Grade 7 HONORS Pre-Algebra Topics/Assignments/Assessments for 2013-14 Text: McDougal Littell Pre-Algebra 2008 edition

UNIT 1: RATIONAL NUMBERS

Calculating Grades and Review Notes for Pre-Algebra Date Complete

1. Calculating the grade (percent) given a fraction (#1-12) ______

[CC.6.RP.3c]

2. Calculating the average (mean) given a list of grades (#1-7) ______

[CC.6.SP.5C]

3. Adding and Subtracting Fractions (#1-12) ______

Adding and Subtracting Decimal Fractions (#1-13)

[CC.7.NS.1]

4. Multiplying and Dividing Fractions and Mixed Numbers ______

(#1-15 odd)

Multiplying and Dividing Decimal Fractions (#1-13 odd)

[CC.7.NS2]

5. Review of basic skills (#2-16 even, 2-14 even) ______

ASSESSMENT: PRE-ALGEBRA BASIC SKILLS REVIEW TEST ______

Basic Skills Letters sent on: ______

Chapter One: Pre-Algebra Basics and Integer operations Date Complete

6. 1.1 Expressions and Variables [CC.6.EE.1,2] ______

(p. 7 #13-31 ODD / p. 8 #32-37, 57-67 ODD)

7. 1.2 Powers and Exponents [CC.6.EE.1,2] ______

(p. 12 # 13-27 ODD / p. 13 #30-33, 38-42, 44-49)

8. 1.3 Order of Operations [CC.7.NS.1] [CC.6.EE.1,2] ______

(p. 18 # 3-8, 11-35 ODD)

Day 2: Order of operations with decimals and fractions ______

(p. 19 #19-27, 32-35, (5 fraction problems from class

9. 1.4 Comparing and Ordering Integers [CC.6.NS5] ______

(p. 25 # 19-33 ODD, 43-49 ODD, 55-63 ODD, 72-76)

10. 1.5 Adding Integers [CC.7.NS.1a,b,c] ______

(p. 32 # 15-37, 47-53 Do not draw number lines)

11. 1.6 Subtracting Integers [CC.7.NS.1a,b,c] ______

*Suggestion to give a warm-up quiz for feedback*

(p. 36 # 13-31 ODD, 39-45 ODD, 56-65)

Day 2: Practice on 1.5 to 1.6 Adding/ Subtracting Integers ______

(Worksheet)

ASSESSMENT: 1.1-1.6 QUIZ ______

12. 1.7 Multiplying and Dividing Integers [CC.7.NS.1a,b,c] ______

(p. 45 # 12-23, 29-34, 38-41)

13. 4.7 Scientific Notation [CC.8.EE.3] ______

(p. 207 #13-37 odd)

Day 2: Scientific Notation with calculations [CC.8.EE.4] ______

* Add x/ problems involving scientific notation including word problems*

(p. 207 # 14-36 even, 44-47, 52)

14. Chapter One Review ______

(p. 52-55 # 5-55 ODD, plus extra SN problems)

ASSESSMENT: CHAPTER ONE ______

(p. 39-40 # 1-5 / p. 62 # 2-11)

Chapter Five: Rational Numbers

15. 5.1 Rational Numbers [CC.8.NS.1] ______

(p. 222 # 29-45 odd 49,54, 66-67)

16 5.2 Adding and Subtracting Like Fractions ______

(p. 228 # 11-25 ODD, 39-43 ODD, 55-57 ODD

17. 5.3 Adding and Subtracting Unlike Fractions [CC.7.NS1,2] ______

(p. 234 # 21-33 odd, 37-49 odd)

Day 2: Adding and Subtracting Unlike Fractions ______

(Worksheet)

ASSESSMENT: 5.1 to 5.3 QUIZ ______

18. 5.4 Multiplying Fractions [CC.7.NS1,2] ______

(p. 240 # 9-27 odd, 33-38)

19. 5.5 Dividing Fractions [CC.7.NS1,2] ______

(p. 245 #17-35 odd, 43-49 odd)

Day 2: Practice all skills [Order of Operations] ______

(Worksheet including many order of operations problems)

20. Decimal Operations [Positive and Negative] ______

(Worksheet)

21. Review of 5.1 to 5.5 and decimals ______

(worksheet)

ASSESSMENT: TEST ON CHAPTER FIVE (include decimals) ______

UNIT 2: RATIOS, PERCENTAGES, AND PROPORTIONAL REASONING

Chapter Six: Ratios and Proportions [On DCAS]

22. 6.1 Ratios and Rates [CC.7.RP.1,2] ______

(p. 272 # 1, 3-9, 20-27, 37, 40)

