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Week 1: Variable expressions
6 lessonsโข~30 mins
Skills and concepts for Variable expressions.
Integrated Math 1
First-year integrated math: algebra, functions, systems, and statistics. Bite-size lessons with quizzes and graphing tools.
Progress
0/192 lessons โข 0%
Modules
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Week 2: One-variable equations
6 lessonsโข~30 mins
Skills and concepts for One-variable equations.
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Week 3: One-variable equations
7 lessonsโข~35 mins
Skills and concepts for One-variable equations.
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Week 4: One-variable inequalities
7 lessonsโข~35 mins
Skills and concepts for One-variable inequalities.
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Week 5: One-variable inequalities
4 lessonsโข~20 mins
Skills and concepts for One-variable inequalities.
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Week 6: Units and quantities
5 lessonsโข~25 mins
Skills and concepts for Units and quantities.
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Week 7: Relations and functions
6 lessonsโข~30 mins
Skills and concepts for Relations and functions.
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Week 8: Functions
6 lessonsโข~30 mins
Skills and concepts for Functions.
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Week 9: Linear functions
7 lessonsโข~70 mins
Skills and concepts for Linear functions.
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Week 10: Linear functions
6 lessonsโข~58 mins
Skills and concepts for Linear functions.
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Week 11: Linear functions
7 lessonsโข~35 mins
Skills and concepts for Linear functions.
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Week 12: Linear functions
6 lessonsโข~37 mins
Skills and concepts for Linear functions.
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Week 13: Linear inequalities and systems of equations
6 lessonsโข~65 mins
Skills and concepts for Linear inequalities and systems of equations.
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Week 14: Systems of equations
7 lessonsโข~56 mins
Skills and concepts for Systems of equations.
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Week 15: Systems of equations and sequences
7 lessonsโข~49 mins
Skills and concepts for Systems of equations and sequences.
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Week 16: Sequences
7 lessonsโข~35 mins
Skills and concepts for Sequences.
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Week 17: Sequences and exponential functions
7 lessonsโข~35 mins
Skills and concepts for Sequences and exponential functions.
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Week 18: Exponential functions
6 lessonsโข~30 mins
Skills and concepts for Exponential functions.
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Week 19: Linear and exponential functions
6 lessonsโข~30 mins
Skills and concepts for Linear and exponential functions.
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Week 20: Functions and statistics
6 lessonsโข~30 mins
Skills and concepts for Functions and statistics.
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Week 21: Statistics
6 lessonsโข~30 mins
Skills and concepts for Statistics.
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Week 22: Statistics
4 lessonsโข~20 mins
Skills and concepts for Statistics.
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Week 23: Statistics
5 lessonsโข~25 mins
Skills and concepts for Statistics.
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Week 24: Statistics
7 lessonsโข~35 mins
Skills and concepts for Statistics.
๐งฉ
Week 25: Geometry concepts
5 lessonsโข~25 mins
Skills and concepts for Geometry concepts.
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Week 26: Geometry concepts and constructions
6 lessonsโข~30 mins
Skills and concepts for Geometry concepts and constructions.
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Week 27: Constructions
6 lessonsโข~30 mins
Skills and concepts for Constructions.
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Week 28: Constructions
4 lessonsโข~20 mins
Skills and concepts for Constructions.
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Week 29: Distance formula and parallel and perpendicular lines
6 lessonsโข~37 mins
Skills and concepts for Distance formula and parallel and perpendicular lines.
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Week 30: Parallel and perpendicular lines and transformations
6 lessonsโข~30 mins
Skills and concepts for Parallel and perpendicular lines and transformations.
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Week 31: Transformations
6 lessonsโข~30 mins
Skills and concepts for Transformations.
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Week 32: Transformations
6 lessonsโข~30 mins
Skills and concepts for Transformations.
All Lessons (192)
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Evaluate variable expressions involving integers
In algebra, letters (like x) stand in for numbers. 'Evaluating an expression' means you get to be the code-breaker! You are given the secret value of the letter, and your job is to plug it in and solve the problem.
