NCTM
Number and Operations Standard
for Grades Pre-K–2

Understand
numbers, ways of representing numbers, relationships
among numbers, and number systems
• count with understanding and recognize "how many" in sets of
objects;

Analyze
characteristics and properties of two- and
three-dimensional geometric shapes and develop
mathematical arguments about geometric relationships
Use
visualization, spatial reasoning, and geometric
modeling to solve problems

Identify
and describe situations with constant or varying rates of change, and compare them.

Use
technology to analyze change; e.g., use computer applications
or graphing calculators to display and interpret rate of change.

Geometry Standard Grades 6-8

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots.

Use observations about differences between two or more samples to make conjectures about the populations from which the samples were taken.

Fractions Standard for Grades 6-8

Work flexibly with fractions to solve problems. Compare and order fractions efficiently and find their approximate locations on a number line.

Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

Recognize and represent proportional relationships between quantities.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios..

A
Maths Dictionary for Kids 2008 by
Jenny Eather. This is a wonderful visual
dictionary with many interactive illustrations.
It is highly recommended for students and
teachers.