blsd curriculum map - algebra 1

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  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Yearlong Curriculum Map for Algebra 1 Page 1

    Time Frame Unit Standards Evidence of Understanding Assessment

    August -

    September

    (14 days)

    Representing

    Relationships

    Mathematically

    N-Q.1; N-Q.2; A-SSE.1a; A-

    CED.1; A-CED.2; A-CED.3; A-

    REI.10; F-IF.5; F-IF.9; F-BF.1a

    see Unit 1 Organizer exit cards; test questions

    eptem er

    (10 days)

    Understanding

    Functions

    F-IF.1; F-IF.2; F-IF.3; F-IF.4; F-

    IF.5 see Unit 2 Organizer exit cards; test questionseptem er -

    October (22

    days)Linear Functions

    F-IF.6; F-IF.7a; F-BF.3; F-

    LE.1a; F-LE.1b; F-LE.2; F-

    LE.5; S-ID.7

    see Unit 3 Organizer exit cards; test questions

    October -

    November

    (25 days)

    Statistical Models

    N-Q.1; N-Q.2; N-Q.3; S-ID.1;

    S-ID.2; S-ID.3; S-ID.5; S-

    ID.6a; S-ID.6b; S-ID.6c; S-

    ID.7; S-ID.8; S-ID.9

    see Unit 4 Organizer exit cards; test questions

    ecem er -

    January (19

    days)

    Linear Equations and

    Inequalities

    A-CED.1; A-CED.3; A-CED.4;

    A-REI.1; A-REI.3; A-REI.12see Unit 5 Organizer exit cards; test questions

    January (15

    days)

    Systems of Linear

    Equations and

    Inequalities

    A-CED.3; A-REI.5; A-REI.6; A-

    REI.11; A-REI.12see Unit 6 Organizer exit cards; test questions

    anuary -

    February (9

    days)

    Relationships That Are

    Not LinearN-RN.1; N-RN.2; F-IF.7b see Unit 7 Organizer exit cards; test questions

    e ruary -

    March (23

    days)

    Polynomial Expressions

    and Functions

    A-SSE.1b; A-SSE.2; A-

    SSE.3a; A-APR.1; A-APR.3see Unit 8 Organizer exit cards; test questions

    March (16

    days) Quadratic FunctionsA-SSE.3b; F-IF.4; F-IF.7a; F-

    IF.8a; S-ID.6a see Unit 9 Organizer exit cards; test questionspr

    days) Quadratic Equations N-RN.3; A-REI.4a; A-REI.4b see Unit 10 Organizer exit cards; test questions

    pr - ay

    (21 days)Exponential Functions

    and Equations

    A-SSE.3c; F-IF.7e; F-LE.1a; F-

    LE.3; F-LE.5; S-ID.6asee Unit 11 Organizer exit cards; test questions

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 1 Organizer

    Representing Relationships Mathematically

    Page 2

    Fo

    rmative

    Su

    mmative

    Unit Conversion

    (2 days) N-Q.1

    I can use unit analysis

    and perform unit

    conversions. x x

    in class instruction;

    practice problems none

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    u en s wou

    need to interpret

    the situation to

    determine which

    units may be

    needed to change

    to the answer

    required.

    Parts of an

    Expression (1

    day) A-SSE.1a

    I can identify parts of an

    expression. x x

    in class instruction;

    practice problems none

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    u en s wou

    need to be

    familiar with the

    definitions of key

    terms.

    Writing linear

    equations (5

    days)

    N-Q.1; N-Q.2; A-CED.1,

    A-CED.2, A-CED.3; F-

    BF.1a

    I can create linear

    equations and

    inequalities in one

    variable to represent a

    situation. I can create

    equations in two

    variables to represent

    relationships between

    quantities. I can interpret

    solutions of an equation

    as viable or non-viable. x x

    in class instruction;

    practice problems none

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Graphingequations (4

    days)

    A-REI.10; N-Q.1; F-IF.5;

    F-IF.9

    can grap an equa on

    in two variables. I can

    determine the domain

    for a given function in

    two variables. I can

    compare properties of

    two functions graphically,in table form, and

    algebraically. x x

    in class instruction;

    practice problems Desmos

    Problems of

    varying difficulty

    are incorporatedinto the problem

    sets.

    Students will need

    to interpret the

    problem situation

    to determine whatanswers make

    sense.

