William H. Maxwell High School
Integrated Algebra Lesson Calendar for 2012 – 2013
Term 1 (5 Weeks 4days)
Unit 1- Number Properties, Operations, Data and Statistics, Probability, Number Theory
September – October
Lesson 1
Standards:
A.A.1, A.A.2
Common Core Standards:
A.SSE.1a,b; N.RN.3
Aim: How do we use variables to translate verbal phrases into algebraic expressions, equations or
inequalities?
Lesson 2
Standards:
A.N.1
Common Core Standards:
A.SSE.1a,b; N.RN.3
Aim: How do we add and subtract signed numbers?
Lesson 3
Standards:
A.N.1,6
Common Core Standards:
A.SSE.1a,b; N.RN.3
Aim: How do we multiply and divide signed numbers?
Lesson 4,5 ( 2days)
Standards:
A.A.1, A.A.2
Common Core Standards:
A.SSE.1a,b
N.RN.3
Aim: How do we evaluate algebraic expressions?
Lesson 6,7
Standards:
A.N.1 – A.N.6
Common Core Standards:
N.RN.3
Aim: What number sets make up the set of real numbers?
What are the properties of Real numbers?
PH Integrated Algebra: pp# 4-8
PH Integrated Algebra: pp# 56 -68
PH Integrated Algebra: pp# 69 -76
PH Integrated Algebra: pp# 9-17
(including order of operations)
PH Integrated Algebra: pp# 17-21
Lesson 8
Standards:
A.S.1-3
Common Core Standards:
S.ID.3 – 9
S. IC. 1, S. IC. 3,
Aim: How do we classify data and identify bias?
Lesson 9
Standards:
A.S.4, A.S.6
Common Core Standards:
S.ID.3 - 9
Aim: How do we find the mean, median, mode, and range in a set of data?
Lesson 10
Standards:
A.S.4, A.S.6
Common Core Standards:
S.ID.3 - 9
Aim: How do we find the mean, median, mode, and range in a set of data?
Lesson 11
Standards:
A.S.5 - 11
Common Core Standards:
S.ID.3 - 9
Aim: What is a box and-whisker plot?
Lesson 12
Standards:
A.S.9
Common Core Standards:
S.ID.3 – 9, S. CP.4
Aim: How do we construct frequency table?
Lesson 13
Standards:
A.S.9
Common Core Standards:
S.ID.3 – 9, S. CP.4
Aim: How do we construct histogram and cumulative frequency histograms?
Lesson 14
Standards:
A.S.9
Common Core Standards:
S.ID.3 – 9, S. CP.4
Aim: How do we use cumulative frequency histograms to determine info on percentile scores, quartile
PH Integrated Algebra: pp# NY 726 - 731
PH Integrated Algebra: pp# 42 - 45
PH Integrated Algebra: pp# 42 – 45
( ref. stem and leaf plot)
PH Integrated Algebra: pp# NY 732 – 737, 774
PH Integrated Algebra: pp# 304 – 305, regents questions
PH Integrated Algebra: pp# 304 – 305, regents questions
and median?
PH Integrated Algebra: pp# NY 733, regents’ questions.
(include any percentile)
scores
Lesson 15
Standards:
A.S.7, 12
Common Core Standards:
S.ID.3 - 9
Aim: How do we create a scatter plot of bivariate data?
Lesson 16
Standards:
A.S.19
Common Core Standards:
S.CP.1
Aim: How do we determine a number of elements in the sample space?
Lesson 17
Standards:
A.S.20,21
Common Core Standards:
S.CP.1
Aim: How do we find the (theoretical) probability of an event?
Lesson 18
Standards:
A.S.20,21
Common Core Standards:
S.CP.7
Aim: How do we find the P(A or B) and P(A and B)?
Lesson 19
Standards:
A.S.23
Common Core Standards:
S.CP.3,5,6
Aim: How do we find probability of independent and dependent events? (conditional probability)
Lesson 20
Standards:
A.A.29,30
Common Core Standards:
N.RN.3
Aim: How do we list sets using roster, set builder and interval notation?
