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Standards and Benchmarks Math, Grade 5 Standard 1: Numbers and Operations: NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systems Benchmarks Example Garden Lessons MA.5.1.1 – Represent % and ratio with pictures or objects MA.5.1.2 – Use whole numbers, fractions, rations, decimals, and % to solve problems MA.5.1.3 - Judge the size of fractions and order them using models Standard 2: Numbers and Operations: OPERATION SENSE: Understand the meaning of operations and how they relate to each other MA.5.2.1 – Student can solve problems with inverse relationships between addition and subtraction and multiplication and division MA.5.2.2 – Multiplication and division of fractions and decimals Standard 3: Numbers and Operations: COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation MA.5.3.1 – Multiply decimals up to three places and divide decimals by whole numbers MA.5.3.2 – Use a variety of strategies to multiply and divide Standard 4: Measurement: FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring MA.5.4.1 – Convert simple units within a system of measurement (feet to yards, quarts to gallons, etc.) MA.5.4.2 – Use metric tools to measure angles MA.5.4.3 – Use map scales to measure the distance between locations on a map MA.5.4.4 – Estimate and measure the size of an angle Standards and Benchmarks Math, Grade 5 MA.5.4.5 – Apply a formula to determine the area and perimeter of a triangle, use known measurements to calculate desired measurements of triangles, parallelograms, and trapezoids MA.5.4.6 – Measure rectangular solids Standard 5: Geometry and Spatial Sense: PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties MA.5.5.1 – Student can sort three dimensional figures into groups and describe properties shared MA.5.5.2 – Can find the measure of the unknown angle of a triangle when 2 angels are known MA.5.5.3 – Can classify angles as acute, right, obtuse, or straight Standard 6: Geometry and Spatial Sense: TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations MA.5.6.1 – Student can predict results of combinations of flips, turns, and slides MA.5.6.2 – Identify 3 dimensional objects that have rotational symmetry and locate the axis Standard 7: Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics MA.5.7.1 – Student can use 2 dimensional net of a rectangular solid to determine surface area Standard 8: Geometry and Spatial Sense: REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry MA.5.8.1 – Determine the distance between points along horizontal and vertical lines Standard 9: Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships MA.5.9.1– Can analyze data in a table and make predictions based on the trends revealed Standards and Benchmarks Math, Grade 5 MA.5.9.2 – Student can create a problem that involves one quantity getting larger and the other smaller Standard 10: Standard 10: Patterns, Functions, and Algebra: SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations MA.5.10.1 – Student can use a variety of strategies to solve for an unknown number MA.5.10.2 – Student can make a table or graph to model a problem situation and interprets the trend in data MA.5.10.3 – Student can describe situations with constant or varying rates Standard 11: Data Analysis, Statistics, and Probability: FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questions MA.5.11.1 – Collect and display data in circle graphs MA.5.11.2 – Can recognize the difference in numeric and categorical data and select an appropriate representation to display each type of data Standard 12: Data Analysis, Statistics, and Probability: STATISTICS: Interpret data using methods of exploratory data analysis MA.5.12.1 – Determine the range, median, mode, and mean for a data set MA.5.12.2 – Student can compare 2 different representations to display same data Standard 13: Data Analysis, Statistics, and Probability: DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data MA.5.13.1 – Student can design a new study to test the conclusions he or she has made from the data collected Standard 14: Data Analysis, Statistics, and Probability: PROBABILITY: Understand and apply basic notions of chance and probability MA.5.14.1 – Student can use fractions, decimals, and percent to indicate the probability of events MA.5.14.2 – Student can determine all possible outcomes of a simple compound event (coin toss, spinning top)