Grade 4 Mathematics

Content standard

1. measures of angles 2. properties of triangles and quadrilaterals. 3. perimeter of quadrilaterals, and composite figures composed of triangles and quadrilaterals. 4. whole numbers up to 1 000 000. 5. addition of numbers with sums up to 1 000 000 and subtraction of numbers where both numbers are less than 1 000 000.

Performance standard

illustrate and measure different angles classify triangles and quadrilateral, and differentiate quadrilaterals, by applying their properties. find the perimeter of quadrilaterals and composite figures composed of triangles and quadrilaterals. read, write, and compare whole numbers up to 1 000 000. performs addition of numbers with sums up to 1 000 000 and subtraction of numbers where both numbers are less than 1 000 000.

Learning competencies (13)

• MATH-G4-Q1-01

  illustrate different angles (right, acute, and obtuse) using models.

  Measurement and Geometry

• MATH-G4-Q1-02

  measure and draw angles using a protractor.

  Measurement and Geometry

• MATH-G4-Q1-03

  draw and state the properties of triangles and quadrilaterals.

  Measurement and Geometry

• MATH-G4-Q1-04

  classify triangles and quadrilaterals according to sides and angles.

  Measurement and Geometry

• MATH-G4-Q1-05

  differentiate different quadrilaterals.

  Measurement and Geometry

• MATH-G4-Q1-06

  find the perimeter of quadrilaterals that are not squares or rectangles.

  Measurement and Geometry

• MATH-G4-Q1-07

  find the perimeter of composite figures composed of triangles and quadrilaterals.

  Measurement and Geometry

• MATH-G4-Q1-08

  read and write numbers up to 1 000 000 in numerals and in words.

  Number and Algebra

• MATH-G4-Q1-09

  determine

  • a. the place value of a digit in a 6-digit number,
  • b. the value of a digit, and
  • c. the digit of number, given its place value.

  Number and Algebra

• MATH-G4-Q1-10

  compare numbers up to 1 000 000 using =, < and >.

  Number and Algebra

• MATH-G4-Q1-11

  round numbers to the nearest hundred thousand.

  Number and Algebra

• MATH-G4-Q1-12

  estimate the sum and difference of two 5- to 6-digit numbers by rounding the addends to the nearest large place value of the numbers.

  Number and Algebra

• MATH-G4-Q1-13

  add numbers with sums up to 1 000 000 and subtracts numbers where both numbers are less than 1 000 000, with and without regrouping.

  Number and Algebra

Content standard

1. multiplication of whole numbers with products-up to 1 000 000, division of up to 4-digit numbers by up to 2-digit numbers, and the MDAS rules. 2. conversion of units of length, mass, capacity, and time. 3. addition and subtraction of similar fractions, including mixed numbers.

Performance standard

perform multiplication of whole numbers with products up to 1 000 000. perform division of up to 4-digit numbers by up to 2-digit numbers. perform different operations by applying the MDAS rules. convert units of length, mass, capacity, and time. perform addition and subtraction of similar fractions, including mixed numbers.

Learning competencies (14)

• MATH-G4-Q2-01

  multiply two numbers with and without regrouping:

  • a. 3- to 4-digit numbers by a 1-digit number, and
  • b. 2- to 3-digit numbers by 2-digit numbers, with products up to 1 000 000.

  Number and Algebra

• MATH-G4-Q2-02

  estimate the result of multiplying two numbers where the product is less than 1 000 000.

  Number and Algebra

• MATH-G4-Q2-03

  solve multi-step problems involving one or more of the four operations with results of calculations up to 1 000 000, including problems involving money.

  Number and Algebra

• MATH-G4-Q2-04

  divide two numbers with and without regrouping

  • a. 3- to 4-digit numbers by 1-digit numbers
  • b. 2- to 3-digit numbers by 2-digit numbers

  Number and Algebra

• MATH-G4-Q2-05

  estimate the quotient when dividing 3- to 4-digit dividends by 1- to 2-digit divisors, by first estimating the dividends and divisors using multiples of 10.

  Number and Algebra

• MATH-G4-Q2-06

  represent situations involving one or more of the four operations using a number sentence.

  Number and Algebra

• MATH-G4-Q2-07

  perform two or more different operations by applying the MDAS rules.

  Number and Algebra

• MATH-G4-Q2-08

  convert common units of measure from larger to smaller units, and vice versa:

  • a. meter and centimeter,
  • b. kilometer and meter,
  • c. kilogram and gram,
  • d. gram and milligram, and
  • e. liter and milliliter.

  Measurement and Geometry

• MATH-G4-Q2-09

  convert time measures from smaller to larger units, and vice versa:

  • a. seconds to minutes,
  • b. minutes to hours,
  • c. hours to days,
  • d. days to weeks
  • e. weeks to months, and
  • f. months to years.

  Measurement and Geometry

• MATH-G4-Q2-10

  solve problems involving conversion of units of length, mass, capacity, and time, including problems involving elapsed time in hours and minutes.

  Measurement and Geometry

• MATH-G4-Q2-11

  identify proper fractions, improper fractions, and mixed numbers.

