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Algebra 1 (IM® v.360 aligned)

This course contains Khan Academy practice problems crafted to support the IM® v.360 curriculum by Illustrative Mathematics® (IM), licensed under Creative Commons/Attribution/Non-commercial 4.0. Designed to make it easier for districts, teachers, and students to find and use practice problems that complement IM v.360 lessons, this course was not produced in official partnership with Illustrative Mathematics.

8 units322 videos27 hours

Learn it live with a class on Puzzicle · Teachers: use it with your class

Unit 1: One-variable statistics

Getting to know you

Data representations (Optional)

A gallery of data

The shape of distributions

Calculating measures of center & variability (optional)

The effect of extremes

Comparing & contrasting data distributions

Standard deviation

More standard deviation

Outliers

Comparing data sets

Unit 2: Linear equations and systems

Planning a party

Writing equations to model relationships (part 1) (optional)

Writing equations to model relationships (part 2) (optional)

Equations and their solutions (optional)

Equations and their graphs (optional)

Explaining steps for rewriting equations

Which variable to solve for? (part 1)

Which variable to solve for? (part 2)

Connecting equations to graphs (part 1)

Connecting equations to graphs (part 2)

Writing & graphing systems of linear equations

Solving systems by substitution

Solving systems by elimination (part 1)

Solving systems by elimination (part 2)

Solving systems by elimination (part 3)

Systems of linear equations and their solutions

Unit 3: Two-variable statistics

Two-way tables

Relative frequency tables

Associations in categorical data

Linear models

Residuals

The correlation coefficient

Causal relationships

Unit 4: Linear inequalities and systems

Representing situations with inequalities

Writing & solving inequalities in one variable

Graphing linear inequalities in two variables (part 1)

Graphing linear inequalities in two variables (part 2)

Solving problems with inequalities in two variables

Solutions to systems of linear inequalities in two variables

Solving problems with systems of linear inequalities in two variables

Unit 5: Functions

Describing & graphing situations

Function notation

Interpreting & using function notation

Using function notation to describe rules (part 1)

Using function notation to describe rules (part 2)

Features of graphs

Using graphs to find average rate of change

Interpreting and creating graphs

Comparing graphs

Domain & range (part 1)

Domain & range (part 2)

Piecewise functions

Absolute value functions (part 1)

Absolute value functions (part 2)

Inverse functions

Finding and interpreting inverse functions

Writing inverse functions to solve problems

Using functions to model battery power

Unit 6: Introduction to exponential functions

Growing and growing

Patterns of growth

Representing exponential growth

Representing exponential decay

Understanding decay

Analyzing graphs

Using negative exponents

Exponential situations as functions

Interpreting exponential functions

Looking at rates of change

Modeling exponential behavior

Reasoning about exponential graphs (part 1)

Reasoning about exponential graphs (part 2) (optional)

Functions involving percent change

Compounding interest

Different compounding intervals

Expressed in different ways

Which one changes faster?

Changes over equal intervals

Predicting populations

Unit 7: Introduction to quadratic functions

A different kind of change

How does it change?

Building quadratic functions from geometric patterns

Comparing quadratic and exponential functions

Building quadratic functions to describe situations (part 1)

Building quadratic functions to describe situations (part 2)

Building quadratic functions to describe situations (part 3)

Equivalent quadratic expressions

Standard form and factored form

Graphs of functions in standard and factored forms

Graphing from the factored form

Graphs that represent situations (optional)

Vertex form

Graphing from the vertex form (optional)

Changing the vertex

Unit 8: Quadratic equations

Finding unknown inputs

Solving quadratic equations by reasoning

Solving quadratic equations with the zero product property

How many solutions?

Rewriting quadratic expressions in factored form (part 1)

Rewriting quadratic expressions in factored form (part 2)

Rewriting quadratic expressions in factored form (part 3)

Solving quadratic equations by using factored form

Rewriting quadratic expressions in factored form (part 4)

What are perfect squares?

Completing the square (part 1)

Completing the square (part 2)

Completing the square (part 3)

Quadratic equations with irrational solutions

The quadratic formula

Applying the quadratic formula (part 1)

Applying the quadratic formula (part 2) (optional)

Deriving the quadratic formula

Rational & irrational solutions

Sums & products of rational & irrational numbers

Rewriting quadratic expressions in vertex form

Using quadratic expressions in vertex form to solve problems

Using quadratic equations to model situations and solve problems

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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