| Sixth Grade Math | ||||
| Objective | Student & Parent | ILS Benchmark | Teacher Clarifications | Cycle |
| 601 | Use numerals up to 10 digits & 4 decimal places and write place values as powers of 10. | 06.A.3a Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms. | Read and write up to 10-digit numerals. Read and write decimals to 10,000ths. Write place values as powers of 10 (example: 100 = 102) | F |
| 602 | Compare and convert common fractions, decimals and percents with a calculator. | 06.A.3a Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms. | Show relationship of fractions, decimals and percents. Change fractions to decimals and decimals to fractions using a calculator. Convert common fractions, decimals and percents. | W |
| 603 | Solve multi-step story problems with decimals and common fractions. | 06.B.3a Solve practical computation problems involving whole numbers, integers and rational numbers. | Solve real-life multiple step problems using whole numbers, decimals and fractions. | W |
| 604 | Identify prime and composite numbers. | 06.B.3b Apply primes, factors, divisors, multiples, common factors and common multiples in solving problems. | Identify prime and composite numbers. | W |
| 605 | Use square roots to find side length. | 06.B.3c Identify and apply properties of real numbers including pi, squares, and square roots. 09.C.3b Develop and solve problems using geometric relationships and models, with and without the use of technology. | Use squares and square roots to find side lengths and areas of geometric shapes | S |
| 606 | Compute quickly addition, subtraction, multiplication and division facts. | 06.C.3a Select computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions. | Compute addition, subtraction, multiplication, and division math facts in five minutes. | F |
| 607 | Estimate sum, difference, product and quotient by using appropriate techniques. | 06.C.3b Show evidence that computational results using whole numbers, fractions, decimals, percents and proportions are correct and/or that estimates are reasonable. | Estimate sum, difference, product and quotient by using appropriate techniques. | F |
| 608 | Add, subtract, multiply, and divide fractions and mixed numbers. Multiply and divide decimals. | 06.C.3a Select computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions. | Add, subtract, multiply, and divide fractions and mixed numbers with unlike denominators. Multiply and divide decimals. | W |
| 609 | Use ratios and proportions to solve problems. | 06.D.3a Apply ratios and proportions to solve practical problems. | Write equal ratios to form proportions. Solve for missing number in a proportion. Write and solve proportions to solve real life problems. | S |
| 610 | Measure lengths to the nearest 1/8th inch. | 07.A.3a Measure length, capacity, weight/mass and angles using sophisticated instruments (e.g., compass, protractor, trundle wheel). | Measure lengths to the nearest 1/8 inch. | S |
| 611 | Use metric prefixes to convert within the metric system. | 07.B.3a Select and apply instruments including rulers and protractors and units of measure to the degree of accuracy required. | Use metric prefixes to convert within the metric system. | S |
| 612 | Calculate polygon perimeter and circle circumference. C= d x pi. | 07.C.3b Use concrete and graphic models and appropriate formulas to find perimeters, areas, surface areas and volumes of two- and three-dimensional regions. | Find perimeter of a polygon given a pictorial or practical situation. Find circumference of a circle. | S |
| 613 | Convert between feet, yards & miles; between milligrams, grams & kilograms; and choose appropriate unit for a given measurement. | 07.B.3a Select and apply instruments including rulers and protractors and units of measure to the degree of accuracy required. | Convert feet to miles, yards to miles, milliliters to liters, milligram to grams to kilograms and vice versa. Decide on an appropriate unit for measuring common lengths, weights and capacity. | S |
| 614 | Measure angles to the nearest degree with a protractor. | 07.B.3a Select and apply instruments including rulers and protractors and units of measure to the degree of accuracy required. | Measure angles to the nearest degree using a protractor. | S |
| 615 | Draw, recognize and identify similar and congruent figures. | 09.A.3a Draw or construct two- and three- dimensional geometric figures including prisms, pyramids, cylinders and cones. | Draw similar polygons. Draw congruent shapes using corresponding parts. Draw similar figures. Construct two-dimensional figures. | S |
