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The Basic Education Core Curriculum
B.E. 2551 (A.D. 2008)
Mathematics
The Institute for the Promotion of Teaching Science and Technology IPST
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The Mathematics Learning Area
Why study mathematics?
Mathematics plays an important role in the development of the human mind. It inspires
creativity; implants logical and systematic thinking; enables one to make sound and precise
analyses of various situations, all of which in turn leads to accurate predictions, appropriate
planning, optimal problem-solving and decision-making in daily life. Mathematics also serves as a
tool for learning science, technology and other disciplines. Therefore, it can be said that
mathematics proves useful in everyday life; not only does it help improve the quality of life but it
also enables people to live in harmony with others.
What is to be learned in mathematics?
The Mathematics Learning Area aims to have all students continuously learning mathematics in
accordance with their full potential. The following are critical components of a mathematics
program:
o Number and Operations: number concepts and number sense, real number system,
properties of real numbers, number operations, ratio, percentage, problem-solving
involving number and application of numbers in real life
o Measurement: length, distance, weight, area, volume and capacity, money, time,
measurement units, estimation in measurement, trigonometric ratio, problem-solving in
measurement and application of measurement
o Geometry: geometric figures and properties of one-dimensional, two-dimensional and
three-dimensional geometrics figures, visualization, geometric models, theorem of
geometry, geometric transformation (translation, reflection and rotation)
o Algebra: patterns, relations, functions, sets and operations, reasoning, expression,
equation, systems of equations, inequality, graphs, arithmetic sequences, geometric
sequences, arithmetic series, and geometric series
o Data Analysis and Probability: selecting issues, questions and method of study, data
collection, organizing data, presentation of data, measures of central tendency and data
distribution, analyzing and interpreting data, polls, probability, application of statistics
and probability in giving an account of events and assisting in decision-making
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o Mathematical skills/processes: solving problems using various methods, reasoning,
communication and presentation in mathematics, connecting mathematical ideas to
other concepts in mathematics and to other disciplines
Learning Standards
Strand 1: Numbers and Operations
Students should be able to:
Standard M 1.1: Understand various ways numbers are represented and used in the real world.
Standard M 1.2: Understand the effects of operations on numbers and the relationships among
the operations, and use the number operations in solving problem.
Standard M 1.3: Use estimation in computation and problem-solving.
Standard M 1.4: Understand number systems and apply the properties of numbers.
Strand 2: Measurement
Students should be able to:
Standard M 2.1: Understand measurement concepts; measure and estimate quantities.
Standard M 2.2: Solve measurement problems.
Strand 3: Geometry
Students should be able to:
Standard M 3.1: Describe and analyze characteristics and properties of two- and three-
dimensional geometric figures.
Standard M 3.2: Use visualization, spatial reasoning, and geometric models in solving problems.
Strand 4: Algebra
Students should be able to:
Standard M 4.1: Understand and analyze patterns, relations, and functions.
Standard M 4.2: Use expressions, equations, inequalities, graphs, and other mathematical models
to represent situations; interpret and apply them to solve problems.
Strand 5: Data Analysis and Probability
Students should be able to:
Standard M 5.1: Understand and use statistical methods to analyze data.
Standard M 5.2: Use statistical methods and probability to make reasonable predictions.
Standard M 5.3: Use statistics and probability concepts in making decisions and solving problems.
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Strand 6: Mathematical Skills and Processes
Students should be able to:
Standard M 6.1: Solve problems, use reasoning; use mathematical language in communication
and representation, connect mathematical ideas to other mathematical concepts
and to other disciplines, think creatively.
Quality of learners:
Grade 3
After the completion of Grade Three, students should be able to:
o Understand numbers (whole numbers up to 100,000) and operations; develop number sense;
solve problems involving addition, subtraction, multiplication and division; judge the
reasonableness of answers.
o Understand the concepts of length, distance, weight, volume, capacity, time and money; Use
appropriate measurement methods and apply measurement concepts to solve problems.
o Recognize, identify and draw triangles, quadrilaterals, circles and ellipses; recognize and
identify cuboids, spheres, cylinders, points, line segments, rays, lines and angles.
o Complete patterns and describe the relationship in patterns.
o Collect and sort data about oneself and familiar surroundings; read and discuss data from
picture graphs, bar charts.
o Use various methods to solve problems; apply mathematical ideas, skills and processes to solve
problems in various situations; give reasons for decisions and make reasonable conclusions; use
mathematical language and symbols in communication and representation; connect
mathematical ideas to other mathematical concepts and to other disciplines; think creatively.
Grade 6
After the completion of Grade Six, students should be able to:
o Understand numbers (whole numbers, fractions, decimals up to 3 decimal places, percentage)
and operations; develop number sense; understand properties of numbers; solve problems
involving addition, subtraction, multiplication and division of whole numbers, fractions,
decimals up to 3 decimal places, percentage and judge the reasonableness of answers; give
estimation of whole numbers and decimals up to 3 decimal places.
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o Understand the concepts of length, distance, weight, area, volume, capacity, time, money,
direction, map and the size of angles; use appropriate measurement methods and apply
measurement concepts to solve problems.
o Describe characteristics and properties of triangles, quadrilaterals, circle, cuboid, cylinder,
cone, prism, pyramid, angles and parallel lines.
o Complete patterns and describe the relationships in patterns; solve problems involving patterns;
analyze situations or problems; use linear equations with one unknown to represent
situations/problems and solve the equations.
o Collect data; discuss data from picture graphs, bar charts, comparative bar charts, pie charts,
line graphs and tables; use picture graphs, bar charts, comparative bar charts and line graphs to
represent data; apply basic concepts of probability to estimate the possibility of events.
o Use various methods to solve problems; apply mathematical ideas, skills and concepts as well
as technology to solve problems; give reasons for decisions and make reasonable conclusions;
use mathematical language and symbols in communication and representation; connect
mathematical ideas to other mathematical concepts and to other disciplines; think creatively.
Grade 9
After the completion of Grade Nine, students should be able to:
o Understand real numbers, ratios, proportions, percentage, and exponentiation with integer
exponent; square roots and cube roots of real numbers; use estimation in number operations and
problem-solving; apply number concepts in everyday life.
o Find the surface area of prisms, cylinders and the volume of prisms, cylinders, pyramids, cones
and spheres; use appropriate measurement methods and units for determining length, area and
volume; apply measurement concepts in everyday life.
o Construct two-dimensional geometric figures using a compass and a straightedge and describe
the construction method; describe characteristics and properties of three-dimensional geometric
figures (prisms, pyramids, cylinders, cones and sphere).
o Understand the properties of congruent triangles and similar triangles, parallel lines, Pythagoras
theorem and its reverse; Use the aforementioned properties in reasoning and problem-solving;
understand and apply geometric transformations (translation, reflection, rotation).
o Visualize and describe two- and three-dimensional geometric shapes.
