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Competencies
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Visualizes numbers up to 10 000 000 with emphasis on numbers 100 001 10 000 000
Reads and writes numbers up to10 000 000 in symbols and in words
Rounds numbers to the nearest hundred thousand and million
Uses divisibility rules for 3 6 and 9 to find common factors
Uses divisibility rules for 4 8 12 and 11 to find common factors
Solves routine and nonroutine problems involving factors multiples and divisibility rules for 23456891011 and 12
Creates problemswith reasonable answers involving factors multiples and divisibility rules
States explains and interprets parenthesis multiplication division addition subtraction pmdas or grouping multiplication division addition subtraction gmdas rule
Simplifies a series of operations on whole numbers involving more than two operations using the pmdas or gmdas rule
Finds the common factors and the gcf of 24 numbers using continuous division
Finds the common multiples and lcm of 24 numbers using continuous division
Solves reallife problems involving gcf and lcm of 23 given numbers
Adds fractions and mixed fractions without and with regrouping
Subtracts fractions and mixed fractions without and 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 using appropriate problem solving strategies
Visualizes multiplication of fractions using models
Multiplies a fraction and a whole number and another fraction
Reads and writes decimal numbers through ten thousandths
Rounds decimal numbers to the nearest hundredth and thousandth
Compares and arranges decimal numbers
Visualizes addition and subtraction of decimals
Adds and subtracts decimal numbers through thousandths without and with regrouping
Estimates the sum or difference of decimal numbers with reasonable results
Solves routine or nonroutine problems involving addition and subtraction of decimal numbers including money using appropriate problem solving strategies and tools
Creates problems with reasonable answers involving addition andor subtraction of decimal numbers including money
Visualizes multiplication of decimal numbers using pictorial models
Multiplies decimals up to 2 decimal places by 1 to 2digit whole numbers
Multiplies decimals with factors up to 2 decimal places
Estimates the products of decimal numbers with reasonable results
Solves routine and nonroutine problems involving multiplication without or with addition or subtraction of decimals and whole numbers including money using appropriate problem solving strategies and tools
Visualizes division of decimal numbers using pictorial models
Divides decimals with up to 2 decimal places
Divides whole numbers with quotients in decimal form
Estimates the quotients of decimal numbers with reasonable results
Solves routine and nonroutine problems involving division without or with any of the other operations of decimals and whole numbers including money using appropriate problem solving strategies and tools
Creates problems with reasonable answers involving multiplication andor division or with any of the other operations of decimals and whole numbers including money
Visualizes the ratio of 2 given numbers
Expresses ratio using either the colon or fraction
Identifies and writes equivalent ratios
Expresses ratios in their simplest forms
Finds the missing term in a pair of equivalent ratios
Defines and describes a proportion
Recognizes when two quantities are in direct proportion
Visualizes percent and its relationship to fractions ratios and decimal numbers using models
Defines percentage rate or percent and base
Identifies the base percentage and rate in a problem
Finds the percentage in a given problem
Solves routine and nonroutine problems involving percentage using appropriate strategies and tools
Creates problems involving percentage with reasonable answers
Visualizes names and describes polygons with 5 or more sides
Describes and compares properties of polygons regular and irregular polygons
Draws polygons with 5 or more sides
Visualizes congruent polygons
Visualizes and describes a circle
Identifies the terms related to a circle
Draws circles with different radii using a compass
Visualizes and describes solid figures
Makes models of different solid figures cube prism pyramid cylinder cone and sphere using plane figures
Formulates the rule in finding the next term in a sequence
Uses different strategies looking for pattern working backwards etc to solve for the unknown in simple equations involving one or more operations on whole numbers and fractions eg 3x_ 10 the unknown is solved by working backwards
Measures time using a 12hour and a 24hour clock
Calculates time in the different world time zones in relation to the philippines
Solves problems involving time
Visualizes circumference of a circle
Measures circumference of a circle using appropriate tools
Derives a formula in finding the circumference of a circle
