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Math Grade 3 (Elementary School)

Unit

Essential Questions

Knowledge

Methods

Purpose

Forms

Unit 8 - Mapping Coordinates

(Week 1, 2 Weeks)

  • How do I use a map?
  • What is a scale map?
  • How is a scale map useful?
  • Coordinates
  • Scale maps
  • Predictions of length
  • Checking predictions
  • Length in nonstandard units
  • Length in centimeters and feet
  • Addition and subtraction to make 10
  • Subtraction facts review and assessment: Groups 3 & 4
  • Multiplication strategies for the 2s, 5s, and 10s
  • Locate an object using Mr. Origin coordinates
  • Measure two coordinates of an object, first using footsteps and then rulers
  • Use a scale map to answer some questions about distances
  • Re-create a similar configuration
  • Play a game that uses coordinates
  • Build a tiny TIMS town on desks
  • Record the coordinates of buildings and draw a map using the coordinates
  • Use a map to predict distances
  • Read a book about map reading
  • Play a card game, adding and subtracting numbers to make ten
  • Complete a series of word problems
  • To understand how to use a map
  • To understand what a scale map is
  • To understand how a scale map is useful
  • Discussions
  • Explanations
  • Interpretation of a data table
  • Choice of appropriate tools and methods to calculate
  • Measurements in non-standard units
  • Measurements in centimeters and feet
  • Maps

Unit 1 - Sampling and Classifying

(Week 2, 2 Weeks)

  • What are ways to gather, organize, graph and analyze data?
  • What are appropriate ways to work cooperatively (collaboratively)?
  • TIMS Laboratory Method
  • Variables and Values
  • Classification
  • Multiple solution strategies
  • Problem-solving solutions
  • Bar graphs
  • Samples
  • Predictions
  • Logical reasoning
  • Addition facts review
  • Cooperation - working in groups
  • Gather, organize, graph and analyze data about the length of first names.
  • Do mental computation while playing a simple game.
  • Take a sample and make predictions using the TIMS Laboratory Method.
  • Design and solve puzzles.
  • Discuss the difference between cooperative learning and cheating.
  • Work together to arrive at solutions.
  • Solve word problems involving addition and subtraction.
  • Represent the elements of a laboratory investigation in a drawing.
  • Make predictions based on data.
  •  
  • To understand the TIMS Laboratory Method
  • To understand the differences between cooperation and cheating
  • Discussions
  • Explanations
  • Drawings
  • Bar graphs
  • Predictions
  • Multiple strategies
  • Sorted and classified objects
  • Identified variables and values
  •  

Unit 2 - Strategies: Assessment Unit

(Week 4, 3 Weeks)

  • What is problem solving?
  • What are different strategies for solving problems?
  • What are different means of communicating reasoning?
  • Addition and subtraction facts
  • Subtraction facts for Groups 1 and 2
  • Number sense
  • Origin of magic squares
  • Magic squares
  • Data collection, organization, and graphs
  • Bar graphs
  • Graph interpretation
  • Student Rubric: Knowing
  • Problem-solving solutions
  • Assessment of problem solving
  • Partition numbers
  • Rearrange addends
  • Use strategies with addition facts
  • Spin two spinners to randomly generate addition sentences
  • Record facts in data tables
  • Graph the number of times they spin and each sum
  • Listen to the story Yu the Great: A Chinese Legend
  • Solve magic squares
  • Review subtraction facts through the use of strategies
  • Spin two spinners and randomly generate subtraction sentences to find the most common difference
  • Use Subtraction Flash Cards and the Subtraction Facts I Know chart as a means of self-assessment
  • Solve word problems given a list of items and prices
  • To understand problem-solving
  • To understand different strategies for solving problems
  • To communicate mathematical reasoning
  • Discussions
  • Explanations
  • Bar graphs
  • Predictions
  • Knowing Rubric
  • Interpretations of bar graphs

Unit 3 - Exploring Multiplication

(Week 6, 2 Weeks)

  • What is multiplication?
  • How does multiplication help us in the world?
  • Multiplication as repeated addition
  • Partitioning
  • Multiplication fact strategies for 2's and 3's
  • Subtraction facts for groups 3 and 4
  • Use data from Unit 1
  • Solve problems about decorating T-shirts with first names
  • Make lists and write multiplication problems
  • Investigate patterns
  • Write multiplication stories
  • Illustrate with pictures multiplication problems
  • Use manipulatives
  • Use counters as a model
  • Partition the number of students in a class into teams of equal size
  • Write number sentences
  • Translate dates on the calendar into number sentences that involve a product and a remainder
  • Work on word problems involving multiplication and division
  • To understand that multiplication creates a shortcut and a faster calculation than repeated addition
  • Models
  • Multiplication stories
  • Discussions
  • Explanations
  • Unit assessments
  • Bar graphs
  • Photographs of manipulatives as representations
  • Drawings

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