Evaluate variable expressions involving rational numbers
Evaluating expressions with rational numbers (fractions and decimals) follows the same rules as with integers. Substitute the given value for the variable and use the order of operations to solve.
Write variable expressions
Writing variable expressions is like translating from English to 'math-lish'. You are taking a word phrase and representing it with variables, numbers, and operations.
Simplify variable expressions involving like terms and the distributive property
Simplifying expressions means making them shorter and easier to work with. You do this by combining like terms and using the distributive property.
Identify equivalent linear expressions
Equivalent expressions are expressions that look different but have the same value for all values of the variables. You can use the properties of operations to simplify expressions and see if they are equivalent.
Sort factors of variable expressions
Factoring is the reverse of the distributive property. It's like finding what was multiplied to get the expression.
Properties of equality
Master the skills and concepts for: Properties of equality.
Identify equivalent equations
Master the skills and concepts for: Identify equivalent equations.
Write variable equations
Master the skills and concepts for: Write variable equations.
Model and solve linear equations using algebra tiles
Master the skills and concepts for: Model and solve linear equations using algebra tiles.
Solve one-step linear equations
Master the skills and concepts for: Solve one-step linear equations.
Solve two-step linear equations
Master the skills and concepts for: Solve two-step linear equations.
Solve linear equations with variables on one side
Master the skills and concepts for: Solve linear equations with variables on one side.
Solve linear equations with variables on both sides
Master the skills and concepts for: Solve linear equations with variables on both sides.
Solve linear equations: complete the solution
Master the skills and concepts for: Solve linear equations: complete the solution.
Solve one-step and two-step linear equations: word problems
Master the skills and concepts for: Solve one-step and two-step linear equations: word problems.
Solve linear equations with variables on both sides: word problems
Master the skills and concepts for: Solve linear equations with variables on both sides: word problems.
Find the number of solutions to a linear equation
Master the skills and concepts for: Find the number of solutions to a linear equation.
Rearrange multi-variable equations
Master the skills and concepts for: Rearrange multi-variable equations.
Identify solutions to inequalities
Master the skills and concepts for: Identify solutions to inequalities.
Solve one-step linear inequalities
Master the skills and concepts for: Solve one-step linear inequalities.
Graph solutions to one-step linear inequalities
Master the skills and concepts for: Graph solutions to one-step linear inequalities.
Solve two-step linear inequalities
Master the skills and concepts for: Solve two-step linear inequalities.
Graph solutions to two-step linear inequalities
Master the skills and concepts for: Graph solutions to two-step linear inequalities.
Solve advanced linear inequalities
Master the skills and concepts for: Solve advanced linear inequalities.
Graph solutions to advanced linear inequalities
Master the skills and concepts for: Graph solutions to advanced linear inequalities.
Write compound inequalities from graphs
Master the skills and concepts for: Write compound inequalities from graphs.
Solve compound inequalities
Master the skills and concepts for: Solve compound inequalities.
Graph solutions to compound inequalities
Master the skills and concepts for: Graph solutions to compound inequalities.
Checkpoint skill Checkpoint: Solve linear equations and inequalities
Master the skills and concepts for: Checkpoint skill Checkpoint: Solve linear equations and inequalities.
Unit prices with unit conversions
Master the skills and concepts for: Unit prices with unit conversions.
Multi-step problems with unit conversions
Master the skills and concepts for: Multi-step problems with unit conversions.
Rate of travel: word problems
Master the skills and concepts for: Rate of travel: word problems.
Weighted averages: word problems
Master the skills and concepts for: Weighted averages: word problems.
Checkpoint skill Checkpoint: Units and quantities
Master the skills and concepts for: Checkpoint skill Checkpoint: Units and quantities.
Relations: convert between tables, graphs, mappings, and lists of points
Master the skills and concepts for: Relations: convert between tables, graphs, mappings, and lists of points.
Domain and range of relations
Master the skills and concepts for: Domain and range of relations.
