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Core Content and Skills
Math Grade 5
2007-2008
BOE Approved

Number Sense and Number Theory (Concepts)  Content   Skills  Whole Number Concepts   Understand the place value structure of the base ten number system: 10 ones= 1 ten 10 tens = 1 hundred 10 hundreds = 1 thousand 10 thousands = 1 ten thousand 10 ten thousands = 1 hundred thousand 10 hundred thousands = 1 million Read and Write Whole Numbers to Millions Justify the reasonableness of answers using estimation Compare and Order Numbers to Millions   Decimal Concepts   Read, Write and order decimals to thousandths Compare decimals using <, >, = Justify the reasonableness of answers using estimation Round numbers to the nearest thundredths and up to ten thousand     Number Sense and Number Theory (Operations)  Content   Skills  Whole Number and Decimal Operations (Adding and Subtraction)   Estimate sums, differences, products, and quotients of decimals Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths. Use a variety of strategies to multiply three digit by three digit numbers. Use a variety of strategies to divide three digit numbers by one and two digit numbers.

Number Sense and Number Theory (Operations cont'd)  Content   Skills  Whole Number and Decimal Operations (Multiplication and Division)   Estimate sums, differences, products, and quotients of decimals Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths. Use a variety of strategies to divide three digit numbers by one and two digit numbers. Use a variety of strategies to multiply three digit by three digit numbers.   Order of Operation   P, E, M/D, A/S

Fractions (Concepts)  Content   Skills  Fraction concepts and Theory   Recognize that some numbers are either Prime or Composite. Calculate the multiples of a whole number and the least common multiple of two numbers. Identify the factors of a given number. Find the common factors and the greatest common factor of two numbers. Create equivalent fractions given a fraction. Compare and order fractions including unlike denominators (with or without the use of a number line). Compare fractions using >, <, or =. Simplify fractions to lowest terms. Convert improper fractions to mixed numbers, and mixed numbers to improper fractions.

Fraction (Operations)  Content   Skills  Fraction Operations (Addition and Subtraction)   Use a variety of strategies to add and subtract fractions with like denominators. Add and subtract mixed numbers with like denominators. Estimate sums and differences of fractions with like denominators.

Probability and Statistics  Content   Skills  Staticis (Graphing) Concepts and Applications   Collect and record data from a variety of sources. Calculate the mean for a given set of data and use to describe a set of data. Display data in a line graph to show an increase or decrease over time. Formulate conclusions and make predictions from graphs.   Probability Concepts and Applications   List the possible outcomes for a single event experiment. Create a sample space and determine the probabilty of a single event, given a sample experiment. Record experiments using fractions and ratios.

Geometry  Content   Skills  Polygons (Quadrilaterals and Traingles and Geometric Shapes   Calculate the perimeter of a regular and irregular polygon. Identify pairs of similiar triangles. Identify the ratio of corresponding sides of similiar triangles. Classify quadrilaterals by properties of their angles and sides. Know that the sum of the interior anghles of a quadrilateral is 360'. Classify traingles by properties of their angles and sides. Know that the sum of the interior angles of a triangle is 180'. Find a missing angle when given two angles of a triangle. Identify pairs of congruent triangles. Identify corresponding parts of congruent triangles. Identify and draw lines of symmetry of basic geometric shapes. Use of protractor in measuring angles Geometry vocabulary

The Metric System  Content   Skills  Linear Measurement (metric and standard): (standard) inches, feet, yards, miles Linear Measurement (metric and standard): (metric) millimeters, centimeters, meters, kilometer Units of Capacity: (standard) ounces, cups, pints, quarts, gallons Units of Capacity: (metric) millimeters, liters Unit of Weight/Mass: (standard) ounces, pounds Unit of Weight/Mass: (metric) milligrams, grams, kilograms Geometric Measurement: Perimeter of polygons Geometric Measurement: Area of rectangles Geometric Measurement: Exploring volume   Use ruler, metric stick, tape measure, yard stick to measure distance/length (both standard and metric) Convert inches to feet, feet to yards, millimeters to meters, meters to kilometers, ounces to pounds, grams to kilograms, cups to gallons, etc. Use containers to measure metric and standard capacities Use a balance to measure metric mass Find perimeter of polygons Find area of rectangle

Cont. Geometry  Content   Skills  Identify coordinate points Identify first quadrant Form basic geometric shapes by ploting points Finding the perimeter of basic shapes drawn on a coordinate plane   Plot points in the first quadrant

Algebra Variables and Expression  Content   Skills  One step equations   Translate simple verbal expressions using algebra Substitute assigned values for variables     Statistics and Probability Cont.  Content   Skills  Performing single-event experiment Recording outcomes in different ways   Listing possible outcomes of an experiment Record experiment outcomes using ratios and fractions

Algebra Equations and Inequalities Cont.  Content   Skills  Whole numbers and Variables Inverse operations   Solving simple one step equations using whole number facts Inverse operation involving whole numbers