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6.NO
Number, operation, and quantitative reasoning.
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6.111.22.6.1
The student represents and uses rational numbers in a variety of equivalent forms.
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6.111.22.6.1.A
compare and order non-negative rational numbers;
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6.111.22.6.1.B
generate equivalent forms of rational numbers including whole numbers, fractions, and decimals;
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6.111.22.6.1.C
use integers to represent real-life situations;
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6.111.22.6.1.D
write prime factorizations using exponents;
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6.111.22.6.1.E
identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers; and
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6.111.22.6.1.F
identify multiples of a positive integer and common multiples and the least common multiple of a set of positive integers.
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6.111.22.6.2
The student adds, subtracts, multiplies, and divides to solve problems and justify solutions.
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6.111.22.6.2.A
model addition and subtraction situations involving fractions with objects, pictures, words, and numbers;
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6.111.22.6.2.B
use addition and subtraction to solve problems involving fractions and decimals;
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6.111.22.6.2.C
use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates;
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6.111.22.6.2.D
estimate and round to approximate reasonable results and to solve problems where exact answers are not required; and
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6.111.22.6.2.E
use order of operations to simplify whole number expressions (without exponents) in problem solving situations.
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6.PAT
Patterns, relationships, and algebraic thinking.
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6.111.22.6.3
The student solves problems involving direct proportional relationships.
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6.111.22.6.3.A
use ratios to describe proportional situations;
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6.111.22.6.3.B
represent ratios and percents with concrete models, fractions, and decimals; and
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6.111.22.6.3.C
use ratios to make predictions in proportional situations.
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6.111.22.6.4
The student uses letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes.
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6.111.22.6.4.A
use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area; and
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6.111.22.6.4.B
use tables of data to generate formulas representing relationships involving perimeter, area, volume of a rectangular prism, etc.
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6.111.22.6.5
The student uses letters to represent an unknown in an equation.
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6.111.22.6.5.A
The student is expected to formulate equations from problem situations described by linear relationships.
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6.GEO
Geometry and spatial reasoning.
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6.111.22.6.6
The student uses geometric vocabulary to describe angles, polygons, and circles.
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6.111.22.6.6.A
use angle measurements to classify angles as acute, obtuse, or right;
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6.111.22.6.6.B
identify relationships involving angles in triangles and quadrilaterals; and
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6.111.22.6.6.C
describe the relationship between radius, diameter, and circumference of a circle.
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6.111.22.6.7
The student uses coordinate geometry to identify location in two dimensions.
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6.111.22.6.7.A
The student is expected to locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers.
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6.MEA
Measurement.
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6.111.22.6.8
The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and angles.
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6.111.22.6.8.A
estimate measurements (including circumference) and evaluate reasonableness of results;
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6.111.22.6.8.B
select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight;
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6.111.22.6.8.C
measure angles; and
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6.111.22.6.8.D
convert measures within the same measurement system (customary and metric) based on relationships between units.
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6.PROB
Probability and statistics.
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6.111.22.6.9
The student uses experimental and theoretical probability to make predictions.
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6.111.22.6.9.A
construct sample spaces using lists and tree diagrams; and
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6.111.22.6.9.B
find the probabilities of a simple event and its complement and describe the relationship between the two.
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6.111.22.6.10
The student uses statistical representations to analyze data.
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6.111.22.6.10.A
select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot;
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6.111.22.6.10.B
identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data;
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6.111.22.6.10.C
sketch circle graphs to display data; and
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6.111.22.6.10.D
solve problems by collecting, organizing, displaying, and interpreting data.
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6.PROC
Underlying processes and mathematical tools.
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6.111.22.6.11
The student applies Grade 6 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school.
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6.111.22.6.11.A
identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics;
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6.111.22.6.11.B
use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness;
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6.111.22.6.11.C
select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem; and
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6.111.22.6.11.D
select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems.
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6.111.22.6.12
The student communicates about Grade 6 mathematics through informal and mathematical language, representations, and models.
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6.111.22.6.12.A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models; and
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6.111.22.6.12.B
evaluate the effectiveness of different representations to communicate ideas.
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6.111.22.6.13
The student uses logical reasoning to make conjectures and verify conclusions.
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6.111.22.6.13.A
make conjectures from patterns or sets of examples and nonexamples; and
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6.111.22.6.13.B
validate his/her conclusions using mathematical properties and relationships.
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