Algebra 1 Scope and Sequence

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Algebra 1 Scope and Sequence
Throughout this course and all others in the SD93 Math Curriculum, correct and accurate
vocabulary should be emphasized.
Unit 1 Review (Goal—Get the students ready to solve equations.)
Topic
Pretest
Order of Operations
Substitution
Integer Operations (Real Numbers)
 Number Sense (Ordering Numbers)
 Addition and Subtraction

Multiplication and Division

Operations with Absolute Value
Exponents
System of Real Numbers (Venn Diagram p 18)
Distributive Property (Forwards and Backwards)
 Combining Like Terms
Properties of Real Numbers
5 days
Resources Available/Notes
To assess readiness and the
specific subjects to emphasize
during review time.
BJ will have a Pretest developed
that we can work from.
1-2; G1 1-3 p 22 13-24; ML 1.2
pp 11-12 1-26; G2 1-2 pp12-13
1-25; AR 1-2 p 11 1-37; ML2
1.3 p 19 23-37
Pre-Algebra 1-3 (Not very
rigorous); G1 1-3 pp 22-23 2534; ML 1.2 p 12 27-35; G2 1-2
p12 26-31, 37-39; AR 1-3 p 16
6-30; ML2 1.2 p 12 35-46
1-3
2-1, 2-2; G1 2-3 pp 90-92 7-67,
2-5 pp 103-104 14-37, 44-46;
ML 1.4 pp 21-22; AR 1-5 pp 2728 13-46, 1-6 pp 32-33 9-60;
ML2 pp 75-76 12-42, 51-55
2-3; G1 2-6 pp 109-110 18-47,
56-58, 2-7 pp 115-116 14-43,
45-47; ML2 2.5 pp 96-97 16-47,
61-67
AR 1-4 pp 20-21 7-43
1-2; ML 9.1 p 373 1-20, 24-36;
ML2 1.2 p 12 17-34
CC1; Introduce but don’t test.
Continue to refer to it
throughout the course; G2 1-8 p
50-51 1-55
2-4; G2 1-5 pp 29-30 12-33; G1
1-7 pp 48 1-47, 50-51; AR 2-2
76-77 22-49; ML2 2.6 pp 103105 19-89
p 86; G2 1-8 p 50-51 1-55
Unit 2 Solving Equations and Inequalities
Topic
Solving and Graphing Equations (Number Line Graphs)
 1 Step
10 days
Resources Available/Notes
Pre-Algebra 2-5 & 2-6; G2 2-2
pp 81-82 1-30; 2-3 pp 88-89 146; G1 3-1 pp 148-149 14-37,
39-40, 3-2 pp 153 14-36, 43-45;
ML 2.1 pp 58-59 1-22, 25-30;
AR 2-5 p 91 8-28, 2-6 p 96 941; ML2 3.1 p 135 1-41, 3.2 pp
141-142 1-47

2 Step
3-1; G2 2-4 p 95 11-28; G1 3-3
pp 159 8-13, 17-28; ML 2.2 pp
64-65 1-34; AR 7-1 p 346 6-22,
7-3 p 356 12-36

Multi-Step
3-2; G1 3-3 p 160 29-34; ML
4.3 pp 162-163 1-24; AR 7-2 p
351 6-23; ML2 3.3 p 148 10-44,
3.4 pp 157-158 12-44

Variables on Both Sides
Solving and Graphing Inequalities (Number Line Graphs)
 1 Step

Multi-Step
3-3; G2 p 101 1-34
3-4
3-5
4-2, 4-3; G2 6-1 pp 297-298 145, pp 305-306 1-48; G1 7-1 pp
388-390 7-44, 48-49, 7-2 pp
396-397 9-49, 51-53; ML 4.6 p
179 1-6; AR 2-9 p 108 5-37, 210 p 113 7-37, 3-4 p 144 6-24,
3-5 p 148 6-31, 5-7 p 260 6-26,
5-8 264 6-36
4-4; G2 6-3pp 311-312 1-50; G1
7-3 pp 402-403 7-14, 20-37; ML
4.6 p 179 7-14; AR 7-5 p 365 726

Variables on Both Sides
4-4; G2 6-3 pp 311-312 1-50;
G1 7-3 p 403-404 24-37, 48-51;
ML 4.6 p 180 22-36

