Elementary Mathematics - Grade FourWhole Numbers 1: Comprehension of Whole Numbers - Read and write numbers through millions in symbols and in words
- Identify numbers from 100 001 through millions/ billions.
- Give the place value of each digit in a 6 or more digit numbers.
- Read and write numbers through millions/billions in symbols.
- Read and write numbers through millions/billions in words.
- Round off numbers to the nearest:
- tens, hundreds, thousands
- ten thousands, hundred thousand
- millions, billions
2: Comprehension of Addition - Add six or more digit numbers with 4four or more addends with sums through billions
- Without regrouping.
- With regrouping in any two or more places
- Estimate the sum of two to three-digit numbrs with sums of up to 300 without regrouping
- Application of Addition
- Problems involving addition of whole numbers including money with sums through millions and billions without and with regrouping following the steps in problem solving
- Solve mentally one-step word problems involving addition with sums up to 300 without regrouping
3: Comprehension of Subtraction - Subtract 5 or more digit numbers from six or more digit numbers without and with regrouping in any or all places and involving three or more zeros both in the minuend and subrahend.
- Subtract five or more digit numbers from six or more digit numbers without regrouping.
- Subtract five or more digit numbers from six or more digit numbers with three continuous or non-continuous zeros in both minuends and subtrahend and with regrouping in any or all places
- Estimate the difference of two numbers with four to six digits
- Subtract mentally 2 digit numbers with minuends up to 300 without regrouping
- Application of Subtraction
- Solve one-step word problems involving subtraction of whole numbers including money without and with regrouping
- Solve mentally one-step word problems involving subtraction without regrouping following the steps in problem solving
- Application of Addition and Subtraction
- Solve 2 step word problems involving addition and subtraction of whole numbers including money following the steps in solving two-step problems
4: Comprehension of Multiplication - Show the properties of multiplication
- Zero property
- Identity property
- Distributive Property of Multiplication over Addition
- Multiply five or more factors by three to five-digit factors without and with regrouping and with zero in any of the factors
- Multiply five or more digit factors by three to five-digit factors without regrouping.
- Multiply five or more digit factors by three to five-digit factors with regrouping
- Multiply five or more digit factors having one to three zeros in both factors without and with regrouping
- Multiply five or more digit factors by multiples of 10, 100 and 1,000
- Estimate the products of two factors with five or more digits by two to three-digit numbers
- Multiply mentally two-digit numbers with products up to 200 without regrouping
- Application of Multiplication
- Solve word problems involving multiplication of whole numbers including money following the steps in problem solving
- Solve two-step word problems involving multiplication and any of addition/subtraction following the steps in solving two-step problems
5: Comprehension of Division - Divide five or more digit numbers by three or more digit numbers without or with remainder and with zero difficulty
- Divide five or more digit numbers by three or more digit numbers without remainder.
- Divide five or more digit numbers by three or more digit numbers with remainder.
- Divide whole numbers by 10, 100 and 1,000.
- Divide five or more digit numbers by three or more digit numbers with zeros in the middle or continuous zero in the dividend.
- Divide multiples of 10 by 10 or 100 or 1000
- Estimate the quotient of five or more digit dividends by three or more digit divisors
- Divide mentally two to three-digit numbers by one-digit numbers without remainder
- Application of Division
- Solve one-step word problems involving division of five or more digit numbers by three or more digit numbers including money following the steps in problem solving
- Solve two to three-step word problems involving division and any one or two of the other fundamental operations learned including money following the steps in solving two-step problems
Rational Numbers 6: Comprehension of Decimals and Money - Read and write common fractions in decimal form through hundredths
- Visualize common fractions as decimals using models like blocks, grids and money
- Write common fractions in decimal form
- Read and write decimal numbers through hundredths
- Rename fractions whose denominators are 10 and 100 in decoimal form and vice versa
- Give the place value of each digit of a given decimal through hundredths
- Express/write money as pesos/centavos
- Round decimal to the nearest tenths
7: Comprehension of Addition and Subtraction of Decimals - Add and subtract decimals through hundredths without and with regrouping
- Add decimals through hundredths without and with regrouping.