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o Analyze and describe patterns, the relationships in patterns; analyze mathematical situations/
problems; use one-variable equations, systems of two-variable linear equations, one-variable
linear inequalities and graphs to solve problems.
o Select issues, pose questions, design studies; collect data and select appropriate data
representations.
o Understand measures of central tendency (mean, median and mode) for ungrouped data and
select the appropriate measures; apply the concepts to evaluate statistical information.
o Understand random experiments, events and probability of events; use probability to predict the
likelihood of events and apply the concepts in decision-making.
o Use various methods to solve problems; apply mathematical ideas, skills and processes as well
as technology to solve problems in different contexts; give reasons for decisions and make
reasonable conclusions; precisely use mathematical language and symbols in communication
and representation; connect mathematical ideas to other mathematical concepts and to other
disciplines; think creatively.
Grade 12
After the completion of Grade Twelve, students should be able to:
o Understand real number system, absolute value of a real number, a real number expressed in
radical form and exponentiation with a rational exponent; use appropriate computation to
estimate the value of a real number written in radical expression and exponentiation; apply the
properties of real numbers to solve problems.
o Apply trigonometric ratios to estimate distance and height; solve measurement problems.
o Understand the concepts of sets and operations; apply the Venn-Euler diagram to solve
problems and justify reasoning.
o Understand and apply inductive reasoning and deductive reasoning.
o Understand the concepts of relations and functions; use relations and functions to solve
problems.
o Understand arithmetic sequences, geometric sequences and find the general terms; understand
the sum of the first n terms of arithmetic series, geometric series; use formulae to find the sum
of the first n terms of arithmetic series and the sum of the first n terms of geometric series;
apply the concepts to solve problems.
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o Understand how to solve one-variable equations and inequalities (of up to two degrees); use
graphs of equations, inequalities and functions to solve problems.
o Understand simple polling methods; select appropriate measures of central tendency in accord
with data and purpose; find mean, median, mode, standard deviation and percentile; analyze
data and apply data analysis to decision-making.
o Understand random experiments, events and probability of events; apply probability concepts in
predicting the outcomes of events, making decisions and solving problems.
o Use various methods to solve problems; apply mathematical ideas, skills and processes as well
as technology to solve problems in different contexts; give reasons for decisions and make
reasonable conclusions; precisely use mathematical language and symbols in communication
and representation; connect mathematical ideas to other mathematical concepts and connect
mathematical ideas, principle and processes to other disciplines; think creatively.
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Indicators and Core Content
Strand 1: Numbers and Operations
Students should be able to:
Standard M 1.1: understand various ways numbers are represented and used in the real world.
Grade Indicators Core Content
1 1. Read and write whole numbers up to
100 in Hindu-Arabic numerals and
Thai numerals to represent
quantities.
• Counting to tell the number of objects
• Writing Hindu-Arabic numerals and Thai
numerals
• Reading numbers represented in Hindu-
Arabic numerals and Thai numerals
• Counting forward by 1s and 2s
• Counting backward by 1s
2. Compare and order whole numbers
up to 100.
• Place value and the value of each digit in
a number
• Using expanded forms to represent numbers
• Comparing numbers by the using the
symbols =, ≠, > and <
• Ordering whole numbers up to five numbers
2 1. Read and write whole numbers up to
1,000 in Hindu-Arabic numerals,
Thai numerals and in words to
represent quantities.
• Writing numbers in Hindu-Arabic
numerals, Thai numerals and in words
• Reading numbers represented in Hindu-
Arabic numerals and Thai numerals
• Counting forward by 5s, 10s and 100s
• Counting backward by 2s, 10s and 100s
• Even and odd numbers
2. Compare and order whole number
up to 1,000
• Place value, the value of each digit in a
number and the use of 0 as a place holder
• Using expanded forms to represent
numbers
• Comparing numbers by the using the
symbols =, ≠, > and <
• Ordering whole numbers up to five numbers
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Grade Indicators Core Content
3 1. Read and write whole numbers up to
100,000 in Hindu-Arabic numerals,
Thai numerals and in words to
represent quantities.
• Writing numbers in Hindu-Arabic
numerals, Thai numerals and in words.
• Reading numbers represented in Hindu-
Arabic numerals and Thai numerals
• Counting forward by 3s, 4s, 25s and 50s
• Counting backward by 3s, 4s, 5s, 25s and
50s
2. Compare and order whole numbers
up to 100,000.
• Place value, the value of each digit in a
number and the use of 0 as a place holder
• Using expanded form to represent
numbers
• Comparing numbers by using the symbols
=, ≠, > and <
• Ordering whole numbers up to five
numbers
4 1. Read and write whole numbers in
Hindu – Arabic numerals, Thai
numerals and in words; read and
write fractions and decimals (one
decimal place).
• Reading and Writing numbers in Hindu-
Arabic numerals, Thai numerals and in
words
• Interpretation of fractions; reading and
writing fractions
• Interpretation of decimals; reading and
writing decimals
2. Compare and order whole numbers,
fractions and decimals with one
decimal place.
• Place value, value of each digit in a
number and using 0 as a place holder
• Using expanded form to represent
numbers
• Comparing and ordering whole numbers
• Comparing and ordering like fractions
• Comparing and ordering decimals with
one decimal place
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Grade Indicators Core Content
5 1. Read and write fractions, mixed
numbers and decimals (up to 2
decimal places).
• Identifying, reading and writing proper
fractions, improper fractions, mixed
numbers and decimals (up to 2 decimal
places)
• Fraction and a whole number equivalent
of a fraction
• Conversion of a whole number to a
fraction
• Conversion of an improper fraction to a
mixed number and vice versa
• Equivalent fractions
• Simplest form of a fraction
2. Compare and order fractions and
decimals (up to 2 decimal places).
• Place value, the value of each digit in a
whole number and a decimal (up to 2
decimals places)
• Using expanded forms to represent
decimals
• Comparing and ordering decimals (up to
2 decimal places)
• Comparing and ordering related fractions
3. Express a fraction as a decimal and a
percentage; express a percentage as
a fraction and a decimal ; express a
decimal as a fraction and a
percentage.
