What's included
48 live meetings
36 in-class hoursHomework
1-2 hours per week. A practice sheet and key will be provided with each lesson. I will differentiate to each student's ability. The homework should take from 1 to 4 hours each week.Letter Grade
The students will be formatively assessed during each lesson. Grades and assessments will be provided upon request. Students must complete all assessments to earn a grade in the course.Grading
includedClass Experience
US Grade 6 - 8
Intermediate Level
This will be a teacher lead math class; concepts will be presented by the teacher and practiced together as a class. Some lessons will include investigative activities when applicable. All classes will include discussion structured to enhance learning and build community. The topics covered are: Rational Numbers and Equations: This will include defining rational numbers, operations with fractions (review), introduction to properties of equality and inequality. Solving Equations: In this unit we will work on solving equations which is the beginning of teaching Logic. This unit includes Properties and operations, the distributive property, Simplifying variable expressions, variables and equations, solving equations using the properties of equality and decimal operations with equations. Multi-Step Equations and Inequalities: This unit builds off of the last unit with more complex applications. We will be solving two step/multi-step equations, equations with the variable on both sides of the equal sign, and solving simple and complex inequalities. Factors, Fractions and Exponents: This unit builds off of what we've learned about factors and uses this to understand exponents. We will learn about factors and prime factorization, greatest common factor, equivalent fractions with variables, least common multiple of monomials, rules of exponents, negative exponents exponent of zero and scientific notation. Rational Numbers and Equations: This is a comprehensive review of fractions integrated with variables. We will cover rational numbers, operations with fractions, the multiplicative inverse, and solving equations and inequalities with fractions. Ratio, Proportion and Probability: This unit is devoted to everything proportional including ratios and rates, writing and solving proportions, cross products, similarity and congruence, measurement and scale, scaled drawings, probability and odds and the multiplication principle. Linear functions, real numbers and right triangles, intro to trigonometry, measurement and volume, and angle relations and transformations. Please note that I will tailor topics to fit each class. If I have students transitioning from another class I will do my best to make sure I pick up where they left off in their last class.
Learning Goals
The students will:
- write and evaluate variable expressions
- perform operations with integers
- plot points on the coordinate plane
- use mathematical properties to simplify variable expressions
- perform operations with positive and negative decimals
- write and solve multi-step equations
- write and solve inequalities
- find greatest common factors and least common multiples
- identify equivalent fractions and write fractions in simplest form
- use rules of exponents and scientific notation
- write fractions as decimals and decimals as fractions
- perform operations with fractions and mixed numbers
- solve equations and inequalities with rational numbers
- write and compare ratios and rates
- write and solve proportions
- find probability
Syllabus
Standards
Aligned with Common Core State Standards (CCSS)48 Lessons
over 12 WeeksLesson 1:
Expressions and Variables Powers and Exponents Order of Operations
45 mins online live lesson
Lesson 2:
Adding, Subtracting Integers
45 mins online live lesson
Lesson 3:
Multiplying and Dividing Integers
45 mins online live lesson
Lesson 4:
Computation with Fractions
45 mins online live lesson
Other Details
Parental Guidance
Frequent parent feedback is encouraged. Pre-Algebra is a challenging course for some students and proper differentiation is essential. This depends on feedback from home as some young learners will be reluctant to share their struggles.
Pre-Requisites
Students taking this course should be introduced to computation with integers, proficient with order of operations and computation with fractions.
Supply List
Students will come to class prepared with: Printed formatted notes (provided) pencil and eraser calculator
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Teacher expertise and credentials
Bachelor's Degree in Education from Carroll University
I am a licensed mathematics teacher with 15 years experience teaching Pre-Algebra, Algebra and Geometry. I have a proven track record with district, state, and national data to support my students' exceptional growth and learning.
Reviews
Live Group Course
$80
weekly4x per week, 12 weeks
45 min
Completed by 3 learners
Live video meetings
Ages: 9-14
3-12 learners per class