| Area |
Goal |
Standard |
Benchmark |
Benchmark Number |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers. |
Select computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions. |
6.C.3a |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers. |
Show evidence that computational results using whole numbers, fractions, decimals, percents and proportions are correct and/or that estimates are reasonable. |
6.C.3b |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers. |
Determine whether exact values or approximations are appropriate (e.g., bid a job, determine gas mileage for a trip). |
6.C.4 |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers. |
Determine the level of accuracy needed for computations involving measurement and irrational numbers. |
6.C.5 |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Solve problems using comparison of quantities, ratios, proportions and percents. |
Compare the numbers of objects in groups. |
6.D.1 |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Solve problems using comparison of quantities, ratios, proportions and percents. |
Describe the relationship between two sets of data using ratios and appropriate notations (e.g., a/b, a to b, a:b). |
6.D.2 |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Solve problems using comparison of quantities, ratios, proportions and percents. |
Apply ratios and proportions to solve practical problems. |
6.D.3 |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Solve problems using comparison of quantities, ratios, proportions and percents. |
Solve problems involving recipes or mixtures, financial calculations and geometric similarity using ratios, proportions and percents. |
6.D.4 |
| MATHEMATICS |
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. |
Solve problems using comparison of quantities, ratios, proportions and percents. |
Solve problems involving loans, mortgages and other practical applications involving geometric patterns of growth. |
6.D.5 |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Measure length, volume and weight/mass using rulers, scales and other appropriate measuring instruments in the customary and metric systems. |
7.A.1a |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Measure units of time using appropriate instruments (e.g., calendars, clocks, watches—both analog and digital). |
7.A.1b |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Identify and describe the relative values and relationships among coins and solve addition and subtraction problems using currency. |
7.A.1c |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Read temperatures to the nearest degree from Celsius and Fahrenheit thermometers. |
7.A.1d |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems. |
7.A.2a |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Solve addition, subtraction, multiplication and division problems using currency. |
7.A.2b |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Measure length, capacity, weight/mass and angles using sophisticated instruments (e.g., compass, protractor, trundle wheel). |
7.A.3a |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Apply the concepts and attributes of length, capacity, weight/mass, perimeter, area, volume, time, temperature and angle measures in practical situations. |
7.A.3b |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Apply units and scales to describe and compare numerical data and physical objects. |
7.A.4a |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Apply formulas in a wide variety of theoretical and practical real-world measurement applications involving perimeter, area, volume, angle, time, temperature, mass, speed, distance, density and monetary values. |
7.A.4b |
| MATHEMATICS |
Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. |
Measure and compare quantities using appropriate units, instruments and methods. |
Apply nonlinear scales (e.g., Richter, decibel, pH) to solve practical problems. |
7.A.5 |
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