• Interpretation of percentages; reading and
writing percentages
• Conversion of a fraction whose
denominator is a multiple of 10 or 100 to
a decimal and to a percentage
• Writing percentages as fractions and
decimals
• Writing decimals (up to 2 decimal places) as
fractions and percentages
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Grade Indicators Core Content
6 1. Read and write decimals (up to 3
decimal places).
• Interpretation of decimals (up to 3
decimal places); reading and writing
decimals
2. Compare and order fractions and
decimals (up to 3 decimal places).
• Place value, the value of each digit in a
whole number and a decimal (3 decimal
places)
• Using expanded forms to represent decimals
• Comparing and ordering decimals (up to
3 decimal places)
• Comparing and ordering fractions
3. Express a decimal as a fraction and
express a fraction as a decimal.
• Writing decimals up to 3 decimal places
as fractions
• Writing fractions whose denominators are
multiples of 10, 100, 1,000 as decimals
7 1. Identify, give examples and compare
positive integers, negative integers,
zero, fractions and decimals
• Positive integers, negative integers, zero,
fractions and decimals
• Comparing integers, fractions and decimals
2. Understand the concepts of
exponentiation with integer
exponent and express numbers using
scientific notation.
• Exponentiation with integer exponent
• Expressing number by using scientific
notation (A × 10n where 1 A < 10 and n
is an integer)
≤
8 1. Express a fraction as a decimal and
express a repeating decimal as a
fraction.
• Fractions and repeating decimals
2. Identify real numbers and give
examples of rational and irrational
numbers.
• Rational and irrational numbers
3. Describe and identify square roots
and a cube root of a real number.
• Square root and cube root of a real
number
4. Apply the concepts of ratio,
proportion and percentage to solve
problem
• Ratio, proportion, percentage and their
application
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Grade Indicators Core Content
9 − −
10-12 1. Express the relationships of numbers
in the real numbers system.
• Real numbers
2. Understand the concepts of absolute
value of a real number.
• Absolute value of a real number
3. Understand the concepts of real
numbers written in exponentiation
with rational exponent and real
numbers written in radical
expression.
• Real numbers written in exponentiation
with rational indices and real numbers
written in radical expressions
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Strand 1: Numbers and Operations
Students should be able to:
Standard M 1.2: understand the effects of operations on numbers and the relationships among
the operations, and use the number operations in solving problem.
Grade Indicators Core Content
1 1. Add and subtract whole numbers up
to 100; find the answers to 2-step
calculation involving addition and
subtraction; judge the reasonableness
of answers.
• Meaning of addition and use of the
addition symbol +
• Addition without renaming
• Meaning of subtraction and use of the
subtraction symbol –
• Subtraction without renaming
• 2-step calculation involving addition and
subtraction
2. Analyze and solve up to 2-step word
problems involving addition and
subtraction of whole numbers up to
100; judge the reasonableness of
answers.
• Word problems involving addition and
subtraction
• 2-step word problems involving addition
and subtraction
• Creating word problems involving
addition and subtraction
2 1. Add, subtract, multiply and divide
whole numbers up to 1,000; find the
answers to 2-step calculation
involving addition, subtraction,
multiplication and division; judge
the reasonableness of answers.
• Addition and subtraction
• Meaning of multiplication and use of the
multiplication symbol ×
• Multiplication of 1-digit number and up
to 2-digit number
• Meaning of division and use of the
division symbol ÷
• Subtraction without renaming.
• 2-step calculation involving addition,
subtraction, multiplication and division
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Grade Indicators Core Content
2
(cont.)
2. Analyze and solve up to 2-step word
problems involving addition,
subtraction, multiplication and
division of whole numbers up to
1,000; judge the reasonableness of
answers.
• Word problems involving addition,
subtraction, multiplication and division
• 2-step word problems involving addition,
subtraction, multiplication and division
• Creating word problems involving
addition, subtraction, multiplication and
division
3 1. Add, subtract, multiply and divide
whole numbers up to 100,000 ; find
the answers to up to 3-step
calculation involving addition,
subtraction, multiplication and
division; judge the reasonableness of
answers.
• Addition and subtraction
• Multiplication of 1-digit number and up
to 4-digit number
• Multiplication of 2-digit number and 2-
digit number
• Division of up to 4-digit number by a 1-
digit divisor
• Up to 3-step calculation involving
addition, subtraction, multiplication and
division
2. Analyze and solve up to 3-step word
problems involving addition,
subtraction, multiplication and
division of whole numbers up to
100,000 and judge the
reasonableness of answers
• Word problems involving addition
• Word problems involving subtraction
• Word problems involving multiplication
• Word problems involving division
• Up to 3-Step word problems involving
addition, subtraction, multiplication and
division
• Creating word problems involving
addition, subtraction, multiplication and
division word problems
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Grade Indicators Core Content
4 1. Add, subtract, multiply and divide
whole numbers; find the answers to
multi-step calculation involving
addition, subtraction, multiplication
and division; judge the
reasonableness of answers.
• Addition and subtraction
• Multiplication of a 1-digit number and a
more than 4-digit number
• Multiplication of a more than 1-digit
number and a more than 2-digit number
• Division of whole numbers with up to 3-
digit divisor
• Multi-step calculation involving addition,
subtraction, multiplication and division
• Average
2. Analyze and solve multi-step word
problems involving addition,
subtraction, multiplication and
division of whole numbers; judge
the reasonableness of answers and
create word problems.
• Word problems involving addition and
subtraction
• Word problems involving multiplication
of a 1-digit number and a more than 4-
digit number
• Word problems involving multiplication
of a more than 1-digit number and a more
than 2-digit number
• Word problems involving division of
whole numbers with up to 3-digit divisor
• Word problems involving addition,
subtraction, multiplication and division
• Creating word problems involving
addition, subtraction, multiplication and
division
3. Add and Subtract like fractions. • Addition and subtraction of like fractions
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Grade Indicators Core Content
5 1. Add, subtract, multiply and divide
fractions; find the answers to multi-
step calculation involving addition,
subtraction, multiplication and
division; judge the reasonableness of
answers.
• Addition and subtraction of related
fractions
• Multiplication of a fraction and a whole
number
• Multiplication of fractions
• Division of a fraction by a whole number
• Division of a fraction by a fraction
• Multi-step calculation involving addition,
subtraction and multiplication of fractions
2. Add, subtract, multiply and divide
decimals whose quotients are up to 2
decimal places; find the answers to
multi-step calculation involving
addition, subtraction, multiplication
and division; judge the
reasonableness of answers.
