Pre-algebra
Learn pre-algebra—all of the basic arithmetic and geometry skills needed for algebra.
15 units294 videos22 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Factors and multiples
Factors and multiples
Prime and composite numbers
Unit 2: Patterns
Math patterns
Writing expressions
Unit 3: Ratios and rates
Intro to ratios
Visualize ratios
Equivalent ratios
Ratio application
Unit 4: Percentages
Intro to percents
Visualize percents
Equivalent representations of percent problems
Percent problems
Percent word problems
Unit 5: Exponents intro and order of operations
Meaning of exponents
Powers of whole numbers
Powers of fractions and decimals
Order of operations introduction
Unit 6: Variables & expressions
Parts of algebraic expressions
Substitution & evaluating expressions
Evaluating expressions with multiple variables
Expression value intuition
Evaluating expressions word problems
Writing algebraic expressions introduction
Writing basic algebraic expressions word problems
Distributive property with variables
Combining like terms
Equivalent expressions
Unit 7: Equations & inequalities introduction
Algebraic equations basics
One-step equations intuition
One-step addition & subtraction equations
One-step multiplication and division equations
Finding mistakes in one-step equations
One-step equation word problems
Intro to inequalities with variables
Dependent and independent variables
Analyzing relationships between variables
Unit 8: Percent & rational number word problems
Percent word problems
Rational number word problems
Rational number word problem: school report ✓ Check-ins3:40
Rational number word problem: cosmetics ✓ Check-ins2:25
Rational number word problem: cab ✓ Check-ins2:08
Rational number word problem: ice ✓ Check-ins3:21
Rational number word problem: computers ✓ Check-ins2:33
Rational number word problem: stock ✓ Check-ins4:08
Rational number word problem: checking account ✓ Check-ins3:15
Unit 9: Proportional relationships
Rate problems with fractions
Constant of proportionality
Introduction to proportional relationships ✓ Check-ins5:12
Identifying constant of proportionality graphically ✓ Check-ins4:37
Constant of proportionality from graph ✓ Check-ins1:50
Identifying the constant of proportionality from equation ✓ Check-ins3:51
Constant of proportionality from equation ✓ Check-ins2:23
Constant of proportionality from tables ✓ Check-ins2:34
Constant of proportionality from table (with equations) ✓ Check-ins1:45
Compare and interpret constants of proportionality
Identifying proportional relationships
Intro to proportional relationships ✓ Check-ins3:50
Proportional relationships: movie tickets ✓ Check-ins1:46
Proportional relationships: bananas ✓ Check-ins2:57
Proportional relationships: spaghetti ✓ Check-ins1:03
Proportional relationships ✓ Check-ins4:03
Is side length & area proportional? ✓ Check-ins3:46
Is side length & perimeter proportional? ✓ Check-ins2:39
Graphs of proportional relationships
Writing & solving proportions
Unit 10: One-step and two-step equations & inequalities
Combining like terms
The distributive property & equivalent expressions
Interpreting linear expressions
Two-step equations intro
Two-step equations with decimals and fractions
Two-step equation word problems
One-step inequalities
Unit 11: Roots, exponents, & scientific notation
Square roots & cube roots
Exponent properties intro
Exponent properties (integer exponents)
Working with powers of 10
Scientific notation intro
Arithmetic with numbers in scientific notation
Unit 12: Multi-step equations
Equations with variables on both sides
Equations with parentheses
Number of solutions to equations
Equations word problems
Unit 13: Two-variable equations
Graphing proportional relationships
Rates & proportional relationships example ✓ Check-ins1:25
Rates & proportional relationships: gas mileage ✓ Check-ins3:19
Graphing proportional relationships: unit rate ✓ Check-ins4:31
Graphing proportional relationships from a table ✓ Check-ins1:12
Graphing proportional relationships from an equation ✓ Check-ins3:09
Solutions to linear equations
Intercepts
Slope
Intro to slope ✓ Check-ins6:56
Slope & direction of a line ✓ Check-ins2:35
Positive & negative slope ✓ Check-ins5:02
Worked example: slope from graph ✓ Check-ins4:40
Slope of a line: negative slope ✓ Check-ins4:00
Worked example: slope from two points ✓ Check-ins7:12
Slope from equation ✓ Check-ins6:19
Converting to slope-intercept form ✓ Check-ins5:07
Slope of a horizontal line ✓ Check-ins5:05
Intro to slope-intercept form
Graphing slope-intercept form
Unit 14: Functions and linear models
Functions
What is a function? ✓ Check-ins7:57
Worked example: Evaluating functions from equation ✓ Check-ins0:59
Function notation example ✓ Check-ins2:13
Worked example: Evaluating functions from graph ✓ Check-ins0:44
Equations vs. functions ✓ Check-ins4:18
Manipulating formulas: temperature ✓ Check-ins2:41
Obtaining a function from an equation ✓ Check-ins3:04
Linear models
Linear graphs word problems ✓ Check-ins5:05
Linear graphs word problem: cats ✓ Check-ins2:43
Linear equations word problems: volcano ✓ Check-ins5:58
Linear equations word problems: earnings ✓ Check-ins4:03
Modeling with linear equations: snow ✓ Check-ins4:58
Linear function example: spending money ✓ Check-ins5:22
Fitting a line to data ✓ Check-ins7:48
Comparing linear functions
Comparing linear functions: equation vs. graph ✓ Check-ins2:23
Comparing linear functions: same rate of change ✓ Check-ins2:36
Comparing linear functions: faster rate of change ✓ Check-ins3:40
Comparing linear functions word problem: climb ✓ Check-ins4:44
Comparing linear functions word problem: walk ✓ Check-ins3:44
Comparing linear functions word problem: work ✓ Check-ins3:46
Constructing linear models for real-world relationships
Recognizing functions
Testing if a relationship is a function ✓ Check-ins2:23
Relations and functions ✓ Check-ins6:57
Recognizing functions from graph ✓ Check-ins4:07
Checking if a table represents a function ✓ Check-ins1:16
Recognizing functions from table ✓ Check-ins4:40
Checking if an equation represents a function ✓ Check-ins3:33
Does a vertical line represent a function? ✓ Check-ins1:40
Recognizing functions from verbal description ✓ Check-ins1:31
Recognizing functions from verbal description word problems ✓ Check-ins3:23
Unit 15: Systems of equations
Intro to systems of equations
Systems of equations with graphing
Systems of equations with graphing ✓ Check-ins8:30
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 ✓ Check-ins2:22
Systems of equations with graphing: 5x+3y=7 & 3x-2y=8 ✓ Check-ins6:35
Systems of equations with graphing: chores ✓ Check-ins5:19
Systems of equations with graphing: exact & approximate solutions ✓ Check-ins5:56
Solving systems with substitution
Systems of equations with substitution: 2y=x+7 & x=y-4 ✓ Check-ins4:39
Systems of equations with substitution: y=4x-17.5 & y+2x=6.5 ✓ Check-ins4:06
Systems of equations with substitution: -3x-4y=-2 & y=2x-5 ✓ Check-ins4:21
Systems of equations with substitution: 9x+3y=15 & y-x=5 ✓ Check-ins6:04
Systems of equations with substitution: y=-5x+8 & 10x+2y=-2 ✓ Check-ins3:44
Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120 ✓ Check-ins3:44
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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