Last updated: 4/30/2024

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NYS-Math-Grade 3 -Quarter 2

How does understanding patterns, sequences and functions help us to solve problems?

How is multiplication used and what does it mean?

Understand the concept of  Multiplication 

(3 weeks)

Resources

Suggested Literature:

  1. One Hundred Hungry Ants by Elinore Pinczes

  2. Too Many Kangaroo Things to Do!  by Stuart J. Murphy

Lessons:

  1. All About Multiplication This unit involves 8 lessons where students investigate multiplication and build an understanding of the process and properties. Each lesson includes questions to guide student work, as well as suggestions for assessment at each step. Students write story problems and connect with literature. Additional websites are provided, where students can be involved in online practice of multiplication skills.

  2. Marilyn Burns Activities About Teaching Mathematics (K-8)
  • The Chopstick Problem (page 195)
  • Things That Come in Groups (page 195)
  • How Long? How May? (page 201)
  • Calculator Patterns Calculator Patterns.docx (page 200)
  • Billy Wins a Shopping Spree (page 200)

Assessments

  1. What Do I Know About Multiplication.docx

  2. Journal Prompts_Q2.docx

  3. One Hundred Hungry Ants Activity_ Evaluation.docx

  4. Odd and Even Investigation.docx

  5. Calculator Patterns.docx

  6. 3rd_Grade_Assessment_3_2_MD_1.pdf

  7. Skills Evaluation Chart_Multiplication.docx 
(1) NY-3.OA.1 Interpret products of whole numbers.

(1 week)

Students will be able to:

  1. Use grouping to understand multiplication and products of whole numbers.

  2. Express groupings and products in number sentences (3 groups of 2 is represented by 3 x 2 = 6)

Resources

Activities:

  1. arraypicturecards.pdf This printable multiplication activity has students create word problems and number sentences to match an array.

  2. Multiplication_Addition_Stories.doc This printable relates multiplication and addition sentences to word problems.  This activity could be used in a small group were each student has one card a number sentence or word problem and they need to find the partner who has the matching number sentence or word problem.  It calso could be an independent matching game.
(2) NY-3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

(1 week)

Students will be able to:

  1. Solve for the unknown factors and products (whole numbers) in a multiplication equation.

Resources

Activities:

  1. missingnumbersmultiplication.pdf This printable gives students practice finding missing factors and products.  This would make a good center or station activity.

  2. Finding the Missing Factor provides online practice finding the missing factor in multiplication equations.
(1) NY-3.NBT.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations.
(1) NY-3.OA.5 Apply properties of operations as strategies to multiply and divide.
(1) NY-3.OA.9 Identify and extend arithmetic patterns (including patterns in the addition table or multiplication table).

(1 week)

Students will be able to:

  1. Understand the properties of multiplication (commutative, associative, distributive)

Resources

Lessons/Resources:

  1. Multiplication Properties This site provides information about the four multiplication properties.

  2. Multiplication Properties Lesson This lesson gets students up out of their seats.

  3. Odd and Even Investigation.docx This discovery lesson provides students the opportunity to develop an understanding of odd and even numbers.

Activities:

  1. Multiplication Basketball In this online game students practice their understanding of multiplication properties.

  2. rollarule.pdf This printable pattern game would be great for center or individual practice.

  3. patternsinthemultiplicationtable.pdf Use this printable activity to discover number patterns on a multiplication table.

  4. drawingmultiplicationpatterns.pdf This printable activity could be used to develop a better understanding of multiplication and its patterns.

  5. Multiplying By Multiples of Ten is a site that provides online practice for  multiplying by multiples of 10.

  6. More Multiplying by Ten is a site that provides more practice mutiplying by multiples of 10 using strategies and patterns.

  7. multiplesoftenmultiply.pdf is a printable card game for students to practice multiplying by multiples of 10.

When do we use division in our everyday lives?

What does it mean to divide?

Understand the concept of Division

(3 weeks)

Resources

Literature:

  1. Divide and Ride by Stuart J. Murphy

  2. The Doorbell Rang by Pat Hutchins

Assessments

  1. What Do I Know About Division.docx

  2. Journal Prompts_Q2.docx
  1. The Doorbell Rang/_lesson_plan.pdf

  2. equal rows in a marching band.pdf
(1) NY-3.OA.2 Interpret whole-number quotients of whole numbers.