• Addition and subtraction of up to 2-digit
decimals
• Multiplication of an up to decimal (2
decimal places) and a whole number
• Multiplication of a 1-digit decimal and
a 1-digit decimal
• Multi-step calculation involving addition,
subtraction and multiplication of decimals
3. Analyze and solve multi-step word
problems involving addition,
subtraction, multiplication and
division of whole numbers,
fractions, decimals and percentage;
judge the reasonableness of answers
and create word problem involving
addition, subtraction, multiplication
and division of whole numbers.
• 1-Step and multi-step word problems
involving addition, subtraction,
multiplication and division of whole
numbers
• Word problems involving unitary method
• Creating 1-Step and multi-step word
problems involving addition, subtraction,
multiplication and division of whole
numbers
• Word problems involving addition,
subtraction, multiplication and division of
fractions
• Multi-step word problems involving
addition subtraction and multiplication of
fractions
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Grade Indicators Core Content
• Solving and creating word problems
involving addition, subtraction and
multiplication of decimals
• Percentage word problems in various
contexts including profit, loss, discount
and sell price
6 1. Add, subtract, multiply and divide
fractions, mixed numbers and
decimals; find the answers to multi-
step calculation involving addition,
subtraction, multiplication and
division and judge the
reasonableness of answers.
• Addition, subtraction, multiplication and
division of fractions
• Addition, subtraction, multiplication and
division of mixed numbers
• Multi-step calculation involving addition,
subtraction, multiplication and division of
fractions and mixed numbers
• Addition, subtraction, multiplication and
division of decimals whose answers are
up to 3 decimal places
• Multi-step calculation involving addition,
subtraction, multiplication and division of
decimals whose answers are up to 3
decimal places
2. Analyze and solve multi-step word
problems involving addition,
subtraction, multiplication and
division of whole numbers,
fractions, mixed numbers, decimals
and percentage; judge the
reasonableness of answers and
create word problem involving
addition, subtraction, multiplication
and division of whole numbers.
• 1-step and multi-step word problems
involving addition, subtraction,
multiplication and division of whole
numbers
• Creating 1-step and multi-step word
problems involving addition, subtraction,
multiplication and division of whole
numbers
• 1-step and multi-step word problems
involving addition, subtraction,
multiplication and division of fractions
• 1-step and multi-step word problems
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Grade Indicators Core Content
involving addition, subtraction,
multiplication and division of decimals
• creating 1-step and multi-step word
problems involving multiplication and
division of decimals
• Percentage word problems in various
contexts including profit, loss, discount,
sell price, product cost and interest
7 1. Add, subtract, multiply and divide
integers; apply the concepts to solve
problem; judge the reasonableness
of answers ; describe the effects of
adding, subtracting, multiplying, and
dividing integers ; identify the
relationship between addition and
subtraction, multiplication and
division of integers.
• Addition, subtraction, multiplication and
division of integers
• Word problems involving integers
2. Add, subtract, multiply and divide
fractions and integers as well as apply
the concepts to solve problem; judge
the reasonableness of answers; describe
the effects of adding, subtracting,
multiplying, and dividing integers;
identify the relationship between
addition and subtraction, multiplication
and division of fractions and decimals.
• Addition, subtraction, multiplication and
division of fractions and decimals
• Word problems involving fractions and
decimals
3. Describe the effects of
exponentiation operations with
integers, fractions and decimals
• Exponentiation with integer exponent
4. Multiply and divide two quantities
with exponents where they have the
same base and integer exponents.
• Multiplication and division of quantities
with exponents where they have the same
base and integer exponents
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Grade Indicators Core Content
8 1. Find square roots and cube roots of
integers by factorization and apply
to solve problem; judge the
reasonableness of answers.
• Finding square roots and cube roots of
integers by factorization and its
application
2. Describe the effects of computing
square roots and cube roots of
integers, fractions, decimals;
describe the relationship between
exponentiation and the nth roots of
real number.
• Square roots and cube roots of real
numbers
9 − −
10-12 1. Understand the meaning and find the
result of addition, subtraction,
multiplication and division of real
numbers, real numbers written in
exponentiation with rational
exponents and real numbers written
in radical expressions.
• Addition, subtraction, multiplication and
division of real numbers
• Addition, subtraction, multiplication and
division of real numbers written in
exponentiation with rational exponent and
real numbers written in radical
expressions
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Strand 1: Numbers and Operations
Students should be able to:
Standard M 1.3: use estimation in computation and problem-solving.
Grade Indicators Core Content
1 − −
2 − −
3 − −
4 − −
5 1. Estimate whole numbers to the
nearest ten, hundred and thousand
and apply the concept to solve
problems.
• Estimation of whole numbers to the
nearest ten, hundred and thousand
6 1. Estimate whole numbers to the
nearest ten thousands, hundred
thousands, million and apply the
concept to solve problems.
• Estimation of whole numbers to the
nearest ten thousands, hundred thousands
and million
2. Estimate decimals up to 3 decimal
places.
• Estimation of decimals to 1 decimals and
2 decimals places
7 1. Appropriately use estimation in
various situations including judging
the reasonableness of results from
numeral computation.
• Estimation and its application
8 1. Estimate square roots and cube roots
of real numbers and apply the
concept to solve problems; judge the
reasonableness of answers.
• Square roots and cube roots of real
numbers and their application
9 − −
10-12 1. Estimate the value of real numbers
written in radical expression and
exponentiation by using appropriate
computation.
• Estimation of real numbers written in
radical expression and exponentiation
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Strand 1: Numbers and Operations
Students should be able to:
Standard M 1.4: understand number systems and apply the properties of numbers.
Grade Indicators Core Content
1 − −
2 − −
3 − −
4 − −
5 − −
6 1. Use commutative, associative and
distributive properties in calculation.
• Addition and multiplication
• Multi-step calculation involving addition,
subtraction, multiplication and division
2. Find the highest common factor
(H.C.F) and the lowest common
multiple (L.C.M.) of whole
numbers.
• Factors, prime numbers and prime factors
• Finding highest common factors
• Finding lowest common multiples
7 1. Apply concepts and properties of
integers to solve problems.
• Highest common factors and lowest
common multiples of whole numbers and
their application
• Application of concepts and properties of
integers
8 2. Identify the relationships among
real, rational and irrational numbers
• Rational and irrational numbers
9 − −
10 - 12 1. Understand real numbers addition
and multiplication properties,
equalities, inequalities and apply the
concept to solve problems.
• Properties of real numbers and their
applications
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Strand 2: Measurement
Students should be able to:
Standard M 2.1: understand measurement concepts, measure and estimate quantities.