Lesson 21
Standards:
A.A.29,30
Common Core Standards:
N.RN.3
Aim: How do we find the union and intersection of two or more sets?
PH Integrated Algebra: pp# 33 - 39
PH Integrated Algebra: pp# 92
( number cube, spinner, coins, cards; include tree diagrams and counting principle)
PH Integrated Algebra: pp# 93 - 97
(include single and compound events)
PH Integrated Algebra: pp# 107
(mutually exclusive and non mutually exclusive events)
PH Integrated Algebra: pp# 102-106
(with or without replacement)
PH Integrated Algebra: NY 738 - 742
PH Integrated Algebra: NY 743 - 747
(Subsets, complements, Venn diagram)
Unit 2- Solving Equations and Inequalities
October –November (5 Weeks 4days)
Lesson 22
Standards:
A.A.5, A.A.6
Common Core Standards:
A.CED.1
A.REI 1,3
Aim: How do we solve a two-step equation and use deductive reasoning to justify the steps?
Lesson 23
Standards:
A.N.1, A.A.5, A.A.22
Common Core Standards:
A.CED.1
A.REI 1,3
Aim: How do we solve equations containing like terms?
Lesson 24
Standards:
A.N.1, A.A.5,A.A.6, A.A.22
Common Core Standards:
A.CED.1
A.REI 1,3
Aim: How do we solve equations containing parentheses?
Lesson 25
Standards:
A.N.1, A.A.5, A.A.6, A.A.22
Common Core Standards:
A.CED.1
A.REI 1,3
Aim: How do we solve equations containing variables on both sides?
Lesson 26
Standards:
A.N.1, A.A.5, A.A.6, A.A.22
Common Core Standards:
A.CED.1, A.REI 1,3
Lesson 27
Standards:
A.N.1, A.A.5, A.A.6, A.A.22, A.G.2
Common Core Standards:
A.CED.1,4; A.REI 1,3
Aim: How do we solve equations containing variables on both sides?
PH Integrated Algebra: pp119 - 124
PH Integrated Algebra: pp126 - 132
(combining like terms)
(include verbal problems)
PH Integrated Algebra: pp126 - 132
(include verbal problems)
PH Integrated Algebra: pp134 - 139
(include verbal problems)
PH Integrated Algebra: pp134 - 139
(include verbal problems)
Aim: How do we transform formulas?
PH Integrated Algebra: pp140 - 141
(include verbal problems)
Lesson 28
Standards:
A.A.5
Common Core Standards:
A.REI.1, A.CED.1
Lesson 29,30( 2days)
Standards:
A.A.5
Common Core Standards:
A.REI 1, A.CED.1
Lesson 31
Standards:
A.A.5
Common Core Standards:
A.REI 1, A.CED.1
Lesson 32
Standards:
A.A.26, A.M.1, 2
Common Core Standards:
A.REI 1,3; N.Q.1, N.Q.2,N.Q.3
Aim: How do we solve problems involving consecutive integers?
Lesson 33
Standards:
A.A.26, A.M.1, 2
Common Core Standards:
A.REI 1,3 ; N.Q.1, N.Q.2,N.Q.3
Lesson 34
Standards:
A.N.5
Common Core Standards:
A.CED 1,A.REI.1
Aim: How do we use proportions to solve verbal problems?
PH Integrated Algebra: pp162-165
(include even and odd consecutive integers)
Aim: How do we solve verbal problems involving objects moving in same and opposite direction?
PH Integrated Algebra: pp 158 -165
Aim: How do we solve verbal problems involving coins leading to linear equations?
PH Integrated Algebra: pp 158 -165
Aim: How do we solve problems involving ratio and unit rate?
PH Integrated Algebra: pp 142 - 148
PH Integrated Algebra: pp 142 - 148
Aim: How do we solve verbal problems involving percents?
