Math Resource File

Amber Pryor 5/6/2013

Teaching Integrated Math

Table of Contents

General Annotated List of Children’s Books ____

Bulletin Board Ideas ____

1. It Makes Cents

2. March Madness Probability

Numbers and Operations Hands-on, Interactive, Integrated Activities ____

1. I Have… Who Has… Fractions

2. Pizza Party

3. Fractionpillar

Worksheets ____

1. Number of the Day

2. Fraction Avenue

3. Fun Fractions with M&Ms

Annotated Internet Sites ____

1. Fractions on a Number Line / Math Man

2. Least Common Denominator / Shoot Game

3. Number Cop

Algebraic Relationships Hands-on, Interactive, Integrated Activities ____

1. It’s All Relative

2. Pattern Recreating

3. Magic Pot

Worksheets ____

1. Number Sequences

2. Numerical Expressions

3. Comparing Expressions

4. Tables Rule!

Annotated Internet Sites ____

1. Fun Brain / Math Arcade

2. Fly Graph

3. Number Cracker

Geometry and Spatial Relationships Hands-on, Interactive, Integrated Activities ____

1. Magazine Shapes

2. Understanding Area

3. Geometry Monster Glyph

Worksheets ____

1. Angles, Shapes, and Parallel Lines

2. Pirate Geometry

3. Butterfly Symmetry

Annotated Internet Sites ____

1. Symmetric Shape Shoot

2. Ice Blocker

3. 2-D Shapes Jeopardy

Measurement Hands-on, Interactive, Integrated Activities ____

1. The Cost of Words

2. Coins Tic-Tac-Toe

3. I Have, Who Has?

Worksheets ____

1. Measure Around the Room

2-5. Measurement Pirates

Annotated Internet Sites ____

1. Stop the Clock

2. Perfect Postage

3. Thermo Quiz

Data and Probability Hands-on, Interactive, Integrated Activities ____

1. Probability Jeopardy

2. Probability Spinners

3. Probability Task Cards

Worksheets ____

1. The Probability Line

2. Probability Balls

3. Probability Fun

Annotated Internet Sites ____

1. Probability Fair

2. Fire!

3. Spread of Disease

Children’s Books

#1 No Fair! Author: Caren Holtzman

Copyright date: 1997

Summary: Fairness in games is illustrated by two children.

Classroom use: Have students discuss the fairness of different games and the strategies

people use to win. Have students design a game that would not be fair to all players. Then

have them design a game that would be fair to all.

Grade level: 3-4

#2 Anno's Magic Seeds Author: Mitsumasa Anno

Copyright date: 1995

Summary: Two magic seeds are given to a young man. When a seed is buried, it

produces two seeds the following year. A variety of patterns are explored in this book.

Classroom use: Have children keep a record of the number of seeds Jack plants and

picks each year throughout the story. This information can be graphed.

Grade level: 2-4

#3 How Big Were the Dinosaurs? Author: Bernard Most

Copyright date: 1994

Summary: Twenty different dinosaurs are introduced, with their sizes compared to

modern day objects.

Classroom use: Have students make comparisons of themselves and everyday objects to

the size of a dinosaur. For instance, how many baseball bats would need to be laid end to

end to be equal to the length of a student’s favorite dinosaur?

Grade level: 2-3

#4 Pigs Will Be Pigs Author: Amy Axelrod

Copyright date: 1994

Summary: Before the pigs can go to dinner, they must search the house for money.

Classroom use: Bring in menus from local restaurants. Have students try to take their

whole family to dinner on the amount of money the pigs had to spend.

Grade level: 3-5

#5 Even Steven and Odd Todd Author: Kathryn Christaldi

Copyright date: 1996

Summary: Steven only likes even things and Todd only likes odd things.

Classroom use: Have students generate numbers and classify them as even or odd,

providing an illustration to justify their classification.

