# Prentice Hall Mathematics: Algebra Correlated to: Michigan Merit Curriculum for Algebra 1

Save this PDF as:

Size: px
Start display at page:

Download "Prentice Hall Mathematics: Algebra 1 2007 Correlated to: Michigan Merit Curriculum for Algebra 1"

## Transcription

1 STRAND 1: QUANTITATIVE LITERACY AND LOGIC STANDARD L1: REASONING ABOUT NUMBERS, SYSTEMS, AND QUANTITATIVE SITUATIONS Based on their knowledge of the properties of arithmetic, students understand and reason about numbers, number systems, and the relationships between them. They represent quantitative relationships using mathematical symbols, and interpret relationships from those representations. L1.1 Number Systems and Number Sense L1.1.1 Know the different properties that hold in SE/TE: 56-62, 70-76, 79-91, , 112, different number systems, and recognize that the , 192, 194, 241, , 608, 610 applicable properties change in the transition from the positive integers, to all integers, to the rational numbers, and to the real numbers. TE: 57, 59, 62, 71-72, 75, 80, 84, 87, 89, 144, 147, 573, 575 Guide: 2-1, 2-3, 2-4, 3-4, 4-6, 10-4; Vocabulary and Study Skills Worksheets (English and Spanish): 2-1, 2-3, 2-4, 2-5, 3-4, 4-6, 10-4; Activity Labs: 2-1, 2-4, 3-4; Technology Activities: 2-3, 3-4, 4-6; Checkpoint Quiz (English and Spanish): 2-4; Quiz Show CD-ROM; TI 83/84 Plus Activities: 2-3; Web Code: atg- 9041, ate-0201, ata-0201, ate-2032, ate- 0203, ata-0203, ate-0204, ata-0204, ate- 0205, ata-0205, ate-0304, ata-0304, ate- 0406, ata-0406, ate-1004, ata-1004 L1.1.2 Explain why the multiplicative inverse of a number has the same sign as the number, while the additive inverse of a number has the opposite sign. SE/TE: 56-62, 72-76, 1

2 TE: 57, 59, 62, 71-72, 75 Worksheets (English and Spanish): 2-1, 2-3; Activity Labs: 2-1; Technology Activities: 2-3 Quiz Show CD-ROM; TI 83/84 Plus Activities: 2-3; Web Code: atg- 9041, ate-0201, ata-0201, ate-2032, ate- 0203, ata-0203 L1.1.3 Explain how the properties of associativity, commutativity, and distributivity, as well as identity and inverse elements, are used in arithmetic and algebraic calculations. SE/TE: 56-62, 70-76, 79-91, , 112 TE: 57, 59, 62, 71-72, 75, 80, 84, 87, 89 Guide: 2-1, 2-3, 2-4; Vocabulary and Study Skills Worksheets (English and Spanish): 2-1, 2-3, 2-4, 2-5; Activity Labs: 2-1, 2-4; Technology Activities: 2-3; Checkpoint Quiz (English and Spanish): 2-4 2

3 Quiz Show CD-ROM; TI 83/84 Plus Activities: 2-3; Web Code: atg- 9041, ate-0201, ata-0201, ate-2032, ate- 0203, ata-0203, ate-0204, ata-0204, ate- 0205, ata-0205, L1.1.4 Describe the reasons for the different effects of multiplication by, or exponentiation of, a positive number by a number less than 0, a number between 0 and 1, and a number greater than 1. SE/TE: 69-76, 110, 112, , 485, 488 TE: 71, , 434 Worksheets (English and Spanish): 2-3, 8-1; Technology Activities: 2-3 Quiz Show CD-ROM; TI 83/84 Plus Activities: 2-3; Web Code: ate- 0203, ata-0203, ate-0801, ata

4 L1.1.5 Justify numerical relationships (e.g., show that the sum of even integers is even; that every integer can be written as 3m +k, where k is 0, 1, or 2, and m is an integer; or that the sum of the first n positive integers is n (n +1)/2). SE/TE: 516(#55), 542, 544 Worksheets (English and Spanish): 9-4 Web Code: ate-0904, ata-0904 L1.2 Representations and Relationships L1.2.2 Interpret representations that reflect absolute value relationships (e.g. l x - a l b, or a ± b ) in such contexts as error tolerance. SE/TE: , TE: 237, 239 Worksheets (English and Spanish): 4-6; Technology Activities: 4-6 4

5 Web Code: ate-0406, ata-0406 L1.2.4 Organize and summarize a data set in a table, plot, chart, or spreadsheet; find patterns in a display of data; understand and critique data displays in the media. SE/TE: 33-39, 42-45, 49-50, , TE: 34, 36, 42, 44, 351, 355 Worksheets (English and Spanish): 1-5, 1-6, 6-7; Activity Labs: 6-7; Checkpoint Quiz (English and Spanish): 1-5, 6-7 Web Code: ate-0105, ata-0105, ate-0106, ata- 0106, ate-2122, ate-0607, ata

6 STANDARD L2: CALCULATION, ALGORITHMS, AND ESTIMATION Students calculate fluently, estimate proficiently, and describe and use algorithms in appropriate situations (e.g., approximating solutions to equations.) They understand the basic ideas of iteration and algorithms. L2.1 Calculation Using Real and Complex Numbers L2.1.1 Explain the meaning and uses of weighted averages (e.g., GNP, consumer price index, grade point average). L2.1.2 Calculate fluently with numerical SE/TE: , , , 488 expressions involving exponents; use the rules of exponents; evaluate numerical expressions involving rational and negative exponents; transition easily between roots and exponents. TE: , 434, , 446, , 452, 455, 458 Worksheets (English and Spanish): 8-1, 8-3, 8-5; Checkpoint Quiz (English and Spanish): 8-4 Web Code: ate-0801, ata-0801, ate-0803, ata- 0803, ate-0775, ate-0804, ata-0804, ate- 0775, ate-0805, ata-0805 L2.1.3 Explain the exponential relationship between a number and its base 10 logarithm, and use it to relate rules of logarithms to those of exponents in expressions involving numbers. 6