Grade Indicators Core Content
1 1. Measure length, weight, volume and
capacity in non-standard units.
• Comparing lengths (taller, shorter, longer,
equal length, equal height)
• Measurement of length in non-standard units
• Comparing weights (heavier, lighter, equal
weight)
• Measurement of weight in non-standard
units
• Comparing volumes/capacities (greater
volume, smaller volume, equal volume,
greater capacity, smaller capacity, equal
capacity)
• Measurement of volume/capacity in non-
standard units
2. Tell time of the day, the number of
days in a week and the name of days
in a week.
• Time of the day (day, night, morning, late
morning, noon, afternoon, evening)
• Number and the names of days in a week
2 1. Measure length in meter and
centimeter and compare lengths
within the same unit.
• Measurement of length (meter, centimeter)
• Comparing lengths (same unit)
2. Measure weight in kilogram and
kheed* and compare weights within
the same unit.
• Measurement of weight (kilogram, kheed)
• Comparing weights (same unit)
3. Measure volume/capacity in liter
and compare volumes/capacities.
• Finding volume/capacity (liter)
• Comparing volume/capacity (liter)
2 4. Tell the amount of money from the • Denomination of coins and notes
* Thai customary unit 10 kheeds = 1 kilogram
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Grade Indicators Core Content
(cont.) given set of notes and coins. • Comparing the denomination of coins and
notes
• Telling the amount of money (baht,
satang**.)
5. Tell time from the clock face (to 5
minutes).
• Telling time from the clock face (to 5
minutes)
6. Tell day, month and year from a
calendar.
• Calendar reading and the months in a year
3 1. Measure length in meter, centimeter
and millimeter; select appropriate
measurement tools and compare
lengths.
• Measurement of length (meter, centimeter,
millimeter)
• Selecting appropriate measurement tools
(meter stick, ruler, body tape measure, tape
measure)
• Comparing lengths
• Estimation of length (meter, centimeter)
2. Measure weight in kilogram, gram
and kheed; select appropriate
measurement tools and compare
weights.
• Measurement of weight (kilogram, gram,
kheed)
• Selecting appropriate measurement tools
(spring scales, bathroom scales, balance
scales and field scales)
• Comparing weights
• Estimation of weight (kilogram)
3. Measure volume/capacity in liter,
milliliter; select appropriate
measurement tools and compare
volumes/capacities within the same
unit
• Finding volume/capacity (liter, milliliter)
• Selecting appropriate measurement tool
(tang***, liter, measuring spoons, measuring
cups, graduated cylinder, fuel jug)
• Comparing volumes/capacities (liter)
** In Thai currency 100 satang = 1 baht *** Thai customary unit 1 tang = 20 liters
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Grade Indicators Core Content
3
(cont.)
4. Tell time from the clock face (to 5
minutes); read and write time.
• Telling time from the clock face (to 5
minutes)
• Reading and writing time
5. Describe the relationships among
length units, weight units and time
units.
• The relationships among length units
(millimeter and centimeter; centimeter and
meter)
• The relationships among weight units
(kilogram and kheed, kheed and gram,
kilogram and gram)
• The relationships among time units (minute
and hour; hour and day; day and week; day
and month; month and year; day and year)
6. Read and write the amount of money
using decimal notation.
• Reading and writing the amount of money
using decimal notation
4 1. Describe the relationships among
length units, weight units,
volume/capacity units and time
units.
• The relationships among length units
(centimeter and millimeter; meter and
centimeter; kilometer and meter; waa****
and meter)
• The relationships among weight units (gram
and kilogram; kilogram and metric ton;
kheed and gram)
• The relationships among volume/capacity
units (milliliter and cubic centimeter;
milliliter and liter; cubic centimeter and
liter)
• The relationships among time units (second
and minute; minute and hour; hour and day;
day and week; day and month; week and
year; month and year; day and year)
**** Thai customary unit of length 1 waa = 2 meters
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Grade Indicators Core Content
2. Find the area of a rectangle. • Finding the area in square units and square
centimeters
• Find the area of a rectangle
3. Tell time from the clock face; read
and write time using ‘.’ and find the
duration of a time interval.
• Telling time from the clock face
• Reading and writing time using ‘.’
• Finding the duration of a time interval
4. Estimate length, weight,
volume/capacity
• Estimation of length (meter, centimeter,
waa)
• Estimation of weight (kilogram, kheed)
• Estimation of volume/capacity (liter)
5 1. Describe the relationships among
volume/capacity units.
• The relationships among volume/capacity
units (cubic centimeter, cubic meter)
2. Find the perimeter of quadrilaterals
and triangles.
• Perimeter of a quadrilateral
• Perimeter of a triangle
3. Find the area of a rectangle and a
triangle.
• Finding the area of a rectangle
• Finding the area of a triangle
4. Measure angles. • Measurement of angles using a protractor
• Measurement of reflex angles
5. Finding the volume/capacity of a
cuboid.
• Finding volume/capacity in cubic units,
cubic centimeters and cubic meters
• Use of a formula to find the volume/capacity of
a cuboid
6 1. Describe route or tell a location by
specifying the directions and the
actual distance from diagrams, maps
and plans.
• Directions
• Telling location by specifying directions
• Map scales
• Maps and plans reading
2. Find the area of a quadrilateral. • Finding the area of a quadrilateral by using
the side lengths
• Finding the area of a quadrilateral by using
the diagonal lengths
3. Find the circumference and the area
of a circle.
• Finding the circumference of a circle
• Finding the area of a circle
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Grade Indicators Core Content
7 − −
8 1. Compare length units, area units
within the same system and across
the system; select appropriate
measurement tools.
• Finding length and area and its application
• Selecting measurement tools to find length
and area
2. Give close estimation of time,
distance, area, and volume/capacity
and describe strategies for
estimation.
• Estimation of time, distance, area, volume,
weight and theirs application
3. Appropriately use estimation in
measurement in various contexts.
9 1. Find the surface area of prisms and
cylinders.
• Surface area of prisms and cylinders
2. Find the volume of prisms,
cylinders, pyramids, cones and
spheres.
• Volume of prisms, cylinders, pyramids,
cones and spheres
3. Compare volume/capacity units
within the same system or across the
systems.
• Comparing volume/capacity units within the
same system or across the systems
4. Appropriate use of estimation in
measurement in different contexts.
• Estimation in measurement
10-12 1. Use trigonometric ratios to estimate
distance and height.
• Trigonometric ratios and its applications
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Strand 2: Measurement
Students should be able to:
Standard M 2.2: solve measurement problems.
