Algebra I - CCSD Learning Targets
First Quarter: Units 1 – 3 (8 weeks)
Unit 1: Descriptive Data (2 weeks)
One Variable Data Distribution
1.1
1.2
1.3
To display data. [ S.ID.A.1 ]
To describe and compare the shape of data distributions and the effect of outliers. [ S.ID.A.3 ]
To use measures of center and spread to describe and compare data sets. [ S.ID.A.2 ]
Bivariate Categorical Data
1.4
1.5
To read and interpret two way frequency tables. [ 8.SP.A.4, S.ID.B.5 ]
To interpret relative frequencies in the context of the data (joint, marginal, and
conditional) and recognize possible associations and trends in the data. [ S.ID.B.5, ]
Unit 2: Expressions and Equations (3 weeks)
Relationships Between Quantities
2.1
2.2
2.3
To determine the degree of precision of a measurement. [ N.Q.A.3 ]
To use significant digits to report results of calculations involving measurement. [ N.Q.A.3 ]
To convert from one unit to another within the context of solving problems.[ N.Q.A.1, N.Q.A.2 ]
Expressions
2.4
2.5
2.6
To evaluate algebraic expressions. [ A.SSE.A.1 ]
To simplify algebraic expressions. [ A.SSE.A.1, A.SSE.A.2-1 ]
To create algebraic expressions. [ A.SSE.A.1 ]
Equations in One Variable
2.7
2.8
2.9
To solve equations in one variable. [ A.CED.A.1-1, A.REI.A.1, A.REI.B.3 ]
To create linear equations in one variable to model real world situations. [ N.Q.A.1, N.Q.A.2,
A.CED.A.1-1, A.CED.A.3 ]
To solve a formula (literal equation) for a given variable. [ A.CED.A.4, A.REI.B.3 ]
Unit 3: Linear Inequalities in One Variable and Absolute Value Equations and
Inequalities (3 weeks)
Linear Inequalities
3.1
3.2
3.3
3.4
To solve and graph linear inequalities in one variable. [ A.REI.A.1, A.REI.B.3 ]
To create linear inequalities in one variable. [ A.CED.A.1-1, A.CED.A.3 ]
To solve and graph compound inequalities in one variable. [ A.CED.A.1-1, A.REI.B.3 ]
To create linear inequalities in one variable to model real world situations. [ N.Q.A.1, N.Q.A.2,
A.CED.A.1-1, A.CED.A.3 ]
Absolute Value Equations and Inequalities
3.5
3.6
3.7
To solve and graph absolute value equations in one variable. [ A.CED.A.1-1, A.REI.B.3]
To solve and graph absolute value inequalities in one variable. [ A.CED.A.1-1, A.REI.B.3 ]
To create absolute value equations and inequalities in one variable to model real world
situations. [ N.Q.A.1, N.Q.A.2, A.CED.A.1-1 ]
Second Quarter: Units 4 – 6 (8 weeks)
Unit 4: Functions and Function Notation (2 weeks)
Graphing Relationships
4.1
To describe a relationship given a graph and to sketch a graph given a description. [F.IF.B.4,
8.F.B.5 ]
Functions and Models
4.2
4.3
To determine if a relation is a function. [ F.IF.A.1 ]
To use functions to model real world situations. [ F.IF.A.2, F.IF.B.4, A-CED.A.2 ]
Arithmetic Sequences
4.4
4.5
4.6
4.7
To define and recognize an arithmetic sequence. [ F.IF.A.3 ]
To graph an arithmetic sequence. [ F.LE.A.2 ]
To write recursive and explicit formulas of an arithmetic sequence. [ F.BF.A.1a, F.BF.A.2 ]
