# Middle School Math

The Branch Middle School Math program teaches students to think critically, problem solve, and apply their understanding of mathematics. Students become confident in their abilities as mathematicians. In addition to daily mathematical study, students are given the opportunity to apply their understanding of the concepts they learn in class through individual and group projects.

Students who are placed in Pre-Algebra as seventh graders will then take Algebra 1 as eighth graders with the goal of placing out of high school Algebra 1.

## Fifth Grade

The fifth grade *Everyday Mathematics 4* units focus on the procedures, concepts, and applications in three critical areas. Those areas are:

- Developing addition and subtraction fluency with fractions, and understanding multiplication and division of fractions.
- Developing fluency with decimal operations, and extending division to 2-digit divisors, integrating decimals into the place-value system, and understanding operations with decimals to hundredths.
- Developing an understanding of volume.

Lessons in fifth grade address the following standards:

- Operations and Algebraic Thinking
- Write and interpret numerical expressions.
- Analyze patterns and relationships.

- Number Operations in Base Ten
- Understand the place value system.
- Perform operations with multi-digit whole numbers and with decimals to hundredths.

- Number and Operations – Fractions
- Use equivalent fractions as a strategy to add and subtract fractions.
- Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

- Measurement and Data
- Convert like measurement units within a given measurement system.
- Represent and interpret data.
- Geometric measurement: Understand concepts of volume and relate volume to multiplication and to addition.

- Geometry
- Graph points on the coordinate plane to solve real-world and mathematical problems.

## Sixth Grade

In sixth grade, *Everyday Mathematics 4 *focuses on the procedures, concepts, and applications in four critical areas. Those areas are: connecting ratios and rate to whole number multiplication and division, completing the understanding of division of fractions and expanding to a system of rational numbers which includes negative numbers, writing, interpreting, and using expressions and equations, and developing an understanding of statistical thinking. Lessons in sixth grade cover the following standards:

- Ratios and Proportional Relationships
- Understanding ratio concepts and use ratio reasoning to solve problems.

- The Number System
- Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
- Compute fluently with multi-digit numbers and find common factors and multiples.
- Apply and extend previous understandings of numbers to the system of rational numbers.

- Expressions and Equations
- Apply and extend previous understandings of arithmetic to algebraic expressions.
- Reason and solve one-variable equations and inequalities.
- Represent and analyze quantitative relationships between dependent and independent variables.

- Geometry
- Solve real-world and mathematical problems involving area, surface area, and volume.

- Statistics and Probability
- Develop understanding of statistical variability.
- Summarize and describe distributions.

## Seventh Grade - Pre-Algebra

Seventh grade students are assessed and placed in seventh-grade math or Pre-Algebra. Both math programs are taught with textbooks by noted authors, Ron Larson and Laurie Boswell. These programs develop a deeper understanding of mathematical concepts and help students extend their math knowledge.

In seventh grade math, students are taught to work with integers, rational numbers, inequalities, ratios, proportions and percents. In addition students study circles, surface area, volume and probability and statistics.

In Pre-algebra, students gain a foundation in algebra while preparing them for future courses in geometry, probability and data analysis. They study variables, expressions, integers and rational numbers, learn to solve multi-step equations and inequalities, work with percents, ratios, proportions, probability and linear functions. Students also study real numbers and right triangles as well as area, volume, angle relationships and transformations.

All students also engage in monthly projects based on the current unit of study that help them see real-life uses of the concepts they are learning.

## Eighth Grade - Pre-Algebra or Algebra 1

Eighth grade students are placed in Pre-Algebra or Algebra I. Both programs are taught with the Holt McDougal Larson programs. These programs develop a deeper understanding of mathematical concepts to help students extend their math knowledge. This allows students to move past just doing math into understanding and explaining math.

In Pre-Algebra, students gain a foundation in algebra while preparing them for future courses in geometry, probability and data analysis. They study variables, expressions, integers and rational numbers, learn to solve multi-step equations and inequalities, work with percents, ratios, proportions, probability and linear functions. Students also study real numbers and right triangles as well as area, volume, angle relationships and transformations.

Algebra I is a high school level course in which students may gain high school credit with a grade of B or better. In this course, students gain an understanding of families of functions with special emphasis on linear and quadratic functions. They learn to represent functions verbally, with equations, tables and graphs. They learn to model real-world problems using functions. Students also study probability and data analysis as well as geometry. Extended lessons also deal with exponential functions, polynomials and factoring.

All students also engage in monthly projects based on the current unit of study that help them see real-life uses of the concepts they are learning.