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Algebra

Algebraic Expressions

Manipulating Expressions

Applying Properties Of Operations

Factoring Expressions

Generating Equivalent Expressions

Simplifying Algebraic Expressions

Applying Properties Of Operations To Add And/or Subtract Linear Expressions

Applying Properties Of Operations To Expand And/or Factor Linear Expressions

Simplifying Expressions

Simplifying Algebraic Expressions

Understanding Expressions

Evaluating Expressions

Identifying Parts Of Expressions

Solving Multi-step Problems With Rational Numbers

Translating Verbal Descriptions To Expressions

Understanding Expressions & Quantity Relations

Writing And Evaluating Expressions

Writing, Reading, And Evaluating Algebraic Expressions

Writing Expressions In Different Forms To Demonstrate How The Quantities Are Related

Writing, Reading, And Evaluating Algebraic Expressions

Writing Expressions In Different Forms To Demonstrate How The Quantities Are Related

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 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

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

Linear Equations (two Variables)

Systems Of Linear Equations

Solving Pairs Of Linear Equations In Two Variables

Solving System Of Equations

System Of Equations Word Problems

Understanding Solutions To Linear Equations In Two Variables

Understanding Pairs Of Linear Equations In Two Variables

Linear Inequalities (one Variable)

Applications Of Inequalities

Solving/interpreting Linear Inequalities In One Variable

Solving And/or Interpreting Compound Inequalities

Solving And/or Interpreting Inequalities (px + Q ≤ R Or Px + Q ≥ R Forms)

Solving Real-world Problems Involving Multi-step Linear Inequalities In One Variable

Solving Inequalities

Framing/solving Inequalities

One And Two Step Inequalities

Framing/writing Linear Inequalities In One Variable

Framing Compound Inequalities In The Context Of Different Problems

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

Solving/interpreting Linear Inequalities In One Variable

Understanding And Representing Inequalities

Framing/writing Linear Inequalities In One Variable

Framing Compound Inequalities In The Context Of Different Problems

Framing Inequalities (px + Q ≤ R Or Px + Q ≥ R Forms) In The Context Of Different Problems

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

Representing Solutions Of Compound Inequalities On Number Lines

Representing Solutions Of Inequalities (px + Q ≤ R Or Px + Q ≥ R Forms) On Number Lines

Linear Inequalities (two Variables)

Understanding Linear Inequalities In Two Variables

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

Numerical Expressions

Exponents

Evaluating Expressions With Whole Number Exponents

Writing Expressions With Whole Number Exponents

Order Of Operations

Evaluating Numerical Expressions With Multiple Operations

Interpreting Numerical Expressions

Using Parentheses, Brackets, And Braces

Problem Solving

Evaluating The Reasonableness Of Answers

Using Mental Computation And Estimation Strategies

Roots

Applying Roots

Solving Problems Involving Cube Roots Of Positive/negative Numbers

Solving Problems Involving Square Roots Of Positive Numbers

Evaluating Roots

Evaluating Cube Roots Of Perfect Cubes

Evaluating Square Roots Of Perfect Squares

Square And Cube Roots

Using Symbols For Solutions To Equations

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

Variable Relationships

Independent And Dependent Variables

Representing Relationships In Graphs

Representing Relationships In Tables

Writing Equations To Express Relationships

Patterns And Relationships

Extending Patterns

Identifying Numerical Patterns

Relating Patterns To Variables

Functions

Geometry

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Number System

Ratios And Proportional Relationships

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Middle School One-variable Equations Passages

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Mathematical Skills - Real-World Applications - Understanding Fractions

6th Grade - 8th Grade

Math

Investigate the significance and applications of fractions in everyday scenarios. Aim to develop skills for applying fractions effectively in areas such as cooking and finance, enhancing practical understanding and computational proficiency.

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1. 2021 survey of 800+ teachers conducted by Wayground

2. Journal of Education and e-Learning Research (Source)

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