PH Integrated Algebra: pp 16 6-167
(include verbal problems involving simple interest)
N.Q.1, N.Q.2,N.Q.3
Lesson 35
Standards:
A.M. 3
Common Core Standards:
A.CED 1,A.REI.1
Aim: How do we solve problems involving percent of change?
Lesson 36
Standards:
A.M. 3
Common Core Standards:
A.CED 1,A.REI.1
Aim: How do we solve problems involving relative error?
PH Integrated Algebra: pp 168 - 169
(include verbal problems)
PH Integrated Algebra: pp 169 - 173
(include verbal problems)
Lesson 37,38(2 days)
Standards:
A.A.4,5,6; A.A.21,24
Common Core Standards:
A.CED 1, A.REI.3
Lesson 39
Standards:
A.A.4,5,6; A.A.21,24
Common Core Standards:
A.CED 1, A.REI.3
Lesson 40
Standards:
A.A. 5,6; A.A.24
Common Core Standards:
A.CED 1, A.REI.3
Aim: How do we solve linear inequalities in one variable?
PH Integrated Algebra: pp 200 -225
(include writing inequalities given their graphs and graphing solutions)
Aim: How do we solve verbal problems leading to linear inequalities in one variable?
PH Integrated Algebra: pp 200 -225
( include AT LEAST and AT MOST )
Aim: How do we solve compound inequalities?
PH Integrated Algebra: pp 227 -232
Unit 3 – Functions and Graph Operations
December – January (3 Weeks 4days)
Lesson 41
Standards:
A.G.3
Common Core Standards:
A.CED.1, A.CED.2, F.IF.1,
F.IF.2, F.IF.5, F.BF.1a, b
Lesson 42
Standards:
A.A.5
Common Core Standards:
A.CED.1, A.CED.2, F.IF.1,
F.IF.2, F.IF.5, F.BF.1a, b
Lesson 43,44(2 days)
Standards:
A.A.32,33
Common Core Standards:
A.CED.2 - 4
A.REI.10, F.IF.4,6,7a, F.BF.3, F.LE.5
Lesson 45,46,47 (3 days)
Standards:
A.A.34,35,A.G.4
Common Core Standards:
A.CED.2 - 4
Aim: How do we determine if a relation is a function?
PH Integrated Algebra: pp 257 – 262
( include definitions of relation, function, domain, range, vertical line test)
Aim: How do we represent functions using mapping diagrams, tables, and function rules?
PH Integrated Algebra: pp 269 – 274
Aim: How do we find rates of change and the slope of a line?
PH Integrated Algebra: pp 308 - 315
(negative, positive, zero and undefined slope; finding slope from table, graph, by using formula and from
y = mx + b; include transforming equations into y = mx + b form)
Aim: How can we write the equation of a line?
PH Integrated Algebra: pp 336-341
( include slope – intercept, point – slope and 2 points)
A.REI.10, F.IF.4,6,7a, F.BF.3, F.LE.5
Lesson 48
Standards:
A.A.34,35,A.G.4
Common Core Standards:
A.CED.2 - 4
A.REI.10, F.IF.4,6,7a, F.BF.3, F.LE.5
Aim: What is a relationship between slopes of parallel and perpendicular lines?
PH Integrated Algebra: pp 343-344
( do not include writing equations)
Unit 4 – Systems of equation s and inequalities
January – February (4 Weeks 4 days)
Lesson 49
Standards:
A.G.4,A.G.5
Common Core Standards:
A.CED.2,A.CED.3,A.CED.4,
A.REI.10, F.IF.4,F.IF.6, F.IF.7a
Lesson 50,51 (2 days)
Standards:
A.G.4,A.G.5,A.A. 34- 37
Common Core Standards:
A.CED.2,A.CED.3,A.CED.4,
A.REI.10, F.IF.4,F.IF.6, F.IF.7a
Lesson 52,53 (2 days)
Standards:
A.G.4
Common Core Standards:
A.REI.11, F.IF.7b, F.BF.3
Lesson 54,55
Standards:
A.A.7, A.G.7,A.G.9,A.A.10
Common Core Standards:
A.CED.2,A.CED.3,A.CED.4, A.REI.6,
A.REI.10,A.REI.11
Lesson 56,57,58(3 days)
Standards:
A.A.10,
Common Core Standards:
A.CED.2,A.CED.3, A.CED.4, A.REI.5,6
Lesson 59
Standards:
A.,A.7, A.G.7,A.A.10
Aim: How do we find a solution of linear equation in 2 variables?