Grade level: 1-2

General Bulletin Board Idea #1: It Makes Cents

Grade Level: 1-3

Explanation: Post on a bulletin board empty packages of familiar food or other

household items, along with a price tag. Give each student, pair of students, or small

group of students one package/price. Have them use paper “coins” to represent the cost of

the item, and post them on the board as well.

Variation: I could bring out a new item each day or once a week, have small groups

figure out how many ways they can use coins and/or bills to show the cost, and then I

choose one method to post on the board.

Source: www.pinterest.com

General Bulletin Board Idea #2: March Madness Probability

Grade Level: 4-6

Explanation: During March Madness would be a perfect time to teach probability

through the use of a basketball bracket. A large bracket such as the one pictured above

would be created on a bulletin board. We would start by placing the names of all

participating schools on their appropriate lines on the outermost brackets. Students will

figure the probability for each of those schools to win each of the next steps in the

bracket. As games are played throughout the month of March, we will update the bracket,

and refigure the probability for each remaining team to win. An extension of this lesson

could utilize the numbers of total points earned in a game, players’ scoring averages,

number of points each type of shot is worth, etc.

Source: http://growingupgabel.com/free-basketball-tournament-bracket-printable/

Numbers and Operations Activity #1: I Have… Who Has… Fractions

Grade Level: 3rd

Explanation: (See example cards above.) Each student is given a card that represents an

“I Have…” fraction, as well as a “Who Has…” fraction. The student with the Start card

begins the game by saying “I have Start. Who has ¼?” The students must be able to

accurately see what fraction is represented on their card in order to answer that question.

The game continues until the End card is reached.

Source: http://thirdgradeisahoot.blogspot.com

Numbers and Operations Activity #2: Pizza Party

Grade Level: 3rd

Explanation: Create 6 different “pizzas” out

of cardboard and paper supplies. Students will

form small groups and rotate among the pizzas,

filling out the accompanying worksheet.

Students will determine the fraction

represented by each topping type on each

pizza.

Source: http://thirdgradeisahoot.blogspot.com

Numbers and Operations Activity #3: Fractionpillar

Grade Level: 3rd

Explanation: Give each student a piece of yellow construction paper, an assortment of

colored pom-poms, a stat sheet, scissors, glue stick, and markers. Students will cut out

and glue their stat sheet to the bottom half of their page. Next they will create a color

pattern with pom-poms in the shape of a caterpillar, using three different colors. Markers

may be used to fill in the background. The final step is to record on the stats sheet how

many of each color are represented. The students will then represent that number as a

fraction.

Source: http://thirdgradeisahoot.blogspot.com

Numbers and Operations Worksheets

#1 Number of the Day Explanation: (See worksheet to follow.) I will create a booklet for each student filled

with a copy of the Number of the Day worksheet for each day of the school year. Each

day, I will assign a different 3-digit number. The students will use this number and the

math skills we have been using in class to complete their worksheet. It will review things

like: odd/even, place value, expanded form, word form, money, etc.

Grade Level: 1-4

Source: http://thirdgradeisahoot.blogspot.com

#2 Fraction Avenue Explanation: (See instruction sheet and worksheet to follow.) Each student will be given

a blank street map worksheet, and one set of directions per table will be posted. Students

are to use the fractional information given to complete their map. For example, they must

draw trees in the front yard of ½ of the houses, and red doors on 3/8 of the homes.

Grade Level: 3rd

Source: http://thirdgradeisahoot.blogspot.com

#3 Fun Fractions with M&Ms Grade Level: 3rd

Explanation: (See 2-page worksheet to follow.) Pass out a fun-size packet of M&Ms to

each student. (Variation: use a regular sized bag and have students work in small groups.)

Students will follow the steps on the worksheets, answering questions and displaying

fractions that represent the colors of the M&Ms.

Source: TeachersPayTeachers.com by Felisa Williams

Numbers and Operations Internet Sites

#1 Fractions on a Number Line / Math Man Explanation: This game is set up like Pac-Man. Students will use the four directional

arrows on the keyboard to move their “Math Man.” A number line is shown with a place

marker on a certain spot. The student must determine what fraction is represented on the

number line, find the “ghost” that holds that fraction, and navigate through the maze to

“eat” it.

