PLACE VALUE, ADDITION AND SUBTRACTION OF WHOLES …
MATHEMATICS
CORE BODY OF KNOWLEDGE – 5TH GRADE
(Updated June, 2006)
PLACE VALUE, ADDITION AND SUBTRACTION OF WHOLES AND DECIMALS
• Identify the place value of a digit
• Add and subtract whole numbers and decimals
• Read, write, compare and order whole numbers and decimals
• Round whole numbers and decimals
• Estimate sums and differences for whole numbers and decimals
• Write numbers including decimals in expanded notation
• Use models to represent decimals
MULTIPLICATION OF WHOLES AND DECIMALS
• Multiply up to two 3-digit whole numbers
• Multiply decimals by whole numbers and decimals
• Estimate products
• Solve word problems involving multiplication of wholes and decimals
DIVISION OF WHOLES AND DECIMALS
• Estimate quotients
• Divide up to 4-digit whole numbers (dividends) by a 2-digit number (divisor)
• Divide decimals by a whole number
• Solve word problems involving division of wholes and decimals
INTRODUCTION TO ALGEBRA
• Describe and extend a pattern
• Create expressions to model mathematical situations
• Generate functions from tables
• Use properties of addition and multiplication
• State and put into practice order of operations
• Use number line to compare, order, add and subtract integers
INTRODUCTION TO FRACTIONS
• Use rules of divisibility
• Identify factors and multiples of given whole numbers
• Identify prime and composite numbers
• Use models to represent fractions
• Express fractions in simplest form
• Rename mixed numbers and improper fractions as mixed or whole numbers for any given fractions
OPERATIONS WITH FRACTIONS
• Estimate fraction sums, differences and products.
• Add, subtract, and multiply fractions and mixed numbers with like/unlike denominators
GEOMETRY
• Define line concepts
• Measure, draw and classify angles
• Identify congruent, similar figures, and symmetry in given 2-D figures
• Label parts of a circle
• Identify a model and diagram of a solid figure
• Create a tessellation
• Explain and extend a geometric pattern
• Find locations on a coordinate grid
• Perform simple transformations
MEASUREMENT
• Convert linear measurements within the same system
• Compute the area of rectangles, squares and triangles
• Use simple concepts of negative integers (thermometer, etc.)
• Choose appropriate tool for measurement
• Add and subtract measurements
• Find perimeter of polygons
• Calculate volumes of cube containers
• Find circumference of circle
• Estimate measurement
PROBABILITY
• Perform simulations to predict the likelihood of an event
• Express probabilities as a fraction and a decimal
• Calculate the probability of a simple event
• Find all possible combinations for a number of variables
• Develop a tree diagram and list the elements
GRAPHING AND DATA ANALYSIS
• Read and interpret graphs (pictograph, line plot, table, chart, bar graph, line graph, circle graph, etc.)
• Organize and display data on a graph
• Find mean, median, mode and range for a set of data
• Sort data in a Venn diagram
• Generate function tables
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