7 L2.1.4 Know that the complex number i is one of two solutions to x 2 = -1. L2.1.5 Add, subtract, and multiply complex numbers; use conjugates to simplify quotients of complex numbers. L2.1.6 Recognize when exact answers aren t always possible or practical; use appropriate algorithms to approximate solutions to equations (e.g., to approximate square roots). SE/TE: , TE: 177, 179 Worksheets (English and Spanish): 3-8; Checkpoint Quiz (English and Spanish): 3-8 L3.1 Measurement Units, Calculations, and Scales L3.1.2 Describe and interpret logarithmic relationships in such contexts as the Richter scale, the ph scale, or decibel measurements (e.g., explain why a small change in the scale can represent a large change in intensity); solve applied problems. Web Code: ate-0308, ata-0308, ate-1002, ata STANDARD L3: MEASUREMENT AND PRECISION Students apply measurement units and calculations, and understand the concept of error. 7

8 STRAND 2: ALGEBRA AND FUNCTIONS STANDARD A1: EXPRESSIONS, EQUATIONS, AND INEQUALITIES Students recognize, construct, interpret, and evaluate expressions. They fluently transform symbolic expressions into equivalent forms. They determine appropriate techniques for solving each type of equation, inequality, or system of equations, apply the techniques correctly to solve, justify the steps in the solutions, and draw conclusions from the solutions. They know and apply common formulas. A1.1 Construction, Interpretation, and Manipulation of Expressions (linear, quadratic, polynomial, rational, power, exponential, logarithmic, and trigonometric) A1.1.1 Give a verbal description of an expression SE/TE: 4-8, 10-15, 48, 50 that is presented in symbolic form, write an algebraic expression from a verbal description, and evaluate expressions given values of the variables. TE: 5, 7, 11-12, 14 Worksheets (English and Spanish): 1-1 Web Code: ate-0101, ata-0101, ate-0775, ate- 0102, ata-0102 A1.1.2 Know the definitions and properties of exponents and roots, transition fluently between them, and apply them in algebraic expressions. SE/TE: 9-15, 48, 50, , , , , 655, 658 TE: 11-12, 14, 177, 179, , 446, , 452, 455, 458, , 620 8

9 Worksheets (English and Spanish): 3-8, 8-3, 8-5, 11-1; Checkpoint Quiz (English and Spanish): 3-8, 8-4 Web Code: ate-0775, ate-0102, ata-0102, ate- 0308, ata-0308, ate-0803, ata-0803, ate- 0775, ate-0804, ata-0804, ate-0775, ate- 0805, ata-0805, ate-1101, ata-1101 A1.1.3 Factor algebraic expressions using, for example, greatest common factor, grouping, and the special product identities (e.g., differences of squares and cubes). SE/TE: , , TE: 501, 503, 520, 522, 525, 527, , 532, , 538 Worksheets (English and Spanish): 9-2, 9-5, 9-8; Activity Labs: 9-7; Checkpoint Quiz (English and Spanish): 9-7 9

10 Web Code: ate-0902, ata-0902, ate-0905, ata- 0905, ate-0906, ata-0906, ate-0907, ata- 0907, ate-0775, ata-0908, ate-0908, ate A1.1.6 Transform exponential and logarithmic expressions into equivalent forms using the properties of exponents and logarithms including the inverse relationship between exponents and logarithms. A1.2 Solutions of Equations and Inequalities (linear, quadratic, polynomial, rational, power, exponential, logarithmic, and trigonometric) A1.2.1 Write equations and inequalities with one or two variables to represent mathematical or applied situations, and solve. SE/TE: , , , , 194, , , 244, 246 TE: 121, 123, , 131, , 138, 208, 210, 214, 216, , 224 Worksheets (English and Spanish): 3-1, 3-2, 4-2, 4-4; Activity Labs: 3-3; Technology Activities: 3-3; Checkpoint Quiz (English and Spanish):

11 Quiz Show CD-ROM; TI 83/84 Plus Activities: 3-1, 4-4; Web Code: ate- 0301, ata-0301, ata-0302, ate-0302, ate- 0303, ata-0303, ata-0402, ate-0402, ate- 0403, ata-0403, ate-0775, ate-0404, ata A1.2.2 Associate a given equation with a function whose zeros are the solutions of the equation. SE/TE: , 608, 610 TE: 566, 569 Guide; Technology Activities: 10-3; Checkpoint Quiz (English and Spanish): 10-3 Web Code: ate-1003, ata-1003 A1.2.3 Solve (and justify steps in the solutions) linear and quadratic equations and inequalities, including systems of up to three linear equations with three unknowns; apply the quadratic formula appropriately. SE/TE: , , 244, 246, , , , , 424, , , ,

12 TE: 208, 210, 214, 216, , 224, , 378, 383, 386, , 392, , 401, 566, 569, 573, 575, 581, 583, 587, 589 Worksheets (English and Spanish): 4-2, 4-4, 7-1, 7-2, 7-3, 10-4, 10-6; Activity Labs: 10-5; Technology Activities: 7-1, 7-3, 10-3; Checkpoint Quiz (English and Spanish): 4-3, 7 2, 10-3 Quiz Show CD-ROM; TI 83/84 Plus Activities: 4-4, 7-1, 10-4; Web Code: ata-0402, ate-0402, ate-0403, ata- 0403, ate-0775, ate-0404, ata-0404, ate- 0701, ata-0701, ata-0702, ate-0702, ate- 0775, ate-0703, ata-0703, ate-1003, ata- 1003, ate-1004, ata-1004, ate-0775, ate- 1005, ata-1005, ate-0775, ate-1006, ata A1.2.4 Solve absolute value equations and inequalities, (e.g. solve l x - 3 l 6), and justify steps in the solution. SE/TE: , TE: ,

13 Worksheets (English and Spanish): 4-6; Technology Activities: 4-6 Web Code: ate-0406, ata-0406 A1.2.6 Solve power equations (e.g., (x + 1) 3 = 8) and equations including radical expressions (e.g., = 7), justify steps in the solution, and explain how extraneous solutions may arise. SE/TE: , 656, 658 TE: , 633 Worksheets (English and Spanish): 11-3; Technology Activities:

14 Web Code: ate-0775, ate-1103, ata-1103 A1.2.8 Solve an equation involving several variables (with numerical or letter coefficients) for a designated variable, and justify steps in the solution. SE/TE: STANDARD A2: FUNCTION Students understand functions, their representations, and their attributes. They perform transformations, combine and compose functions, and find inverses. Students classify functions and know the characteristics of each family. They work with functions with real coefficients fluently. A2.1 Definitions, Representations, and Attributes of Functions A2.1.1 Recognize whether a relationship (given in SE/TE: 29-32, 48, 50, , 300, 302 contextual, symbolic, tabular, or graphical form) is a function; and identify its domain and range. TE: 29, 31, 259, 261 Worksheets (English and Spanish): 1-4, 5-2; Activity Labs: 5-2; Checkpoint Quiz (English and Spanish):