    Instructional

    Sh

    ifts

    Assessment

    Unit and

    Time Frame Standards

    Evidence of

    Understanding

    Instructional

    Strategies Technology

    Strategies

    Diverse

    Le

    arners

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 2 Organizer

    Understanding Functions

    Page 3

    Fo

    rmative

    Su

    mmative

    Functions (4

    days) F-IF.1; F-IF.2; F-IF.3

    I can determine if a

    relation is a function. I

    can evaluate functions

    using function notation. I

    can recognize that

    sequences are functions. x x

    in class instruction;

    practice problems

    Desmos;

    graphing

    calculator

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Students would

    need to be

    familiar with the

    definitions of key

    terms.

    Graphing

    Functions (4

    days) F-IF.4; F-IF.5

    I can find key features of

    a graph using a graph, a

    table, or an equation. Ican relate the domain of

    a function to its graph or

    the relationship it

    describes using real-life

    problems. x x

    in class instruction;

    practice problems

    Desmos;

    graphing

    calculator

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Students would

    need to be

    familiar with the

    definitions of key

    terms.

    Diverse

    Le

    arners

    Instructional

    Sh

    iftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Technology

    Strategies

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 3 Organizer

    Linear Functions

    Page 4

    Fo

    rmative

    Su

    mmative

    Average Rate of

    Change (3 days) F-IF.6

    I can calculate and

    interpret the average

    rate of change of a

    function. x x

    in class instruction;

    practice problems

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    Graphs of Linear

    Functions (2

    days) F-IF.7a

    I can graph a linear

    function and identify its

    intercepts. x x

    in class instruction;

    practice problems Desmos

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    Transformations

    (4 days) F-BF.3

    can en y e e ec oa graph of a function

    through transformations

    with and without

    technology. x x

    in class instruction;

    practice problems

    Desmos;

    graphing

    calculator

    ro ems ovarying difficulty

    are incorporated

    into the problem

    sets.

    How Linear

    Functions

    Change (3 days) F-LE.1a; F-LE.1b

    I can explain how linear

    functions grow by equal

    differences over equal

    intervals. I can recognize

    siutations in which one

    quantity changes at a

    constant rate. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Constructing

    Linear Functions

    (4 days) F-LE.2

    can cons ruc near

    functions and arithmetic

    sequences given a

    graph, a description of

    the relationship, or two

    input-output pairs. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Diverse

    Le

    arners

    Instructional

    Sh

    iftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Te

    chnology

    Strategies

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 3 Organizer

    Linear Functions

    Page 5

    InterpretingLinear Functions

    (2 days) F-LE.5; S-ID.7

    I can interpret the

    parameters of a linearfunction in a real-life

    problem. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporatedinto the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have tointerpret into

    algebraic notation.

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 4 Organizer

    Statistical Models

    Page 6

    Fo

    rmative

    Su

    mmative

    Representing

    Data (3 days)

    S-ID.1; N-Q.1; N-Q.2; N-

    Q.3

    can represen a a w

    plots on the real number

    line (dot plots,

    histograms, and box

    plots). x x

    in class instruction;

    practice problems

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    Data Measures

    (6 days) S-ID,2; S-ID.3

    I can calculate mean and

    median for a given set of

    data. I can calculate the

    interquartile range and

    the standard deviationfor a given set of data. I

    can analyze and

    compare measures of

    center and spread

    between two different

    sets of data. I can

    describe and interpret

    data based on the

    shape, center, and

    spread, accounting for

    possible effects of

    extreme data points. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Students would

    need to be

    familiar with the

    definitions of key

    terms.

    Categorical Data

    (3 days) S-ID.5

    can summarze

    categorical data for two

    categories in two-way

    frequency tables. I can

    interpret relative,

    conditional, joint, and

    marginal frequencies of

    categorical data. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Students would

    need to be

    familiar with the

    definitions of key

    terms.

    Di

    verse

    Le

    arners

    Instructional

    Sh

    iftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Te

    chnology

    St

    rategies

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 4 Organizer

    Statistical Models

    Page 7

    Making and

    Assessing

    Predictions (6

    days)

    S-ID.6a; S-ID.6b; S-

    ID.6c; S-ID.7

    I can represent bivariate

    data using a scatterplot

    and fit a function to the

    data. I can use a fitted

    model to make

    predictions about the

    data. I can assess the fit

    of a function by plotting

    and analyzing residuals. x x

    in class instruction;

    practice problems

    Desmos;

    Graphing

    Calculator

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Students would

    need to be

    familiar with the

    definitions of key

    terms.

