or More Integers (including Interpreting Sums/differences In Real-world Contexts)

Applying Properties Of Operations As Strategies To Add And Subtract Integers

Calculating The Distance Between Two Integers As The Absolute Value Of Their Difference (including Interpreting Differences In Real-world Contexts)

Describing Situations In Which Opposite Quantities Combine To Make Zero

Understanding The Concept Of Additive Inverses In The Context Of Integers

Understanding The Representation Of P + Q On A Number Line Where P And Q Are Integers

Solving Problems Involving Multiple Operations On Integers

Applying Prior Understanding Of Properties Of Division To Divide Integers (including Interpreting Quotients In Real-world Contexts)

Applying Prior Understanding Of Properties Of Multiplication To Multiply Integers (including Interpreting Products In Real-world Contexts)

Applying Prior Understanding Of Properties Of Operations To Multiply And/or Divide Integers (including Interpreting Products Or Quotient In Real-world Contexts)

Applying Properties Of Operations As Strategies To Multiply And Divide Integers

Adding And/or Subtracting Two Or More Rational Numbers (including Interpreting Sums/differences In Real-world Contexts)

Applying Properties Of Operations As Strategies To Add And Subtract Rational Numbers

Calculating The Distance Between Two Rational Numbers As The Absolute Value Of Their Difference (including Interpreting Differences In Real-world Contexts)

Understanding The Concept Of Additive Inverses In The Context Of Rational Numbers

Understanding The Representation Of P + Q On A Number Line Where P And Q Are Rational Numbers

Evaluating Expressions Involving A Mix Of Addition, Subtraction, Multiplication And/or Division Of Rational Numbers

Solving Mathematical/real-world Problems Involving Multiple Operations On Rational Numbers

Solving Problems Involving Multiple Operations On Rational Numbers

Applying Prior Understanding Of Properties Of Division To Divide Two Rational Numbers (including Interpreting Quotients In Real-world Contexts)

Applying Prior Understanding Of Properties Of Multiplication To Multiply Rational Numbers (including Interpreting Products In Real-world Contexts)

Applying Properties Of Operations As Strategies To Multiply And Divide Rational Numbers

Converting A Rational Number To A Decimal Number Using Division And Vice Versa

Understanding Patterns In The Decimal Form Of A Rational Number (either Terminates In Zeroes Or Eventually Repeats)

Adding/subtracting Rational Numbers

Addition And Subtraction With Rational Numbers

Multiplication And Division With Rational Numbers

Multiplying/dividing Rational Numbers

Order Of Operations

Solving Multi-step Problems With Rational Numbers

Absolute Value

Comparing Rational Numbers

Properties Of Operations

Comparing And Ordering Rational Numbers

Representing Rational Numbers On Number Lines

Understanding Absolute Value Of Rational Numbers

Performing Addition And/or Subtraction With Numbers Expressed In The Scientific Notation

Performing Multiple Operations With Numbers Expressed In The Scientific Notation

Performing Multiple Operations With Numbers Expressed In The Scientific Notation And Solving Real-world Problems.

Performing Multiplication And/or Division With Numbers Expressed In The Scientific Notation

Choosing Units Of Appropriate Size For Measuring Very Large Or Very Small Quantities

Estimating Very Large Or Very Small Quantities Using Scientific Notation

Converting Scientific Notation To Standard Form And Vice Versa

Writing Very Large Or Very Small Quantities Using Scientific Notation

Calculating Percentages

Measurement Conversions

Solving Rate Problems

Calculating Unit Rates

Comparing Ratios

Representing Ratios

Applying Proportional Relationships To Solve Multi-step Problems

Calculating Unit Rates With Fraction Ratios

Solving Multistep Ratio & Percent Problems

Recognising And Representing Proportional Relationships Between Quantities

Representing Proportional Relationships

Understanding Ratio Notation, Rate Language And Unit Rates

Understanding Statistical Variability (qualitative)

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

Interpreting Scatter Plots & Data Patterns

Understanding And Applying Scatter Plots

Identifying And Interpreting Patterns Of Association

Interpreting Associations In Bivariate Categorical Data

Interpreting Data

Organising And Representing Data

Organising And Representing Data

Analyzing Data Displays

Drawing Conclusions From Data

Creating Box Plots

Creating Dot Plots

Creating Histograms

Describing And Understanding Distributions

Estimating Measures Of Variability

Finding Probabilities Of Compound Events

Predicting Probability & Relative Frequency

Probability Model Development & Analysis

Developing And Using Probability Models

Estimating Probabilities Of Compound Events

Developing An Intuitive Understanding Of Probability

Understanding Probability Of Chance Events

Assessing Overlap Of Two Data Distributions

Comparing Data Variability & Center Measures

Drawing Inferences From Random Sample Data

Drawing Comparative Inferences About Two Populations Using Measures Of Central Tendency

Drawing Comparative Inferences About Two Populations Using Measures Of Variability

Estimating Differences Between Populations Using Samples

Understanding Statistics & Representative Sampling

Using Random Sampling To Draw Inferences

Generating Multiple Samples Of The Same Size To Gauge Variation In Predictions

Understanding Representative Samples And The Idea That Examining A Sample Can Lead To Useful Information About The Population

Using Data From A Sample Survey To Estimate A Population Mean Or Proportion

Describing Data Distributions

Measures Of Center And Variation

Recognizing Statistical Questions

Early Chinese Thought

Early History

Science And Technology

The Han Dynasty

The Qin Empire

The Teachings Of Confucius

Religion

The Old Kingdom

The Kingdoms Of Kush

The Gupta Empire

The Indus Civilization

The Mauryan Empire

Early Mesopotamia

Mesopotamian Empires

Alexander The Great

Classical Athens

Comparing Athens And Sparta

Foundations Of Aztec Civilization

Foundations Of Inca Civilization

Foundations Of Maya Civilization

Pre-contact Native Peoples

Achievements And Legacy

Geography And Society

Art And Architecture

Cultural Achievements

Citizenship In Ancient Societies

Early Forms Of Government

Law Codes

Political Structures

Religious Systems

Social Hierarchies

The Neolithic Period

Goods And Ideas

Science And Technology In Early China