To use an arithmetic sequence to model a real world situation. [ F.BF.A.2, F.LE.A.2 ]
Unit 5: Linear Functions and Linear Inequalities in Two Variables (3.5 weeks)
Graph Linear Functions
5.1
5.2
5.3
5.4
5.5
To identify a linear function from a table, graph, or equation. [ F.LE.A.1b, A.REI.D.10,
F.IF.C.7a, F.LE.A.2 ]
To use intercepts to graph linear functions in standard form. [ F.IF.B.4-1, F.IF.C.7a ]
To relate constant rate of change and slope in linear relationships. [N.Q.A.1, F.IF.B.6-1 ]
To graph linear equations using slope intercept form. [ F.IF.C.7a, A.CED.A.2, A.REI.D.10 ]
To graph linear inequalities in two variables. [ A.CED.A.3, A.REI.D.12-1 ]
Create Linear Functions
5.6
5.7
5.8
To create a linear equation in slope-intercept form. [ A.CED.A.2-1, F.LE.A.2 ]
To create a linear equation in point-slope form. [ A.CED.A.2-1, F.LE.A.2 ]
To create a linear equation in standard form. [ A.CED.A.2-1, F.LE.A.2 ]
Unit 6: Modeling with Linear Functions (2.5 weeks)
6.1
6.2
6.3
6.4
6.5
6.6
To compare and interpret the slope and y-intercept of linear functions. [ F.IF.C.9-1, F.LE.B.5 ]
To transform the graph of linear functions. [ F.LE.B.5, A.CED.A.2-1, F.BF.B.3-1 ]
To find a linear model for a set of bivariate data. [ 8.SP.A.1, 8.SP.A.3, S.ID.B.6a, S.ID.B.6c,
S.ID.C.7, 8.SP.A.2, F.LE.B.5 ]
To use technology to find lines of best fit. [ S.ID.B.6a, S.ID.B.6c, S.ID.C.8 ]
To use residuals to determine how well lines of best fit model the data. [ S.ID.B.6a, S.ID.B.6c,
S.ID.C.8 ]
To identify correlations between data sets. [ S.ID.C.8, S.ID.C.9 ]
Third Quarter: Units 7 – 9 (8.5 weeks)
Unit 7: Systems and Linear Programming (3 weeks)
Systems of Linear Equations
7.1
7.2
To solve a linear system of equations by graphing, substitution, and elimination.
[ 8.EE.C.8, A.REI.C.5, A.REI.C.6, A.REI.D.11-1 ]
To know that a system of two linear equations can have zero, one, or infinitely many
solutions. [ A.REI.C.6, 8.EE.C.8 ]
Systems of Linear Inequalities
7.3
To solve and graph systems of linear inequalities. [ A.REI.D.12-1 ]
Linear Programming
7.4
7.5
To graph constraints and identify vertices of the feasible region. [ A-CED.A.3-1, A.REI.D.12-1 ]
To use the vertices to maximize or minimize the objective function. [ A-CED.A.3-1 ]
Unit 8: Exponential Functions and Geometric Sequences (3 weeks)
Rational Exponents
8.1
8.2
8.3
To simplify expressions with zero and integer exponents. [ 8.EE.A.1, N.RN.A.1 ]
To rewrite expressions involving radicals and rational exponents using the properties of
exponents. [ N.RN.A.1, N.RN.A.2, N.RN.B.3 ]
To put radicals in simplest form. [ N.RN.A.1, N.RN.A.2, 8.NS.A.2 ]
Geometric Sequences
8.4
8.5
8.6
8.7
To define and recognize geometric sequences. [ F.LE.A.2, F.LE.A.3 ]
To graph geometric sequences. [ F.LE.A.2, F.LE.A.3 ]
To write recursive and explicit formulas of geometric sequences. [ F.BF.A.1a, F.BF.A.2,
F.LE.A.2 ]
To use geometric sequences to model real world situations. [ F.BF.A.2, F.LE.A.1a, F.LE.A.2 ]
Graph Exponential Functions
8.8
8.9
8.10