Grade Indicators Core Content
1 − −
2 1. Solve measurement problems
involving lengths, weights,
volumes/capacities and money.
• Word problems involving lengths
(addition, subtraction)
• Word problems involving weights
(addition, subtraction)
• Word problems involving
volumes/capacities (addition, subtraction,
multiplication, division)
• Word problems involving money
(addition, subtraction, in baht only)
3 1. Solve measurement problems
involving lengths, weights,
volumes/capacities and money.
• Word problems involving lengths
(addition, subtraction)
• Word problems involving weights
(addition, subtraction)
• Word problems involving
volumes/capacities (addition, subtraction)
• Word problems involving money
(addition, subtraction)
• Word problems involving time
2. Read and write simple home
accounts.
• Reading and writing simple home
accounts
3. Read and write records of activities
with time specified.
• Reading and writing records of activities
with time specified
4 1. Solve measurement problems
involving lengths, weights,
volumes/capacities and money.
• Word problems involving lengths
• Word problems involving weights
• Word problems involving volume/capacity
• Word problems involving money
• Word problems involving time
2. Write simple home accounts. • Writing simple home accounts
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Grade Indicators Core Content
3. Read and write records of activities
with time specified.
• Reading and writing records of activities
with time specified
• Timetable reading
5 1. Solve problems involving the area
and the perimeter of a rectangle and
a triangle.
• Word problems involving the area of a
rectangle and a triangle
• Word problems involving the perimeter of
a rectangle and a triangle
6 1. Solve problems involving the area
and the perimeter of a quadrilateral
and a circle.
• Estimating the area of a quadrilateral.
• Word problems involving the perimeter
and the area of a quadrilateral
• Word problems involving the
circumference and the area of a circle
2. Solve problems involving the
volume/capacity of a cuboid.
• Word problems involving the
volume/capacity of a cuboid
3. Draw a map specifying location and
a route map.
• Drawing a map to specify locations
• Drawing a route map
• Drawing a rough map
7 − −
8 1. Apply length and area concepts to
solve problems in various contexts.
• Application of length and area concepts to
solve problems
9 1. Apply area, surface area and volume
concepts to solve problems in
various contexts.
• Application of area, surface area and
volume concepts to solve problems
10-12 1. Solve word problems involving
distance and height by using
trigonometric ratios.
• Word problems involving distances and
heights
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Strand 3: Geometry
Students should be able to:
Standard M 3.1: describe and analyze characteristics and properties of two – and three –
dimensional geometric figures.
Grade Indicators Core Content
1 1. Recognize triangles, quadrilaterals,
circles and ellipses.
• Triangles, quadrilaterals, circles and
ellipses
2 1. Identify triangles, quadrilaterals,
circles and ellipses.
• Triangles, quadrilaterals, circles and
ellipses
2. Identify cuboids, spheres and
cylinders.
• Cuboids, spheres and cylinders
3. Distinguish between a rectangle and
a cuboid; a circle and sphere.
• Two- and three-dimensional geometric
shapes
3 1. Identify two-dimensional shapes in
three-dimensional objects.
• Circles, ellipse, triangles, quadrilaterals,
pentagons, hexagons, octagons
2. Identify symmetric figures. • Symmetric figures
3. Specify name of given points, lines,
rays, line segments, and angles; use
notations to represent point, lines,
rays, line segments and angles.
• Points, lines, rays, line segments,
intersections, angles and notations
4 1. Identify the type of angles; specify
name and components of an angle
and use notations to represent
angles.
• Components of an angle
• Angles name and notations
• Type of angles (right angles, acute angles,
obtuse angles)
2. Identify parallel lines/line segments
and use notation to represent parallel
lines.
• Parallel lines and notation
3. Specify the components of a circle. • Components of a circle (centre, radius,
diameter and circumference)
4. Identify rectangles in objects and
distinguish between a square and an
oblong rectangle.
• Rectangles
• Squares and oblong rectangles
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Grade Indicators Core Content
5. Identify symmetric figures and
specify the number of symmetrical
lines.
• Symmetric figures
5 1. Describe and classify three-
dimensional geometric shapes.
• Spheres, cylinders, cones, prisms and
pyramids
2. Describe and classify quadrilaterals;
describe the relationships among
types of quadrilaterals.
• Squares, rectangles, rhombus,
parallelograms, trapeziums, kites
3. Describe and classify triangles;
specify the components of a triangle
and describe the relationships among
types of triangles.
• Classification of triangles according to
sides
• Classification of triangles according to
angles
• Components of a triangle
• Interior angles of a triangle
6 1. Identify two-dimensional geometric
shapes in three-dimensional
geometric shapes.
• Components of three-dimensional
geometric shapes (cuboids, spheres,
cylinders, cones, prisms and pyramids).
2. Describe properties of diagonals of
quadrilaterals.
• Properties of diagonals of quadrilaterals
3. Identify parallel lines. • Identifying parallel lines from the size of
alternate angles
• Identifying parallel lines from two interior
angles on same side of a transversal (the
sum of the angles size is 180 degrees)
7 1. Construct geometric shapes and
describe basic geometric
construction.
• Basic geometric constructions (using a
compass and a straightedge)
1) Constructing a line segment with
the same length as a given line
segment
2) Bisecting a line segment
3) Constructing an angle with the
same side of a given angle
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Grade Indicators Core Content
4) Bisecting an angle
5) Constructing a perpendicular line
from a point to a given line
6) Constructing perpendicular lines
from a point on a given line
2. Construct two-dimensional
geometric figures by basic geometric
construction.
• Constructing two-dimensional geometric
figures by using basic geometric
construction (using a compass and a
straightedge)
3. Investigate, observe and make
conjecture about geometric
properties.
• Geometric properties which require
investigation, observation and conjecture,
for example, the side of the opposite
angles formed by the intersection of two
line segments, the angle formed by the
intersection of diagonals of a quadrilateral
4. Describe three-dimensional shapes
in two-dimensional representations.
• Two-dimensional representations of
three-dimensional shapes
5. Identify front view, side view and
top view images of 3-dimensional
shapes.
• Front view, side view and top view
images of three-dimensional shapes
6. Draw or build three-dimensional
shapes made from cubes given front
view, side view and top view
images.
• Drawing or building three-dimensional
shapes made from cubes given front view,
side view and top view images
8 − −
9 1. Describe characteristics and
properties of prisms, cylinders,
cones and spheres.
• Characteristics and properties of prisms,
pyramids, cylinders, cones and spheres
10-12 − −
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Strand 3: Geometry
Students should be able to:
Standard M 3.2: use visualization, spatial reasoning, and geometric models in solving problems.
