Algebra I(H) Benchmark Calendar 0809a

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2008–2009 Algebra I / IH Benchmark Calendar Curriculum and Professional Development Division Nevada Process Standards for Mathematics Problem Solving Mathematical Communication Students will develop their ability to solve problems by engaging in developmentally appropri- Students will develop their ability to communicate mathematically by solving problems where ate opportunities where there is a need to use various approaches to investigate and under- there is a need to obtain information from the real world through reading, listening, and ob-stand mathematical concepts in order to: serving in order to: ♦ Formulate their own problems. ♦ Translate information into mathematical language and symbols. ♦ Find solutions to problems from everyday situations. ♦ Process information mathematically. ♦ Develop and apply strategies to solve a variety of problems. ♦ Present results in written, oral, and visual formats. ♦ Integrate mathematical reasoning, communication, and connections. ♦ Discuss and exchange ideas about mathematics as a part of learning. ♦ Generalize solutions and apply previous knowledge to new problem solving situations. ♦ Read fiction and non–fiction texts to learn about mathematics. ♦ Determine an efficient strategy, verify, interpret, and evaluate the results with respect to ♦ Use mathematical notation to communicate and explain problems. the original problem. ♦ Use a variety of techniques to solve mathematical problems. ♦ Apply problem ...

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• Publié par: Erdau
• Nombre de lectures: 14
• Langue: English

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20082009 Algebra I / IH Benchmark Calendar

Curriculum and Professional Development Division

  Nevada Process Standards for Mathematics Problem Solving Mathematical Communication Students will develop their ability to solve problems by engaging in developme Students will develop their ability to com m autnhiecamtaetically by solving problems where  ate opportunities where there is a need to use various approaches to investigat there is a need to obtain information from the real world through reading, listening, and o stand mathematical concepts in order to: serving in order to: ♦ Formulate their own problems. ♦ Translate information into mathematical language and symbols. ♦ Find solutions to problems from everyday situations. ♦ Process information mathematically. ♦ Develop and apply strategies to solve a variety of problems. ♦ Present results in written, oral, and visual formats. ♦ Integrate mathematical reasoning, communication, and connections. ♦ Discuss and exchange ideas about mathematics as a part of learning. ♦ Generalize solutions and apply previous knowledge to new problem solving ♦ Read fiction and non–fiction texts to learn about mathematics. ♦ Determine an efficient strategy, verify, interpret, and evaluate the results ♦ Use mathematical notation to communicate and explain problems. the original problem. ♦ Use a variety of techniques to solve mathematical problems. ♦ Apply problem solving strategies until a solution is found or it is clear that ♦ Evaluate written and oral presentations in mathematics. exists. ♦ Model and explain mathematical relationships using oral, written, graphic, and algebr ♦ Interpret and solve a variety of mathematical problems by paraphrasing.  methods. ♦ Identify necessary and extraneous information. ♦ Communicate and evaluate mathematical thinking based on the use of definitions, pr erties, rules, and symbols in problem   solving. ♦ Check the reasonableness of a solution. ♦ Apply technology as a tool in problem solving situations. ♦ Use everyday language, both orally and in writing, to communicate strategies and sol ♦ Apply combinations of proven strategies and previous knowledge to solve  tions to mathematical pro   blems. problems. Mathematical Reasoning Mathematical Connections Students will develop their ability to reasoanti cmaalltyh ebym solving problems where theStudents will develop their ability to make mathematical connections by solving problems  a need to investigate mathematical ideas and construct their own learning in al where there is a need to view mathematics as an integrated whole in order to: in order to: ♦ Link new concepts to prior kno   wledge. ♦ Reinforce and extend their logical reasoning abilities. ♦ Identify relationships between conten   t strands. ♦ Reflect on, clarify, and justify their thinking. ♦ Integrate mathematics with other di   sciplines. ♦ Ask questions to extend their thinking. ♦ Allow the flexibility to approach problems in a variety of ways within and beyond the f ♦ Use patterns and relationships to analyze mathematical situations.  of mathemati   cs. ♦ Determine relevant, irrelevant, and/or sufficient information to solve proble ♦ Use mathematical ideas from one area of mathematics to explain an idea from anoth ♦ Recognize and apply deductive and inductive reasoning.  area of mathema   tics. ♦ Review and refine the assumptions and steps used to derive conclusions in ♦ Explain the relationship between concepts and   procedures. arguments. ♦ Use the connections among the mathematical topics to develop multiple approaches ♦ Make and test conjectures about algebraic and geometric properties based  problem   s. matical principles. ♦ Apply mathematical thinking and modeling to solve problems that arise in other disci- ♦ Justify the validity of an arg   ument. plines, such as rhythm in music and motion   in science. ♦ Construct a valid argu   ment. ♦ Identify, explain, and apply mathematics in ev   eryday life.   K12 Mathematics 20082009 Algebra I / IH Benchmark Calendar Page 2 of 19 CPD-MST-P010, Rev. A

