**Useful Links
**Math Vocabulary

## Place Value

Students must be able to...

- Use objects and pictorial models to compose and decompose numbers in more than one way
- Compose and decompose numbers up to 100,000 using compatible numbers
- Use expanded form to write numbers up to 100,000
- Describe the relationship between numbers in the number system (ten times the position to the right)
- Place a number on a number line between multiples of 10; 100; 1,000 and 10,000
- Use "closer to," "is about," and "is nearly" to describe the location on a number line and the relative size of a number.
- Round numbers to the nearest 10; 100; 1,000 or 10,000 on and off a number line
- Compare and order numbers up to 100,000

- Use the symbols >, <, or = to show how numbers compare
- Use rounding to estimate sums and differences in word problems
- Use compatible numbers to estimate sums and differences

## Addition and Subtraction with Data Analysis

Students must be able to:

- Make generalizations about frequency tables (tally charts), bar graphs, pictographs and dot plots.
- Determine intervals used in a graph.
- Analyze bar graphs, pictographs and dot plots to tell about and summarize data.
- Use charts and graphs to solve one and two step problems.
- Identify the addition and subtraction relationship using numbers in a table.
- Create a table the represents real-world situations.
- Solve one and two step addition and subtraction problems based on place value, properties of operations and the relationship between addition and subtraction (fact families)
- Use pictures, number lines and equations to represent addition and subtraction problems.
- Count a collection of coins and bills.
- Find the perimeter of a polygon.
- Determine the missing length of a side when given the perimeter or a polygon and the lengths of the other sides.

Multiplication and Division Basics

Students must be able to:

- Represent multiplication and division problems using arrays, strip diagrams, and equations including repeated addition
- Use what they know about multiplication to determine a quotient.
- Use what they know about the relationship between multiplication and division to solve for a missing number.
- Solve one-step multiplication/division problems using a variety of strategies (arrays, area model, number lines, skip counting, etc).
- Separate a number of objects into two equal groups to determine if the number is even or odd.
- Use the divisibility of 2 rule to determine if a number is even or odd.
- Automatically recall multiplication facts
- Use what they know about multiplication to recall division facts.
- Describe multiplication as a comparison (3x9 represents three times as much as nine)
- Use mathematical symbols to represent a multiplication situation
- Divide a set of objects into equal shares to determine the number of groups
- Divide a set of objects into equal groups to determine the number of objects in each group.
- Combine equal groups of objects

## Fractions

Students must be able to:

- separate shapes into equal parts in more than one way and name each part as a fraction.
- represent/show fractions using objects, pictorial models, strip diagrams, and number lines.
- name the fraction for a given point on a number line.
- label a given fraction in the appropriate location on a number line.
- describe a unit fraction based on the denominator.
- explain how the denominator affects the fraction.
- explain why two fractions are not equivalent.
- represent equivalent fractions using objects, pictorial models, and number lines.
- compare two fractions with like numerators
- compare two fractions with like denominators.
- justify why one fraction is greater than/less than another.
- compose/decompose fractions as a sum of unit fractions.
- solve problems by partitioning an object or set of objects equally.
- explain why two fractions are or are not equivalent based on the whole or their positions on a number line.
- represent fractions as distances from zero on a number line.

## Geometry

Students must be able to:

- compare, classify and sort two-dimensional figures based on their attributes.
- compare, classify and sort three-dimensional figures based on their attributes.
- use formal geometric language to describe how figures are sorted.
- compare, classify and sort quadrilaterals into categories.
- draw examples and non-examples of the 5 types of quadrilaterals (rhombus, square, rectangle, parallelogram and trapezoid)
- use the number of rows and number of unit squares in a row to determine the area of a rectangle.
- use repeated addition to determine the area of a rectangle.
- multiply to find the area of a rectangle.
- break a figure into smaller rectangles in order to find the total area.
- find the perimeter or a polygon.
- determine a missing length when given the perimeter of a polygon and lengths of the other sides.