Measure the length of the notepad and desk in millimeters and centimeters and their mass in kilograms and grams. Notice how the precision and accuracy differ for each measuring device.
Create several rectangles with areas of 16 square units and calculate the perimeter. Predict how the length and width of the rectangle affects the perimeter.
What opportunities for learning are offered by having students work on a problem using both arrays and fractions?
Decide whether or not using an array is the best way to solve a problem.
Classify the different types of numbers we use, and learn how numbers and operations relate to one another. Start with counting numbers and then add integers, rationals, algebraic, and, finally, real numbers to the line.
Statistical analysis allows us to organize data in different ways to draw out potential patterns in the variation. Review and compare data represented in a bar graph and accompanying tables depicting relative and cumulative frequency.
Control the slope of lines passing through the origin (0, 0). Keep track of what changes when the slope becomes positive or negative, and when slope is larger or smaller than 1.
Do figures with the same area have the same perimeter? Arrange and rearrange 12 square tiles on a grid, and then measure the perimeter of each shape you create.
Use a "linkage strip" to to build quadrilaterals with different sets of lengths. Once you build a quadrilateral, see if you can deform it into a different quadrilateral with the same side lengths.
Use a "linkage strip" to build triangles with different side lengths. When you build a triangle, see if you can deform it into a different triangle while keeping the side lengths the same.
Count the number of raisins in seventeen half-ounce boxes of raisins. Then come up with a solution to determine how many raisins are in Brand X's or Brand Y's box of raisins.
Is there a relationship between the volume of a sphere and the volume of a cylinder of equal diameter and height? What about the volume of the sphere and the cone?