15 Web Code: ata-0104, ate-0104, atb-2031, ate- 0502, ata-0502 A2.1.2 Read, interpret, and use function notation, and evaluate a function at a value in its domain. SE/TE: , 300, 302 TE: 259, 261 Worksheets (English and Spanish): 5-2; Activity Labs: 5-2; Checkpoint Quiz (English and Spanish): 5-2 Web Code: ate-0502, ata-0502 A2.1.3 Represent functions in symbols, graphs, tables, diagrams, or words, and translate among representations. SE/TE: , , 300, 302 TE: , 267, ,

16 Worksheets (English and Spanish): 5-4; Activity Labs: 5-4; Technology Activities: 5-3 Quiz; Student Express CD-ROM; TI Navigator, Instant Check System; Success Tracker TM Online Quiz Show CD-ROM; TI 83/84 Plus Activities: 5-3; Web Code: ate- 0775, ate-0503, ata-0503, ate-0504, ata A2.1.4 Recognize that functions may be defined by different expressions over different intervals of their domains; such functions are piecewisedefined (e.g., absolute value and greatest integer functions). A2.1.5 Recognize that functions may be defined recursively, and compute values of and graph simple recursively defined functions (e.g., f (0) = 5, and f (n ) = f (n -1) + 2 ). SE/TE: 296, TE: 297 Guide; Technology Activities:

17 Quiz; Student Express CD-ROM; TI Navigator, Instant Check System; Success Tracker TM Online Web Code: ata-0507, ate-0507, ate-2032 A2.1.6 Identify the zeros of a function and the intervals where the values of a function are positive or negative, and describe the behavior of a function, as x approaches positive or negative infinity, given the symbolic and graphical representations. SE/TE: , 608, 610 TE: 566, 569 Guide; Technology Activities: 10-3; Checkpoint Quiz (English and Spanish): 10-3 Web Code: ate-1003, ata-1003 A2.1.7 Identify and interpret the key features of a function from its graph or its formula(e), (e.g. slope, intercept(s), asymptote(s), maximum and minimum value(s), symmetry, average rate of change over an interval, and periodicity). SE/TE: , , , , 368, , , , 715, 718 TE: , 314, , 334, , 555, ,

18 Worksheets (English and Spanish): 6-1, 6-2, 6-4, 10-1, 12-1; Activity Labs: 6-2; Technology Activities: 6-1, 6-2, 12-1; Checkpoint Quiz (English and Spanish): 6-4 Quiz; Student Express CD-ROM; TI Navigator, Instant Check System; Success Tracker TM Online Quiz Show CD-ROM; TI 83/84 Plus Activities: 6-2, 12-1; Interactive Textbook Online: 6-2; Web Code: ate-0775, ate-0601, ata-0601, ata-0602, ate-0602, ate- 2032, ate-0604, ata-0604, ate-1001, ata- 1001, ate-1201, ata-1201 A2.2 Operations and Transformations A2.2.1 Combine functions by addition, subtraction, multiplication, and division. An opportunity to address this standard can be found on: SE/TE: , 541, 544 TE: 496, 498 Guide; Activity Labs: 9-1; Technology Activities:

19 A2.2.2 Apply given transformations (e.g., vertical or horizontal shifts, stretching or shrinking, or reflections about the x - and y -axes) to basic functions, and represent symbolically. Web Code: ate-0901, ata-0901 SE/TE: , 192, 194, , TE: 151, 154, 360, 362, Guide; Checkpoint Quiz (English and Spanish): 3-5 Quiz Show CD-ROM; TI 83/84 Plus Activities: 6-8; Web Code: ate- 0305, ata-0305, ate-0608, ata-0608 A2.2.3 Recognize whether a function (given in tabular or graphical form) has an inverse and recognize simple inverse pairs (e.g., f (x ) = x 3 and g (x ) = x 1/3 ). 19

20 A2.3 Families of Functions (linear, quadratic, polynomial, rational, power, exponential, logarithmic, and trigonometric) A2.3.1 Identify a function as a member of a family of functions based on its symbolic, or graphical representation; recognize that different families of functions have different asymptotic behavior at infinity, and describe these behaviors. SE/TE: , 715, 718 TE: 669 Worksheets (English and Spanish): 12-1; Technology Activities: 12-1; Quiz Show CD-ROM; TI 83/84 Plus Activities: Web Code: ate- 1201, ata-1201 A2.3.2 Describe the tabular pattern associated with functions having constant rate of change (linear); or variable rates of change. SE/TE: , 365, 368 TE: , 314 Worksheets (English and Spanish): 6-1; Activity Labs: 6-1; Technology Activities:

21 Quiz; Student Express CD-ROM; TI Navigator, Instant Check System; Success Tracker TM Online Web Code: ate-0775, ate-0601, ata-0601 A2.4 Lines and Linear Functions A2.4.1 Write the symbolic forms of linear functions SE/TE: , , 366, 368 (standard [i.e., Ax + By = C, where B 0 ], pointslope, and slope-intercept) given appropriate information, and convert between forms. TE: , 322, 332, 334, , 340 Worksheets (English and Spanish): 6-2, 6-4; Activity Labs: 6-2; Technology Activities: 6-2, 6-5; Checkpoint Quiz (English and Spanish): 6-4 Quiz; Student Express CD-ROM; TI Navigator, Instant Check System; Success Tracker TM Online Quiz Show CD-ROM; TI 83/84 Plus Activities: 6-2; Interactive Textbook Online: 6-2, 6-5; Web Code: ate-0602, ata-0602, ate-2032, ate-0604, ata-0604, ate- 0605, ata-0605 A2.4.2 Graph lines (including those of the form x = h and y = k ) given appropriate information. SE/TE: , , 366,

22 TE: , 322, , 328, 332, 334, , 340 Worksheets (English and Spanish): 6-2, 6-4; Activity Labs: 6-2; Technology Activities: 6-2, 6-5; Checkpoint Quiz (English and Spanish): 6-4 Quiz; Student Express CD-ROM; TI Navigator, Instant Check System; Success Tracker TM Online Quiz Show CD-ROM; TI 83/84 Plus Activities: 6-2; Interactive Textbook Online: 6-2, 6-5; Web Code: ate-0602, ata-0602, ate-2032, ate-0603, ata-0603, ate- 0604, ata-0604, ate-0605, ata-0605 A2.4.3 Relate the coefficients in a linear function to the slope and x - and y -intercepts of its graph. SE/TE: , 366, 368 TE: , 322 Worksheets (English and Spanish): 6-2; Activity Labs: 6-2; Technology Activities:

23 Quiz Show CD-ROM; TI 83/84 Plus Activities: 6-2; Web Code: ate- 0602, ata-0602, ate-2032 A2.4.4 Find an equation of the line parallel or perpendicular to given line, through a given point; understand and use the facts that non-vertical parallel lines have equal slopes, and that nonvertical perpendicular lines have slopes that multiply to give -1. SE/TE: , TE: , 348 Worksheets (English and Spanish): 6-6; Technology Activities: 6-6 Quiz; Student Express CD-ROM; TI Navigator, Instant Check System; Success Tracker TM Online Web Code: ate-0775, ate-0606, ata-0606 A2.5 Exponential and Logarithmic Functions A2.5.1 Write the symbolic form and sketch the graph of an exponential function given appropriate information. (e.g., given an initial value of 4 and a rate of growth of 1.5, write f (x ) = 4 (1.5) x ). SE/TE: , TE: 469,

24 Worksheets (English and Spanish): 8-7; Checkpoint Quiz (English and Spanish): 8-7 Quiz Show CD-ROM; TI 83/84 Plus Activities: 8-7; Web Code: ate- 0807, ata-0807 A2.5.4 Understand and use the fact that the base of an exponential function determines whether the function increases or decreases and understand how the base affects the rate of growth or decay. SE/TE: , TE: , 481 Guide; Activity Labs:

25 A2.5.5 Relate exponential and logarithmic functions to real phenomena, including half-life and doubling time. Web Code: ate-0808, ata-0808 SE/TE: , , TE: 469, 472, , 481 Worksheets (English and Spanish): 8-7; Activity Labs: 8-8; Checkpoint Quiz (English and Spanish): 8-7 Quiz Show CD-ROM; TI 83/84 Plus Activities: 8-7; Web Code: ate- 0807, ata-0807, ate-0808, ata-0808 A2.6 Quadratic Functions A2.6.1 Write the symbolic form and sketch the graph of a quadratic function given appropriate information (e.g., vertex, intercepts, etc.). SE/TE: , 607, 610 TE: , 555, ,

26 Worksheets (English and Spanish): 10-1, 10-2; Technology Activities: 10-2 Web Code: ate-1001, ata-1001, ate-1002, ata A2.6.2 Identify the elements of a parabola (vertex, axis of symmetry, direction of opening) given its symbolic form or its graph, and relate these elements to the coefficient(s) of the symbolic form of the function. SE/TE: , 607, 610 TE: , 555, , 562 Worksheets (English and Spanish): 10-1, 10-2; Technology Activities:

27 Web Code: ate-1001, ata-1001, ate-1002, ata A2.6.3 Convert quadratic functions from standard to vertex form by completing the square. SE/TE: , 608, 610 TE: 581, 583 Guide; Activity Labs: 10-5 Web Code: ate-0775, ate-1005, ata-1005 A2.6.4 Relate the number of real solutions of a quadratic equation to the graph of the associated quadratic function. SE/TE: , 608, 610 TE: 566,

28 Guide; Technology Activities: 10-3; Checkpoint Quiz (English and Spanish): 10-3 Web Code: ate-1003, ata-1003 A2.6.5 Express quadratic functions in vertex form to identify their maxima or minima, and in factored form to identify their zeros. SE/TE: , 608, 610 TE: 573, 575 Worksheets (English and Spanish): 10-4 Quiz Show CD-ROM; TI 83/84 Plus Activities: 10-4; Web Code: ate- 1004, ata

29 A2.7 Power Functions (including roots, cubics, quartics, etc.) A2.7.1 Write the symbolic form and sketch the SE/TE: 605, , , graph of power functions. TE: 639, 642 Worksheets (English and Spanish): 10-8; Activity Labs: 10-8; Technology Activities: 10-8; Checkpoint Quiz (English and Spanish): 11-4 A2.7.2 Express direct and inverse relationships as functions (e.g., y = kx n and y = kx -n, n > 0) and recognize their characteristics (e.g., in y = x 3, note that doubling x results in multiplying y by a factor of 8). Web Code: atg-9041, ate-1008, ata-1008, ate- 1104, ata-1104 A2.7.3 Analyze the graphs of power functions, noting reflectional or rotational symmetry. SE/TE: 605, , , TE: 639,

30 Worksheets (English and Spanish): 10-8; Activity Labs: 10-8; Technology Activities: 10-8; Checkpoint Quiz (English and Spanish): 11-4 Web Code: atg-9041, ate-1008, ata-1008, ate- 1104, ata-1104 A2.8 Polynomial Functions A2.8.1 Write the symbolic form and sketch the graph of simple polynomial functions. SE/TE: , 541, 544 TE: , 498 Worksheets (English and Spanish): 9-1; Activity Labs: 9-1; Technology Activities:

31 Web Code: ate-0901, ata-0901 A2.8.2 Understand the effects of degree, leading SE/TE: , 541, 544 coefficient, and number of real zeros on the graphs of polynomial functions of degree greater than 2. TE: , 498 Worksheets (English and Spanish): 9-1; Activity Labs: 9-1; Technology Activities: 9-1 Web Code: ate-0901, ata-0901 A2.8.3 Determine the maximum possible number of zeros of a polynomial function, and understand the relationship between the x -intercepts of the graph and the factored form of the function. SE/TE: , 608, 610 TE: 566,

32 Guide; Technology Activities: 10-3; Checkpoint Quiz (English and Spanish): 10-3 Web Code: ate-1003, ata-1003 STANDARD A3: MATHEMATICAL MODELING Students construct or select a function to model a real-world situation in order to solve applied problems. They draw on their knowledge of families of functions to do so. A3.1 Models of Real-world Situations Using Families of Functions. A3.1.1 Identify the family of function best suited SE/TE: , , , , for modeling a given real-world situation (e.g., , quadratic functions for motion of an object under the force of gravity; exponential functions for compound interest; trigonometric functions for periodic phenomena. In the example above, recognize that the appropriate general function is exponential (P = P 0 a t ) TE: 477, 478, 481, 552, 555, , 562, ,