Identify functions
Master the skills and concepts for: Identify functions.
Identify functions: vertical line test
Master the skills and concepts for: Identify functions: vertical line test.
Find values using function graphs
Master the skills and concepts for: Find values using function graphs.
Complete a function table from a graph
Master the skills and concepts for: Complete a function table from a graph.
Function transformation rules
Master the skills and concepts for: Function transformation rules.
Identify independent and dependent variables
Master the skills and concepts for: Identify independent and dependent variables.
Evaluate a linear function from its graph: word problems
Master the skills and concepts for: Evaluate a linear function from its graph: word problems.
Interpret functions using everyday language
Master the skills and concepts for: Interpret functions using everyday language.
Identify graphs: word problems
Master the skills and concepts for: Identify graphs: word problems.
Checkpoint skill Checkpoint: Function concepts
Master the skills and concepts for: Checkpoint skill Checkpoint: Function concepts.
Does (x, y) satisfy the linear equation?
Master the skills and concepts for: Does (x, y) satisfy the linear equation?.
Relate the graph of a linear equation to its solutions
Master the skills and concepts for: Relate the graph of a linear equation to its solutions.
Complete a table and graph a linear function
Use slope and intercept to complete tables and graph a linear relationship.
Identify linear functions from graphs and equations
Distinguish linear functions by constant rate of change and straight-line graphs.
Identify linear functions from tables
Use first differences in tables to determine whether a relation is linear.
Rate of change: tables
Compute and interpret slope directly from tabular data.
Rate of change: graphs
Find slope from a graph using rise over run.
Find the slope of a graph
Measure slope from a line graph and connect it to steepness and direction.
Find the slope from two points
Use the slope formula to compute rate of change from coordinate pairs.
Checkpoint skill Checkpoint: Average rate of change
Master the skills and concepts for: Checkpoint skill Checkpoint: Average rate of change.
Slope-intercept form: graph an equation
Graph lines efficiently from y = mx + b using intercept and slope moves.
Slope-intercept form: write an equation from a graph
Read slope and intercept from a graph and write y = mx + b.
Slope-intercept form: write an equation
Master the skills and concepts for: Slope-intercept form: write an equation.
Slope-intercept form: write an equation from a table
Master the skills and concepts for: Slope-intercept form: write an equation from a table.
Write a linear function: word problems
Master the skills and concepts for: Write a linear function: word problems.
Point-slope form: graph an equation
Master the skills and concepts for: Point-slope form: graph an equation.
Point-slope form: write an equation
Master the skills and concepts for: Point-slope form: write an equation.
Point-slope form: write an equation from a graph
Master the skills and concepts for: Point-slope form: write an equation from a graph.
Write linear equations in standard form
Master the skills and concepts for: Write linear equations in standard form.
Standard form: graph a line from an equation
Master the skills and concepts for: Standard form: graph a line from an equation.
Equations of horizontal and vertical lines
Master the skills and concepts for: Equations of horizontal and vertical lines.
Graph a horizontal or vertical line
Master the skills and concepts for: Graph a horizontal or vertical line.
Transformations of linear functions
Master the skills and concepts for: Transformations of linear functions.
Compare linear functions: tables, graphs, and equations
Master the skills and concepts for: Compare linear functions: tables, graphs, and equations.
Domain and range of linear functions: word problems
Master the skills and concepts for: Domain and range of linear functions: word problems.
Interpret the slope and y-intercept of a linear function
Translate slope and intercept into context-based meaning.
Does (x, y) satisfy the inequality?
Test ordered pairs by substitution to determine inequality solutions.
Graph a two-variable linear inequality
Graph inequality solution regions using boundary lines and shading.
Write two-variable inequalities: word problems
Convert constraints from context into two-variable inequalities.
Is (x, y) a solution to the system of equations?
Verify system solutions by checking both equations.
Solve a system of equations by graphing
Find system solutions as intersection points of two lines.
Solve a system of equations by graphing: word problems
Master the skills and concepts for: Solve a system of equations by graphing: word problems.