   

Objectives 1 st Quarter Notes: August/September 1.1 The student will organize statistical data through the use of matrices (with and 5.12.1   ♦ August 25 Classes Begin     without technology)   ♦ September 1 Labor Day 1.2 The student will perform addition, subtraction, and scalar multiplication on matri- 1.7.7, ces. 1.12.7     1.3 The student will collect, organize, display, and analyze data using graphical repre- 5.8.1   sentations including box and whisker plots.     1.4 The student will determine the probability of an event with and without replace- 5.12.5 ment using sample spaces.   2.1 The student will use order of operations to evaluate expressions. 1.8.7     8.5 The student will calculate distance and midpoint between two points. 3.12.5,   (Honors Only) 4.12.7     Syllabus State   Objective Standard       Bold State Standard = Power Standard.       Objectives in bold are required in Alge T an ex d t   b r o ef o e k r   e c n h c a e p   t w er h / e S r e e c   t c io o n n s t   e a nt r   e  m m ay er b el e y     l g oc ui a d t e e s d   .  t   o  S m o e m e e t     o o b b j j e e c c t t i i v v e e s s       are not found directly in the text book; supplementary material will be required. Teachers are encouraged to use technology as a supplement to enhance student learning. The use of such soft- ware packages as Geometer’s Sketchpad, Fathom, and Compass Learning are recommended.

Textbook Correlat   McDougal Littell: Algebra I Holt: Algebra I    Chapters 1, 2, 4, 6, 12 Chapters 1, 2, 4, 5, 12, 13, 14 Sections 1.1–1.3, p.23, 1.5, 1.7, 2.1–2.8, Sections 1.1–1.5, 2.1–2.6, 43. , 4.5–4.6, 5.1, 4.8, 6.6–6.7, 12.8 12.8, 13.1, 13.4, 14.1 Supplementation required for Supplementation required for objectives 1.1–1.3, 2.3, and 3.2 objective 1.3     ML: Algebra I – Concepts & Skills  Pr I entice Hall: Algebra     Chapters 1, 2, 3, 4, 6, 12 er Sections 1.2–1.3, 1.6–18. , 2.1–2.8, C Se h c a t p i t ons s     1 1 . ,  1 2 – ,  1 4 . , 9   , 5     2.3, 2.   6, 4.5–4.6, 5.1– 5.4,  pp.119–120, p.127, 3.7, p.195, 5.6 4.8, 6.6, 12.9, pp.777–780 Supplementation required for Supplementation required for  objectives 1.2, 1.4, and 3.2 E bed Process Standards on page 2 throughout instruction. objectives 1.1–1.3 and 2.3 m

