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Algebra: Math: Uncharted

Courses MathAlgebra

Algebra

From letters that hold numbers to lines that tell stories: expressions, equations, and the coordinate plane.

Math
Unit 2 of 7
53 lessons
433 min
1140 XP

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Lessons

53 total

1A Letter Holds a NumberInterpret a variable as a number that can change while a rule stays fixed.InteractiveConcept8 min20 XPOpen
2Write the ExpressionTranslate a fixed fee and a per-item price into an algebraic expression.InteractiveConcept8 min20 XPOpen
3Tiles and Like TermsCombine terms that carry the same variable part.InteractiveConcept8 min20 XPOpen
4Distribute ItUse distribution to multiply every term inside parentheses.InteractiveConcept8 min20 XPOpen
5Expression WorkoutBuild fluency distributing factors and combining like terms.InteractivePractice9 min20 XPOpen
6Equivalent or NotRecognize different expressions that produce the same value.InteractiveConcept7 min20 XPOpen
7Expand the ProductExpand two binomials by accounting for every partial product.InteractiveConcept8 min20 XPOpen
8Expansion WorkoutExpand binomial products into equivalent polynomial expressions.InteractivePractice9 min20 XPOpen
9Substitute and EvaluateSubstitute a known value into an expression and evaluate it accurately.InteractiveConcept8 min20 XPOpen
10Formulas You Already UseConnect familiar situations to formulas that preserve their relationships.InteractiveConcept7 min20 XPOpen
11Expressions Mastery CheckCombine substitution, distribution, and like terms in one expression.InteractiveMastery check9 min40 XPOpen
12Keep the BalancePreserve equality by applying the same valid operation to both sides.InteractiveConcept8 min20 XPOpen
13Undo What Was DoneOrder inverse operations to isolate a variable.InteractiveConcept7 min20 XPOpen
14Solve for xSolve a linear equation by undoing its operations in a balanced order.InteractiveConcept8 min20 XPOpen
15Equation WorkoutSolve a varied sequence of one-step and linear equations.InteractivePractice9 min20 XPOpen
16Equations from StoriesModel a fixed fee and a usage charge with a linear equation.InteractiveConcept8 min20 XPOpen
17Two-Step WorkoutSolve multiplication and division equations that require two inverse moves.InteractivePractice9 min20 XPOpen
18Reading Inequality SignsTranslate comparison language into an inequality symbol.InteractiveConcept7 min20 XPOpen
19Which Model FitsDistinguish equations from inequalities in everyday models.InteractiveConcept7 min20 XPOpen
20Check Your SolutionSolve equations and verify proposed values by substitution.InteractivePractice9 min20 XPOpen
21Solution SetsIdentify every listed value that satisfies an inequality.InteractiveConcept7 min20 XPOpen
22Equations Mastery CheckModel a budget inequality and find its greatest whole-number value.InteractiveMastery check9 min40 XPOpen
23Meet the PlaneRead an ordered pair as horizontal and vertical position on a coordinate plane.InteractiveConcept8 min20 XPOpen
24Plot the PointsPlace several points from their ordered pairs on a coordinate plane.InteractiveConcept8 min20 XPOpen
25Lines Tell StoriesConnect a linear rule to the line formed by all of its input-output pairs.InteractiveConcept8 min20 XPOpen
26Slope Is a RateCalculate slope as vertical change divided by horizontal change.InteractiveConcept8 min20 XPOpen
27Slope WorkoutCalculate slopes between varied pairs of lattice points.InteractivePractice9 min20 XPOpen
28Where Lines StartInterpret the y-intercept as an initial value in a linear situation.InteractiveConcept7 min20 XPOpen
29Graph the LineBuild a line that satisfies both a linear rule and its slope.InteractivePractice9 min20 XPOpen
30Where Lines MeetLocate the input-output pair shared by two linear relationships.InteractiveConcept8 min20 XPOpen
31Intersections Mean SomethingInterpret an intersection in the context of two competing linear plans.InteractiveConcept7 min20 XPOpen
32Graphing WorkoutCoordinate points, slopes, lines, intersections, regions, and distance on one plane.InteractivePractice9 min20 XPOpen
33Graphing Mastery CheckBuild and classify a linear boundary using coordinates, slope, and a region.InteractiveMastery check9 min40 XPOpen
34The Function MachineInterpret a function as one rule that assigns one output to each allowed input.InteractiveConcept8 min20 XPOpen
35Evaluate the RuleEvaluate linear and quadratic function rules at given inputs.InteractivePractice9 min20 XPOpen
36Same Function, Four FacesConnect a function across a story, table, equation, and graph.InteractiveConcept8 min20 XPOpen
37Is It a FunctionDecide whether an assignment gives exactly one output to each input.InteractiveConcept8 min20 XPOpen
38Read the Machine GraphPlace an input-output pair on the graph of a function rule.InteractiveConcept8 min20 XPOpen
39Which Inputs Make SenseRestrict a function domain to inputs that make sense in its context.InteractiveConcept7 min20 XPOpen
40Two Plans CrossLocate the point that satisfies two linear rules at the same time.InteractiveConcept8 min20 XPOpen
41Solve It with AlgebraUse substitution and equivalent steps to solve a system of linear equations.InteractiveConcept8 min20 XPOpen
42Systems WorkoutSolve varied pairs of linear equations for a shared variable.InteractivePractice9 min20 XPOpen
43Break EvenSolve where a cost rule and a revenue rule have the same value.InteractiveConcept8 min20 XPOpen
44Which Plan WinsUse a two-series line chart to identify where one linear plan is cheaper.InteractivePractice8 min20 XPOpen
45Powers Grow FastCompare exponential growth with linear growth on the same coordinate plane.InteractiveConcept8 min20 XPOpen
46Exponent Rules WorkoutUse exponent rules to simplify repeated multiplication efficiently.InteractivePractice9 min20 XPOpen
47Multiply the BracketsExpand two binomial factors into an equivalent quadratic expression.InteractiveConcept8 min20 XPOpen
48Factor It BackFactor quadratic expressions into two equivalent binomials.InteractivePractice9 min20 XPOpen
49The ParabolaLocate the vertex of a quadratic graph from its symmetric shape.InteractiveConcept8 min20 XPOpen
50Roots on the GraphConnect quadratic factors with the x-intercepts of a parabola.InteractiveConcept8 min20 XPOpen
51Quadratics WorkoutMove fluently between factored and expanded quadratic forms.InteractivePractice9 min20 XPOpen
52Algebra Depth Mastery CheckConnect function, system, exponent, factor, and graph structure in one model.InteractiveMastery check9 min40 XPOpen
53Model the LaunchUse a quadratic path, vertex, roots, and distance to model a complete launch.InteractiveProject9 min20 XPOpen

Arithmetic Geometry