Poyen School
Poyen School Curriculum K - 12 2007-2008

Mathematics - Algebra A


Language of Algebra

    Evaluate algebraic expressions
The learner will be able to evaluate algebraic expressions, including radicals, by applying the order of operations.
Strand Bloom's Scope Hours Source
Vocabulary,symbols, operations Master 1.0 2004 Arkansas Mathematics Frameworks LA.1.AI.1
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Evaluate algebraic expressions: lesson 1.1 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Evaluate algebraic expression; lesson 1.2 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Apply order of operations: lesson 1.3 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Preclass activities [Textbook].  139, 215, 224, 247, 211, 163, 226, 240, 244, 26, 66, 130, 219, 245, 207, 222
- Algebra I Concepts & Skills, McDougal Littell, Open Response 12 [Textbook].  
  
    Translate words to algebraic
The learner will be able to translate word phrases and sentences into expressions, equations, and inequalities and vice versa.
Strand Bloom's Scope Hours Source
Vocabulary,symbols, operations Master 1.0 2004 Arkansas Mathematics Frameworks LA.1.AI.2
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Translate Words to Math; expressions; [Textbook].  Lesson 1.5; Preclass 14, 15
- Algebra I Concepts & Skills, McDougal Littell, Translate Words to Math; Equations; [Textbook].  Lesson 1.5; Open Response 221; Preclass 218, 209, 192, 169, 168, 71, 73, 225, 78, 69
- Algebra I Concepts & Skills, McDougal Littell, Translate Words to Math; Inequalities [Textbook].  Lesson 1.5; Preclass 4, 173, 74, 35, 70
- Algebra I Concepts & Skills, McDougal Littell, Translate math to words; expressions [Textbook].  WS 2
- Algebra I Concepts & Skills, McDougal Littell, Translate Math to Words; equations [Textbook].  WS 138
- Algebra I Concepts & Skills, McDougal Littell, Translate Math to Words; Inequalities; [Textbook].  WS 347, 351, 353
  
    Scientific notation
The learner will be able to solve problems involving scientific notation.
Strand Bloom's Scope Hours Source
Vocabulary,symbols, operations Master 1.0 2004 Arkansas Mathematics Frameworks LA.1.AI.4
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Lesson 8.5 [Textbook].  
- Open Response, WS 64 [Teaching Strategies].  
- Open Response, 80, 81, 82, 79A [Teaching Strategies].  
- Activity, Preclass; 155, 91 [Teaching Strategies].  
  
    Simplify algebraic fractions: factor
The learner will be able to simplify algebraic fractions by factoring.
Strand Bloom's Scope Hours Source
Vocabulary,symbols, operations Master 1.0 2004 Arkansas Mathematics Frameworks LA.1.AI.6
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Lesson 11.3 [Textbook].  
- Activity, Preclass 226 [Teaching Strategies].  
  
    Undefined expressions
The learner will be able to recognize when an expression is undefined.
Strand Bloom's Scope Hours Source
Vocabulary,symbols, operations Master 1.0 2004 Arkansas Mathematics Frameworks LA.1.AI.7
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Lesson 11.3; rational expressions [Textbook].  Add to lesson undefined values; recognize when an expression is undefined; WS 57 & 58
- Algebra I Concepts & Skills, McDougal Littell, Lesson 12.1; radicals [Textbook].  Relate domain/undefined
  

Solving Equations & Inequalities

    Solve multi-step equations/inequalities
The learner will be able to solve multi-step equations and inequalities with rational coefficients 1. Numerically (from a table or guess and check) 2. Algebraically (including the use of manipulatives) 3. Graphically 4. Technologically.
Strand Bloom's Scope Hours Source
Equations, Inequalities, Systems of Eq. Master 1.0 2004 Arkansas Mathematics Frameworks SEI.2.AI.1
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Equations Numerically; lesson 1.4 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Equations Algebraically; lesson 3.1, 3.2, 3.3, 3.4 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Equations Manipulatives; page 131; page 150 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Equations Graphically; WS 100 - 104 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Equations Technology; page 170; WS 100 - 104 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Open Response; Page 44, 45 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Preclass worksheets [Textbook].  213, 3, 170, 95, 33, 32, 30, 167, 92, 62, 44, 43
- Algebra I Concepts & Skills, McDougal Littell, Inequalities numerically; lesson 1.4; page 329 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Inequalities Algebraically; [Textbook].  Lessons 6.1, 6.2, 6.3, 6.4, 6.5
- Algebra I Concepts & Skills, McDougal Littell, Inequalities Manipulatives; WS 23 - 25 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Inequalities Graphically; [Textbook].  Lessons 6.1, 6.2, 6.3, 6.4, 6.5
  
