Fifth Grade. An Overview of the Second Half
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1 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
2 Today s Agenda What fifth graders need to know What fifth graders will be doing What you can do to help your fifth grader
3 What Fifth Graders Need to Know
4
5 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
6 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
7 Measurement & Data Convert like units of measurement Represent and interpret data (line plot) Understand volume and its relationship to multiplication and addition
8 Geometry Graph points on a coordinate plane to solve real-world and mathematical problems Classify two-dimensional figures into categories based on their properties.
9 What Fifth Graders Will Be Doing
10 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 =
11 Adding Fractions x 4 4 = x 3 3 = = (2 x 4) (3 x 4) + (3 x 3) (4 x 3) = = = =
12 Subtracting Fractions 4 5 x 3 3 = x 5 5 = = (4x3) (5x3) - (2x5) (3x5) = =
13 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 and lie?
14 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
15 Line Plots: Interpreting Data X X X X X X X X X X 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?
16 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
17 Multiplication of Fractions x 1 3 = half of one third x 1 = 1 x 1 = x 3 6
18 Division of Fractions = one third split into two parts = 1 3 x 1 2 = 1 6
19 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
20 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
21 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
22 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
23 What You Can Do to Help Your Fifth Grader
24 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
25 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
26 Try These Apps! Addition and Multiplication Number Bubbles
27 Try These Apps! Math Drills
28 Helpful Resources Math Module Parent Letters
29 My Web Page
30 Reflection What is one thing that you can commit to doing at home to support the work being done here at school?
31 Thank You! My contact information: Please fill out a feedback form on your way out.
32 Questions?
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