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Building Confidence in Algebra 1 - Whole Course
In this 20-week Online course students will learn and practice the Common Core State Standards for Algebra 1.
Class experience
US Grade 7 - 9
Beginner - Intermediate Level
In Algebra 1, we will start with a review of basic mathematical terminology and concepts for fractions/decimals, integers, and defining and recognizing Real numbers. My goal is to build confidence in the students with things they already know how to do. If they have struggled in the past we will learn adaptation strategies so that students see there is more than one way to look at math. They do not have to do the work my way. They only need to show me that they understand the concept through...
Determine unit rates. Write ratios as fractions in simplest form Solve proportions Use proportions to solve real-world problems Apply rates to solve a problem Use proportions to solve problems Use unit or dimensional analysis to solve a problem Indicate the precision of a measurement Use significant digits Evaluate algebraic expressions by using the order of operations Translate written phrases into algebraic expressions Recognize the properties of real numbers Simplify algebraic expressions by combining like terms Simplify expressions by removing grouping symbols Convert between scientific and standard notation Evaluate expressions with zero and negative exponents Simplify expressions with zero and negative exponents Simplify algebraic expressions using the multiplication property of exponents Simplify numeric expressions using the multiplication property of exponents Simplify algebraic expressions using the division property of exponents Simplify numeric expressions using the division property of exponents Determine if a relation is a function Determine the domain and range of a relation Represent relations as sets of ordered pairs, tables, mappings, and graphs Evaluate functions Identify the independent and dependent variables of a function Perform operations with functions Find ordered pairs that are solutions of linear equations Graph linear equations Draw graphs of functions Interpret graphs of functions Find the x- and y-intercepts of graphs. Graph linear equations using the x- and y-intercepts Graph absolute value functions. Graph quadratic functions. Find patterns to complete sequences using function tables Solve problems by writing equations Write function rules from given data or graphs Write function rules to model real-world situations Solve an equation numerically and graphically Solve an equation using algebra techniques Associate a parent function with a given graph or data Determine the domain and range of parent functions Determine how changes to the rule of a function correspond to the translation of its graph Determine solutions of a linear equation given in standard form Graph a linear equation given in standard form Identify a linear equation in standard form Use the properties of equality to write a linear equation in standard form Calculate the slope of a line given two points Determine if a line has a positive, negative, zero, or no slope Graph a line given its slope and a point on the line Relate slope to the rate of change Determine the average rate of change Understand the use of delta notation Convert between the standard and slope-intercept forms of linear equations Graph a line from a given equation Identify the slope and y-intercept of a line from a given equation or graph Write the equation of a line given its graph Write the equation of a line given its slope and y-intercept Write the equation of a line given two points on the line Write the equation of a line given its slope and a point on the line Determine if lines are parallel from their given equations Write the equation of a line given the equation of another line to which it is parallel and a point on that line Determine if lines are perpendicular from their given equations Write the equation of a line given the equation of another line to which it is perpendicular and a point on that line Write linear equations in various forms and from a variety of given information Develop a function model Identify a mathematical model Recognize patterns and trends between two variables using tables as models Solve problems using formulas as a model Develop the slope-intercept model of an equation of a line Identify situations modeled by an equation Use intercepts of a graph Use the slope-intercept formula to determine intercepts Determine measures of central tendency Organize data with frequency tables, dotplots, and histograms Recognize symmetric and skewed frequency distributions Calculate measures of central tendency Determine the effects of variability on measures of central tendency Measure the variability of frequency distributions Read and understand box-and-whisker plots Use standard deviation to understand mean Calculate conditional probabilities from data displayed in a two-way table Use a two-way table to determine if two events are independent Justify steps used to solve an equation Solve equations by using the addition property of equality Solve equations by using the multiplication property of equality Apply properties to solve two-step equations Verify a solution for an equation Apply properties to solve equations with like terms Verify a solution for an equation Apply properties to solve equations with the variable on both sides Verify a solution for an equation Judge the reasonableness of a solution Represent and solve real-world situations with equations Apply the distributive property to solve equations Determine if an equation has 0, 1, or an infinite number of solutions Determine if equations