建立對代數的信心並掌握代數 1 - 整個課程
在這 30 週的線上課程中，學生將學習和練習代數 1 的共同核心國家標準。
包含什麼
60 現場會議
50 上課時間作業
每週 1-2 小時. 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.評估
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.等級
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課堂經歷
英語程度 - 未知
美國 6 - 9 年級
Beginner - Intermediate 等級
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 demonstrating how to solve problems and being able to explain why they chose to do it their way. Explanations can be quite simple when I adapt to their way of thinking. The Units covered in Algebra 1 are: Foundations Equations Inequalities Functions Linear Functions Systems of Equations and Inequalities Exponents and Polynomials Factoring Polynomials Quadratic Functions and Polynomials Data Analysis and Probability Exponential and Radical Functions Rational Functions and Equations The Learning Goals section will list a more detailed description of the above topics. This class will meet 3 times per week for 1 hour each class. During class, I will present terminology and demonstrate and explain the skills the students are expected to learn. I will demonstrate problems while the students work with me using software and an iPad to write on the screen. Students will then complete a few problems with me as I ask them for step-by-step instructions while I work the problem. I then ask students to work through a few problems on their own without my guidance and we will discuss how to get to the solution. For more difficult concepts I will "reverse engineer" a problem and give them the answer and have the students show me how I got it. At the end of class I will give the students some work to complete outside of class that will mix their knowledge of past concepts with new concepts practiced in class. Homework should not take more than two hours each week. Students should have an understanding of Pre-Algebra before taking this class. Students currently enrolled in Algebra I in school may still benefit from this class, but the timing of concepts may not line up with the timing of their specific school. Learners who struggled to master previous Algebra I concepts, need to review previous Algebra I concepts, or want to learn in a more supportive environment will find this class beneficial. Class Scope and Sequence Breakdown: Class 1 Variables and Expressions, Powers and Exponents Class 2 Roots and Real Numbers, Order of Operations Class 3 Simplifying Expressions, Introduction to Functions Class 4 One Step Equations, Two Step Equations Class 5 Variables on Both Sides, Absolute Value Equations Class 6 Rates, Ratios, & Proportions, Applications of Proportions Class 7 Percents, Percent Increase/Decrease, Applications of Percents Class 8 Graphing and Writing Inequalities, Solving Inequalities Class 9 Two Step Inequalities, Inequalities with variables on both sides Class 10 Compound Inequalities, Absolute Value Inequalities Class 11 Graphing Relationships Class 12 Relations and Functions, Vertical Line Test Class 13 Writing Functions Class 14 Graphing Functions Class 15 Scatter Plots and Trend Lines Class 16 Arithmetic Sequences Class 17 Identifying Linear Functions Class 18 Using Intercepts Class 19 Rate of Change and Slope Class 20 Slope Formula Class 21 Distance and Midpoint Formulas Class 22 Direct Variation Class 23 Slope-Intercept Form Class 24 Point Slope Form Class 25 Slopes of Parallel & Perpendicular Lines Class 26 Transforming Linear Functions Class 27 Solving Systems of Equations by Graphing Class 28 Solving Systems of Equations by Substitution Class 29 Solving Systems By Elimination Solving Special Systems Class 30 Solving Linear Inequalities Class 31 Solving Systems of Linear inequalities Class 32 Integer Exponents, Powers of 10 and Scientific Notation Class 33 Multiplication Properties of Exponents, Division Properties of Exponents Rational Exponents Class 34 Polynomials, Adding and Subtracting polynomials Class 35 Multiplying Polynomials Class 36 Special Products of Binomials Class 37 Factors and Greatest Common Factors Class 38 Factoring by GCF Class 39 Factoring x^2 + bx +c Class 40 Factoring ax^2 + bx + c Class 41 Factoring Special Products, Choosing a factoring method Class 42 Identifying Quadratic Functions, Characteristics of Quadratic Functions Class 43 Graphing Quadratic Functions Class 44 Transforming Quadratic Functions Class 45 Solving Quadratic Equations by Graphing, Solving Quadratic Equations by factoring Class 46 Solving Quadratic Functions by using Square Roots Class 47 Completing the Square, Quadratic Formula and Discriminant Class 48 Organizing and Displaying Data, Frequency and Histograms Class 49 Data Distributions, Misleading Graphs and Statistics Class 50 Experimental Probability, Theoretical Probability Class 51 Independent and Dependent Events, Combinations and Permutations Class 52 Geometric Sequences, Exponential Functions Class 53 Exponential Growth and Decay, Linear Quadratic and Exponential Models Class 54 Square Root Functions, Radical Expressions Class 55 Add/sub/mult/div radical expressions Class 56 Solving Radical equations Class 57 Inverse Variation, Rational Functions Class 58 Simplifying Rational Expressions Class 59 Add/sub/mult/div rational expressions, Dividing Polynomials Class 60 Solving Rational Equations
學習目標
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
其他詳情
外部資源
除了 Outschool 教室外，本課程也使用：
已加入 October, 2023
教師專業知識和證書
德州 教學證書 在 數學
學士學位 由 University of North Texas
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.評論
現場團體課程
US$50
每週或US$1,500 用於 60 課程每週2次，共 30 週
50 分鐘
即時視訊會議
年齡: 11-15
3-10 每班學員人數
