Wayne RESA

Unit PlannerEDM4 Math 3

Wayne Resa - Math / Grade 3 / Mathematics / EDM4 Math 3 / Week 9 - Week 12
5 Curriculum Developers
Unit Abstract

In this unit, children use place value to develop and practice strategies for addition and subtraction of 2- and 3-digit numbers. They represent multiplication using arrays, and use these representations to develop strategies for solving multiplication facts. The following big ideas will be covered in this unit:

 

- Multiplication and division can be used to solve word problems involving situations involving equal groups and arrays.

- When you multiply two numbers in any order, you will get the same answer.

- Place value strategies that were used for 2 digit addition and subtraction problems can be applied to 3 digit addition and subtraction problems.

- The algorithm for addition is an efficient strategy when computing larger numbers.

- There are patterns and relationships in basic facts. You can figure out new or unknown facts from the ones you already know.

- The Commutative Property can be used to figure out new or unknown facts.

- Multiplication and division have an inverse relationship.

- Data represented on a bar graph and picture graph can be used to solve addition and subtraction problems.

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Expectations/Standards
MI: Mathematics
MI: Grade 3
Operations & Algebraic Thinking
3.OA.A. Represent and solve problems involving multiplication and division.
3.OA.B. Understand properties of multiplication and the relationship between multiplication and division.
3.OA.C. Multiply and divide within 100.
3.OA.C.7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
3.OA.D. Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Number & Operations in Base Ten
3.NBT.A.2. Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
Measurement & Data
3.MD.B. Represent and interpret data.
© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
Practice Standards

 

Students will have opportunities to:

  • Create mathematical representations using numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects (MP.2)
  • Make sense of the representations they and others used (MP.2)
  • Make connections between representations (MP.2)
  • Look for mathematical structures such as categories, patterns and properties (MP.7)
  • Use structures to solve problems and answer questions (MP.7)
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Concepts from Previous Units

- Multiplication is related to addition and involves counting groups of like size and determining how many there are in all.

- Division can be interpreted as finding the number of equal groups or the size of each group.

- Arrays can be used to represent products.

- Charts, tables, and bar graphs are used to display data.

- Graphs are used to compare data.

Connections to Upcoming Units

- The algorithm for subtraction is an efficient strategy when computing larger numbers.

- Multiplication can be used to find unknown division facts. Division names a missing factor in terms of the known factor and the product.

- The Distributive Property can be used to figure out new or unknown facts.

- The Associative Property is used as a strategy to multiply single digit factors with multiples of ten.

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Key Terms / Vocabulary

adding a group, area, friendly numbers, column addition, counting up, equivalent, estimate, expand-and-trade subtraction, expanded form, expression, factors, facts table, function machine, helper fact, input, key, multiplication squares, open number line, output, partial-sums addition, partition, picture graph, precisely, reasonable, rule, scaled bar graph, scaled picture graph, square product, square units, subtracting a group, tile, turn-around rule, place value, hundreds, tens, ones, decompose, patterns, friendly jumps, unknown, array, equal groups

 

Bold Font: Listed in teacher's EDM4 edition

Normal Font: not listed in teacher’s edition as a vocabulary word but will be helpful for students in explanations

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Lesson Plan Sequence

The following lesson plan sequence is obtained from Everyday Mathematics 4. Each lesson is aligned with a learning objective to inform the teachers on what students should be able to at the end of the lesson. The student objective informs the students of their learning goals for the day and it should be reviewed before, during and at the end of the lesson. Each lesson includes a mathematics task that should be implemented to meet the learning objectives. Teachers can select from the practice opportunities to reinforce the learning goals of the day.

Gr 3 - Unit 3: Operations
Monitoring Student Work Tool
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Language Support

The following language supports are for English Language Learners but could also be used to support any struggling learner in mathematics. The strategies are obtained from the SIOP model. The language objectives will support students' academic language development. The sentence stems and starters provides the support many students need to be able to participate in discussions and writing about mathematics.

Language Supports - Language Objectives and Sentence Stems.doc
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