Learn 7th grade math | Tutorela

Explore all the essential math subjects for 7th grade. From basic arithmetic to geometry, our comprehensive resources will help you learn each topic. Start your 7th grade math journey today with detailed lessons and practice exercise.

The Order of Operations

Order or Hierarchy of Operations with Fractions Order of Operations with Parentheses Neutral Element (Identiy Element) The Numbers 0 and 1 in Operations Division and Fraction Bars (Vinculum) Order of Operations: Roots Order of Operations: Exponents The Order of Basic Operations: Addition, Subtraction, and Multiplication

Exponents and the Base of the Exponents

Exponents and Roots - Basic

The exponent of a power Basis of a power Exponents of Negative Numbers Zero Exponent Rule Negative Exponents Exponents - Special Cases Prime Factorization with Exponents Exponents and Exponent rules Square Root of a Negative Number What is a square root?

Powers and Roots - Basic

A - How we will identify the exponent

Exponents and Exponent rules

The exponent of a power Basis of a power Exponents of Negative Numbers Zero Exponent Rule Negative Exponents Exponents - Special Cases Prime Factorization with Exponents

A - The concept of square root refers to the inverse operation of squaring numbers

What is a square root?

Square Root of a Negative Number

A1 - Side, Angle, Vertex

Sides, Vertices, and Angles

The Sum of the Interior Angles of a Triangle Sum of Angles in a Polygon Sum and Difference of Angles Plane angle Obtuse Angle Acute Angles Right angle Types of Angles Angle Bisector Angle Notation

2 angles equal to 1

Sum and Difference of Angles

The Sum of the Interior Angles of a Triangle Sum of Angles in a Polygon

Angles are created at the intersection between two lines

Types of Angles

Plane angle Obtuse Angle Acute Angles Right angle

Angles

Exterior angles of a triangle

Negative and Positive integers

Integers

Real line or Numerical line Positive and negative numbers and zero Integer powering Multiplicative Inverse Multiplication and Division of Real Numbers Addition and Subtraction of Real Numbers Elimination of Parentheses in Real Numbers Opposite numbers

A1 - Positive and negative numbers and zero

Positive and negative numbers and zero

Real line or Numerical line

What are parallel lines

Parallel lines

Adjacent angles Vertically Opposite Angles Collateral angles Corresponding angles Alternate angles Angles In Parallel Lines Proving Parallel Lines

A1 -Angles In Parallel Lines

Angles In Parallel Lines

Adjacent angles Vertically Opposite Angles Collateral angles Corresponding angles Alternate angles

Parallel and Perpendicular Lines

Perpendicular Lines

Commutative, Distributive and Associative Properties

The commutative properties of addition and multiplication, and the distributive property

A - The commutative property

The commutative property

The Commutative Property of Multiplication The Commutative Property of Addition

A - What is the distributive property

The Distributive Property

The Distributive Property in the Case of Multiplication The Distributive Property of Division The Distributive Property for Seventh Graders

A - The Distributive Property for Seventh Graders

The Distributive Property for Seventh Graders

The Distributive Property in the Case of Multiplication The Distributive Property of Division

A - The Associative Property

The Associative Property

The Associative Property of Multiplication The Associative Property of Addition

Advanced Arithmetic Operations

Division of Whole Numbers with Multiplication in Parentheses Subtracting Whole Numbers with Subtraction in Parentheses Division of Whole Numbers Within Parentheses Involving Division Subtracting Whole Numbers with Addition in Parentheses The Distributive Property in the Case of Multiplication The Distributive Property of Division The Distributive Property for Seventh Graders The Distributive Property The Associative Property of Multiplication The Associative Property of Addition The Associative Property The Commutative Property of Multiplication The Commutative Property of Addition The commutative property

Variables in Algebraic Expressions

Simplifying Expressions (Collecting Like Terms) Multiplication of Algebraic Expressions Equivalent Equations Equivalent Expressions Transposition of terms and domain of equations of one unknown. The Numerical Value in Algebraic Expressions

Equivalent Expressions

Simplifying Expressions (Collecting Like Terms) Multiplication of Algebraic Expressions Equivalent Equations

Domain of a Function

Inputing Values into a Function Indefinite integral

Triangle

Perimeter of a triangle Area of Equilateral Triangles Area of a Scalene Triangle Area of Isosceles Triangles Area of a right triangle The Area of a Triangle Isosceles triangle Acute triangle Scalene triangle Identification of an Isosceles Triangle Equilateral triangle Obtuse Triangle Types of Triangles

A - Properties of triangles

Types of Triangles

Isosceles triangle Acute triangle Scalene triangle Identification of an Isosceles Triangle Equilateral triangle Obtuse Triangle

A3 - the general formula for calculating the area of triangles

The Area of a Triangle

Area of Equilateral Triangles Area of a Scalene Triangle Area of Isosceles Triangles Area of a right triangle

Triangle

Area The sides or edges of a triangle Triangle Height Perimeter

B- Properties of a Rectangle

Rectangle

Congruent Rectangles The perimeter of the rectangle Calculating the Area of a Rectangle From a Parallelogram to a Rectangle From a Quadrilateral to a Rectangle

Equations

Solution of an equation Variable Numerical Value What is the unknown of a mathematical equation?

