Contents:
1. Mathematics 5, Quarter 2 - Module 1: Relating Fraction and Ratio.
2. Mathematics 5, Quarter 2 - Module 2: Defining and Illustrating Ratio and Proportion.
3. Mathematics 5, Quarter 2 - Module 3: Solving Problems Involving Different Types of Proportion.
4. Mathematics 5, Quarter 2 - Module 4: Finding the Percentage, Base and Rate in a Given Problem.
5. Mathematics 5, Quarter 2 - Module 5: Solving Problems Involving Percent.
6. Mathematics 5, Quarter 2 - Module 6: Understanding Numbers Expressed in Exponential Notation.
7. Mathematics 5, Quarter 2 - Module 7: Working with Order of Operations.
8. Mathematics 5, Quarter 2 - Module 8: Describing Set of Integers.
9. Mathematics 5, Quarter 2 - Module 9: Comparing Integers with Whole Numbers, Fractions, and Decimals.
10. Mathematics 5, Quarter 2 - Module 10: Comparing and Arranging Integers on the Number Line.
11. Mathematics 5, Quarter 2 - Module 11: Adding Integers.
12. Mathematics 5, Quarter 2 - Module 12: Subtracting Integers.
13. Mathematics 5, Quarter 2 - Module 13: Multiplying Integers.
14. Mathematics 5, Quarter 2 - Module 14: Dividing Integers.
Objective
Curriculum Information
Education Type
K to 12
Grade Level
Grade 6
Learning Area
Mathematics
Content/Topic
Numbers and Number Sense
Intended Users
Educators, Learners
Competencies
Adds and subtracts simple fractions and mixed numbers without or with regrouping
Solves routine and nonroutine problems involving addition andor subtraction of fractions using appropriate problem solving strategies and tools
Creates problems with reasonable answers involving addition andor subtraction of fractions
Multiplies simple fractions and mixed fractions
Solves routine or nonroutine problems involving multiplication without or with addition or subtraction of fractions and mixed fractions using appropriate problem solving strategies and tools
Creates problems with reasonable answers involving multiplication without or with addition or subtraction of fractions and mixed fractions
Divides simple fractions and mixed fractions
Solves routine or nonroutine problems involving division without or with any of the other operations of fractions and mixed fractions using appropriate problem solving strategies and tools
Creates problems with reasonable answers involving division without or with any of the other operations of fractions and mixed fractions
Adds and subtracts decimals and mixed decimals through ten thousandths without or with regrouping
Solves 1 or more steps routine and nonroutine problems involving addition andor subtraction of decimals and mixed decimals using appropriate problem solving strategies and tools
Creates problems with reasonable answers involving addition andor subtraction of decimals and mixed decimals
Multiplies decimals and mixed decimals with factors up to 2 decimal places
Multiplies mentally decimals up to 2 decimals places by 01 00110 and 100
Solves routine and nonroutine problems involving multiplication of decimals and mixed decimals including money using appropriate problem solving strategies
Solves multistep problems involving multiplication and addition or subtraction of decimals mixed decimals and whole numbers including money using appropriate problem solving strategies and tools
Creates problems with reasonable answers involving multiplication without or with addition or subtraction of decimals mixed decimals and whole numbers including money
Divides whole numbers by decimals up to 2 decimal places and vice versa
Divides decimalsmixed decimals up to 2 decimal places
Divides decimals up to 4 decimal places by 01 001 and 0001
Divides decimals up to 2 decimal places by 10 100 and 1 000 mentally
Differentiates terminating from repeating nonterminating decimal quotients
Solves routine and nonroutine problems involving division of decimals mixed decimals and whole numbers including money using appropriate problem solving strategies and tools
Solves multistep routine and nonroutine problems involving division and any of the other operations of decimals mixed decimals and whole numbers including money using appropriate problem solving strategies and tools
Creates problems with reasonable answers involving division without or with any of the other operations of decimals mixed decimals and whole numbers including money
Expresses one value as a fraction of another given their ratio and vice versa
Finds how many times one value is as large as another given their ratio and vice versa
Defines and illustrates the meaning of ratio and proportion using concrete or pictorial models
Sets up proportions for groups of objects or numbers and for given situations
Finds a missing term in a proportion direct inverse and partitive
Solves problems involving direct proportion partitive proportion and inverse proportion in different contexts such as distance rate and time using appropriate strategies and tools
Creates problems involving ratio and proportion with reasonable answers
Finds the percentage or rate or percent in a given problem
Solves routine and nonroutine problems involving finding the percentage rate and base using appropriate strategies and tools
Solves percent problems such as percent of increasedecrease discounts original price rate of discount sale price markedup price commission sales tax and simple interest
Creates problems involving percent with reasonable answers
Describes the exponent and the base in a number expressed in exponential notation
Gives the value of numbers expressed in exponential notation
Interprets and explains the grouping exponent multiplication division addition subtraction gemdas rule
Performs two or more different operations on whole numbers with or without exponents and grouping symbols
Identifies reallife situations that make use of integers
Describes the set of integers
Compares integers with other numbers such as whole numbers fractions and decimals
Represents integers on the number line
Compares and arranges integers
Describes and interprets the basic operations on integers using materials such as algebra tiles counters chips and cards
Performs the basic operations on integers
Solves routine and nonroutine problems involving basic operations of integers using appropriate strategies and tools