Find the number of solutions to a system of equations by graphing
Master the skills and concepts for: Find the number of solutions to a system of equations by graphing.
Find the number of solutions to a system of equations
Master the skills and concepts for: Find the number of solutions to a system of equations.
Solve a system of equations using substitution
Use substitution when one equation is easy to isolate.
Solve a system of equations using substitution: word problems
Master the skills and concepts for: Solve a system of equations using substitution: word problems.
Solve a system of equations using elimination
Eliminate one variable by combining equations strategically.
Solve a system of equations using elimination: word problems
Master the skills and concepts for: Solve a system of equations using elimination: word problems.
Solve a system of equations using any method: word problems
Model word problems with systems and choose an efficient solving method.
Is (x, y) a solution to the system of linear inequalities?
Check candidate points against every inequality in a system.
Solve systems of linear inequalities by graphing
Find feasible regions by overlapping shaded half-planes.
Checkpoint skill Checkpoint: Systems of equations and inequalities
Master the skills and concepts for: Checkpoint skill Checkpoint: Systems of equations and inequalities.
Checkpoint skill Checkpoint: Modeling with linear equations and inequalities
Master the skills and concepts for: Checkpoint skill Checkpoint: Modeling with linear equations and inequalities.
Arithmetic sequences
Master the skills and concepts for: Arithmetic sequences.
Geometric sequences
Master the skills and concepts for: Geometric sequences.
Evaluate variable expressions for number sequences
Master the skills and concepts for: Evaluate variable expressions for number sequences.
Write variable expressions for arithmetic sequences
Master the skills and concepts for: Write variable expressions for arithmetic sequences.
Write variable expressions for geometric sequences
Master the skills and concepts for: Write variable expressions for geometric sequences.
Identify a sequence as explicit or recursive
Master the skills and concepts for: Identify a sequence as explicit or recursive.
Evaluate recursive formulas for sequences
Master the skills and concepts for: Evaluate recursive formulas for sequences.
Write a formula for a recursive sequence
Master the skills and concepts for: Write a formula for a recursive sequence.
Convert a recursive formula to an explicit formula
Master the skills and concepts for: Convert a recursive formula to an explicit formula.
Convert an explicit formula to a recursive formula
Master the skills and concepts for: Convert an explicit formula to a recursive formula.
Checkpoint skill Checkpoint: Compare linear and exponential functions
Master the skills and concepts for: Checkpoint skill Checkpoint: Compare linear and exponential functions.
Checkpoint skill Checkpoint: Sequences
Master the skills and concepts for: Checkpoint skill Checkpoint: Sequences.
Evaluate an exponential function
Master the skills and concepts for: Evaluate an exponential function.
Graph exponential functions
Master the skills and concepts for: Graph exponential functions.
Match exponential functions and graphs
Master the skills and concepts for: Match exponential functions and graphs.
Domain and range of exponential functions: graphs
Master the skills and concepts for: Domain and range of exponential functions: graphs.
Domain and range of exponential functions: equations
Master the skills and concepts for: Domain and range of exponential functions: equations.
Exponential growth and decay: word problems
Master the skills and concepts for: Exponential growth and decay: word problems.
Compound interest: word problems
Master the skills and concepts for: Compound interest: word problems.
Checkpoint skill Checkpoint: Expressions, equations, and inequalities
Master the skills and concepts for: Checkpoint skill Checkpoint: Expressions, equations, and inequalities.
Checkpoint skill Checkpoint: Graph and interpret functions
Master the skills and concepts for: Checkpoint skill Checkpoint: Graph and interpret functions.
Identify linear and exponential functions from graphs
Master the skills and concepts for: Identify linear and exponential functions from graphs.
Identify linear and exponential functions from tables
Master the skills and concepts for: Identify linear and exponential functions from tables.
Linear functions over unit intervals
Master the skills and concepts for: Linear functions over unit intervals.
