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Year 4
Word Problems: Mixed Operations
Year 4
1.
Number and Algebra
1.1.
Number and place value
1.1.1.
Even and odd: Properties
1.1.2.
Prime & composite numbers
1.1.3.
Rounding numbers
1.2.
Roman Numerals
1.3.
Representation of Large Numbers
1.3.1.
Write Large Numbers by Separating the Periods
1.3.2.
Write Numerals as Number Names
1.3.3.
Write Number Names as Numerals
1.4.
Forming Numbers
1.5.
Place Value and Face Value of a Digit in a Numeral
1.6.
Expanded Form of a Number
1.7.
Compare and Order Numbers
1.7.1.
Comparing numbers
1.7.2.
Ordering numbers
2.
Addition
2.1.
Estimate sums
2.2.
Add numbers up to five digits
2.2.1.
Add two numbers up to five digits (Without Carrying)
2.2.2.
Add three or more numbers up to five digits (Without Carrying)
2.2.3.
Add two numbers up to five digits (With Carrying)
2.2.4.
Add three or more numbers up to five digits (With Carrying)
2.3.
Find the Missing Digit While Adding Numbers
2.4.
Addition - Properties and Facts
2.4.1.
Order/Commutative Property of Addition
2.4.2.
Grouping/Associative Property of Addition
2.4.3.
Addition Property of Zero
2.5.
Word Problems on Addition
3.
Subtraction
3.1.
Estimate difference
3.2.
Subtract numbers up to five digits
3.2.1.
Subtract numbers up to five digits (Without Borrowing)
3.2.2.
Subtract numbers up to five digits (With Borrowing)
3.3.
Find the Missing Digit While Subtracting Numbers
3.4.
Subtraction - Properties and Facts
3.4.1.
Subtraction Property of Zero
3.4.2.
Subtraction of One
3.4.3.
Subtraction by Itself
3.5.
Word Problems on Subtraction
4.
Mixed operations
4.1.
Choose numbers with a particular sum, difference, product or quotient
4.2.
Input/output tables with addition, subtraction, multiplication and division
4.3.
Inequalities involving addition, subtraction, multiplication and division
4.4.
Add and Subtract 2-Digit and 3-Digit Numbers
4.5.
Balance Sentences - Addition and Subtraction (up to 999)
4.6.
Word Problems Involving Both Addition and Subtraction
5.
Multiplication
5.1.
Multiplication using area models
5.1.1.
Multiplication using area models I
5.1.2.
Multiplication using area models II
5.2.
Estimate products
5.3.
Multiplicand, Multiplier and Product
5.4.
Multiplication - Properties and Facts
5.4.1.
Order Property of Multiplication
5.4.2.
Grouping/Associative Property of Multiplication
5.4.3.
Multiplicative Property of One
5.4.4.
Multiplicative Property of Zero
5.4.5.
Distributive Property of Multiplication over Addition
5.4.6.
Identify the Property of Multiplication
5.5.
Multiplication by Multiples of 10
5.5.1.
Multiplication by 10, 100, and 1000
5.5.2.
Multiplication by a Multiple of 10, 100, and 1000
5.5.3.
Mixed Problems on Multiplication by Multiples of 10
5.6.
Multiplication by 1-Digit Numbers
5.6.1.
Multiplication: 2-Digit by 1-Digit
5.6.2.
Multiplication: 3-Digit by 1-Digit
5.6.3.
Multiplication: 4-Digit by 1-Digit
5.7.
Multiplication by 2-Digit Numbers
5.7.1.
Multiplication: 2-Digit by 2-Digit
5.7.2.
Multiplication: 3-Digit by 2-Digit
5.8.
Word Problems on Multiplication
6.
Division
6.1.
Division using area models
6.2.
Divisibility rules
6.3.
Estimate quotients
6.4.
Divider, Quotient, Dividend, and Remainder
6.5.
Divide by 10, 100, 1000 etc
6.6.
Divide by Multiples of 10, 100, 1000 etc
6.7.
Long Division
6.7.1.
Divide a Number by a 2-digit Number (No Remainder)
6.7.2.
Divide a Number by a 3-digit Number (No Remainder)
6.7.3.
Divide a Number by a 2-digit Number (With Remainder)
6.7.4.
Divide a Number by a 3-digit Number (With Remainder)
6.8.
Division - Properties and Facts
6.8.1.
Division by One
6.8.2.
Division by the Number Itself
6.8.3.
Division by Zero
6.8.4.
Dividing Zero by a Number
6.9.
Word Problems on Division
7.
Patterns and algebra
7.1.
Number sequence
7.2.
Multiplication pattern
7.3.
Rule for the Pattern
7.4.
