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Preparation for 42104 Work Session

By Vincent Hawkins,2014-04-17 23:04
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Preparation for 42104 Work Session

    Algebra I

    Patterns, Relationships, and Functions

    Standards Benchmarks Key Concepts

    Vocabulary Patterns slope, intercepts ; Recognize and extend sequences of repeated

    addition and subtraction

    ; Use tables/charts and graphs to represent Example problems:

    patterns the handshake

    ; Use linear graphs to make predictions problem;

    triangular number ; Explore characteristics of linear functions

    pattern; ; Use patterns to solve problems

    telephone/rumor patterns

Variability and variable rate, constant ; Understand rate of change as constant or

    Change rate, function, f(x) variable

    notation, linear

    ; Examine patterns of change in linear functions function, non-linear

    ; Understand and use function notation function

     ; Classify functions as linear or non-linear

    Example problems: ; Solve problems about variability and change

    growth and decay;

    enlarge and reduce

    pictures

    Geometry and Measurement

    Standards Benchmarks Key Concepts

    Vocabulary Shapes and linear, parabolic ; Use shape to identify graphs as linear or

    Shape parabolic

    Relationships

    Position Example problem: ; Use Cartesian coordinates to locate and

    describe objects projectile motion

    ; Use position to describe and solve problems

    Measurement distance formula, ; Use formulas to calculate length, area, and

    Pythagorean Theorem volume

    ; Use proportions and ratios to calculate indirect

    measurements

    ; Apply knowledge of measurement to everyday

    situations, including metric and U.S. customary

    This curriculum poster represents the MASER curriculum completed January, 2001. New High School Content Expectations for Michigan are expected in April, 2006. Visit www.michigan.gov/mde for updated information.

Algebra I 1

    Algebra I

    Data Analysis and Statistics

    Standards Benchmarks Key Concepts

    Vocabulary

    Collection, ; Explore sample data in order to make graphs Organization, and draw conclusions

    and ; Organize data using tables, charts, graphs, Presentation spreadsheets, and databases

    of Data

    ; Present data using the most appropriate

    representation

    ; Collect, organize, and present data to solve

    problems

Description mean, median, mode, ; Determine measures of central tendency

    and range ; Draw conclusions from tables, charts, and Interpretation graphs

Inference and interpolation, ; Make and test hypotheses about the effects the

    Prediction extrapolation change in a coefficient has on a linear or

    quadratic graph

    ; Make predictions and decisions based on linear

    data

    ; Use linear functions to make inferences and

    predictions and to answer questions and solve

    problems

    This curriculum poster represents the MASER curriculum completed January, 2001. New High School Content Expectations for Michigan are expected in April, 2006. Visit www.michigan.gov/mde for updated information.

Algebra I 2

    Algebra I

    Number Sense and Numeration

    Standards Benchmarks Key Concepts

    Vocabulary

    rational number, ; Explore the difference between rational and Concepts and

    irrational number, irrational numbers Properties of

    associative property, Numbers ; Develop an understanding of the properties of

    commutative property, real numbers

    additive and ; Solve problems involving real-world situations

    multiplicative identities,

     distributive property,

    properties of equality

    and inequality

    ; Determine appropriate usage of decimal Representation scientific notation, roots

    representations of rational and irrational numbers and Uses of (esp. square, cube)

    ; Use properties of exponents and roots to Numbers

    estimate products and quotients

; Express numerical comparisons as ratios, rates, Number

    ; and proportions Relationships

    ; Factor algebraic expressions

    ; Express number relationships using integral

    (positive and negative) exponents

    ; Solve real-world problems

    This curriculum poster represents the MASER curriculum completed January, 2001. New High School Content Expectations for Michigan

    are expected in April, 2006. Visit www.michigan.gov/mde for updated information.

    Algebra I 3

    Algebra I

Numerical and Algebraic Operations

    and Analytical Thinking

    Standards Benchmarks Key Concepts

    Vocabulary

    polynomial, zero Operations ; Model operations with algebraic expressions

    product property, and Their ; Compute with algebraic expressions: inverses (+/x), Properties

    ; Describe properties of operations identities,

    commutativity, ; Problem solve with algebraic expressions

    associativity,

    distributive property

    linear equations, Algebraic and ; Represent relations among variables with

    inequalities, dependent, Analytic algebraic symbolism

    independent, range, Thinking ; Solve equations, systems of equations, and domain, ascending,

    inequalities descending

    ; Solve real-world problems

    Solving equations:

    graphing, addition,

    addition with

    multiplication,

    substitution, no

    solution, infinite real

    solutions

    This curriculum poster represents the MASER curriculum completed January, 2001. New High School Content Expectations for Michigan

    are expected in April, 2006. Visit www.michigan.gov/mde for updated information.

    Algebra I 4

    Algebra I

    Probability and Discrete Mathematics

    Standards Benchmarks Key Concepts

    Vocabulary

    theoretical probability, ; Develop an understanding of randomness and Probability

    experimental probability chance variation, and give a mathematical

    definition of probability

    ; Conduct probability experiments and use

    sampling and simulations to determine empirical

    probabilities

    union, intersection, Discrete ; Apply the counting principle and compute with

    subset, Venn diagram Mathematics factorials

    ; Calculate and apply permutations and

     combinations

    ; Use sets and relationships to represent algebraic

     concepts

    ; Design and use algorithms to solve problems

    ; Use discrete mathematics concepts to model

    situations and solve problems

    This curriculum poster represents the MASER curriculum completed January, 2001. New High School Content Expectations for Michigan

    are expected in April, 2006. Visit www.michigan.gov/mde for updated information.

    Algebra I 5

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