Grade Indicators Core Content
1 − −
2 1. Draw two-dimensional geometric
shapes by using templates.
• Drawing triangles, quadrilaterals, circles
and ellipses by using templates
3 1. Draw two-dimensional geometric
shapes from different perspectives.
• Drawing two-dimensional geometric
shapes
2. Identify geometric shapes in
surroundings.
• Two-dimensional geometric shapes
4 1. Use geometric shapes to create
patterns and designs.
• Using geometric shapes to create patterns
and designs
5 1. Draw angles by using a protractor. • Types of angles
2. Draw rectangles, triangles and
circles.
• Drawing a rectangle
• Drawing a triangle
• Drawing a circle
3. Draw parallel lines by using ruler
and set squares.
• Drawing parallel lines through a given
point by using ruler and set squares
6 1. Make cuboids, cones, prisms and
pyramids from nets or two-
dimensional geometric shapes.
• Nets of three-dimensional geometric
shapes (cuboids, spheres, cylinders,
cones, prisms and pyramids)
• Making three-dimensional geometric
shapes
2. Draw quadrilaterals. • Drawing quadrilaterals when given
lengths and angles or when given the
length of diagonals
7 − −
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Grade Indicators Core Content
8 1. Apply the properties of congruent
triangles and the properties of
parallel lines in reasoning and
problem-solving.
• A pair of equal sides and a pair of equal
angles of two congruent triangles
• Conditions for two triangles to be
congruent: side-angle-side; angle-side-
angle; side-side-side and angle-angle-side
• Properties of parallel lines
• Application of the properties of congruent
triangles and the properties of parallel line
in reasoning and problem-solving
2. Apply Pythagorean theorem and the
reverse in reasoning and problem-
solving.
• Pythagorean theorem and the reverse and
their application
3. Understand and apply geometric
transformations (translation,
reflection, rotation).
• Translation, reflection, rotation and their
application
4. Identify the images from translation,
reflection and rotation and describe
the geometric transformation when
given the initial and the result
images.
• Translation, reflection, rotation and their
application
9 1. Apply the properties of similar
triangles in reasoning and problem-
solving.
• Properties of similar triangles and their
application
10-12 − −
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Strand 4: Algebra
Students should be able to:
Standard M 4.1: understand and analyze patterns, relations, and functions.
Grade Indicators Core Content
1 1. Complete number patterns whose
numbers increase by 1s, 2s and
number patterns that decrease by 1s
and describe the relationships in
patterns.
• Number patterns whose numbers increase
by 1s, 2s
• Number patterns whose numbers decrease
by 1s
2. Complete patterns according to one
of the following attributes: shape,
size, color and describe the
relationships in patterns.
• Patterns with one of the following
attributes: shape, size, color
2 1. Complete number patterns whose
numbers increase by 5s, 10s, 100s
and number patterns whose numbers
decrease by 2s, 10s, 100s; describe
the relationships in patterns.
• Number patterns whose number increase
by 5s, 10s, 100s
• Number patterns whose number decrease
by 2s, 10s, 100s
2. Complete patterns according to one
of the following attribute: shape,
size, color and describe the
relationships in patterns.
• Patterns with one of the following
attributes: shape, size, color
3 1. Complete number patterns whose
numbers increase by 3s, 4s, 25s, 50s,
number patterns whose numbers
decrease by 3s, 4s, 5s, 25s, 50s and
repeating number patterns; describe
the relationships in patterns.
• Number patterns whose numbers increase
by 3s, 4s, 25s, 50s
• Number patterns whose numbers decrease
by 3s, 4s, 5s, 25s, 50s
• Repeating number patterns
2. Complete patterns according to two
of the following attributes: shape,
size, color.
• Patterns with two of the following
attributes: shape, size, color
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Grade Indicators Core Content
4 1. Complete number patterns whose
numbers increase or decrease by
equal amount.
• Number patterns whose numbers increase
or decrease by equal amount
2. Complete patterns and describe the
relationships in patterns.
• Patterns with two or more attributes
5 1. Complete number patterns and
describe the relationships in
patterns.
• Number patterns
6 1. Solve problems involving patterns. • Problems involving patterns
7 1. Analyze and describe the
relationships in patterns.
• Relationships in patterns
8 − −
9 − −
10-12 1. Understand the concepts of set and
set operations.
• Sets and set operations
2. Understand and apply inductive and
deductive reasoning.
• Inductive and deductive reasoning
3. Understand the concepts of relations
and functions; express relations and
functions in various forms such as
tables, graphs and equations.
• Relations and functions
• Graphs of relations and functions
4. Understand the meaning of
sequences and find the general term
of a finite sequence.
• Sequence and the general term of a finite
sequence
5. Understand the meaning of
arithmetic sequences; find the
missing terms in arithmetic and
geometric sequences and apply the
concepts.
• Arithmetic and geometric sequences
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Strand 4: Algebra
Students should be able to:
Standard M 4.2: use expressions, equations, inequalities, graphs, or other mathematical models to
represent situations, interpret and apply them to solve problems.
Grade Indicators Core Content
1 − −
2 − −
3 − −
4 − −
5 − −
6 1. Write equations to represent given
situations or problems; solve the
equations and check the answers.
• Linear equations with one unknown
• Solving equations by using addition-,
subtraction-, multiplication- and division-
property of equality
• Solving word problems by using
equations
7 1. Solve simple one-variable linear
equations.
• One-variable linear equations
2. Write linear equations to represent
simple situations or problems.
• Writing linear equations to represent
situations or problems
3. Solve word problems involving
simple one-variable linear equation;
judge the reasonableness of answers.
• Word problems involving one-variable
linear equations
4. Draw graphs on a coordinate plane
to represent the relationship of two
quantities.
• Graphs on a coordinate plane
5. Read and interpret graphs on a
coordinate plane.
8 1. Solve word problems involving one-
variable linear equation; judge the
reasonableness of answers.
• Word problems involving one-variable
linear equations
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Grade Indicators Core Content
8
(cont.)
2. Find the coordinate of a point and
describe the result image of a
geometric shape that has undergone
translation, reflection and rotation in
a coordinate plane.
• Translation, reflection and rotation of a
geometric shape on a coordinate plane
9 1. Apply the concept of one-variable
linear inequality to solve problems;
judge the reasonableness of answers.
• One-variable linear inequality and its
application
2. Draw graphs to represent a linear
relationship of two quantities.
• Graphs represent a linear relationship of
two quantities
3. Draw graphs of two-variable linear
inequalities.
