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 ½ 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

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

  • Solving equations

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

  • 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