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Objectives 1 st Quarter Notes: August/September 1.1 The student will organize statistical data through the use of matrices (with and with- 5.12.1   ♦ August 25 Classes Begin 1   .2   o T u h t e  t   e st c u h d n e o n lo t  g w y il ) l    perform addition, subtraction, and scalar multiplication on m ♦     September 1 Labor Day atrices. 1.7.7, ♦ September 22 – 26 Practice Proficiency 1.12.7   1.3 The student will collect, organize, display, and analyze data using graphical repre- 5.8.1   sentations including box and whisker plots. 1.4 The student will determine the probability of an event with and without replacement 5.12.5 using sample spaces. 2.1 The student will use order of operations to evaluate expressions. 1.8.7 2.2 The student will evaluate formulas and algebraic expressions using rational num- 2.8.2 bers (with and without technology). 2.3 The student will use algebraic expressions to identify and describe the nth term of a 2.12.1   sequence. 2.4 The student will identify and apply real number properties using variables, including 1.12.8 distributive, commutative, associative, identity, inverse, and absolute value to ex- pressions or equations 2.5 The student will simplify algebraic expressions by adding and subtracting like terms. 2.12.3 3.1 The student will determine if a given relation is a function. 2.8.4 3.2 The student will describe and model functions using an input-output table, mapping 2.8.4 diagram, and writing a function rule with and without technology. 3.3 The student will evaluate functions using function notation for given values of the 2.8.4 variable. Textbook Correlation   McDougal Littell: Algebra I Holt: Algebra I    Chapters 1, 2, 4, 6, 12 Chapters 1, 2, 4, 5, 12, 13, 14 Sections 1.1–1.3, p.23, 1.5, 1.7, 2.1–2.8, Sections 1.1–1.5, 2.1–2.6, 43. , 4.5–4.6, 5.1, 4.8, 6.6–6.7, 12.8 12.8, 13.1, 13.4, 14.1 Supplementation required for Supplementation required for objectives 1.1–1.3, 2.3, and 3.2 objective 1.3     ML: Algebra I – Concepts & Skills  Prentice Hall: Algebra I     Chapters 1, 2, 3, 4, 6, 12 Chapters 1, 2, 4, 5 Sections 1.2–1.3, 1.6–1.8, 2.1–2.8,   Sections 1.1–1.9, 2.3, 2.6,4.5–4.6, 5.1–5.4, pp.119–120, p.127, 3.7, p.195, 5.6 4.8, 6.6, 12.9, pp.777–780 Supplementation required for Supplementation required for  1.4, and 3.2 objectives 1.1–1.3 and 2.3  objectives 1.2, Embed Process Standards on page 2 throughout instruction.

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Objectives 1 st Quarter Notes: October 2.8.4 ♦ October 3 Staff De m      3   .4  b T r h a e ic     s r t e u p d r e e n s t  e w n i t ll a  t ti r o a n n s s   la o t f  e a     a fu m n o c n ti g o   n v   e w r i b th al     a d n e d s   c w ri it p h ti o o u n t  s t , e  g c r h a n p o h l i o c g ,  y t . a    bular, and alge- ♦     October 13 – November 7 Interim A v s el s o e p ssm en e t n   t D s  ay  3.5 The student will determine and differentiate between the domain and range of 2.12.4 ♦ October 27 End of arte functions.   October 31  Nevada F   i D rs a t y     Qur  ♦   4.1 The student will solve linear equations and represent the solution graphically on 2.8.5 a number line and algebraically. 4.2 The student will isolate any variable in given equations, proportions, and formu- 2.12.2 las to use in mathematical and practical situations. 4.3 The student will solve practical problems involving linear equations with a variety 2.12.2, of methods, including discrete methods (with and without technology). 2.12.6

Textbook Correlation McDougal Littell: Algebra I Holt: Algebra I      Chapters 1, 3 Chapters 3, 4, 14 Sections 1.4, 1.7, 3.1–3.8 Sections 3.1–3.6, 4.1–4.2, 14.1     ML: Algebra I – Concepts & Skills  Prentice Hall: Algebra I       S C e h c a t p i t o e n r s s     1 1 . ,  8 2 ,  ,  3 3 . , 1  4 – , 3   . 6 9 ,  ,  1 4 2 .   8, 5.5, 11.1, p.781  Chapters 2, 4, 5 Sections 2.1–2.7, 4.3, 4.4, 5.3 Supplementation required for objective 4.3

