Algebra basics
Learn the basics of algebra—focused on common mathematical relationships, such as linear relationships.
8 units203 videos17 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Foundations
Negative numbers
Number opposites ✓ Check-ins3:12
Adding numbers with different signs ✓ Check-ins5:32
Adding & subtracting negative numbers ✓ Check-ins ✎ Fixed a slip4:07
Subtracting a negative = adding a positive ✓ Check-ins1:33
Multiplying positive & negative numbers ✓ Check-ins5:34
Why a negative times a negative is a positive ✓ Check-ins5:47
Why a negative times a negative makes sense ✓ Check-ins6:14
Dividing positive and negative numbers ✓ Check-ins4:52
Absolute value
Exponents
Intro to exponents ✓ Check-ins3:03
Exponent example 1 ✓ Check-ins1:15
Exponent example 2 ✓ Check-ins1:55
The 0 & 1st power ✓ Check-ins5:07
Powers of zero ✓ Check-ins3:21
1 and -1 to different powers ✓ Check-ins6:08
Comparing exponent expressions ✓ Check-ins2:09
Exponents of decimals ✓ Check-ins2:31
Evaluating exponent expressions with variables ✓ Check-ins3:01
Square roots
Order of operations
Fractions
Decimals, fractions and percentages
The meaning of percent ✓ Check-ins3:01
Meaning of 109% ✓ Check-ins2:22
Percents from fraction models ✓ Check-ins4:22
Fraction, decimal, and percent from visual model ✓ Check-ins3:33
Worked example: Converting a fraction (7/8) to a decimal ✓ Check-ins2:17
Fraction to decimal with rounding ✓ Check-ins3:15
Rewriting decimals as fractions: 0.36 ✓ Check-ins1:14
Converting decimals to fractions 2 (ex 1) ✓ Check-ins1:14
Finding a percent ✓ Check-ins3:33
Percent of a whole number ✓ Check-ins2:07
Percent word problem: guavas ✓ Check-ins6:18
Percent word problem: recycling cans ✓ Check-ins2:49
Operations with decimals
Adding decimals: 9.087+15.31 ✓ Check-ins2:40
Adding decimals: 0.822+5.65 ✓ Check-ins1:46
Subtracting decimals: 9.57-8.09 ✓ Check-ins1:11
Subtracting decimals: 39.1 - 0.794 ✓ Check-ins2:06
Multiplying decimals example ✓ Check-ins2:52
Multiplying challenging decimals ✓ Check-ins4:25
Dividing decimals with hundredths ✓ Check-ins4:37
Dividing by a multi-digit decimal ✓ Check-ins5:32
Area of triangles
Circumference and area of circles
Unit 2: Algebraic expressions
Introduction to variables
Substitution & evaluating expressions
Writing algebraic expressions
Combining like terms
Distributive property
Equivalent algebraic expressions
Nested fractions
Unit 3: Linear equations and inequalities
One-step equations
Two-steps equations
Intro to two-step equations ✓ Check-ins5:12
Two-step equations intuition ✓ Check-ins8:41
Worked example: two-step equations ✓ Check-ins3:04
Two-step equation word problem: computers ✓ Check-ins4:46
Two-step equation word problem: garden ✓ Check-ins2:02
Two-step equation word problem: oranges ✓ Check-ins5:59
Multi-step equations
One-step inequalities
Two-step inequalities
Multi-step inequalities
Unit 4: Graphing lines and slope
Coordinate plane
Solutions to two-variable linear equations
x-intercepts and y-intercepts
Slope
Horizontal & vertical lines
Slope-intercept form intro
Writing slope-intercept equations
Graphing two-variable inequalities
Unit 5: Systems of equations
Systems of equations intro
Systems of equations: trolls, tolls (1 of 2) ✓ Check-ins6:51
Systems of equations: trolls, tolls (2 of 2) ✓ Check-ins5:41
Testing a solution to a system of equations ✓ Check-ins2:38
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 ✓ Check-ins2:22
Systems of equations with graphing: exact & approximate solutions ✓ Check-ins5:56
Elimination method for systems of equations
Systems of equations with elimination: King's cupcakes ✓ Check-ins9:00
Systems of equations with elimination: x-4y=-18 & -x+3y=11 ✓ Check-ins5:59
Systems of equations with elimination: potato chips ✓ Check-ins9:21
Systems of equations with elimination (and manipulation) ✓ Check-ins12:01
Why can we subtract one equation from the other in a system of equations? ✓ Check-ins8:13
Substitution method for systems of equations
Number of solutions to systems of equations
Systems of equations number of solutions: fruit prices (1 of 2) ✓ Check-ins9:25
Systems of equations number of solutions: fruit prices (2 of 2) ✓ Check-ins7:08
Solutions to systems of equations: consistent vs. inconsistent ✓ Check-ins5:29
Solutions to systems of equations: dependent vs. independent ✓ Check-ins5:10
Number of solutions to a system of equations ✓ Check-ins3:26
Number of solutions to a system of equations graphically ✓ Check-ins6:36
Number of solutions to a system of equations algebraically ✓ Check-ins6:01
How many solutions does a system of linear equations have if there are at least two? ✓ Check-ins2:12
Unit 6: Expressions with exponents
Exponent properties intro
Exponent properties (integer exponents)
Scientific notation intro
Unit 7: Quadratics and polynomials
Adding & subtracting polynomials
Multiplying binomials
Special products of binomials
Factoring polynomials by taking common factors
Factoring quadratics 1
Factoring quadratics 2
Factoring quadratics: Difference of squares
Factoring quadratics: Perfect squares
Factoring perfect squares ✓ Check-ins4:54
Identifying perfect square form ✓ Check-ins4:37
Factoring higher degree polynomials: Common factor ✓ Check-ins3:39
Factoring perfect squares: negative common factor ✓ Check-ins3:52
Factoring perfect squares: missing values ✓ Check-ins2:39
Factoring perfect squares: shared factors ✓ Check-ins4:26
Solving quadratic equations by factoring
Unit 8: Equations and geometry
Equations & geometry
Triangle angles
Pythagorean theorem
Triangle similarity intro
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
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