| 616 | Compute the area of a parallelogram, triangle and circle and volume of a rectangular prism. | 07.C.3b Use concrete and graphic models and appropriate formulas to find perimeters, areas, surface areas and volumes of two- and three-dimensional regions. | Compute the area of a parallelogram (A=bh), triangle(A= ½ bh) and circle. A = pi r2. Compute volume of a rectangular prism . | S |
| 617 | Use all four operations to explain and extend number patterns. | 08.A.3a Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality and order of operations to solve problems. | Use all four operations to explain and extend number patterns or sequences. Use order of operations to solve problems. Solve one step equations using inverse operations. | F |
| 618 | Use order of operations to solve problems. | 08.A.3a Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality and order of operations to solve problems. | Use order of operations to solve problems. | F |
| 619 | Solve two step equations using inverse operations. | 08.A.3a Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality and order of operations to solve problems. | Solve multi step equations using inverse operations. | W |
| 620 | Graph ordered pairs on coordinate grid using function charts to determine ordered pairs. | 08.B.3a Use graphing technology and algebraic methods to analyze and predict linear relationships and make generalizations from linear patterns. | Graph ordered pairs on coordinate plane using function charts to determine ordered pairs. | F |
| 621 | Solve word problems by writing equations using number properties and operations. | 08.C.3a Apply the properties of numbers and operations including inverses in algebraic settings derived from economics, business and the sciences. | Explain properties of equality and transitive properties. Create examples of using equality and transitive properties. Solve word problems using properties. Write an equation that will solve a word problem. | W |
| 622 | Create and use models to solve multi-step equations. | 08.D.3a Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities. | Model and solve multi-step equations. | W |
| 623 | Identify lines of symmetry. | 09.B.3a Identify, describe, classify and compare two- and three- dimensional geometric figures and models according to their properties. | Determine lines of symmetry of various triangles and quadrilaterals. | S |
| 624 | Identify an angle's vertex & sides, and classify angles as right, obtuse, and acute. Classify triangles by sides and angles. | 09.B.3a Identify, describe, classify and compare two- and three- dimensional geometric figures and models according to their properties. | Identify the angle, it vertex and sides of an angle. Classify angles right, obtuse and acute. Classify triangles by sides and angles (right, obtuse, acute, equilateral, isosceles, scalene). | S |
| 625 | Prove congruent triangles using SSS, SAS, and ASA. | 09.C.3a Construct, develop and communicate logical arguments (informal proofs) about geometric figures and patterns. | Prove congruent triangles using SSS, SAS, and ASA. | S |
| 626 | Compute real distances using the scale on map. | 09.D.3a Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse. | Compute real distances from scale on map. | W |
| 627 | Construct, read, and interpret tables, charts, and bar graphs to organize and represent data. | 10.A.3a Construct, read and interpret tables, graphs (including circle graphs) and charts to organize and represent data. | Construct, read and interpret tables, charts, bar graphs to organize and represent data. | F |
| 628 | Compare mean, median, mode, and range. | 10.A.3b Compare the mean, median, mode and range, with and without the use of technology. | Compare mean, median, mode and range. | F |
| 629 | Make reasonable assumptions based on data from graphs, charts, tables, etc. | 10.A.3c Test the reasonableness of an argument based on data and communicate their findings. | Test the reasonableness of an argument based on data. | F |
| 630 | Conduct probability experiments. | 10.B.3a Formulate questions (e.g., relation-ships between car age and mileage, average incomes and years of schooling), devise and conduct experiments or simulations, gather data, draw conclusions and communicate results to an audience using traditional methods and contemporary technologies. | Conduct probability experiments or simulations using traditional methods and technology. | W |
| 631 | Determine possible outcomes of multiple events. | 10.C.3a Determine the probability and odds of events using fundamental counting principles. | Determine possible outcomes of multiple events using fundamental counting principles. | W |
| 632 | Determine probability of multiple events. | 10.C.3b Analyze problem situations (e.g., board games, grading scales) and make predictions about results. | Determine probability of multiple events. | W |