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4th Grade Math.

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Presentation on theme: "4th Grade Math."— Presentation transcript:

1 4th Grade Math

2 Standards 1 – Number Sense and Operations
2 – Patterns and Relationships 3 – Geometry 4 – Measurement 5 – Data and Probability

3 Standard 1 Mastery Skills Vocabulary Symbols
Objective 1: Number Sense Objective 2: Number Sense Objective 3: Operations Objective 4: Strategies Objective 5: Operations Vocabulary Symbols Exploratory Concepts and Skills

4 Standard 1 / Objective 1 Mastery Skills: Number Sense
Expanded Form Multiple Ways to Represent Whole Numbers Place and Value of Digits in a 6-digit numeral including decimals to the tenths Fractions Square Numbers

5 Expanded Form Example Teach it Test ? Hyperlink: Game

6 Multiple Ways to Represent Whole Numbers
Example Teach it Test ? Hyperlink: Game

7 Example Teach it Test ? Hyperlink: Game
Place and Value of Digits in a 6-digit numeral including decimals to the tenths Example Teach it Test ? Hyperlink: Game

8 Fractions (1/2, 1/3, ¼, 1/5, 1/6, 1/8, 1/10) Example Teach it Test ?
Hyperlink: Game

9 Square Numbers Example Teach it Test ? Hyperlink: Game

10 Standard 1 / Objective 2 Mastery Skills: Number Sense
Compare and Order Numbers Relative to Size Number line model Compare and Order Fractions and Decimals Number Line Model Identify Number Between Given Digits Identify Equivalent Fractions and Decimals Generate Equivalent Fractions and Decimals

11 Compare and Order Numbers Relative to Size
Number line Model Example Teach it Test ? Hyperlink: Game

12 Compare and Order Fractions and Decimals
Number Line Model Example Teach it Test ? Hyperlink: Game

13 Identify Number Between Given Digits
Example Teach it Test ? Hyperlink: Game

14 Identify Equivalent Fractions and Decimals
Example Teach it Test ? Hyperlink: Game

15 Generate Equivalent Fractions and Decimals
Example Teach it Test ? Hyperlink: Game

16 Standard 1 / Objective 3 Mastery Skills: Operations
Multiplication (_ _ x _ _) groups Array area model equal intervals on a number line Factoring using an Array Inverse Operations Division _ _ _ ÷_ = _ _ _ (Division of 0 is not possible) Rectangular Array Manipulatives Pictures Algorithms Add and Subtract Fractions Like Denominators Different Denominators

17 Multiplication (_ _ x _ _)
Groups Array area model equal intervals on a number line

18 Factoring using an Array
Example Teach it Test ? Hyperlink: Game

19 Inverse Operations Example Teach it Test ? Hyperlink: Game

20 Division _ _ _ ÷_ = _ _ _ (Division of 0 is not possible)
Rectangular Array Manipulatives Pictures Algorithms

21 Add and Subtract Fractions
Like Denominators Different Denominators

22 Standard 1 / Objective 4 Mastery Skills: Strategies
Estimate Mental Math Using a Calculator Story Problems Multiplication Division Fractions Addition Subtraction

23 Estimate Example Teach it Test ? Hyperlink: Game

24 Mental Math Example Teach it Test ? Hyperlink: Game

25 Using a Calculator

26 Story Problems Strategies to Solve Story Problems

27 Multiplication Example Teach it Test ? Hyperlink: Game

28 Division Example Teach it Test ? Hyperlink: Game

29 Fractions Example Teach it Test ? Hyperlink: Game

30 Addition Example Teach it Test ? Hyperlink: Game

31 Subtraction Example Teach it Test ? Hyperlink: Game

32 Standard 1 / Objective 5 Mastery Skills: Operations
Math Facts Multiplication Division Multiplication: _ _ _ x _ _ Division: _ _ _ ÷ _ Fractions: _ / _ +- _ / _

