powerpoint presentation...problem solving step 1: understand what do i know?;lex hs - riih xs ýrh...

3-5

MATH TOOL KIT

OVERVIEW ..........................................................................................................................

MATH TOOL KIT LABELS ..............................................................................................

MATH TALK STEMS .........................................................................................................

NUMBER AND OPERATIONSPROBLEM SOLVING STEPS ..................................................................................................

NUMERAL CARDS .................................................................................................................

NUMERAL CUBES .................................................................................................................

0-200 CHART .........................................................................................................................

EMPTY NUMBER LINE ..........................................................................................................

WHAT’S MY RULE? ................................................................................................................

ARRAY MAKER ......................................................................................................................

MULTIPLICATION TABLES & CHARTS10 X 10 TABLE .............................................................................................................................10 X 10 BLANK TABLE ..................................................................................................................12 X 20 TABLE .............................................................................................................................MULTIPLES .................................................................................................................................SINGLE FACTOR CHARTS .............................................................................................................

MULTIPLICATION TRIANGLES ............................................................................................

MULTIPLICATION WHEELS .................................................................................................

USEFUL FACTS FOR PARTIAL QUOTIENTS ......................................................................

BASE TEN GRID PAPER ........................................................................................................

POWERS OF TEN ..................................................................................................................

PLACE VALUE MATSHUNDREDS / TENS / ONES ..........................................................................................................ONES / TENTHS / HUNDREDTHS ...................................................................................................

PLACE VALUE CHARTSTO HUNDRED THOUSANDS ........................................................................................................TO HUNDRED MILLIONS .............................................................................................................TO HUNDREDTHS.....................................................................................................................TO THOUSANDTHS.....................................................................................................................

PLACE VALUE GRID90,000—0.09 ...............................................................................................................................90,000—0.009 ..............................................................................................................................

DECIMAL PLACE VALUEWHOLE / TENTH / HUNDREDTH ....................................................................................................WHOLE / TENTH / HUNDREDTH / THOUSANDTH ............................................................................

DECIMAL SQUARES .............................................................................................................

DECIMAL CHARTSTENTHS .....................................................................................................................................HUNDREDTHS ............................................................................................................................

TABLE OF CONTENTS

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COMPARING DECIMALSTO HUNDREDTHS .......................................................................................................................TO THOUSANDTHS .....................................................................................................................

ROUNDING DECIMALSNEAREST WHOLE NUMBER ..........................................................................................................NEAREST TENTH .........................................................................................................................NEAREST HUNDREDTH ...............................................................................................................

MULTIPLYING DECIMALS ....................................................................................................

FRACTION CIRCLES .............................................................................................................

FRACTION SQUARES ...........................................................................................................

FRACTION BARSLABELED ....................................................................................................................................UNLABELED ...............................................................................................................................TO EIGHTHS ...............................................................................................................................TO TWELFTHS ............................................................................................................................

FRACTION NUMBER LINESTO EIGHTHS ...............................................................................................................................TO TWELFTHS ............................................................................................................................COMPARING FRACTIONS ............................................................................................................FRACTION / DECIMAL NUMBER LINE ............................................................................................

FRACTION CARDSSQUARE ....................................................................................................................................CIRCULAR ..................................................................................................................................

MEASUREMENT AND DATACLOCKFACES ........................................................................................................................

24 HOUR NUMBER LINE .....................................................................................................

6 INCH RULERSINCH MARKINGS ........................................................................................................................HALF-INCH MARKINGS ...............................................................................................................

METRIC SYSTEM ..................................................................................................................

U.S. CUSTOMARY SYSTEM ................................................................................................

CAPACITY CONVERSIONS ................................................................................................

UNITS OF TIME ....................................................................................................................

BAR GRAPH PAPER .............................................................................................................

PICTURE GRAPH PAPER .....................................................................................................

INCH GRID PAPER ...............................................................................................................

HALF-INCH GRID PAPER ....................................................................................................

CENTIMETER GRID PAPER .................................................................................................

GEOMETRYVENN DIAGRAM2 CIRCLE ...................................................................................................................................

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3 CIRCLE ..................................................................................................................................

GEOBOARD PAPER10 X 10 DOTS ...........................................................................................................................CIRCULAR ................................................................................................................................