23. 6.2 Solving Proportions [CC.7.RP.1,2] ______

[Emphasize clearing denominators verses finding cross products]

(p. 277 # 2-8, 9-27 odd)

Day 2: Solving Proportions [CC.7.RP.1,2] ______

[Include many word problems]

(p. 278 #10-28 even, 32,34)

24. Ratio Word Problems [CC.7.RP.1,2] ______

(Worksheet packet)

25. 6. 4 to 6.5 Similarity in Figures Measurement [CC.8.G.4,5] ______

[When you know figures are similar, find missing measurements

by using the two properties of similar figures. Stress Scale Factor]

(p. 295 # 6-13)

26. Day 2: Similarity in Figures Measurement [CC.8.G.4,5] ______

(Worksheet , p. 298 #1-17)

27. Day 3: More practice including word problems ______

(worksheet)

28. 6.6 Scale Drawings [CC.8.G.4,5] ______

(p. 302 # 12-27, 36-39)

29. Chapter Six Review ______

(Worksheet)

ASSESSMENT: CHAPTER SIX TEST ______

Chapter Seven: Percents and Problem Solving [On DCAS]

30. Introduction to Percentages ______

[Meaning of percentages and converting from fractions, decimals,

and percents]

(p. 809 1-8, 13-20)

31. 7.2 Percents and Proportions [CC.7.RP.3] ______

(p. 337 # 9-19)

32. Day 2: Word problems with proportions ______

(worksheet)

33. Percent Applications Problems ______

(Worksheet/review)

34. 7.5 Percent of Change ______

(p. 355 # 7-19)

35. 7.6 Percent Applications (Discount) ______

(p. 360 # 8-17, 24-25)

36. 7.7 Simple and Compound Interest [CC.7.RP.3] ______

(p. 364 # 1-23 odd, 29-30)

37. Chapter Seven Review ______

(p. 368 # 5-47 odd)

ASSESSMENT: CHAPTER SEVEN TEST ______

Probability Packet [On DCAS] [CC.7.SP.5,6,7,8]

38. Simple Probability (Theoretical Vs. Experimental) ______

(Day 1 worksheet)

39. Listing Sample Space with Tables and Tree Diagrams ______

(Day 2 worksheet)

40. Expected Value ______

(Day 3 worksheet)

41. Fair and Unfair games ______

(Day 4 worksheet)

42. Probability Review/ Compound Probability ______

(Worksheet)

ASSESSMENT: PROBABILITY QUIZ ______

UNIT 3: EXPRESSIONS AND EQUATIONS

Chapter Two: Using Variables and Solving Equations

43. 2.1 Properties and Operations [CC.7.EE.1] ______

(p. 66 # 17-37 ODD, 53-59 ODD)

44. 2.2 Distributive Property [CC.7.EE.1] ______

(p. 74 # 21-35 ODD, 39-43 ODD, 46-49)

45. Day 2: Distributive Property ______

(p. 74 # 20-34 EVEN, 38-42 EVEN, 52-62 EVEN)

46. 2.3 Simplifying Variables and Expressions [CC.8.EE.7a,b] ______

[graded Mini quiz on distributive property]

(p. 81 # 11-29 ODD, 33-35, 40-47)

47. Day 2: Simplifying Variable Expressions ______

(p. 84 # 1-4, 6-22 Mid Chapter Quiz)

48. Day 3: Possible Extra Review ______

(Worksheet)

49. 2.5 Solving 1-step Addition / Subtraction Equations [CC.8.EE.7] ______

2.6 Solving 1-step Multiplying/ Dividing Equations

(worksheet that includes fractions and decimals)

50. Chapter Two Review ______

(worksheet that includes fractions/decimals )

ASSESSMENT: CHAPTER TWO TEST ______

Chapter Three: Multi-step Equations and Inequalities

51. 3.1 Two-Step Equations with Word Problems [CC.8.EE.7a,b] ______

(p. 123 # 9-33 ODD, 37-43 ODD)

Day 2: Two-Step Equations with Word Problems ______

52. (Worksheet)

53. Day 3: Two-Step Equations with Fractions ______

(Worksheet)

54. Day 4: Equation Review ______

(Worksheet)

ASSESSMENT: TWO-STEP EQUATIONS QUIZ ______

55. 3.2 Solving Multi-Step Equations [CC.8.EE.7a,b] ______

(p. 127 # 15-33 ODD)

56. Day 2: Practice ______

(p. 127 # 16-34 EVEN)

57. Day 3: Practice ______

(Worksheet 3.2 B)

