Wayne RESA

Unit PlannerEDM4 Math 4

Wayne Resa - Math / Grade 4 / Mathematics / EDM4 Math 4 / Week 23 - Week 27
5 Curriculum Developers
Unit Abstract

In this unit, students explore the relationship between multiplication and division by developing a method for dividing whole numbers and solving division number stories. They are introduced to protractors and explore using them to measure and construct angles.The following big ideas will be covered in this unit:

- Flexible methods of computation for divisioninvolve taking apart and combining numbers in a variety of ways, which require deep understanding of the operations and the properties of the operations.

-Multiplication can be used to find the quotient of multi-digit division problems. (Partial Quotients, Multiplying Up, Area Model)

-Remainders can be interpreted differently depending on the context of the division problem.

- A two-column chart can be used to convert from larger to smaller units and record equivalent measurements. (Customary system - mass)

-A protractor is a tool used to measure angles.

-Angle measures can be added or subtracted.

-The meanings of the operations on fractions are the same as the meanings for the operations on whole numbers. (multiplication of fractions with whole numbers)

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Expectations/Standards
MI: Mathematics
MI: Grade 4
Operations & Algebraic Thinking
4.OA.A. Use the four operations with whole numbers to solve problems.
4.OA.A.3. Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Number & Operations in Base Ten
4.NBT.B. Use place value understanding and properties of operations to perform multi-digit arithmetic.
4.NBT.B.5. Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.NBT.B.6. Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Number & Operations—Fractions
4.NF.B. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
4.NF.B.3c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
4.NF.B.3d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
4.NF.B.4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Measurement & Data
4.MD.C. Geometric measurement: understand concepts of angle and measure angles.
4.MD.C.5a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
4.MD.C.6. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
4.MD.C.7. Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.
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Practice Standards

Students will have opportunities to:

  • Choose appropriate tools (MP. 5)
  • Use tools effectively and make sense of their results (MP.5)
  • 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

-Flexible methods of computation for multiplicationinvolve taking apart and combining numbers in a variety of ways, which require deep understanding of the operations and the properties of the operations.

- Acute, right and obtuse angles can be used as benchmark to estimate angle measurement.

- Angles can be measured by non-standard and standard units.

-A non-unit fraction can be decomposed into smaller parts in more than one way.

-The meanings of the operations on fractions are the same as the meanings for the operations on whole numbers. (addition and subtraction).

Connections to Upcoming Units

- A two-column chart can be used to convert from larger to smaller units and record equivalent measurements. (Customary system – liquid volume)

-A non-unit fraction is a multiple of a unit fraction.

-The meanings of the operations on fractions are the same as the meanings for the operations on whole numbers. (multiplication of mixed numbers with whole numbers)

-Lessons 7-7 and 7-8 focus on using division skills to solve multiple step number stories and problem involving measurements.

-In Unit 8 lesson 8-2 students will use real life problems involving their knowledge of angles as additive.

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Key Terms / Vocabulary

complementary angles, dividend, divisor, extended division facts, full-circle protractor, half-circle protractor, half-dozen, ounce (oz), partial quotient, pound (lb), quotient, reflex angle, remainder, supplementary angle, ton (T), weight, unknown, missing factor, multiply, length, width, area, multiple, friendly number, product, unit fraction, acute angle, right angle, obtuse angle, straight angle, estimate

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.

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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.

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