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3rd Grade Math Vocabulary Resources 3rd Grade Math Vocabulary Resources contains two resources to promote student independence, develop math vocabulary, and support reading and writing in mathematics. All vocabulary is aligned with the Common Core State Standards. My Math Vocabulary Book contains over 190 essential math words for 3rd Grade. Also included in the book are a 0-200 grid, math writing prompts, math talk stems, a multiplication grid, and space on each page for students to write in extra math vocabulary as needed. Print a copy for each student in your class (5 double sided pages) and watch their math writing skills improve. Also included in this file is a set of 174 Math Vocabulary Cards for your Math Word Wall (see following page for a list of vocabulary) in large font with a visual or example. Cards in each domain are color coded. Printing Instructions: Pages 7 - 16 of this file contain the template for My Math Vocabulary book. Before printing the book set your printer to print on both sides of the paper and to flip on the short edge (otherwise the pages will be upside down on the back). Print and fold the stack of pages. Open up and staple along the fold with a long arm stapler. If making a class set print one master copy and use your school photocopier to make additional copies. For added durability you may want to consider printing the cover page on cardstock. Be sure to return your printer settings to print on one side before printing the 3rd Grade Math Vocabulary Cards. For long term use print the vocabulary cards on white cardstock and/or laminate them. Blank cards are included for additional words you may need to add to the set. You may also want to print extra copies of the blank cards and have students take responsibility for writing a definition to be displayed alongside each word on the word wall.

The following vocabulary is included on the 3rd Grade Math Word Wall Cards: Operations & Algebraic Thinking Number & Op. in Base Ten Number & Op: Fractions Measurement & Data Geometry addition, addend, sum, subtract, minuend, subtrahend, difference, unknown quantity, inverse operation, equation, related facts, estimate, column, row, array, multiply, factor, product, operations, expression, multiple, divide, order of operations, compatible numbers, dividend, divisor, quotient, number line, even, odd, open number line, equal groups, strategy, pattern, rule sequence, term, increasing, decreasing greater than, less than, place value, ones place, tens place, hundreds place, thousands place, digit, round, ten, hundred, thousand, standard form, word form, expanded form fraction, fraction model, whole, one half, one third, one fourth, one sixth, one eighth, numerator, denominator, unit fraction, equivalent, compare, equal parts, fraction greater than one elapsed time, hour, minute, second, o’clock, half past, quarter past, quarter to, noon, morning, afternoon, evening, week, month, year, height, length, width, perimeter, ruler, tape measure, centimeter, meter, kilometer, inch, foot, yard, mile, half inch, quarter inch, area, tiling, square unit, square inch, square foot, square meter, rectilinear, liquid volume, quart, pint, gallon, milliliter, liter, halfway, measure, standard unit, nonstandard unit, balance scales, mass, lighter, heavier, gram, kilogram, tally chart, picture graph, bar graph, line plot, least, most, scale, key, frequency table square, triangle, rectangle, kite, rhombus, trapezoid, quadrilateral, pentagon, hexagon, octagon, parallelogram, decagon, 2-dimensional, Venn diagram, symmetrical, perpendicular, parallel, intersecting, closed shape, open shape, endpoint, line segment, point, ray, side, vertex/ vertices, angle, congruent, similar, attributes Properties of Operations : Commutative Property of Addition, Commutative Property of Multiplication, Associative Property of Addition, Associative Property of Multiplication, Additive Identity Property of 0, Zero Property of Multiplication, Multiplicative Identity Property of 1, Distributive Property of Multiplication

