MATHEMATICS IV - RBEC

FIRST QUARTER

I. WHOLE NUMBERS

A. Comprehension of Whole Numbers 1. Read and write numbers through millions in symbols and in words

1.1 Identify numbers from 100 001 through millions/ billions1.2 Give the place value of each digit in a 6 or more digit numbers1.3 Read and write numbers through millions/billions in symbols1.4 Read and write numbers through millions/billions in words

2. Round off numbers to the nearest2.1 Tens, hundreds, thousands 2.2 Ten thousands, hundred thousands 2.3 Millions, billions

B. Comprehension of Addition

1. Add 6 or more digit numbers with 4 or more addends with sums through billions1.1 without regrouping 1.2 with regrouping in any two or more places

2. Estimate the sum of 6 or more digit addends3. Add mentally 2 to 3 digit numbers with sums up to 300 without regrouping

4. Application of Addition4.1 Solve word problems involving addition of whole numbers including money with sums

through millions and billions without and with regrouping following the steps in problem solving

4.2 Solve mentally 1 step word problems involving addition with sums up to 300 without regrouping

C. Comprehension of Subtraction1. Subtract 5 or more digit numbers from 6 or more digit numbers without and with regrouping in any

or all places and involving three or more zeros in the minuend.

1.1 Subtract 5 or more digit numbers from 6 or more digit numbers without regrouping1.2 Subtract 5 or more digit numbers from 6 or more digit numbers with regrouping

1.2.1 having zeros in the minuends and/or subtrahend1.2.2 with three continuous or non-continuous zeros in both minuends and subtrahend and

with regrouping in any or all places1.3 Estimate the difference of two numbers with four to six digits

2. Subtract mentally numbers with minuends up to 300 without regrouping

3. Application of Subtraction3.1 Solve 1-step word problems involving subtraction of whole numbers including money without

and with regrouping following the steps in problem-solving 3.2 Solve mentally 1- step word problems involving subtraction without regrouping

4. Application of Addition and Subtraction 4.1 Solve 2-step word problems involving addition and subtraction including

money

SECOND QUARTER

D. Comprehension of Multiplication1. Show the properties of multiplication

- Zero Property- Identity Property- Distributive Property of Multiplication over Addition

2. Multiply 5 or more factors by 3 to 5 digit factors without and with regrouping and with zero difficulty

2.1 Multiply 5 or more digit factors by 3- to 5-digit factors without regrouping2.2 Multiply 5 or more digit factors by 3- to 5-digit factors with regrouping2.3 Multiply 5 or more digit factors having one to three zeros in both factors without and with

regrouping2.4 Multiply 5 digit or more factors by multiples of 10, 100 and 1,000

3. Estimate the products of two factors with 5 or more digits by 2 to 3-digit numbers4. Multiply mentally 2-digit numbers with products up to 200 without regrouping5. Write numbers in exponential form6. Write numbers in standard form to scientific notation and vice-versa7. Application of Multiplication

7.1 Solve word problems involving multiplication of whole number including money following the steps in problem-solving

8. Application of Multiplication and Any of Addition/Subtraction8.1 Solve 2 step word problems involving multiplication and any of addition/ subtraction following

the steps in solving 2-step problems

E. Comprehension of Division

1. Divide 5 or more digit numbers by 3 or more digit numbers without or with remainder and with zero difficulty.1.1 Divide 5 or more digit number by 3 or more digit numbers without remainder 1.2 Divide 5 or more digit numbers by 3 or more digit numbers with remainder1.3 Divide whole numbers by 10, 100 and 1,0001.4 Divide 5 or more digit numbers by 3 or more digit numbers with zeros in the middle or

continuous zero in the dividend

2. Estimate the quotient of 5 or more digit dividends by 3 or more numbers3. Divide mentally 2-3 digit numbers by 1-digit numbers without remainder4. Application of Division

4.1 Solve 1- step word problems involving division of 5 or more digit numbers by 3 or more digit numbers including money following the steps in problem-solving

5. Application of the Four Fundamental Operations5.1 Solve 2 to 3 step word problems involving division and any one or two of the other

fundamental operations learned including money following the steps in solving 2-step problem

THIRD QUARTER

II. RATIONAL NUMBERS

A. Comprehension of Decimals and money1. Read and write common fractions in decimal form through hundredths

1.1 Visualize common fractions as decimals using models like blocks, grid and money 1.2 Write common fractions in decimal form1.3 Read and write decimal numbers through hundredths1.4 Rename in decimal form fractions whose denominators are powers of 10

