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4 th Grade Math
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4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Dec 24, 2015

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Page 1: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

4th Grade Math

Page 2: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standards

• 1 – Number Sense and Operations

• 2 – Patterns and Relationships

• 3 – Geometry

• 4 – Measurement

• 5 – Data and Probability

Page 3: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1

• Mastery Skills– Objective 1: Number Sense– Objective 2: Number Sense– Objective 3: Operations– Objective 4: Strategies– Objective 5: Operations

• Vocabulary• Symbols• Exploratory Concepts and Skills

Page 4: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1 / Objective 1Mastery 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

Page 5: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Expanded Form

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 6: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Multiple Ways to Represent Whole Numbers

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 7: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Place and Value of Digits in a 6-digit numeral including decimals to the tenths

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 8: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Fractions (1/2, 1/3, ¼, 1/5, 1/6, 1/8, 1/10)

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 9: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Square Numbers

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 10: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1 / Objective 2Mastery 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

Page 11: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Compare and Order Numbers Relative to Size

• Number line• Model

• Example• Teach it• Test ?• Hyperlink: Game

Page 12: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Compare and Order Fractions and Decimals

• Number Line

• Model

• Example• Teach it• Test ?• Hyperlink: Game

Page 13: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Identify Number Between Given Digits

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 14: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Identify Equivalent Fractions and Decimals

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 15: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Generate Equivalent Fractions and Decimals

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 16: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1 / Objective 3Mastery 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

http://images.google.com/imgres?imgurl=http://www.mathnstuff.com/math/spoken/here/2class/60/multstr.gif&imgrefurl=http://www.mathnstuff.com/math/spoken/here/1words/p/p38.htm&h=677&w=595&sz=110&hl=en&sig2=kywkEnkkSnSoPV2aTDzVMA&start=6&um=1&tbnid=91DeJzYNUJxM5M:&tbnh=139&tbnw=122&ei=SSgMRpv5M4raqgPh2MH3BQ&prev=/images%3Fq%3Dtimes%2Btables%26svnum%3D10%26um%3D1%26hl%3Den%26safe%3Dactive%26rls%3Dcom.microsoft:en-us:IE-SearchBox%26rlz%3D1I7GGLR
Page 17: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Multiplication (_ _ x _ _)

• Groups

• Array

• area model

• equal intervals on a number line

Page 18: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Factoring using an Array

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 19: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Inverse Operations

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 20: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

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

Rectangular Array

Manipulatives

Pictures

Algorithms

Page 21: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Add and Subtract Fractions

Like Denominators

Different Denominators

Page 22: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1 / Objective 4Mastery Skills: Strategies

• Estimate• Mental Math• Using a Calculator• Story Problems

– Multiplication– Division– Fractions– Addition– Subtraction

Page 23: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Estimate

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 24: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Mental Math

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 25: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Using a Calculator

Page 26: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Story Problems

• Strategies to Solve Story Problems

Page 27: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Multiplication

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 28: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Division

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 29: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Fractions

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 30: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Addition

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 31: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Subtraction

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 32: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1 / Objective 5Mastery Skills: Operations

• Math Facts– Multiplication– Division

• Multiplication: _ _ _ x _ _

• Division: _ _ _ ÷ _

• Fractions: _ / _ +- _ / _

Page 33: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Math Facts

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 34: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Multiplication

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 35: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Division

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 36: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Fraction

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 37: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1 Vocabulary

• Array• Denominator• Difference• Dividend• Divisor• Equivalent• Estimate• Expanded Form• Factor

• Inverse• Multiple• Numerator• Operation• Product• Quotient• Square Number• Standard Form• Sum

Page 38: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Array

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 39: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Denominator

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 40: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Difference

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 41: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Dividend

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 42: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Divisor

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 43: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Equivalent

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 44: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Estimate

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 45: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Expanded Form

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 46: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Factor

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 47: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Inverse

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 48: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Multiple

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 49: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Numerator

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 50: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Operation

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 51: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Product

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 52: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Quotient

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 53: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Square Number

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 54: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard Form

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 55: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Sum

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 56: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1Symbols

<

>

=

≠

Page 57: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

<

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 58: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

>

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 59: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

=

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 60: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

≠

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 61: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 1Exploratory Concept and Skills

• Add and Subtract Decimals

• Numbers Less Than 0

• Ratio

Page 62: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 2

• Mastery Skills– Objective 1: Patterns– Objective 2: Algebra

• Vocabulary

• Exploratory Concepts and Skills

Page 63: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 2 / Objective 1Mastery Skills: Patterns

• Patterns: Determine Rule and Extend– Objects– Pictures– Numbers– Tables

• Real Life Patterns

• Multiply by Patterns

Page 64: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Patterns

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 65: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Real Life Patterns

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 66: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Multiply by Patterns

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 67: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 2 / Objective 2Mastery Skills: Algebra

• Order Of Operations

• Simplify Expressions

• Compare equations using <, >, =, ≠

• Variables

Page 68: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Order of Operations

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 69: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Simplify Expressions

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 70: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Compare Equations

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 71: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Variables

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 72: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

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

Page 73: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Associative Property

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 74: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Commutative Property

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 75: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Distributive Property

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 76: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Equation

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 77: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Expression

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 78: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Growing Pattern

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 79: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Inequality

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 80: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Order of Operation

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 81: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Parentheses

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 82: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Zero property of Addition

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 83: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Zero Property of Multiplication

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 84: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

