North Greene High School
Algebra 1
Tameria Ailstock
Algebra 1 – Part A
Unit 1 Quantities & Modeling
Solving equations (easy) A.REI.A.1
Ratios and proportions
Conversions N.Q.A.2, N.Q.A.3
Significant Figures N.Q.A.2, N.Q.A.3
Modeling > terms and coefficients
· Writing algebraic expressions
Solving equations (hard) A.REI.A.1
Literal equations A.CED.A.4
Inequalities (one variable)
Unit 2 Understanding Basic Functions
Interpreting Graphs F.IF.B.3, N.Q.A.1, N.Q.A.2
Relations vs Functions
Creating Models/Equations F.IF.B.3, A.CED.A.1
Graphing Functions F.IF.A.1
· Plotting points
· X & y values domain vs range F.IF.B.4, F.IF.A.1
· Evaluating graphs at a certain value
Writing Formulas for a sequence
· Explicit & Recursive rules for arithmetic and geometric F.LE.A.2, F.BF.A.1, S.ID.C.6
· (rate of change from tables) F.IF.B.5
Evaluation Functions f(x) F.IF.A.2
Unit 3 Linear Functions, Equations & Inequalities
WRITING FUNCTIONS in: A.REI.B.2, F.LE.A.1
· Standard form
· Slope intercept form
· Point Slope Form
Discrete vs continuous graphs F.IF.B.4
Understanding x and y intercept meanings/purpose
Finding Slopes F.IF.B.5, S.ID.C.5
· From a Graph
· Points
· Applications
GRAPHING FUCNTIONS: A.CED.A.2, F.IF.B.5, A.REI.D.5
· Slope Intercept Form
· Point Slope
· Standard Form
· Using Intercepts
Transformations (comparisons of linear) F.BF.B.2
· Reflections
· Vertical shifts
Domain and Range of Linear Applications F.IF.B.4, F.IF.B.3, F.LE.B.4
Solving systems of 1 variable equations A.CED.A.2, A.CED.A.3
· Using Table and Graphs
Linear Inequalities
· Graphing
· Solutions of points ***Unit 4 is taught at the end but is included in other units.
Unit 5 Systems and Piecewise Functions
Solve systems (at most two equations) by: A.REI.C.4
· Graphing A.REI.D.6
· Addition & Subtraction
· Elimination (what should be multiplied to get rid of ___ variable)
· Substitution
· Matrix (not a standard)
Applications
Systems of Inequalities
· Constraints A.REI.D.7
Interpreting a piecewise function graph A.REI.A.1 (explain steps)
· Simple graphs
· Domain and Range F.IF.A.2
· Real world context
Absolute Value Transformations F.IF.C.6, F.BF.B2
· Reflections, stretches, vertical and horizontal shifts
· Introduce “vertex”
Unit 6 Exponential Relationships
Construct and Graph exponential functions
· Domain and Range F.IF.B.4, F.IF.B.3, F.IF.A.2
Transformations F.IF.C.8, F.BF.B.2
Exponential Growth and Decay with Real World App
Compare Linear vs Exponential F.LE.B.4, F.LE.A.1, F.LE.A.2, F.LE.A.3
Properties of Exponents
· Solve exponential equations by rewriting base into like powers A.SSE.B.3c, A.REI.A.1
Geometric Sequences Refresher F.IF.B5
Unit 7 Polynomial Operations
Identify Types A.SSE.A.1a, A.SSE.A2
· Degree Names
· Term Names
Add & Subtract A.APR.A.1
· Use perimeter of figures: rectangles, circles, triangles
Multiply Polynomials A.APR.A.1,
· Area of 2d figures
· Volume of prisms and Spheres
· Surface Area of Cylinders
Factoring A.SSE.A.2, A.SSE.B.3a, F.IF.C.7
Polynomial Operations A.APR.A.1
· When are the operations closed (add, sub, mult, div)
Algebra 1 – Part B
Unit 8 Quadratic Functions
Quadratic Equation Basics
· Equation Set Up (standard form)
· Max/Min
· Domain/Range F.IF.B.4, F.IF.B.3
· Axis of Symmetry
· Graphing with Ordered Pairs
Standard Form vs Vertex Form F.IF.C.7, F.IF.C.6.
· Writing Equations between forms
· Discriminant
· Use to find Application Limits
Transformations (in vertex for AND standard form) F.IF.C.8, F.BF.B.2
Solving Quadratics
· By Graphing Two Lines A.REI.B.3b
· By Intercepts (know what intercepts mean)
· By Taking Square Roots
· By Quadratic Formula A.REI.B.3b
· By Completing the Square (know what needs to happen, steps) A.REI.AB.3a, A.REI.B.3b, A.SSE.B.3b, F.IF.C.7
· Factors vs Solutions A.REI.B.3b,
Writing Quadratic Equations
· Given Factors or Solutions A.APR.B.2
Unit 9 Application and Modeling
Real World Quadratics F.IF.B.4
Quadratic Regression
Linear Regression comparing F.LE.A.3, S.ID.C.6, S.ID.C.7
Exponential Regression
Unit 10 Other Functions
Polynomials F.LE.A.3
· Odd/Even Leading Coefficients
Inverse Functions
· Linear, Quadratic, Cubic, Exponential (intro logs)
· Stress Domain & Range F.IF.B.4
Transformations Review F.IF.C.8, F.BF.B.2
Review Piecewise Functions
***Unit 4 Statistical Models
Histograms S.ID.A.1
Scatter Plots S.ID.B.4.
Comparing Data Sets S.ID.A.2, S.ID.A.3
More Linear Regression, S.ID.C.5, S.ID.C.6, S.ID.C.7