To identify exponential functions from a table, graph, and equation. [ F.LE.A.1a, F.LE.A.1c ]
To graph exponential functions using key features. [ F.IF.C.7e-1, F.IF.B.4-1, F.IF.C.8b,
F.LE.B.5 ]
To transform the graph of exponential functions. [ F.BF.B.3-1, F.IF.C.9, F.BF.A.1b ]
Create and Model Exponential Functions
8.11
To create and evaluate exponential equations from real world situations. [ F.LE.A.1c, F.IF.C.8b,
A.SSE.B.3c ]
Solve Exponential Equations
8.12
To solve simple exponential equations. [ A.CED.A.1-1 ]
Compare Linear and Exponential Functions
8.13
To compare properties of two functions represented algebraically, graphically, in tables or by
verbal descriptions. [ F.IF.C.9-1, F.LE.A.1c, F.LE.A.1a, F.LE.A.1b, F.LE.A.3 ]
Unit 9: Polynomials and Factoring (2.5 weeks)
9.1
9.2
9.3
9.4
To classify polynomials and write polynomials in standard form. [ A.SSE.A.1, A.SSE.A.2 ]
To add and subtract polynomial expressions. [ A.APR.A.1, A.SSE.A.1, A.CED.A.1 ]
To multiply polynomial expressions. [ A.APR.A.1, A.SSE.A.1, A.CED.A.1 ]
To factor polynomials. [ A.SSE.A.2-1 ]
Fourth Quarter: Units 10 – 12 (8 weeks)
Unit 10: Graphing Quadratic Functions (2 weeks)
10.1
10.2
10.3
10.4
10.5
To graph quadratic functions in standard form. [ F.IF.C.7a ]
To graph quadratic functions in factored form. [ F.IF.C.7a, F.IF.C.8a, F.BF.B.3-1 ]
To graph quadratic functions in vertex form. [ F.IF.C.7a, F.IF.C.8a ]
To transform the graphs of quadratic equations. [ F.BF.B.3-1, F.IF.B.4 ]
To compare properties of two or more functions represented in different ways.
[ F.IF.C.9-1, F.LE.B.5, F.LE.A.1 ]
Unit 11: Solving Quadratic Equations (4 weeks)
11.1
11.2
11.3
11.4
11.5
11.6
11.7
11.8
11.9
To review number sets and introduce the existence of imaginary numbers. [ A.REI.B.4b,
8.NS.A.1, N.RN.B.3 ]
To use the graph of a quadratic function to solve its related quadratic equation. [ N.RN.B.3,
F.IF.C.7c ]
To solve quadratic equations by taking the square root. [ A.REI.B.4b ]
To solve quadratic equations by factoring. [ A.REI.B.4b, A.SSE.B.3a, A.SSE.A.2 ]
To solve quadratic equations by completing the square. [ A.REI.B.4a, F.IF.C.8a, A.SSE.B.3b,
A.SSE.A.2, A.REI.B.4b ]
To solve quadratic equations using the quadratic formula. [ A.REI.B.4a, A.REI.B.4b ]
To choose the best algebraic method to solve a quadratic equation. [ A.REI.B.4b ]
To model real world situations with quadratic equations. [ N.Q.A.1, A.CED.A.2, F.IF.B.4,
F.IF.B.5 ]
To solve a simple system involving a linear and quadratic equation, both algebraically and
graphically. [ A.REI.C.7, F.IF.C.7a ]
Unit 12: Special Functions (2 weeks)
Inverse Functions
12.1
12.2
To find the inverse of a linear function. [ F.BF.B.4a-1, F.BF.B.4c, A.CED.A.4 ]
To graph the inverse of a linear function. [ F.IF.C.7a, F.BF.B.4a-1 ]
Piecewise Functions
12.3
12.4
To graph linear piecewise functions including absolute value and step functions. [ F.IF.C.7b-1,
F.BF.B.3 ]
To define a piecewise function represented by a graph or real world function.
[ F.IF.B.5-1, F.IF.C.7b ]