Algebra I (using Illustrative Math + Khan Academy)

A promotional graphic for an Algebra I guide, featuring the title 'Guide for: Algebra I', with a starry background and text indicating alignment with Illustrative Math and utilization of Khan Academy, along with the website URL and descriptions like 'Secular, Inclusive, Free, Homeschooling'.

This guide adapts Illustrative Mathematics Algebra I into a format that’s easier for homeschool families to use. Most lessons include Khan Academy videos and practice problems, aligned to the Illustrative Mathematics, and for lessons that Khan Academy doesn’t yet cover, I’ve included links to my Canva templates. My templates generally use the information in the IM teachers guides, with occasional tweaks to make them more homeschooling friendly. I also recommend creating a free teacher account with Illustrative Mathematics to access the teacher guides, answer keys, paper assessments, and other printables.

There are slideshows I haven’t created yet. Everything through week 15 is complete, and I’ll continue updating the guide as the remaining lessons are finished.

Week 1Unit 1 : One-Variable Statistics

Lesson 1: Getting to know you
Lesson 2: Data representations (Optional)
Quiz 1
Lesson 3: A gallery of data
Lesson 4: The shape of distributions
Lesson 5: Calculating measures of center & variability (optional)
Quiz 2
Week 2Lesson 6: Mystery computations (optional) + Complete slideshow
Lesson 7: Spreadsheet computations (optional) + Complete slideshow
Lesson 8: SKIPPED
Lesson 9: Technological graphing
Lesson 10: The effect of extremes
Week 3Lesson 11: Comparing & contrasting data distributions
Lesson 12: Standard deviation
Lesson 13: More standard deviation + Complete slideshow
Quiz 3
Lesson 14: Outliers
Lesson 15: Comparing data sets
Lesson 16: Analyzing data
Quiz 4
Unit test
Week 4Lesson 6 (skipping)
Lesson 7: Explaining steps for rewriting equations
Lesson 8: Which variable to solve for? (part 1)
Lesson 9: Which variable to solve for? (part 2)
Quiz 3
Lesson 10: Connecting equations to graphs (part 1)
Lesson 11: Connecting equations to graphs (part 2)
Quiz 4
Week 5 Lesson 12: Writing & graphing systems of linear equations
Lesson 13: Solving systems by substitution
Quiz 5
Lesson 14: Solving systems by elimination (part 1)
Lesson 15: Solving systems by elimination (part 2)
Week 6Lesson 16: Solving systems by elimination (part 3)
Lesson 17: Systems of linear equations and their solutions
Lesson 18: Slideshow: Asking about Solving Systems (Optional)
Lesson 19: Slideshow: Linear Patterns (Optional)
Quiz 6
Unit test
Week 7Unit 3: Two-Variable Statistics
Lesson 1: Two-way tables
Lesson 2: Relative frequency tables
Lesson 3: Associations in categorical data
Quiz 1
Week 8Lesson 4: Linear models
Lesson 5: SKIPPING
Quiz 2
Lesson 6: Residuals
Week 9Lesson 7: The correlation coefficient
Lesson 8: Using the correlation coefficient + Complete Slideshow
Lesson 9: Causal relationships
Quiz 3
Lesson 10: Fossils and Flags
Unit test
Week 10Unit 4: Linear Inequalities and Systems
Lesson 1: Representing situations with inequalities
Lesson 2: SKIPPING
Lesson 3: Writing & solving inequalities in one variable
Quiz 1
Week 11Lesson 4: Graphing linear inequalities in two variables (part 1)
Lesson 5: Graphing linear inequalities in two variables (part 2) (no practice problems)
Quiz 2
Lesson 6: Solving problems with inequalities in two variables
Week 12Lesson 7: Solutions to systems of linear inequalities in two variables
Lesson 8: Solving problems with systems of linear inequalities in two variables
Lesson 9: Modeling with systems of inequalities in two variables
Quiz 3
Unit test
Week 13Unit 5: Functions
Lesson 1: Describing & graphing situations
Quiz 1
Lesson 2: Function notation
Lesson 3: Interpreting & using function notation
Lesson 4: Using function notation to describe rules (part 1)
Lesson 5: Using function notation to describe rules (part 2)
Quiz 2
Week 14Lesson 6: Features of graphs
Quiz 3
Lesson 7: Using graphs to find average rate of change
Lesson 8: Interpreting and creating graphs
Lesson 9: Comparing graphs + Complete Slideshow
Week 15Lesson 10: Domain & range (part 1)
Lesson 11: Domain & range (part 2) + Complete Slideshow
Quiz 4
Lesson 12: Piecewise functions
Lesson 13: Absolute value functions (part 1) + Complete Slideshow
Lesson 14: Absolute value functions (part 2)
Quiz 5
Week 16Lesson 15: Inverse functions
Lesson 16: Finding and interpreting inverse functions + Complete Slideshow
Lesson 17: Writing inverse functions to solve problems
Lesson 18: Using functions to model battery power
Quiz 6
Unit test
Week 17Unit 6 Introduction to Exponential Functions