(1.5 weeks)

Students will be able to:

  1. Find quotients by creating equal groups.

  2. Express groupings and quotients in number sentences.

Resources

Activities:

  1. Marilyn Burns Activities About Teaching Mathematics (K-8) 
  • Division Sharing Problems (page 204)  provides many grouping problems for student sto discover division.
  • The Doorbell Rang/lesson_plan.pdf  (page205) provides guidance to toteaching grouping as you read this story.
  • Division Grouping Problems (page 206) provides many division grouping problems for student to investigate.
  • Leftovers (pages 208-209) is a division game.
  1. Making Equal Groups This website provides information and activities to use when teaching division.

  2. Division Using Counters This site provides visuals that show how to group using counters. It also provides division practice problems online.
(2) NY-3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
(1) NY-3.OA.6 Understand division as an unknown-factor problem.

(1.5 weeks)

Students will be able to:

  1. Determine the unknown number in a division sentence.

  2. Write division equations using numbers and symbols.

  3. Discover the relaionship between division and multiplication.

Resources

Activities:

  1. Basic Skills:  Division This site provides information about a division equations.  It show how to relate division to mutliplication and provides online division practice.

  2. what is the missing number division.pdf

  3. division-as-unknown-factor.pdf This is a printable activity that allows students to use multiplication to help them divide,

 

 
(1) NY-3.OA.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.
(1) NY-3.OA.8 Solve two-step word problems posed with whole numbers and having whole-number answers using the four operations.
(1) NY-3.OA.8a Represent these problems using equations or expressions with a letter standing for the unknown quantity.
(1) NY-3.OA.8b Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

What questions can be answered using multiplication and division?

How do we become better problem solvers?

Understand the Relationship Between Multiplication and Division

Solve 2-Step word Problems Involving Multiplication, Division, Addition, Subtraction

(1 week)

Students will be able to:

  1. Create Fact Families to understand the relationship between division and multiplication.

  2. Solve multiplication and division word problems.

  3. Learn strategies to solve word problems.

  4. Solve 2-step word problems involving addition, subtractions, multiplication and division.

Resources

  1. Problem Solving Strategies provides instuctors with strategies to teach problem solving.

Activities:

  1. Using Inverse Operations (Fact Families) This site provides examples and practice in learning inverse operations.

  2. Fact Families Building fact families for multiplication and division web-game.

  3. two step wordproblems.pdf Printable word problems to practice multiplying and dividing.

  4. Word Problem Templete.docx This is a printable template to help students solve two step problems.

Assessments

  1. Student Survey_problemsolving.docx (Have students complete this before and after the unit.)

  2. Journal or Discussion:What does a good problem-solver do and know?

  3. Observe and ask question to students during problem solving  time.

  4. Word Problem Templete.docx Have students complete one problem a day and record in a journal using this.

  5. ProblemSolvingRubric.pdf
(1) NY-3.OA.7a Fluently solve single-digit multiplication and related divisions, using strategies such as the relationship between multiplication and division or properties of operations.
(1) NY-3.OA.7b Know from memory all products of two one-digit numbers.

What strategies help to mastering multiplication and division facts?

How does my knowledge about multiplication facts help me to solve problems?

Multiplication and Division Fluency

(1 week)

Students will be able to:

  1. Fluently multiply and divide within 100.

  2. Use strategies to memories multiplication and division facts.

  3. Create and use multiplication and division fact families.

  4. Understand properties of operations.

Resources

Lessons/Activities:

  1. Fun 4 the Brain:  Division Games  This site provides many online games for students to practice division.

  2. Using Inverse Operations (Fact Families)  This site provides examples and practice in learning inverse operations.

  3. Fact Families  Students can build fact families for multiplication and division on this web-game.

  4. Multiplication from Memory  This site provides students will an online lesson.  Includes videos, strategies and practice for multiplication.

  5. Times Table Video  This video focuses on answering the question "How Can I Learn My Times Tables?"

Assessments

  1. 3rd_Grade_Fact_Fluency.pdf

  2. Math Baseball /Record students level and score for assessment

  3. Journal Entry_Math Facts.docx/ Rubric_for_Math_Journal (2).doc
(1) NY-3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve one-step word problems involving addition and subtraction of time intervals in minutes.

Why is it important to have standard units to tell time?

Time

(1 week)

Students will be able to:

  1. Know that time is measured in units of hours and minutes.

  2. Measure and read time to the nearest minute on analog and digital clock.

  3. Explain how long a minute is.

  4. Solve addition and subtraction word problems involving time in minutes.

Resources

Lessons/Activities:

  1. Investigate_ How Log is 1 Minute.docx  This discovery activity teaches students to understand how long one minute feels like.