DOT PAPER (SQUARE) .......................................................................................................

TANGRAM ............................................................................................................................

LINES, RAYS & LINE SEGMENTS .......................................................................................

ANGLES ................................................................................................................................

QUADRILATERALSHIERARCHY ..............................................................................................................................PROPERTIES .............................................................................................................................

TRIANGLES CLASSIFICATION ..........................................................................................

REGULAR POLYGONS .......................................................................................................

QUADRILATERALS PACK ...................................................................................................

TRIANGLES PACK ...............................................................................................................

COORDINATE PLANEQUADRANT 1 ...........................................................................................................................ALL QUADRANTS ......................................................................................................................

SHOW YOUR MATH THINKING PAPER ..............................................................

USER LICENSE ................................................................................................................

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OVERVIEW ..........................................................................................................................


MATH TALK STEMS .........................................................................................................


NUMERAL CARDS .................................................................................................................

NUMERAL CUBES .................................................................................................................

0-200 CHART .........................................................................................................................


WHAT’S MY RULE? ................................................................................................................

ARRAY MAKER ......................................................................................................................






POWERS OF TEN ..................................................................................................................



PLACE VALUE GRID90,000—0.09 ...............................................................................................................................90,000—0.009 ..............................................................................................................................


DECIMAL SQUARES .............................................................................................................


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24 HOUR NUMBER LINE .....................................................................................................


METRIC SYSTEM ..................................................................................................................



UNITS OF TIME ....................................................................................................................

BAR GRAPH PAPER .............................................................................................................


INCH GRID PAPER ...............................................................................................................




TABLE OF CONTENTS (cont.)

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3 CIRCLE ..................................................................................................................................


DOT PAPER (SQUARE) .......................................................................................................

TANGRAM ............................................................................................................................


ANGLES ................................................................................................................................





TRIANGLES PACK ...............................................................................................................



USER LICENSE ................................................................................................................

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OVERVIEW ..........................................................................................................................


MATH TALK STEMS .........................................................................................................


NUMERAL CARDS .................................................................................................................

NUMERAL CUBES .................................................................................................................

0-200 CHART .........................................................................................................................


WHAT’S MY RULE? ................................................................................................................

ARRAY MAKER ......................................................................................................................






POWERS OF TEN ..................................................................................................................



PLACE VALUE GRID90,000—0.09 ...............................................................................................................................90,000—0.009 ..............................................................................................................................


DECIMAL SQUARES .............................................................................................................


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24 HOUR NUMBER LINE .....................................................................................................


METRIC SYSTEM ..................................................................................................................



UNITS OF TIME ....................................................................................................................

BAR GRAPH PAPER .............................................................................................................


INCH GRID PAPER ...............................................................................................................




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3 CIRCLE ..................................................................................................................................


DOT PAPER (SQUARE) .......................................................................................................

TANGRAM ............................................................................................................................


ANGLES ................................................................................................................................





TRIANGLES PACK ...............................................................................................................



USER LICENSE ................................................................................................................

TABLE OF CONTENTS (cont.)

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Printing Tip: Computer and printer settings may affect the size accuracy of some pages (e.g. rulers, cm, inch and half-inch grid paper). In order to avoid this issue be sure to disable any options such as fit to printable area.

MY MATH TOOL KIT

The Common Core State Standards for Mathematical Practice describe eight habits of mind teachers must incorporate into classroom instruction to develop depth of understanding of critical mathematical concepts in their students. Mathematical Practice 5 states that mathematically proficient students use appropriate tools strategically. Students should consider the available tools when solving a mathematical problem and decide which tools might be helpful. In K-2 students should begin with physical objects (manipulatives) before moving to drawings and diagrams (number lines, number grids etc.), paper and pencil and other available technologies.

This file contains tools suitable for use in K-2 classrooms. Select the tools best suited to your grade level to allow students to make choices as they represent -

-

-

-

-care of their tools.

Other possible items to include in kit:

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-

-

-

GRADES 3-5 MATH TOOL KITThe Common Core State Standards for Mathematical Practice describe eight habits of mind teachers must incorporate into classroom instruction to develop depth of understanding of critical mathematical concepts in their students. Mathematical Practice 5 states that mathematically proficient studentsuse appropriate tools strategically. Students should consider the available tools when solving a mathematical problem and decide which tools might be helpful.

