Math Unit 4 Lesson 2 Decompose and recompose shapes to compare areas.

Slides:

Advertisements

Similar presentations

Side Lengths and Number of Tiles

Advertisements

Quadrilaterals By Mr. Bales Objective By the end of this lesson, you will be able to identify, describe, and classify quadrilaterals. Standard 4MG3.8.

Prisms and Pyramids By Harrison.

5-Minute Check Draw a circle and label the radius with 4 meters. What is the length of the diameter? Draw a circle and label the diameter with 12 inches.

Area of Quadrilaterals

By the end of the lesson, you will be able to…

By the end of the lesson, you will be able to…

Investigate and use the formulas for area and perimeter of rectangles

Investigation #1 Let’s review what has happened so far in this story… A) Thirty-two people are coming to the reunion. B) Mrs. Comfort has ordered 8 square.

2 D shapes only have two dimensions, such as width and length Some are: Polygons and Some are: Not Polygons.

Module 7 Lesson 8 Create a tangram puzzle and observe relationships among shapes.

Multiplication with Base 10 Pieces Modeling Multiplication With your Base Ten blocks, model the problem: 3 x 5 Let’s see the example below… How.

Module 6 Lesson 16.

Quadrilaterals Shapes with 4 sides! We are all quadrilaterals. We all have 4 sides. Remember just like a quad bike.

Areas of Rectangles and Parallelograms

Module 8 Lesson 7 & 8.

Air Racer Design and Layout.

7-6 Quadrilaterals Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

+ Module 7 Lesson 5 Compare and classify quadrilaterals.

Using cartoons to draw similar figures

Math Module 3 Multi-Digit Multiplication and Division Topic A: Multiplicative Comparison Word Problems Lesson 1: Investigate and use the formulas for.

Area Model Unit of Study 6 : Understand Fractions Global Concept Guide: 1 of 3.

Module 7 Lesson 12 Measure side lengths in whole number units to determine the perimeter of polygons. Perimeter: The distance around a two-dimensional.

Interpret area models to form rectangular arrays.

Module 8 Lesson 5. Objective Relate the square to the cube, and describe the cube based on attributes.

Module 6 Lesson 8. Objective Create arrays using square tiles with gaps.

Angles in pattern blocks. Diagonals Joining two nonadjacent vertices of a polygon.

USE ALL FOUR OPERATIONS TO SOLVE PROBLEMS INVOLVING PERIMETER AND UNKNOWN MEASUREMENTS MODULE 7 LESSON 17.

Tangrams Learning Objectives

Geometry How can I describe the attributes of quadrilaterals/shapes?

On A Side Note: Cartoon Drawings Find a cartoon from a newspaper, magazine, or computer. Cut around the edges of your cartoon so the edges are straight.

FIND THE AREA OF A RECTANGLE THROUGH MULTIPLICATION OF THE SIDE LENGTHS MATH UNIT 4 LESSON 8.

Module 6 Lesson 13.

Math Unit 4 Lesson 6 Draw rows and columns to determine the are of a rectangle given an incomplete array.

Triangle Discoveries Work with a part to see what discoveries can you make about triangles.

Ex. s + s + s + s = 4s = 24 ft Perimeter: P = 4 s Perimeter: P = 2l + 2 w Ex. l + w + l + w = (l +w) + (l + w) = (l + l) + (w + w) = 2l.

Math Unit 4 Lesson 10 Solve word problems involving area.

Par Avion Air Mail A I R M A I L Module 4 Lesson 13 Find areas by decomposing into rectangles or completing composite figures to form rectangles. YOUR.

Special Parallelograms

Learn about the quadrilaterals Understand the different types of quadrilaterals Students and Teachers will be able to.

Cartoon Similarity Using cartoons to draw similar figures

1.13 Mental Math 3(1000s)+7(100s)=4(10s)+9(1s) 9 (10,000s)=8(1,000s)+5(100s)=4(10s)+3(1s)= 5(1,000,000s)=9(100,000s)+6(10,000s)+3(1,000s)+7( 100s)+3(10s)+9(1s)=

+ Objective: Lessons 19: Draw kites and squares to clarify their attributes and define kites and squares based on those attributes. By the end of the.

Making the Tangram.

There are many kinds of shapes. Look around you, There are shapes in everything you see.

