Elementary Mathematics - Grade Three

Whole Numbers

1: Comprehension of Whole Numbers

Read and write the numbers through 100,000 in symbols and in words
- Identify cardinal numbers.
  - 1000 through 10,000.
  - 10 001 though 100,000.
- Give the place value of each digit in 4 to 5 digit numbers.
- Read numbers through 100,000 in symbols and in words.
- Write numbers through 100,000 in symbols and in words.
- Write 4 to 5 digit numbers in expanded form.
- Express the relationship of numbers using expressions "less than", "greater than" and "equal to" (< > =)
Round off numbers to the
- nearest tens and hundreds.
- nearest thousands and ten thousands.
Tell when a number is odd or even
Read and write money in symbols through 1000
- Read money value in symbols through 1000.
- Write money value in symbols through 1000.
- Compare value of the different denominations of coins and bills through 1000.
Express Roman numbers through M in Hindu-Arabic symbols and vice-versa
- Read and write the value of Roman numbers in Hindu-Arabic and vice-versa.
  - I to L
  - L to C
  - C to D
  - D to M

2: Comprehension of Addition

Add 4 to 5 digit numbers up to four addends with sums up to 99 999
- Without regrouping.
- With regrouping in:
  - Tens and hundreds places.
  - Thousands and ten thousands places.
Estimate the sums of 3 to 5 digit addends
Add mentally 1 to 2 digit numbers with sums up to 100 without regrouping
Application of Addition
- Solve word problems involving addition of whole numbers with sums up to 99 999 including money following the steps in problem solving.
- Solve mentally 1 step word problems involving addition with sums up to 100 without regrouping

3: Comprehension of Subtraction

Subtract three to four-digit numbers from four to five digit numbers with minuends up to 99 999 with and without regrouping and with zerp difficulty.
Subtract three-digit numbers from four to five digit numbers with minuends up to 99 999 without regrouping
Subtract three to four-digit numbers from 4 to 5 digit numbers with regrouping
- in the thousands place
- in the ten thousand place
- with zero difficulty
Estimate the difference of two numbers with 3 to 4 digits
Subtract mentally two-digit numbers with minuends up to 99 without regrouping
Application of Subtraction
- Solveone-step word problems involving subtraction of whole numbers including money with minuends up to 99 999 without and with regrouping following the steps in problem solving.
- Solve mentally one-step word problems involving subtraction without regrouping
- Solve two-step word problems involving addition and subtraction of whole numbers including money following the steps in problem solving

4: Comprehension of Multiplication

Multiply 2 to 4 digit numbers by 1 to 2 digit numbers without and withregrouping in all places
- Multiply 2 to 4 digit numbers without and with regrouping.
  - Show that changing the order and/or regrouping in multiplication makes computation easy (commutative/associative)
  - Multiply two to four-digit numbers by one to two digit numbers without regrouping
  - Multiply two to four-digit numbers by one to two digit numbers with regrouping
  - Multiply two to four-digit numbers by one digit numbers with zero in any of the factors
  - Multiply two to four-digit numbers by multiples of 10 and 100
Estimate the product of 2 to 4 digit factors by 1 to 2 digit factors
Multiply mentally 2 digit numbers by 1 digit numbers without regroupingwith products up to 100
Application of Multiplication
- Solve one-step word problems involving multiplication of whole numbers including money following the steps in problem solving
- Solve two-step word problems involving multiplication as well as addition/subtraction including money following the steps in solving two-step problems

5: Comprehension of Division

Divide two to four-digit numbers by one to two-digit numbers without or with remainder and with zero difficulty
- Show that renaming two to three-digit dividends helps make computation easy
- Divide two to three-digit numbers by one-digit numbers without remainder.
- Divide two to three-digit numbers by one-digit numbers with remainder.
- Divide two to three-digit numbers by multiples of 10 up to 90.
- Divide two to three-digit numbers by one to two-digit numbers with zero difficulty.
- Divide 3 to 4 digit numbers by 1 to 2 digit numbers without or with remainder and with zero difficulty.
  - Divide three to four-digit numbers by one-digit numberss without remainder
  - Divide three to four-digit numbers by one to two-digit numbers with remainder
  - Divide three to four-digit numbers by one to two-digit numbers with zero difficulty
- Divide multiples of 5 by 5
- Divide multiples of 10 by 10 and 100
- Estimate the quotient of two to four-digit numbers by one to two-digit numbers
- Divide mentally two-digit numbers through 99 by one-digit numbers without remainder
- Application of Division
  - Solve one-step word problems involving division of two to four-digit numbers by one to two-digit numbers including money following the steps in solving problems
  - Solve two-step word problems involving division and any one of the fundamental operations including money following the steps in solving two-step problems
  - Solve three-step word problems involving division and any two of the other fundamental operations including money following the steps in solving two-step problems

Rational Numbers

6: Comprehension of Fractions

Order fractions less than one/equal to one/more than one
- Identify fractions less than one
- Identify fractions equal to one
- Comprehend fractions more than one
  - Recognize fractions more than one
  - Separate groups of objects to show fractions more than one
  - Read and write frations more than one in symbols and words
- Order fractions less than one/equal to one/more than one with the same denominator
Change fractions to lowest terms
- Find the greatest common factor (GCF) of two given numbers
- Reduce fractions to the lowest terms

Geometry

7: Comprehension of Line and Line Segment

Distinguish perpendicular, parallel and intersecting lines
- Visualize perpendicular, parallel and intersecting lines
- Identify perpendicular, parallel and intersecting lines
Draw congruent line segments
- Visualize congruent line segments
- Identify congruent line segments
Determine which motion turn, flip or slide creates a given tessellation
Form simple symmetrical designs out of given shapes

Measurement

8: Comprehension of Time Measure

Convert time measure from smaller to larger units and vice-versa
- seconds to minutes, minutes to hours, hours to day
- days to years, years to days
Find the exact time between dates
Application of time measure
- Solve 1 step word problems involving time measure following the steps in problem solving

9: Comprehension of Area

Find the area of a figure in square centimeters/meters
- Visualize the area of a rectangle
- Visualize the area of a square
- Derive a formula for finding the area of a rectangle/square
Application of concept of area
- Solve word problems involving area of rectangle/square following the steps in problem solving

10: Comprehension of Capacity

Find capacity using standard units of measure (litre: base unit)
Convert capacity measure from smaller to larger units and vice versa
Application of measurement of capacity
- Solve word problems involving capacity measure following the steps in problem solving

Graphs

11: Comprehension of Pictograph

Interpret data presented in a pictograph
- Name the following parts of a pictograph:
  - title
  - legend
  - labels
- Interpret the graph
Construct a pictograph
- Organize data presented in a pictograph

Calculator

12: The Calculator