In some ways, math instruction is very different today than it was when we were in school. Instead of rote memorization and skill drills, standards now emphasize number sense and problem solving skills. The following document is a handy resource guide to multi-digit addition and subtraction for Grade 3. This guide has been placed in your child's folder after the math tools tab for easy reference.
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In this first unit, third graders will focus on and review a variety of place value concepts including addition and subtraction strategies, rounding, word problems involving money, and number comparisons (<, >, =). Students will also solve real world and mathematical problems involving perimeters of polygons. Rounding to the nearest 10 or 100 is an important new concept which requires a solid place value understanding. Solving two-step word problems using the four operations and representing these problems using equations with a letter standing for the unknown quantity also helps students to assess the reasonableness of answers using mental computation and estimation strategies. Third graders will also use $ and ¢ symbols to solve practical money problems.
Students are excited to begin our unit on Fractions!! They will investigate fractions as parts of a whole, fair shares, and parts of a set. Students represent fractions using area models and label on number lines. Emphasis is placed on unit fractions (with numerator of 1). Students will use and understand fraction notation, including using fractional names equivalent to one whole. Grade 3 expectations are limited to fractions with denominators of 2, 3, 4, 6, and 8. Shapes are partitioned into parts with equal areas, and students must express the area of each part as a unit fraction of the whole. For example, if a small pizza was partitioned into 4 equal slices, students would describe the area of each equal slice of pizza as 1/4 the area of the pizza. We will review some of the money concepts from previous units, which included using the least amount of coins to pay for an item, and, even more challenging, determining how much money was initially given to pay for an item when you know the cost of the item and the change you receive back from the store. Finally, in this unit we will look at scaled picture and bar graphs as a way to represent a data set with several categories. Please don't hesitate to reach out if you have any questions about our Fraction Unit!!
Hello Grade 3 Families, Your child was given a different homework sheet for this week. It has a place to record daily fact fluency practice and is due on Friday, 1/20/17. I am attaching the document in case you need it. See below... In Unit 4, Connecting and Using Multiplication and Division, students will continue to deepen their understanding of multiplication and division. They will apply properties of multiplication and division as well as connect both operations. Students will demonstrate understanding in the context of multiplication and division story problems. Third graders will also apply the commutative, associative, and distributive properties to decompose, regroup, and/or reorder factors to make it easier to multiply two or more factors. Students represent expressions using various objects, pictures, words and symbols in order to develop their understanding of properties. This will show students that they can change the order of numbers to determine that the order of numbers does not make a difference in multiplication (but does make a difference in division). Given three factors, they investigate changing the order of how they multiply the numbers to determine that changing the order does not change the product. They also decompose numbers to build fluency with multiplication. Models will help students build understanding of the various properties. Here is an example of the commutative property: 3 x 6 = 6 x 3 We will also begin our work with elapsed time. In second grade, students learned to tell time to the nearest five minutes. In third grade, they extend telling time and measure elapsed time both in and out of context using clocks and number lines. This is a fun unit with lots of hard work! Please don't hesitate to contact me if you have any questions about homework or unit content!! Students are hard at work on our Unit 3 in math - Understanding Area! This unit focuses on real life application of measuring and calculating area and finding area for complex shapes. Students will develop an understanding of using square units to measure area. They will also learn about area as the amount of surface, and count unit squares need to cover a surface to determine areas of figures. Connecting area to multiplication is an important concept. Students will decompose rectangles and recognize that complex shapes can be decomposed into smaller shapes to calculate area. We will revisit the concept of perimeter and solve problems involving both area and perimeter of rectangles and discover ways to make rectangles of the same area or same perimeter. We will also continue reinforcing money concepts by solving word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ signs appropriately. Students will link multiplication by 5s to nickels and 10s to dimes. They will also solve area and perimeter problems with unknown side lengths. This unit will be completed before the break. There is much new learning and connections made in this unit! We will continue to reinforce newly introduced concepts throughout the year. Families can expect to receive an end of unit 3 Parent Communication letter when students return to school after the new year.
Dear Grade 3 Families,
This year, beginning in December, students will be assessed each month on a differentiated set of multiplication and division facts. Based on those results, and the particular problems students made mistakes on, students will be placed at certain levels. Students will be able to build fact fluency by focusing on the facts that are challenging to them and work their way toward end of year goals for 0–10 facts. The steps are broken down like this: Level O (2’s, 5’s, 10’s) Level P (2’s, 5’s, 10’s, 4’s) (if you know your 2’s, 4’s are doubling 2’s) Level Q (2’s, 5’s, 10’s, 4’s, 8’s) (if you know your 4’s, 8’s are doubling 4’s) Level R (2’s, 5’s, 10’s, 4’s, 8’s, 1’s, 0’s) (1’s and 0’s were placed here as an easy in between step) Level S (2’s, 5’s, 10’s, 4’s, 8’s, 1’s, 0’s, 9’s) Level T (2’s, 5’s, 10’s, 4’s, 8’s, 1’s, 0’s, 9’s, 6’s) Level U (all 0-10 facts) [Goal] Level V (11’s, 12’s) (for students who have exceeded the Grade 3 end of year goal) The goal for every level is to answer 35 or more questions correctly in 2 minutes for multiplication and 3 minutes for division. Level U is the end of the year goal for 3rd grade. Students should be practicing facts daily, especially if they have not yet made goal. Thank you for helping your child practice at home! Mrs. Formica Hello Grade 3 families! Because of the shortened week this week, I've told students that there will be no homework sheet. My expectation is that students will practice facts for 5-10 minutes each day. I will be sending fact fluency record sheets home this week (by Thursday) that should be returned with parent signatures by Monday, 11/14/16. We will consider that part of this week's homework. Once again, students made wonderful gains this month! Multiplication and division fact fluency practice will be added to homework expectations for everyone beginning in December, unless you have already heard from me.
Hello Grade 3 Families,
Many of you have asked for websites with age appropriate math games. Here are a few to get you started, but more will be added so keep an eye out! http://resources.oswego.org/games/ - an entire list of the education math games provided by the Oswego City School District. A variety of activities, including Stop the Clock (fun way to practice telling time to the nearest hour, half hour, quarter hour, etc. http://gregtangmath.com/kakooma - a classroom favorite; this site also has other grade level appropriate games. http://www.oswego.org/ocsd-web/games/Mathmagician/maths1.html - fact fluency timed practice http://www.mathplayground.com/common_core_state_standards_for_mathematics_grade_3.html - although there are some ads, games are aligned with Common Core and appeal to our “game” lovers. http://www.mathplayground.com/thinkingblocks.html - problem solving for third graders Check out this LearnZillion presentation about arrays! |
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