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4th Grade Math

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**Standards 1 – Number Sense and Operations**

2 – Patterns and Relationships 3 – Geometry 4 – Measurement 5 – Data and Probability

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**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

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**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

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Expanded Form Example Teach it Test ? Hyperlink: Game

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**Multiple Ways to Represent Whole Numbers**

Example Teach it Test ? Hyperlink: Game

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**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

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

Hyperlink: Game

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Square Numbers Example Teach it Test ? Hyperlink: Game

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**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

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**Compare and Order Numbers Relative to Size**

Number line Model Example Teach it Test ? Hyperlink: Game

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**Compare and Order Fractions and Decimals**

Number Line Model Example Teach it Test ? Hyperlink: Game

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**Identify Number Between Given Digits**

Example Teach it Test ? Hyperlink: Game

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**Identify Equivalent Fractions and Decimals**

Example Teach it Test ? Hyperlink: Game

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**Generate Equivalent Fractions and Decimals**

Example Teach it Test ? Hyperlink: Game

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**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

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**Multiplication (_ _ x _ _)**

Groups Array area model equal intervals on a number line

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**Factoring using an Array**

Example Teach it Test ? Hyperlink: Game

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Inverse Operations Example Teach it Test ? Hyperlink: Game

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**Division _ _ _ ÷_ = _ _ _ (Division of 0 is not possible)**

Rectangular Array Manipulatives Pictures Algorithms

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**Add and Subtract Fractions**

Like Denominators Different Denominators

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**Standard 1 / Objective 4 Mastery Skills: Strategies**

Estimate Mental Math Using a Calculator Story Problems Multiplication Division Fractions Addition Subtraction

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Estimate Example Teach it Test ? Hyperlink: Game

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Mental Math Example Teach it Test ? Hyperlink: Game

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Using a Calculator

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Story Problems Strategies to Solve Story Problems

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Multiplication Example Teach it Test ? Hyperlink: Game

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Division Example Teach it Test ? Hyperlink: Game

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Fractions Example Teach it Test ? Hyperlink: Game

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Addition Example Teach it Test ? Hyperlink: Game

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Subtraction Example Teach it Test ? Hyperlink: Game

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**Standard 1 / Objective 5 Mastery Skills: Operations**

Math Facts Multiplication Division Multiplication: _ _ _ x _ _ Division: _ _ _ ÷ _ Fractions: _ / _ +- _ / _

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Math Facts Example Teach it Test ? Hyperlink: Game

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Multiplication Example Teach it Test ? Hyperlink: Game

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Division Example Teach it Test ? Hyperlink: Game

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Fraction Example Teach it Test ? Hyperlink: Game

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**Standard 1 Vocabulary Array Denominator Difference Dividend Divisor**

Equivalent Estimate Expanded Form Factor Inverse Multiple Numerator Operation Product Quotient Square Number Standard Form Sum

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Array Example Teach it Test ? Hyperlink: Game

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Denominator Example Teach it Test ? Hyperlink: Game

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Difference Example Teach it Test ? Hyperlink: Game

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Dividend Example Teach it Test ? Hyperlink: Game

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Divisor Example Teach it Test ? Hyperlink: Game

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Equivalent Example Teach it Test ? Hyperlink: Game

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Estimate Example Teach it Test ? Hyperlink: Game

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Expanded Form Example Teach it Test ? Hyperlink: Game

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Factor Example Teach it Test ? Hyperlink: Game

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Inverse Example Teach it Test ? Hyperlink: Game

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Multiple Example Teach it Test ? Hyperlink: Game

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Numerator Example Teach it Test ? Hyperlink: Game

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Operation Example Teach it Test ? Hyperlink: Game

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Product Example Teach it Test ? Hyperlink: Game

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Quotient Example Teach it Test ? Hyperlink: Game

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Square Number Example Teach it Test ? Hyperlink: Game

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Standard Form Example Teach it Test ? Hyperlink: Game

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Sum Example Teach it Test ? Hyperlink: Game

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Standard 1 Symbols < > = ≠

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< Example Teach it Test ? Hyperlink: Game

