# Grade 6 Math

Sixth graders become more effective mathematical thinkers and problem solvers by going beyond arithmetic to apply it to complex challenges including the Math Olympiad. In preparation for pre-algebra and algebra, our students study number theory, mathematical structures and representation, whole/part relationships of fractions and decimals, and integers. Estimation, number sense, mental math, and a sense of magnitude permeate the sixth grade curriculum. Big ideas of ratio and proportion, which underpin later mathematics, are formally introduced. Students study geometry as well, learning precise vocabulary, analysis, and measurement of two dimensional figures. The overall focus is on conceptual understanding to accompany proficiency and clear communication to accompany accuracy.

Sixth grade students will:

• develop and efficiently use multiple strategies to solve non-routine problems
• analyze patterns and relationships to increase efficiency
• appreciate the precision of mathematics and its rules and properties, especially in areas using exponents, order of operations, integers, and non whole-number computation
• understand the magnitude of numbers, both small and large, and how operating on them will affect their outcomes
• use number theory to illuminate why mathematical algorithms work
• calculate the measurement of angles, the area and volume of two dimensional figures and structures, and the perimeter and circumference of shapes
• understand big ideas of equivalence and proportionality
• explore the utility of percentages in real world applications and as ways to collect and compare data
• differentiate between situations when precision and estimation are necessary and useful
• compute efficiently, confidently, and accurately
• investigate the difference between theoretical and experimental probability