ASSESSMENT: QUIZ on Multi-step Equations ______

58. 3.3 Solving equations with variables on both sides [CC.8.EE.7a,b] ______

(Worksheet 3.3A odds)

59. Day 2: 3.3 Practice ______

(p. 134 # 17-31 odd, 36-38)

60. Day 3: Practice with 3.3. ______

(Worksheet 3.3 B or C odds)

ASSESSMENT: QUIZ ON MULTI-STEP EQUATIONS ______

61. 3.4 Solving Inequalities with addition and subtraction [extension] ______

(Pg. 141 # 15-29 odd) [Algebra standards]

3.5 Solving Inequalities with multiplication and division (pg. 146 # 21-33 odd)

62. 3.6 Solving multi-step inequalities ______

(Pg. 151 # 11-31 odd, 41-49 odd)

63. Using Formulas to solve for unknown values [CC.8.G.9]

[Volume, Area, Circumference, Perimeter]

*Don’t solve volume formulas for r, because that will be done later. *

Use word problems to make sure kids understand these formulas. [may be >1day]

(Worksheet)

64. Chapter Three Review ______

(pg 154 # 5-34 odd)

ASSESSMENT: CHAPTER THREE TEST ______

UNIT 4: EXAMPLES OF FUNCTIONS

Algebra Packet: Formulas and Graphs (Intro to slope and graphing, NOT formal) [Unit Standards: CC.8.SP.3, CC.8.EE.5, CC.8.F.2,3,4]

65. Introduction to Graphing ______

(CW: p. 1-3, HW: p. 4-5)

66. Graphing a Linear System [CC.8.EE.8c] ______

(CW: p. 9-10, HW: p. 11-12)

67. More Graphing ______

(CW: p. 13, HW: p. 14-16)

ASSESSMENT: Quiz on Graphing problems ______

68. Input/Output Tables ______

(CW: p. 18-19, HW: p. 20-21)

69. More Practice ______

(CW: p. 22-23, HW: p. 24-25)

70. Algebra Packet Review ______

(p. 26-27)

ASSESSMENT: TEST ON ALGEBRA PACKET (LINEAR) ______(2D)

(Music Company Problem)

Linear and Non-Linear Packet [CC.8.F.5]

71. Introduce linear vs. non-linear with graphing and word problems ______

(worksheet)

72.  Patterns Problems Practice ______

(worksheet)

UNIT 5: LINEAR FUNCTIONS

Chapter Eight: Graphing Linear Equations

73.  8.1 Relations and Functions [CC.8.F.1] ______

[This is where we must review the coordinate plan, range

and domain, and define a function]

(p. 388 # 9-23 odd)

74. Introduction to Graphing [CC.8.F.5] ______

[Check solutions and learn to solve for y]

(worksheet)

75. 8.2 Graphing Linear Equations using Tables ______

Already in Function Form [CC.8.F.2]

(Worksheet)

76. Day 2: Practice when it is not in function form ______

(Worksheet 8.2B odds)

77. 8.3 Using Intercepts to Graph [Algebra Standard] ______

(p. 400 #10-18)

Day 2: Practice ______

(Worksheet)

ASSESSMENT: QUIZ ON 8.2 to 8.3 ______

78. 8.4 Slope [CC.8.EE.6] ______

[Use similar triangles to prove slope

(p. 407 # 8-10, 18-27)

79. Day 2: Practice [CC.8.F.4] ______

(Practice Worksheet 8.4B odds)

80. 8.5 Graphing using slope-intercept form [CC.8.EE.6] ______

(Worksheet)

81. Day 2: 8.5 [CC.8.F.3]

(Worksheet 8.5 B odds) ______

82. Day 3: Practice [CC.8.SP.1,2] ______

Scatter Plots and talk about line of fit and slope (See State Ex.)

Compare Data

(Worksheet)

83. Day 4: Statistics and Graphing [CC.8.SP.3,4] ______

(Worksheet)

ASSESSMENT: QUIZ ON 8.4 – 8.5

84. 8.8 Linear Systems [CC.8.EE.8a] ______

(Pg. 434 #7-21 odd) Graph and Check Algebraically

85. Day 2: 8.8 [CC.8.EE.8b] ______

Worksheet 8.8B)

86. Solving Systems algebraically [CC.8.EE.8a,b,c] ______

[Create word problems that can be solved using simple systems

with substitution. Create multiple choice problems where kids

pick out solutions to systems algebraically]

(Worksheet) *May need two days*

87. Review Chapter 8 ______

(Pg. 810 #3-9 all, 15-25 odd, 35,37)

