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Home › Courses › Pre-Algebra › Archive for Chapter 8: Relations & Functions, Slope, Lines, and Graphing
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Chapter 8: Relations & Functions, Slope, Lines, and Graphing

This chapter is a spring board into your studies in Algebra 1 of functions and linear equations. You will start with graphing data from tables and learn to describe and predict patterns and sequences. The next stop involves writing function rules and learning all the ins and outs of relations, functions, domain, range, and the vertical line test. The chapter rolls into the all-important study of graphing linear equations before you rock arguably the most important concept in all of Mathematics – slope or rate of change. From here you will learn all about slope-intercept form (y=mx+b), which is super rad!! The chapter closes out with a thorough introduction into solving systems of linear equations and linear inequalities by graphing. This chapter is filled with important yet also very cool Algebraic concepts. Time to rock your studies!

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Lesson 1 – Graphing Data and Making Predictions

Posted on April 18, 2019 by PSM-MattG
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Posted in Chapter 8: Relations & Functions, Slope, Lines, and Graphing

Lesson 2 – Patterns and Sequences

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Lesson 3 – Writing and Evaluating Function Rules

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Lesson 4 – Intro to Relations, Functions, Domain, and Range

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Lesson 5 – Functions, Rules, and Graphs

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Lesson 6 – Interpreting and Sketching Graphs of Real-World Situations

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Lesson 7 – Graphing Linear Equations

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Lesson 8 – Rate of Change and Slope

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Lesson 9 – Slope Intercept Form: y=mx+b

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Lesson 10 – Solving Systems of Linear Equations by Graphing

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Lesson 11 – Graphing Linear Inequalities

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Posted in Chapter 8: Relations & Functions, Slope, Lines, and Graphing
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    October 3, 2017
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    January 19, 2018
  • If you are looking for an enthusiastic teacher who makes understanding math easy then look no further. Matt came to our rescue when my daughter was struggling in AP Calculus BC. Not only was he able to boost her grade to an A, she also scored a 5 on her AP exam for both Calculus AB and BC. Also, My son went to his SAT class over the summer and after every class he said how much he enjoyed Matt and was excited about what he learned. I will continue to give Matt the highest recommendation which is rare for me since I am a math teacher myself. He is excellent!

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    June 12, 2017
  • Matt has helped my son immensely in preparing both for the SATs and the AP Calculus BC exam. He has a way of explaining and teaching math that kept my son excited and energized to learn more. My son did extremely well on his SATs and was strong in Calculus, all thanks to Matt and his care for his students. If you are need for math help for your child, look no further!

    Susan Heller Steiner Avatar Susan Heller Steiner
    May 17, 2019

    After class with Mr. Groden, I felt more than prepared for my exams. In class, we had covered every type of problem we could expect to see and received ample explanation of its solution. On the day of the test, I was calm knowing Mr. Groden had prepared me well for any problem that could be on the exam. In addition to giving me confidence going into one of the most difficult exams I had taken, Mr. Groden gave me a deeper appreciation and understanding of mathematics. He gave me the ability to visualize complex concepts more than any other teach I had and problem solving techniques that I continue to use. Beyond being ready for my exams, I was ready to understand more difficult math in high school and college.

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    January 16, 2017
  • positive review  Matt truly cares about each student. My son took his SAT prep course and his math section increased 90 points. There was great communication after each course session as the teachers would email what was covered, what to do next, and an overview of future class. He was always there to answer any question my son ( and I) had.

    Amy Ruta Avatar Amy Ruta
    March 26, 2019

    Because he was in this class, my son spent more time doing SAT practice tests this summer than he otherwise would have. I didn't have to "nag" him to do practice tests...so, I appreciate that! He ended up knowing alot of the kids in the class, so he enjoyed it. It was also nice to do this in the summer when his schedule was less-busy. The teachers are high energy, well-respected and admired by the kids.

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    September 7, 2017
  • Mr. Groden came to our family's rescue not once...but twice. Both kids struggled in pre calc and we were fortunate to be put in touch with Mr. Groden. First Mr. Groden worked with my son in parallel pre calc and just recently he has helped my daughter in honors pre calc. Mr. Groden is able to really connect with his clients and explain math concepts in a way that my kids were able to understand. They both said "it clicked" and that's exactly what I wanted to hear. He took them from struggling to confident, with both kids ending out the course successfully (well...my daughter is nearing the end;).

    Kristin Schoenleber Avatar Kristin Schoenleber
    April 25, 2017

    Both of our sons were extremely fortunate to have Mr. Groden for AP Calculus. He is enthusiastic, clear and an all-around outstanding teacher. He motivates his students and consistently shows great interest in their well being, both in and out of the classroom. Both our sons were extremely well prepared for the AP exam. Thank you!

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    January 16, 2017
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      ▼
      • 6th Grade Math
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Whole Numbers & Decimals
        • Chapter 2: Representing Data In Different Ways
        • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
        • Chapter 4: Divisibility, Factoring Numbers, & Fractions
        • Chapter 5: Addition and Subtraction of Fractions
        • Chapter 6: Multiplication and Division of Fractions
        • Chapter 7: Ratios, Proportions, and Percents
        • Chapter 8: Fundamentals of Geometry
        • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
        • Chapter 10: Introduction to Probability
        • Chapter 11: Integers – Properties, Operations, & Equations
        • Chapter 12: Two-Step Equations and Inequalities
      • Pre-Algebra
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions & Operations with Integers
        • Chapter 2: One-Step Equations & Inequalities
        • Chapter 3: Operations and Equations With Decimals
        • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
        • Chapter 5: Fraction Operations & Solving Equations with Fractions
        • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
        • Chapter 7: Solving Equations and Inequalities
        • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
        • Chapter 9: Foundations of Geometry
        • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
        • Chapter 11: Right Triangles and An Introduction to Trigonometry
        • Chapter 12: Data Analysis: Techniques and Calculations
        • Chapter 13: Probability, Combinations, and Permutations
        • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
      • Algebra 1
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions and Operations with Real Numbers
        • Chapter 2: Solving Equations – From One-Step to Multi-Step
        • Chapter 3: Ratios, Proportions, & Percents
        • Chapter 4: Solving Inequalities
        • Chapter 5: Introduction to Graphs and Functions
        • Chapter 6: Linear Functions and Graphing Lines
        • Chapter 7: Systems of Linear Equations and Linear Inequalities
        • Chapter 8: Exponent Rules & Exponential Functions
        • Chapter 9: Polynomials
        • Chapter 10: Graphing and Solving Quadratic Equations
        • Chapter 11: Introduction to Rational Expressions
        • Chapter 12: Radicals and An Introduction to Trigonometry
        • Chapter 13: Data Analysis: Techniques and Calculations
        • Chapter 14: Probability, Combinations, and Permutations
      • Calculus 1 & 2 / AB / BC
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1 – Limits
        • Chapter 2 – Derivatives
        • Chapter 3 – Uses of the Derivative
        • Chapter 4 – Integration
        • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
        • Chapter 6 – Differential Equations and Exponential & Logistic Growth
        • Chapter 7 – Area, Volume, and Arc Length
        • Chapter 8 – Advanced Integration Techniques and Improper Integrals
        • Chapter 9 – Series and Tests for Convergence and Divergence
        • Chapter 10 – Taylor Polynomials and Power Series
        • Chapter 11 – The Calculus of Parametric and Polar Equations
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