4th Grade Math

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

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

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

Expanded Form Example Teach it Test ? Hyperlink: Game

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

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

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

Square Numbers Example Teach it Test ? Hyperlink: Game

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

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

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

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

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

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

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

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

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

Inverse Operations Example Teach it Test ? Hyperlink: Game

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

Add and Subtract Fractions Like Denominators Different Denominators

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

Estimate Example Teach it Test ? Hyperlink: Game

Mental Math Example Teach it Test ? Hyperlink: Game

Using a Calculator

Story Problems Strategies to Solve Story Problems

Multiplication Example Teach it Test ? Hyperlink: Game

Division Example Teach it Test ? Hyperlink: Game

Fractions Example Teach it Test ? Hyperlink: Game

Addition Example Teach it Test ? Hyperlink: Game

Subtraction Example Teach it Test ? Hyperlink: Game

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

Math Facts Example Teach it Test ? Hyperlink: Game

Multiplication Example Teach it Test ? Hyperlink: Game

Division Example Teach it Test ? Hyperlink: Game

Fraction Example Teach it Test ? Hyperlink: Game

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

Array Example Teach it Test ? Hyperlink: Game

Denominator Example Teach it Test ? Hyperlink: Game

Difference Example Teach it Test ? Hyperlink: Game

Dividend Example Teach it Test ? Hyperlink: Game

Divisor Example Teach it Test ? Hyperlink: Game

Equivalent Example Teach it Test ? Hyperlink: Game

Estimate Example Teach it Test ? Hyperlink: Game

Expanded Form Example Teach it Test ? Hyperlink: Game

Factor Example Teach it Test ? Hyperlink: Game

Inverse Example Teach it Test ? Hyperlink: Game

Multiple Example Teach it Test ? Hyperlink: Game

Numerator Example Teach it Test ? Hyperlink: Game

Operation Example Teach it Test ? Hyperlink: Game

Product Example Teach it Test ? Hyperlink: Game

Quotient Example Teach it Test ? Hyperlink: Game

Square Number Example Teach it Test ? Hyperlink: Game

Standard Form Example Teach it Test ? Hyperlink: Game

Sum Example Teach it Test ? Hyperlink: Game

Standard 1 Symbols < > = ≠

< Example Teach it Test ? Hyperlink: Game

> Example Teach it Test ? Hyperlink: Game

= Example Teach it Test ? Hyperlink: Game

≠ Example Teach it Test ? Hyperlink: Game

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

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

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

Patterns Example Teach it Test ? Hyperlink: Game

Real Life Patterns Example Teach it Test ? Hyperlink: Game

Multiply by Patterns Example Teach it Test ? Hyperlink: Game

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

Order of Operations Example Teach it Test ? Hyperlink: Game

Simplify Expressions Example Teach it Test ? Hyperlink: Game

Compare Equations Example Teach it Test ? Hyperlink: Game

Variables Example Teach it Test ? Hyperlink: Game

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

Associative Property Example Teach it Test ? Hyperlink: Game

Commutative Property Example Teach it Test ? Hyperlink: Game

Distributive Property Example Teach it Test ? Hyperlink: Game

Equation Example Teach it Test ? Hyperlink: Game

Expression Example Teach it Test ? Hyperlink: Game

Growing Pattern Example Teach it Test ? Hyperlink: Game

Inequality Example Teach it Test ? Hyperlink: Game

Order of Operation Example Teach it Test ? Hyperlink: Game

Parentheses Example Teach it Test ? Hyperlink: Game

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

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

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

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

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

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

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

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

Symmetry Shapes Lines of Symmetry Rotational Symmetry

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

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

Coordinates Example Teach it Test ? Hyperlink: Game

Regions of Utah Example Teach it Test ? Hyperlink: Game

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

Transformations Example Teach it Test ? Hyperlink: Game

Angles Example Teach it Test ? Hyperlink: Game

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

Acute Angle Example Teach it Test ? Hyperlink: Game

Circle Example Teach it Test ? Hyperlink: Game

Coordinate Example Teach it Test ? Hyperlink: Game

Degree Example Teach it Test ? Hyperlink: Game

Diameter Example Teach it Test ? Hyperlink: Game

First quadrant Example Teach it Test ? Hyperlink: Game

Intersecting lines Example Teach it Test ? Hyperlink: Game

Line symmetry Example Teach it Test ? Hyperlink: Game

Obtuse Angle Example Teach it Test ? Hyperlink: Game

Parallel Example Teach it Test ? Hyperlink: Game

Perpendicular Example Teach it Test ? Hyperlink: Game

Radius Example Teach it Test ? Hyperlink: Game

Reflection Example Teach it Test ? Hyperlink: Game

Right Angle Example Teach it Test ? Hyperlink: Game

Rotation Example Teach it Test ? Hyperlink: Game

Rotational Symmetry Example Teach it Test ? Hyperlink: Game

Straight Angle Example Teach it Test ? Hyperlink: Game

Translation Example Teach it Test ? Hyperlink: Game

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

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

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

Metric Units Length Capacity Weight / Mass

Length Example Teach it Test ? Hyperlink: Game

Capacity Example Teach it Test ? Hyperlink: Game

Weight / Mass Example Teach it Test ? Hyperlink: Game

Customary Units Length Capacity Mass

Length Example Teach it Test ? Hyperlink: Game

Capacity Example Teach it Test ? Hyperlink: Game

Weight / Mass Example Teach it Test ? Hyperlink: Game

Angles Example Teach it Test ? Hyperlink: Game

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

Area of Rectangles Example Teach it Test ? Hyperlink: Game

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

Relationships of Area Example Teach it Test ? Hyperlink: Game

Perimeter Example Teach it Test ? Hyperlink: Game

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

Area Example Teach it Test ? Hyperlink: Game

Centimeter Example Teach it Test ? Hyperlink: Game

Cup Example Teach it Test ? Hyperlink: Game

Gallon Example Teach it Test ? Hyperlink: Game

Gram Example Teach it Test ? Hyperlink: Game

Kilogram Example Teach it Test ? Hyperlink: Game

Liter Example Teach it Test ? Hyperlink: Game

Meter Example Teach it Test ? Hyperlink: Game

Millimeter Example Teach it Test ? Hyperlink: Game

Milliliter Example Teach it Test ? Hyperlink: Game

Perimeter Example Teach it Test ? Hyperlink: Game

Pint Example Teach it Test ? Hyperlink: Game

Quart Example Teach it Test ? Hyperlink: Game

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

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

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

Bar graphs Example Teach it Test ? Hyperlink: Game

Line plots Example Teach it Test ? Hyperlink: Game

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

Tables Example Teach it Test ? Hyperlink: Game

Graphs Example Teach it Test ? Hyperlink: Game

Surveys Example Teach it Test ? Hyperlink: Game

Observations Example Teach it Test ? Hyperlink: Game

Outliers Example Teach it Test ? Hyperlink: Game

Clusters Example Teach it Test ? Hyperlink: Game

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

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

Simple Experiment With Replacements Without Replacements

Standard 5 Vocabulary Cluster Data Frequency Table Outlier Probability

Cluster Example Teach it Test ? Hyperlink: Game

Data Example Teach it Test ? Hyperlink: Game

Frequency Table Example Teach it Test ? Hyperlink: Game

Outlier Example Teach it Test ? Hyperlink: Game

Probability Example Teach it Test ? Hyperlink: Game

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