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Fractions… Fractions. . . Fractions! CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue, Room 202 Fayetteville, Arkansas 72701 (479) 575 -3875 (479) 575 -5680 (FAX) e-mail: cej [email protected] edu Website: www. cmase. edu Math Wiki: www. cmasemth. pbwiki. com
2 14 16 2 1 0 1 468 18 20 Equivalent Fractions Same Name Frame www. aimsedu. org
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Name: ________________________________ Part I: Part II: 1. ________________ Look around your table… Write five fractions and statements about your group and draw pictures depicting them. 1. ______________ 2. ______________ 3. ______________ 2. ________________ 3. ________________ 4. ________________________________ 5. ___________________________
Strand: Number & Operations Standard 1: Number Sense 2 nd - 3 rd grade Words Made With Fraction Sense DIRECTIONS: As manipulatives, use the small sticky notes on the desks. Write each letter of the given word on a note and move them around, as needed. Use your fraction skills and the clues to figure out the words. • Start with the first 1/6 of “school”. • Add the last 3/4 of “know”. • Add the first 2/3 of “fly”. • Add the last 4/8 of “cupcakes”.
Strand: Number & Operations Standard 1: Number Sense 4 th – 5 th Grade Words Made With Fraction Sense • Start with the first 6/8 of “base”. • Add the last 1/2 of “market”. • Add the first 2/14 of “balance”. • Add the last 6/8 of “fall”.
Strand: Number & Operations Standard 1: Number Sense 5 th – 6 th grade Words Made With Fraction Sense • Start with the last 20/50 of “table”. • Add the first 4/24 of “anyone”. • Add the first 1/3 of “velvet”. • Add the first 5/15 or the last 7/21 of “sis”.
Use sticky notes to write the words with each letter on a separate note. Pick them up, move them around and make the new word. Write it down. When you have finished all seven words combine them into a message at the bottom. Then go find your prize. Clues 1. The last 2/5 of “Earth” + the last 1/5 of “space”. 1. _________ 2. The first 2/7 of “missile” + the first ¼ of “lift” + the first 1/7 of “Kennedy” + the last 1/7 of “Kennedy”. 2. _________ 3. The first ¼ of “work” + the last 2/3 of “ray”. 4. The third seventh of “science” + the first 1/3 of “sun”. 4. _________ 5. The fourth and fifth sevenths of “landing” + the first 3/7 of “recover” + the fifth and sixth sevenths of “shuttle” + the last 1/7 of “galaxy”. 6. The first ¾ of “belt” + the second ¼ of “moon” + the first 1/5 of “wings”. 7. The first 1/3 of “thrust” + the second 1/6 of “meteor”. 7. _________ 3. _________ 5. _________ 6. _________
v. With the 4 colors of paper fold on the lines, cut, and punch holes, as shown below. Punch holes on sides Punch holes on bottom Punch holes on top & bottom
The matching colors of his limbs add up to his body, which represents 1 whole. What fractional part does each color represent? ORANGE ? YELLOW ? BROWN ?
quarts quart Whole 1/4 1/8 1/16
Capacity (gallon, quart, pint, cup) 1 gallon = 4 quarts = 8 pints = = = 16 cups =
The matching colors of Nollag’s limbs add up to his body, which represents a gallon. What quantity does each color represent? ORANGE ? YELLOW ? BROWN ?
Name the shapes… Body, Legs, & Arms: Rectangle Head & Eyes: Circle Mouth: Trapezoid Nose: Rhombus Buttons: Oval Hat: Triangle (Isosceles Triangle) Hat Band: Parallelogram
Domination THIS ACTIVITY INCLUDES: Equivalent Fractions…Parts of a Whole…Adding Fractions… Comparing Fractions From Math Activities with Dominoes Grades 3 -8, Cuisennaire
Domination THIS ACTIVITY CAN INCLUDE: Equivalent Fractions…Parts of a Whole…Adding Fractions… Comparing Fractions Materials: 1 set of Double Six Dominoes per pair. Remove all the BLANKS from the set. Place in a paper bag. 2 Markers, crayons, or pencils of different colors per team “Domination” mat Student reporting sheet
Domination Content Instruction: Hold the Domino vertically. Turn the end with the fewer PIPS to the top. Read it as a fraction, discuss that these will always be less than 1. 2 = 5 When the PIPS are the same top and bottom, read as a fraction and discuss that these will always equal 1. 5 =1
Discuss different ways a fraction could be represented. Example: If you have the two-three domino, that is 2/3. It could be represented in what ways on the mat? 2 of the 1/3 spaces or 4 of the 1/6 spaces or 1 of the 1/3 spaces and 2 of the 1/6 spaces
Domination Game directions: Both players select a domino and read the fraction as directed above. Compare the fractions. The person with the largest fraction then colors in or puts his initials in the correct parts of the mat that equal that fraction. The next player then does the same. After each play the domino is returned to the bag and the process is repeated until the entire mat is filled. At times a player may draw a domino that can no longer be used. It should be discarded from the bag. The player can choose another domino or the rule can be that the player looses his turn. Another option is to assign each side of the mat to a specific player and let them compete in trying to fill their side first.