    Systems of 2 linear equations
The learner will be able to solve systems of two linear equations 1. Numerically (from a table or guess and check) 2. Algebraically (including the use of manipulatives) 3. Graphically 4. Technologically.
Strand Bloom's Scope Hours Source
Equations, Inequalities, Systems of Eq. Master 1.0 2004 Arkansas Mathematics Frameworks SEI.2.AI.2
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, numerically; lesson 7.1 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, algebraically; lessons 7.2, 7.3, 7.4, 7.5 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, graphically; lesson 7.1, page 415, lesson 7.5 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, technology; page 395 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Open response; 30A, 46, 76, 19, 1 - 6, 91 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Preclass activities [Textbook].  31, 215, 216, 85, 230, 202, 193, 152, 140, 107, 77, 129, 76
  
    Literal equations
The learner will be able to solve linear formulas and literal equations fro a specified variable. (Example: Solve for p in I = prt).
Strand Bloom's Scope Hours Source
Equations, Inequalities, Systems of Eq. Master 1.0 2004 Arkansas Mathematics Frameworks SEI.2.AI.3
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, solve formulas for a variable; lesson 3.7 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, solve literal equations; WS 19 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, open response 79 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Preclass 187; 64 [Textbook].  
  
    Absolute value equations/inequalities
The learner will be able to solve and graph simple absolute value equations and inequalities See 2004 Arkansas Mathematics Frameworks for specific examples.
Strand Bloom's Scope Hours Source
Equations, Inequalities, Systems of Eq. Master 1.0 2004 Arkansas Mathematics Frameworks SEI.2.AI.4
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, absolute value equations; page 354; lesson 6.6 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, absolute value inequalities; lesson 6.7 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, preclass activity 65, 234 [Textbook].  
  
    Rates/proportions/percents
The learner will be able to solve real world problems that involve a combination of rates, proportions, and percents.
Strand Bloom's Scope Hours Source
Equations, Inequalities, Systems of Eq. Master 1.0 2004 Arkansas Mathematics Frameworks SEI.2.AI.5
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, lesson 1.6 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, lessons 3.8, 3.9 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, lessons 11.1, 11.2 [Textbook].  
- Activity Page, WS: DRT [Classroom Materials].  
- Activity Page, WS: Averages [Classroom Materials].  
- Activity Page, WS 286 [Classroom Materials].  
- Activity Page, Preclass Activities; [Classroom Materials].  220, 6, 19, 2, 8, 7, 79, 34, 11, 98, 67, 63, 27, 16, 23
- Activity Page, Open Response [Classroom Materials].  5, 1, 14, 29, 28, 36, 33, 37, 42, 53, 59, 57, 88, 86
  
    Direct and inverse variation
The learner will be able to solve problems involving direct variation and indirect (inverse) variation to model rates of change.
Strand Bloom's Scope Hours Source
Equations, Inequalities, Systems of Eq. Master 1.0 2004 Arkansas Mathematics Frameworks SEI.2.AI.6
Instructional Resources
- Activity Page, Open Response; 56, 89, WS 376 [Classroom Materials].  
- Activity Page, preclass activities [Classroom Materials].  229, 228, 227, 160, 228A, 236
- Algebra I Concepts & Skills, McDougal Littell, lesson 11.2 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, page 645; graphing calculator activity [Textbook].  
  
    Coordinate geometry
The learner will be able to use coordinate geometry to represent and/or solve problems (midpoint, length of a line segment, and Pythagorean Theorem).
Strand Bloom's Scope Hours Source
Equations, Inequalities, Systems of Eq. Master 1.0 2004 Arkansas Mathematics Frameworks SEI.2.AI.7
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Use coordinate geometry to represent/solve problem [Textbook].  lesson 4.1, 4.2, 4.3, 4.4, 4.5; page 209
- Algebra I Concepts & Skills, McDougal Littell, Midpoint; lesson 12.8 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Length of segment (distance); lesson 12.7 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Pythagorean theorem; page 722 & 723; lesson 12.6 [Textbook].  
- Activity, Open Response: 64, 93 [Teaching Strategies].  
- Activity, Preclass212, 203, 227, 213, 195, 117, 119, 118, 90 [Teaching Strategies].  
  