Finds the circumference of a circle
Solves routine and nonroutine problems involving circumference of a circle
Visualizes area of a circle
Derives a formula in finding the area of a circle
Finds the area of a given circle
Solves routine and nonroutine problems involving the area of a circle
Creates problems involving a circle with reasonable answers
Visualizes the volume of a cube and rectangular prism
Names the appropriate unit of measure used for measuring the volume of a cube and a rectangle prism
Derives the formula in finding the volume of a cube and a rectangular prism using cubic cm and cubic m
Converts cu cm to cu m and vice versa cucm to l and vice versa
Finds the volume of a given cube and rectangular prism using cu cm and cu m
Estimates and uses appropriate units of measure for volume
Solves routine and nonroutine problems involving volume of a cube and rectangular prism in reallife situations using appropriate strategies and tools
Creates problems with reasonable answers involving volume of a cube and rectangular prism in reallife situations
Reads and measures temperature using thermometer alcohol andor digital in degree celsius
Estimates the temperatureeg inside the classroom
Solves routine and nonroutine problems involving temperature in reallife situations
Creates problems involving temperature with reasonable answers
Collects data on one to two variables using any source
Organizes data in tabular form and presents them in a line graph
Interprets data presented in different kinds of line graphs single to doubleline graph
Solves routine and nonroutine problems using data presented in a line graph
Draws inferences based on data presented in a line graph
Describes experimental probability
Performs an experimental probability and records result by listing
Analyzes data obtained from chance using experiments involving letter cards a to z and number cards 0 to 20
Solves routine and nonroutine problems involving experimental probability
Creates routine and nonroutine problems involving experimental probability
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Visualizes numbers up to 10 000 000 with emphasis on numbers 100 001 – 10 000 000.
Reads and writes numbers up to 10 000 00 in symbols and in words.
Rounds numbers to the nearest hundred thousand and million.
Uses divisibility rules for 2, 5, and 10 to find the common factors of numbers.
Uses divisibility rules for 3, 6, and 9 to find common factors.
Uses divisibility rules for 4, 8, 12, and 11 to find common factors.
Solves routine and non-routine problems involving factors, multiples, and divisibility rules for 2,3,4,5,6,8,9,10,11, and 12.
Creates problems(with reasonable answers) involving factors, multiples and divisibility rules.
States, explains, and interprets parenthesis, multiplication, division, addition, subtraction (pmdas) or grouping, multiplication, division, addition, subtraction (gmdas) rule.
Simplifies a series of operations on whole numbers involving more than two operations using the pmdas or gmdas rule.
Finds the common factors and the gcf of 2–4 numbers using continuous division
Finds the common multiples and lcm of 2–4 numbers using continuous division
Solves real-life problems involving gcf and lcm of 2-3 given numbers
Creates problems ( with reasonable answers) involving gcf and lcm of 2-3 given numbers.
Adds fractions and mixed fractions without and with regrouping
Subtracts fractions and mixed fractions without and with regrouping
Solves routine and non-routine problems involving addition and/or subtraction of fractions using appropriate problem solving strategies and tools
Creates problems (with reasonable answers) involving addition and/or subtraction of fractions using appropriate problem solving strategies
Visualizes multiplication of fractions using models
Multiplies a fraction and a whole number and another fraction
Multiplies mentally proper fractions with denominators up to 10.
Solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and whole numbers using appropriate problem solving strategies and tools.
Creates problems ( with reasonable answers) involving multiplication of fractions.
Shows that multiplying a fraction by its reciprocal is equal to 1.
Visualizes division of fractions.
Divides
- simple fractions
- whole numbers by a
fraction and vice versa
Solves routine or non-routine problems involving division without or with any of the other operations of fractions and whole numbers using appropriate problem solving strategies and tools.
Creates problems ( with reasonable answers) involving division or with any of the other operations of fractions and whole numbers.
Uses different strategies( looking for pattern, working backwards, etc.) to solve for the unknown in simple equations involving one or more operations on whole numbers and fractions. e.g. 3x_ + = 10( the unknown is solved by working backwards)
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