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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

; 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

; 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:

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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