33 Worksheets (English and Spanish): 10-1, 10-2, 10-8; Activity Labs: 8-8, 10-8; Technology Activities: 10-2, 10-8 Web Code: ate-0808, ata-0808, ate-1001, ata- 1001, ate-1002, ata-1002, atg-9041, ate- 1008, ata-1008 A3.1.2 Adapt the general symbolic form of a function to one that fits the specifications of a given situation by using the information to replace arbitrary constants with numbers. In the example above, substitute the given values P 0 = 300 and a = 1.02 to obtain P = 300(1.02) t. SE/TE: , , , TE: , 481, 552, 555, , 562 Worksheets (English and Spanish): 10-1, 10-2; Activity Labs: 8-8; Technology Activities:

34 Web Code: ate-0808, ata-0808, ate-1001, ata- 1001, ate-1002, ata-1002 A3.1.3 Using the adapted general symbolic form, draw reasonable conclusions about the situation being modeled. In the example above, the exact solution is , but for this problem an appropriate approximation is 365. SE/TE: , TE: , 481 Guide; Activity Labs: 8-8 Web Code: ate-0808, ata-0808 *A3.1.4 Use methods of linear programming to represent and solve simple real-life problems. 34

35 STRAND 4: STATISTICS AND PROBABILITY STANDARD S2: BIVARIATE DATA EXAMINING RELATIONSHIPS Students plot and interpret bivariate data by constructing scatterplots, recognizing linear and nonlinear patterns, and interpreting correlation coefficients; they fit and interpret regression models, using technology as appropriate. S2.1 Scatterplots and Correlation S2.1.1 Construct a scatterplot for a bivariate data SE/TE: 33-37, 49-50, , set with appropriate labels and scales. TE: 34, 36, 351, 355 Worksheets (English and Spanish): 1-5, 6-7; Activity Labs: 6-7; Checkpoint Quiz (English and Spanish): 1-5, 6-7 Web Code: ate-0105, ata-0105, ate-2122, ate- 0607, ata-0607 S2.1.2 Given a scatterplot, identify patterns, clusters, and outliers; recognize no correlation, weak correlation, and strong correlation. SE/TE: 34-37, TE: 34, 36 35

36 Worksheets (English and Spanish): 1-5; Checkpoint Quiz (English and Spanish): 1-5 S2.1.3 Estimate and interpret Pearson s correlation coefficient for a scatterplot of a bivariate data set; recognize that correlation measures the strength of linear association. Web Code: ate-0105, ata-0105 SE/TE: , TE: 351, 355 Worksheets (English and Spanish): 6-7; Activity Labs: 6-7; Checkpoint Quiz (English and Spanish):

37 S2.1.4 Differentiate between correlation and causation; know that a strong correlation does not imply a cause-and-effect relationship; recognize the role of lurking variables in correlation. Web Code: ate-2122, ate-0607, ata-0607 SE/TE: 34-37, TE: 34, 36 Worksheets (English and Spanish): 1-5; Checkpoint Quiz (English and Spanish): 1-5 Web Code: ate-0105, ata-0105 S2.2 Linear Regression S2.2.1 For bivariate data which appear to form a linear pattern, find the least squares regression line by estimating visually and by calculating the equation of the regression line; interpret the slope of the equation for a regression line. SE/TE: , TE: 351,

38 Worksheets (English and Spanish): 6-7; Activity Labs: 6-7; Checkpoint Quiz (English and Spanish): 6-7 Web Code: ate-2122, ate-0607, ata-0607 S2.2.2 Use the equation of the least squares regression line to make appropriate predictions. SE/TE: , TE: 351, 355 Worksheets (English and Spanish): 6-7; Activity Labs: 6-7; Checkpoint Quiz (English and Spanish): 6-7 Web Code: ate-2122, ate-0607, ata

### Course Name: Course Code: ALEKS Course: Instructor: Course Dates: Course Content: Textbook: Dates Objective Prerequisite Topics

Course Name: MATH 1204 Fall 2015 Course Code: N/A ALEKS Course: College Algebra Instructor: Master Templates Course Dates: Begin: 08/22/2015 End: 12/19/2015 Course Content: 271 Topics (261 goal + 10 prerequisite)

### Prentice Hall Mathematics: Algebra 2 2007 Correlated to: Utah Core Curriculum for Math, Intermediate Algebra (Secondary)

Core Standards of the Course Standard 1 Students will acquire number sense and perform operations with real and complex numbers. Objective 1.1 Compute fluently and make reasonable estimates. 1. Simplify

### ALGEBRA I A PLUS COURSE OUTLINE

ALGEBRA I A PLUS COURSE OUTLINE OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines of Best

### CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA

We Can Early Learning Curriculum PreK Grades 8 12 INSIDE ALGEBRA, GRADES 8 12 CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA April 2016 www.voyagersopris.com Mathematical

### Course Title: Honors Algebra Course Level: Honors Textbook: Algebra 1 Publisher: McDougall Littell

Course Title: Honors Algebra Course Level: Honors Textbook: Algebra Publisher: McDougall Littell The following is a list of key topics studied in Honors Algebra. Identify and use the properties of operations

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

### Algebra 1 Course Information

Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through

### College Algebra. Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 978-0-07-286738-1

College Algebra Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 978-0-07-286738-1 Course Description This course provides

### Algebra 2 Year-at-a-Glance Leander ISD 2007-08. 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks

Algebra 2 Year-at-a-Glance Leander ISD 2007-08 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks Essential Unit of Study 6 weeks 3 weeks 3 weeks 6 weeks 3 weeks 3 weeks

### Algebra I Pacing Guide Days Units Notes 9 Chapter 1 ( , )

Algebra I Pacing Guide Days Units Notes 9 Chapter 1 (1.1-1.4, 1.6-1.7) Expressions, Equations and Functions Differentiate between and write expressions, equations and inequalities as well as applying order

### PowerTeaching i3: Algebra I Mathematics

PowerTeaching i3: Algebra I Mathematics Alignment to the Common Core State Standards for Mathematics Standards for Mathematical Practice and Standards for Mathematical Content for Algebra I Key Ideas and

### Mercer County Public Schools PRIORITIZED CURRICULUM. Mathematics Content Maps Algebra II Revised August 07

Mercer County Public Schools PRIORITIZED CURRICULUM Mathematics Content Maps Algebra II Revised August 07 Suggested Sequence: C O N C E P T M A P ALGEBRA I I 1. Solving Equations/Inequalities 2. Functions

### High School Algebra 1 Common Core Standards & Learning Targets

High School Algebra 1 Common Core Standards & Learning Targets Unit 1: Relationships between Quantities and Reasoning with Equations CCS Standards: Quantities N-Q.1. Use units as a way to understand problems

### Official Math 112 Catalog Description

Official Math 112 Catalog Description Topics include properties of functions and graphs, linear and quadratic equations, polynomial functions, exponential and logarithmic functions with applications. A

### ALGEBRA I / ALGEBRA I SUPPORT

Suggested Sequence: CONCEPT MAP ALGEBRA I / ALGEBRA I SUPPORT August 2011 1. Foundations for Algebra 2. Solving Equations 3. Solving Inequalities 4. An Introduction to Functions 5. Linear Functions 6.