Grade level: 3-5

Website: http://www.sheppardsoftware.com/mathgames/fractions/mathman_fractions_numberline.

htm

#2 Least Common Denominator / Shoot Game Explanation: Using a mouse, a Promethean board pen, or your finger on a SmartBoard, a

student will “shoot” the least common denominator of two given fractions. The potential

answers move around constantly, and the game is timed.

Grade level: 4-6

Website:

http://www.sheppardsoftware.com/mathgames/fractions/LeastCommonDenomimator.htm

#3 Number Cop Explanation: The student player is represented as a cop car driving down a three-lane

highway. Students may choose a number between 2 and 9, and choose a level of

difficulty. As the cop car drives down the road, numbers appear as obstacles in the road.

The object is to run “through” the numbers which are multiples of the number you chose,

but to avoid numbers which are not multiples. The left and right arrows are used to

navigate the highway.

Grade level: 3-4

Website:

http://hotmath.com/hotmath_help/games/numbercop/numbercop_hotmath.swf

Algebraic Relationships Activities

#1 It’s All Relative Explanation: (See game board, instruction sheet, and recording worksheets to follow.)

The object of the game is to complete ten equations before one’s opponent. Two or more

players may play this game. A standard die and game pawns are also needed. One

recording sheet is to be given to each player. Follow directions given.

Grade Level: 4-5

Source: TeachersPayTeachers.com by Dennis McDonald

#2 Pattern Recreating Explanation: (See activity sheet to follow.) A student will be given a laminated Pattern

Recreating sheet, and many small colored objects such as pom-poms, buttons, or bingo

chips. The student will practice recreating patterns by placing these colored objects on the

coordinating circles on their sheet.

Grade Level: 1st

Source: TeachersPayTeachers.com by Meghan Wells

#3 Magic Pot Explanation: (See recording sheet to follow.) The Magic Pot acts as a number machine

to change a number. This game is adaptable for different grades and abilities. Students

write down a rule (such as “x 2 + 4”) in the given box. Next, they use a dice with any

number of sides and roll. This number is recorded under the IN column. The rule is

applied to the IN number, and the result is recorded in the OUT column. For example, if a

student rolls a 2, that would be recorded under IN. Then, using the rule 2 x 2 + 4 = 8, 8

would be recorded under OUT. This process is repeated until all blanks are filled, or until

time runs out.

Grade Level: 1-4

Source: TeachersPayTeachers.com by Brooke Beynon

Algebraic Relationships Worksheets

#1 Number Sequences Grade Level: 2-5

Explanation: (See worksheet to follow.) Students must complete the pattern of numbers

given.

Source: TeachersPayTeachers.com by Amber Polk

#2 Numerical Expressions Explanation: (See worksheet to follow.) Students must match the correct expression to

each sentence. This gives them practice using correct terminology in math.

Grade Level: 2-5

Source: TeachersPayTeachers.com by Amber Polk

#3 Comparing Expressions Explanation: (See worksheet to follow.) Students must compare/complete each number

sentence or expression with a >, <, =, or a number to make it true.

Grade Level: 2-5

Source: TeachersPayTeachers.com by Amber Polk

#4 Tables Rule! Explanation: (See worksheet to follow.) Students must complete each table of numbers,

and then write the rule that makes each table true.

Grade level: 2-5

Source: TeachersPayTeachers.com by Amber Polk

Algebraic Relationships Internet Sites

#1 Fun Brain / Math Arcade Explanation: The Math Arcade has a virtual game board where the student can move his

game piece by successful completion of many small math games. Skill level is chosen at

the beginning. The games use addition, subtraction, multiplication and division to test

mental math.

Grade level: 1-8

Website:

http://www.funbrain.com/brain/MathBrain/MathBrain.html

#2 Fly Graph Explanation: A fly lands on a graph, and you must enter the x and y coordinates of its

landing location so that the frog can catch it. Make a mistake, and the frog gets fried.