    Real world problems
The learner will be able to communicate real world problems graphically, algebraically, numerically, and verbally.
Strand Bloom's Scope Hours Source
Equations, Inequalities, Systems of Eq. Master 1.0 2004 Arkansas Mathematics Frameworks SEI.2.AI.8
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Equations: lesson 1.6, 1.7, Chapter 3 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Systems; lesson 7.4 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Inequalities; lessons 6.1, 6.2, 6.3 [Textbook].  
- Activity, Open Response [Teaching Strategies].  7, 85, 182, 96, 92, 2, 15, 22, 21, 20, 27, 34, 32
- Activity, Preclass 86, 84, 87, 13, 29, 94, 93, 242, 241, 179 [Teaching Strategies].  72
  

Linear Functions

    Distinguish between functions/relations
The learner will be able to distinguish between functions and non-functions/relations by inspecting graphs, ordered pairs, mapping diagrams and/or tables.
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.1
Instructional Resources
- Activity, Preclass [Teaching Strategies].  53, 54, 55, 56, 57, 58, 59, 60, 61, 52, 157, 174, 171, 177
- Algebra I Concepts & Skills, McDougal Littell, Graph lesson 4.8 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Ordered pairs; WS 243 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Mapping; lesson 4.8 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, table; lesson 4.8 [Textbook].  
  
    Domain and range
The learner will be able to determine domain and range of a relation from an algebraic expression, graphs, sets of ordered pairs, or a table of data.
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.2
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Algebraic expression; lesson 4.8; WS 243 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Graph lesson 4.8 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Ordered pairs; WS 243; modified instructions [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Table; lesson 4.8 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, WS 243, 227, 1, 2 [Textbook].  
- Activity, Open Response 72 [Teaching Strategies].  
- Activity, Preclass 185, 178, 172 [Teaching Strategies].  
  
    Function notation
The learner will be able to know and/or use function notation, including evaluating functions for given values in their domain.
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.3
Instructional Resources
- Activity, Preclass [Teaching Strategies].  101, 113, 114, 115, 116, 109, 110, 111, 112, 83, 108
- Activity, Evaluate functions for given values in domain [Teaching Strategies].  WS 215, 216
- Algebra I Concepts & Skills, McDougal Littell, Know & use function notation [Textbook].  lesson 4.8; WS 229 & 230
  
    Independent and dependent variables
The learner will be able to identify independent variables and dependent variables in various representational modes: words, symbols, and/or graphs.
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.4
Instructional Resources
- Activity, WS 31 & 32 [Teaching Strategies].  
- Activity, Open Response 70 [Teaching Strategies].  
- Activity, Preclass 22, 1 [Teaching Strategies].  
  
    Interpret slope and intercepts
The learner will be able to interpret the rate of change/slope and intercepts within the context of everyday life. (Example: Telephone charges based on base rate (y intercept) plus rate per minute (slope)).
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.5
Instructional Resources
- Activity, Preclass 17, 9, 246 [Teaching Strategies].  
- Activity, Open Response 94, 90, 36A, 112, 111, 110, 109, 108 [Teaching Strategies].  
- Algebra I Concepts & Skills, McDougal Littell, Page 228; slope activity [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, lesson 5.5 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, WS 80 [Textbook].  
  
    Calculate slope
The learner will be able to calculate the slope given: 1. Two points 2. The graph of a line 3. The equation of a line.
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.6
  
    Parallel, perpendicular or neither
The learner will be able to determine by using slope whether a pair of lines are parallel, perpendicular, or neither.
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.7
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, page 242; activity [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, lesson 4.7 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, lesson 5.2 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, page 305; activity [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, lesson 5.6 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, WS 36 [Textbook].  
- Activity, Preclass 223, 235 [Teaching Strategies].  
  
    Slope-intercept form of an equation
The learner will be able to write an equation in slope-intercept form given: 1. Two points 2. A point and y-intercept 3. X-intercept and y-intercept 4. A point and slope 5. A table of data 6. The graph of a line.
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.8
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Given 2 points; lesson 5.3 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, point & y intercept; WS 1 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, X & Y intercept; WS 1 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Point & slope; lesson 5.2 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Table; WS 1 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Graph of line; lessons 5.2, 5.3 [Textbook].  
- Activity, Open Response 100A, 100 [Teaching Strategies].  
- Activity, Preclass [Teaching Strategies].  105, 103, 106, 218, 243, 221, 220, 100, 82, 39, 219, 150, 153, 21, 81, 104
  
    Effects of change on linear graphs
The learner will be able to describe the effects of parameter changes, slope and/or y-intercept, on graphs of linear functions and vice versa.
Strand Bloom's Scope Hours Source
Analyze functions Master 1.0 2004 Arkansas Mathematics Frameworks LF.3.AI.9
Instructional Resources
- Activity, Open Response 31, 74 [Teaching Strategies].  
- Activity, Preclass 40, 80, 102, 197 [Teaching Strategies].  
- Algebra I Concepts & Skills, McDougal Littell, Lesson 4.7 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Graphing Calculator; page 250 & 251 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, page 242; activity [Textbook].  
  

