7th grade Math | 1 Big School (By Blue Brain)

Course Content

Negative numbers: addition and subtraction

Missing numbers on the number line examples
Intro to adding negative numbers
Adding negative numbers example
Adding numbers with different signs
Intro to subtracting negative numbers
Adding & subtracting negative numbers
Subtracting a negative = adding a positive
Adding & subtracting with negatives on the number line
Adding negative numbers on the number line
Number equations & number lines
Interpreting numeric expressions example
Adding & subtracting integers
Adding numbers with different signs
Addition & subtraction: find the missing value (part 1 of 2)
Addition & subtraction: find the missing value (part 2 of 2)
Adding & subtracting negative fractions
Adding fractions with different signs
Adding & subtracting fractions
Addition & subtraction word problems with negatives
Interpreting negative number statements
Negative number word problem: temperatures
Negative number word problem: Alaska
Absolute value
Absolute value as distance between numbers
Interpreting absolute value as distance
Properties of addition & subtraction
Equivalent expressions with negative numbers
Adding & subtracting negative numbers: variables
Substitution with negative numbers
Ordering expressions

Negative numbers: multiplication and division

Multiply & divide negative numbers
Multiplying positive & negative numbers
Dividing positive and negative numbers
Why a negative times a negative is a positive
Why a negative times a negative makes sense
Multiplication & division word problems with negatives
Interpreting multiplication & division of negative numbers
Understanding multiplying and dividing fractions
Negative signs in fractions
Expressions with rational numbers
Multiply & divide negative fractions
Multiplying positive and negative fractions
Dividing negative fractions
Dividing mixed numbers
Order of operations
Intro to order of operations
Worked example: Order of operations (PEMDAS)
Order of operations example
Properties of multiplication & division
Equivalent expressions with negative numbers (multiplication and division)
Converting fractions to decimals
Rewriting decimals as fractions: 2.75
Worked example: Converting a fraction (7/8) to a decimal
Fraction to decimal: 11/25
Fraction to decimal with rounding

Fractions, decimals, & percentages

Adding & subtracting rational numbers
Comparing rational numbers
Adding & subtracting rational numbers: 79% – 79.1 – 58 1/10
Adding & subtracting rational numbers: 0.79 – 4/3 – 1/2 + 150%
Percent word problems
Solving percent problems
Percent word problem: magic club
Percent word problems: tax and discount
Percent word problem: guavas
Rational number word problem: computers
Rational number word problem: stock
Rational number word problem: checking account
Rational number word problems
Rational number word problem: school report
Rational number word problem: cosmetics
Rational number word problem: cab
Rational number word problem: ice
Rate problems with fractions
Rates with fractions
Constant of proportionality
Introduction to proportional relationships
Identifying constant of proportionality graphically
Constant of proportionality from graph
Identifying the constant of proportionality from equation
Constant of proportionality from equation
Constant of proportionality from tables
Constant of proportionality from table (with equations)

Rates & proportional relationships

Compare and interpret constants of proportionality
Comparing constants of proportionality
Comparing proportionality constants
Interpret proportionality constants
Identifying proportional relationships
Intro to proportional relationships
Proportional relationships: movie tickets
Proportional relationships: bananas
Proportional relationships: spaghetti
Proportional relationships
Is side length & area proportional?
Is side length & perimeter proportional?
Graphs of proportional relationships
Identifying proportional relationships from graphs
Proportional relationships: graphs
Interpreting graphs of proportional relationships
Writing & solving proportions
Worked example: Solving proportions
Writing proportions example
Proportion word problem: cookies
Proportion word problem: hot dogs
Equations of proportional relationships
Equations for proportional relationships
Writing proportional equations from tables
Writing proportional equations
Combining like terms
Intro to combining like terms
Simplifying expressions
Combining like terms challenge problem
The distributive property & equivalent expressions
The distributive property with variables
Factoring with the distributive property
Equivalent expressions: negative numbers & distribution
Interpreting linear expressions
Interpreting linear expressions: diamonds
Interpreting linear expressions: flowers
Writing expressions word problems