Find the Missing Term in the Pattern
7.5.
Words problems on number pattern
7.6.
Complete an increasing number pattern
7.7.
Complete a geometric number pattern
7.8.
Number patterns: mixed review
8.
Fractions and decimals
8.1.
Fraction as a Part of a Whole
8.2.
Fractional Numbers and Fractions
8.3.
Numerator and Denominator of a Fraction
8.4.
Division as Fraction
8.5.
Fraction as Division
8.6.
Fractions on a Number Line
8.7.
Equivalent Fractions
8.8.
Equivalent fractions on number lines
8.9.
Select fractions equivalent to whole numbers using models
8.10.
Find fractions equivalent to whole numbers
8.11.
Comparison of Fractions
8.11.1.
Compare and Order Fractions with Same Denominators
8.11.2.
Compare and Order Fractions with Same Numerators
8.12.
Like and Unlike Fractions
8.13.
Unit Fraction
8.14.
Proper, Improper and Mixed fractions
8.14.1.
Understand the Meaning of Proper, Improper and Mixed Fractions
8.14.2.
Convert Improper Fractions to Mixed Fractions
8.14.3.
Convert Mixed Fractions to Improper Fractions
9.
Decimals
9.1.
Decimals on number lines
9.2.
Equivalent decimals
9.3.
Conversions
9.3.1.
Converting Decimals into Fractions(With Denominators as Power of 10)
9.3.2.
Converting Fractions(With Denominators as Power of 10) into Decimals
9.4.
Pictorial Representation of a Decimal Number
9.5.
Number Names of Decimal Numbers
9.6.
Place Value of the Digits of a Decimal Number
9.7.
Expanded Form of Decimal Numbers
10.
Money and financial mathematics
10.1.
Round to the nearest five cents
10.2.
Compare money amount
10.3.
Round to the nearest five cents: word problems
10.4.
Price list
10.5.
Addition and Subtraction of Money
10.5.1.
Addition of Amounts in Dollars and Cents
10.5.2.
Subtraction of Amounts in Dollars and Cents
10.6.
Word Problems on Money
10.6.1.
Word Problems on Addition of Money
10.6.2.
Word Problems on Subtraction of Money
11.
Measurement and geometry
11.1.
Using units of measurement
11.1.1.
Time patterns
11.1.2.
Word Problems on Time
11.1.3.
Reading thermometer
11.1.4.
Metric Units of Capacity
11.1.5.
Measure Using a Vessel
11.1.6.
Metric Units of Weight
11.1.7.
Measure Using a Weighing Balance
11.1.8.
Metric Units of Length
11.1.9.
Measure Using a Ruler
11.1.10.
Compare metric units of length
11.1.11.
Compare metric units of weights
11.1.12.
Compare metric units of capacity
11.1.13.
Convert units of time
11.1.14.
Add & subtract time units
11.1.15.
A.M or P.M
11.1.16.
Elapsed time
11.2.
Shape
11.2.1.
Find the area of figures made of unit squares
11.2.2.
Select figures with the given area
11.2.3.
Find the area on grid
11.2.4.
Area word problems
11.2.5.
Volume of rectangular prisms made of unit cubes
11.2.6.
Volume of irregular figures made of unit cubes
11.3.
Location and transformation
11.3.1.
Map distances
11.3.2.
Symmetry Around Us
11.3.3.
Rotational Symmetry
11.3.4.
Identifying Mirror Halves
11.3.5.
Symmetry in Geometric Figures
11.3.6.
Symmetry in Alphabets
11.3.7.
Symmetry in Numerals
11.4.
Geometric reasoning
11.4.1.
Angles as fractions of a circle
11.4.2.
Angles greater than, less than or equal to a right angle
12.
Statistics and probability
12.1.
Chance
12.1.1.
Combination
12.1.2.
Certain, Likely, Unlikely, and Impossible Events
12.1.3.
Identify independent and dependent events
12.2.
Data representation and interpretation
12.2.1.
Introduction to Pictograph
12.2.2.
Creating Pictographs
12.2.3.
Interpreting Pictographs
12.2.4.
Creating Line graphs
12.2.5.
Interpret line graphs
12.2.6.
Create frequency charts
12.2.7.
Interpret frequency charts
12.2.8.
Create Bar Graphs
12.2.9.
Interpreting Bar Graphs
12.3.
Pictographs
12.3.1.
Introduction to Pictograph
12.3.2.
Drawing Pictographs
12.3.3.
Interpreting Pictographs
12.4.
Bar Graphs
12.4.1.
Drawing Bar Graphs
12.4.2.
Interpreting Bar Graphs
Year 4 Australian School Math
Word Problems: Mixed Operations
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Grade 4
Philippines