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Algebra 2 Bridge

An advanced bridge for middle-school students who are ready to preview Algebra 2 ideas without pretending Algebra 2 is a normal middle-school requirement.

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Advanced middle school bridge / Algebra 1 extension / Algebra 2 preview

Algebra 2 Bridge

An advanced bridge for middle-school students who are ready to preview Algebra 2 ideas without pretending Algebra 2 is a normal middle-school requirement.

5 units400 checked answers5 units, 8-12 weeks extension cycle
Outcomes
  • Read function notation and transformations before high-school Algebra 2.
  • Strengthen factoring, polynomial, radical, and quadratic foundations.
  • Connect algebraic manipulation to graphs, tables, and real models.

Study links

Algebra 2PrecalculusMathematics Guidance & ResourcesAlgebra curriculumPrecalculus 2eFlexBook textbooks and concepts
Source index

Unit sequence

Start at unit 1. Move forward only after the checks are clean.

  1. 01

    Function language and transformations

    80 checks
    • Use function notation, domain, range, input, and output accurately.
    • Describe shifts, stretches, and reflections from equations and graphs.

    Practice: Match four function rules to graphs and justify each match with one feature.

    Open practice checks
    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Foundation: 25Developing: 25Proficient: 18Advanced: 12

    Start the next sequenced check: #1 Function. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    #1FunctionFluencyfoundationNext

    Set 2: if f(x)=x^2+6, find f(7).

    #2FactoringFluencydeveloping

    Set 2: factor x^2 + 14x + 48.

    #3FunctionFluencyfoundation

    Set 1: if f(x)=x^2+5, find f(2).

    #4FactoringFluencydeveloping

    Set 1: factor x^2 + 8x + 15.

    #5RadicalFluencydeveloping

    Set 1: solve sqrt(x) = 5.

    #6VertexConceptdeveloping

    Set 1: y = (x - 5)^2 + 5. What is the vertex?

  2. 02

    Polynomials and factoring fluency

    80 checks
    • Add, multiply, and factor polynomial expressions.
    • Use factoring to reveal zeros and structure.

    Practice: Factor a mixed polynomial set and check each answer by multiplication.

    Open practice checks
    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Proficient: 18Developing: 25Advanced: 12Foundation: 25

    Start the next sequenced check: #1 Model. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    #1ModelApplicationproficientNext

    Set 3: h(t) = -t^2 + 16t. What is h(8)?

    #2Rational exponentConceptdeveloping

    Set 3: 16^(1/2) = ?

    #3RadicalFluencydeveloping

    Set 1: solve sqrt(x) = 6.

    #4VertexConceptdeveloping

    Set 1: y = (x - 6)^2 + 5. What is the vertex?

    #5Quadratic featureExam Readinessadvanced

    Set 2: in factored form (x - 7)(x + 3), the zeros are:

    #6Portfolio calculationExam Readinessadvanced

    Set 2: a bridge portfolio has 7 factoring items, 4 function items, and 4 radical items. How many total?

  3. 03

    Radicals, rational exponents, and equation checks

    80 checks
    • Simplify radicals and translate rational exponents.
    • Solve equations with radicals while checking for extraneous answers.

    Practice: Solve radical equations and mark which answers survive substitution.

    Open practice checks
    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Foundation: 25Proficient: 18Developing: 25Advanced: 12

    Start the next sequenced check: #1 Polynomial. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    #1PolynomialFluencyfoundationNext

    Set 5: multiply (x + 11)(x + 5). What is the constant term?

    #2DomainConceptfoundation

    Set 5: which value is excluded from 1/(x - 11)?

    #3PolynomialFluencyfoundation

    Set 1: multiply (x + 7)(x + 6). What is the constant term?

    #4DomainConceptfoundation

    Set 1: which value is excluded from 1/(x - 7)?

    #5TransformationAnalysisproficient

    Set 4: y = (x - 10)^2 shifts y = x^2 how many units right?

    #6ZeroAnalysisproficient

    Set 4: if y = (x - 10)(x + 3), name the positive zero.

  4. 04

    Quadratic models and multiple representations

    80 checks
    • Use standard, factored, and vertex form for quadratics.
    • Connect zeros, vertex, axis of symmetry, and intercepts to a context.

    Practice: Model a height or area situation with a quadratic and explain what each feature means.

    Open practice checks
    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Foundation: 25Developing: 25Proficient: 18Advanced: 12

    Start the next sequenced check: #1 Function. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    #1FunctionFluencyfoundationNext

    Set 7: if f(x)=x^2+14, find f(4).

    #2FactoringFluencydeveloping

    Set 7: factor x^2 + 19x + 70.

    #3TransformationAnalysisproficient

    Set 1: y = (x - 8)^2 shifts y = x^2 how many units right?

    #4ZeroAnalysisproficient

    Set 1: if y = (x - 8)(x + 2), name the positive zero.

    #5RadicalFluencydeveloping

    Set 6: solve sqrt(x) = 13.

    #6VertexConceptdeveloping

    Set 6: y = (x - 13)^2 + 2. What is the vertex?

  5. 05

    Data, modeling, and readiness portfolio

    80 checks
    • Fit simple models to data and state limitations.
    • Build a readiness portfolio that shows algebraic reasoning, not memorized tricks.

    Practice: Create a five-problem portfolio with one corrected error note for each Algebra 2 bridge topic.

    Open practice checks
    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Proficient: 18Developing: 25Advanced: 12Foundation: 25

    Start the next sequenced check: #1 Model. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    #1ModelApplicationproficientNext

    Set 8: h(t) = -t^2 + 32t. What is h(16)?

    #2Rational exponentConceptdeveloping

    Set 8: 16^(1/2) = ?

    #3ModelApplicationproficient

    Set 1: h(t) = -t^2 + 18t. What is h(9)?

    #4Rational exponentConceptdeveloping

    Set 1: 16^(1/2) = ?

    #5Quadratic featureExam Readinessadvanced

    Set 7: in factored form (x - 15)(x + 7), the zeros are:

    #6Portfolio calculationExam Readinessadvanced

    Set 7: a bridge portfolio has 15 factoring items, 8 function items, and 4 radical items. How many total?

Algebra 2 Bridge curriculum · PeerTutor