Download Honors Algebra 1 - J.O. Combs Unified School District

21st Century Learning Mathematics Standard
J.O. Combs Unified School District #44
High School: Honors Algebra 1
Honors Algebra 1 explores mathematical concepts at a faster pace and a greater depth and breadth than
Algebra 1. Areas of extension include the use of graphing calculators and writing and using algebraic models
to solve real-life problems. This rigorous course is designed to prepare students who excel in mathematics for
future honors courses.
1. NUMBER SYSTEMS
• HALG1.1.1 Applies the properties of real numbers.
• HALG1.1.2 Classifies a number in the real number system.
• HALG1.1.3 Converts a repeating decimal into the ratio of two integers.
2. EXPRESSIONS
• HALG1.2.1 Uses the order of operations to simplify and/or evaluate an expression (required: absolute
value).
• HALG1.2.2 Translates between verbal and algebraic expressions.
• HALG1.2.3 Evaluates application problems (required: surface area and volume).
3. SOLVING LINEAR EQUATIONS
• HALG1.3.1 Translates between verbal and algebraic equations.
• HALG1.3.2 Solves linear equations (required: proportions and solving for y).
• HALG1.3.3 Analyzes, explains, and corrects an error when solving a linear equation.
4. GRAPHING LINEAR EQUATIONS
• HALG1.4.1 Graphs in two variables.
• HALG1.4.2 Graphs the equation of a line in slope-intercept, point-slope, and standard form without
creating a table of values.
• HALG1.4.3 Finds the slope given a linear graph and critical information.
• HALG1.4.4 Determines if a set of data represents a constant rate of change.
5. WRITING EQUATIONS OF LINES
• HALG1.5.1 Writes the equation of a line in point-slope, slope-intercept (required: from a graph and
given critical information).
• HALG1.5.2 Writes the equation of parallel and perpendicular lines.
• HALG1.5.3 Rewrites the equation of a line into slope-intercept, point-slope, and standard form.
• HALG1.5.4 Defines variables, sets up an equation, solves, and analyzes linear application problems
(required: rate of change).
6. ABSOLUTE VALUE IN ONE VARIABLE
• HALG1.6.1 Solves absolute value equations in one variable.
• HALG1.6.2 Solves absolute value inequalities in one variable.
7. ABSOLUTE VALUE IN TWO VARIABLES
• HALG1.7.1 Graphs absolute value functions.
• HALG1.7.2 Graphs absolute value inequalities.
• HALG1.7.3 Solves absolute value equations in two variables.
• HALG1.7.4 Solves absolute value inequalities in two variables.
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8. SYSTEM OF LINEAR EQUATIONS
• HALG1.8.1 Defines variables, sets up, and solves application problems of a system (required: distant
rate time, mixture, and percentage)
• HALG1.8.2 Solves and analyzes a system of equations (required: elimination and substitution).
9. LINEAR INEQUALITIES
• HALG1.9.1 Solves linear inequalities in one variable
• HALG1.9.2 Graphs linear inequalities in one variable.
• HALG1.9.3 Graphs in two variables (required: linear inequalities and systems of inequalities).
• HALG1.9.5 Solves application of linear inequalities in two variables (required: linear programming).
10. EXPONENTS
• HALG1.10.1 Uses the properties of exponents (required: scientific notation).
11. GRAPHING QUADRATIC FUNCTIONS
• HALG1.11.1 Simplifies radical expressions to equivalent forms (required: addition, subtraction,
multiplication, and division).
• HALG1.11.2 Solves quadratic equations (required: by extracting the square root, factoring,
completing the square, and the quadratic formula).
• HALG1.11.3 Graphs a quadratic function (required in vertex form and standard form using
transformations).
12. APPLICATION OF QUADRATIC FUNCTIONS
• HALG1.12.1 Sets up, writes the equation, and solves quadratic application problems (required:
position function).
• HALG1.12.2 Writes the equation of a quadratic function (required: given three points, a vertex and a
point, and given x-intercepts).
13. POLYNOMIALS
• HALG1.13.1 Factors a polynomial (required: greatest common factors, grouping, and quadratic like).
• HALG1.13.2 Performs operations on polynomial expressions (required: adding, subtracting, and
multiplying).
14. FUNCTIONS
• HALG1.14.1 Determines if a relation is a function numerically and graphically.
• HALG1.14.2 Determines domain and range of a function given an output table or graph.
• HALG1.14.3 Evaluates a function using function notation for a given integer.
• HALG1.14.4 Performs operations on functions (required: composition of linear/quadratic functions).
15. RATIONAL FUNCTIONS
• HALG1.15.1 Simplifies rational expressions (required: adding, subtracting, multiplying, and
dividing).
• HALG1.15.2 Solves rational equations (required: determine domain restrictions).
• HALG1.15.3 Graphs rational functions (required: vertical asymptotes and horizontal asymptotes of
the x-axis).
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