### COGNITIVE TUTOR ALGEBRA

COGNITIVE TUTOR ALGEBRA Numbers and Operations Standard: Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers,

### http://www.aleks.com Access Code: RVAE4-EGKVN Financial Aid Code: 6A9DB-DEE3B-74F51-57304

MATH 1340.04 College Algebra Location: MAGC 2.202 Meeting day(s): TR 7:45a 9:00a, Instructor Information Name: Virgil Pierce Email: piercevu@utpa.edu Phone: 665.3535 Teaching Assistant Name: Indalecio

### ALGEBRA 1/ALGEBRA 1 HONORS

ALGEBRA 1/ALGEBRA 1 HONORS CREDIT HOURS: 1.0 COURSE LENGTH: 2 Semesters COURSE DESCRIPTION The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### Norwalk La Mirada Unified School District. Algebra Scope and Sequence of Instruction

1 Algebra Scope and Sequence of Instruction Instructional Suggestions: Instructional strategies at this level should include connections back to prior learning activities from K-7. Students must demonstrate

### Algebra 1-2. A. Identify and translate variables and expressions.

St. Mary's College High School Algebra 1-2 The Language of Algebra What is a variable? A. Identify and translate variables and expressions. The following apply to all the skills How is a variable used

### South Carolina College- and Career-Ready (SCCCR) Algebra 1

South Carolina College- and Career-Ready (SCCCR) Algebra 1 South Carolina College- and Career-Ready Mathematical Process Standards The South Carolina College- and Career-Ready (SCCCR) Mathematical Process

### Portable Assisted Study Sequence ALGEBRA IIA

SCOPE This course is divided into two semesters of study (A & B) comprised of five units each. Each unit teaches concepts and strategies recommended for intermediate algebra students. The first half of

### Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

### HIBBING COMMUNITY COLLEGE COURSE OUTLINE

HIBBING COMMUNITY COLLEGE COURSE OUTLINE COURSE NUMBER & TITLE: - Beginning Algebra CREDITS: 4 (Lec 4 / Lab 0) PREREQUISITES: MATH 0920: Fundamental Mathematics with a grade of C or better, Placement Exam,

### This unit will lay the groundwork for later units where the students will extend this knowledge to quadratic and exponential functions.

Algebra I Overview View unit yearlong overview here Many of the concepts presented in Algebra I are progressions of concepts that were introduced in grades 6 through 8. The content presented in this course

### CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

### Algebra Nation MAFS Videos and Standards Alignment Algebra 2

Section 1, Video 1: Linear Equations in One Variable - Part 1 Section 1, Video 2: Linear Equations in One Variable - Part 2 Section 1, Video 3: Linear Equations and Inequalities in Two Variables Section

### Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7

About the Author v Preface to the Instructor xiii WileyPLUS xviii Acknowledgments xix Preface to the Student xxi 1 The Real Numbers 1 1.1 The Real Line 2 Construction of the Real Line 2 Is Every Real Number

### Infinite Algebra 1 supports the teaching of the Common Core State Standards listed below.

Infinite Algebra 1 Kuta Software LLC Common Core Alignment Software version 2.05 Last revised July 2015 Infinite Algebra 1 supports the teaching of the Common Core State Standards listed below. High School

### Algebra 1 Chapter 3 Vocabulary. equivalent - Equations with the same solutions as the original equation are called.

Chapter 3 Vocabulary equivalent - Equations with the same solutions as the original equation are called. formula - An algebraic equation that relates two or more real-life quantities. unit rate - A rate

### 4. Factor polynomials over complex numbers, describe geometrically, and apply to real-world situations. 5. Determine and apply relationships among syn

I The Real and Complex Number Systems 1. Identify subsets of complex numbers, and compare their structural characteristics. 2. Compare and contrast the properties of real numbers with the properties of

### Creating, Solving, and Graphing Systems of Linear Equations and Linear Inequalities

Algebra 1, Quarter 2, Unit 2.1 Creating, Solving, and Graphing Systems of Linear Equations and Linear Inequalities Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned

### Vocabulary Words and Definitions for Algebra

Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms

### MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

### Identify examples of field properties: commutative, associative, identity, inverse, and distributive.

Topic: Expressions and Operations ALGEBRA II - STANDARD AII.1 The student will identify field properties, axioms of equality and inequality, and properties of order that are valid for the set of real numbers

### Prentice Hall Algebra 2 2011 Correlated to: Colorado P-12 Academic Standards for High School Mathematics, Adopted 12/2009

Content Area: Mathematics Grade Level Expectations: High School Standard: Number Sense, Properties, and Operations Understand the structure and properties of our number system. At their most basic level

### Masconomet Regional High School Curriculum Guide

Masconomet Regional High School Curriculum Guide COURSE TITLE: Algebra 2 COURSE NUMBER: 1322 DEPARTMENT: Mathematics GRADE LEVEL(S) & PHASE: 10 12, CP LENGTH OF COURSE: Full Year Course Description: This

### Larson, R. and Boswell, L. (2016). Big Ideas Math, Algebra 2. Erie, PA: Big Ideas Learning, LLC. ISBN

ALG B Algebra II, Second Semester #PR-0, BK-04 (v.4.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for ALG B. WHAT TO

### Algebra II End of Course Exam Answer Key Segment I. Scientific Calculator Only

Algebra II End of Course Exam Answer Key Segment I Scientific Calculator Only Question 1 Reporting Category: Algebraic Concepts & Procedures Common Core Standard: A-APR.3: Identify zeros of polynomials

### ALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340

ALGEBRA & TRIGONOMETRY FOR CALCULUS Course Description: MATH 1340 A combined algebra and trigonometry course for science and engineering students planning to enroll in Calculus I, MATH 1950. Topics include:

### BookTOC.txt. 1. Functions, Graphs, and Models. Algebra Toolbox. Sets. The Real Numbers. Inequalities and Intervals on the Real Number Line

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, 3rd Edition Ronald J. Harshbarger, University of South Carolina - Beaufort Lisa S. Yocco, Georgia Southern University

### Polynomial Operations and Factoring

Algebra 1, Quarter 4, Unit 4.1 Polynomial Operations and Factoring Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned Identify terms, coefficients, and degree of polynomials.