33 Math Facts Example Teach it Test ? Hyperlink: Game

34 Multiplication Example Teach it Test ? Hyperlink: Game

35 Division Example Teach it Test ? Hyperlink: Game

36 Fraction Example Teach it Test ? Hyperlink: Game

37 Standard 1 Vocabulary Array Denominator Difference Dividend Divisor
Equivalent Estimate Expanded Form Factor Inverse Multiple Numerator Operation Product Quotient Square Number Standard Form Sum

38 Array Example Teach it Test ? Hyperlink: Game

39 Denominator Example Teach it Test ? Hyperlink: Game

40 Difference Example Teach it Test ? Hyperlink: Game

41 Dividend Example Teach it Test ? Hyperlink: Game

42 Divisor Example Teach it Test ? Hyperlink: Game

43 Equivalent Example Teach it Test ? Hyperlink: Game

44 Estimate Example Teach it Test ? Hyperlink: Game

45 Expanded Form Example Teach it Test ? Hyperlink: Game

46 Factor Example Teach it Test ? Hyperlink: Game

47 Inverse Example Teach it Test ? Hyperlink: Game

48 Multiple Example Teach it Test ? Hyperlink: Game

49 Numerator Example Teach it Test ? Hyperlink: Game

50 Operation Example Teach it Test ? Hyperlink: Game

51 Product Example Teach it Test ? Hyperlink: Game

52 Quotient Example Teach it Test ? Hyperlink: Game

53 Square Number Example Teach it Test ? Hyperlink: Game

54 Standard Form Example Teach it Test ? Hyperlink: Game

55 Sum Example Teach it Test ? Hyperlink: Game

56 Standard 1 Symbols < > =

57 < Example Teach it Test ? Hyperlink: Game

58 > Example Teach it Test ? Hyperlink: Game

59 = Example Teach it Test ? Hyperlink: Game

60 Example Teach it Test ? Hyperlink: Game

61 Standard 1 Exploratory Concept and Skills
Add and Subtract Decimals Numbers Less Than 0 Ratio

62 Standard 2 Mastery Skills Vocabulary Exploratory Concepts and Skills
Objective 1: Patterns Objective 2: Algebra Vocabulary Exploratory Concepts and Skills

63 Standard 2 / Objective 1 Mastery Skills: Patterns
Patterns: Determine Rule and Extend Objects Pictures Numbers Tables Real Life Patterns Multiply by Patterns

64 Patterns Example Teach it Test ? Hyperlink: Game

65 Real Life Patterns Example Teach it Test ? Hyperlink: Game

66 Multiply by Patterns Example Teach it Test ? Hyperlink: Game

67 Standard 2 / Objective 2 Mastery Skills: Algebra
Order Of Operations Simplify Expressions Compare equations using <, >, =, ≠ Variables

68 Order of Operations Example Teach it Test ? Hyperlink: Game

69 Simplify Expressions Example Teach it Test ? Hyperlink: Game

70 Compare Equations Example Teach it Test ? Hyperlink: Game

71 Variables Example Teach it Test ? Hyperlink: Game

72 Standard 2 Vocabulary Associative Property Commutative Property
Distributive Property Equation Expression Growing Pattern Inequality Order of Operation Parentheses Zero property of Addition Zero Property of Multiplication

73 Associative Property Example Teach it Test ? Hyperlink: Game

74 Commutative Property Example Teach it Test ? Hyperlink: Game

75 Distributive Property
Example Teach it Test ? Hyperlink: Game

76 Equation Example Teach it Test ? Hyperlink: Game

77 Expression Example Teach it Test ? Hyperlink: Game

78 Growing Pattern Example Teach it Test ? Hyperlink: Game

79 Inequality Example Teach it Test ? Hyperlink: Game

80 Order of Operation Example Teach it Test ? Hyperlink: Game

81 Parentheses Example Teach it Test ? Hyperlink: Game

82 Zero property of Addition
Example Teach it Test ? Hyperlink: Game

83 Zero Property of Multiplication
Example Teach it Test ? Hyperlink: Game

84 Standard 2 Exploratory Concepts and Skills
Use materials to show equality and inequality Explore properties of equality Equals are added to equals Equals multiplied by equals