This file contains tools suitable for use in Grades 3-5 classrooms. Select the tools best suited to your grade level to allow students to make choices as they represent and explore math ideas.

Tips:Gradually introduce new tools one at a time and model how to use them.

Copy tools on cardstock and laminate to ensure longevity.

Store tools in durable storage bags, plastic boxes or large envelopes pasted on the inside of the backcover of students’ notebooks.

Place mini charts on a ring in the tool kit or have students paste them into their notebooks.

If you decide to use storage bags or plastic boxes to store tools be sure to number each kit and havestudents number the back of each tool with a matching number so that misplaced tools can be easily returned.

Other possible items to include in kit:Dry-erase marker and eraser

Dice and counters for playing math games

Protractor (Grades 4 - 5)

6 inch ruler

Pencil boxes or durable storage bags are ideal for storing math tools.

Math Tool Kit

Math Tool Kit

Math Tool Kit

Math Tool Kit

© K-5MathTeachingResources

Problem Solving

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Problem Solving

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TO EXPLAINMy solution is…

To solve the problem I...My first step was…

To represent my thinking I…I checked my work by…

I know the answer is reasonable because...

TO REASONI agree with/that...

I respectfully disagree because…

I see it differently because...

My strategy was similar/different, I…

TO ADD ONI also noticed…

I’d like to add on...

I think what ___ means is...

Another possible strategy is…

An example of that is...

TO CLARIFYCan you explain why you/how you…

I have a question about...

I’m still not sure about...

What did you mean by…

Can you be more specific about...

TO REVISEI revised my thinking because…

TO CONNECTI think this problem is similar to…

Your strategy reminds me of…

I think ___ and ___’s strategies are similar because…

I think ___ and ___’s models are similar because…

MATH TALK STEMS

TO RESTATESo, what you are saying is…

In other words, you…

TO INQUIREWhat do you think?

What strategy did you use?

Do you have something to add on/share?

TO EXPLAINMy solution is…

To solve the problem I...My first step was…

To represent my thinking I…I checked my work by…

I know the answer is reasonable because...

TO REASONI agree with/that...

I respectfully disagree because…

I see it differently because...

My strategy was similar/different, I…

TO ADD ONI also noticed…

I’d like to add on...

I think what ___ means is...

Another possible strategy is…

An example of that is...

TO CLARIFYCan you explain why you/how you…

I have a question about...

I’m still not sure about...

What did you mean by…

Can you be more specific about...

TO REVISEI revised my thinking because…

TO CONNECTI think this problem is similar to…

Your strategy reminds me of…

I think ___ and ___’s strategies are similar because…

I think ___ and ___’s models are similar because…

MATH TALK STEMS

TO RESTATESo, what you are saying is…

In other words, you…

TO INQUIREWhat do you think?

What strategy did you use?

Do you have something to add on/share?

© K-5 Math Teaching Resources

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Numeral Cards

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0

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31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110

111 112 113 114 115 116 117 118 119 120

121 122 123 124 125 126 127 128 129 130

131 132 133 134 135 136 137 138 139 140

141 142 143 144 145 146 147 148 149 150

151 152 153 154 155 156 157 158 159 160

161 162 163 164 165 166 167 168 169 170

171 172 173 174 175 176 177 178 179 180

181 182 183 184 185 186 187 188 189 190

191 192 193 194 195 196 197 198 199 200


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Empty Number Lines


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Rule

WHAT’S MY RULE?

WHAT’S MY RULE?

