Math Puzzle!

Take the digits 5, 4, 3, 2 and 1, in that order. Using those digits and the four arithmetic signs — plus, minus, times and divided by — you can get 1 with the sequence 5 – 4 + 3 – 2 – 1. You can get 2 with the sequence (5 – 4 + 3 – 2) x 1.

The question is … how many numbers from 1 to 40 can you get using the digits 5, 4, 3, 2, and 1 in that order along with the four arithmetic signs?

You can group digits with parentheses, as in the example. There are no tricks to this, though. It’s a straightforward puzzle. How many numbers from 1 to 40 can you get — and, specifically, what number or numbers can you not get?

Problem of the Week Grades 1-3

If the letter a= 1 cent, b= 2 cents, c= 3 cents, and so on up to z= 26
cents, how many $1.00 words can you make


Arrange all the integers from 1 to 9 in such a way that the numbers total
100 exactly.  

Here's an example:

     12 + 3 + 4 + 5 - 6 - 7 + 89 = 100

You don't have to keep the numbers in order and you can use any 
operations to get your answer. 

How many combinations can you find?
 

Tessellations

The second graders are working on creating tessellations.  After learning about planes and adjacent vertices, they drew and cut-out their own stencils to make tessellations.  They have learned to determine which polygons will make tessellation and which will lead to gaps and overlaps!  Next, they will be investigating three-dimensional shapes, surface area, and volume!

photo 3 photo 1 photo 2 photo 4 photo 5

Transformation on Coordinate Planes

The second grade students have been learning about transformations.  They can transform images through rotations, reflections, and translations.  Eventually, they will apply their knowledge to transformations on a coordinate plane.  Because of this, we worked together to identify the x-axis and y-axis so that they could plot ordered pairs.  In anticipation for Thanksgiving, they are creating a mystery image by plotting coordinates.  We will have to wait until after break to uncover the image!

Lines of Symmetry

The second grade Math Navigate classes started their geometry unit.  They have been exploring lines of symmetry and symmetrical shapes.  Using mirrors, they have discovered that some shapes are not symmetrical while others have an infinite amount of lines of symmetry.  They will be putting their knowledge of symmetry to good use in this week’s math task!  Next week they will start looking at reflections, rotations, and translations!