Wayne RESA

Unit PlannerEDM4 Math 4

Wayne Resa - Math / Grade 4 / Mathematics / EDM4 Math 4 / Week 5 - Week 8
5 Curriculum Developers
Unit Abstract

In this unit, students explore various applications for multiplication. They classify shapes by properties and develop formulas for area and perimeter. The following big ideas are covered in this unit:

 

  • In multiplicative comparison problems there are two different sets. The comparison is based on one group being a particular multiple of the other (multiple copies).
  • One type of multiplicative comparison problem is when the product is unknown.
  • Prime numbers have only a factor of 1 and itself.
  • Composite numbers have more than two factors.
  • A whole number is a multiple of each of its factors.
  • The larger units can be subdivided into equivalent units. (time)
  • Two dimensional figures can be classified by angle measurement. An obtuse angle measures more than 90⁰. An acute angle measures less than 90⁰. A right angle measures exactly 90⁰.
  • Right triangles can be a category for classification. It has one right angle.
  • Two dimensional figures can be classified by parallel or perpendicular lines.
  • Some two dimensional figures are symmetric and have lines of symmetry. - - A line of symmetry divides a figure into two congruent halves that are mirror images of each other.
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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.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
4.OA.A.2. Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
4.OA.B. Gain familiarity with factors and multiples.
4.OA.B.4. Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
4.OA.C. Generate and analyze patterns.
Measurement & Data
4.MD.A. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Geometry
4.G.A. Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
4.G.A.2. Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
4.G.A.3. Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
© 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:

  • Explain their mathematical thinking clearly and precisely (MP. 6)

  • Use an appropriate level of precision for our problem (MP. 6)

  • Use clear labels units and mathematical language (MP. 6)

  • Think about accuracy and efficiency when they count, measure and calculate (MP. 6)

  • 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

Previously from 3rd Grade:

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

- In multiplication, one factor counts how many sets, groups, or parts of equal size are involved. The other factor tells the size of each set or part.

- Area is the 2-dimensional space inside a region. It’s measured by tiling.

- When finding the area of a rectangle, the dimensions represent the factors in a multiplication problem.

- The perimeter can be calculated by adding the lengths of its sides.

- Quadrilaterals can be classified according to the lengths of their sides.

Previously from 4th Grade Unit 1:

- Formulas such as, P = 2l + 2w or P = 2(l + w) or P= l + l + w + w can be used to find the sum of the side lengths of a rectangle.

- Geometric figures can be analyzed and classified based on their properties (point, line, line segment, ray and angles).

- Two lines are parallel if they never intersect and are always equidistant.

- Two lines are perpendicular if they intersect in right angles (90°).

Connections to Upcoming Units

- There are different types of multiplicative comparison problems. The group size could be unknown or the number of groups could be unknown.

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

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

- Angle measures can be added or subtracted.

- Lines of symmetry for a 2-dimensional figure occur when a line can be drawn across the figure such that the figure can be folded along the line into matching parts.

- Mirror images of symmetric figures are the same size and have the same shape. They face in opposite directions.

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Key Terms / Vocabulary

Acute triangle, additive comparison, adjacent, argument, attribute, column, comparison statement, composite number, composite unit, conjecture, divisibility, equilateral triangle, factor, factor pair, formula, function machine, input, isosceles triangle, line of symmetry, multiple, multiplicative comparison statement, multiplicative relationship, obtuse triangle, output, prime number, product, properties, quantity, rectangular array, right triangle, row, rule, scalene triangle ,square array, square number, symmetrical, turn-around facts, times as much, multiplication, repeated addition, sets, two-dimensional, halves, equivalent, column, distance, sum, rectangle, pattern

 

Bold: 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.

Grade 4 - Unit 2 - Multiplication and Geometry
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 Objectives and Sentence Stems
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