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2 | Mathematics Grade 6 | |||||||||||||||||||||||

3 | Planning Grid (Gantt Chart) | |||||||||||||||||||||||

4 | Links to Materials | Sequence instruction by academic year quarter. | ||||||||||||||||||||||

5 | Click colored cells to download: Worksheet Series / Activities / Related Videos/ Links | Indicate when you are introducing a skill by flagging the appropriate quarter green. | ||||||||||||||||||||||

6 | Worksheet #1 | 📽 Related Video | Worksheet #2 | Related Link | Worksheet #3 | Worksheet #4 | Flag the skill red when students will practice the skill on independent assignments (homework). | |||||||||||||||||

7 | Same background color indicates that these resources are related. Precursor skills are other colors. | |||||||||||||||||||||||

8 | Blue flag: priority skill- to be assessed on Progress Monitoring Tests | MCAS Grade 6 Mathematics Reference Sheet | Instructional level of skill: flag green | Independent level of skill: flag red. | ||||||||||||||||||||

9 | Q1 | Q2 | Q3 | Q4 | ||||||||||||||||||||

10 | CC # | Foundational Skills | Sept-Oct | Nov-Jan | Feb-Mar | Apr -Jun | ||||||||||||||||||

11 | Precursor | Know whole number multiplication and ÷ facts x 2,5,9,1,10 and associated divisibility rules Become functionally fluent using Multiplication and Division Facts for the Whole-to-Part Visual Learner. | x/÷ 2, 5,10 | x/÷ 2, 5,10 | x/÷ 2, 5,10,9,1 | |||||||||||||||||||

12 | Click for book link. | x chart =fractions | % Benchmark Facts | Ball Toss x Procedure | ||||||||||||||||||||

13 | 📽 Woodin Ladder Chart Instructional Video | Color Coded Ladder Chart with Divisibility Rule References | 📽 % Benchmark Facts Video | |||||||||||||||||||||

14 | 5.NF.1 | Add and subtract fractions with unlike denominators (including mixed numbers). | ||||||||||||||||||||||

15 | 📽 Whole to Part Fraction Video | Type 1 2 3 fraction addition flow chart | 📽 VIdeo type 1,2,3 | Type 1,2,3 fraction Addition and Sorting Activity A | Type 123 mixed Sort ActivityB | 📽 Regroup Mixed # Video | ||||||||||||||||||

16 | Precursor | Know perfect square facts. | ||||||||||||||||||||||

17 | Perfect Squares | |||||||||||||||||||||||

18 | 6.EE1 | Write and evaluate numerical expressions involving whole-number exponents. | ||||||||||||||||||||||

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20 | 6.EE2 | Write, read, and evaluate expressions in which letters stand for numbers. | ||||||||||||||||||||||

21 | Commute Combine Evaluate Template | |||||||||||||||||||||||

22 | 📽 Commute Combine Evaluate | |||||||||||||||||||||||

23 | 6.EE2a | Write expressions that record operations with numbers and with letters standing for numbers. (e.g., express the calculation “Subtract y from 5” as 5 – y.) | ||||||||||||||||||||||

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25 | 6.EE2b | Identify parts of an expression using terminology: (sum, term, product, factor, quotient, coefficient). | ||||||||||||||||||||||

26 | Algebra vocabulary and key words | Intro Algegra Vocab. Quiz | ||||||||||||||||||||||

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28 | Q1 | Q2 | Q3 | Q4 | ||||||||||||||||||||

29 | Introductory Formulas | Sept-Oct | Nov-Jan | Feb-Mar | Apr -Jun | |||||||||||||||||||

30 | Capstone | Perform fraction operations and convert fractions to decimals | ||||||||||||||||||||||

31 | 4 Operation Fraction Classification and Dictation | |||||||||||||||||||||||

32 | Precursor | Perform multidigit multiplication, including factors that are decimals. | ||||||||||||||||||||||

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34 | 6.EE2c | Evaluate expressions and formulas at specific values of their variables using the correct order of operations. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations) | ||||||||||||||||||||||

35 | 📽 Perimeter video | |||||||||||||||||||||||

36 | 6.G 2 | Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. | ||||||||||||||||||||||

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38 | Precursor | Change mixed numbers to improper fractions. | ||||||||||||||||||||||

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40 | 4.NF.4 | Multiply a whole number by a unit fraction, then other fractions. | ||||||||||||||||||||||

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42 | 5.NF.4.a | Multiply a fraction by a fraction. | ||||||||||||||||||||||

43 | ||||||||||||||||||||||||

44 | 5.NF.4.a | Multiply mixed numbers. | ||||||||||||||||||||||

45 | 📽 X fraction video | |||||||||||||||||||||||

46 | 6.G 1 | Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. | ||||||||||||||||||||||

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48 | 6.G 2 | Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. | ||||||||||||||||||||||

49 | Snap Cube Volume and Displacement | Find Volumes of Rectangular Prisms | MCAS Multiple Choice Volume Problems | |||||||||||||||||||||

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51 | Q1 | Q2 | Q3 | Q4 | ||||||||||||||||||||

52 | Computation and Related Word Problems | Sept-Oct | Nov-Jan | Feb-Mar | Apr -Jun | |||||||||||||||||||

53 | 6.NS.1 | Interpret and compute problems involving division of fractions by fractions. | ||||||||||||||||||||||

54 | ||||||||||||||||||||||||

55 | 6.NS.2 | Fluently divide multi-digit numbers using the standard algorithm. | ||||||||||||||||||||||

