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Math 6 Vocabulary


The sixth-grade standards provide a transition from the emphasis placed on whole number arithmetic in the elementary grades to foundations of algebra. The standards include a focus on rational numbers and operations involving rational numbers. Students will use ratios to compare data sets; recognize decimals, fractions, and percents as ratios; solve single-step and multistep problems, using positive rational numbers; and gain a foundation in the understanding of and operations with integers. Students will solve problems involving area and perimeter, and begin to graph in a coordinate plane. In addition, students will build on the concept of graphical representation of data developed in the elementary grades and develop concepts regarding measures of center. Students will solve linear equations and inequalities in one variable, and use algebraic terminology. Students will represent proportional relationships using two variables as a precursor to the development of the concept of linear functions.




1st Nine Weeks Instructional Focus (43 days)

6.4

Recognize and represent patterns with whole number exponents and perfect squares.

6.3abc

a) identify and represent integers;

b) compare and order integers; and

c) identify and describe absolute value of integers.

6.6abc

a) add, subtract, multiply, and divide integers;

b) solve practical problems involving operations with integers; and

c) simplify numerical expressions involving integers.

*On the state assessment, items measuring this objective are assessed without the use of a calculator.

6.1

Represent relationships between quantities using ratios, and will use appropriate notations, such as a/b, a to b, and a:b.

2nd Nine Weeks Instructional Focus (40 days)

6.2ab

a) represent and determine equivalencies among fractions, mixed numbers, decimals, and percents;* and

b) compare and order positive rational numbers.

*On the state assessment, items measuring this objective are assessed without the use of a calculator.

6.8ab

a) identify the components of the coordinate plane; and

b) identify the coordinates of a point and graph ordered pairs in a coordinate plane.

6.12a-d

a) represent a proportional relationship between two quantities, including those arising from practical situations;

b) determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table;

c) determine whether a proportional relationship exists between two quantities; and

d) make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

3rd Nine Weeks Instructional Focus (46 days)

6.9

Determine congruence of segments, angles, and polygons.

6.5abc

a) multiply and divide fractions and mixed numbers;

b) solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers; and

c) solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

*On the state assessment, items measuring this objective are assessed without the use of a calculator.

6.13

Solve one-step linear equations in one variable, including practical problems that require the solution of a one-step linear equation in one variable.

6.14ab

a) represent a practical situation with a linear inequality in one variable; and

b) solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.

4th Nine Weeks Instructional Focus (51 days)

6.7abc

a) derive pi;

b) solve problems, including practical problems, involving circumference and area of a circle; and

c) solve problems, including practical problems, involving area and perimeter of triangles and rectangles.

6.11ab

a) represent the mean of a data set graphically as the balance point; and

b) determine the effect on measures of center when a single value of a data set is added, removed, or changed.

6.10a-d

a) represent data in a circle graph;

b) make observations and inferences about data represented in a circle graph; and

c) compare circle graphs with the same data represented in bar graphs, pictographs, and line plots.

Spiral Review Based on Benchmark and Snapshot Data

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