    Correlation and

    Causation (3

    days) S-ID.8; S-ID.9

    I can calculate, using

    technology, and interpret

    a correlation coefficient. I

    can distinguish thedifference between

    correlation and

    causation. x x

    in class instruction;

    practice problems

    Desmos;

    Graphing

    Calculator

    Problems of

    varying difficultyare incorporated

    into the problem

    sets.

    Students would

    need to befamiliar with the

    definitions of key

    terms.

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 5 Organizer

    Linear Equations and Inequalities

    Page 8

    Fo

    rmative

    Su

    mmative

    Solving Linear

    Equations (3

    days)

    A-CED.1; A-REI.1; A-

    REI.3

    I can solve a linear

    equation in one variable. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Solving Linear

    Inequalities (4

    days)

    A-CED.1; A-REI.1; A-

    REI.3

    I can solve a linear

    inequality in one

    variable. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as apart of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Solving Linear

    Absolute Value

    Equations (2

    days)

    A-CED.1; A-REI.1; A-

    REI.3

    I can solve an absolute

    value equation in one

    variable. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Solving Linear

    Absolute Value

    Inequalities (3

    days)

    A-CED.1; A-REI.1; A-

    REI.3

    I can solve an absolute

    value inequality in one

    variable. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Diverse

    Le

    arners

    In

    structional

    Sh

    iftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Te

    chnology

    St

    rategies

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 5 Organizer

    Linear Equations and Inequalities

    Page 9

    Manipulating

    Formulas (2

    days) A-CED.4; A-REI.1

    I can solve for a given

    variable in a formula. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Graphing Linear

    Inequalities (3

    days) A-REI.12; N-Q.1

    I can graph a linear

    inequality in two

    variables. x x

    in class instruction;

    practice problems Desmos

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 6 Organizer

    Systems of Linear Equations and Inequalities

    Page 10

    Fo

    rmative

    Su

    mmative

    Systems of

    Linear Equations

    (7 days)

    A-CED.3; N-Q.1; A-

    REI.5; A-REI.6; A-

    REI.11

    can so ve a sys em o

    linear equations by

    graphing. I can solve a

    system of linear

    equations by

    substitution. I can solve

    a system of linear

    equations by addition

    and multiplication. x x

    in class instruction;

    practice problems Desmos

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Systems of

    Linear

    Inequalities (6

    days)

    A-REI.12; N-Q.1; A-

    CED.3

    can so ve a sys em o

    linear inequalities bygraphing. I can write and

    graph a set of

    constraints for a linear-

    programming problem

    and find the maximum

    and/or minimum values. x x

    in class instruction;

    practice problems Desmos

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problemsare included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Instructional

    Strategies Technology

    Strategies

    Diverse

    Learners

    In

    structional

    ShiftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 7 Organizer

    Relationships That Are Not Linear

    Page 11

    Fo

    rmative

    Summative

    Square Root and

    Cube Root

    Function Graphs

    (2 days) F-IF.7b; N-Q.1

    I can graph a square

    root or cube root

    function. x x

    in class instruction;

    practice problems

    Desmos,

    Graphing

    Calculator

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    Piecewise

    Function Graphs

    (5 days) F-IF.7b; N-Q.1

    I can graph a piecewise

    function, including step

    and absolute value

    functions. x x

    in class instruction;

    practice problems

    Desmos,

    Graphing

    Calculator

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    Diverse

    Learners

    In

    structional

    ShiftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Technology

    Strategies

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 8 Organizer

    Polynomial Expressions and Functions

    Page 12

    Fo

    rmative

    Summative

    Parts of an

    Expression (2

    days) A-SSE.1b

    I can identify parts of an

    expression or equation

    in the context of a

    problem. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.ng,

    Subtracting, and

    MultiplyingPolynomials (4

    days) A-APR.1

    I can add and subtractpolynomials. I can

    multiply polynomials. x x

    in class instruction;

    practice problems

    ro ems o

    varying difficulty

    are incorporatedinto the problem

    sets.

    Factoring (10

    days)

    A-SSE.2; A-SSE.3a; A-

    APR.3

    I can factor a quadratic

    expression. I can solve a

    quadratic equation by

    factoring. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Graphing

    Polynomials (3

    days) A-APR.3

    I can use the zeros of a

    function to make a rough

    sketch of the graph. x x

    in class instruction;

    practice problems

    ro ems ovarying difficulty

    are incorporated

    into the problem

    sets.