Compound
4-5; G2 6-4 pp 317-318 1-44;
G1 7-4 pp 410 7-52, 56-58

Absolute Value Equations and Inequalities

Writing Inequalities
Writing Equations and Inequalities (Including Proportions)
Unit 3 Linear Equations (Functions) and Inequalities
Topic
Function Notation
 Definition of Relation and Function
--Determine whether a Relation is a Function
Isolate y
Standard Form
Slope/Rate of Change (Include Applications)
Slope-Intercept Form
Point-Slope Form
Graphing Linear Functions
Domain and Range (included concept from here to the end of the
course)
4-6
ML 4.5 pp 173-175 1-13
3-6 & in previous sections; ML2
1.5 pp 35-38 1-61, 3.1 pp 135136 42-54, 3.2 pp 142-143 4857, ML2 3.3 pp 149-150 50-64.
3.4 p 158 45-49
10 days
Resources Available/Notes
5-2, 5-3; G2 3-2 pp 152-153 138; G1 5-5 pp 291-293 6-56; AR
8-1 pp 391-392 1-28
5-2, 5-3, 5-4; ML2 3.7 p 177 1529, 4.2 p 215 30-35
5-4; G1 6-2 pp 336-337 11-17,
27-32, 39-44, 46-47
6-1; G2 4-1 p 192-193 14-38;
G1 6-1 pp 329-330 15-43; AR
8-3 pp 402-403 4-30; ML2 3.8
pp 183-184 11-27; ML2 4.4 pp
230-231 12-55
6-2; G2 4-2 pp 200-201 12-41;
G2 4-3 pp 207-208 12-32, 4-4 p
217 10-32; G1 6-4 pp 350-352
8-52, 55-57; AR 8-4 pp 407-408
1-16
6-4, 6-5; G2 4-5 pp 223-224 1235; G1 6-2 pp 336-337 8-10, 1416, 18-26, 33-38, 46-47
6-3; G1 6-5 pp 359-361 14-35,
37-38; AR 8-3 p 403 31-39;
ML2 4.2 p 215 36-51, 4.3 p 221
14-59, 4.6 pp 244-245 13-55,
4.7 pp 253-254 11-43
6-3
Inverses of Linear Functions
Scatter Plots
Graphing Linear Inequalities
Unit 4 Systems of Linear Equations and Inequalities
Topic
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Elimination
Applications of Systems
Linear Programming
Unit 5 Properties of Exponents
Topic
Zero Exponents
Negative Exponents
Multiplications and Division Properties of Exponents
CC3
1-5, 6-7, CC5 (residuals),
correlation; G2 4-6 pp 230-232
1-27; G1 6-3 pp 343-344 1-30
7-5; G2 6-7 pp337-338 8-36; G1
7-8 pp 439-441 4-42, 47-48; AR
8-7 p 423 3-16
10 days
Resources Available/Notes
7-1; G2 5-1 pp 256-257 10-39;
G1 8-1 pp 467-468 8-43, 50-51;
AR 8-6 p 417 9-15, 18-20
7-2; G2 5-2 pp 263-264 8-31;
G1 8-2 pp 466-468 8-37, 39-43
7-3; G2 5-3 p 269 7-22, 5-4 pp
275-276 1-23; G1 8-3 pp 472474 5-36, 41-42; 8-4 pp 478-480
5-41, 44-46
CC7, 7-4; G2 5-5 p 283 1-18
Help RMMS with
Supplementation when we find
it.
5 days
Resources Available/Notes
8-1
8-1
8-3, 8-4, 8-5
End of Semester 1 40 days
Unit 6 Operations With Polynomials
Topic
Adding and Subtracting Polynomials
Multiplying Polynomials
Multiplying Binomials
Multiplying Special Cases
Unit 7 Graphing Quadratics ( y  ax 2  bx  c )
Topic
T-Chart
b
Vertex using x  
2a
Emphasize Domain and Range
Maxima and Minima
5 days
Resources Available/Notes
9-1; G2 7-4 pp 386-387 1-30
9-2; G2 7-5 pp 392-393 1-53, 76 pp 401-402 1-43
9-3
9-4; G2 7-7 pp 407-408 1-47
4 days
Resources Available/Notes
10-1; G2 p 475 1-4, 10-15
10-1; G2 p 475 5-8, 16-23
10-2
10-2
Unit 8 Factoring Polynomials
Topic
Factoring Out a GCF
Factoring ax 2  bx  c (THE BOX)
Factoring by Grouping
5-6 days
Resources Available/Notes
9-2, 9-5; G2 8-1 pp 422-423 132
9-6, 9-7; G2 8-2 pp 429-430 130, 8-3 pp 437-438 1-37, 8-4 pp
444-445 1-32; 8-5 pp 450-451 132, 8-6 pp 458-459 12-34
9-8
Unit 9 Solving Quadratic Equations ( ax 2  bx  c  0 )
Topic
Solving Quadratic Equations from the Graph
 Teacher Generated Graphs
 Student Generated Graphs
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Completing the Square
 Show that  h, k  is the vertex of the parabola
10 days
Resources Available/Notes
Review 10-2
10-3; G2 9-2 pp 483-484 1-33;
Solving Quadratic Equations by the Quadratic Formula
 Derive the quadratic formula by completing the square as
part of the lesson
 Discriminant
10-6, 10-7; G2 9-4 pp 497-498
1-36;
10-4;
10-5; G2 9-3 pp 489-490 1-33
ISAT Review
3 days
Unit 10 Radicals
Topic
Simplify Radicals
 Add and Subtract Radical Expressions
 Multiply Radical Expressions
 Divide (simple)
Solve Radical Equations
Convert Rational Exponents to Radical Form and Vice Versa
Estimate Radicals
Rationalize the Denominator (simple)
Middle School: Pythagorean Theorem
Middle School: Distance and Midpoint Formulas
Unit 11 Graphing
Topic
Review Graphing Lines
Review Graphing Quadratics
Introduce Graphing Absolute Value Functions
5 days
Resources Available/Notes
11-1, 11-2; G2 10-1 pp 531-533
1-48, 10-2 pp 538-539 1-43
11-3; G2 10-3 pp 543-544 1-46
3-8
3-9
11-3
7-8 days
Resources Available/Notes
12-1, 6-2
12-1, 10-2
CC6, 12-1, 6-8; G2 6-5 p 325 7-
Introduce Graphing Exponential Functions, Growth and Decay
Introduce Graphing Radical Functions
The rest of the time final review and ECA
Key:
Glencoe Algebra 1 c. 1998 = G1
Glencoe McGraw Hill Algebra 1 c. 2008 = G2
McDougal Littel Algebra 1 c. 1998 = ML
Prentice Hall Algebra Readiness c. 2010 = AR
McDougal Littel Algebra 1 c. 2004 = ML2
18 (change instructions from
solve to graph)
12-1, 8-7, 8-8; 9-5 pp 505-507
1-40, 9-6 pp 512-513 1-12
CC16, 12-1, 11-4
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