88. Chapter 8 Review ______

(Review Worksheet)

ASSESSMENT: Chapter Eight Test ______

(More practice if needed more Pg. 446 5-15 all, 21-23 odd)

UNIT 6: GEOMETRY

Chapter Thirteen: Angles and Polygons

89. 13.1 Angle Relationships [CC.8.G.5] ______

(p. 711 # 9-30, 34, 39-41)

90. 13.2 Angles and Parallel Lines [CC.8.G.5] ______

(p. 719 #9-20, 25-33)

91. 13.3 Angles and Polygons [CC.8.G.5] ______

[Add in more complicated figures where you have to use multiple

angle relationships to find missing angles. Also make sure to use

the equation skills learned in unit 2.]

(p. 725 # 3-20, 24-25, 45-46)

92. Review 13.1-13.3 ______

(p. 728 # 1-15, additional equation problems from class)

ASSESSMENT: ANGLES TEST ______

Chapter Ten: Surface Area and Volume

93. Basics of Polyhedrons and other Solids ______

(p. 535-536 # 1-6 and Worksheet)

94. 10.5 Surface Area of Prisms and Cylinders [CC.7.G.6] ______

(p. 541 # 6-11)

95. Day 2: Practice ______

(p. 541 # 12, 14-16, 19, 24-25)

96. 10.7 Volume of Prisms and Cylinders [CC.8.G.9] ______

(p. 555 # 7-14)

97. Day 2: Practice ______

(p. 556 # 15-17, 21-23)

98. 10.8 Volume of Cones [CC.8.G.9] ______

Sphere on pg. 562 is part of the standard

(p. 561 # 6-20)

ASSESSMENT: QUIZ ON 10.5-10.8 ______

UNIT 7: INTRODUCTION TO IRRATIONAL NUMBERS USING GEOMETRY (PYTHAGOREAN THEOREM)

Pythagorean Theorem

99. 9.1/9.4 Real Numbers [CC.8.NS1,2] ______

[Include square roots irrational numbers, cube roots]

* Use a calculator to estimate the decimal to the nearest tenth.

* Without a calculator, estimate to the nearest whole number.

(p. 456 #16-32, 41-44) Add in irrational notes, cube roots

100. Solving Equations involving squares and cubes [CC.8.EE.2] ______

[Keep this simple to a two-step equation max. Use volume

formulas for cylinders, cones, and spheres to solve for r.]

Square root of a positive # will have two answers

Square root of a negative # is undefined, Square root of zero is zero

(Worksheet)

101. Pythagorean Theorem Packet [CC.8.EE.2][CC.8.G.6,7,8] ______

(Prove the Theorem: In a right triangle, the square of the

hypotenuse is equal to the sum of the squares of the two

Legs.) Use the area of the square is the sum of the area of its parts.

(Worksheet)

102. Practice the Pythagorean Theorem [CC.8.EE.2][CC.8.G.6,7,8] ______

[Converse]

(Worksheet)

103. Practice the Pythagorean Theorem with word problems ______

(Worksheet) [CC.8.G.6,7,8]

104. Using the Pythagorean Theorem within 3-D models, ______

Word problems, and the coordinate plane.

(Worksheet)

105. Review Day ______

ASSESSMENT: PYTHAGOREAN THEOREM TEST ______

UNIT 8: THE CONCEPT OF CONGRUENCE AND SIMILARITY

RIGID MOTIONS

106. 13.4 Translations [CC.8.G.1a,b,c] [CC.8.G.2,3,4] ______

[Start with the definition of congruence. Teach the basic

properties of translations and compose translations.]

(p. 731 # 1-12, 16)

107. 13.5 Reflections and Symmetry [CC.8.G.1a,b,c] [CC.8.G.2,3,4] ______

[Know the basic properties of reflections and compose reflections]

(p. 736 # 11-13, 18, 19)

108. 13.6 Rotations and Symmetry [CC.8.G.1a,b,c] [CC.8.G.2,3,4] ______

[Teach the basic properties of rotations and how to compose rotations.

Be sure to give problems that include all three transformations.]

(p. 744 #3-6, 8-13)

109. Day 2: Translations, Reflections, and Rotations ______

(p. 754-755 all problems)

110. 13.7 Dilations [CC.8.G.1a,b,c] [CC.8.G.2,3,4] ______

[Stress similarity and scale factor here. Teach the properties

of dilations and compose dilations.]

(Worksheet )

Day 2: Still work on Dilations ______

(Worksheet)

111. Review of all transformations and Dilations ______

(Worksheet)

ASSESSMENT: QUIZ ON TRANSFORMATIONS ______