Grade level: 5-6

Website:

http://hotmath.com/hotmath_help/games/ctf/ctf_hotmath.swf

#3 Number Cracker Explanation: Choose a level of difficulty and begin play. You are given three numbers.

You must guess the missing number in the pattern.

Grade level: 1-6

Website:

http://www.funbrain.com/cracker/index.html

Geometry and Spatial Relationships Activity #1: Magazine Shapes

Grade Level: 1st Explanation: Students will look through old magazines or other recycled materials

looking for shapes they know. After cutting them out, they will glue each one on a poster

board labeled with each shape. Alternatively, they can each have a piece of paper divided

into four sections: “Square, Circle, Triangle, and Rectangle.”

Source: http://kids.lovetoknow.com/wiki/Math_Activities:_Elementary-Age_Kids

Geometry and Spatial Relationships Activity #2: Understanding Area

Grade Level: 2-4

Explanation: Give students an even number of squares and “half-square” triangles. Have

them color the squares one color, and the triangles another color. Give students a piece of

white paper with a line drawn down the middle. Each student will create a symmetrical

design on their paper. The students can create complex shapes one square inch and one

half-square inch at a time. This allows them to find area by simply counting wholes and

halves. Gaining such a fundamental understanding of area will better prepare students for

future lessons that teach multiplication as another method of finding area.

Source: http://www.mathactivities.net/lessons/area-and-perimeter-activity.htm#area

Geometry and Spatial Relationships Activity #3: Geometry Monster Glyph

Grade Level: 2-4

Explanation: This craftivity can be used to review, assess, as a center activity, or for

small group work. Through this activity, students will create their very own unique

monsters all while reviewing geometrical terms learned in class, such as polygons,

isosceles and equilateral triangles, intersecting and parallel lines. (See two pages of

instructions to follow.)

Source: TeachersPayTeachers.com by More Time 2 Teach

Geometry and Spatial Relationships Worksheets

#1 Angles, Shapes and Parallel Lines Explanation: (See 2-page worksheet to follow.) This 2-page worksheet asks students to

identify the following: Right Angles, Obtuse Angles, Acute Angles, Vertex of the Angle,

Parallel Lines, Rays of and Angle. Students are also asked to identify the following

shapes and number of sides: Hexagon, Octagon, Pentagon, Kite, Rhombus, Square,

Circle, Trapezoid, Rectangle, and Oval.

Grade Level: 3-5

Source: TeachersPayTeachers.com by Felisa Williams

#2 Pirate Geometry Explanation: (See worksheet and review table to follow.) The review sheet will be

printed on the backside of the worksheet. Depending on the skill level of my students, I

may choose to omit the review table. This worksheet may also need to be differentiated

for those learners who need more help reading and following a set of directions. A few

guiding elements can be sketched on the map prior to making student copies for learners

who may need a visual springboard. I could also challenge higher learners to create a set

of their own checklist directions for a new map after they have correctly completed the

map on the worksheet.

Grade Level: 3-5

Source: TeachersPayTeachers.com by Fourth Grade Fun

#3 Butterfly Symmetry Explanation: (See worksheet to follow.) Students learn and review about symmetry by

drawing in the missing half of each butterfly. At the bottom of the page, they are asked to

tally how many of each shape are used in their drawings.

Grade Level: 1-3

Source: TeachersPayTeachers.com by Michelle Walker

Geometry and Spatial Relationships Internet Sites

#1 Symmetric Shape Shoot Explanation: Students will identify the shapes that are symmetric and those that are not

by “shooting” them with the curser. A mouse, Promethean Board pen, or finger on a

Smart Board can be used.

Grade level: 2-4

Website:

http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/SymmetryShapesSh

oot.htm

#2 Ice Blocker Explanation: This game is similar to Tetris. Shapes are presented, and students must

decide if they are congruent or not. Congruent shapes must be stacked in line together in

order to “bust” the row.

