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Algebra 1 essentials

Explore essential algebra concepts such as solving linear equations and inequalities, graphing functions, and interpreting real-world relationships using tables and models. Analyze systems, sequences, and exponential growth while building fluency in functions and representations. Apply factoring and multiple strategies to solve and graph quadratic equations, connecting algebraic concepts to meaningful problem-solving contexts.

10 units185 videos16 hours

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

Unit 1: Solving equations & inequalities

Overview and history of algebra

Reason with linear equations

Linear equations with unknown coefficients

Multi-step inequalities

Compound inequalities

Unit 2: Linear equations & graphs

Slope

x-intercepts and y-intercepts

Applying intercepts and slope

Slope-intercept form

Writing slope-intercept equations

Point-slope form

Standard form

Summary: Forms of two-variable linear equations

Unit 3: Systems of equations and inequalities

Introduction to systems of equations

Solving systems of equations

Systems of equations word problems

Checking solutions of two-variable inequalities

Graphing two-variable inequalities

Modeling with linear inequalities

Unit 4: Functions

Evaluating functions

Inputs and outputs of a function

Determining the domain of a function

Maximum and minimum points

Intervals where a function is positive, negative, increasing, or decreasing

Interpreting features of graphs

Average rate of change

Intro to inverse functions

Unit 5: Sequences

Introduction to arithmetic sequences

Constructing arithmetic sequences

Introduction to geometric sequences

Constructing geometric sequences

Modeling with sequences

Unit 6: Absolute value & piecewise functions

Graphs of absolute value functions

Piecewise functions

Unit 7: Exponential growth & decay

Exponential vs. linear growth

Exponential expressions

Graphs of exponential growth

Unit 8: Quadratics: Multiplying & factoring

Multiplying monomials by polynomials

Multiplying binomials

Special products of binomials

Introduction to factoring

Factoring quadratics intro

Factoring quadratics by grouping

Factoring quadratics with difference of squares

Factoring quadratics with perfect squares

Strategy in factoring quadratics

Unit 9: Quadratic functions & equations

Intro to parabolas

Solving and graphing with factored form

Solving by taking the square root

Vertex form

Solving quadratics by factoring

The quadratic formula

Completing the square intro

More on completing the square

Strategizing to solve quadratic equations

Quadratic standard form

Features & forms of quadratic functions

Unit 10: Irrational numbers

Proofs concerning irrational numbers

Learn this with a class

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