Furthering Fifth

        In unit nine, students are practicing naming and locating ordered number pairs on a coordinate grid. Whole numbers, fractions, and negative numbers will be used as coordinates. 

     We will review formulas for perimeters and areas of rectangles, parallelograms, triangles and expand our knowledge to included irregular shapes. We will examine how area, perimeter, and angle measurements are affected when a figure is changed by mathematical transformations. These transformations resemble changes and motions in the physical world. In some transformations, figures are enlarged in one or two dimensions; in other transformations, figures are translated (slid) or reflected (flipped over).

     We will look at volume (the amount of space an object take up) and capacity (the amount of material a container can hold). Students will develop a formula for the volume of a prism (volume = area of the base times the height). They observe the metric equivalents 1 liter= 1,000 milliliters = 1,00 cubic centimeters, and will practice making conversions between U.S. customary measures (1gallon = 4 quarts).

Vocabulary for Unit 9

      area, axis, capacity, coordinate, coordinate grid, formula, height, latitude, longitude, opposite of a number, ordered number pair, perpendicular, rectangle method, transformation, variable, volume

Objectives

  • Plot ordered pairs on a for-quadrant coordinate grid.

  •  Understand the concept of volume of a figure.

  • Use a formula to find the volume of prisms.

  • Plot ordered pairs on a one-quadrant coordinate grid.

  • Identify the base and height of triangles and parallelograms.

  • Use a formula to find the area of rectangles, triangles and parallelograms.

  • Understand the concept of area of a figure

Games

  •  Hidden Treasure: This game for 2 players provides practice using coordinates and coordinate grids on 1-quadrant playing grids with axes labeled for 0 to 10. It also offers the opportunity for players to develop good search strategies.

  •  Advanced Hidden Treasure: Players use a 4-quadrant grids with axes labeled from -7 to 7. Practice is extended to coordinates and grids that include negative numbers.

Activities

  •  Find an atlas or map that uses letter-number pairs to locate places. (For example, an atlas might say the Chattanooga, Tennessee is located at D-9.)  Use the letters number pairs to locate places you have visited or would like to visit.

  • Estimate the area of a room in your home. Use a tape measure or ruler to measure the room's length and width, and multiply to find the area. Make a simple sketch of the room, including the length, the width, and area. You can find the area of other rooms, or even of your entire home!

 

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Author:  Mary Beth Mirock
Created: 22 October, 2004
Updated: 21 August, 2009