Simplifying Improper Fractions Poster

Transcription

1 Simplifying Improper Fractions Poster Congratulations on your purchase of this Really Good Stuff Simplifying Improper Fractions Poster a reference tool showing students how to change improper fractions into mixed numbers. This Really Good Stuff product includes: Simplifying Improper Fractions Poster This Really Good Stuff Activity Guide Displaying the Simplifying Improper Fractions Poster Before displaying the Simplifying Improper Fractions Poster, make copies of this Really Good Stuff Activity Guide and file the pages for future use. Or, download another copy of it from our Web site at Display the Poster where students will be able to see it easily. Introducing the Simplifying Improper Fractions Poster Before introducing the Poster, remind students that fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. Tell students that an improper fraction is a fraction that has a numerator larger than or equal to its denominator and a proper fraction is a fraction that has a numerator smaller than the denominator. Remind students that a mixed number consists of an integer followed by a proper fraction. Pointing to the Poster, indicate that you are going to use this Simplifying Improper Fractions Poster to help students review how to change improper fractions into mixed numbers: Point to 7/3 and discuss why it is an improper fraction. Refer to the next step and say they can convert an improper fraction to a mixed number simply by dividing the numerator by the denominator. Point to the improper fraction 7/3 and remind students that by dividing the numerator (7) by the denominator (3) leaves 2 wholes and 1 remaining fractional part, or the mixed number of 2 1/3. Simplifying Improper Fractions Reproducible Model how to simplify the first two improper fractions on the Simplifying Improper Fractions Reproducible, having students help you. For the mixed number 1 1/7 show students how they can check their answer by following these three easy steps: 1. Multiply the denominator and the whole number (7 x 1 = 7) 2. Add the numerator (7 + 1 = 8) 3. Place that answer over the denominator (8/7) Copy and distribute the Simplifying Improper Fractions Reproducible. Tell students to change the remaining eight improper fractions into mixed numbers, referring to the Simplifying Improper Fractions Poster as needed. Answers: 1) 1 1/7, 2) 2 1/6, 3) 1 2/5, 4) 1 1/8, 5) 3 1/5, 6) 2 5/9, 7) 3 3/4, 8) 2 1/2, 9) 4 1/12, 10) 6 8/10 (or 6 4/5) Simplified Improper Fractions Card Game Copy and distribute the Simplified Improper Fractions Card Game Reproducible. Before starting the game, have students cut apart the cards. Have them store their cards in a zippered plastic bag. Post the directions where the class can easily read them. Have students use their cards to follow along as you demonstrate how to play the game. Players: 2 to 4 students Materials: Improper fraction and mixed number cards (Note: When more than two students are playing, use two full sets of cards.) Pen and paper for each player Object: To practice simplifying each improper fraction How to Play: 1. Place the improper fraction cards in a draw pile facedown. Deal the mixed number cards so that each player has five. 2. The first player draws an improper fraction card, displays it, and reads it aloud to the other player(s). Referring to the Simplifying Improper Fractions Poster, the player simplifies the improper fraction. 3. Whoever has the matching mixed number card in his or her hand discards it. 4. Play continues until one player discards all of his or her mixed number cards and wins the game. After modeling the game, use it as a math center activity. Make up an answer sheet, laminate it, and keep it with the game materials so that students can self-check. Other Math Center Ideas: Improper Fraction Bingo: Create a set of Bingo cards with mixed numbers in each square, and a set of corresponding call cards with equivalent improper fractions. Use the call cards to announce an improper fraction, and lay them down faceup for checking when a student calls Bingo. Using the Simplifying Improper Fractions Poster as a reference, players convert the called-out improper fraction and check to see if they have it on their Bingo card. The first player with five chips in a row wins. Improper Fraction Memory Game: Make sets of cards for the game by creating cards with one improper fraction and cards to match with the equivalent mixed number for each improper fraction. Students play by spreading out the cards facedown in a grid of rows and columns. One by one, players turn over two cards. If a player has a match, he or she keeps the two cards. If not, the player has to turn over the cards facedown and the next player takes a turn. The player with the most cards wins. All activity guides can be found online: Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159168