  2. Telling Time  is a lesson that has students make a simple clock that they will use to practice telling time. They will recognize the hour hand, minute hand, and second hand. Students will also understand the significance of a.m. and p.m.

  3. time-i-have-who-has.pdf This is a printable clock reading game to have students practice reading clocks.

  4. Time_Cut and Paste.pdf This printable activity is good practice for matching analog time to a clock.  Good for center/stations.

  5. Word Problem Templete.docx  This graphic organizer guides students through solving word problems using questions.

  6. elapsedtimerulersample1.pdf  Printable ruler is a good visual tool to manipulate when solving problems involving elapsed time.

  7. elapsedtimewordproblems.pdf  Printable elapsed time word problems.  Possible usages:  Use in centers,  solve one each day or independent practice like homework.

Literature:

  1. Clocks and More Clocks by Pat Hutchins

  2. Game Time by Stuart J. Murphy

Assessments

  1. Time_ Assessment.pdf

  2. math_gr34_rubric.pdf

  3. Journal Entry_Time.docx/ Rubric
(1) NY-3.MD.2a Measure and estimate liquid volumes and masses of objects using grams (g), kilograms (kg), and liters (l).
(1) NY-3.MD.2b Add, subtract, multiply, or divide to solve one-step word problems involving masses or liquid volumes that are given in the same units.

How do we measure liquids and solids?

Would your life be different without standard types of measurement for weight and capacity?

Capacity

(1 week)

Students will be able to:

  1. Understand what capacity and mass measure.

  2. Estimate and measure capacity and mass using standard metric units.

  3. Explain the difference between liter and milliliter.

  4. Analyze when to measure capacity with liters and milliliters.

  5. Explain the difference between kilogram and gram.

  6. Solve addition, subtraction, multiplication and division one-step word problems involving mass and capacity in the same units.

Resources

Lessons/Resources:

  1. tfcapacity.pdf  This lesson introduces student to the concept of capacity.

  2. Mass_Lesson.doc  This lesson introduces student to the concept of mass and students will estimate, compare and measure masses of items.

  3. Mass Resource  This is an online resource to understand mass.  It also provides practice questions.  This would be good to teach in a small group.

Activities:

  1. capacity line up.pdf is a discovery capacity activity.  Capacity Lineup_Student Sheet.docx is a printable to use for this activity.

  2. estimating weight.pdf is an weight estimation activity.  / Estimating Weight_Student Sheet.docx is a printable to record students' work.

  3. more or less than a liter.pdf is a partner or group activity to discover the capcity of a liter. / More or Less than a Liter_Student Sheet.docx is a printable to recored students' work.

  4. Mass and Volume Word Problems.docx is a printable worksheet.

Literature:

  1. Room for Ripley by Stuart J. Murphy

Assessments

  1. Volume and Mass_Student.rtf

  2. Volume and Mass_Teacher.rtf

  3. Weight Assessment
Common Core Suggested Glossary

NYLearns Mathematics Glossary: (Grades 3-5)

This glossary contains those terms found in or associated with the Common Core State Standards.  The glossary includes terms that are essential to understanding and developing mastery of the Standards. For additional definitions and terms, please refer to the appropriate Appendices for the ELA/Literacy or Math Common Core State Standards.

Grades 3—8 Mathematics Testing Program Guidance:

Grades 3—8 Mathematics Testing Program Guidance:

In order to assist schools and districts in the curriculum planning process for the April 2013 test administration, the New York State Education Department (NYSED) has developed the following guidance for the Grades 3 - 8 Mathematics Testing Program.

  • MEMO: Math 3-8 Pre & Post Assessment (August 2012) 1
  • DRAFT: Testing Guidance Document (August 17th, 2012) 2
  • TESTING GUIDANCE: Math 3-8 Pre & Post Standards (posted 11/26/12) 3

1From New York State Education Department. Math Pre-Post Memo. Internet. Available from http://e2math.weebly.com/uploads/8/4/6/7/8467476/math_pre-post_memo_-_8-17-12.pdf; accessed 22, March, 2013.

2From New York State Education Department. Math Pre-Post Draft. Internet. Available from http://e2math.weebly.com/uploads/8/4/6/7/8467476/math_pre-post_attachment_-_draft_8-17-12.pdf; accessed 22, March, 2013.

3From New York State Education Department. NYS Grades 3-8 Mathematics Common Core Learning Standards Testing Program Guidance—September-April/May-June. Internet. Available from http://www.p12.nysed.gov/assessment/ei/2013/math-sept-april-may-june.pdf; accessed 22, March, 2013.

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