are equivalent Solve multi-step equations Verify a solution of an equation Solve equations translated from written statements Translate written statements into equations Evaluate the unknown variable in a literal equation Solve literal equations for a specific variable Judge the reasonableness of a solution Solve real-world problems using multi-step equations Graph the solution sets of inequalities Solve one-variable inequalities Translate written statements into inequalities Graph the solution sets of inequalities Solve two-step inequalities in one variable Graph the solution sets of inequalities Solve multi-step inequalities in one variable Graph the solution sets of compound inequalities Solve compound inequalities Graph linear inequalities in two variables Model and solve real-world problems involving linear inequalities Solve absolute value equations Solve and graph absolute value inequalities in one variable Apply a system of equations to solve a one-variable linear equation graphically Determine if a linear system of equations is dependent, independent, consistent, or inconsistent Identify the graphical solution of a system of linear equations Determine if a point is a solution of a linear system Solve a system of two linear equations in two variables using substitution Determine if a point is a solution of a linear system Solve a system of two linear equations in two variables using elimination Determine if a point is a solution of a system of linear inequalities Identify the graphical solution of a system of linear inequalities Apply the properties of whole-number exponents to generate equivalent expressions. Simplify expressions with rational exponents Express radicals in simplest form Simplify sums and differences involving radicals Simplify products involving radicals Simplify quotients involving radicals Explain why the product of a nonzero rational number and an irrational number is irrational Explain why the sum and product of two rational numbers are rational Explain why the sum of a rational number and an irrational number is irrational Extend and find the nth term of an arithmetic sequence Recognize arithmetic sequences Write formulas for arithmetic sequences Extend and find the nth term of a geometric sequence Recognize geometric sequences Write formulas for geometric sequences Find patterns in sequences Extend and find the nth term of a recursively defined sequence Determine if a function is linear Represent a linear relationship numerically, algebraically, and graphically Determine a parabola's line of symmetry, vertex, and whether it opens up or down Graph quadratic functions Recognize a quadratic function Graph quadratic functions Use the zero product property to find the zeros of a function and relate to the intercepts of the graph Use the zeros of a quadratic function to find the vertex of the graph of the function Explore the role of a, b and c as it relates to the graph of quadratic equation Identify functions of the form y = ax2+bx+c as quadratic functions Determine the axis of symmetry of a parabola Determine the intercepts of a parabola Determine the vertex of a parabola Identify the domain and range Interpret the meaning of the vertex and intercepts of a parabola Add and subtract polynomials Classify polynomials Multiply and divide polynomials by monomials Multiply polynomials Identify special products of binomials Divide polynomials Simplify polynomial expressions Determine the greatest common factor Use the greatest common factor to factor polynomials Factor polynomials by grouping Factor trinomials with a leading coefficient of one Factor trinomials with a leading coefficient other than one Factor perfect square trinomials Factor the difference of two squares Simplify expressions involving operations with polynomials Solve equations using the square root property of equality Solve equations using the squaring property of equality Solve quadratic equations by using the zero product property Solve quadratic equations by completing the square Use the discriminant to determine the nature of the roots of a quadratic equation Use the quadratic formula to solve equations with rational roots Use the quadratic formula to solve equations with irrational roots Solve a system of two equation where one is quadratic
I am a certified teacher in the State of Texas for Mathematics (Grades 4-12), Technology Applications (Grades PK-12), and Computer Science (Grades 8-12). I have taught and tutored Algebra 1, Pre-Algebra, and Technology Applications in Texas for 7 years. I also taught Algebra 1 and Technology Applications in Shanghai, China for 6 years as the Technology Director for an International School.
Homework Offered
Students will have some practice problems to complete outside of class. Each class should bring no more than 30-45 minutes of homework. I will also sometimes assign projects or essays to demonstrate an understanding of more complex concepts.1 - 2 hours per week outside of class
Assessments Offered
Learner progress will be assessed by letter grade and written report which will advise the level of understanding for each student expectation. The report is based on homework and tests. I will provide a written report at the end of each unit, which is approximately every two weeks.Grades Offered
In addition to the Outschool classroom, this class uses:
My name is Chris Collazo. I am a Math and Technology teacher from Texas. I earned my Bacehlor of Science in Computer Science with a Certification in Technical Writing from the University of North Texas in 2002. I am certified to teach Mathematics...
Group Class
$50
weekly or $1,500 for 60 classes2x per week, 30 weeks
50 min
Live video meetings
Ages: 11-15
3-10 learners per class