Algebra 1
Course Description
Algebra foundations
overview and history of algebra
Introduction to variable
Substitution and evaluating expressions
Combining like terms
Introduction to equivalent
Division by zero
Solving equations & inequalities
Linear equation with variable on both side
Linear equation with parentheses
Analyzing the number of solution to linear equation
Linear equnation with unkown coefficients
Multi-step Inequalities
Compound inequalities
Working with units
Rate conversion
Appropriate rate
word problem with multiple units
Linear equations & graphs
Two variable linear equation intro
slope
Horizontal and vertical
x-intercepts and y-intercepts
Applying intercepts and slope
Forms of linear equations
Intro to slope -intercepts form
Graphing slope – intercepts equation
Writing slope -intercepts equation
Point slope form
Standard form
Summary : Forms of two variable
linear equation
Systems of equations
Introduction to system of equation
Solving system of equation with substiution
solving systems of equation with elimination
Equivalent system of equation
Number of system of equation
system of equation word problem
Inequalities (systems & graphs)
Checking solution of two- variable inequalities
Graphing two -variable inequalities
Modeling with linear in equalities
Functions
Evaluating function
Inputs and Outputs of a function
function and Equation
Interpreting function and equation
Introduction to the domain and range of a function
Determining the domain of a function
Recognizing function
Maximum and minimum points
Internal where a function is positive ,negative ,increasing or
Interpreting feature of graphs
Average rate of change
Average rate of change word problem
Average rate of change word problem intro to increase function
Sequences
Intro to arithmetic sequences constructing arithmetic sequence
Introduction to geometric sequences
constructing geometric sequences
Modeling with sequence
General sequence
Absolute value & piecewise functions
Graphs and absolute value function
Piecewise function
Exponents & radicals
Exponent and properties review
Radicals
simplifying square root
Exponential growth & decay
Exponential vs linear growth
Exponential expression
Graphs of exponential growth
Exponential vs linear growth over time
Exponential growth & decay
Exponential function form table & graphs
Exponential vs linear model
Quadratics: Multiplying & factoring
Multiplying monomials by polynomials
Multiplying binomials
Special product of binomials
Introduction to factoring
Factoring quadratics intro
Factoring quadratics by grouping
Factoring quadratics with different of square
factoring quadratics with perfect square
strategy in factoring quadratics
Quadratic functions & equations
Intro to parabolas
solving and graphing with factored form
solving by taking the square root
Vertex form
solving quadratic by factoring
The quadratic formula
completing the square root
more on completing the square
Strategizing to solve quadratic function
Quadratic standard form
Feature &form of quadratic function
Comparing quadratic function
Transforming quadratic function
Irrational numbers
irrational numbers
sum of product of rational and irrational number
proof concerning irrational number
COURCE CHALLENGE
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