CONTENT STRANDS |
Number Sense and Operations Strand |
| Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number
systems. |
| Number Systems |
| 5.M.1 - Use a ruler to measure to the nearest inch, 1/2, 1/4, and 1/8 inch |
| 5.M.2 - Identify customary equivalent units of length |
| 5.M.3 - Measure to the nearest centimeter |
| 5.M.4 - Identify equivalent metric units of length |
| 5.M.5 - Convert measurement within a given system |
| 5.M.6 - Determine the tool and technique to measure with an appropriate level of precision: lengths and angles
|
| 5.M.7 - Calculate elapsed time in hours and minutes |
| 5.M.8 - Measure and draw angles using a protractor |
| 5.M.9 - Determine personal references for customary units of length (e.g., your pace is approximately 3 feet, your
height is approximately 5 feet, etc.) |
| 5.M.10 - Determine personal references for metric units of length |
| 5.M.11 - Justify the reasonableness of estimates |
| |
| Number Theory |
| 5.N.12 - Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple
divisors (composite) |
| 5.N.13 - Calculate multiples of a whole number and the least common multiple of two numbers |
| 5.N.14 - Identify the factors of a given number |
| 5.N.15 - Find the common factors and the greatest common factor of two numbers |
| |
| Students will understand meanings of operations and procedures, and how they relate to one another. |
| Operations |
| 5.N.16 - Use a variety of strategies to multiply three-digit by three-digit numbers |
| 5.N.17 - Use a variety of strategies to divide three-digit numbers by one- and two-digit numbers |
| 5.N.18 - Evaluate an arithmetic expression using order of operations including multiplication, division, addition,
subtraction and parentheses |
| 5.N.19 - Simplify fractions to lowest terms |
| 5.N.20 - Convert improper fractions to mixed numbers, and mixed numbers to improper fractions |
| 5.N.21 - Use a variety of strategies to add and subtract fractions with like denominators |
| 5.N.22 - Add and subtract mixed numbers with like denominators |
| 5.N.23 - Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths |
| |
| Students will compute accurately and make reasonable estimates. |
| Estimation |
| 5.N.24 - Round numbers to the nearest hundredth and up to 10,000 |
| 5.N.25 - Estimate sums and differences of fractions with like denominators |
| 5.N.26 - Estimate sums, differences, products, and quotients of decimals |
| 5.N.27 - Justify the reasonableness of answers using estimation |
|
|
Algebra Strand |
| Students will represent and analyze algebraically a wide variety of problem solving situations. |
| Variables and Expressions |
| 5.A.1 - Define and use appropriate terminology when referring to constants, variables, and algebraic expressions
|
| 5.A.2 - Translate simple verbal expressions into algebraic expressions |
|
| Students will perform algebraic procedures accurately. |
| Variables and Expressions |
| 5.A.3 - Substitute assigned values into variable expressions and evaluate using order of operations |
|
| Equations and Inequalities |
| 5.A.4 - Solve simple one-step equations using basic whole-number facts |
| 5.A.5 - Solve and explain simple one-step equations using inverse operations involving whole numbers |
| 5.A.6 - Evaluate the perimeter formula for given input values |
|
| Students will recognize, use, and represent algebraically patterns, relations, and functions. |
| Patterns, Functions, and Relations |
| 5.A.7 - Create and explain patterns and algebraic relationships (e,g.,2,4,6,8...) algebraically: 2n
(doubling) |
| 5.A.8 - Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade
geometric shapes) |
|
|
Geometry Strand |
| Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric
shapes. |
| Shapes |
| 5.G.1 - Calculate the perimeter of regular and irregular polygons |
| |
| Students will identify and justify geometric relationships, formally and informally. |
| Geometric Relationships |
| 5.G.2 - Identify pairs of similar triangles |
| 5.G.3 - Identify the ratio of corresponding sides of similar triangles |
| 5.G.4 - Classify quadrilaterals by properties of their angles and sides |
| 5.G.5 - Know that the sum of the interior angles of a quadrilateral is 360 degrees |
| 5.G.6 - Classify triangles by properties of their angles and sides |
| 5.G.7 - Know that the sum of the interior angles of a triangle is 180 degrees |
| 5.G.8 - Find a missing angle when given two angles of a triangle |
| 5.G.9 - Identify pairs of congruent triangles |
| 5.G.10 - Identify corresponding parts of congruent triangles |
|
| Students will apply transformations and symmetry to analyze problem solving situations. |
| Transformational Geometry |
| 5.G.11 - Identify and draw lines of symmetry of basic geometric shapes |
| |
| Students will apply coordinate geometry to analyze problem solving situations. |
| Coordinate Geometry |
| 5.G.12 - Identify and plot points in the first quadrant |
| 5.G.13 - Plot points to form basic geometric shapes (identify and classify) |
| 5.G.14 - Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of
rectangles having sides with integer lengths and parallel to the axes) |
|
|
Measurement Strand |
| Students will determine what can be measured and how, using appropriate methods and formulas. |
| Units of Measurement |
| 5.M.1 - Use a ruler to measure to the nearest inch, 1/2, 1/4, and 1/8 inch |
| 5.M.2 - Identify customary equivalent units of length |
| 5.M.3 - Measure to the nearest centimeter |
| 5.M.4 - Identify equivalent metric units of length |
| 5.M.5 - Convert measurement within a given system |
| 5.M.6 - Determine the tool and technique to measure with an appropriate level of precision: lengths and angles
|
|
| Students will use units to give meaning to measurements. |
| Units |
| 5.M.7 - Calculate elapsed time in hours and minutes |
| 5.M.8 - Measure and draw angles using a protractor |
| |
| Students will develop strategies for estimating measurements. |
| Estimation |
| 5.M.9 - Determine personal references for customary units of length (e.g., your pace is approximately 3 feet, your
height is approximately 5 feet, etc.) |
| 5.M.10 - Determine personal references for metric units of length |
| 5.M.11 - Justify the reasonableness of estimates |
|
|
Statistics and Probability Strand |
| Students will collect, organize, display, and analyze data. |
| Collection of Data |
| 5.S.1 - Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)
|
|
| Organization and Display of Data |
| 5.S.2 - Display data in a line graph to show an increase or decrease over time |
|
| Analysis of Data |
| 5.S.3 - Calculate the mean for a given set of data and use to describe a set of data |
| |
| Students will make predictions that are based upon data analysis. |
| Predictions from Data |
| 5.S.4 - Formulate conclusions and make predictions from graphs |
|
| Students will understand and apply concepts of probability. |
| Probability |
| 5.S.5 - List the possible outcomes for a single-event experiment |
| 5.S.6 - Record experiment results using fractions/ratios |
| 5.S.7 - Create a sample space and determine the probability of a single event, given a simple experiment (e.g.,
rolling a number cube) |