Developing Student Knowledge of Math Vocabulary Knowledge of math vocabulary is an essential component of learning mathematics. In order to communicate math thinking clearly and coherently students need to learn and use appropriate math vocabulary. If we want students to use the language of mathematics precisely it is important that that we model appropriate language in context, both verbally and visually. Resources such as math word walls and math vocabulary books can provide scaffolds to bridge the gap between informal math language and the formal terminology of mathematics as students engage in mathematical explorations and experiences Math Word Walls Math word walls have become a common feature in many classrooms. However, they are often underutilized and serve as little more than a decorative display. When used well the word wall can be a powerful tool that promotes independence, develops math vocabulary, and supports reading and writing in mathematics. Providing students with an individual Math Vocabulary Book ensures that all students have access to the language they need to develop their math writing skills. If your classroom Math word wall cannot be easily seen from all students' tables consider introducing a Math Vocabulary Book as an added support. Following are some suggestions to promote effective use of math vocabulary: Introduce vocabulary to students Introduce new math vocabulary, as appropriate, during lessons. Post new vocabulary on the word wall as it is introduced, rather than putting it all up at the beginning of a unit. As each word is placed on the word wall, discuss and agree upon a class definition and have a student write it on a blank card to be displayed alongside the word. Model how to use the word wall The more you use the word wall, the more your students will do the same. Putting the words up at the beginning of the year and telling students to use it without showing them how is setting your word wall up for failure. Refer to the word wall often so that students get in the habit of doing the same and model how to use it during math writing sessions. Make the word wall interactive Make your wall interactive by posting math vocabulary cards in a pocket chart. This allows students to go to the wall, remove a word, use it at their desk, and return it. It also makes is easier for you to dismantle the wall at the end of each unit which will save you time and make it more likely that you will update it regularly.

. Less is more Only put up math vocabulary for the current unit of study, otherwise the wall gets too crowded and becomes more difficult to use. Take down words once a unit is completed and retire them to the math center. Students can use cards from previous units to play the memory game Concentration where they match the word to the definition, Go Fish (“Do you have “a six sided figure?” ”Yes, I have a hexagon.”), or any other games that will provide opportunities to review vocabulary. Set Expectations Let students know early in the year that you expect to see vocabulary from the word wall in students' math writing and that it should be spelled correctly. To begin with you may have to prompt students to make use of this resource: "Try to use at least 3 words from the math word wall in your math writing today". Make word wall activities a regular part of the classroom routine When used as a regular, predictable part of classroom routines word wall activities can play an important role in the development of students' math vocabulary. Setting aside 10 minutes on a regular, ongoing basis for word wall activities will make students more aware of the posted vocabulary and therefore more likely to independently use the wall as a tool during math writing activities. Possible activities include: Tic-Tac-Toe: Draw a large grid on chart paper and tape a vocabulary card in each square. Divide students into teams. Teams take turns choosing a word and defining it. If the team defines the word correctly, remove the card and place an X or an O in the square. Leave the card on the board if the team answers incorrectly. Continue play until a team has three in a row. The Word Wall Game: The objective of this game is for students to find words on the word wall using clues given by the teacher, or another student. Clues may consist of a definition or description of a word. Once the clue is completed students may raise their hand to announce that the know where the word is found on the word wall or write the word on their slate. The teacher calls on a student to go to the wall, identify the word using a pointer, and say it. A clue is then given for another word. Sample clues for a 3rd Grade Word Wall word wall: "I am thinking of a word that." means the opposite of . /means the same as describes a shape with faces, vertices and edges. is a coin with a value of cents You can use the word wall game when you have a spare few minutes between lessons, or grab a stack of vocabulary cards as you are lining up to walk to or from lunch. You will be pleasantly surprised at how quickly students begin to incorporate these words into their math writing.

Cloze Activities: Write 2-3 sentences and leave blank spaces for students to fill in with appropriate math vocabulary from the word wall. Alternatively, call out a word from the math wall and have students write a sentence that expresses a relationship or connection between the term and another math term, concept, situation, or real-world application. These are both good warm up activities for the start of a lesson. Math Doodles: Call out a math word and have the students sketch or doodle a picture of the word for 15-20 seconds, until the next word is called. Students connect each of their doodles with a line, making a simple link. After you’ve called out 5 words have students label their doodles without looking at the math word wall. Next, ask students to call out the words in their chain before checking the spelling of their words against the math word wall to make sure they are accurate. Math Vocabulary Books Math Vocabulary books should be used alongside the class math word wall to promote independence and support math writing. Similar to a personal word wall, these books allow for differentiation as students can add the words they need to their own book and have them readily available at all times.

