Arithmetic

Unit 1

• Tell and write time to nearest minute
• Solve word problems involving addition and subtraction of time
• Measure and estimate liquid volumes and masses of objects
• Solve word problems involving four operations with masses or volumes
• Generate measurement data, measuring lengths to halves and fourths of an inch
• Understand how concepts of area relate to multiplication and to addition
• Recognize and measure perimeter
• Measure areas by counting unit squares
• Multiply side lengths to find areas of rectangles in real-world problems
• Recognize area as additive

Unit 2

• Solve real-world and mathematical problems involving perimeters of polygons
• Use tiles and pictures to represent areas
• Understand that data are sets of individual numerical facts or measurements
• Interpret information and solve problems from data on graphs and tables
• Draw a picture graph or scaled bar graph to represent a set of data
• Understand products as total number of objects in a number of same-size groups
• Understand quotients as the number of objects in each share when a total is equally partitioned
• Understand division as a problem of finding an unknown factor
• Know from memory all products of two one-digit numbers
• Apply commutative, associative, and distributive properties to multiply and divide

Unit 3

• Multiply and divide fluently within 100
• Find unknown numbers in multiplication or division problems within 100
• Use drawings and equations with a symbol to represent an unknown number
• Solve two-step word problems involving the four operations
• Identify arithmetic patterns (5 times a number always ends in 5 or 0)
• Assess the reasonableness of answers (using estimation and mental calculation)
• Understand a fraction as a quantity formed when a whole is partitioned into equal parts
• Understand that a unit fraction (1/b) is the quantity formed by one part when the whole is partitioned into b equal parts
• Represent fractions on a number line diagram
• Compare fractions by reasoning about their size

Unit 4

• Explain the concept of fraction equivalence
• Recognize and generate simple equivalent fractions
• Create models to show equivalent fractions
• Identify and describe a variety of 2-dimensional and 3-dimensional shapes
• Understand that shapes in different categories may share attributes
• Understand that rectangles, rhombuses, squares, and trapezoids are all quadrilaterals
• Categorize shapes by their attributes
• Partition shapes into equal areas, describing each part as a unit fraction of the whole (for a shape partitioned into 6 parts with equal area, each part is ¹⁄₆ of the whole)
• Understand and use place value to 1,000
• Round numbers to the nearest 10 or 100
• Add and subtract within 1,000 using place value understandings
• Multiply one-digit whole numbers by multiples of 10