  Number and Algebra

• MATH-G4-Q2-12

  rewrite improper fractions into mixed numbers, and vice versa.

  Number and Algebra

• MATH-G4-Q2-13

  plot fraction (proper fractions, improper fractions, and mixed numbers) with denominators 2, 4, 5, and 10 on the number line.

  Number and Algebra

• MATH-G4-Q2-14

  add and subtract similar fractions:

  • a. two proper fractions,
  • b. two mixed numbers,
  • c. a mixed number and a proper fraction,
  • d. a whole number and a proper fraction, and
  • e. a whole number and a mixed number.

  Number and Algebra

Content standard

1. dissimilar and equivalent fractions. 2. factors and multiples of numbers up to 100. 3. addition and subtraction of dissimilar fractions. 4. symmetric figures with respect to a line 5. resulting images after applying reflection with respect to a line.

Performance standard

represent, compare, and order dissimilar fractions. find factors and multiples of numbers up to 100. identify symmetry with respect to a line, and create figures that have line symmetry. perform reflection with respect to a line, including glide reflection, to obtain images of shapes.

Learning competencies (14)

• MATH-G4-Q3-01

  represent dissimilar fractions, with denominators up to 10, using models.

  Number and Algebra

• MATH-G4-Q3-02

  compare dissimilar fractions using the symbols =, >, and <.

  Number and Algebra

• MATH-G4-Q3-03

  order dissimilar fractions from smallest to largest, and vice versa.

  Number and Algebra

• MATH-G4-Q3-04

  generate equivalent fractions using models.

  Number and Algebra

• MATH-G4-Q3-05

  determine equivalent fractions.

  Number and Algebra

• MATH-G4-Q3-06

  identify the multiples of given numbers up to 100.

  Number and Algebra

• MATH-G4-Q3-07

  find all the factors of a given number up to 100.

  Number and Algebra

• MATH-G4-Q3-08

  reduce fractions to simplest form.

  Number and Algebra

• MATH-G4-Q3-09

  add and subtract dissimilar fractions using models.

  Number and Algebra

• MATH-G4-Q3-10

  add and subtract dissimilar fractions:

  • a. two proper fractions,
  • b. two mixed numbers,
  • c. a mixed number and a proper fraction,
  • d. a whole number and a proper fraction, and
  • e. a whole number and a mixed number.

  Number and Algebra

• MATH-G4-Q3-11

  solve multi-step problems involving addition and/or subtraction of fractions.

  Number and Algebra

• MATH-G4-Q3-12

  identify symmetry with respect to a line.

  Measurement and Geometry

• MATH-G4-Q3-13

  complete a figure that is symmetric with respect to a line.

  Measurement and Geometry

• MATH-G4-Q3-14

  draws the image of an object after applying reflection with respect to a line, including glide reflection.

  Measurement and Geometry

Content standard

1. presentation and interpretation of data in tabular form and in a single line graph. 2. simple patterns. 3. number sentences. 4. decimal numbers and their relationship to fractions.

Performance standard

present and interpret data in tabular form and in a single line graph. generate a simple pattern and describe the rule used. complete number sentences to represent number properties and number facts. represent, compare, order, and round decimal numbers. convert decimal numbers to fractions and fractions (with denominators 10 or 100) to decimals.

Learning competencies (13)

• MATH-G4-Q4-01

  collect data with time element using appropriate sources.

  Data and Probability

• MATH-G4-Q4-02

  present data in a tabular form, or in a single line graph.

  Data and Probability

• MATH-G4-Q4-03

  interpret data presented in a tabular form, or in a single line graph.

  Data and Probability

• MATH-G4-Q4-04

  solve problems using data for at most two variables in a tabular form, or in a single line graph.

  Data and Probability

• MATH-G4-Q4-05

  describe the rule used to generate a given simple pattern.

  Number and Algebra

• MATH-G4-Q4-06

  complete a number sentence:

  • a. to represent a property of operations (e.g., 4 + 3 = 3 + __) (commutative property of addition)
  • b. to represent equivalent number facts (e.g., 4 + __ = 6 + 3)

  Number and Algebra

• MATH-G4-Q4-07

  represent decimal numbers using models and manipulatives to show the relationship to fractions.

  Number and Algebra

• MATH-G4-Q4-08

  read and write decimal numbers with decimal parts to hundredths.

  Number and Algebra

• MATH-G4-Q4-09

  determine

  • a. the place value to hundredths of a digit in a given decimal number,
  • b. the value of a digit, and
  • c. the digit of number, given its place value.

  Number and Algebra

• MATH-G4-Q4-10

  convert decimal numbers to fractions, and fractions with denominators 10 or 100 to decimals.

  Number and Algebra

• MATH-G4-Q4-11

  plot decimal numbers with tenth decimal part on the number line.

  Number and Algebra

• MATH-G4-Q4-12

  compare and order decimal numbers with decimal parts to hundredths.

  Number and Algebra

• MATH-G4-Q4-13

  round decimal numbers to the nearest whole number and to the nearest tenth.

  Number and Algebra