85 Standard 3 Mastery Skills Vocabulary Exploratory Concepts and Skills
Objective 1: Geometric Attributes Objective 2: Maps and Grids Objective 3: Transformations Vocabulary Exploratory Concepts and Skills

86 Standard 3 / Objective 1 Mastery Skills: Geometric Attributes
Parallel, Perpendicular, Intersecting Lines Right, Acute, Obtuse, and Straight Lines Radius, Diameter of a Circle Symmetry Shapes Lines of Symmetry Rotational Symmetry Congruent vs. Similar shapes

87 Parallel, Perpendicular, Intersecting Lines
Example Teach it Test ? Hyperlink: Game

88 Right, Acute, Obtuse, and Straight Lines
Example Teach it Test ? Hyperlink: Game

89 Radius, Diameter of a Circle
Example Teach it Test ? Hyperlink: Game

90 Symmetry Shapes Lines of Symmetry Rotational Symmetry

91 Congruent vs. Similar shapes
Example Teach it Test ? Hyperlink: Game

92 Standard 3 / Objective 2 Mastery Skills: Maps and Grids
Coordinates Regions of Utah

93 Coordinates Example Teach it Test ? Hyperlink: Game

94 Regions of Utah Example Teach it Test ? Hyperlink: Game

95 Standard 3 / Objective 3 Mastery Skills: Transformations
Translation (slide) Rotation (turn) Reflection (flip) Angles 90° = ¼ turn 180° = ½ turn 270° = ¾ turn 360° = full turn

96 Transformations Example Teach it Test ? Hyperlink: Game

97 Angles Example Teach it Test ? Hyperlink: Game

98 Standard 3 Vocabulary Acute angle Circle Coordinate Degree Diameter
First quadrant Intersecting lines Line symmetry Obtuse Angle Parallel Perpendicular Radius Reflection Right Angle Rotation Rotational Symmetry Straight Line Translation

99 Acute Angle Example Teach it Test ? Hyperlink: Game

100 Circle Example Teach it Test ? Hyperlink: Game

101 Coordinate Example Teach it Test ? Hyperlink: Game

102 Degree Example Teach it Test ? Hyperlink: Game

103 Diameter Example Teach it Test ? Hyperlink: Game

104 First quadrant Example Teach it Test ? Hyperlink: Game

105 Intersecting lines Example Teach it Test ? Hyperlink: Game

106 Line symmetry Example Teach it Test ? Hyperlink: Game

107 Obtuse Angle Example Teach it Test ? Hyperlink: Game

108 Parallel Example Teach it Test ? Hyperlink: Game

109 Perpendicular Example Teach it Test ? Hyperlink: Game

110 Radius Example Teach it Test ? Hyperlink: Game

111 Reflection Example Teach it Test ? Hyperlink: Game

112 Right Angle Example Teach it Test ? Hyperlink: Game

113 Rotation Example Teach it Test ? Hyperlink: Game

114 Rotational Symmetry Example Teach it Test ? Hyperlink: Game

115 Straight Angle Example Teach it Test ? Hyperlink: Game

116 Translation Example Teach it Test ? Hyperlink: Game

117 Standard 3 Exploratory Concepts and Skills
Analyze results of Transformations Relationships between two-dimension shapes and three-dimensional shapes

118 Standard 4 Mastery Skills Vocabulary Exploratory Concepts and Skills
Objective 1: Measurement of Objects Objective 2: Measurement of Shapes Vocabulary Exploratory Concepts and Skills

119 Standard 4 / Objective 1 Mastery Skills: Measurement of Objects
Metric units: Measure, Identify, and Estimate Length Capacity Weight Customary Units: Measure, Identify, and Estimate Angles: Measure and Estimate