Grade level: 3-5

Website:

http://www.fuelthebrain.com/Game/play.php?ID=131

#3 2-D Shapes Jeopardy Explanation: This game is designed for 2 players. Ideal for use on a Smart Board.

Players must choose the point-level of their question (such as “100”). Questions are given

with multiple choice answers, such as “What shape is this?” “What type of triangle is

this?” Play continues until all questions have been asked.

Grade level: 1-4

Website:

http://www.math-play.com/shapes-jeopardy/shapes-jeopardy.html

Measurement Activity #1: The Cost of Words

Grade Level: 3

Explanation: Students will use this “money code” to determine the "cost" of different

words. They will especially enjoy finding the cost of their names. This activity can be

rotated into guided reading centers to have the student find the worth of the high

frequency words.

Source: http://thirdgradeisahoot.blogspot.com

Measurement Activity #2: Coins Tic-Tac-Toe

Grade Level: 3rd

Explanation: Students will work in groups of 2 or 3. The first player lays 4 markers

(chips, paper clips, markers, etc.) down on any 4 of the coins at the bottom of the page.

The students will add up the coins marked and if that amount is represented on the board,

they cross out that space. The second player then moves ONLY ONE chip to another

coin, adds up the amount and if that amount is on the board they cross out that space as

well. The game continues until there are five spaces in a row crossed off (similar to tic-

tac-toe). The game can be adjusted to only require 4 in a row crossed off, which will

make the game go a little quicker.

Source: http://thirdgradeisahoot.blogspot.com

Measurement Activity #3: I Have, Who Has?

Grade Level: 1-2

Explanation: (See above example cards.) To play the game, distribute the cards among

the students involved. The game starts with “I have the first card” and ends with the card

that has “Let’s play again!” on it as well as the word “FINISH” at the bottom. The

student with the first card reads both the “I have…” and “Who has…?” parts out loud.

Then, the next student that has the card that matches the “who has” description that was

read aloud will read their “I have…” and “Who has…”. The game is played until all

cards have been read.

Source: TeachersPayTeachers.com by Jason’s Online Classroom

Measurement Worksheets

#1 Measure Around the Room Explanation: (See worksheet and recording sheet to follow.) Supplies needed: yardstick

or tape measure for each student or pairs of students to measure in inches, feet and yards.

Students will measure various items in their classroom and convert the measurement to

inches, feet and yards.

Grade Level: 4-6

Source: TeachersPayTeachers.com by Live Teach Laugh Run

#2-5 Measurement Pirates Explanation: (See four worksheets to follow.) This series of four worksheets combine

measurement with a fun pirate theme. Directions are included on each worksheet.

Grade Level: 1-2

Source: TeachersPayTeachers.com by Tina Rubie

Measurement Internet Sites

#1 Stop the Clock Explanation: This game has five different levels varying from telling time to the hour

and half-hour to telling time to the minute. The game can be played with a mouse or on

the Smart Board. Students will match up five analog clocks with their digital counterparts.

Grade level: 1-4

Website:

http://resources.oswego.org/games/StopTheClock/sthec1.html

#2 Perfect Postage Explanation: Students must measure and weigh a parcel (using the metric system) and

refer to a chart to determine how much postage it needs. Great practice for familiarity

with the metric system as well as for measurement.

Grade level: 2-4

Website:

http://www.sciencekids.co.nz/gamesactivities/math/measurements.html

#3 Thermo Quiz Explanation: Temperatures are displayed on a virtual mercury thermometer. Students

must read the thermometer and choose from one of 9 optional answers. The thermometer

keeps changing until all 9 options have been correctly chosen. The answers include

different temperatures, but also may say “3 degrees cooler than the human body,” or “4

degrees warmer than freezing.” Students can make the game harder or easier by choosing

to display temperatures to the nearest 5, 2 or 1 degree.