- Subtract decimals through hundredths without or with regrouping.
- Add and subtract mixed decimals with regrouping
- Add mixed decimals with regrouping.
- Subtract mixed decimals with regrouping.
- Application of addition and subtraction of decimals
- Solve word problems involving either addition or subtraction of decimals including money following the steps in problem solving
- Solve one to two-step word problems involving addition and subtraction of decimals including money following the steps in solving two-step problems
8: Comprehension of Fractions - Differentiate fractions including those with denominators of 10 and 100
- Identify proper fraction/ improper fraction/mixed forms from a given set of fractions including those with denominators of 10 and 100.
- Identify proper fractions/improper fractions/mixed forms from a given set of fractions including those with denominators of 10 and 100
- Identify fractions using regions, sets and number line
- Use fraction to represent division
- Identify similar and dissimilar fractions from a given set of fractions.
- Order similar fractions written in different forms from least to greatest and vice-versa
- Change improper fraction to mixed forms and vice-versa
- Change one (1) to fraction form and vice-versa.
- Rename decimals to fractions
9: Comprehension of Addition and Subtraction of Fractions - Add similar fractions and whole numbers without regrouping
- Visualize addition of similar fractions.
- Add similar fraction.
- Add fractions and a whole number.
- Add mentally similar fraction.
- Subtract similar fractions without regrouping
- Visulaize subtraction of similar fractions
- Subtract similar fractions
- Subtract a fraction from a whole number
- Subtract mentally similar fractions.
- Application of Addition and Subtraction of fractions
- Solve word problems involving addition of similar fractions without regrouping following the steps in problem solving
- Solve word problems involving subtraction of similar fractions without regrouping following the steps in problem solving
10: Comprehension of Multiplication of Fractions - Multiply fractions
- Visualize multiplication of fractions (visual models)
- Find a fractional part of a number
- Translate expressions such as: 1/2 of 2/3 , 2/3 of 1/6
- Multiply a fraction by another fraction
- Application of Multiplication of fractions
- Solve word problems involving multiplication of fractions following the steps in problem solving
Geometry 11: Comprehension of Plane Figures and Angles - Describe different kinds of angles
- Visualize the different kinds of angles
- Identify parts of an angle
- Name different kinds of angles such as right angle, acute angle and obtuse angle
- Classify angles as right, acute or obtuse
- Identify congruent angles
- Draw congruent angles
- Describe plane figures according to their sides, corners and their functional use.
- square
- rectangle
- traingle
- parts
- types according o sides
- types according to angles
- Illustrate three or four-sided plane figures using a ruler and protractor
- Describe plane figures according to sides, corners, shapes and their functional use.
Measurement 12: Comprehension of Perimeter - Find the perimeter of polygons.
- triangle.
- quadrilateral.
- pentagon etc.
- Derive a formula for finding the perimeter of polygons
- Find the perimeter of irregular polygons
- Application of Perimeter
- Solve word problems involving perimeter measures following the steps in problem solving
13: Comprehension of Area - Find the area of parallelogram and triangle in square metre/centimetre
- Derive a formula for finding the area of a:
- Find the area of a parallelogram and triangle
- Solve word problems involving the area od a parallelogram and triangle following the steps in problem solving
14: Comprehension of Volume - Make measurement of non-standard units:
- Compare among the non-standard units of measuring volume in terms of consistency and accuracy
- Approximate measurement of volume
Graphs 15: Comprehension of Bar Graph - Read and interpret data presented in a bar graph.
- Read the following parts of a bar graph
- Interpret bar graphs.
- Construct bar graphs.
- Organize data in a bar graph.
- Find the average of data presented in a bar graph.
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