Expressions, equations, & inequalities

Two-step equations intro
Same thing to both sides of equations
Intro to two-step equations
Two-step equations intuition
Worked example: two-step equations
Two-step equations with decimals and fractions
Two-step equations with decimals and fractions
Two-step equations with decimals and fractions
Find the mistake: two-step equations
Two-step equation word problems
Equation word problem: super yoga (1 of 2)
Equation word problem: super yoga (2 of 2)
Two-step equation word problem: computers
Two-step equation word problem: garden
Two-step equation word problem: oranges
One-step inequalities
Plotting inequalities
Testing solutions to inequalities
One-step inequalities examples
One-step inequalities: -5c ≤ 15
One-step inequality word problem
Two-step inequalities
Two-step inequalities
Two-step inequality word problem: apples
Two-step inequality word problem: R&B
Area and circumference of circles
Radius, diameter, circumference & π
Labeling parts of a circle
Radius & diameter from circumference
Relating circumference and area
Area of a circle
Partial circle area and arc length
Area and circumference challenge problems
Finding circumference of a circle when given the area
Area of a shaded region
Impact of increasing the radius
Vertical, complementary, and supplementary angles
Angles: introduction
Complementary & supplementary angles
Vertical angles
Missing angle problems
Find measure of vertical angles
Find measure of angles word problem
Equation practice with complementary angles
Equation practice with supplementary angles
Equation practice with vertical angles

Geometry

Constructing triangles
Construct a right isosceles triangle
Construct a triangle with constraints
Triangle inequality theorem
Slicing geometric shapes
Slicing a rectangular pyramid
Scale copies
Exploring scale copies
Identifying corresponding parts of scaled copies
Corresponding points and sides of scaled shapes
Identifying scale copies
Identifying scale factor in drawings
Interpreting scale factors in drawings
Identifying values in scale copies
Scale drawings
Scale drawings
Scale drawing: centimeters to kilometers
Interpreting a scale drawing
Creating scale drawings
Making a scale drawing
Scale factors and area
Solving a scale drawing word problem
Volume and surface area word problems
Volume word problem: gold ring
Volume of triangular prism & cube
Volume of rectangles inside rectangles
Basic probability
Intro to theoretical probability
Simple probability: yellow marble
Simple probability: non-blue marble
Experimental probability
Intuitive sense of probabilities
Probability models
Theoretical and experimental probabilities
Making predictions with probability
Probability models example: frozen yogurt
Compound events and sample spaces
Sample spaces for compound events
Die rolling probability
Probability of a compound event
Counting outcomes: flower pots
Count outcomes using tree diagram
Comparing and sampling populations
Reasonable samples
Comparing distributions with dot plots (example problem)

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Course Content

Negative numbers: addition and subtraction

Missing numbers on the number line examples

Intro to adding negative numbers

Adding negative numbers example

Adding numbers with different signs

Intro to subtracting negative numbers

Adding & subtracting negative numbers

Subtracting a negative = adding a positive

Adding & subtracting with negatives on the number line

Adding negative numbers on the number line

Number equations & number lines

Interpreting numeric expressions example

Adding & subtracting integers

Adding numbers with different signs

Addition & subtraction: find the missing value (part 1 of 2)

Addition & subtraction: find the missing value (part 2 of 2)

Adding & subtracting negative fractions

Adding fractions with different signs

Adding & subtracting fractions

Addition & subtraction word problems with negatives

Interpreting negative number statements

Negative number word problem: temperatures

Negative number word problem: Alaska

Absolute value

Absolute value as distance between numbers

Interpreting absolute value as distance

Properties of addition & subtraction

Equivalent expressions with negative numbers

Adding & subtracting negative numbers: variables

Substitution with negative numbers

Ordering expressions

Negative numbers: multiplication and division

Multiply & divide negative numbers

Multiplying positive & negative numbers

Dividing positive and negative numbers

Why a negative times a negative is a positive

Why a negative times a negative makes sense

Multiplication & division word problems with negatives

Interpreting multiplication & division of negative numbers

Understanding multiplying and dividing fractions

Negative signs in fractions

Expressions with rational numbers

Multiply & divide negative fractions

Multiplying positive and negative fractions

Dividing negative fractions

Dividing mixed numbers

Order of operations

Intro to order of operations

Worked example: Order of operations (PEMDAS)

Order of operations example

Properties of multiplication & division

Equivalent expressions with negative numbers (multiplication and division)

Converting fractions to decimals

Rewriting decimals as fractions: 2.75

Worked example: Converting a fraction (7/8) to a decimal

Fraction to decimal: 11/25

Fraction to decimal with rounding

Fractions, decimals, & percentages

Adding & subtracting rational numbers

Comparing rational numbers

Adding & subtracting rational numbers: 79% – 79.1 – 58 1/10

Adding & subtracting rational numbers: 0.79 – 4/3 – 1/2 + 150%

Percent word problems

Solving percent problems

Percent word problem: magic club

Percent word problems: tax and discount

Percent word problem: guavas

Rational number word problem: computers

Rational number word problem: stock

Rational number word problem: checking account

Rational number word problems

Rational number word problem: school report

Rational number word problem: cosmetics

Rational number word problem: cab

Rational number word problem: ice

Rate problems with fractions

Rates with fractions

Constant of proportionality

Introduction to proportional relationships