#### TONGYAN MATH

At TongYan School, Math is more than just numbers.

With unlimited questions, engaging item types, and real-world scenarios, we help learners experience math at its most mesmerizing!

###### Curriculum - What you will learn from this course

###### PMAT102 - Preschool Logic Thinking with Spark Math/火花思维 - Age: 3~4

We are excited to introduce our collaborative program with Spark Math/火花思维 designed for 3-4-year-olds. At this tender age, mathematics is not merely about numbers and equations. Our primary aim is to nurture the mathematical and logical thinking abilities of preschoolers, setting a strong foundation for their lifelong learning journey.

Please refer to this document for course syllabus, as well as the accompanying video providing an introduction to the workbook and learning tools.

###### MATK02 - Singapore Math L1 - Gr. K

MAT102 is a comprehensive mathematics program designed for Kindergarten students. Through interactive and engaging activities, our curriculum lays a firm mathematical foundation for future learning. Our objectives include addressing challenging concepts within the school syllabus, fostering a keen interest in mathematics, nurturing higher-order thinking skills, and enhancing overall learning competitiveness. We achieve this by expanding the depth and breadth of mathematical concepts both within and outside the classroom, with the ultimate goal of developing independent thinking abilities and problem-solving skills applicable to real-life situations.

Please refer to this document for course syllabus of MAT102.

###### MAT102 - Math I - Gr. K and Gr.1

###### MAT102 - Singapore Math L2 - Gr. 1

MAT202 is a comprehensive mathematics program designed for 1st-grade students. In this course, students will advance their understanding of core Grade 1 Mathematics concepts and skills. They will also acquire effective problem-solving strategies that can be applied to their daily tasks and schoolwork. Our goal is to nurture their interest in mathematics, boost their confidence, and provide them with a competitive advantage in the subject. By delving into a wide range of concepts, both within and beyond the classroom curriculum, we empower our students to excel in their examinations.

Please refer to this document for course syllabus of MAT202.

###### MAT202 - Math II - Gr.2 and Gr.3

MAT202 is a dynamic math program designed for advanced Grade 2 and Grade 3 students. With engaging activities and real-life problem-solving, students will strengthen their math skills and build a solid foundation for further learning. In these math sessions, students will cover various topics and concepts.

Measurement— length/mass/volume

● measuring length in meters/centimeters and kilometers, mass in kilograms/grams, volume of liquid in liters and milliliters

● 【US special: inches, feet, ounces, pound, fluid ounce, cup, quart, gallon】

● measuring and drawing a line segment to the nearest cm

● using appropriate units of measurement & their abbreviations cm, m, g, kg

● comparing and ordering lengths /masses /volumes

● solving word problems involving length /mass /volume/capacity

● measuring length/mass/volume (of liquid) in compound units

● converting a measurement in compound units to the smaller unit, and vice versa: kilometers and meters, meters and centimeters, kilograms and grams, liters and milliliters

● 【and US specials】

Measurement— Time

● telling time to 5 minutes and to the minute

● use of ‘a.m.’ and ‘p.m.’

● use of ‘past’ and ‘to’ to tell time

● use of abbreviations h and min

● drawing hands on the clock face to show time

● duration of 1 hour/half hour

● measuring time in hours and minutes

● converting time in hours and minutes to minutes only, and vice versa

● finding the starting time, finishing time or duration given the other two quantities

● solving problems involving time in hours and minutes

Geometry G2

● identifying, naming and describing 2D shapes (semicircle/quarter circle)

● identifying the basic shapes that make up a given figure

● forming different 2D figures with rectangle/ square / triangle/semicircle/quarter circle

● copying figures on dot grid or square grid

● Identifying, naming, describing and classifying 3D shapes: cube, cuboid, cone, cylinder, sphere

Geometry G3

● concepts of area and perimeter of a plane figure

● measuring area in square units, cm and m

● perimeter of rectilinear figure

● area of rectangle/square

● concepts of angle

● right angles, angles greater than/smaller than a right angle

● perpendicular and parallel lines

● draw perpendicular and parallel lines on square grid

Statistics

● reading and interpreting data from picture graphs and bar graphs with scales

● using different scales on axis

● solving 1-step problems using data from picture graphs and bar graphs

###### MAT302 - Math III - Gr.4 and Gr.5

MAT302 is a comprehensive math program for advanced Grade 4 and Grade 5 students. With practical problem-solving and skill-building activities, students will strengthen their mathematical abilities and gain confidence in their math journey. The curriculum includes several sessions covering different topics.

Measurement— Length, Mass, Volume

● measuring • length in kilometers (km) • volume of liquid in milliliters (ml)

● measuring length/mass/volume (of liquid) in compound units

● converting a measurement in compound units to the smaller unit, and vice versa

● kilometers and meters • meters and centimeters • kilograms and grams • liters and milliliters

● 【and imperial units】

● solving word problems involving length/mass/volume/capacity excluding fractions

and compound units

Measurement— Time

● measuring time in seconds

● 24-hour clock

● solving problems involving time in 24-hour clock

Geometry— Area and Perimeter

● finding one dimension of a rectangle given the other dimension and its area/perimeter

● finding the length of one side of a square given its area/perimeter

● finding the area and perimeter of composite figures made up of rectangles and squares

● concepts of base and height of a triangle

● area of triangle

● finding the area of composite figures made up of rectangles, squares and triangles

Geometry— Angles

● using notation such as ∠ABC and ∠a to name angles

● measuring angles in degrees

● drawing an angle of given size

● relating quarter, half and complete turns to angles in degrees

● angles on a straight line

● angles at a point

● vertically opposite angles

● finding unknown angles

Rectangles and squares

● properties of rectangle and square, excluding diagonal properties

● drawing rectangles and squares on square grid

Triangles

● properties of • isosceles triangle • equilateral triangle • right triangle

● angle sum of a triangle

● finding unknown angles without additional construction of lines

Other quadrilaterals

● definitions and properties of • parallelogram • rhombus • trapezium

● 【quadrilateral, kite】

● 【relationship among all above mentioned quadrilaterals】

Symmetry

● identifying symmetric figures

● determining whether a straight line is a line of symmetry of a symmetric figure

● completing a symmetric figure with respect to a given line of symmetry on square grid

Statistics

● completing a table from given data

● reading and interpreting data from tables/line graphs

● solve 1-step problems using data from tables/graphs

● average, relationship between average, total value and number of data