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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