• Graphs of two-variable linear inequalities
4. Read and interpret graphs of a
system of two-variable linear
equations and other graphs.
• Graphs of a system of two-variable linear
equations
• Other graphs
5. Solve a system of two-variable
linear equations and apply the
concept to solve problems; judge the
reasonableness of answers.
• Systems of two-variable linear equations
and applications
10-12 1. Draw Venn-Euler diagrams to
represent sets and apply the concept
to solve problems.
• Venn-Euler diagrams
2. Justify reasoning by using Venn-
Euler diagrams.
• Reasoning
3. Solve one-variable equations and
inequalities of up to 2 degrees.
• One-variable equations and inequalities of
up to 2 degrees
4. Use relations and functions to
represent situations or problems and
apply the concepts to solve problems.
• Relations and functions
5. Use graphs of equations,
inequalities, functions to solve
problems.
• Graphs of equations, inequalities,
functions and their applications
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Grade Indicators Core Content
10-12
(cont.)
6. Understand the meaning of sum of
the first n terms of arithmetic series
and geometric series; use formulae
to find sum of the first n terms of
arithmetic series and geometric
series and apply the concepts.
• Arithmetic series and geometric series
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Strand 5: Data Analysis and Probability
Students should be able to:
Standard M 5.1: understand and use statistical methods to analyze data.
Grade Indicators Core Content
1 − −
2 − −
3 1. Collect and sort data about oneself
and familiar surroundings.
• Collecting and sorting data about oneself
and familiar surroundings
2. Read simple picture graphs and bar
charts.
• Reading picture graphs and bar charts
4 1. Collect and sort data. • Collecting and sorting data
2. Read picture graphs, bar charts and
tables.
• Reading picture graphs
• Reading bar charts
• Reading tables
3. Make picture graphs and bar charts. • Making picture graphs and bar charts
5 1. Make bar charts with the numerical
data axis rescaled.
• Collecting and sorting data
• Making bar charts with the numerical data
axis rescaled
2. Read comparative bar charts. • Reading comparative bar charts
6 1. Read line graphs and pie charts. • Reading line graphs and pie charts
2. Make comparative bar charts and
line graphs.
• Making comparative bar charts and line
graphs
7 − −
8 1. Read pie charts and use pie charts to
represent data.
• Pie charts
9 1. Select issues and questions from
various problems or situations as
well as appropriate methods for
study and data collection.
• Data collection
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Grade Indicators Core Content
2. Find arithmetic mean, median and
mode of ungrouped data and select
appropriate measure of central
tendency.
• Measures of central tendency and their
applications
3. Select appropriate representation of
data
• Representation of data
4. Read, interpret and analyze data • Data analysis
10 - 12 1. Understand simple polling method. • Polling
2. Find arithmetic mean, median,
mode, standard deviation and
percentiles.
• Measures of central tendency
• Measures of data distribution
• Find the ranking of data
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Strand 5: Data Analysis and Probability
Students should be able to:
Standard M 5.2: use statistical methods and probability to make reasonable predictions.
Grade Indicators Core Content
1 − −
2 − −
3 − −
4 − −
5 1. Describe events using the following
terms: certain, possible, impossible.
• Estimating the possibility of events
6 1. Describe events using the words that
have the same meaning as the following
terms: certain, possible, impossible.
• Estimating the possibility of events
7 1. Identify the event which is more
likely to occur from a given set of
events.
• Likelihood of events
8 1. From a given set of events, identify
events that are certain, impossible
and events which are more likely to
occur.
• Likelihood of events
9 1. Find the probability of events from
random experiments with equally
likely possible outcomes and apply
the concepts of probability in
making reasonable predictions.
• Random experiments and events
• Probability of events
• Application of probability concepts in
making prediction
10-12 1. Use poll results to make predictions
in given situations.
• Polls
2. Describe random experiments,
probability of events and use the
results to make predictions in given
situations.
• Basic combinatorics
• Random experiments
• Sample space
• Events
• Probability of events
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Strand 5: Data Analysis and Probability
Students should be able to:
Standard M 5.3: use statistics and probability concepts in making decisions and solving problems.
Grade Indicators Core Content
1 − −
2 − −
3 − −
4 − −
5 − −
6 − −
7 − −
8 − −
9 1. Apply statistic and probability in
various decision-making situations.
• Application of statistic and probability in
decision-making
2. Discuss errors which may arise in
statistical representation. −
10-12 1. Use information and statistics to aid
decision-making.
• Statistics and information
2. Apply probability concepts in
decision-making and problem-
solving.
• Probability of events
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Strand 6: Mathematical Skills and Processes
Students should be able to:
Standard M 6.1: solve problems, use reasoning; use mathematical language in communication and
representation, connect mathematical ideas to other mathematical concepts and
to other disciplines, think creatively.
Grade Indicators Core Content
1 – 3 1. Use various methods in solving
problems. −
2. Appropriately use mathematical
concepts and mathematical
processes to solve problems in
various contexts.
−
3. Use reasoning in decision-making
and make reasonable conclusion. −
4. Properly use mathematical language
and symbols in communication and
representation.
−
5. Connect mathematical ideas to other
mathematical concepts and to other
disciplines.
−
6. Think creatively. −
4 – 6 1. Use various methods in solving
problems.
−
2. Appropriately use mathematical
concepts and mathematical
processes to solve problems in
various contexts.
−
3. Use reasoning in decision-making
and make reasonable conclusion.
−
4. Accurately use mathematical
language and symbols in
communication and representation.
−
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Grade Indicators Core Content
5. Connect mathematical ideas to other
mathematical concepts and to other
disciplines.
−
6. Think creatively. −
7– 9 1. Use various methods in solving
problems.
−
2. Appropriately use mathematical
concepts and mathematical
processes to solve problems in
various contexts.
−
3. Use reasoning in decision-making
and make reasonable conclusion.
−
4. Precisely use mathematical language
and symbols in communication and
representation.
−
5. Connect mathematical ideas to other
mathematical concepts and connect
mathematical concepts, principles
and processes to other disciplines.
−
6. Think creatively. −
10-12 1. Use various methods in solving
problems.
−
2. Appropriately use mathematical
concepts, mathematical processes
and technology to solve problems in
various contexts.
−
3. Use reasoning in decision-making
and make reasonable conclusion.
−
4. Precisely use mathematical language
and symbols in communication and
representation.
−
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Grade Indicators Core Content
5. Connect mathematical ideas to other
mathematical concepts and connect
mathematical concepts, principles
and processes to other disciplines.
−
6. Think creatively. −
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