PH Integrated Algebra: p 263
Aim: How do we graph a linear equation in 2 variables using different methods?
PH Integrated Algebra: pp 317 - 323
(table, slope- intercept, point – slope, x and y intercept, graphing calculator)
Aim: How do we graph absolute value functions?
PH Integrated Algebra: pp 359 - 363
Aim: How do we solve system of 2 linear equations with rational coefficients by graphing?
PH Integrated Algebra: pp 374 - 381
(graphing calculator)
Aim: How do we solve system of 2 linear equations with rational coefficients algebraically?
PH Integrated Algebra: pp 382- 393
(substitution and elimination, including equalizing coefficients )
Aim: How do we solve verbal problems leading to systems of linear equations?
PH Integrated Algebra: pp 396 - 402
Common Core Standards:
A.CED.2,A.CED.3, A.CED.4, A.REI.5,6
Lesson 60
Standards:
A.A.40,A.G.7
Common Core Standards:
A.CED.2,A.CED.3,A.CED.4,
A.REI.10, F.IF.4,F.IF.6, F.IF.7a
Lesson 61
Standards:
A.A.6, A.A. 21, A.G.6
Common Core Standards:
A.CED.3,A.REI.10,A.REI.12
Lesson 62
Standards:
A.A.40, A.G.7
Common Core Standards:
A.CED.3,A.REI.10,A.REI.12
Aim: How do we find a solution of linear inequality in 2 variables?
PH Integrated Algebra: pp 411 - 418
Aim: How do we graph linear inequality in 2 variables?
PH Integrated Algebra: pp 404 -410
Aim: How do we solve system of 2 linear inequalities with rational coefficients by graphing?
PH Integrated Algebra: pp 411 – 418
William H. Maxwell High School
Integrated Algebra Lesson Calendar for 2012 – 2013
Term 2
Unit 5 – Exponents, Polynomials and Factoring
February – March (4 Weeks 4 days)
Lesson 63
Standards:
A.N.4, A.N.6, A.A 12
Common Core Standards:
A.APR.1
Lesson 64
Standards:
A.N.4, A.N.6, A.A 12
Common Core Standards:
A.APR.1
Lesson 65,66(2 days)
Standards:
A.N.4, A.N.6, A.A 12
Common Core Standards:
A.APR.1
Lesson 67
Standards:
A.N.4
Common Core Standards:
A.APR.1
Lesson 68
Standards:
A.N.4
Common Core Standards:
A.APR.1
Lesson 69
Standards:
A.A.13
Common Core Standards:
A.APR.1
Lesson 70
Standards:
A.A.14
Common Core Standards:
Aim: What are the properties of exponents?
PH Integrated Algebra: pp 441 - 458
Aim: How do we simplify expressions with zero and negative exponents?
PH Integrated Algebra: pp 430 – 435
Aim: How do we simplify expressions using properties of exponents?
PH Integrated Algebra: pp 430 – 434
(multiplication, division, power to power, fractions, same and different bases)
Aim: How do we write numbers using scientific notation?
PH Integrated Algebra: pp 436 – 440
Aim: How do we use scientific notation to compute products and quotients of numbers?
PH Integrated Algebra: pp 436 -440
Aim: How do we add and subtract polynomials?
PH Integrated Algebra: pp 494 - 499
(include classification, perimeter of polygons problems)
Aim: How do we divide polynomial by monomial?