### Advanced Algebra 2. I. Equations and Inequalities

Advanced Algebra 2 I. Equations and Inequalities A. Real Numbers and Number Operations 6.A.5, 6.B.5, 7.C.5 1) Graph numbers on a number line 2) Order real numbers 3) Identify properties of real numbers

### Florida Math for College Readiness

Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness

### Algebra. Indiana Standards 1 ST 6 WEEKS

Chapter 1 Lessons Indiana Standards - 1-1 Variables and Expressions - 1-2 Order of Operations and Evaluating Expressions - 1-3 Real Numbers and the Number Line - 1-4 Properties of Real Numbers - 1-5 Adding

### X On record with the USOE.

Textbook Alignment to the Utah Core Algebra 2 Name of Company and Individual Conducting Alignment: Chris McHugh, McHugh Inc. A Credential Sheet has been completed on the above company/evaluator and is

### Prentice Hall Mathematics Algebra 1 2004 Correlated to: Alabama Course of Study: Mathematics (Grades 9-12)

Alabama Course of Study: Mathematics (Grades 9-12) NUMBER AND OPERATIONS 1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots,

### Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks

Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson

### Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression

### Pearson Algebra 1 Common Core 2015

A Correlation of Pearson Algebra 1 Common Core 2015 To the Common Core State Standards for Mathematics Traditional Pathways, Algebra 1 High School Copyright 2015 Pearson Education, Inc. or its affiliate(s).

### Indiana State Core Curriculum Standards updated 2009 Algebra I

Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and

### Topic: Solving Linear Equations

Unit 1 Topic: Solving Linear Equations N-Q.1. Reason quantitatively and use units to solve problems. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and

### ALG 1A Algebra I, First Semester PR-10254, BK (v.3.0) To the Student:

ALG 1A Algebra I, First Semester PR-10254, BK-10255 (v.3.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for ALG 1A. WHAT

### High School Mathematics Algebra

High School Mathematics Algebra This course is designed to give students the foundation of understanding algebra at a moderate pace. Essential material will be covered to prepare the students for Geometry.

### NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS

NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS TEST DESIGN AND FRAMEWORK September 2014 Authorized for Distribution by the New York State Education Department This test design and framework document

### Algebra Course KUD. Green Highlight - Incorporate notation in class, with understanding that not tested on

Algebra Course KUD Yellow Highlight Need to address in Seminar Green Highlight - Incorporate notation in class, with understanding that not tested on Blue Highlight Be sure to teach in class Postive and

### Algebra 1 Course Objectives

Course Objectives The Duke TIP course corresponds to a high school course and is designed for gifted students in grades seven through nine who want to build their algebra skills before taking algebra in

### Algebra 1 Course Title

Algebra 1 Course Title Course- wide 1. What patterns and methods are being used? Course- wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept

### Algebra and Geometry Review (61 topics, no due date)

Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties

### SCHOOL DISTRICT OF THE CHATHAMS CURRICULUM PROFILE

CONTENT AREA(S): Mathematics COURSE/GRADE LEVEL(S): Honors Algebra 2 (10/11) I. Course Overview In Honors Algebra 2, the concept of mathematical function is developed and refined through the study of real

### Comal Independent School District Pre-AP Pre-Calculus Scope and Sequence

Comal Independent School District Pre- Pre-Calculus Scope and Sequence Third Quarter Assurances. The student will plot points in the Cartesian plane, use the distance formula to find the distance between

### South Carolina College- and Career-Ready (SCCCR) Pre-Calculus

South Carolina College- and Career-Ready (SCCCR) Pre-Calculus Key Concepts Arithmetic with Polynomials and Rational Expressions PC.AAPR.2 PC.AAPR.3 PC.AAPR.4 PC.AAPR.5 PC.AAPR.6 PC.AAPR.7 Standards Know

### Montana Common Core Standard

Algebra I Grade Level: 9, 10, 11, 12 Length: 1 Year Period(s) Per Day: 1 Credit: 1 Credit Requirement Fulfilled: A must pass course Course Description This course covers the real number system, solving

### DRAFT. Algebra 1 EOC Item Specifications

DRAFT Algebra 1 EOC Item Specifications The draft Florida Standards Assessment (FSA) Test Item Specifications (Specifications) are based upon the Florida Standards and the Florida Course Descriptions as

### What are the place values to the left of the decimal point and their associated powers of ten?

The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### Prentice Hall Mathematics, Algebra 1 2009

Prentice Hall Mathematics, Algebra 1 2009 Grades 9-12 C O R R E L A T E D T O Grades 9-12 Prentice Hall Mathematics, Algebra 1 Program Organization Prentice Hall Mathematics supports student comprehension

### York Suburban Middle School Course Overview. Algebra 1

York Suburban Middle School Course Overview I. Course Description Algebra 1 1.0 Credit Length: School Year; Format: Meets Daily Prerequisite: Pre-Algebra Algebra 1 The Larson Algebra 1brings math to life

### Developmental Math Course Outcomes and Objectives

Developmental Math Course Outcomes and Objectives I. Math 0910 Basic Arithmetic/Pre-Algebra Upon satisfactory completion of this course, the student should be able to perform the following outcomes and

### Administrative - Master Syllabus COVER SHEET

Administrative - Master Syllabus COVER SHEET Purpose: It is the intention of this to provide a general description of the course, outline the required elements of the course and to lay the foundation for

### Grade 8 Math. Content Skills Learning Targets Assessment Resources & Technology

St. Michael-Albertville Middle School East Teacher: Dawn Tveitbakk Grade 8 Math September 2014 UEQ: (new) CEQ: WHAT IS THE LANGUAGE OF ALGEBRA? HOW ARE FUNCTIONS USED? HOW CAN ALGEBRA BE USED TO SOLVE

