Download Math ( 2008 ) > Algebra 1

Mathematics Curriculum
Algebra 1
Course Description: Emphasis in this course is placed upon the structure and
SAMS
- Standards
Alignment
and Management System Exit SAMS
properties of the real number system, solving and
graphing
linear and
quadratic
equations and inequalities, multiplying and factoring polynomials, developing the
function concept, and applying algebra to practical problems.
Materials Used:
> Math ( 2008 ) > Algebra 1
1: Understand, apply, and communicate strategies and reasoning in the problem solving process.
MAL.1.1 Translate verbal sentences
Convert words and phrases into algebraic symbols, expressions, equations, inequalities
MAL.1.2 Solve a variety of application problems
Distance
Simple interest
Area
Volume
Temperature
MAL.1.3 Solve contextual problems
Proportions
Consecutive integers
MAL.1.4 Translate words and graphs into inequalities
MAL.1.5 Recognize Linear, Exponential, Quadratic equations
Equations, graphs
2: Understand, apply, and communicate the properties of numbers and operations.
MAL.2.1 Perform operations on integers (phasing out as CCS are implemented)
Add, subtract, multiply and divide.
MAL.2.2 Simplify and evaluate expressions, equations and inequalities (phasing out as CCS are
implemented)
Using order of operations
Using exponents
MAL.2.3 Compare, order and graph Real numbers (phasing out as CCS are implemented)
Include fractions and decimals
Absolute value, opposites, velocity
MAL.2.4 Recognize and apply properties of Real numbers
Identity of Addition
Property of Opposites
Commutative Property
Associative Property
Identity of multiplication
Multiplication property of zero
Multiplication property of -1
Inverse of multiplication
MAL.2.5 Apply the Distributive Property
MAL.2.6 Identify and simplify like terms
MAL.2.7 Simplify radicals
Product and quotient properties
MAL.2.8 Use properties of rational and irrational numbers (new)
Include rationals and irrationals (their sums/differences/products) (new)
3: Understand, apply and communicate the concepts of geometry.
MAL.3.1 Use the Pythagorean Theorem and its converse (phasing out as CCS are implemented)
MAL.3.2 Use basic right triangle trigonometry to form ratios (sin, cos, tan) (phasing out as CCS are
implemented)
4: Understand, apply and communicate the concepts of measurement.
5: Understand, apply, and communicate the concepts of statistics and data analysis.
Represent data with plots on the number line (dot plots, histograms, box plots)
Use statistics to compare center (median, mean) and spread (IQR, standard deviation) (new)
Interpret differences in shape, center, and spread of data (outliers) (new)
Summarize data and recognize trends (new)
6: Understand, apply, and communicate the concepts of probability.
7: Understand, apply, and communicate the concepts of algebra.
MAL.7.1 Understand and identify a function
Domain, range, input, output
Tables, mappings, graphs
MAL.7.2 Solve one and two step equations
Inverse operations
Fractions and decimals
MAL.7.3 Solve multiple step equations
Distribute
Variables on both sides
Solutions of empty set and all real numbers
MAL.7.4 Understand the meaning of Linear
MAL.7.5 Graph a linear equation using a variety of methods
Coordinates, quadrants, intercepts
Table, slope-intercept form
MAL.7.6 Calculate the slope of a line
Given two points
Use rise/run
Solve for missing variable given the slope
MAL.7.7 Convert equations into slope-intercept form and identify the slope and y-intercept
MAL.7.8 Solve contextual problems including parallel and perpendicular lines
MAL.7.9 Write a linear equation in slope-intercept form
Given a graph
Given slope & y-intercept
Given 2 points
Given a point and the equation of a parallel or perpendicular line
MAL.7.10 Write an equation in standard form
MAL.7.11 Solve a variety of contextual problems
Correlation
Line of best fit (include computing the correlation coefficient) (new)
MAL.7.12 Graph inequalities on a number line
Simple
Compound
MAL.7.13 Solve one-variable inequalities
Simple
Compound
Absolute value
MAL.7.14 Graph two-variable inequalities
MAL.7.15 Understand the concept of system and their solutions
MAL.7.16 Solve systems of equations/inequalities
Graphing, substitution, linear combination
Special systems
Graphing systems of inequalities
MAL.7.17 Solve contextual systems of equations
MAL.7.18 Simplify expressions using rules of exponents
Include rational exponents and re-writing radicals with rational exponents (new)
MAL.7.19 Graph an exponential function
MAL.7.20 Write and solve exponential growth and decay problems
MAL.7.21 Simplify polynomials
Add, subtract, multiply
MAL.7.22 Factor trinomials
Basic, GCF, cubes, grouping and completing the square (new)
Zero product property to find roots
MAL.7.23 Solve quadratics using Zero Product Property
MAL.7.24 Solve a quadratic equation
Using inverse operations, square roots, quadratic formula, factoring, graphs
Solve linear and quadratic intersections (for example a line and a parabola) (new)
MAL.7.25 Graph a quadratic equation
By hand, using a graphing calculator
MAL.7.26 Solve contextual problems
Vertical motion
MAL.7.27 Building functions
Graph square root, cube root, piecewise and absolute value functions (new)
Write a function that describes a relationship between two quantities (new)
Build new functions from existing functions, include inverse functions (new)
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