PH Integrated Algebra: pp 682 - 686
A.APR.1
Lesson 71
Standards:
A.A.13, A.A.20
Common Core Standards:
A.APR.1
Lesson 72,73( 2days)
Standards:
A.A.13
Common Core Standards:
A.APR.1, A.SSE.1, A.SSE.2
Lesson 74
Standards:
A.A.20
Common Core Standards:
A.APR.1, A.SSE.1, A.SSE.2
Lesson 75
Standards:
A.A.20
Common Core Standards:
A.APR.1, A.SSE.1, A.SSE.2
Lesson 76
Standards:
A.A.20
Common Core Standards:
A.APR.1, A.SSE.1, A.SSE.2
Lesson 77
Standards:
A.A.20
Common Core Standards:
A.APR.1, A.SSE.1, A.SSE.2
Aim: How do we multiply monomial by polynomial?
PH Integrated Algebra: 500 - 503
Aim: How do we multiply polynomials?
PH Integrated Algebra: 505- 510, 513 - 517
(include binomial by binomial (FOIL) and binomial by trinomial, area problems , special cases)
Aim: How do we factor monomial from polynomial?
PH Integrated Algebra: pp 500 - 502
Aim: How do we factor trinomials with leading coefficient = 1?
PH Integrated Algebra: pp 519 - 523
Aim: How do we factor trinomials with leading coefficient greater than 1?
PH Integrated Algebra: pp 524 - 527
Aim: How do we factor special polynomials?
PH Integrated Algebra: pp 512 - 517
(perfect square trinomial, difference of perfect squares)
Unit 6 – Quadratic Equations and Functions
March – April (6Weeks 4 Days)
Lesson 78
Standards:
A.G.4, A.G.10
Common Core Standards:
A.REI.10, F.IF.4,F.IF.5, F.IF.7,
F.IF.8, F.IF.9,A.SSE.3, F.BF.3
Lesson 79
Aim: What is Quadratic function? How do we determine vertex and axis of symmetry of quadratic function?
PH Integrated Algebra: pp 550 -556
Aim: How do we graph quadratic functions?
Standards:
A.G.4, A.G.10
Common Core Standards:
A.REI.10, F.IF.4,F.IF.5, F.IF.7,
F.IF.8, F.IF.9,A.SSE.3, F.BF.3
Lesson 80
Standards:
A.G.4, A.G.10
Common Core Standards:
A.REI.10, F.IF.4,F.IF.5, F.IF.7,
F.IF.8, F.IF.9,A.SSE.3, F.BF.3
Lesson 81,82( 2days)
Standards:
A.A.8, A.A.27,A.A.28
Common Core Standards:
A.REI.10, F.IF.4,F.IF.5, F.IF.7,
F.IF.8, F.IF.9,A.SSE.3
Lesson 83
Standards:
A.A.8, A.A.27,A.A.28
Common Core Standards:
A.REI.10, F.IF.4,F.IF.5, F.IF.7,
F.IF.8, F.IF.9,A.SSE.3
Lesson 84,85( 2days)
Standards:
A.A.11
Common Core Standards:
A.REI.7, F.IF.8,F.IF.9, A.SSE.3,
A.CED.1,A.CED.2
Lesson 86,87( 2days)
Standards:
A.A.11, A.G.9
Common Core Standards:
A.REI.7,A.REI.10, F.IF.4,
F.IF.5, F.IF.7,F.IF.8, F.IF.9,A.SSE.3
Lesson 88,89( 2 days)
Standards:
N.6, G.4
Common Core Standards:
A.REI.11, F.IF.7E,F.LE.2, F.LE.3,
F.LE.5
Lesson 90-91( 4days)
Standards:
PH Integrated Algebra: pp 557 - 563
(include verbal problems)
Aim: How do solve quadratic equation by graphing?
PH Integrated Algebra: pp 565 - 570
(include verbal problems)
Aim: How do we solve quadratic equations by factoring?