Rule


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Multiplication Table Multiplication Table


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MULTIPLICATION CHART (12 x 20)

MULTIPLICATION CHART (12 x 20)


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X , ÷X , ÷

___ x ___ = ___

___ x ___ = ___

___ ÷ ___ = ___

___ ÷ ___ = ___

___ x ___ = ___

___ x ___ = ___

___ ÷ ___ = ___

___ ÷ ___ = ___


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x 1 2 3 4 5 6 7 8 9 10

20 20 40 60 80 100 120 140 160 180 200

50 50 100 150 200 250 300 350 400 450 500

100 100 200 300 400 500 600 700 800 900 1,000

125 125 250 375 500 625 750 875 1,000 1,125 1,250

250 250 500 750 1,000 1,250 1,500 1,750 2,000 2,250 2,500

500 500 1,000 1,500 2,000 2,500 3,000 3,500 4000 4,500 5,000

1,000 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 10,000

USEFUL FACTS FOR PARTIAL QUOTIENTS

USEFUL FACTS FOR PARTIAL QUOTIENTS

x 1 2 3 4 5 6 7 8 9 10

20 20 40 60 80 100 120 140 160 180 200

50 50 100 150 200 250 300 350 400 450 500

100 100 200 300 400 500 600 700 800 900 1,000

125 125 250 375 500 625 750 875 1,000 1,125 1,250

250 250 500 750 1,000 1,250 1,500 1,750 2,000 2,250 2,500

500 500 1,000 1,500 2,000 2,500 3,000 3,500 4000 4,500 5,000

1,000 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 10,000


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Powers of 10

Standard Notation Product of 10s Exponential Notation

10

100

1,000 (1 thousand)

10,000

100,000

1,000,000 (1 million)

10,000,000

100,000,000

1,000,000,000 (1 billion)

10

10 x 10

10 x 10 x 10

10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

Powers of 10

Standard Notation Product of 10s Exponential Notation

10

100

1,000 (1 thousand)

10,000

100,000

1,000,000 (1 million)

10,000,000

100,000,000

1,000,000,000 (1 billion)

10

10 x 10

10 x 10 x 10

10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹


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Hundreds Tens Ones


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Ones Tenths Hundredths


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DECIMAL PLACE VALUE

WHOLE TENTHS HUNDREDTHS

DECIMAL PLACE VALUE

WHOLE TENTHS HUNDREDTHS


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DECIMAL PLACE VALUE

WHOLE TENTHS HUNDREDTHS THOUSANDTHS

DECIMAL PLACE VALUE

WHOLE TENTHS HUNDREDTHS THOUSANDTHS


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, , ,

, , ,

Mill

ions

Hundre

d T

housands

Ten T

housands

Thousands

Hu

nd

reds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousandth

s

__________________ __________________

COMPARING DECIMALS

COMPARING DECIMALS

__________________ __________________

, , ,

, , ,

Mill

ions

Hundre

d T

housands

Ten T

housands

Th

ousands

Hundre

ds

Tens

Ones

Tenth

s

Hundre

dth

s

Thousandth

s


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FRACTIONSQUARES


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______________________ ______________________

______________________ ______________________


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Half Gallon Half Gallon

Quart Quart Quart Quart

Pint

Half Gallon Half Gallon

Half Gallon Half Gallon Half Gallon Half Gallon

Gallon Gallon

Gallon Gallon

Quart Quart Quart Quart

Quart Quart Quart QuartQuart Quart Quart Quart

Pint Pint Pint Pint Pint Pint PintPintPintPintPintPintPintPintPint

Cu

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Pint Pint PintPint Pint Pint Pint PintPint Pint Pint Pint PintPint Pint Pint

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p

Cu

p

Cu

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p

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Units of Time

1 minute = 60 seconds1 hour = 60 minutes1 day = 24 hours1 week = 7 days1 month = 28, 29, 30, or 31 days1 year = 12 months

= 52 weeks= 365 days (366 days in a leap year)

1 decade = 10 years1 century = 100 years1 millennium= 1,000 years

Units of Time




Units of Time




Units of Time





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Line: a straight path

that extends in opposite

directions without ending

Ray: a straight path that

goes on forever in one

direction from an endpoint

Line segment: part of a

line between two endpoints

Parallel lines: never meet,

always the same distance

apart

Intersecting lines: meet

or cross each other

Line: a straight path

that extends in opposite

directions without ending

Ray: a straight path that

goes on forever in one

direction from an endpoint

Line segment: part of a

line between two endpoints

Parallel lines: never meet,

always the same distance

apart

Intersecting lines: meet

or cross each other

Perpendicular lines: meet

or cross to form right angles

Perpendicular lines: meet

or cross to form right angles

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powerpoint presentation...problem solving step 1: understand what do i know?;lex hs - riih xs ýrh...

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