Domination Assessing for Understanding: A worksheet is attached for students to keep track of what they did on each play. This can be turned in to the teacher, if desired.
Domination Student Recording Sheet Turn # Fraction 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Name: ___________ Sections Captured
Domination Scoring: Option 1: A simple process would be to count the number of sections captured by each person. Therefore, it would be an incentive to capture 4 sections of 1/6 each as opposed to 2 sections of 1/3 for the two-three domino. The one with the most sections captured would be the DOMINATOR. Option 2: To include addition of fractions, mixed numbers, and comparing fractions, the players will add the fraction total they captured on each column of the mat; combine these totals for their own grand total; and compare to their opponent’s grand total to find the DOMINATOR. The winner colors in the “DOMINATION” box at the top of the mat.
Spring Blossom Tree Trace your arm and use colored pop corn to make this neat tree full of blossoms. Materials Needed: Large Piece of Paper Crayons Glue Powdered Tempera Paint Plastic Sandwich Bag Popcorn Instructions: On the large piece of paper, trace your hand forearm all the way up to your elbow. Make sure your fingers are spread apart. The tracing of your forearm will be the tree trunk and your fingers will be the branches! Color it in with brown crayons (you can also use paint or markers). Place a couple or teaspoons of red, pink, or yellow powdered tempera paint into a plastic sndwich bags. Put a couple of handfulls of popped popcorn into the bags and shake it so the popcorn is colored. This will be colorful blossoms for the tree. Read the following Springtime story and glue the “blossoms” as directed. Glue the colored popcorn onto the tree branches to make the blossoms.
The blossoms and leaves have just begun to sprout on the spring trees. But the spring wind often blows the new blossoms and leaves to the ground. This tree has more blossoms on the tree than on the ground. If 6 are on the tree and 3 on the ground what fraction are on the tree? _________ What fractional part are on the ground? ________ Glue the correct number of blossoms where they belong. >>>>>>>>>>>>>>>>>>>>>>> There are lots of little green leaves. One-fourth of them are on the ground. What fraction of the leaves are on the tree? ______ If there are 12 leaves all together, how many are on the ground________? How many are on the tree? _______ Glue the correct number of leaves where they belong. >>>>>>>>>>>>>>>>>>>>>>> Butterflies love the new little blossoms. There are three butterflies flying by the tree. Two-thirds of them land on the tree. How many are on the tree? ______ The remaining land on the ground. What fractional part of the butterflies are not on the tree? _______ Glue the correct number of butterflies where they belong. >>>>>>>>>>>>>>>>>>>>>>>
Find the fractional value of the Pattern Blocks Draw and color each of the items listed below on triangle paper and record the values. 1. A hexagon has a value of 1. 2. What is the value of a green triangle? 3. What is the value of a blue rhombus? 4. What is the value of a trapezoid? 5. Build a design using one of each: yellow, blue, red, and green blocks. Find the value of your design. 6. Build a design using five or more yellow, blue, red, or green blocks in any combination. Find the value of your design.
Can you solve these Pattern Block fraction puzzles? Working with a partner, use Pattern Blocks to solve each of these fraction puzzles. Puzzle 1: Build a triangle that is onefourth green and three-fourths red. Puzzle 2: Build a hexagon that is one-half red, one-sixth green and one-third blue. Puzzle 3: Build a parallelogram that is three-fourth red and onefourth green. Puzzle 4: Build a parallelogram that is one-half blue and one-half green. Using triangle grid paper, record, color, and number each of your puzzle solution. The Super Source Pattern Blocks Grades 5 -6
Can you solve these Pattern Block fraction puzzles? Working with a partner, use Pattern Blocks to solve each of these fraction puzzles. Puzzle 1: Build a triangle that is onethird green and two-thirds red. Puzzle 2: Build a triangle that is two-thirds red, one-ninth green and two-ninths blue. Puzzle 3: Build a parallelogram that is three-fourths blue and onefourth green. Puzzle 4: Build a parallelogram that is two-thirds blue and onethird green. Using triangle grid paper, record, color, and number each of your puzzle solution. The Super Source Pattern Blocks Grades 5 -6
www. aimsedu. org Investigating Fractions on a Number Line & Equivalent Fractions Between Zero and One