PH Integrated Algebra: pp 572 - 576
(include equations not in standard form)
Aim: How do we solve verbal problems leading to quadratic equations?
PH Integrated Algebra: pp 572 - 576
Aim: How do we solve linear – quadratic system of equations algebraically?
PH Integrated Algebra: pp NY752 - 753
Aim: How do we solve linear – quadratic system of equations by graphing?
PH Integrated Algebra: pp NY 755 - 757
Aim: How do we identify and graph exponential function?
PH Integrated Algebra: pp 475 - 479
Aim: How do we use exponential functions to solve verbal problems?
A.A.9
Common Core Standards:
A.SSE.1, A.CED.1,F.IF.8b, F.BF.1b,
F.LE.1, F.LE.2,F.LE.3, F.LE.5
Lesson 92,93 ( 2days)
Standards:
A.N.2, A.N.3
Common Core Standards:
G.SRT.6
Lesson 94
Standards:
A.N.2, A.N.3
Common Core Standards:
G.SRT.6
Lesson 95
Standards:
A.N.2, A.N.3
Common Core Standards:
G.SRT.6
Lesson 96,97(2 days)
Standards:
A.A.45
Common Core Standards:
G.SRT.8
Lesson 98
Standards:
A.A.42,A.A.44
Common Core Standards:
G.SRT.6, G.SRT.7,G.SRT.8
Lesson 99,100(2 days)
Standards:
A.A.42,A.A.44
Common Core Standards:
G.SRT.6, G.SRT.7,G.SRT.8
Lesson 101,102(2 days)
Standards:
A.A.42,A.A.44
Common Core Standards:
G.SRT.6, G.SRT.7,G.SRT.8
PH Integrated Algebra: pp 475 - 482
(growth, decay, compound interest)
Aim: How do we simplify radicals?
PH Integrated Algebra: pp 616 - 621
(with and without variables)
Aim: How do we add and subtract radicals?
PH Integrated Algebra: pp 622 - 628
Aim: How do we multiply and divide radicals?
PH Integrated Algebra: pp 622 -628
(exclude binomial by binomial)
Aim: How do we use Pythagorean theorem to find measure of unknown side in a right triangle?
PH Integrated Algebra: pp 181 -186
(include verbal problems)
Aim: How do we identify basic trig ratios in a right triangle?
PH Integrated Algebra: pp 646 - 647
(use the calculator to find the trigonometric ratios of given angles)
Aim: How do we use trig ratios to solve right triangles?
PH Integrated Algebra: pp 646 - 649
Aim: How do we solve verbal problems involving angle of elevation and depression?
PH Integrated Algebra: pp 650 -654
Unit 7 – Rational Expression
May – June (4 Weeks and 1Days)
Lesson 103
Standards:
A.A.15, A.A.16
Common Core Standards:
A.SSE.2
Lesson 104
Standards:
A.A.14, A.A.18
Common Core Standards:
A.SSE.2
Lesson105,106( 2 days)
Standards:
A.A.17
Common Core Standards:
A.SSE.2
Lesson 107,108( 2 days)
Standards:
A.A.20, A.A.26
Common Core Standards:
A.APR.6
Lesson 109,110
Standards:
A.N.7, A.N.8
Common Core Standards:
S.CP.1
Aim: How do we simplify rational expressions?
Lesson 111
Aim: Regents Review
Lesson 112
Aim: Regents Review
Lesson 113
Aim: Regents Review
PH Integrated Algebra: pp 672 - 676
(include restrictions on domain)
Aim: How do we multiply and divide rational expressions?
PH Integrated Algebra: pp 677 - 681
Aim: How do we add and subtract rational expressions?
PH Integrated Algebra: pp 687 - 691
( include unlike denominators)
Aim: How do we solve rational equations?
PH Integrated Algebra: pp 692 -697
( include unlike denominators)
Aim: How do we find the number of permutations of objects in a set?
PH Integrated Algebra: pp# 699 - 703
(include letters of words with and without repetitions)