Young children are taught to read in school, but by the 4th grade they are expected to "read tolearn". This is not formally taught! One of the things I do in my tutoring practice is to focus understanding what is read and how to "read to learn".

Many students' self esteem is tied to "being ahead in math" because they have received praise in the past. Some parents, teachers and administrators put pressure on students to take more higher math courses, to take Algebra in elementary or middle school
and even to skip geometry in the rushed march to AP Calculus.
I believe this is a mistake!
More often than not,...
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A six year old makes a rainbow using only a garden hose; I captured it using iMovie, then my ten year old student adds music and edits it!

How do we know which square is larger? ACEF (because its diagonal AE is longer than its side AC, which happens to be the
diagonal of ABCD). Comparing the large square to the small square the ratio of similarity is √2, so the ratios of the areas is √2 squared, 2. So the larger square has twice...

The area of a square with sides of 8 ft is 64 square feet. Use the formula for area of a square: A=s*s
Answer is 64 square feet

If a square has area 16 square cm, then each of its sides is 4. Use the Pythagorean theorem to find the diagonal of this square measures 4√2 cm. If you square 4√2 you get 32.
Answer if 32.

Most everyone knows the Pythagorean Theorem and you can use it to solve this problem. Where is the right triangle? Connect the points (-2,4), (1,0) and (-2,0). One leg measures 3, the other leg measures 4, so the hypotenuse is 5! Five is the length of half
PQ, so the whole line segment PQ is...