| Fifth Grade Math | ||||
| Objective | Student & Parent | ILS Benchmark | Teacher Clarifications | Cycle |
| 501 | Explain, compare, put in number order, and use the following: 8-digit numerals with 2 decimal places, common fractions with denominators 2-20 & 100 [fall] percents, decimals to fraction form, fractions to decimal form, fractions to percent form [spring]. | 06.A.2a Compare and order whole numbers, fractions and decimals using concrete materials, drawings and mathematical symbols. | Read and write up to 8-digit numerals. Read, write and model decimals to 1/100's. 1/00's in both fraction and decimal form. Read, write and picture fractions with denominators with 2-10 and 100. Compare and order whole numbers, fractions, and decimals to 1/00's. Read, write and model relationship of percent between fractions: 1/100 = 1%, 1/10 = 10%, 100/100 = 100%, ½ = 50%, ¼ = 25%, ¾ = 75% | f |
| 502 | Solve two-step story problems with whole numbers [fall] ,decimals [winter] and common fractions.[ spring] | 06.B.2a Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication and division. | 1) Solve one and two step real life problems using whole numbers, decimals and fractions. | f |
| 503 | Find factors, common factors, common multiples, and square roots. | 06.B.2a Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication and division. | Find factors, common factors, multiples and common multiples. Compute whole number square roots of 1, 4, 9 , 16, 25, 36, 49, 64, and 81 | S |
| 504 | Compute addition, subtraction, multiplication, and division math facts in five minutes. | 06.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals. | Compute addition, subtraction, multiplication, and division math facts in five minutes. | F |
| 505 | Add and subtract decimals to 100's and mixed numbers with like denominators. | 06.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals. | Add and subtract decimals to 100ths. Add and subtract mixed numbers with like denominators. Find the lowest common denominator. Simplify fractions. Compute problems with a calculator. | S |
| 506 | Use 2-digit numbers to multiply or divide 3-digit numbers, expressing remainders as fractions, decimals, and whole numbers. | 06.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals. | Multiply 2 or 3 digit by 2 digit with regrouping. Divide a 2 and 3 digit number by a 2 digit number. Express a remainder as a fraction, decimal, or whole number Compute problems with a calculator | S |
| 507 | Estimate sum, difference, and product by using appropriate techniques. | 06.C.2b Show evidence that computational results using whole numbers, fractions and decimals are correct and/or that estimates are reasonable. | Estimate sum, difference and product by using appropriate technique. . | S |
| 508 | Use equal ratios and proportions to solve problems. | 06.D.2a Describe the relationship between two sets of data using ratios and appropriate notations (e.g., a/b, a to b, a:b). | Write ratios in various notations ( :, to, fraction). Use equal ratios to solve problems. | S |
| 509 | Measure lengths to the nearest ¼ and ½ inch [fall] and calculate perimeter, radius, & diameter [winter]. | 07.A.2a Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems. | Measure lengths to the nearest ¼ and ½ inch. Find perimeters of polygons. Identify diameter and radius. Calculate radius when given diameter and vice versa. Distinguish between perimeter and area when solving practical problems. | f |
| 510 | Convert between millimeters, centimeters, & meters, and between ounces, pounds, & tons. | 07.A.2a Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems. | Convert centimeters to meters, centimeters to millimeters, ounces to pounds to tons and vice versa. | W |
| 511 | Find areas of rectangles (A=bh) and volumes of rectangular prisms (V=lwh or V=Bh). | 07.A.2a Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems. | Find the area of a rectangle use A=bh. Find volume of rectangular prism using V=lwh or V=Bh. | F |
| 512 | Choose appropriate unit for a given measurement of length, mass, or capacity. | 07.B.2a Determine and communicate possible methods for estimating a given measure, selecting proper units in both customary and metric systems. | Determine appropriate unit of measurement of length, mass (weight) and capacity in metric and customary systems. | F |
| 513 | Identify acute, right and obtuse, and straight angles with a protractor. | 07.B.2a Determine and communicate possible methods for estimating a given measure, selecting proper units in both customary and metric systems. | Identify acute, right, obtuse, and straight angles by using protractor. | W |
| 514 | Determine missing side in similar polygons and use graph paper to draw a rectangle of given perimeter or area. | 07.C.2a Describe relationships in a simple scale drawing. 7.C.2b Construct or draw figures with given perimeters and areas. | Determine length of missing side in similar polygons. Draw rectangles of a given perimeter and area of with graph paper. | W |
| 515 | Solve multiplication and division problems using currency. | 06.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals. | Solve multiplication and division problems using currency. | S |
| 516 | Explain and extend number and geometric patterns. | 08.A.2a Identify, describe, extend and create geometric and numeric patterns. | Analyze geometric patterns and explain reasoning. Use addition, subtraction, multiplication to explain and extend a number patterns or sequences. Determine and describe geometric patterns. | W |