Grade level: 3-4

Website: http://www.mathnook.com/math/thermo-quiz.html

Data and Probability Activity #1: Probability Jeopardy

Grade Level: 6th

Explanation: (See sample PowerPoint slides to follow.) Students can easily play this

game on a Smart Board. 2-4 players would work best. The student makes a selection of

how many points they would like to earn in which category, and they click on that

number. A question appears on the board, such as “What is the probability of landing on

RED?” and a graphic is shown. The student answers the question aloud, and then clicks

on the slide to reveal the answer. Score must be kept separately. Click on the photo of

Alex Trebek at the bottom of the screen to return to the menu board.

Source: TeachersPayTeachers.com by Emily Fitzpatrick

Data and Probability Activity #2: Probability Spinners

Grade Level: 3-6

Explanation: (See spinner template and worksheet to follow.) Give each student a

spinner template. Allow them to color the template as shown above, and cut it out. Each

student will then be given a paper clip. Students will use their pencil with their paper clip

held on the center of their spinner to complete the included worksheet. Students must first

predict what color they think the spinner is most likely to land on, and explain their

answer. Then they will create a tally chart, spin 50 times, and see if they were right.

Source: TeachersPayTeachers.com

Data and Probability Activity #3: Probability Task Cards

Grade Level: 1-3

Explanation: (See card examples to follow.) These task cards include questioning for

probability, including “more likely” and “less likely.” These can be used for centers as

well as used them to play the game Scoot. In Scoot, the students move from desk to desk

answering questions about a given topic.

Source: TeachersPayTeachers.com by JK Prater

Data and Probability Worksheets

#1 The Probability Line Explanation: (See worksheet to follow.) On this worksheet, students will draw a line in

the space provided. They will then assess the statements A-H given, and place each one

on the line according to how likely the events are to happen.

Grade Level: 3-6

Source: TeachersPayTeachers.com by Miss Nicole R

#2 Probability Balls Explanation: (See worksheet to follow.) Students demonstrate their understanding of

statements like “certain,” “equally likely,” and “impossible” by coloring in the balls to

make each statement true. They will then write the percentage that represents each line of

balls.

Grade Level: 3-5

Source: TeachersPayTeachers.com by Faith Grubbs

#3 Probability Fun Explanation: (See worksheet to follow.) Students work through 5 different probability

challenges on this worksheet ranging from numbers to money to dice.

Grade Level: 3-5

Source: TeachersPayTeachers.com by AnaisValdezV

Data and Probability Internet Sites

#1 Probability Fair Explanation: First students must win tickets for the fair by spinning a probability wheel.

They must choose the color(s) most likely to be landed on. Once the students have tickets,

they may enter the fair and choose from among five games. The games include “Duck

Pluck,” “Plinko,” “Number Board,” “Shell Game,” and “Ticket Wheel.” Duck Pluck

allows the students to choose one of five ducks, essentially, to bet on. The ducks begin

their race, and if their chosen duck wins, they win the number of tickets written on that

duck. Plinko is just like on The Price is Right. Wherever the token lands at the bottom

determines how many tickets are won. The Number Board is essentially a roulette table,

where students may choose a black, red, or green number, or they may choose the black,

red, or green square on which to place their token. If their number or color is spun, more

tickets are won. The Shell Game is more a game of attention than one of math. Four

coconut shell halves are placed upside-down with a ball underneath one of them. The

students must watch the correct shell as they are mixed up. If the correct shell is chosen at

the end, more tickets are won. Finally, the Ticket Wheel is just a spinning wheel with

different ticket numbers represented. Whatever number the marker lands on is the

number of tickets the student wins.

Grade level: 4th

Website:

http://mrnussbaum.com/probfair-play/

#2 Fire! Explanation: Students run a simulation of how a fire will spread through a stand of trees,

learning about probability and chaos. Parameters: Forest density, wind direction, size of

forest.

Grade level: 3-5

Website:

http://www.shodor.org/interactivate/activities/ABetterFire/

#3 Spread of Disease Explanation: Models how a population of susceptible, infected, and recovered people is

affected by a disease.

Grade level: 4-5

Website:

http://www.shodor.org/interactivate/activities/SpreadofDisease/