| Eighth Grade Math | ||||
| Objective | Student & Parent | ILS Benchmark | Teacher Clarifications | Cycle |
| 801 | Convert among fractions, percents and decimals. | 06.A.3a Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms. | Convert fractions, decimals and percents. | W |
| 802 | Compute powers of whole or decimal numbers and write numbers in scientific notation. | 06.A.3a Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms. | Change powers of numbers to whole numbers and decimals, (example: 32=9). Write numbers in scientific notation. | W |
| 803 | Solve multi-step story problems with integers and decimals in fall, and with common fractions in winter | 06.B.3a Solve practical computation problems involving whole numbers, integers and rational numbers. | Solve real-life multiple step problems using whole numbers, decimals, fractions and integers. Write and solve equations for multi-step word problems. | F |
| 804 | Apply primes, composites, factors, common factors, multiples and common multiples in solving problems. | 06.B.3b Apply primes, factors, divisors, multiples, common factors and common multiples in solving problems. | Apply primes, composites, factors, common factors, multiples and common multiples in solving problems. | W |
| 805 | Use pi, squares and square roots to solve geometry problems. | 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 pi, squares and square roots to solve geometry problems | S |
| 806 | Estimate sum, difference, product and quotient by using appropriate techniques. | 06.C.3a Select computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions. | Estimate sum, difference, product and quotient by using appropriate techniques. | F |
| 807 | Use ratios and percents to solve practical problems. | 06.D.3a Apply ratios and proportions to solve practical problems. | Apply ratios and proportions to solve practical problems. 2) Use percents to solve practical problems. | W |
| 808 | Find area of irregular and composite figures. | 07.A.3b Apply the concepts and attributes of length, capacity, weight/mass, perimeter, area, volume, time, temperature and angle measures in practical situations. | Find the area of irregular and composite figures. | S |
| 809 | Find volume and surface area of solid objects. | 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 volume. Find surface area. | S |
| 810 | Solve one-step equations using inverse operations in fall and multi-step equations using inverse operations in winter | 08.A.3a Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality and order of operations to solve problems. | Solve multiple step equations using inverse operations. | F |
| 811 | Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero and equality 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. | Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero and equality to solve problems. | F |
| 812 | Use order of operations to solve problems and evaluate expressions, | 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 and evaluate expression. | F |
| 813 | Solve inequalities and represent their solutions on a number line. | 08.B.3a Use graphing technology and algebraic methods to analyze and predict linear relationships and make generalizations from linear patterns. 08.D.3a Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities. | Solve inequalities and represent their solutions on a number line. | F |
| 814 | Graph, analyze and predict linear relationships and make generalizations from linear patterns. | 08.B.3a Use graphing technology and algebraic methods to analyze and predict linear relationships and make generalizations from linear patterns. | Graph linear equations. Analyze and predict linear relationships and make generalizations from linear patterns. | W |
| 815 | Solve problems from economics, business and science using proportions, formulas, linear functions and number properties. | 08.C.3a Apply the properties of numbers and operations including inverses in algebraic settings derived from economics, business and the sciences. 08.D.3b Propose and solve problems using proportions, formulas and linear functions. | Apply the properties of numbers and operations to solve algebra equations and formulas including Pythagorean formula. | S |
| 816 | Graph a system of equations and determine or predict the correct solution. | 08.D.3a Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities. | Graph a system of equations and determine or predict the correct solution. | W |
| 817 | Draw and construct three-dimensional figures including prisms, pyramids, cylinders, and cones | 09.A.3a Draw or construct two- and three- dimensional geometric figures including prisms, pyramids, cylinders and cones. | Draw and construct three-dimensional figures including prisms, pyramids, cylinders and cones. | S |
| 818 | Use transformations to determine flips, slides, and reflections. | 09.A.3b Draw transformation images of figures, with and without the use of technology. | Use transformations to determine flips, slides, and reflections. | W |
| 819 | Use concepts of symmetry, congruency, similarity, scale, perspective and angles to identify and compare 2- and 3-dimensional shapes. | 09.A.3c Use concepts of symmetry, congruency, similarity, scale, perspective, and angles to describe and analyze two- and three-dimensional shapes found in practical applications (e.g., geodesic domes, A-frame houses, basketball courts, inclined planes, art forms, blueprints). | Identify, describe, classify and compare 2-dimensional and 3-dimensional figures and model according to their properties. | W |
| 820 | Use geometric relationships to determine missing angles and sides from practical problems | 09.C.3b Develop and solve problems using geometric relationships and models, with and without the use of technology. | Use geometric relationships to determine missing angles and sides from practical problems. Use Pythagorean Theorem to solve practical problems. | S |
| 821 | Compute distances and lengths using the Pythagorean theorem. | 09.D.3a Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse. | Compute distances and lengths using the Pythagorean theorem and its converse. | S |
| 822 | Construct, read, and interpret graphic representations of data using traditional methods and spreadsheet technology. | 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, line graphs and circle graphs to organize and represent data by traditional methods and spreadsheet technology. | F |
| 823 | Compare mean, median, mode, and range with spreadsheet technology. | 10.A.3b Compare the mean, median, mode and range, with and without the use of technology. | Compare mean, median, mode and range with spreadsheet technology. | S |
| 824 | Test and explain the reasonableness of an argument based on data. | 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 and communicate their findings. | S |
| 825 | Create a simple unbiased survey, gather data, draw conclusions, and communicate results with technology. | 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. | Identify bias in a survey. Create a simple unbiased survey, gather data, draw conclusions and communicate results with technology. | S |
| 826 | Determine, analyze and predict probability and odds, of multiple independent and dependent events. | 10.C.3a Determine the probability and odds of events using fundamental counting principles. 10.C.3b Analyze problem situations (e.g., board games, grading scales) and make predictions about results. | Determine the probability and odds of events using fundamental counting principles. Analyze problem situations and make predictions about results. | S |
| 827 | Construct, develop and communicate informal proofs about geometric figures and patterns. | 09.C.3a Construct, develop and communicate logical arguments (informal proofs) about geometric figures and patterns. | Construct, develop and communicate logical arguments (informal proofs) about geometric figures and patterns. | S |