Integrated Math 1

Avon Lake City Schools

Curriculum Framework

Integrated Math 1

Course Overview:

Integrated Math I (9, 10, 11, 12) - 2 semesters - .50 credit each semester This course is designed primarily for those students not prepared to meet the challenge of Algebra I. It differs from Algebra I in its pace and fewer applications. Probability, statistics, and geometry will be incorporated into the curriculum. A scientific calculator is required for this course (but a graphing calculator is recommended). This class meets one period daily for &frac(1/2) unit credit each semester.

Textbook (Title and Publishing Company): Pearson Algebra 1

Online/Supplemental Materials: Google Classroom, DeltaMath

Assessments: Common assessments are given across all Integrated 1 courses

Content/Topics/Learning Goals

Subject to Pacing and Schedules

1st Quarter

Rational Numbers

  • Add, subtract, multiply, and divide whole numbers, fractions, and decimals.

Order of Operations

  • One-step, two-step, multi-step, and variables on both sides.

Solving equations

  • Including problems with the distributive property, combining like terms, and absolute values.

Solving one variable inequalities

  • Two-step, multi-step, variables on both sides, compound.
  • Express answers in interval notation and provide a graph.

Absolute value equations

  • Absolute value inequalities
  • One variable

2nd Quarter

Modeling scenarios

  • Graph
  • Table
  • Equation

Graphing by making a table

  • Include linear, quadratic, and exponential examples
  • Include domain and range
  • Relations
  • Set of ordered pairs, mapping, graphs, and tables

Functions

  • Determining if a relation is a function
  • Vertical Line Test
  • Evaluating functions
  • Evaluating should include finding function value of a given graph

Slope

  • Include applications with average rate of change
  • Graphing linear equations
  • Problems should start in many different forms
  • Writing the equation of a line
  • Must include slope-intercept and standard form.

Introduction to transformations

  • Graphing Absolute Value functions using transformations

Inverse functions

  • Limit to sets of ordered pairs and linear functions
  • One to One function
  • Horizontal Line test

Scatter Plots

  • Types of correlation

Line of best fit/prediction equations

  • By hand
  • Using linear regression on graphing calculator (shown in class)

3rd Quarter

Solve systems by graphing

  • When does a system have 1 solution, no solution, or infinitely many solutions
  • Use graphs to find intersection points

Solving systems by substitution

  • Include basic applications

Solving systems by elimination

  • Include basic applications

Graphing Linear Inequalities

Solving Systems of inequalities

Exponent Rules

4th Quarter

Polynomial operations

  • Adding/Subtracting
  • Distributing

The Distributive Property

Binomials * Trinomials

Factoring

  • Introduction
  • GCF
  • Zero Product Property

Factor by grouping

Factoring the difference of two squares

Solve by factoring

Factoring trinomials

Solve equations by factoring trinomials (as time permits)

Last Updated: September, 2023