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What’s it Worth? Computation/Geometry: Calculating the Cost of Your Shapes: A TIU Fourth Grade Enrichment Lesson

Lesson Plan

What’s it Worth? Computation/Geometry: Calculating the Cost of Your Shapes: A TIU Fourth Grade Enrichment Lesson

Grade Levels

4th Grade

Course, Subject

Mathematics
  • Big Ideas
    Measures can be estimated by using known referents.
    Numerical quantities and calculations can be estimated by using numbers that are close to the actual values, but easier to compute.
    Some attributes of objects are measureable, e.g., length, mass, capacity, and can be quantified.
    Spatial reasoning and visualization are ways to orient thinking about the physical world.
    The same number sentence (e.g., 12 - 4 = 8) can be associated with different concrete or real world situations, AND different number sentences can be associated with the same concrete or real world situation.
    There are some mathematical relationships that are always true and these relationships are used as the rules of arithmetic and algebra and are useful for writing equivalent forms of expressions and solving equations and inequalities.
    Two- and three-dimensional objects can be described, classified, and analyzed by their attributes, and their location can be described quantitatively.
    Geometric relationships can be described, analyzed, and classified based on spatial reasoning and/or visualization.
    Mathematical relationships among numbers can be represented, compared, and communicated.
    Mathematical relationships can be represented as expressions, equations, and inequalities in mathematical situations.
    Numerical quantities, calculations, and measurements can be estimated or analyzed by using appropriate strategies and tools.
    Patterns exhibit relationships that can be extended, described, and generalized.
  • Concepts
    Base Ten System: Place value - base 10 system to 100,000s place
    Estimation: Products, sizes, distance
    Polygons: Area and the relationships between the different polygons
    Sequence: Numbers and objects
    Symmetry: Mirror
    Geometric Shapes and Figures
    Number Theory
    Place Value and Properties of Operations
  • Competencies
    Apply increasingly sophisticated strategies to solve multiplication and division problems that include, and go beyond, basic facts and one-digit multiplier problems, using properties of addition and multiplication. Select and apply appropriate strategies to estimate and/or solve a variety of problems, including problems involving addition and subtraction of decimals and of fractions with like denominators.
    Understand area as a measurable attribute and select appropriate units, strategies (e.g., decomposing) and tools to solve problems or make estimations. Use properties of 2-dimensional shapes to find the area of polygons; connect the area/array model of multiplication to the area formula for rectangles, and use this connection to justify the formula.
    Classify shapes by properties of their lines and angles.
    Compare and round multi-digit numbers.
    Demonstrate an understanding of multi-digit whole numbers.
    Draw and identify lines and angles.
    Perform multi-digit arithmetic.
    Recognize symmetric shapes and draw lines of symmetry.
    Recognize that a whole number is a multiple of each of its factors.
    Represent and solve problems verbally as equations.
    Use factors to represent numbers in various ways.

Rationale

The purpose of this lesson is to provide enrichment for students who have achieved mastery in adding with decimals/money and identifying two dimensional figures.

Vocabulary

Triangle- A three-sided polygon

Square- A four-sided polygon with four congruent sides

Rectangle-A four-sided polygon with two sets of congruent sides

Pentagon- A five-sided polygon

Hexagon- A six-sided polygon

Parallelogram- A four-sided polygon with two sets of parallel sides

Polygon- A closed two-dimensional shape with all straight lines

Objectives

  • The students will add decimals/money correctly.
  • The students will identify two dimensional figures

Lesson Essential Question(s)

How are relationships represented mathematically?
How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems?
How can geometric properties and theorems be used to describe, model, and analyze situations?
How can mathematics support effective communication?
How can patterns be used to describe relationships in mathematical situations?
How can recognizing repetition or regularity assist in solving problems more efficiently?
How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving?
How is mathematics used to quantify, compare, represent, and model numbers?
What does it mean to estimate or analyze numerical quantities?
What makes a tool and/or strategy appropriate for a given task?
When is it is appropriate to estimate versus calculate?
  • Where in the real world can I find shapes?
  • In what ways can I match solid geometric figures to real-life objects?
  • How can I represent various amounts of money using decimal notation and the symbols for cents or dollars?

Duration

This lesson will take approximately two 40 minute periods. 

Materials

  • Shape key   
  • Colored construction paper
  • Price tag for amount spent on entire picture
  • Show your Work Page
  • Assessment Page
  • Teacher Made Example
  • Scissors
  • Glue
  • A triangle, square, rectangle, parallelogram, pentagon and hexagon with price tags ranging from one cent to 99 cents.

Suggested Instructional Strategies

Instructional Practice:  Active Participation, Independent Practice, Hands-On Activity, Tactile Learning

 

Webb’s Depth of Knowledge:  Skill/Concept, Strategic Thinking, Extended Thinking

W: WHERE/WHY/WHAT

This lesson is most appropriate for students who need enrichment in adding decimals and money.  The lesson is also appropriate for students needing additional practice and/or enrichment with polygons.

H: HOOK

This lesson will allow students to have the opportunity for enrichment in adding money/decimals and identifying polygons.  The students who do not love math, but may enjoy art, will have a chance to bring them together. Students will also have the chance to apply math to a real-world activity.

 

E: EXPLORE/EXPERIENCE/EQUIP

 

Students will have the chance to use decimals/money and polygons to build a picture of a real-life object.

 

R: RETHINK/REHEARSE/REVISE/REFINE

 

While taking part in the activity, students will be able to fine tune their decimal addition skills.  Students will need to continually add and delete polygons to get their set price to spend on their picture.

 

E: EVALUATE

 

Students will be informally assessed during activity via teacher observation.  Students will be formally assessed via the teacher-made checklist.

T: TAILORED

This lesson is tailored to a fourth grade student who has mastered the basic skills of addition of decimals through tenths and has been introduced to the different types of polygons. Students will be able to tailor the difficulty of their pictures by using more (or fewer) polygons.

O: ORGANIZED

 

Activity is review/enrichment lesson.  The lesson is organized into introduction, modeling, independent activity and assessment.

Instructional Procedures

  1. Teacher will have shapes (triangle, square, rectangle, pentagon, parallelogram, and hexagon) in front of class.  Teacher will ask volunteers to name the shapes.
  2. Teacher will have shapes in front of class with price tags on them.  Teacher will have the students add the prices of the shapes for a total cost. Teacher will then take two shapes away.  Teacher will have students add up prices to get new total.
  3. Teacher will then share teacher-created picture made with target shapes.  (Teacher should have prepared in advance a picture of a house, robot, city, etc…) The price tag should be attached to picture. Teacher will share the criteria of the shape key to identify costs for each shape.
  4. Teacher will guide students through adding the prices of the shapes in example picture.
  5. Teacher will explain to students that they will be creating a picture using the polygons from the shape key only.  The shapes may be any color or size, but they can only use those specific shapes. The teacher will tell the students that they will be assigned a price.  They will have to spend that exact amount on their picture.
  6. Teacher will assign every student an amount that needs to be spent on picture.  This can be anywhere from 99 cents to $5.00.  (The students needing a more challenging activity should be assigned the largest amounts.)
  7. Teacher will share assessment checklist for students to self-assess throughout creation.

Formative Assessment

Related Materials & Resources

http://www.math-play.com/soccer-math-adding-decimals-game/adding-decimals-game.html

Students can practice adding decimals while playing a fun, interactive soccer game.

 

 

http://www.math-play.com/types-of-poligons.html

Students can practice naming polygons while playing a fun, interactive game.

 

Author

Kelly Flemm

Date Published

July 18, 2014
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