math concepts activities final

MATH CONCEPTS ACTIVITIES

EDUC386-01: Math Methods in the Elementary School Final project by Michelle Aviles Cortes

Index

1. Addition activity: Grade K

8. Division activity: Grade 6

2. Addition activity: Grade 7

9. Fractions activity: Grade 3

3. Subtraction activity: Grade K

10. Fractions activity: Grade 5

4. Subtraction activity: Grade 7

11. Graphs activity: Grade 1

12. Graphs activity: Grade 6

5. Multiplication activity: Grade 2

13. Geometry activity: Grade K

6. Multiplication activity: Grade 6

14. Geometry activity: Grade 5

7. Division activity: Grade 4

Instructions

each activity guide includes:

Required materials

Required previous knowledge

Educational objective

Picture

Grade level

"The only way to learn Mathematics is to do Mathematics."

Paul Halmos

MATH CONCEPT: ADDITION

Grade K

DOMINO ADDITION

Instructions: Sort the dominos and only use numbers that add up to 20 or less. The student grabs a domino and places it on the paper. They write each number on the page and use their manipulatives to solve the equations.

Educational objective: Students will be able to practice adding two numbers together. Required previous knowledge: Children must be able to recognize the numbers 0 to 20. They must also be able to count to at least 20.

MATERIALS

Dominos Counting manipulatives Pencils Printable

MATH CONCEPT: ADDITION

Grade 7

ADDING INTEGERS PUZZLE

Instructions: Have students cut, arrange, solve, and glue their puzzles. How to solve the puzzle: Solve each expression to find the sum. Match expressions with their correct sums. When you find a match, place the puzzle pieces, and work on the next part.

Educational objective: Students will be able to practice adding integers. Required previous knowledge: Children must be familiar with the concept of negative numbers. They must also be able to do operations for positive whole numbers.

ADDING INTEGERS PUZZLE

Instructions: (continued) Make sure that all shared lines represent the same number. Once everything matches up, you are finished. Congrats!

Educational objective: Students will be able to practice adding integers. Required previous knowledge: Children must be familiar with the concept of negative numbers. They must also be able to do operations for positive whole numbers.

MATERIALS

Scissors Glue sticks Printable

MATH CONCEPT: SUBTRACTION

Grade K

SUBTRACTION RACE

Instructions: Put your subtraction flashcards upside down in a pile. Take turns drawing a card. Move to the closest space with the answer to the subtraction fact. Whoever gets to END first (with the number) wins!

Educational objective: Students will be able to practice subtracting two numbers. Required previous knowledge: Children must be able to recognize the numbers 0 to 20. They must also be able to count to at least 20.

MATERIALS

Game pieces Printable (race mat and flashcards)

MATH CONCEPT: SUBTRACTION

Grade 7

ABSOLUTE ZERO CARD GAME

Instructions: The Absolute Zero deck of cards consists of positive and negative numbers. The objective of Absolute Zero is to have the sum of all the cards in your hand equal zero. Players draw and discard until this is accomplished. The first one with nothing wins the round! A round can consist of a hand of 3, 4, or 5 cards.

Educational objective: Students will be able to practice subtracting (and adding) integers. Required previous knowledge: Children must be familiar with the concept of negative numbers. They must also be able to do operations for positive whole numbers.

ABSOLUTE ZERO CARD GAME

Instructions: (continued) The number of cards in your hand changes the strategy and the amount of mental math needed! There are several other games that you can play with the Absolute Zero deck of cards. Absolute Zero is fun for home or school. Playing this game provides a good foundation for integer operations.

Educational objective: Students will be able to practice subtracting (and adding) integers. Required previous knowledge: Children must be familiar with the concept of negative numbers. They must also be able to do operations for positive whole numbers.

MATERIALS

Absolute Zero deck of cards

MATH CONCEPT: MULTIPLICATION

Grade 2

MULTIPLICATION SQUARES GAME

Instructions: During a player's turn, they roll both dice and multiply the two numbers on the dice. The player looks for the product on the board and draws a line to connect any two dots that form part of the square around that product. Since each product appears multiple times on the board, the player can be very strategic about where they draw a line.

Educational objective: Students will be able to practice multiplication facts. Required previous knowledge: Children must know addition and subtraction facts.

MULTIPLICATION SQUARES GAME

Instructions: (continued) The player uses their marker to color in a square when they draw a line to close it. That player rolls the dice again and takes another turn. The player with the most colored squares wins when all dots are connected!

Educational objective:Students will be able to practice multiplication facts. Required previous knowledge: Children must know addition and subtraction facts.

MATERIALS

Dice (two per player) Different color markers for each player Printable

MATH CONCEPT: MULTIPLICATION

Grade 6

MATH MYSTERY PICTURE

Instructions: In this challenge, students will multiply (and divide) mixed numbers, decimals, and fractions in 15 different problems. Each correct answer will reveal a bit of the mystery picture. Students will be motivated to complete the math problems to discover the mystery picture!