Lesson 1: Growing and growing + Complete Slideshow
Lesson 2: Patterns of growth
Lesson 3: Representing exponential growth
Quiz 1
Lesson 4: Representing exponential decay
Week 18Lesson 5: Using function notation to describe rules (part 2)
Quiz 2
Lesson 6: Features of graphs
Quiz 3
Lesson 7: Using graphs to find average rate of change
Lesson 8: Interpreting and creating graphs
Week 19Lesson 9: Interpreting exponential functions + Complete Slideshow
Lesson 10: Looking at rates of change + Complete Slideshow
Lesson 11: Modeling exponential behavior
Lesson 12: Reasoning about exponential graphs (part 1) + Complete Slideshow
Week 20Lesson 13: Reasoning about exponential graphs (part 2) (optional) + Complete Slideshow
Lesson 14: Recalling percent change (optional) + Complete Slideshow
Lesson 15: Functions involving percent change + Complete Slideshow
Lesson 16: Compounding interest
Week 21Lesson 17: Different compounding intervals + Complete Slideshow
Lesson 18: Expressed in different ways
Lesson 19: Which one changes faster?
Lesson 20: Changes over equal intervals + Complete Slideshow
Lesson 21: Predicting populations
Quiz 4
Unit test
Week 22Lesson 1: A different kind of change
Lesson 2: How does it change?
Lesson 3: Building quadratic functions from geometric patterns + Complete Slideshow
Lesson 4: Comparing quadratic and exponential functions + Complete Slideshow
Week 23Unit 7 Introduction to Quadratic Functions
Lesson 1: A different kind of change
Lesson 2: How does it change?
Lesson 3: Building quadratic functions from geometric patterns + Complete Slideshow
Lesson 4: Comparing quadratic and exponential functions + Complete Slideshow
Week 24Lesson 5: Building quadratic functions to describe situations (part 1) + Complete Slideshow
Lesson 6: Building quadratic functions to describe situations (part 2)
Lesson 7: Building quadratic functions to describe situations (part 3)
Quiz 1
Lesson 8: Equivalent quadratic expressions
Lesson 9: Standard form and factored form
Quiz 2
Week 25Lesson 10: Graphs of functions in standard and factored forms + Complete Slideshow
Lesson 11: Graphing from the factored form + Complete Slideshow
Lesson 12: Graphing the standard form (part 1) + Complete Slideshow
Lesson 13: Graphing the standard form (part 2) (optional) + Complete Slideshow
Week 26Lesson 14: Graphs that represent situations (optional)
Lesson 15: Vertex form + + Complete Slideshow
Lesson 16: Graphing from the vertex form (optional)
Lesson 17: Changing the vertex
Quiz 3
Unit test
Week 27Unit 8: Quadratic Equations

Lesson 1: Finding unknown inputs + Complete Slideshow
Lesson 2: When and why do we write quadratic equations? + Complete Slideshow
Lesson 3: Solving quadratic equations by reasoning
Lesson 4: Solving quadratic equations with the zero product property
Quiz 1
Week 28Lesson 5: How many solutions?
Lesson 6: Rewriting quadratic expressions in factored form (part 1)
Lesson 7: Rewriting quadratic expressions in factored form (part 2)
Quiz 2
Lesson 8: Rewriting quadratic expressions in factored form (part 3)
Quiz 3
Week 29Lesson 9: Solving quadratic equations by using factored form
Lesson 10: Rewriting quadratic expressions in factored form (part 4)
Quiz 4
Lesson 11: What are perfect squares?
Lesson 12: Completing the square (part 1)
Lesson 13: Completing the square (part 2)
Lesson 14: Completing the square (part 3)
Quiz 5
Week 30Lesson 15: Quadratic equations with irrational solutions
Lesson 16: The quadratic formula
Lesson 17: Applying the quadratic formula (part 1)
Lesson 18: Applying the quadratic formula (part 2) (optional)
Week 31Lesson 19: Deriving the quadratic formula + Complete Slideshow
Lesson 20: Rational & irrational solutions
Quiz 6
Lesson 21: Sums & products of rational & irrational numbers
Lesson 22: Rewriting quadratic expressions in vertex form
Lesson 23: Using quadratic expressions in vertex form to solve problems
Quiz 7
Lesson 24: Using quadratic equations to model situations and solve problems
Quiz 8
Unit test
Course Challenge