### pp. 4 8: Examples 1 6 Quick Check 1 6 Exercises 1, 2, 20, 42, 43, 64

Semester 1 Text: Chapter 1: Tools of Algebra Lesson 1-1: Properties of Real Numbers Day 1 Part 1: Graphing and Ordering Real Numbers Part 1: Graphing and Ordering Real Numbers Lesson 1-2: Algebraic Expressions

### Algebra I Support Lab CURRICULUM GUIDE AND INSTRUCTIONAL ALIGNMENT

TRENTON PUBLIC SCHOOLS Department of Curriculum and Instruction 108 NORTH CLINTON AVENUE TRENTON, NEW JERSEY 08609 Secondary Schools Algebra I Support Lab CURRICULUM GUIDE AND INSTRUCTIONAL ALIGNMENT The

### MyMathLab ecourse for Developmental Mathematics

MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and

### West Windsor-Plainsboro Regional School District Algebra I Part 2 Grades 9-12

West Windsor-Plainsboro Regional School District Algebra I Part 2 Grades 9-12 Unit 1: Polynomials and Factoring Course & Grade Level: Algebra I Part 2, 9 12 This unit involves knowledge and skills relative

### North Carolina Math 1

Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4.

### Overview of Math Standards

Grade 8A Welcome to math curriculum design maps for Manhattan- Ogden USD 383, striving to produce learners who are: Effective Communicators who clearly express ideas and effectively communicate with diverse

### ModuMath Algebra Lessons

ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations

### Content Emphases by Cluster--Kindergarten *

Content Emphases by Cluster--Kindergarten * Counting and Cardinality Know number names and the count sequence. Count to tell the number of objects. Compare numbers. Operations and Algebraic Thinking Understand

### Math 155 (DoVan) Exam 1 Review (Sections 3.1, 3.2, 5.1, 5.2, Chapters 2 & 4)

Chapter 2: Functions and Linear Functions 1. Know the definition of a relation. Math 155 (DoVan) Exam 1 Review (Sections 3.1, 3.2, 5.1, 5.2, Chapters 2 & 4) 2. Know the definition of a function. 3. What

### Wentzville School District Algebra 1: Unit 9 Stage 1 Desired Results

Wentzville School District Algebra 1: Unit 9 Stage 1 Desired Results Unit 9 - Quadratic Functions Unit Title: Quadratics Functions Course: Algebra I Brief Summary of Unit: At the end of this unit, students

### MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab

MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring non-course based remediation in developmental mathematics. This structure will

### Common Curriculum Map. Discipline: Math Course: College Algebra

Common Curriculum Map Discipline: Math Course: College Algebra August/September: 6A.5 Perform additions, subtraction and multiplication of complex numbers and graph the results in the complex plane 8a.4a

### Course: Math 7. engage in problem solving, communicating, reasoning, connecting, and representing

Course: Math 7 Decimals and Integers 1-1 Estimation Strategies. Estimate by rounding, front-end estimation, and compatible numbers. Prentice Hall Textbook - Course 2 7.M.0 ~ Measurement Strand ~ Students

### Algebra II. Larson, Boswell, Kanold, & Stiff (2001) Algebra II, Houghton Mifflin Company: Evanston, Illinois. TI 83 or 84 Graphing Calculator

Algebra II Text: Supplemental Materials: Larson, Boswell, Kanold, & Stiff (2001) Algebra II, Houghton Mifflin Company: Evanston, Illinois. TI 83 or 84 Graphing Calculator Course Description: The purpose

### Tools of Algebra. Solving Equations. Solving Inequalities. Dimensional Analysis and Probability. Scope and Sequence. Algebra I

Scope and Sequence Algebra I Tools of Algebra CLE 3102.1.1, CFU 3102.1.10, CFU 3102.1.9, CFU 3102.2.1, CFU 3102.2.2, CFU 3102.2.7, CFU 3102.2.8, SPI 3102.1.3, SPI 3102.2.3, SPI 3102.4.1, 1-2 Using Variables,

### Utah Core Curriculum for Mathematics

Core Curriculum for Mathematics correlated to correlated to 2005 Chapter 1 (pp. 2 57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5 9) Expressions and Variables 2.2.1 Evaluate algebraic expressions

### Prentice Hall MyMathLab Algebra 1, 2011

Prentice Hall MyMathLab Algebra 1, 2011 C O R R E L A T E D T O Tennessee Mathematics Standards, 2009-2010 Implementation, Algebra I Tennessee Mathematics Standards 2009-2010 Implementation Algebra I 3102

### Able Enrichment Centre - Prep Level Curriculum

Able Enrichment Centre - Prep Level Curriculum Unit 1: Number Systems Number Line Converting expanded form into standard form or vice versa. Define: Prime Number, Natural Number, Integer, Rational Number,

### EQ: How can regression models be used to display and analyze the data in our everyday lives?

School of the Future Math Department Comprehensive Curriculum Plan: ALGEBRA II (Holt Algebra 2 textbook as reference guide) 2016-2017 Instructor: Diane Thole EU for the year: How do mathematical models

### Clear & Understandable Math

Chapter 1: Basic Algebra (Review) This chapter reviews many of the fundamental algebra skills that students should have mastered in Algebra 1. Students are encouraged to take the time to go over these

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### Domain Essential Question Common Core Standards Resources

Middle School Math 2016-2017 Domain Essential Question Common Core Standards First Ratios and Proportional Relationships How can you use mathematics to describe change and model real world solutions? How

### MATH 60 NOTEBOOK CERTIFICATIONS

MATH 60 NOTEBOOK CERTIFICATIONS Chapter #1: Integers and Real Numbers 1.1a 1.1b 1.2 1.3 1.4 1.8 Chapter #2: Algebraic Expressions, Linear Equations, and Applications 2.1a 2.1b 2.1c 2.2 2.3a 2.3b 2.4 2.5

### Correlation to the Common Core State Standards for Mathematics Algebra 1. Houghton Mifflin Harcourt Algerbra

Correlation to the Common Core State Standards for Mathematics Algebra 1 Houghton Mifflin Harcourt Algerbra 1 2015 Houghton Mifflin Harcourt Algebra I 2015 correlated to the Common Core State Standards

### Chapter 1 Quadratic Equations in One Unknown (I)

Tin Ka Ping Secondary School 015-016 F. Mathematics Compulsory Part Teaching Syllabus Chapter 1 Quadratic in One Unknown (I) 1 1.1 Real Number System A Integers B nal Numbers C Irrational Numbers D Real