What's included
3 live meetings
2 hrs 15 mins in-class hours per weekHomework
2-4 hours per week. Homework with an answer key will be provided with each lesson; it is optional be strongly recommended. I will be available prior to class to answer any questions on homework.Assessment
Students will be formatively assessed during each lesson with observation and targeted questioning. Summative assessments and grades will be available upon request.Grading
includedClass Experience
US Grade 6 - 9
Beginner - Advanced Level
This ongoing course will cover all of Common Core Algebra. Students completing the entire course will be ready to move onto Geometry and Algebra 2. This is a teacher lead, interactive class; I will present the lesson and we will practice together. My goal is to build a classroom community where students are comfortable asking questions and commenting as I believe this drives the learning for the whole cohort. The topics covered and intended pace, Please understand that different cohorts of students may move at a quicker/slower pace: Week 1 and 2: Expressions, Equations and Functions - In this unit we will evaluate and write expressions, define and represent functions, review order of operations, problem solving plans and precision and measurement. Weeks of June 18th and 25th. Week 3 and 4: Solving Linear Equations - During these two weeks we will focus on solving complex equations and associate the logic behind the properties; write and solve proportions and rewrite equations and formulas. Weeks of July 2nd and 16th. Weeks 5 and 6: Graphing Linear Equations and Functions - These two weeks will be devoted to using the coordinate plane to represent linear functions, methods of graphing linear functions, best fit lines and linear modeling. Weeks of July 23rd and 30th. Weeks 7 to 10: Writing Linear Equations - In this unit we will writing linear equations from graphs, tables and word problems; we will explore point slope form, slope intercept form and standard form; and we will learn about parallel and perpendicular lines. Weeks of August 6th and 13th. Weeks 11, 12: Solving and Graphing Linear Inequalities - We will learn about the properties of inequality, solve multi-step and compound inequalities, we will solve absolute value equations and write and graph linear inequalities. Weeks of August 20th and 27th. Week 13: Functions - This week will set the stage for a study of a variety of functions; we will focus on vocabulary and applications of linear functions, discrete and continuous, piecewise and step, and arithmetic sequencing. Week 14 and 15: Systems of Equations and Inequalities - In this unit we will explore a variety of ways to solve a system of equations or inequalities and special types of systems. Week 16 and 17: Exponents and Exponential Functions - We will cover properties of exponents, define zero as an exponent and negative exponents and study exponential growth and decay functions and geometric sequencing. Week 18, 19 and 20: Polynomials and Factoring - In this unit we will add, subtract and multiply polynomials. We will factor polynomials and look at special patterns with polynomials. Week 21, 22 and 23: Quadratic Equations and Functions - We will begin with graphing quadratic equations, identifying how the coefficients effect the graph, We will learn about standard form and vertex form of a quadratic equation. Then we will transition into solving quadratic equations learning a number of methods and when to use each one. We will end by solving systems of quadratic equations. Week 24: Square root Functions - We will be graphing square root functions, rationalizing the denominator, solving square root equations and look at applications of the Pythagorean Theorem. Week 25 and 26: Rational Equations and Functions - We will cover direct and inverse variation, simplifying rational expressions and solving rational equations. We will perform operations on rational expressions and divide polynomials. Week 27: Data Analysis - In this unit we will be analyzing data by measures of central tendency and measures of dispersion.
Learning Goals
The students will:
- evaluate expressions using order of operations
- use equations as part of a 4-step problem solving plan
- learn precision and measurement tools
- define and identify functions
- find square roots and compare real numbers
- learn and use the properties of equality
- solve proportions using two methods
- rewrite formulas and equations
- learn a variety of graphing techniques
- generate tables from equations
- define and calculate slope
- define direct variation and recognize real-world applications
- student will learn all three forms of linear equations
- chose the appropriate form to model a real world application
- write equations from tables and graphs
- identify parallel and perpendicular lines from equations
- write an equation of a best fit line
- make predictions from linear models
- use properties on linear inequality to solve linear inequalities
- solve absolute value equations and inequalities
- graph linear inequalities in one and two variables
- Find the domain and range of functions from graphs or tables.
- Determine whether relations are functions.
- Graph discrete and continuous data.
- Determine whether functions have a discrete or continuous domain.
- Write linear functions from graphs or tables.
- Solve linear functions.
- Write and solve systems of linear equations by graphing, substitution and elimination.
- Solve systems of linear equations having no solution or infinitely many solutions.
- Solve linear equations by graphing a system of linear equations.
- Write and graph systems of linear inequalities in two variables.
- Simplify and evaluate square roots.
- Simplify radical expressions.
- Simplify expressions using the properties of exponents.
- Simplify expressions with rational exponents.
- Identify, evaluate, and graph exponential functions.
- Solve exponential equations algebraically and graphically.
- Write, interpret, and graph exponential functions.
- Identify, write and graph exponential growth and decay functions.
- Write equations for geometric and arithmetic sequences.
- Write the terms of recursively defined sequences.
- Write recursive equations for sequences.
- Find the degrees of monomials.
- Classify, add, subtract and multiply polynomials.
- Use patterns to multiply polynomials.
- Solve polynomial equations in factored form.
- Factor polynomials using the greatest common factor.
- Solve polynomial equations by factoring.
- Factor trinomials in all forms
- Factor special products
- Factor polynomials by grouping.
- Identify characteristics of quadratic functions.
- Graph quadratic functions.
- Find the foci of parabolas.
- Write equations of parabolas with vertices at the origin given the foci.
- Graph quadratic functions
- Find the axes of symmetry and the vertices of
graphs.
- Graph quadratic functions in vertex form.
- Find maximum and minimum values.
- Identify linear, quadratic, and exponential functions using graphs or tables.
- Compare graphs of linear, quadratic, and exponential functions.
- Solve quadratic equations by graphing, taking the square roots, completing the square, and using the quadratic formula.
- Use discriminants to determine the number of real solutions of quadratic equations.
- Solve systems of linear and quadratic equations.
- Graph and compare square root functions.
- Simplify radical expressions.
- Solve square root equations, including those with square roots on both sides.
- Identify extraneous solutions.
- Use the Pythagorean Theorem to find missing side lengths of right triangles.
- Identify right triangles.
- Find distances between two points.
- Identify, write and graph direct and inverse variation equations and rational functions.
- Identify asymptotes.
- Simplify rational expressions.
- Add, subtract, multiply and divide rational expressions.
- Divide polynomials by monomials and binomials.
- Solve rational equations.
- Calculate measures of central tendency and dispersion.
- Display and analyze data.
Other Details
Supply List
The students should be ready for each class with: Formatted notes printed (provided) Pencil and eraser calculator Whiteboard with a coordinate plane for extra practice when time allows
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 and have fourteen years of classroom experience teaching Pre-Algebra, Algebra and Geometry. My students have consistently experienced exceptional growth in comparison to local, state and national metrics.
Reviews
Live Group Class
$60
weekly ($20 per class)3x per week
45 min
Completed by 9 learners
Live video meetings
Ages: 10-15
3-15 learners per class