# Pre-Algebra (offered in 2019-20)

## Why Study Pre-Algebra?

Our goal for Pre-Algebra at New Hope is to create a fun, “hands-on” atmosphere where the concepts of middle school math can be mastered while exploring the more in-depth mathematical topics approaching in Algebra 1 and other high school math courses. Mathematics is all around us, and promoting a love of and comfort with math at an early age is so important. We will accomplish that in Pre-Algebra with not only problem-solving work, but also “hands-on”, interactive classrooms. By incorporating “flipped classrooms”, projects, exploratory activities and labs, we will help connect the students in a more concrete way to the concepts covered each day.

## COURSE SUMMARY

Pre-Algebra will guide you through, among other things integers, one-step/multi-step equations and inequalities, graphs and functions, percents, fractions, and probability. We will also gain insight into High School Geometry, introducing topics such as theorems around triangles (especially right triangles), similarity concepts with proportions and proofs. This year we will master the important mathematical concepts needed as a basis for High School math while having fun and re-enforcing our basic math skills.

## Major Topics covered

Real/Natural/Whole numbers

Rules for integer operations (fractions, decimals, negative numbers)

Translating between fractions/decimals/percent

Properties of operations

Ratios/Proportions

Integer roots/exponents

Introduction to variables

Basic equations (solving one/two-step equations)

Inequalities, what they represent, solving inequalities

Absolute value equations

Graphing in the coordinate plane

Functions

Geometry

Surface Area/volume

Triangles

Similarity/proportions

Right triangles

## Major skills developed

Fundamentals of Pre-Algebra

Study skills and organization

Independent work ethic

Hands on learning emphasizes practical application of concepts

Students will apply the tools and the language of math to solve a variety of problems, especially as they move into algebraic concepts

## TEXTBOOK

*McDougal Littell Pre-Algebra: Student Edition 2005*

ISBN-13:** **978-0618250035

*McDougal Littell Pre-Algebra: Practice Workbook, Student Edition *

ISBN-13: 978-0618257522

## Assessment Exam

MS Math/PreAlgebra Placement Test (see link below).

This exam helps us to place math students where they will be encouraged and challenged but not overwhelmed in their learning. The test is designed to check a variety of concepts at a variety of levels.

Please have your child take the test unaided (no parent help or calculator). Complete **only the following problems **rather than completing the entire test: **#21-40 and #61-80. **

Encourage your child to do his/her very best, but not to be worried if a problem is too difficult. Let your child know that any work toward an answer is helpful to see, even if a problem can’t be finished. Please send along with the test any scratch paper work used to solve the problems.

Please scan and send to: kristen.monahan@newhopetutorials.org or send it by mail/drop it off in the New Hope Office to the attention of Kristen Monahan, c/o New Hope Courses for Homeschoolers, PO Box 96, Boxford, MA 01921.

What do you remember from your pre-algebra days? Some basic calculations, drills, and exercises in workbooks? At New Hope, Paul Mason approaches pre-algebra as an immediately hands-on enterprise, putting the numbers "to work" from day one.