Honors 1 Algebra I

Scope & Sequence

NCTM Standards covered in this course:

  • Understanding numbers, ways of representing numbers, relationships among numbers, and number systems.
  • Understanding Meanings of operations and how they relate to one another.
  • Compute fluently and make reasonable estimates.
  • Understand patterns, relationships, and functions
  • Represent and analyze mathematical situations and structures using algebraic symbols
  • Use mathematical models to represent and understand quantitative relationships
  • Analyze change in various contexts
  • Understand measurable attributes of objects and the units, systems, and processes of measurement
  • Apply appropriate techniques, tools, and formulas to determine measurement
  • Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
  • Problem Solving
  • Reasoning and Proof
  • Communication
  • Connections
  • Representation

Kentucky State Standards covered in this course:

  • Mathematical Communication and Reasoning
  • Technology
  • Number Concepts
  • Mathematical Procedures
  • Problems Solving
  • Connect and Integrate Knowledge

Solving Equations (8 days)

  • Solving one step equations(2-1)
  • Solving two step equations(2-2)
  • Solving multi-step equations(2-3)
  • Solving equations with variables on both sides(2-4)
  • Literal equations and formulas(2-5)
  • Solving Word problems with equations including: (Teacher produced)
  • Distance Rate Time
  • Same Direction Travel
  • Opposite Direction Travel
  • Round Trip Travel
  • Defining one variable in terms of another
  • Consecutive Integer

Solving Equations – Part 2 (5 days)

  • Ratios and rates(2-6)
  • Solving proportions(2-7)
  • Proportions and similar figures(2-8)
  • Percents(2-9)
  • Change expressed as a percent(2-10)

Solving Inequalities (7 days)

  • Inequalities and their graphs (3-1)
  • Solving inequalities using addition and subtraction(3-2)
  • Solving inequalities using multiplication and division(3-3)
  • Solving multi-step inequalities(3-4)
  • Compound inequalities(3-6)
  • Absolute value equations and inequalities(3-7)

Functions (12 days)

  • Graphing in the coordinate plane(1-9)
  • Using graphs to relate two quantities(4-1)
  • Patterns and linear functions(4-2)
  • Input/ Output
  • Domain/ Range
  • Dependent/ Independent
  • Patterns and nonlinear functions(4-3)
  • Graphing a function rule(4-4)
  • Writing a function rule(4-5)

Linear Functions (9 days)

  • Rate of change and slope(5-1)
  • Direct Variation (5-2)
  • Slope-intercept form(5-3)
  • Graphing a linear function
  • Writing a linear function from a graph
  • Writing a linear function given the slope and a point
  • Writing a linear function given two points
  • Standard form(5-5)
  • Real World Applications
  • Parallel and perpendicular lines(5-6)
  • Scatter plots and trend lines(5-7)

Systems of Equations and Inequalities (9 days)

  • Solvingsystems by graphing(6-1)
  • Solving systems using substitution(6-2)
  • Solving systems using elimination (6-3)
  • Applications of linear systems(6-4)
  • Age
  • Coins
  • Tickets/prices
  • Linear inequalities (6-5)
  • Systems of linear inequalities(6-6)

Exponents (5 days)

  • Zero and negative exponents(7-1)
  • Multiplying powers with the same base(7-2)
  • More multiplication properties of exponents(7-3)
  • Division properties of exponents(7-4)

Polynomials and Factoring (9 days)

  • Adding and subtracting polynomials(8-1)
  • Multiplying and factoring(8-2)
  • Multiplying binomials(8-3)
  • FOIL
  • Distributive property
  • Multiplying Special Cases (8-4)
  • Factoring Trinomials when A=1(8-5)
  • Factoring Trinomials when A>1and all signs are positive(8-6)
  • Factoring special cases(8-7)

Quadratic Functions and Equations (6 days)

  • Quadratic Graphs and Properties (9-1)
  • Quadratic Functions (9-2)
  • Solving Quadratic Equations (9-3)
  • Factoring to Solve Quadratic Equations (9-4)
  • The Quadratic Formula and the Discriminant (9-6)

Radical Expressions (5 days)

  • Simplifying radicals(10-2)
  • Operations with radical expressions(10-3)
  • Solving radical equations(10-4)

Rational Expressions and Equations

  • Simplifying Rational Expressions (11-1)
  • Multiplying and Dividing Rational Expressions (11-2)
  • Dividing Polynomials (11-3)
  • Adding and Subtracting Rational Expressions (11-4)
  • Solving Rational Equations (11-5) (If time allows)

Outcomes for Honors Algebra 1

1)Students will be able to solve equations, inequalities, systems and functions.

2)Students will be able to analyze and graph linear equations.

3)Students will be able to perform operations with polynomials.

4)Students will be able to simplify radical expressions and exponents.

Revised August 2017