Exponential functions over unit intervals
Master the skills and concepts for: Exponential functions over unit intervals.
Describe linear and exponential growth and decay
Master the skills and concepts for: Describe linear and exponential growth and decay.
Compare linear and exponential growth
Master the skills and concepts for: Compare linear and exponential growth.
Write linear and exponential functions from tables
Master the skills and concepts for: Write linear and exponential functions from tables.
Write linear and exponential functions: word problems
Master the skills and concepts for: Write linear and exponential functions: word problems.
Find solutions using a table
Master the skills and concepts for: Find solutions using a table.
Approximate solutions using a table
Master the skills and concepts for: Approximate solutions using a table.
Checkpoint skill Checkpoint: Build functions
Master the skills and concepts for: Checkpoint skill Checkpoint: Build functions.
Checkpoint skill Checkpoint: Solve equations using graphs and tables
Master the skills and concepts for: Checkpoint skill Checkpoint: Solve equations using graphs and tables.
Mean, median, mode, and range
Master the skills and concepts for: Mean, median, mode, and range.
Identify an outlier and describe the effect of removing it
Master the skills and concepts for: Identify an outlier and describe the effect of removing it.
Calculate quartiles and interquartile range
Master the skills and concepts for: Calculate quartiles and interquartile range.
Variance and standard deviation
Master the skills and concepts for: Variance and standard deviation.
Interpret line plots
Master the skills and concepts for: Interpret line plots.
Create line plots
Master the skills and concepts for: Create line plots.
Interpret histograms
Master the skills and concepts for: Interpret histograms.
Create histograms
Master the skills and concepts for: Create histograms.
Choose appropriate measures of center and variation
Master the skills and concepts for: Choose appropriate measures of center and variation.
Box plots
Master the skills and concepts for: Box plots.
Checkpoint skill Checkpoint: Line plots, histograms, and box plots
Master the skills and concepts for: Checkpoint skill Checkpoint: Line plots, histograms, and box plots.
Checkpoint skill Checkpoint: Compare data sets
Master the skills and concepts for: Checkpoint skill Checkpoint: Compare data sets.
Find probabilities using two-way frequency tables
Master the skills and concepts for: Find probabilities using two-way frequency tables.
Find conditional probabilities using two-way frequency tables
Master the skills and concepts for: Find conditional probabilities using two-way frequency tables.
Checkpoint skill Checkpoint: Two-way frequency tables
Master the skills and concepts for: Checkpoint skill Checkpoint: Two-way frequency tables.
Interpret a scatter plot
Master the skills and concepts for: Interpret a scatter plot.
Match correlation coefficients to scatter plots
Master the skills and concepts for: Match correlation coefficients to scatter plots.
Calculate correlation coefficients
Master the skills and concepts for: Calculate correlation coefficients.
Write equations for lines of best fit
Master the skills and concepts for: Write equations for lines of best fit.
Interpret lines of best fit: word problems
Master the skills and concepts for: Interpret lines of best fit: word problems.
Find the equation of a regression line
Master the skills and concepts for: Find the equation of a regression line.
Interpret regression lines
Master the skills and concepts for: Interpret regression lines.
Analyze a regression line of a data set
Master the skills and concepts for: Analyze a regression line of a data set.
Correlation and causation
Master the skills and concepts for: Correlation and causation.
Checkpoint skill Checkpoint: Linear modeling
Master the skills and concepts for: Checkpoint skill Checkpoint: Linear modeling.
Lines, line segments, and rays
Master the skills and concepts for: Lines, line segments, and rays.
Properties of planes, lines, and points
Master the skills and concepts for: Properties of planes, lines, and points.
Describe intersections in a plane
Master the skills and concepts for: Describe intersections in a plane.
Angle vocabulary
Master the skills and concepts for: Angle vocabulary.
Checkpoint skill Checkpoint: Definitions of geometric objects
Master the skills and concepts for: Checkpoint skill Checkpoint: Definitions of geometric objects.
Additive property of length
Master the skills and concepts for: Additive property of length.