Educational objective: Students will be able to practice multiplying positive rational numbers fluently. Required previous knowledge: Children must be familiar with mixed numbers, decimals, and fractions concepts. They must also know multiplication facts.

MATH MYSTERY PICTURE

Instructions: (continued) How to complete the picture: Match each problem to a letter with one of the answer choices. Color the letter in the grid the color from the problem box to reveal your mystery picture.

Educational objective: Students will be able to practice multiplying positive rational numbers fluently. Required previous knowledge: Children must be familiar with mixed numbers, decimals, and fractions concepts. They must also know multiplication facts.

MATERIALS

Colored pencils, markers, or crayons Printable

MATH CONCEPT: DIVISION

Grade 4

REMAINDER RACE

Instructions: Players choose a marker and place it on "Start." Each player has a recording sheet. At their turn, they draw a card from the draw pile on the game board, solve the division problem on their recording sheet, and circle the remainder. The player moves the same number as the remainder.

Educational objective:Students will be able to practice division facts with remainders. Required previous knowledge: Children must know addition and subtraction facts.

REMAINDER RACE

Instructions: (continued) E.g., they move three spaces on the game board if they get a remainder of three. Only a few problems lack remainders. Players do not move when they solve a problem without one. Instead, the next player goes. Also, some spaces on the board have players move back (e.g., -1, -2, and -3).

Educational objective:Students will be able to practice division facts with remainders. Required previous knowledge: Children must know addition and subtraction facts.

REMAINDER RACE

Instructions: (continued) The first player to reach "End" is the winner of the Remainder Race! Note: you can mix and match division cards so that players practice two-digit and three-digit division.

Educational objective:Students will be able to practice division facts with remainders. Required previous knowledge: Children must know addition and subtraction facts.

MATERIALS

PencilsGame markersPrintable (game board, 2-digit division cards, 3-digit division cards, and recording sheets)

MATH CONCEPT: DIVISION

Grade 6

MATH MYSTERY PICTURE

Instructions: In this challenge, students will divide (and multiply) mixed numbers, decimals, and fractions in 15 different problems. Each correct answer will reveal a bit of the mystery picture. Students will be motivated to complete the math problems to discover the mystery picture!

Educational objective: Students will be able to practice dividing positive rational numbers fluently. Required previous knowledge: Children must be familiar with mixed numbers, decimals, and fractions concepts. They must also know division facts.

MATH MYSTERY PICTURE

Instructions: (continued) How to complete the picture: Match each problem to a letter with one of the answer choices. Color the letter in the grid the color from the problem box to reveal your mystery picture.

Educational objective: Students will be able to practice dividing positive rational numbers fluently. Required previous knowledge: Children must be familiar with mixed numbers, decimals, and fractions concepts. They must also know division facts.

MATERIALS

Colored pencils, markers, or crayons Printable

MATH CONCEPT:FRACTIONS

Grade 3

EQUIVALENT FRACTIONS FLY SWATTER GAME

Required previous knowledge: (continued) They must also be familiar with comparing fractions. Children must know division facts. Instructions: How to assemble: Print the flies double-sided (lengthwise) on cardstock and laminate them.

Educational objective:Students will be able to practice recognizing equivalent fractions (in lowest terms). Required previous knowledge: Children must be familiar with the concept of fractions (two parts: numerator and denominator).

EQUIVALENT FRACTIONS FLY SWATTER GAME

Instructions: (continued) The self-checking ability is helpful since this game works best in pairs or small groups. A fraction not in the lowest terms is on the front with the picture of the fly. The equivalent fraction in the lowest terms is on the back (e.g., 2/4 on the front and 1/2 on the back).

Instructions:(continued) Cut out the flies on the dotted line. Attach the soft velcro dots where the wings connect. Attach the rough velcro strip to a clean fly swatter. This game is printed double-sided so students can self-check.

EQUIVALENT FRACTIONS FLY SWATTER GAME

Instructions: (continued) Have players take turns identifying a fly by reading its fraction, swatting the fly with the fly swatter, and saying the corresponding equivalent fraction in the lowest terms. Have players turn over the fly swatter revealing the back of the fly to see if they were correct. Have players that got it right remove the fly and place it in their pile.

Instructions:(continued) How to play: Choose the fractions you want players to use (from a total of 90 flies with different ones). These reduce to the lowest terms: 1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, and 1/9. Spread the flies on a table or the floor.

EQUIVALENT FRACTIONS FLY SWATTER GAME

Instructions:(continued) Have the next player go and repeat until there are no more flies.