Multiplication Grid Name: Class: 3rd Grade 17.

0 - 200 Number Grid Math Talk Stems I think this problem is similar to I agree because I disagree because I noticed I’d like to build on ’s thinking What I heard you say was My strategy was similar. I My strategy was different. I The math tools I chose to use were . To model my thinking I I checked my work by I am wondering I would like to know more about how you I have a question for about I would like to revise my thinking because K-5 Math Teaching Resources 2012 I’m not sure that makes sense because . 16.

Math Writing Prompts Contents My math goal is To reach this goal I will . Operations 1 Today in Math I . Place Value . 2 Something new I learned in Math today was Patterns 3 Something I still need to work on is I’m still not sure about . I know that I need to find out Fractions 4 2-Dimensional Shapes 5-6 Mass . 7 Time . 8 To solve this problem I Linear Measurement . 9 Another strategy I could use would be Perimeter and Area . 10 I think the most efficient strategy is . Liquid Volume 11 I think the answer is . because Data . 12 To model the problem I I know my answer is reasonable because To check my work I I can improve my work by I chose this work to publish because . 15. Math Tools . 13 Properties of Operations . 14 Math Writing Prompts . 15 Math Talk Stems 16 Multiplication Grid . 17

Properties of Operations Operations addition row unknown add factor estimate addend multiple equation sum product strategy subtraction division property subtract divide expression difference equal shares minuend quotient subtrahend dividend multiplication divisor multiply remainder array column equal groups 1. Commutative Property of Addition Changing the order of the addends does not change the sum. Example:3 5 5 3 Commutative Property of Multiplication Changing the order of the factors does not change the product. Example: 3 x 2 2 x 3 Associative Property of Addition Changing the grouping of 3 or more addends does not change the sum. Example: (2 8) 4 2 (8 4) Associative Property of Multiplication Changing the grouping of 3 or more factors does not change the product. Example: (2 x 3) x 4 2 x (3 x 4) Additive Identity Property of 0 The sum of any number and zero equals the number. Example: 7 0 0 7 7 Zero Property of Multiplication The product of any number and zero is zero. Example: 8 x 0 0 x 8 0 Multiplicative Identity Property of 1 The product of any number and one equals the number. Example: 7 x 1 1 x 7 7 Distributive Property of Multiplication Multiplying a sum by a given number is the same as multiplying each addend by the number and then adding the products. Example: 6 x 8 48 6 x (5 3) (6 x 5) ( 6 x 3) 30 18 48 14.

Math Tools Place Value balance scale pattern blocks digit base 10 blocks ruler round calculator snap cubes less than ( ) coins spinner greater than ( ) colored tiles 3D shapes ones place counters tangrams tens place dice meter stick hundreds place fraction kit yardstick thousands place geoboard standard form number grid word form number line expanded form 13. 2.

Patterns Data 1, 3, 5, 7, 9, 11 . ///-///-///-///- data decreasing increasing repeats rule sequence term geometric pattern numerical pattern tally chart bar graph picture graph line plot minimum maximum most least scale key trend 3. 12.

Liquid Volume Fractions container cup funnel pint empty quart halfway gallon full milliliter pour liter capacity U.S. Customary Units 1 gallon 4 quarts 1 quart 2 pints 1 pint 2 cups Metric Units 1 liter 1,000 milliliter equal parts unit fraction partitioned numerator whole denominator half compare third quarter fourth sixth eighth equivalent fraction model It took . cups of water to fill the container halfway. It took . cups of water to fill the container to the brim. 11. 4.

Name triangle quadrilateral pentagon Sides 3 4 Perimeter and Area Example perimeter square centimeter distance square meter side length rectilinear figure linear area 5 hexagon 6 tiling heptagon 7 gap overlap square unit octagon 8 nonagon 9 square inch decagon 10 square foot 5. 10.