Congruent line segments
Master the skills and concepts for: Congruent line segments.
Midpoints
Master the skills and concepts for: Midpoints.
Construct a congruent segment
Master the skills and concepts for: Construct a congruent segment.
Construct the midpoint or perpendicular bisector of a segment
Master the skills and concepts for: Construct the midpoint or perpendicular bisector of a segment.
Construct a congruent angle
Master the skills and concepts for: Construct a congruent angle.
Construct an angle bisector
Master the skills and concepts for: Construct an angle bisector.
Construct parallel lines
Master the skills and concepts for: Construct parallel lines.
Construct a perpendicular line
Master the skills and concepts for: Construct a perpendicular line.
Construct an equilateral triangle or regular hexagon
Master the skills and concepts for: Construct an equilateral triangle or regular hexagon.
Construct a square
Master the skills and concepts for: Construct a square.
Construct an equilateral triangle inscribed in a circle
Master the skills and concepts for: Construct an equilateral triangle inscribed in a circle.
Construct a square inscribed in a circle
Master the skills and concepts for: Construct a square inscribed in a circle.
Construct a regular hexagon inscribed in a circle
Master the skills and concepts for: Construct a regular hexagon inscribed in a circle.
Checkpoint skill Checkpoint: Geometric constructions
Master the skills and concepts for: Checkpoint skill Checkpoint: Geometric constructions.
Distance formula
Master the skills and concepts for: Distance formula.
Area and perimeter in the coordinate plane I
Find the perimeter and area of polygons graphed on a coordinate plane.
Area and perimeter in the coordinate plane II
Master the skills and concepts for: Area and perimeter in the coordinate plane II.
Checkpoint skill Checkpoint: Area and perimeter in the coordinate plane
Master the skills and concepts for: Checkpoint skill Checkpoint: Area and perimeter in the coordinate plane.
Slopes of parallel and perpendicular lines
Master the skills and concepts for: Slopes of parallel and perpendicular lines.
Equations of parallel and perpendicular lines
Master the skills and concepts for: Equations of parallel and perpendicular lines.
Find the distance between a point and a line
Master the skills and concepts for: Find the distance between a point and a line.
Find the distance between two parallel lines
Master the skills and concepts for: Find the distance between two parallel lines.
Checkpoint skill Checkpoint: Parallel and perpendicular lines
Master the skills and concepts for: Checkpoint skill Checkpoint: Parallel and perpendicular lines.
Translations: graph the image
Master the skills and concepts for: Translations: graph the image.
Translations: find the coordinates
Master the skills and concepts for: Translations: find the coordinates.
Translations: write the rule
Master the skills and concepts for: Translations: write the rule.
Reflections: graph the image
Master the skills and concepts for: Reflections: graph the image.
Reflections: find the coordinates
Master the skills and concepts for: Reflections: find the coordinates.
Rotate polygons about a point
Master the skills and concepts for: Rotate polygons about a point.
Rotations: graph the image
Master the skills and concepts for: Rotations: graph the image.
Rotations: find the coordinates
Master the skills and concepts for: Rotations: find the coordinates.
Checkpoint skill Checkpoint: Transformations in the plane
Master the skills and concepts for: Checkpoint skill Checkpoint: Transformations in the plane.
Sequences of congruence transformations: graph the image
Master the skills and concepts for: Sequences of congruence transformations: graph the image.
Sequences of congruence transformations: find the rules
Master the skills and concepts for: Sequences of congruence transformations: find the rules.
Transformations that carry a polygon onto itself
Master the skills and concepts for: Transformations that carry a polygon onto itself.
Congruence transformations: mixed review
Master the skills and concepts for: Congruence transformations: mixed review.
Checkpoint skill Checkpoint: Congruence transformations
Master the skills and concepts for: Checkpoint skill Checkpoint: Congruence transformations.
Checkpoint skill Checkpoint: Rigid motion and congruence
Master the skills and concepts for: Checkpoint skill Checkpoint: Rigid motion and congruence.