MATERIALS

Equivalent Fractions Flies Soft Velcro dots Rough Velcro strip Fly swatter

MATH CONCEPT: FRACTIONS

Grade 5

DIVIDING FRACTIONS BINGO

Required previous knowledge: (continued) Children must understand divisibility (e.g., whether a number is divisible by another). Instructions: Students should cover the FREE space on their board. Tell them what they need to cover to get a Bingo (e.g., four in a row,

Educational objective: Students will be able to practice dividing (and simplifying) fractions. Required previous knowledge: Children must know how to multiply, divide, add, and subtract. They must also know how to multiply and reduce fractions.

DIVIDING FRACTIONS BINGO

Instructions: (continued) Have players cover the spot with the answer if they solved the problem and got it. Continue until someone gets a Bingo.

Instructions:(continued)(four corners, cover everything, etc.). Choose a calling card and show it using a document camera. Read the problem on the card and have players solve and simplify. Note that the game includes calling cards with the same answer.

MATERIALS

Document camera Counting chips Printable (Bingo cards and calling cards)

MATH CONCEPT:GRAPHS

Grade 1

SKITTLES COUNT AND GRAPH

Instructions: Give each student a handful of Skittles. Have them sort the candies by color and record the total number of each color in the box on their color sorting mat. Have students color the total number of each color Skittle on the graph and answer the questions on the bar graph page.

Educational objective: Students will be able to sort and count to make a graph. Required previous knowledge: Children must be familiar with equal to, more than, and less than concepts. They must also know how to sort and count items.

SKITTLES COUNT AND GRAPH

Instructions: (continued) Give students eight Skittles. Have them color the appropriate number of sections on the graph for each color and answer the questions on the circle graph page.

Educational objective: Students will be able to sort and count to make a graph. Required previous knowledge: Children must be familiar with equal to, more than, and less than concepts. They must also know how to sort and count items.

MATERIALS

Pencils Colored pencils, markers, or crayons Skittles Printable (color sorting mat, bar graph page, and circle graph page with discussion questions)

MATH CONCEPT:GRAPHS

Grade 6

YOU SUNK MY SHIP! GRAPHING GAME

Instructions: My fleet Place these ships on your battlefield. Aircraft carrier (5 points) Battleship (4 points) Submarine (3 points) Destroyer (3 points) Patrol Boat (2 points) Mark a red tick over the coordinates when your opponent hits one of your ships.

Educational objective:Students will be able to practice graphing coordinates on a plane. Required previous knowledge: Children must be familiar with the Cartesian coordinate system. They must also understand number lines (including negative numbers).

YOU SUNK MY SHIP! GRAPHING GAME

Instructions: (continued) Enemy fleet Take turns firing at your opponent's fleet by naming coordinates. Mark a red tick over the coordinates when you hit one of your opponent's ships. Mark a black X over the coordinates when you miss. The first player to sink all of their opponent's ships wins!

Educational objective:Students will be able to practice graphing coordinates on a plane. Required previous knowledge: Children must be familiar with the Cartesian coordinate system. They must also understand number lines (including negative numbers).

MATERIALS

Red and black colored pencils, markers, or crayons (one of each for each player) Printable (game boards and student recording sheets)

MATH CONCEPT: GEOMETRY

Grade K

HOW MANY CUPS?

Required previous knowledge:(continued) They must also know how to count. Instructions: Set these materials on student tables. Plastic buckets filled with beans A variety of containers (e.g., take-out, soup bowls, graduated cylinder, etc.) Dixie cups

Educational objective: Students will be able to practice estimation and measurement. Required previous knowledge: Children must be familiar with tall, short, long, and wide concepts and know how to order items from smallest to largest.

HOW MANY CUPS?

Instructions:(continued) Make sure containers do not fit inside each other (as measuring cups). Make sure some are tall and others wide to have kids fill them with beans to place them in order. Have students use Dixie cups to measure. Discuss findings with the kids.

Instructions: (continued) Ask this question. How many cups of beans does it take to fill the cups on your table? Put the containers in order from smallest to largest capacity. Give kids a variety of containers. Do not make the answer obvious.

MATERIALS

Plastic buckets filled with beans A variety of containers (e.g., take-out, soup bowls, graduated cylinder, etc.) Dixie cups

MATH CONCEPT: GEOMETRY

Grade 5

SUGAR CUBE CONUNDRUM

Required previous knowledge:(continued) and know how to measure objects using a ruler. Instructions: Open the top of the sugar cube box. Determine its dimensions in cubic units. Do not remove sugar cubes. Know that each sugar cube is one cubic unit.

Educational objective: Students will be able to practice estimation and measurement. Required previous knowledge: Children must understand volume, measurement, and dimensions concepts, be familiar with the standard measure,

SUGAR CUBE CONUNDRUM

Instructions: (continued) Use a ruler to find the volume (in standard units) without removing sugar cubes and explain why it is the same or different when measured in standard and non-standard units.

Educational objective: Students will be able to practice estimation and measurement. Required previous knowledge: Children must understand volume, measurement, and dimensions concepts, be familiar with the standard measure,

MATERIALS

Sugar cube boxes Rulers

The end.Thanks for watching!