| 517 | Construct and solve equations (+, -, x,/) to find unknown values. | 08.A.2b Construct and solve number sentences using a variable to represent an unknown quantity. | Use multiplication and division number families to determine unknown value. | W |
| 518 | Construct and solve an equations using a variable for an unknown quantity. | 08.A.2b Construct and solve number sentences using a variable to represent an unknown quantity. | Construct and solve number sentences using a variable to represent an unknown quantity. | W |
| 519 | Explain and give examples of order of operations and distributive property, and use them to write equations in solving word problems. | 08.C.2a Explain operations and number properties including commutative, associative, distributive, transitive, zero, equality and order of operations. | Explain order of operations and distributive property Create examples using order of operations. and distributive property Solve word problems using order of operations and distributive property. Write an equation that will solve a word problem. | W |
| 520 | Create and use models to solve simple algebraic linear equations. | 08.D.2a Solve linear equations involving whole numbers. | Create models of simple algebraic equations and solve using the model Solve linear equations involving whole numbers operations of addition, subtraction, multiplication and division. | W |
| 521 | Build 3-dimensional figures, find multiple lines of symmetry, draw similar and congruent figures, and tell how geometric figures are used in real life. | 09.A.2a Build physical models of two- and three-dimensional shapes. 09.A.2b Identify and describe how geometric figures are used in practical settings. 09.A.2c Describe and draw representations of geometric relationships, patterns, symmetries, and designs in 2 and 3 dimensions with and without technology. | Determine two or more lines of symmetry visually or by folding. Draw congruent figures. Identify similar figures and corresponding sides. Build figures of three dimensions shapes using straws, tooth- picks, etc. Identify and describe how geometric figures are used in practical settings. | W |
| 522 | Determine number of possible outcomes. | 10.C.2a Calculate the probability of a simple event. | Determine number of possible outcomes. | F |
| 523 | Use correct vocabulary to identify polygons and to compare geometric properties like parallel, perpendicular, similarity, congruency, and line symmetry. | 09.B.2a Compare geometric figures and determine their properties including parallel, perpendicular, similar, congruent and line symmetry. | Use correct vocabulary to identify polygons (pentagons, hexagons, heptagons, octagons, nonagons, decagons). Compare geometric figures and determine their properties including parallel, perpendicular, similarity, congruency and line symmetry. | W |
| 524 | Prove two figures are similar by using equal ratios. | 09.C.2a Formulate logical arguments about geometric figures and patterns and communicate reasoning. | Prove two figures are similar by using a logical argument that shows the sides form equal ratios. | W |
| 525 | Read and interpret data using pictures, tallies, tables, charts, bar graphs, line graphs and stem-and-leaf graphs. | 10.A.2a Organize and display data using pictures, tallies, tables, charts, bar graphs, line graphs, line plots and stem-and-leaf graphs. | Organize and display data using pictures, tallies, table charts, bar graphs and stem-and-leaf graphs | F |
| 526 | Determine mean, median, mode and range of a data set with and without technology. | 10.A.2b Using a data set, determine mean, median, mode and range, with and without the use of technology. | Using data sets determine mean, median, mode and range with and without calculators. | F |
| 527 | Make and explain predictions and decisions based on data. | 10.A.2c Make predictions and decisions based on data and communicate their reasoning. 10.B.2c Analyze the data using mean, median, mode and range, as appropriate, with or without the use of technology 10.B.2d Interpret results or make relevant decisions. | Make predictions and decisions based on data and communicate reasoning. | F |
| 528 | Create questions of interest and select methods to collect data. | 10.B.2a Formulate questions of interest and select methods to systematically collect data. | Create questions of interest and select methods to collect data. | F |
| 529 | Collect, organize, and display data using tables, charts, bar graphs, line graphs, circle graphs, line plots, and stem and leaf graphs. | 10.B.2b Collect, organize and display data using tables, charts, bar graphs, line graphs, circle graphs, line plots and stem-and-leaf graphs. | Collect organize and display data using tables, charts, bar graphs, line graphs, circle graphs line plots and stem and leaf graphs. | F |
| 530 | Analyze the data using mean, mode, median, and range. | 10.B.2c Analyze the data using mean, median, mode and range, as appropriate, with or without the use of technology. | Analyze the data using mean, mode, median, and range as appropriate with or without technology. | F |
| 531 | Calculate the probability of a simple event. | 10.C.2b Compare the likelihood of events in terms of certain, more likely, less likely or impossible. | Calculate the probability of a simple event. | F |
| 532 | Compare the likelihood of separate events happening. | 10.C.2c Determine the probability of an event involving "and", "or" or "not". | Determine the probability of an event involving "and", "or" or "not". | F |
| 533 | Estimate conversions between metric and customary measurements. | 07.B.2b Estimate conversions between measurements within the customary and metric system. | Estimate conversions between measurements within the customary and metric system. | F |