Building Boxes What is the largest volume open top box that you can build from an 8 ½ by 11 inch sheet of paper?

Division Practice End  In a minute you will write as many DIFFERENT division facts as you can in 3 minutes.  When you’re finished your neighbor will.

Lesson 6.13:.  With your partner, use the tiles in your bag to construct a rectangle with 4 rows of 5 on your personal board.  Tell your partner the.

Start with a 8.5” by 11” sheet of paper. Fold one corner of the paper so that the top of the paper lines up along one side. TOP (Repeat this procedure.

Module 6 Lesson 14. Objective Use scissors to partition a rectangle into same-size squares, and compose arrays with the squares.

{ Module 4 Lesson 3 Model tiling with centimeter and inch unit squares as a strategy to measure area.

Recognize and show that equivalent fractions have the same size, though not necessarily the same shape. MODULE 5 LESSON 20.

Start on the corner of your picture *(Not the corner of the paper)

Gridding BIG Paper One square at a time….

3rd Grade Math Module 7 Lesson 12

3rd Grade Math Module 7 Lesson 8

Shape and One Point Perspective Project

Using cartoons to draw similar figures

Creating a grid by Carl Dellutri.

Using cartoons to draw similar figures

1 1/8” 1 1/8” 1 1/8” 3/8 boarder 1 1/8” 1 1/8” 1 1/8”

Cross section It is supposed a hill has been cut vertically, then we can see the side view, or cross section of the hill A section is a slice vertically.

3rd Grade Math Module 7 Lesson 7

Grade 3 – Module 4 Module Focus Session

Cartoon Similarity Using cartoons to draw similar figures

Multiplication with Base 10 Pieces

Counting Shapes.

Where’s Poly.

Five-Minute Check (over Lesson 1–8) Mathematical Practices Then/Now

Presentation transcript:

Math Unit 4 Lesson 2 Decompose and recompose shapes to compare areas.

Skip Count By 6s To 60 … Skip Count By 7s To 70 … Skip Count by 8s to 80 … Skip Count by 9s to 90 … Skip Count

Problem of the Day Wilma and Freddie use pattern blocks to make the shapes shown. Freddie says his shape has a bigger area than Wilma’s because it is longer. Is Freddie right? Wilma’s shape is made of: 6 triangles 6 rhombuses 1 hexagon Freddie’s shape is made of: 6 triangles 6 rhombuses 1 hexagon Freddie is incorrect!! Both shapes have the same number of pattern blocks, so the shapes take up the same area even though they are arranged differently!

Concept Development Measure your strip of paper. How tall is it? It is 1”tall! Starting at the left edge of your strip, use your ruler to mark inches along the top of the paper. Do the same at the bottom. Use your ruler to connect the marks at the top to the matching marks at the bottom. When you are finished, your strip should look like the one in the bottom picture.

Concept Development How many units make up your strip? Yessiree! 12!!!! What shape are the units on the strips? They are SQUARES because each unit has four sides, and the four sides are all 1 inch long.

Concept Development What is the area of the paper strip in square units? Bingo! 12 square units. Bada Bing! 12 square inches! Because the sides of each square in the strip measure 1 inch, we call one square a SQUARE INCH. What is the are of your paper strip in square inches?

Concept Development Talk to a partner: What is the difference between measuring the strip in SQUARE UNITS and SQUARE INCHES? SQUARE UNITS have 4 sides of any length. SQUARE INCHES have 4 sides of exactly 1” length.

Concept Development NEXT!! Cut your paper strip along the lines you drew. Rearrange your 12 squares into two equal rows. Draw the rectangle in the chart for Problem 1 RECTANGLE A. What is the area of this new shape? It is STILL 12 square inches!

Concept Development NEXT!! Rearrange your 12 squares into THREE equal rows. Draw the rectangle in the chart for Problem 1 RECTANGLE B. What is the area of this new shape? It is STILL 12 square inches!

Concept Development NEXT!! Rearrange your 12 squares into FOUR equal rows. Draw the rectangle in the chart for Problem 1 RECTANGLE C. What is the area of this new shape? It is STILL 12 square inches!

Concept Development How is it possible that all three rectangles have the same area? They were all 12 square inches!! Ooooooh! We used the same squares for each one, So each rectangle has the same area! No matter how we rearrange the squares, there are still 12! The area is 12 square inches no matter how we arrange it.

Problem Set! You can do it!