Middle School Math

Julie Swope, M.Ed

 Phil-Mont Christian Academy,  2009 – present

Middle School Mathematics, Algebra 1, Computer Skills
 I want my students to recognize that God is the only eternal truth and that mathematical structure is a created order God has imposed on the universe. I also want them to recognize that math reflects the creative, sustaining and redemptive nature of Christ.

middle school math

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Middle School Mathematical Practice

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and constructively critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.

Sixth Grade Mathematics

Textbook: Digits Grade 6

Publisher: Pearson

Major Concepts

  • Variables and Equations
  • Equivalent Expressions
  • Equations and Inequalities
  • Two-Variable Relationships
  • Multiplying Fractions
  • Dividing Fractions
  • Fluency with Decimals
  • Integers
  • Rational Numbers
  • Ratios
  • Rates
  • Ratio Reasoning
  • Area and Volume
  • Data Displays
  • Measure of Center and Variation


Seventh Grade Mathematics

Textbook:  Digits Grade 7

Publisher: Pearson

Major Concepts

  • Ratios and Rates
  • Proportional Relationships
  • Percents
  • Adding and Subtracting Rational Numbers
  • Multiplying and Dividing Rational Numbers
  • Decimals and Percents
  • Equivalent Expressions
  • Equations
  • Inequalities
  • Angles
  • Circles
  • Area and Volume
  • Sampling
  • Comparing Two Populations
  • Probability Concepts


Eighth grade Algebra

Textbook:  Algebra 1 Common Core

Publisher:  Pearson Mathematics

Blended Learning Algebra Program

Goals of the Algebra Program

  • To give all students the opportunity to take Algebra in eighth grade.
  • To create a more efficient classroom with an emphasis on personalized learning.
  • To give high achieving students the opportunity to move at a faster pace and to be challenged at the appropriate level.
  • To accommodate different learning styles.
  • To build up any skills that students lack while allowing them to be placed in a rigorous course.
  • To promote success in math.
  • To develop consistent homework completion through online game-type assignments.
  • To provide students with the help they need to correctly complete homework assignments.

One of the resources the class will use is the Pearson School Algebra 1 Curriculum. The student edition comes with a digital courseware license which allows students to access their textbook online as well as gain access to helpful videos, review tools, and even an app called Virtual Nerd (a math tutorial support system). Students will have a companion workbook which will help them take notes and stay organized. 

Goals of the Pearson School Algebra 1 Curriculum

For many students who struggle, math shows up as a collection of rules, formulas, and properties that they learn temporarily, forget quickly, and never use again. Students find mathematics meaningless if they don’t see the connections. The curriculum teaches for understanding by incorporating an interwoven strand of thinking and reasoning into problem solving. This connects the math that students learn, from the first lesson to the last. By focusing on thinking, reasoning, and problem solving, students will become more prepared for success in school, in their careers, and in life.  

  • Within each chapter, students will develop answers to the Essential Questions posed and make connections around the Big Ideas.  
  • Pulling It All Together at the end of each chapter, enables students to demonstrate their understanding of the concepts and skills they studied in the chapter lessons and in previous chapters. In doing so, they apply their reasoning strategies and growth as independent problem solvers.
  • Problem-solving strategies are an integral part of the program and are embedded throughout each lesson. The worked-out problems model effective thinking and reasoning strategies and can help foster students’ mathematical reasoning.
  • “Think” and “Plan” call-outs model mathematical reasoning and problem solving for every problem in a lesson. Some reveal “Step Zero,” or the reasoning that goes on before the first step of the solution. Some worked-out problems provide even more support as they model the thinking behind each step of a problem-solving plan.
  • Visuals support students as they analyze complex word problems. They clarify important concepts, and they engage students and encourage them to make connections with real-life situations. Visual learning strategies are a powerful teaching tool for a student’s depth of understanding about mathematics.
  • Visual Instruction increases the learning potential of all students. The Solve It! at the start of each lesson makes use of engaging visuals and real-world examples to help students tap into their prior knowledge and connect it to important concepts in the lesson.

Major Concepts

  • Solving Equations and Inequalities
  • An Introduction To Functions
  • Linear Functions
  • Systems Of Equations And Inequalities
  • Exponents And Exponential Functions
  • Polynomials And Factoring
  • Probability
  • Quadratic Functions and Equations
  • Radical Expressions and Equations



Julie Swope has eighteen years of instructional experience in both mathematics and instrumental music.  Her goal as a teacher is to make mathematics accessible and interesting by incorporating cross-disciplinary connections, hands-on activities and appropriate technology. She has a Bachelor of Music with Elective Studies in an Outside Field (Mathematics) from West Chester University, Pennsylvania Level 1 Teacher Certification in Mathematics grades 7-12 from Delaware Valley College, and a Master of Education in Mathematics grades 7-12 from Arcadia University.  During the summer she teaches Credit Geometry for The Hun School Summer Academic Session. She is currently in her eighth year as the teacher of Middle School Mathematics and Computer Skills at Phil-Mont Christian Academy.



Digits Realize

Algebra 1 Common Core