1.5 Give the place value of each digit of a given decimal

2. Express money as pesos/centavos3. Round decimal to the nearest tenths/hundredths/ thousandths

B. Comprehension of Addition and Subtraction of Decimals

1. Add and subtract decimals through hundredths without and with regrouping 1.1 Add decimals through hundredths without and with regrouping1.2 Subtract decimals through hundredths without or with regrouping

2. Add and subtract mixed decimals with regrouping1.1 Add mixed decimals with regrouping1.2 Subtract mixed decimals with regrouping

3. Application of addition and subtraction of decimals3.1 Solve word problems involving either addition or subtraction of decimals including money

following the steps in problem-solving 3.2 Solve 1 to 2 step word problems involving addition and subtraction of decimals including money

following the steps in solving 2-step problems

C. Comprehension of Fractions

1. Differentiate fractions including those with denominators of 10 and 1001.1 Identify proper fraction/ improper fraction/mixed forms from a given set of fractions

including those with denominators of 10 and 1001.1.1 Identify fractions using regions, sets and number line1.1.2 Use fraction to represent division

1.2 Identify similar and dissimilar fractions from a given set of fractions2. Order similar fractions written in different forms from least to greatest and vice-versa3. Change improper fraction to mixed forms and vice-versa4. Change one (1) to fraction form and vice-versa5. Rename decimals to fractions

D. Comprehension of Addition and Subtraction of Fraction

1. Add similar fractions and whole numbers without regrouping1.1 Visualize addition of similar fractions1.2 Add similar fraction1.3 Add fraction and a whole number1.4 Add mentally similar fractions

2. Subtract similar fractions without regrouping 2.1 Subtract similar fractions2.2 Subtract a fraction from a whole number2.3 Subtract mentally similar fractions

3. Application of Addition and Subtraction of fractions3.1 Solve word problems involving addition of similar fractions without regrouping following

the steps in problem solving 3.2 Solve word problems involving subtraction of similar fractions without regrouping following

the steps in problem solving

E. Comprehension of Multiplication of Fractions1. Multiply fractions

1.1 Visualize multiplication of fraction1.2 Find a fractional part of a number

1.2.1 Translate expressions such as: of , of

1.3 Multiply a fraction by another fraction3. Application of Multiplication

3.1 Solve word problems involving multiplication of fractions following the steps in problem solving

FOURTH QUARTER

III. GEOMETRYA. Comprehension of Plane Figures and Angles

1. Construct plane figures1.1 Identify the different kinds of plane figures1.2. a. Identify the parts of a triangle

b. quadrilateral 1.3 Describe plane figures according to sides, corners, shapes and their functional use

1.3.1 Describe plane figures with 3 and 4 sides and corners- square- rectangle- different types of triangles

1.4 Draw plane figures using a ruler and compass2. Draw different kinds of angles

2.1 Identify parts of an angle2.2 Name different kinds of angles such as right angle, acute angle and obtuse angle

2.2.1 Visualize the different kinds of angles as acute, right obtuse2.3 Classify angles as right, acute or obtuse

2.4 Identify congruent angles

IV. MEASUREMENTA. Comprehension of Perimeter1. Find the perimeter of polygons: triangle, quadrilateral, pentagon, etc.2. Derive a formula for finding the perimeter of polygons3. Application of Perimeter

3.1 Solve word problems involving perimeter measures following the steps in problem solving B. Comprehension of Area1. Find the area of polygons in square meter/centimeter of a triangle and a parallelogram

1.1 Tell the unit of measure used for measuring the area of triangles and parallelograms1.2 Tell the unit of square measures used for measuring the area of a triangle/

parallelogram1.3 Derive a formula for finding the area of :

1.3.1 Triangle1.3.2 Parallelogram

C. Comprehension of Volume

1. Make measurement using non-standard units: cubes, marbles 2. Compare among the non-standard units of measuring volume in terms of consistency and

accuracy3. Approximate measurement of volume

IV. GraphsA. Comprehension of Bar Graph

1. Read and interpret data presented in a bar graph1.1 Read the following parts of a bar graph : a. title b. legend c. labels1.2 Interpret bar graphs

2. Construct bar graphs2.1 Organize data presented in a bar graph

3. Find the average of data presented in a bar graph