3-8 Honors Math

Focus Areas

• (1) developing understanding of multiplication and division and strategies for multiplication and division within 100

• (2) developing understanding of fractions, especially unit fractions (fractions with numerator 1)

• (3) developing understanding of the structure of rectangular arrays and of area

• (4) describing and analyzing two-dimensional shapes

Focus Areas

• developing understanding and fluency with multi-digit multiplication,
  and developing understanding of dividing to find quotients involving multi-digit dividends

• developing an understanding of fraction Equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers

• understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry

Focus Areas

• developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions)

• extending division to 2-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations

• developing understanding of volume

Focus Areas

• connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems;

• completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers;

• writing, interpreting, and using expressions and equations; and

• developing understanding of statistical thinking.

Focus Areas

• developing understanding of and applying proportional relationships:

• developing understanding of operations with rational numbers and working with expressions and linear equations;

• solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and

• drawing inferences about populations based on samples.

Focus Areas

• develop fluency writing, interpreting, analyzing, and translating between various forms of linear equations and inequalities.

• build on and extend their knowledge of exponents to explore exponential functions to compare and contrast to linear functions.  They will also interpret arithmetic and geometric sequences.

• analyze data and assess how a model fits data with the use of regression, residual analysis and technology.

• strengthen their ability to see structure in and create quadratic and exponential expressions.

• explore quadratic functions by interpreting various forms of quadratic expressions, and expand their knowledge into those functions that are piece-wise defined.