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Math

Algebra

Algebraic Expressions

Exponents

Simplifying Exponents

Linear Equations (one Variable)

Applications Of Equations

Solving Multi-step Problems Using 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

Two Step Equations

Linear Equations (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

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

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

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

Basic Geometry

Geometric Elements

Drawing And Identifying Geometric Elements

Drawing And Identifying Pairs Of Lines

Drawing And Identifying Parallel And/or Perpendicular 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

Circle Terminology

Defining Key Terms Related To Circles

Defining Lines And Line Segments Associated With Circles (radius, Diameter, Chord, Secant And Tangent)

Congruency And Similarity

Similar Figures

Understanding Similarity

Establishing The Conditions Necessary For Two Triangles To Be Similar

Identifying Similar Figures

Constructions

Geometric Construction

Constructing Geometric Shapes & Triangles

Coordinate Geometry

Distance On Coordinate Plane

Perimeter

Circumference

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

Describing An Informal Argument For The Formula For The Circumference Of A Circle

Finding The Radius When Given The Diameter And Vice Versa

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

Perimeter Of Similar Figures

Applying Concepts In Similarity To Perimeter

Finding Perimeters Of Similar Polygons

Quadrilaterals

Understanding Quadrilaterals

Shapes

Cross-sections Of 3d Shapes

2d Figures From Slicing 3d Shapes

Reasoning With Three-dimensional Shapes And Their Attributes

Describing The Two-dimensional Figures That Result From Slicing Cones

Describing The Two-dimensional Figures That Result From Slicing Cylinders

Describing The Two-dimensional Figures That Result From Slicing Right Rectangular Prisms

Describing The Two-dimensional Figures That Result From Slicing Right Rectangular Pyramids

Surface Area

3d Figures

Developing An Understanding Of Surface Area

Understanding And Using Nets Made Up Of Triangles, Rectangles And Circles To Represent Three-dimensional Solids

Solving Mathematical And Real-world Problems Involving Surface Area Of Cubes And Cuboids

Solving Mathematical And/or Real-world Problems Involving Surface Area Of Cubes And Cuboids

Solving Mathematical And Real-world Problems Involving Surface Area Of Prisms

Solving Mathematical And/or Real-world Problems Involving Surface Area Of Prisms

Solving Mathematical And Real-world Problems Involving Surface Area Of Pyramids

Solving Mathematical And/or Real-world Problems Involving Surface Area Of Pyramids

Transformations

Scale And Similarity

Performing Transformations

Solving Problems Involving Scaling Of Length And/or Area

Solving Problems With Scale Drawings

Triangles

Triangle Properties

Applying Properties Of Triangles

Applying The Angle Sum Property Of Triangles

Applying The Exterior Angle Property Of Triangles

Understanding Existence Of Triangles

Understanding The Conditions For The Existence Of Triangles (unique Triangle, More Than One Triangle, No Triangle)

Volume

3d Figures

Measuring And Estimating Volume Of Miscellaneous Shapes

Calculating The Volume Of Similar Solids

Measuring And Estimating Volume Of Prisms

Solving Mathematical And/or Real-world Problems Involving Volume Of Prisms

Measuring And Estimating Volume Of Pyramids

Solving Problems Involving Volume Of Pyramids

Solving Area, Volume & Surface Area Problems

Mathematical Practices

Math Puzzles And Logic

Mathematical Communication

Modeling And Tools

Appropriate Tool Selection

Mathematical Models

Technology Use In Mathematics

Problem Solving

Reasoning And Proof

Logical Reasoning

Mathematical Arguments

Pattern Recognition

Number System

Number Properties

Operation Properties

Associative Property

Commutative Property

Distributive Property

Numerical Expressions

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

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

Operations On Integers

Adding And Subtracting Integers

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

Applying Operations On Integers To Solve Mathematical And Real-world Problems

Solving Problems Involving Multiple Operations On Integers

Integer Operations

Multiplying And Dividing 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

Operations On Rational Numbers

Adding And Subtracting Rational Numbers

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

Applying Operations On Rational Numbers To Solve Mathematical And Real-world Problems

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

Multiplying And Dividing 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)

Rational Numbers

Operations With Rational Numbers

Adding/subtracting Rational Numbers

Adding & Subtracting Rational Numbers

Adding Rational Numbers

Additive Inverse

Subtracting Rational Numbers

Multiplying/dividing Rational Numbers

Converting Rational Numbers To Decimals (and Vice Versa)

Dividing Rational Numbers

Multiplying & Dividing Rational Numbers

Multiplying Rational Numbers

Order Of Operations

Properties Of Rational Numbers

Absolute Value

Comparing Rational Numbers

Properties Of Operations

Working With Units

Ratios And Proportional Relationships

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

Unit Rates

Understanding Ratio Notation, Rate Language And Unit Rates

Calculating Unit Rates Associated With Ratios Of Fractions

Statistics And Probability

Basic Statistics

Statistical Questions

Understanding Statistical Variability (qualitative)

Recognising A Statistical Question

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

Frequency Distributions

Describing Distributions

Describing And Understanding Distributions

Comparing Two Or More Distributions In Terms Of Their Shapes

Comparing Two Or More Distributions In Terms Of Their Shapes, Centre And Spread

Describing Any Overall Pattern And Any Striking Deviations From The Overall Pattern With Reference To Context

Relating The Choice Of Measures Of Central Tendency To The Shape Of The Data Distribution And The Context

Relating The Choice Of Measures Of Variability To The Shape Of The Data Distribution And The Context

Measures Of Variability

Estimating Measures Of Variability

Calculating Interquartile Range And Mean Absolute Deviation

Probability

Sampling And Population

Comparing Populations

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

Using The Measures Of Central Tendency Of Random Samples To Draw Comparative Inferences About Two Populations

Drawing Comparative Inferences About Two Populations Using Measures Of Variability

Using The Measures Of Variability Of Random Samples To Draw Comparative Inferences About Two Populations

Estimating Differences Between Populations Using Samples

Assessing The Degree Of Visual Overlap Of Two Numerical Data Distributions With Similar Variabilities

Estimating The Difference Between The Measures Of Central Tendency Of Random Samples

Expressing The Difference Between The Measures Of Central Tendency As A Multiple Of The Measures Of Variability

Random Sampling

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 Random Sample To Draw Inferences About A Population

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

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7th Grade

Math

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Basic Geometry

7th Grade Basic Geometry Passages

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Understanding Proportional Relationships - Circle Geometry

7th Grade

Math

Explore fundamental concepts in geometry with a focus on circle components and proportional relationships. Strengthen understanding of geometrical principles and develop skills in analyzing and applying proportionality.

5th Grade - University

Triangle and Angle Definitions - Properties of Shapes - Geometry

Passage

Triangle and Angle Definitions - Properties of Shapes - Geometry

5th Grade - University

Math

Understand the definitions of triangles and angles, focusing on isosceles triangles and right angles. Develop skills to identify the properties of shapes and calculate related measurements accurately.

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