Linear Measurement measure longest shortest length width height centimeter meter kilometer ruler U.S. Customary Units 1 foot 12 inches 1 yard 3 feet 1 yard 36 inches 1 mile 5,280 feet 9. 2-Dimensional Shapes triangle regular quarter inch square irregular half inch rectangle quadrilateral feet rhombus parallelogram yard trapezoid parallel standard unit kite intersecting non-standard unit pentagon perpendicular hexagon congruent octagon similar decagon symmetrical side line segment vertex/vertices point attributes ray properties angle Metric Units 1 cm 10mm 1m 100 cm 1m 1,000 mm 1km 1,000 m 6.

Mass Time heavy equal weight heavier weighs more heaviest weighs less light scales lighter gram (g) lightest kilogram (kg) balance ounce pound U.S Customary Units 1 pound 16 ounces 1 ton 2,000 pounds Metric Units 1 metric ton 1,000 kilograms 1 kilogram 1,000 grams It took . . to balance the . The .weighs more than the . The . weighs less than the . The . was the heaviest. The . was the lightest. 7. clock stopwatch second morning minute afternoon hour evening o’clock day quarter past week half past month quarter to year elapsed time noon time interval The time elapsed between and is . 8.

3 7 10 addition 3 7 10 addend total 3 7 10 sum

86 - 32 54 86 - 32 54 86 - 32 54 40 - 28 12 minuend 120 - 40 80 subtrahend 100 - 30 70 difference

48 - 30 18 subtract ? 2 8 6 x ? 30 unknown quantity 3 7 10 10 – 7 3 3 x 4 12 12 4 3 inverse operation

6 7 13 20 4 5 equation 6 x 5 30 fact family 20 - 5 15 3 x 5 15 5 x 3 15 15 5 3 15 3 5 related facts Estimate the sum: It’s about 140 60, 139 61 or 200. estimate

column row This array has 3 rows and 4 columns. 3 x 4 12 array 4 x 3 12

3 x 6 18 multiply 4 x 6 24 factor 10 x 2 20 2 x 9 18 product

addition subtraction operations multiplication division 3x6 expression 4 7x3 Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 multiple

20 4 5 8 24 3 15 divided by 5 is 3 divide First: Multiply and divide from left to right Then: Add and subtract from left to right 6 4)24 14 6 x 3 k order of operations 28 – 8 4 b numbers that are easy to compute mentally 28 – 3 2 m 796 - 197 is about 800 - 200 600 compatible numbers

15 3 5 dividend 20 4 5 divisor 18 2 9 quotient

number line An even number can always be broken into pairs with no leftovers. even An odd number has one leftover that cannot be paired with another object. odd

open number line equal groups To solve this problem I strategy

pattern 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 Rule x6 Hours earned 2 12 3 18 4 24 5 30 6 36 4, 8, 12, 16 Rule 4 rule 5, 10, 15, 20, 25, 30, . sequence 3, 6, 9, 12, 15, 18, .

5, 10, 15, 20, 25, 30 The third term in the sequence is 15. term increasing decreasing

greater than 245 148 198 204 fewer less than Thousands 6 Hundreds 2 Tens Ones 3 5 place value

78 ones place 23 46 tens place 89 284 647 hundreds place

2584 4324 thousands place 51 digit digit digit Round 48 to the nearest ten. 48 falls between 40 and 50 on the number line. It is closer to 50 so it would be rounded to 50. round 50 48 45 40

10 100 ten hundred 1,000 thousand

82 29 standard form 123 2500 79 seventy nine word form 256 two hundred fifty six 245 200 40 5 expanded form

3 4 fraction 1 2 fraction greater than one 0 1 4 2 4 3 4 8 4 1 fraction model

2 2 whole one half one third 4 4 1 2 1 3

quarter one fourth one sixth one eighth 1 4 1 6 1 8

the count of the number of equal parts numerator the number of equal parts denominator 1 4 1 3 1 3 2 4 unit fraction 1 2 1 6