56 | 📽 Division VIdeo | Division Production | Four Division Problems with Ladder Chart | 📽 Ladder Chart with Divisibility Rules and Division Process | Color Coded Ladder Chart with Divisibility Rule References | Division Template | ||||||||||||||||||

57 | 6.NS.2 | Fluently divide multi-digit decimals by whole number divisors. | ||||||||||||||||||||||

58 | ||||||||||||||||||||||||

59 | 6.NS.3 | Fluently add, subtract, multiply, and divide multi-digit decimals using standard algorithms. | ||||||||||||||||||||||

60 | Base Ten block +- 3 digit template | Add and subtract Pure currency amounts | ||||||||||||||||||||||

61 | 6.NS.3 | Solve real world problems involving the four basic operations with rational numbers. | ||||||||||||||||||||||

62 | Fish Bucks Thematic Unit and Game | |||||||||||||||||||||||

63 | ||||||||||||||||||||||||

64 | Q1 | Q2 | Q3 | Q4 | ||||||||||||||||||||

65 | Ratios, Rates, and Proportions | Sept-Oct | Nov-Jan | Feb-Mar | Apr -Jun | |||||||||||||||||||

66 | 6.RP1 | Understand the concept of a ratio including the distinctions between part:part and part:whole and the value of a ratio; part/part and part/whole. Use ratio language to describe a ratio relationship between two quantities. For example: The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every two wings there was one beak; For every vote candidate A received, candidate C received nearly three votes, meaning that candidate C received three out of every four votes or ¾ of all votes. | ||||||||||||||||||||||

67 | ||||||||||||||||||||||||

68 | 6.RP2* | Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship, including the use of units. For example: This recipe has a ratio of three cups of flour to four cups of sugar, so there is ¾ cup of flour for each cup of sugar; We paid $75 for 15 hamburgers, which is a rate of five dollars per hamburger | ||||||||||||||||||||||

69 | See below | |||||||||||||||||||||||

70 | 6.RP3.a | Make tables of equivalent ratios based on visual or semantic relationships, find missing values in the tables, and plot the pairs of values on the coordinate plane. | ||||||||||||||||||||||

71 | Graph Unit Rates Level 1 | Graph Equivalent Rates and Ratios | ||||||||||||||||||||||

72 | 📽 Graph = Rates Precursor Activity video | 📽 Companion Video of Graphing Rates | Ladder Fact Functions | Graph fractions to illustrate slope | ||||||||||||||||||||

73 | 6.RP3.a | Use tables to compare ratios. | ||||||||||||||||||||||

74 | ||||||||||||||||||||||||

75 | 6.RP3.b | Solve unit rate problems including those involving unit pricing and constant speed. (e.g., if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?) | ||||||||||||||||||||||

76 | Unit Rate introduction Worksheet series | Proportional Relationships as Fractions also 6.RP2 | ||||||||||||||||||||||

77 | 6.RP3.d | Use ratio reasoning to convert measurement units within and between measurement systems; manipulate and transform units appropriately when multiplying or dividing quantities. For example, Malik is making a recipe, but he cannot find his measuring cups! He has, however, found a tablespoon. His cookbook says that 1 cup = 16 tablespoons. Explain how he could use the tablespoon to measure out the following ingredients: two cups of flour, ½ cup sunflower seed, and 1¼ cup of oatmeal. | ||||||||||||||||||||||

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79 | ||||||||||||||||||||||||

80 | Q1 | Q2 | Q3 | Q4 | ||||||||||||||||||||

81 | Percentages | Sept-Oct | Nov-Jan | Feb-Mar | Apr -Jun | |||||||||||||||||||

82 | precursor | Understand benchmark percents as part of a 100% whole. | ||||||||||||||||||||||

83 | % Benchmark Multiplication Facts | |||||||||||||||||||||||

84 | 📽 % Benchmark Facts Video | Benchmark % Trees extended to simple word problems | Leaf Drop Thematic Unit: Fractions to Percent | |||||||||||||||||||||

85 | 6.RP3.c | |||||||||||||||||||||||

86 | Baseball Fraction and % Notebook Program File | Baseball Percentage of Wins Unit | % Benchmark Facts | % Estimation Trees | ||||||||||||||||||||

87 | ||||||||||||||||||||||||

88 | Q1 | Q2 | Q3 | Q4 | ||||||||||||||||||||

89 | Factors And Multiples | Sept-Oct | Nov-Jan | Feb-Mar | Apr -Jun | |||||||||||||||||||

90 | Precursor | Label and produce prime #s, factors, multiples. | ||||||||||||||||||||||

91 | Snap Cube Factoring | |||||||||||||||||||||||

92 | 6.NS.4 | Use prime factorization to find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. | ||||||||||||||||||||||

93 | LCM LCD Factoring | |||||||||||||||||||||||

94 | 6.NS.4 | Use prime factorization to find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. | ||||||||||||||||||||||

95 | LCM LCD Factoring | Pendulums | 📽 Pendulum LCM Video | |||||||||||||||||||||

96 | ||||||||||||||||||||||||

97 | Q1 | Q2 | Q3 | Q4 | ||||||||||||||||||||

98 | Integers | Sept-Oct | Nov-Jan | Feb-Mar | Apr -Jun | |||||||||||||||||||

99 | 6.NS.5 | Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, and positive/negative electric charge). Use positive and negative numbers (whole numbers, fractions, and decimals) to represent quantities in real-world contexts, explaining the meaning of zero in each situation. | ||||||||||||||||||||||

100 | 6.NS.6a* | Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that zero is its own opposite. |

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