120 Metric Units Length Capacity Weight / Mass

121 Length Example Teach it Test ? Hyperlink: Game

122 Capacity Example Teach it Test ? Hyperlink: Game

123 Weight / Mass Example Teach it Test ? Hyperlink: Game

124 Customary Units Length Capacity Mass

125 Length Example Teach it Test ? Hyperlink: Game

126 Capacity Example Teach it Test ? Hyperlink: Game

127 Weight / Mass Example Teach it Test ? Hyperlink: Game

128 Angles Example Teach it Test ? Hyperlink: Game

129 Standard 4 / Objective 2 Mastery Skills: Measurement of Shapes
Area of Rectangles Area of Right Triangles Relationships of Area Triangles Parallelograms Rectangles Perimeter

130 Area of Rectangles Example Teach it Test ? Hyperlink: Game

131 Area of Right Triangles
Example Teach it Test ? Hyperlink: Game

132 Relationships of Area Example Teach it Test ? Hyperlink: Game

133 Perimeter Example Teach it Test ? Hyperlink: Game

134 Standard 4 Vocabulary Area Centimeter Cup Gallon Gram Kilogram Liter
Millimeter Milliliter Perimeter Pint Quart

135 Area Example Teach it Test ? Hyperlink: Game

136 Centimeter Example Teach it Test ? Hyperlink: Game

137 Cup Example Teach it Test ? Hyperlink: Game

138 Gallon Example Teach it Test ? Hyperlink: Game

139 Gram Example Teach it Test ? Hyperlink: Game

140 Kilogram Example Teach it Test ? Hyperlink: Game

141 Liter Example Teach it Test ? Hyperlink: Game

142 Meter Example Teach it Test ? Hyperlink: Game

143 Millimeter Example Teach it Test ? Hyperlink: Game

144 Milliliter Example Teach it Test ? Hyperlink: Game

145 Perimeter Example Teach it Test ? Hyperlink: Game

146 Pint Example Teach it Test ? Hyperlink: Game

147 Quart Example Teach it Test ? Hyperlink: Game

148 Standard 4 Exploratory Concepts and Skills
Investigate the relationships between perimeter and area: Squares Rectangles Parallelograms Triangles

149 Standard 5 Mastery Skills Vocabulary Exploratory Concepts and Skills
Objective 1: Data Analysis Objective 2: Probability Vocabulary Exploratory Concepts and Skills

150 Standard 5 / Objective 1 Mastery Skills: Data Analysis
Collect, Organize, Interpret and Display Data Bar graphs Line plots Stem and leaf plots Tables Graphs Surveys Observations Identify Outlier and Clusters

151 Bar graphs Example Teach it Test ? Hyperlink: Game

152 Line plots Example Teach it Test ? Hyperlink: Game

153 Stem and Leaf Plots Example Teach it Test ? Hyperlink: Game

154 Tables Example Teach it Test ? Hyperlink: Game

155 Graphs Example Teach it Test ? Hyperlink: Game

156 Surveys Example Teach it Test ? Hyperlink: Game

157 Observations Example Teach it Test ? Hyperlink: Game

158 Outliers Example Teach it Test ? Hyperlink: Game

159 Clusters Example Teach it Test ? Hyperlink: Game

160 Standard 5 / Objective 2 Mastery Skills: Probability
Random Outcomes as Ratios Simple Experiment With replacements Without replacements

161 Random Outcomes as Ratios
Example Teach it Test ? Hyperlink: Game

162 Simple Experiment With Replacements Without Replacements

163 Standard 5 Vocabulary Cluster Data Frequency Table Outlier Probability

164 Cluster Example Teach it Test ? Hyperlink: Game

165 Data Example Teach it Test ? Hyperlink: Game

166 Frequency Table Example Teach it Test ? Hyperlink: Game

167 Outlier Example Teach it Test ? Hyperlink: Game

168 Probability Example Teach it Test ? Hyperlink: Game

169 Standard 5 Exploratory Concepts and Skills
Minimum and Maximum Values Mean Median Mode Range


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