Sixth Grade Mathematics Curriculum Objectives

2011-2012

Number Sense and Place Value (M6:1, M6:2, M6:3, M6:7) Student demonstrates conceptual understanding of fractions and decimals, and fluently moves between equivalent representations of commonly used fractions and decimals. Student demonstrates understanding of the relative magnitude of numbers by ordering or comparing numbers with whole-number bases and whole-number exponents.

1. Student reads, writes, and understands decimals to the thousandths.
2. Student connects equivalent benchmark fractions and decimals. .
3. Student orders and compares whole numbers with exponents and rational numbers.
4. Student identifies the value of any digit in a number from millionths to millions.
5. Student rounds numbers to the nearest number (hundredth to thousand).
6. Student understands whole number base and whole number exponent.
7. Student uses estimates to evaluate the reasonableness of solutions.

Operations and Computation (M6:4, M6:6, M6:7) Student accurately solves problems involving single or multiple operations on fractions (proper, improper, and mixed) and decimals. Student applies the conventions of operations and the commutative and associative properties of numbers to solve problems and to simplify solutions.

1. Student solves problems involving operations on proper, improper, and mixed fractions.
2. Student solves problems involving operations on decimals.
3. Student solves problems involving percent of a whole, and as discounts, tax, or tips.
4. Student applies the conventions of order of operations with and without parenthesis.
5. Student applies properties of numbers to solve problems and to simplify computations. .
6. Student mentally multiplies and divides whole numbers through twelve.
7. Student uses the commutative and associative properties of operations to solve problems and to simplify operations.
8. Student demonstrates mastery of the 24 basic skills.

Geometry and Measurement (M6:9, M6:11, M6:12,M6:13, M6:14, M6:15) Student uses properties or attributes of angles to identify shapes. Student demonstrates understanding of congruency using transformations, properties of angles, and length of segments. Student demonstrates conceptual understanding of similarity and applies concepts of similarity and scaling to polygons and circles. Student uses units of measures appropriately and consistently.

1. Student uses properties of shapes to identify them.
2. Student understands angles formed from perpendicular and parallel lines.
3. Student understands the relationship between the number of sides and the sum of the angles for regular polygons.
4. Student demonstrates congruency by subdividing, transforming, rotating, reflecting, and measuring.
5. Student understands similarity and scaling of polygons and circles.
6. Student understands perimeter and area of polygons using correct formulas and units.
7. Student understands the relationships of circle measures. .
8. Student understands circumference and area of circles using correct formulas and units.
9. Student measures and uses units of measures appropriately.
10. Student uses properties of angle relationships resulting from two or three intersecting lines.

Functions and Algebra Concepts (M6:19, M6:20, M6:21) Student identifies and extends to specific cases a variety of patterns. Student creates and interprets coordinate graphs. Student demonstrates conceptual understanding of algebraic expressions by substituting values for variables in known formulas (e.g. determine the value of y when x = 4 given y = 3x –2).

1. Student identifies and explains a variety of patterns. .
2. Student substitutes values for variables in known formulas.
3. Student creates a coordinate graph and plots points.
4. Student solves problems and makes predictions using coordinate graphs.

Data, Statistics, and Probability Concepts (M6:23 M6:24, M6:25) Student uses and interprets a given visual representation to make predictions or to solve problems. Student analyzes data by determining and using measures of central tendency. Student organizes and displays data using appropriate visual representations.

1. Student uses and interprets visual representations to solve problems.
2. Student solves problems using measures of central tendency.
3. Student organizes and displays data using appropriate visual representations.
4. Student uses data collection and analysis to solve problems.

Mathematical Problem Solving (M6:30) Student solves problems of increasing complexity. Student accurately uses mathematical language and presentations to communicate solutions and to foster understanding of mathematics.
“Problem solving is not a distinct topic, but a process that should permeate the entire [math] program.” NCTM

1. Student accurately solves grade appropriate problems.
2. Student effectively communicates problem solving steps, strategies, and solutions.