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> Example Teach it Test ? Hyperlink: Game

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= Example Teach it Test ? Hyperlink: Game

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≠ Example Teach it Test ? Hyperlink: Game

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**Standard 1 Exploratory Concept and Skills**

Add and Subtract Decimals Numbers Less Than 0 Ratio

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**Standard 2 Mastery Skills Vocabulary Exploratory Concepts and Skills**

Objective 1: Patterns Objective 2: Algebra Vocabulary Exploratory Concepts and Skills

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**Standard 2 / Objective 1 Mastery Skills: Patterns**

Patterns: Determine Rule and Extend Objects Pictures Numbers Tables Real Life Patterns Multiply by Patterns

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Patterns Example Teach it Test ? Hyperlink: Game

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Real Life Patterns Example Teach it Test ? Hyperlink: Game

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Multiply by Patterns Example Teach it Test ? Hyperlink: Game

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**Standard 2 / Objective 2 Mastery Skills: Algebra**

Order Of Operations Simplify Expressions Compare equations using <, >, =, ≠ Variables

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Order of Operations Example Teach it Test ? Hyperlink: Game

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Simplify Expressions Example Teach it Test ? Hyperlink: Game

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Compare Equations Example Teach it Test ? Hyperlink: Game

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Variables Example Teach it Test ? Hyperlink: Game

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**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

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Associative Property Example Teach it Test ? Hyperlink: Game

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Commutative Property Example Teach it Test ? Hyperlink: Game

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**Distributive Property**

Example Teach it Test ? Hyperlink: Game

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Equation Example Teach it Test ? Hyperlink: Game

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Expression Example Teach it Test ? Hyperlink: Game

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Growing Pattern Example Teach it Test ? Hyperlink: Game

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Inequality Example Teach it Test ? Hyperlink: Game

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Order of Operation Example Teach it Test ? Hyperlink: Game

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Parentheses Example Teach it Test ? Hyperlink: Game

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**Zero property of Addition**

Example Teach it Test ? Hyperlink: Game

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**Zero Property of Multiplication**

Example Teach it Test ? Hyperlink: Game

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**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

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**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

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**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

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**Parallel, Perpendicular, Intersecting Lines**

Example Teach it Test ? Hyperlink: Game

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**Right, Acute, Obtuse, and Straight Lines**

Example Teach it Test ? Hyperlink: Game

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**Radius, Diameter of a Circle**

Example Teach it Test ? Hyperlink: Game

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Symmetry Shapes Lines of Symmetry Rotational Symmetry

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**Congruent vs. Similar shapes**

Example Teach it Test ? Hyperlink: Game

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**Standard 3 / Objective 2 Mastery Skills: Maps and Grids**

Coordinates Regions of Utah

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Coordinates Example Teach it Test ? Hyperlink: Game

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Regions of Utah Example Teach it Test ? Hyperlink: Game

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**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

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Transformations Example Teach it Test ? Hyperlink: Game

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Angles Example Teach it Test ? Hyperlink: Game

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**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

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Acute Angle Example Teach it Test ? Hyperlink: Game

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Circle Example Teach it Test ? Hyperlink: Game

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Coordinate Example Teach it Test ? Hyperlink: Game

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Degree Example Teach it Test ? Hyperlink: Game

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Diameter Example Teach it Test ? Hyperlink: Game

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First quadrant Example Teach it Test ? Hyperlink: Game

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Intersecting lines Example Teach it Test ? Hyperlink: Game

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Line symmetry Example Teach it Test ? Hyperlink: Game

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Obtuse Angle Example Teach it Test ? Hyperlink: Game

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Parallel Example Teach it Test ? Hyperlink: Game

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Perpendicular Example Teach it Test ? Hyperlink: Game

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Radius Example Teach it Test ? Hyperlink: Game

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Reflection Example Teach it Test ? Hyperlink: Game

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Right Angle Example Teach it Test ? Hyperlink: Game

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Rotation Example Teach it Test ? Hyperlink: Game

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Rotational Symmetry Example Teach it Test ? Hyperlink: Game

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Straight Angle Example Teach it Test ? Hyperlink: Game