Data Interpretation and Probability

    Inferences from scatter plots
The learner will be able to construct and use scatter plots and line of best fit to make inferences in real life situations.
Strand Bloom's Scope Hours Source
Report data/make predictions Master 1.0 2004 Arkansas Mathematics Frameworks DIP.5.AI.1
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Lesson 4.1 [Textbook].  
- Activity, WS 54 - 56 [Teaching Strategies].  
- Activity, WS 60 [Teaching Strategies].  
- Activity, WS 61 [Teaching Strategies].  
- Activity, Open Response; B, 10, 11, 103, 104 [Teaching Strategies].  
- Activity, Preclass; 122, 123, 204, 205 [Teaching Strategies].  
  
    Simple matrices
The learner will be able to use simple matrices in addition, subtraction, and scalar multiplication.
Strand Bloom's Scope Hours Source
Report data/make predictions Master 1.0 2004 Arkansas Mathematics Frameworks DIP.5.AI.2
Instructional Resources
- Add to lesson, Goes with Chapter 2 (integers) [Teaching Strategies].  
- Activity, WS 60, 61, 62 [Teaching Strategies].  
- Activity, WS 790 [Teaching Strategies].  
- Activity, Preclass 125, 162, 159, 124, 151 [Teaching Strategies].  
  
    Construct matrices
The learner will be able to construct simple matrices for real life situations.
Strand Bloom's Scope Hours Source
Report data/make predictions Master 1.0 2004 Arkansas Mathematics Frameworks DIP.5.A1.3
Instructional Resources
- Add to lesson, Goes with chapter 2 (integers) [Teaching Strategies].  
- Activity, WS 66, 67 [Teaching Strategies].  
- Activity, Open Response 69 [Teaching Strategies].  
- Activity, Preclass 126, 164 [Teaching Strategies].  
  
    Box-and-whisker plots
The learner will be able to use two or more box-and-whisker plots to compare data sets.
Strand Bloom's Scope Hours Source
Report data/make predictions Master 1.0 2004 Arkansas Mathematics Frameworks DIP.5.AI.5
Instructional Resources
- Activity, WS 378 - 380 [Teaching Strategies].  
- Activity, Open Response 105, 106 [Teaching Strategies].  
- Activity, Preclass 120, 134, 232 [Teaching Strategies].  
- Algebra I Concepts & Skills, McDougal Littell, Page 803 - 807 [Textbook].  
  
    Cumulative frequency histogram
The learner will be able to construct and interpret a cumulative frequency histogram in real life situations.
Strand Bloom's Scope Hours Source
Report data/make predictions Master 1.0 2004 Arkansas Mathematics Frameworks DIP.5.AI.6
Instructional Resources
- Activity, WS 793 - 796 [Teaching Strategies].  
- Activity, Preclass 238 [Teaching Strategies].  
- Algebra I Concepts & Skills, McDougal Littell, Page 777 & 779 [Textbook].  
  
    Recognize linear/nonlinear functions
The learner will be able to recognize linear functions and non-linear functions by using a table or a graph.
Strand Bloom's Scope Hours Source
Report data/make predictions Master 1.0 2004 Arkansas Mathematics Frameworks DIP.5.AI.7
Instructional Resources
- Activity, WS 96, 98 - 102 [Teaching Strategies].  
- Activity, Preclass 18 [Teaching Strategies].  
- Activity, Open Response 30 [Teaching Strategies].  
  
    Simple probability
The learner will be able to compute simple probability with and without replacement.
Strand Bloom's Scope Hours Source
Report data/make predictions Master 1.0 2004 Arkansas Mathematics Frameworks DIP.5.AI.8
Instructional Resources
- Activity, Open Response 19, 55, 68 [Teaching Strategies].  
- Activity, Preclass 222, 211, 189, 190, 198, 231, 239 [Teaching Strategies].  
- Activity, WS 53 & 54 [Teaching Strategies].  
- Algebra I Concepts & Skills, McDougal Littell, Pages 808 - 812 [Textbook].  
  
    Explicit and recursive functions
The learner will be able to recognize patterns using explicitly defined and recursively defined linear functions.
Strand Bloom's Scope Hours Source
Report data/make predictions Master 1.0 2004 Arkansas Mathematics Frameworks DIP.5.AI.9
Instructional Resources
- Algebra I Concepts & Skills, McDougal Littell, Page 22 & 23 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Page 1 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, Lesson 1.7 [Textbook].  
- Algebra I Concepts & Skills, McDougal Littell, WS 255, 256, 257, 258 [Textbook].  
- Activity, Open Response 98, 18, 25, 51, 95 [Teaching Strategies].  
- Activity, Preclass 223 [Teaching Strategies].  
  

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