K12 Mathematics   CPD-MST-P010, Rev. A

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d Objectives 2 n Quarter Notes: November 2.8.5 4.4 The student will solve linear inequalities and represent the solution graphically ♦ October 13 – November 7 Interim Assessment     on a number line and algebraically. ♦ November 4 ` Staff Development Day 4.5 The student will solve absolute value equations both algebraically and graphi- 2.12.4 ♦ November 10–11 Veterans’ Day cally on a number line. ♦ November 27 – 2 4.6 The student will solve compound inequalities and represent the solution graphi-2.12.4 8 Thanksgiving Break   cally on a number line and algebraically. 4.7 The student will solve absolute value inequalities and represent the solution 2.12.4 graphically on a number line and algebraically. 5.1 The student will compare characteristics of a given family of linear functions. 4.12.5 5.2 The student will determine the slope of lines using coordinate geometry and 4.12.5 algebraic techniques. 5.3 The student will determine the x- and y-intercepts of a line. 4.8.5 5.4 The student will graph linear equations and find possible solutions to those 4.12.5 equations using coordinate geometry.

Textbook Correlation McDougal Littell: Algebra I Holt: Algebra I      Chapters 4, 6 Chapters 5, 6 Sections 4.1–4.4, 6.1–6.5 Sections 5.1–5.4, 6.1–6.3, 6.5     ML: Algebra I – Concepts & Skills  Prentice Hall: Algebra I     C Se h c a t p i t o e n r s s    1 3 , .   5 2, –   3 3 . ,  6 4 ,  , 4   . 6 2 ,  – 1 4 2 .   5, 6.1–6.7  Chapters 3, 6 Sections 3.1–3.6, 6.1–6.3 Supplementation required for objectives 5.1, 5.4

  K12 Mathematics CPD-MST-P010, Rev. A

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Objectives 2 nd Quarter Notes: December/January 5.5 The student will translate among the different forms of linear equations including 2.8.4 ♦ December 22 – January 2 Winter Break     slope-intercept, point-slope, and standard form. ♦ January 5    Classes Resume 5.6 T po h i e n   t s s t , u  a d   e p n o t i   n w t i   ll a   n b d e     t a h b e l   e s   l t o o p   e w , r   i t t a e b  t l h e  e o   f e   q va u l a u ti e o s n ,    o o r f    a a     l g in ra e p ar h   i f c u a n l  c r t e io p n r   e g s i e v n e t n a   t t i w o o n   .  2.8.4 ♦ January 12 – 16 Semester Exams 5.7 The student will identify parallel, perpendicular, and intersecting li es by slope. 4.12.5 ♦ January 16 End of Second Quarter n 5.8 The student will design, construct and analyze scatter plots to make predictions. 5.12.6 5.9 The student will be able to use a scatter plot to find a linear equation that ap- 5.12.6 proximates a set of data points. 5.10 The student will graph linear inequalities in two variables and find possible solu-2.12.4   tion sets to those inequalities using coordinate geometry. 5.11 The student will graph absolute value equations and find possible solutions to 2.12.4 those equations using coordinate geometry.

Textbook Correlation   McDougal Littell: Algebra I Holt: Algebra I    Chapters 4, 5, 6 Chapters 1, 5, 6, 7 Sections 4.5–4.7, 5.1–5.7, 6.5, p.359 Sections 1.4–1.6, 5.5–5.6, 6.4–6.5,   Supplementation required for 7.5 (single inequalities only) objective 5.11     Prentice Hall: Algebra I ML: Algebra I – Concepts & Skills     Chapters 1, 3, 6   Chapters 1, 2, 3, 4, 6, 12 Sections 1.9, 5.5, 6.2–6.7, 7.5 Sections 4.1, 4.5, 5.1–5.4, 5.6, 6.8 Supplementation required for objectives 5.8, 5.9, and 5.11

K12 Mathematics   CPD-MST-P010, Rev. A

Embed Process Standards on page 2 throughout instruction.

20082009 Algebra I / I   H Benchmark Calendar Page 11 of 19