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Translation Example Teach it Test ? Hyperlink: Game

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**Standard 3 Exploratory Concepts and Skills**

Analyze results of Transformations Relationships between two-dimension shapes and three-dimensional shapes

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**Standard 4 Mastery Skills Vocabulary Exploratory Concepts and Skills**

Objective 1: Measurement of Objects Objective 2: Measurement of Shapes Vocabulary Exploratory Concepts and Skills

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**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

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Metric Units Length Capacity Weight / Mass

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Length Example Teach it Test ? Hyperlink: Game

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Capacity Example Teach it Test ? Hyperlink: Game

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Weight / Mass Example Teach it Test ? Hyperlink: Game

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Customary Units Length Capacity Mass

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Length Example Teach it Test ? Hyperlink: Game

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Capacity Example Teach it Test ? Hyperlink: Game

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Weight / Mass Example Teach it Test ? Hyperlink: Game

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Angles Example Teach it Test ? Hyperlink: Game

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**Standard 4 / Objective 2 Mastery Skills: Measurement of Shapes**

Area of Rectangles Area of Right Triangles Relationships of Area Triangles Parallelograms Rectangles Perimeter

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Area of Rectangles Example Teach it Test ? Hyperlink: Game

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**Area of Right Triangles**

Example Teach it Test ? Hyperlink: Game

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Relationships of Area Example Teach it Test ? Hyperlink: Game

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Perimeter Example Teach it Test ? Hyperlink: Game

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**Standard 4 Vocabulary Area Centimeter Cup Gallon Gram Kilogram Liter**

Millimeter Milliliter Perimeter Pint Quart

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Area Example Teach it Test ? Hyperlink: Game

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Centimeter Example Teach it Test ? Hyperlink: Game

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Cup Example Teach it Test ? Hyperlink: Game

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Gallon Example Teach it Test ? Hyperlink: Game

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Gram Example Teach it Test ? Hyperlink: Game

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Kilogram Example Teach it Test ? Hyperlink: Game

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Liter Example Teach it Test ? Hyperlink: Game

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Meter Example Teach it Test ? Hyperlink: Game

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Millimeter Example Teach it Test ? Hyperlink: Game

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Milliliter Example Teach it Test ? Hyperlink: Game

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Perimeter Example Teach it Test ? Hyperlink: Game

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Pint Example Teach it Test ? Hyperlink: Game

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Quart Example Teach it Test ? Hyperlink: Game

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**Standard 4 Exploratory Concepts and Skills**

Investigate the relationships between perimeter and area: Squares Rectangles Parallelograms Triangles

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**Standard 5 Mastery Skills Vocabulary Exploratory Concepts and Skills**

Objective 1: Data Analysis Objective 2: Probability Vocabulary Exploratory Concepts and Skills

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**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

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Bar graphs Example Teach it Test ? Hyperlink: Game

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Line plots Example Teach it Test ? Hyperlink: Game

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

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Tables Example Teach it Test ? Hyperlink: Game

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Graphs Example Teach it Test ? Hyperlink: Game

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Surveys Example Teach it Test ? Hyperlink: Game

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Observations Example Teach it Test ? Hyperlink: Game

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Outliers Example Teach it Test ? Hyperlink: Game

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Clusters Example Teach it Test ? Hyperlink: Game

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**Standard 5 / Objective 2 Mastery Skills: Probability**

Random Outcomes as Ratios Simple Experiment With replacements Without replacements

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**Random Outcomes as Ratios**

Example Teach it Test ? Hyperlink: Game

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Simple Experiment With Replacements Without Replacements

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Standard 5 Vocabulary Cluster Data Frequency Table Outlier Probability

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Cluster Example Teach it Test ? Hyperlink: Game

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Data Example Teach it Test ? Hyperlink: Game

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Frequency Table Example Teach it Test ? Hyperlink: Game

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Outlier Example Teach it Test ? Hyperlink: Game

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Probability Example Teach it Test ? Hyperlink: Game

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**Standard 5 Exploratory Concepts and Skills**

Minimum and Maximum Values Mean Median Mode Range

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