Fifth Grade An Overview of the Second Half Presented by: Anthony Forcinito, Math Specialist Carolyn Clyne, Fifth Grade Teacher Chatsworth Avenue School March 3, 2017
Today s Agenda What fifth graders need to know What fifth graders will be doing What you can do to help your fifth grader
What Fifth Graders Need to Know
Number & Operations in Base Ten Extend understanding of base 10 system to thousandths place Multiply and divide by powers of 10 Add, subtract, multiply, and divide whole numbers and decimals to the hundredths place
Number & Operations Fractions Add and subtract fractions with unlike denominators using equivalent fractions Apply knowledge of multiplication and division to multiply and divide fractions Divide unit fractions by whole numbers and whole numbers by unit fractions only Solve real world problems involving fractions
Measurement & Data Convert like units of measurement Represent and interpret data (line plot) Understand volume and its relationship to multiplication and addition
Geometry Graph points on a coordinate plane to solve real-world and mathematical problems Classify two-dimensional figures into categories based on their properties.
What Fifth Graders Will Be Doing
Equivalent Fractions Students use area models and multiplication/division to create equivalent fractions 2 3 Area Model 2 3 = 2 x 4 3 x 4 = 8 12 0 1 2 1 3 3 8 12 4 12 8 12
Adding Fractions 2 3 + 3 4 2 3 x 4 4 = 8 12 3 4 + 3 4 x 3 3 = 9 12 17 2 3 2 3 + 3 4 = (2 x 4) (3 x 4) + (3 x 3) (4 x 3) = 8 12 + 9 12 = 17 12 = 1 5 12 12 = 1 5 12
Subtracting Fractions 4 5 x 3 3 = 12 15-2 3 x 5 5 = 10 15 4 5-2 3 = (4x3) (5x3) - (2x5) (3x5) = 12 15-10 15 = 2 15 2 15
Using the Number Line Number lines can be used as a tool for finding the exact answer and for estimating Between which two whole numbers does the sum of 1 3 4 and 5 3 5 lie? +1 + 3 4 0 1 2 3 4 5 6 7 5 3 5 8
Game #1: Capture Fractions How to Play Divide the deck into equal-sized piles, one for each player. In each round, each player turns over the top card in his/her pile. The players then figure out which fraction is larger. They may use fractions strips, a number line, or a verbal explanation to prove their thinking. The player with the larger fraction puts both cards at the bottom of his/her pile. The person with the most cards wins. Where s the Math? Fractions as numbers Equivalent fractions Comparing fractions Fraction on a number line
Line Plots: Interpreting Data X X X X X X X X X X 1 1 3 0 1 2 4 2 4 Which rainfall amount was the most common? How many locations received less than one inch of rainfall? How many more locations received 1/8 inch of rainfall than 1/4 inch of rainfall? 1 1 4 1 1 2 1 3 4
Fractions as Division An ice cream shop uses 4 pints of ice cream to make 6 sundaes. How many pints of ice cream are used for each sundae? 4 pints 4/6 pint 1 pint 4 pints 6 sundaes = 4 6 pint per sundae
Multiplication of Fractions 1 3 1 2 x 1 3 = half of one third 1 6 1 2 1 x 1 = 1 x 1 = 1 2 3 2 x 3 6
Division of Fractions 1 3 1 3 2 = one third split into two parts 1 1 6 1 2 3 2 1 = 1 3 x 1 2 = 1 6
Game #2: In Between How to Play Place the cards labeled 1/10, 1/2, and 9/10 on the table, with space in between each. Deal 6 fraction cards to each player. Players take turns placing a card so that it touches another card. Cards must be placed in increasing order, from left to right. Equivalent fractions should be placed on top of each other. A card may not be placed between two cards that are touching. Where s the Math? Fractions as numbers Equivalent fractions Comparing fractions Fraction on a number line
The Importance of Tape Diagrams Melanie puts 1/4 of her lawn mowing money in savings and uses 1/2 of the remaining money to pay back her sister. If she has $15 left, how much did she have at first?? Melanie had $40 at first. $10 savings $10 $10 $15 $30 $15 $10 3 units = $30 1 unit = $10 4 units = $40 $15 x 2 = $30 sister left
Volume: Layers of Understanding Students work with cubes to build 3-dimensional shapes and develop an understanding of volume 4 layers of (3 x 2) 4 layers of 6 4 x 6 = 24 cubic units V = l x w x h V = 6 x 4 x 4 V = 96 cubic units
Volume Word Problems A water tank in the shape of a right rectangular prism is 14 feet deep. The top of the water tank has an area of 220 square feet. What is the volume, in cubic feet, of the water tank? What do students need to understand to solve this problem? Area (l x w) Depth refers to height Volume = l x w x h -or- the area of the top times the height A = 220 square ft. 14 ft. V = (l x w) x h V = (220) x 14 V = 3,080 ft 3
What You Can Do to Help Your Fifth Grader
Things You Can Do at Home Find the math in ordinary activities (cooking, gardening, shopping, home design) Ask questions strategically Can you tell me how you know that? Can you prove your thinking to me? Is there another way to solve that problem? Play board and card games Play some of our school games
Game #3: Battleship! How to Play Create two coordinate planes on graph paper one for you and one to keep track of your partner. Each player places 5 ships on his/her plane: -Air Craft Carrier 5 spaces -Battleship 4 spaces -Destroyer 3 spaces -Submarine 3 spaces -Destroyer 2 spaces Players take turns guessing where each other s ships are located, using x,y coordinates. Where s the Math? Coordinate geometry Strategy Perseverance
Try These Apps! Addition and Multiplication Number Bubbles
Try These Apps! Math Drills
Helpful Resources Math Module Parent Letters
My Web Page
Reflection What is one thing that you can commit to doing at home to support the work being done here at school?
Thank You! My contact information: aforcinito@mamkschools.org Please fill out a feedback form on your way out.
Questions?