3 is equivalent to 6 4 8 equivalent fractions 1 4 3 4 compare 0 equal parts 1

Start time How long was the movie? End time elapsed time . 24 hours 1 day hour 60 minutes 1 hour minute

60 seconds 1 minute second 4:00 o’clock 4:30 half past

5:15 quarter past 2:45 quarter to noon 12.00 p.m. 12:00

morning a.m. p.m. afternoon evening

week month January February March April May June July August September October November December year

height length width

perimeter ruler tape measure

centimeter 100 cm meter 1,000 meters 1 kilometer kilometer

1 inch inch 12 inches foot Approximate length of 1 sheet of paper 3 feet yard 36 in.

1 mile 5,280 feet mile half inch quarter inch

area tiling 1 square unit square unit

1 in.² 1 in. 1 in. 1 in. square inch 1 in. 1 ft.² 1 ft. 1 ft. 1 ft. square foot 1 ft. 1 cm² 1 cm 1 cm 1 cm square centimeter 1 cm

1m ² 1 m. 1 m. 1 m. square meter 1 m. all edges meet at right angles rectilinear figure capacity liquid volume

1 gallon 4 quarts 1 quart 2 pints quart 1 pint 2 cups pint 1 gallon 4 quarts gallon

1000milliliters 1 liter milliliter 1 liter 1000milliliters liter halfway

measure standard unit The crayon is about 5 paperclips long. nonstandard unit

balance scales weight mass lighter

heavier A paperclip weighs about one gram gram 1 kg 1000 g kilogram

Candy Bars Type Number in Box Chocolate 1111 tally chart Peanut 1111 1111 11 Favorite Peanut Butter Smooth Crunchy Key: 2 children picture graph Class Pets 8 6 4 2 0 bar graph Dog Cat Bird

line plot minimum least maximum most

Ben’s Toy Cars Red scale Yellow Blue 0 2 4 6 8 10 12 14 scale Our Pets key Dogs Cats Key: 2 children Number of Muffins Sold Type Number Chocolate 12 Vanilla 34 frequency table

square triangle rectangle

kite rhombus trapezoid

4 quadrilateral 5 6 pentagon hexagon

8 octagon 2 pairs of parallel sides parallelogram quadrilateral 10 decagon

2-dimensional Venn diagram symmetrical

90 90 perpendicular parallel intersecting

closed shape open shape endpoint

line segment A point ray B C

A triangle has 3 sides. side A square has 4 sides. vertex/vertices angle

congruent similar Square: four 90 angles, equal sides, opposite sides are parallel attributes

Commutative Property of Addition Changing the order of the addends does not change the sum. 3 5 5 3 Commutative Property of Multiplication Changing the order of the factors does not change the product. 3x2 2x3

Associative Property of Addition Changing the grouping of 3 or more addends does not change the sum. (2 8) 4 2 (8 4) Associative Property of Multiplication Changing the grouping of 3 or more factors does not change the product. (2 x 3) x 4 2 x (3 x 4)

Additive Identity Property of 0 The sum of any number and zero equals the number. 7 0 0 7 7 Zero Property of Multiplication The product of any number and zero is zero. 8x0 0x8 0

Multiplicative Identity Property of 1 The product of any number and one equals the number. 7x1 1x7 7 Distributive Property of Multiplication Multiplying a sum by a given number is the same as multiplying each addend by the number and then adding the products. 6 x 8 48 6 x (5 3) (6 x 5) (6 x 3) 30 18 48

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3rd Grade Math Vocabulary Resources 3rd Grade Math Vocabulary Resources contains two resources to promote student independence, develop math vocabulary, and support reading and writing in mathematics. All vocabulary is aligned with the Common Core State Standards. My Math Vocabulary Book contains over 190 essential math words for 3rd Grade.

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