2 Simplifying Improper Fractions Reproducible Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159168

3 Simplified Improper Fractions Card Game Reproducible Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159168

4 Equivalent Fractions Poster Congratulations on your purchase of this Really Good Stuff Equivalent Fractions Poster a useful tool for students to refer to as they study equivalent fractions. This Really Good Stuff product includes: Equivalent Fractions Poster, laminated This Really Good Stuff Activity Guide Displaying the Equivalent Fractions Poster Before displaying the Equivalent Fractions Poster, make copies of this Really Good Stuff Activity Guide, and the reproducibles on the back of the Poster, and file the pages for future use. Or, download another copy of it from our Web site at Hang the Poster where students will be able to see it easily. Introducing and Using the Equivalent Fractions Poster Copy and distribute the Pizza Fraction Cutouts Reproducible. Distribute a small zippered plastic bag for each student to store the cutouts in. Remind students that equivalent fractions are fractions that represent the same amount, even though they may look different. Point to each pizza pie on the Poster and ask students to notice what is the same (same area shaded in) and what is different (different number of slices, different fractions). Tell students to cut out the pizza pies on the reproducible. Have students place the two slices marked 1/2 on the whole pizza pie. Discuss that if this pizza pie were to be split into two equal sections, each section is represented as a fraction of 1/2. Have students repeat this process with the pizza pies labeled 1/4, 1/6 and 1/8. Again, discuss how each fraction represents the same pie, but the fractions and the slices look different because the denominator is changing based on the number of equal slices the pizza pie is cut into. Ask students how many of the 1/4 slices they would need to equal the same as 1/2. Display the answer of 2/4 on your board and highlight how 1/2 and 2/4 are equal because they are both half of something. Repeat this with the 1/6 and 1/8 slices. Instruct students to store their cutouts in the bag and place it in their math folder for future use. Making 1/2 Copy and distribute the Pizza Fraction Cutouts Reproducible. Again, remind students that equivalent fractions may not always look the same because the denominator is changing, based on the number of equal parts something has. Ask students to select a crayon and indicate that they will use this crayon to shade in the same fraction of each pizza pie. Begin by shading in 1/2 of the pizza pie titled 1/2. Record the shaded fraction on the line to the right of the pie. Instruct students to shade in 1/2 of the pie titled 1/4. Discuss how many slices will be shaded in. Tell students to record the shaded fraction of the 1/4 pie. Discuss how both pies look alike, yet their fractions are different. Repeat this with the 1/6 and 1/8 pies. Drawing Equivalent Fractions Copy and distribute the Creating Equivalent Fractions Reproducible. Instruct students to refer to the bottom section of the Poster, which highlights multiplying or dividing a fraction by one to get an equivalent fraction. Review the identity property of multiplication and the fact that 1 is represented in a fraction when both the numerator and the denominator are the same number. Read through the directions, which tell students to find the equivalent fraction of each fraction by multiplying or dividing by a fraction representing 1. After solving for the equivalent fraction, indicate that they are to visually represent both the original and equivalent fraction in the rectangles next to each problem. If necessary, remind students that just like the example given, the fractions will look different in number form, but the same when visually represented because they are equal. Encourage students to complete the challenge problem, this time representing the fractions with circles. All activity guides can be found online: Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159190

