## 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.