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

Page 85: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 3

• Mastery Skills– Objective 1: Geometric Attributes– Objective 2: Maps and Grids– Objective 3: Transformations

• Vocabulary

• Exploratory Concepts and Skills

Page 86: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 3 / Objective 1Mastery 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

Page 87: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Parallel, Perpendicular, Intersecting Lines

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 88: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Right, Acute, Obtuse, and Straight Lines

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 89: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Radius, Diameter of a Circle

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 90: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Symmetry

• Shapes

• Lines of Symmetry

• Rotational Symmetry

Page 91: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Congruent vs. Similar shapes

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 92: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 3 / Objective 2Mastery Skills: Maps and Grids

• Coordinates

• Regions of Utah

Page 93: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Coordinates

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 94: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Regions of Utah

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 95: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 3 / Objective 3Mastery Skills: Transformations

• Transformations– Translation (slide)– Rotation (turn)– Reflection (flip)

• Angles– 90° = ¼ turn– 180° = ½ turn– 270° = ¾ turn– 360° = full turn

Page 96: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Transformations

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 97: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Angles

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 98: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 3Vocabulary

• 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

Page 99: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Acute Angle

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 100: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Circle

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 101: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Coordinate

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 102: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Degree

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 103: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Diameter

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 104: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

First quadrant

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 105: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Intersecting lines

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 106: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Line symmetry

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 107: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Obtuse Angle

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 108: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Parallel

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 109: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Perpendicular

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 110: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Radius

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 111: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Reflection

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 112: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Right Angle

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 113: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Rotation

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 114: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Rotational Symmetry

• Example

• Teach it

• Test ?

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Page 115: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Straight Angle

• Example

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• Test ?

• Hyperlink: Game

Page 116: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Translation

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 117: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 3Exploratory Concepts and Skills

• Analyze results of Transformations

• Relationships between two-dimension shapes and three-dimensional shapes

Page 118: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 4

– Mastery Skills• Objective 1: Measurement of Objects• Objective 2: Measurement of Shapes

– Vocabulary– Exploratory Concepts and Skills

Page 119: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 4 / Objective 1Mastery Skills: Measurement of Objects

• Metric units: Measure, Identify, and Estimate– Length– Capacity– Weight

• Customary Units: Measure, Identify, and Estimate– Length– Capacity– Weight

• Angles: Measure and Estimate

Page 120: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Metric Units

• Length

• Capacity

• Weight / Mass

Page 121: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Length

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 122: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Capacity

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 123: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Weight / Mass

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 124: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Customary Units

• Length

• Capacity

• Mass

Page 125: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Length

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 126: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Capacity

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 127: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Weight / Mass

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 128: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Angles

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 129: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 4 / Objective 2Mastery Skills: Measurement of Shapes

• Area of Rectangles

• Area of Right Triangles

• Relationships of Area– Triangles– Parallelograms– Rectangles

• Perimeter

Page 130: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Area of Rectangles

• Example

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• Test ?

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Page 131: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Area of Right Triangles

• Example

• Teach it

• Test ?

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Page 132: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Relationships of Area

• Example

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• Test ?

• Hyperlink: Game

Page 133: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Perimeter

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 134: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 4Vocabulary

• Area• Centimeter• Cup• Gallon• Gram• Kilogram• Liter

• Meter• Millimeter• Milliliter• Perimeter• Pint• Quart

Page 135: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Area

• Example

• Teach it

• Test ?

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Page 136: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Centimeter

• Example

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Page 137: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Cup

• Example

• Teach it

• Test ?

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Page 138: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Gallon

• Example

• Teach it

• Test ?

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Page 139: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Gram

• Example

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• Test ?

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Page 140: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Kilogram

• Example

• Teach it

• Test ?

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Page 141: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Liter

• Example

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• Test ?

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Page 142: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Meter

• Example

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Page 143: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Millimeter

• Example

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• Test ?

• Hyperlink: Game

Page 144: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Milliliter

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 145: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Perimeter

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 146: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Pint

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 147: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Quart

• Example

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• Test ?

• Hyperlink: Game

Page 148: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 4Exploratory Concepts and Skills

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

Page 149: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 5

• Mastery Skills– Objective 1: Data Analysis– Objective 2: Probability

• Vocabulary

• Exploratory Concepts and Skills

Page 150: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 5 / Objective 1Mastery 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

Page 151: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Bar graphs

• Example

• Teach it

• Test ?

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Page 152: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Line plots

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 153: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Stem and Leaf Plots

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 154: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Tables

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 155: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Graphs

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 156: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Surveys

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 157: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Observations

• Example

• Teach it

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Page 158: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Outliers

• Example

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• Test ?

• Hyperlink: Game

Page 159: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Clusters

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 160: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 5 / Objective 2Mastery Skills: Probability

• Random Outcomes as Ratios

• Simple Experiment– With replacements– Without replacements

Page 161: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Random Outcomes as Ratios

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 162: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Simple Experiment

• With Replacements

• Without Replacements

Page 163: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 5Vocabulary

• Cluster

• Data

• Frequency Table

• Outlier

• Probability

Page 164: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Cluster

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 165: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Data

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 166: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Frequency Table

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 167: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Outlier

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 168: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Probability

• Example

• Teach it

• Test ?

• Hyperlink: Game

Page 169: 4 th Grade Math. Standards 1 – Number Sense and Operations1 – Number Sense and Operations 2 – Patterns and Relationships2 – Patterns and Relationships.

Standard 5Exploratory Concepts and Skills

• Minimum and Maximum Values

• Mean

• Median

• Mode

• Range


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