5 Pizza Fraction Cutouts Reproducible Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159190

6 Creating Equivalent Fractions Reproducible Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159190

7 Reducing Fractions Poster Congratulations on your purchase of this Really Good Stuff Reducing Fractions Poster a step-by-step resource for students to refer to when reducing fractions. This Really Good Stuff product includes: Reducing Fractions Poster, laminated This Really Good Stuff Activity Guide Displaying the Reducing Fractions Poster Before displaying the Reducing Fractions Poster, make copies of this Really Good Stuff Activity Guide and file the pages for future use. Or, download another copy of it from our Web site at Display the Poster where students will be able to see it easily. Introducing the Reducing Fractions Poster Pointing to the Poster, indicate that you are going to use this Reducing Fractions Poster to help students review how to reduce fractions. Remind students that reducing fractions means writing a fraction in its simplest form by using the smallest number possible. In other words, they have to find an equivalent fraction in which the numerator and the denominator are as small as possible. When a fraction is reduced, there should be no number (except 1) that can be divided evenly into both the numerator and the denominator. Be sure to remind students that reducing fractions makes fractions easier to understand. 1. Point to the original fraction 12/16 on the Poster. Tell them that it is hard to picture what twelve-sixteenths of a cake might look like. Say that you are going to model how to reduce this fraction, and that afterward they will find out that it s a fraction they are very familiar with. 2. Thinking aloud, list all the possible factors of the numerator 12: 1, 2, 3, 4, 6, 12 and the denominator 16: 1, 2, 4, 8, Remind students that the greatest common factor is the largest factor that both the numerator and denominator share. Refer students back to the factors you wrote down for the numerator and the denominator. Have students tell you that the greatest common factor (GCF) for 12/16 is Review that in order to reduce a fraction to its lowest term, you need to divide the numerator and the denominator by the GCF. Model how you can divide both numbers evenly by So 12/16 reduces to 3/4. Point out how it is a lot easier to visualize three quarters of a cake than twelve-sixteenths of a cake. Reducing Fractions Reproducible Copy and distribute the Reducing Fractions Reproducible. Model how to write the first two fractions on the Reducing Fractions Reproducible in their simplest forms, having students help you with each step: Original All Possible Greatest Divided by Reduced Fraction Factors Common the GCF Fraction Factor (GCF) 6 1, 2, 3, = , 2, 3, 6, 9, , 3, 5, = 25 1, 5, Tell students that the worksheet has 10 more fractions to reduce to lowest terms. Encourage students to follow each step on the Reducing Fractions Poster to find their answers. Reduced Fraction Card Game Copy and distribute the Reduced Fraction Card Game Reproducible. Before starting the game, have students cut apart the cards. Have them store their cards in a zippered plastic bag. Post the directions below where the class can easily read them. Have the students use their cards to follow along as you demonstrate how to play the game. Players: 2 to 4 students Materials: Reduced Fraction cards Pen and paper for each player Object: To practice reducing fractions to their simplest form How to Play: 1. Place the cards in a stack facedown. Determine who will go first. 2. The first player flips a card over. If the fraction is shown in its simplest form, the player keeps the card. If the fraction is not in its lowest term, the player must give the correct lowest term in order to keep the card. If the player gives an incorrect fraction, the player must turn the card back over. 3. Play continues until all of the cards have been played and answered correctly. The player with the most cards wins the game. After modeling the game, use it as a math center activity. Make up an answer sheet, laminate it, and keep it with the game materials so that students can self-check. For those students who need extra support, make a separate deck of cards using fractions whose numerators and denominators have fewer factors. Other Math Center Ideas: Reducing Fractions Bingo Game: Create a set of Bingo cards with reduced fractions in each square, and a set of corresponding call cards with equivalent fractions that need reducing. Use the call cards to announce an unreduced fraction, and lay them down faceup for checking when a student calls Bingo. Using the Reducing Fractions Poster as a reference, players convert the called-out fraction and check to see if they have an equivalent reduced fraction on their Bingo card. The first player with five chips in a row wins. Reducing Fractions Memory Game: Make sets of cards for the game by creating cards with un-reduced fractions and cards to match with their equivalent reduced fractions. Students play by spreading out the cards facedown in a grid of rows and columns. One by one, players turn over two cards. If a player has a match, he or she keeps the two cards. If not, the player has to turn the cards facedown and the next player takes a turn. The player with the most cards wins. All activity guides can be found online: Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159252

8 Reducing Fractions Reproducible Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159252

9 Reduced Fraction Card Game Reproducible Helping Teachers Make A Difference 2010 Really Good Stuff Made in USA #159252