6th Grade Math Benchmarks

First Quarter

1.6.1 Read, write, add, subtract, multiply and divide using decimals, fractions, and percents.

1.6.2 Apply decimals, fractions, and percents to solve mathematical and practical problems.

1.6.3 Use the concepts of number theory, including prime and composite numbers, factors, multiples, and the rules of divisibility.

1.6.6 Compare and order groups of fractions and groups of decimals (e.g., on a number line).

1.6.9 Use models and drawings to identify, compare, add, and subtract fractions with unlike denominators; use models to translate among fractions, decimals, and percents.

1.7.2 Apply positive and negative numbers, ratios, and proportions to solve mathematical and practical problems.

2.3.4 Use and interpret operational and relational symbols.

2.6.1 Use and create tables and charts to extend a pattern in order to describe a rule.

3.6.2 Explain how the size of The unit used affects the precision; given two measurements of the same object, select the one that is more precise.

3.6.3 Estimate, measure to the required degree of accuracy, derive, and apply formulas to find the perimeter, circumference, and area of plane figures.

3.6.4 Use ratios to describe and compare relationships between various objects.

4.6.1 Measure angles; identify, describe by properties, classify, compare, and draw regular and irregular quadrilaterals; find the sum of the interior angles of triangles and quadrilaterals.

4.6.8 Construct circles, angles, and triangles based on given measurements using a variety of methods (e.g., protractor, paper folding).

5.6.1 Interpret data using various formats including circle graphs.

6.6.1 Select, modify, and apply strategies to solve a variety of mathematical and practical problems.

6.6.2 apply previous experience and knowledge to new problem-solving situations.

6.6.7 Apply multi-step, integrated, mathematical problem solving strategies.

7.6.6 Interpret and solve word problems without the necessity of key words of phrases.

Second Quarter

1.6.1 Read, write, add, subtract, multiply and divide using decimals, fractions, and percents.

1.6.2 Apply decimals, fractions, and percents to solve mathematical and practical problems.

1.6.3 Use the concepts of number theory, including prime and composite numbers, factors, multiples, and the rules of divisibility.

1.6.6 Compare and order groups of fractions and groups of decimals (e.g., on a number line).

1.6.7 Round to a given decimal place value; estimate using decimals, fractions, and percents.

1.6.9 Use models and drawings to identify, compare, add, and subtract fractions with unlike denominators; use models to translate among fractions, decimals, and percents. 2.6.2 Identify, model, describe, and evaluate relationships, using charts and tables, with

2.5.4 Use variables in open sentences and to describe simple functions and relationships.

2.6.2 Identify, model, describe, and evaluate relationships, using charts and tables, with and without technology.

3.6.3 Estimate, measure to the required degree of accuracy, derive, and apply formulas to find the perimeter, circumference, and area of plane figures.

4.6.1 Measure angles; identify, describe by properties, classify, compare, and draw regular and irregular quadrilaterals; find the sum of the interior angles of triangles and quadrilaterals.

4.6.2 Determine actual measurements represented on scale drawings (e.g., maps, blueprints, house plans).

5.6.3 Solve probability problems using methods including constructing sample spaces and tree diagrams.

6.6.1 Select, modify, and apply strategies to solve a variety of mathematical and practical problems.

6.6.2 apply previous experience and knowledge to new problem-solving situations.

6.6.7 Apply multi-step, integrated, mathematical problem solving strategies.

9.6.3 Use models to explain concept to procedures; read and interpret charts and graphs to solve problems.

Third Quarter

1.6.1 Read, write, add, subtract, multiply and divide using decimals, fractions, and percents.

1.6.3 Use the concepts of number theory, including prime and composite numbers, factors, multiples, and the rules of divisibility.

1.6.6 Compare and order groups of fractions and groups of decimals (e.g., on a number line). 2.3.4 Use and interpret operational and

2.3.4 Use and interpret operational and relational symbols.

2.5.4 Use variables in open sentences and to describe simple functions and relationships.

2.6.2 Identify, model, describe, and evaluate relationships, using charts and tables, with and without technology.

2.6.7 Use a ruler to create a table and represent the ordered pairs on a coordinate grid.

3.6.1 Estimate and convert, units of measure for length, weight, and capacity, within the same measurement system (customary or metric).

3.6.3 Estimate, measure to the required degree of accuracy, derive, and apply formulas to find the perimeter, circumference, and area of plane figures.

3.6.5 Use ratios to describe and compare relationships between various objects.

4.6.1 Measure angles; identify, describe by properties, classify, compare, and draw regular and irregular quadrilaterals; find the sum of the interior angles of triangles and quadrilaterals.

4.6.2 Determine actual measurements represented on scale drawings (e.g., maps, blueprints, house plans).

4.6.3 Using a coordinate grid, identify coordinates for a given point and locate points of given coordinates; plot geometric shapes in all four quadrants.

4.6.6 Draw complimentary and supplementary angles; identify and find measures of complementary and supplementary angles using arithmetic and geometric methods.

5.6.2 Conduct simple probability experiments using concrete materials and represent the results using decimals, percents, and ratios.

5.6.5 Analyze the effect a change of format will have on interpretation of statistical charts and graphs.

6.6.1 Select, modify, and apply strategies to solve a variety of mathematical and practical problems.

6.6.7 Apply multi-step, integrated, mathematical problem solving strategies.

9.6.8 Identify, explain and use mathematics in everyday life.

Fourth Quarter

1.6.1 Read, write, add, subtract, multiply and divide using decimals, fractions, and percents

1.6.2 Apply decimals, fractions, and percents to solve mathematical and practical problems.

2.3.4 Use and interpret operational and relational symbols.

2.5.4 Use variables in open sentences and to describe simple functions and relationships.

2.6.1 Use and create tables and charts to extend a pattern in order to describe a rule.

3.6.1 Estimate and convert, units of measure for length, weight, and capacity, within the same measurement system (customary or metric).

3.6.3 Estimate, measure to the required degree of accuracy, derive, and apply formulas to find the perimeter, circumference, and area of plane figures.

3.6.4 Use ratios to describe and compare relationships between various objects.

3.6.5 Use ratios to describe and compare relationships between various objects.

4.6.1 Measure angles; identify, describe by properties, classify, compare, and draw regular and irregular quadrilaterals; find the sum of the interior angles of triangles and quadrilaterals.

4.6.7 Determine the measures of missing angles of triangles based on the Triangle Sum Theorem (the sum of the interior angles of a triangle equals 180 degrees).

5.6.6 Analyze data in a variety of formats to draw conclusions and make predictions.

6.6.1 Select, modify, and apply strategies to solve a variety of mathematical and practical problems.

6.6.2 apply previous experience and knowledge to new problem-solving situations.

6.6.5 Verify, interpret, and evaluate results, determining an efficient strategy for the given situation

6.6.7 Apply multi-step, integrated, mathematical problem solving strategies.

6.6.10 Interpret and solve problems by paraphrasing, identifying necessary and extraneous information, selecting and justifying efficient methods and or strategies, and ensuring the answer is reasonable.

7.6.6 Interpret and solve word problems without the necessity of key words of phrases.

7.6.8 Use physical material, diagrams, and tables, to represent and communicate mathematical ideas.

7.6.16 Express mathematical ideas and use them to define, compare and solve problems orally and in writing.

9.6.8 Identify, explain and use mathematics in everyday life.