A1 - Parallelogram KLMN

Parallelogram

From the Quadrilateral to the Parallelogram Rotational Symmetry in Parallelograms Identifying a Parallelogram Perimeter of a Parallelogram The area of a parallelogram: what is it and how is it calculated?

Types of Trapezoids

Isosceles Trapezoid

A1 - Characteristics and types of trapezoids

Trapezoids

Isosceles Trapezoid Types of Trapezoids Perimeter of a trapezoid Area of a trapezoid Diagonals of an isosceles trapezoid Symmetry in Trapezoids

3 - Convex Kite

Kite

Area of a Deltoid (Kite)

R - Rhombus

Rhombus, kite, or diamond?

The Area of a Rhombus From Parallelogram to Rhombus Lines of Symmetry in a Rhombus Diagonals of a Rhombus

A1 - First-degree equations with one unknown

First-degree equations with one unknown

Solving Equations by Simplifying Like Terms Solving Equations by Multiplying or Dividing Both Sides by the Same Number Solving Equations by Adding or Subtracting the Same Number from Both Sides Solving Equations Using the Distributive Property

B - What is circumference

Elements of the circumference

How is the radius calculated using its circumference? Radius The Center of a Circle The Circumference of a Circle Tangent to a circle Inscribed angle in a circle Perpendicular to a chord from the center of a circle Arcs in a Circle Central Angle in a Circle Chords of a Circle Distance from a chord to the center of a circle Area of a circle Pi Diameter Circle

examples of circles with different circumferences.

Circle

How is the radius calculated using its circumference? Radius The Center of a Circle The Circumference of a Circle Tangent to a circle Inscribed angle in a circle Perpendicular to a chord from the center of a circle Arcs in a Circle Central Angle in a Circle Chords of a Circle Distance from a chord to the center of a circle Area of a circle Pi Diameter

Radius_of_a_circle.2

Radius

How is the radius calculated using its circumference?

coordinate system image

Coordinate System

A function expresses a relationship between two variables (X and Y)

Functions for Seventh Grade

Notation of a Function Algebraic Representation of a Function Graphical Representation of a Function Representing a Function Verbally and with Tables Ways to Represent a Function Rate of Change of a Function Represented by a Table of Values Variable Rate of Change Constant Rate of Change Rate of change of a function represented graphically Rate of change represented with steps in the graph of the function Variation of a Function Rate of Change of a Function Inputing Values into a Function Indefinite integral Domain of a Function Increasing Intervals of a function Decreasing Interval of a function Constant Function Decreasing function Increasing functions Increasing and Decreasing Intervals (Functions)

Ways to Represent a Function

Notation of a Function Algebraic Representation of a Function Graphical Representation of a Function Representing a Function Verbally and with Tables

Different Types of Rates of Change of a Function

Rate of Change of a Function

Rate of Change of a Function Represented by a Table of Values Variable Rate of Change Constant Rate of Change Rate of change of a function represented graphically Rate of change represented with steps in the graph of the function Variation of a Function

I1 - intervals with colors where the function is increasing and where it is decreasing

Increasing and Decreasing Intervals (Functions)

Increasing Intervals of a function Decreasing Interval of a function Constant Function Decreasing function Increasing functions

three-dimensional figure of a cube

Three-Dimensional Figures

Surface area of triangular prisms The volume of the prism Height of a Prism Lateral Edges of a Prism The lateral faces of the prism Bases of the Right Triangular Prism Right Triangular Prism Lateral surface area of a rectangular prism Parts of a Rectangular Prism How to calculate the volume of a rectangular prism (orthohedron) How to calculate the surface area of a rectangular prism (orthohedron) Cubes Cuboids Cylinder Volume Cylinder Area Cylinder

Structure of a rectangular prism

Cuboids

Lateral surface area of a rectangular prism Parts of a Rectangular Prism How to calculate the volume of a rectangular prism (orthohedron) How to calculate the surface area of a rectangular prism (orthohedron) Cubes

Recurrence Relations

Recurrence Relations

1- What is a Graph

Graphs

Continuous Graph Discrete graph Value Table Reading Graphs

A - Characteristics and vertex_of_a_triangular_prism_straight_prism

Right Triangular Prism

Surface area of triangular prisms The volume of the prism Height of a Prism Lateral Edges of a Prism The lateral faces of the prism Bases of the Right Triangular Prism

A1 - Units of measurement

Units of measurement for 11 and 12 year olds

Units of Volume Surface Area Units or Area Measurements Currency Units Time units Weight units Length units