Math

Unit 1

Upon completion of this unit, students will be able to:

• Use number grid patterns for computation

• Explore the Student Reference Book

• Review and use a variety of math tools

• Use open number lines to round numbers

• Tell time to the nearest minute and calculate elapsed time

• Use mathematical models to measure elapsed time and share and revise models

• Represent and interpret data on scaled bar graphs

• Use drawings and number models to represent and solve multiplication number stories

• Solve division number stories

• Learn and develop strategies for 2s, 5s, and 10s facts

• Compare masses

• Divide wholes and sets into equal shares

• Estimate and measure masses of objects

Unit 2

Upon completion of this unit, students will be able to:

• Use basic addition and subtraction facts to solve problems with larger numbers

• Use diagrams or picture to help solve number stories

• Make sense of and solve two-step number stories

• Solve number stories using two operations

• Solve problems involving multiples of equal groups and make sense of multiplying by 0 and 1

• Solve array problems

• Create mathematical representations for solving division problems and discuss and revise models

• Solve division number stories and learn about remainders

• Explore even and odd number patterns

• Review Frames-and-Arrows diagrams and solve problems using the four operations

• Explore fraction circles, area, and liquid volume

Unit 3

Upon completion of this unit, students will be able to:

• Find missing numbers and rules in “What’s My Rule?” tables

• Make estimates for problems they solve using mental math and discuss and revise them

• Use partial-sums addition to add 2- and 3- digit numbers

• Use column addition

• Review counting-up subtraction

• Use expand and trade subtraction

• Explore area, partition rectangles, and represent data on a scaled bar graph

• Discover multiplication squares

• Learn about the turn-around rule for multiplication

• Develop the adding-a-group strategy for solving unknown multiplication facts

• Develop the subtracting-a-group strategy

• Use all four operations to generate equivalent names for numbers

Unit 4

Upon completion of this unit, students will be able to:

• Measure to the nearest half inch and centimeter

• Generate measurement data and represent the data on a line plot

• Measure distances around objects to the nearest half inch, compare masses, and determine distances in half-inch increments

• Review characteristics of polygons

• Classify quadrilaterals

• Identify and measure perimeters of rectangles and other polygons

• Distinguish between perimeter and area

• Find the area of a rectangle by using composite units

• Find areas of rectangles and write matching number sentences

• Develop strategies for finding area and perimeter

• Find areas of rectilinear figures

Units 5 and 7 (Fractions)

Upon completion of this unit, students will be able to:

• Represent fractions as equal parts of different wholes

• Represent fractions using standard notation, words, and drawings

• Recognize equivalent fractions using a visual fraction model

• Partition fraction strips and use them to name and compare fractions

• Represent fractions on a number line

• Identify fractions greater than, less than, and equal to one on a number line

• Compare fractions using visual models

• Order fractions with the same numerator and write a rule for ordering similar sets of fractions, discuss and revise work

• Partition distances to locate fractions on a number line

• Make and justify fraction comparisons

• Solve fraction number stories

• Name fractions of sets of objects

Units 5 & 7 (multiplication)

Upon completion of this unit, students will be able to:

• Use known multiplication facts, called helper facts, to solve harder multiplication facts

• Explore the use of doubling to solve number stories involving area

• Use the doubling strategy to solve multiplication facts

• Identify and explain arithmetic patterns using properties of operations

• Find missing factors

• Use square products to find products of near squares

• Solve numbers stories and discuss and revise work

• Decompose factors to solve multiplication facts

• Estimate and measure liquid volume

• Estimate the number of dots in an array, measure liquid volume, and identify equal share

• Solve number stories involving time, mass, volume, and length

Unit 6

Upon completion of this unit, students will be able to:

• Use trade-first method to solve subtraction problems

• Build fact fluency

• Use square products as helper facts to find products of near squares

• Self-assess for automaticity with multiplication facts

• Construct quadrilaterals, measure distances to the nearest ½ inch, and compare perimeter of polygons

• Use multiplication/division diagrams to make sense of and solve number stories

• Apply strategies to multiply larger factors

• Use parentheses in number sentences

• Write two-step number stories and share and revise work

• Use the order of operations to solve multistep problems

• Solve two-step number stories and represent them with equations

Unit 8

Upon completion of this unit, students will be able to:

• Use rulers to measure to the nearest ¼ inch

• Develop strategies for solving extended multiplication and division facts

• Find factors of counting numbers

• Use clues to make conjectures and arguments and discuss and revise work

• Discuss how to find products for a given factor

• Model equal-sharing situations with $10 and $1 bills

• Compare fractions, generate equivalent fractions, and explore the area of rectangles

• Explore the shared attributes of prisms

Unit 9

Upon completion of this unit, students will be able to:

• Practice multiplication facts

• Solve number stories by multiplying and dividing with multiples of 10

• Use mental steps to multiply problems involving larger factors

• Work with elapsed time, explore polygon relationships, and find mass

• Partition rectangles to solve multidigit multiplication problems

• Develop strategies for using a calculator with a broken division key and discuss and revise work