    Diverse

    Learners

    In

    structional

    ShiftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Technology

    Strategies

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 9 Organizer

    Quadratic Functions

    Page 13

    Formative

    Summative

    Vertex Form (5

    days) A-SSE.3b

    I can use completing the

    square to rewrite a

    quadratic expression into

    vertex form. x x

    in class instruction;

    practice problems Desmos

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    u en s wou

    need to be

    familiar with the

    definitions of key

    terms.

    Graphing

    Quadratic

    Functions (5

    days)

    F-IF.7a; F-IF.8a; A-

    APR.3; A-SSE.3a; A-

    SSE.3b

    can use ac or ng an

    completing the square to

    identify the x-intercepts,

    maximum or minimum

    value, and symmetry of

    the graph of a quadraticfunction. I can graph a

    quadratic function,

    identifying key features

    of the graph. x x

    in class instruction;

    practice problems

    Desmos,

    Graphing

    Calculator

    Problems ofvarying difficulty

    are incorporated

    into the problem

    sets.

    Students wouldneed to be

    familiar with the

    definitions of key

    terms.

    Fitting Quadratic

    Functions to

    Data (3 days) S-ID.6a

    I can fit a quadratic

    model to represent

    bivariate data. x x

    in class instruction;

    practice problems

    Desmos,

    Graphing

    Calculator

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    u en s wou

    need to be

    familiar with the

    definitions of key

    terms.

    D

    iverse

    Learners

    In

    structional

    ShiftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Technology

    Strategies

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 10 Organizer

    Quadratic Equations

    Page 14

    Formative

    Summative

    Rational /

    Irrational Sums

    and Products (2

    days) N-RN.3

    I can explain why sums

    and products are either

    rational or irrational. x x

    in class instruction;

    practice problems

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    Solving byCompleting the

    Square (4 days) A-REI.4a

    I can solve a quadraticequation by completing

    the square. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporatedinto the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have tointerpret into

    algebraic notation.

    Solving by

    Quadratic

    Formula (4 days) A-REI.4a; A-REI.4b

    I can solve a quadratic

    equation by using the

    quadratic formula. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    D

    iverse

    Learners

    In

    structional

    ShiftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Technology

    Strategies

  • 7/22/2019 BLSD Curriculum Map - Algebra 1

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    7/17/2013 Algebra 1 Unit 11 Organizer

    Exponential Functions and Equations

    Page 15

    Formative

    Summative

    Recognizing

    Exponential

    Functions (4

    days) F-LE.1a; F-LE.1c

    I can explain how

    exponential functions

    have grown by equal

    factors over equal

    intervals. I can recognize

    situations in which a

    quantity grows or decays

    by a constant percent. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as a

    part of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Comparing

    Functions (3

    days) F-LE.3

    can compare near

    growth, quadraticgrowth, and exponential

    growth using graphs and

    tables. x x

    in class instruction;

    practice problems

    Desmos,

    Graphing

    Calculator

    ro ems o

    varying difficultyare incorporated

    into the problem

    sets.

    Manipulating

    Exponential

    Functions (2

    days) A-SSE.3c

    I can apply exponent

    properties to rewrite

    exponential functions. x x

    in class instruction;

    practice problems

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    Interpreting

    Parameters (2

    days) F-LE.5

    I can interpet the

    parameters of an

    exponential function in

    real-life problems. x x

    in class instruction;

    practice problems

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.

    Word Problems

    are included as apart of the

    practice set -

    students have to

    interpret into

    algebraic notation.

    Graphing

    Exponential

    Functions (3

    days)

    F-IF.7eI can graph exponential

    functions. x x

    in class instruction;

    practice problems

    Desmos,

    Graphing

    Calculator

    ro ems o

    varying difficulty

    are incorporated

    into the problem

    sets.

    D

    iverse

    Learners

    In

    structional

    S

    hiftsUnit and

    Time Frame Standards

    Evidence of

    Understanding

    Assessment

    Instructional

    Strategies Technology

    S

    trategies

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    7/17/2013 Algebra 1 Unit 11 Organizer

    Exponential Functions and Equations

    Page 16

    Fitting

    Exponential

    Functions to

    Data (3 days) S-ID.6a

    I can fit an exponential

    model to represent

    bivariate data. x x

    in class instruction;

    practice problems

    Desmos,

    Graphing

    Calculator

    Problems of

    varying difficulty

    are incorporated

    into the problem

    sets.