Learning Center (PKG12)
Tutoring · After School
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Math Level 1 (KGrade 1)
Term 1
Lesson 12

Count numbers from 1 to 10

Read and write numbers within 10 in numerals and words

Match numerals to words from 1 to 10

Count and compare numbers, and make number patterns
Lesson 34

Make number bonds

Complete number bonds by filling in the missing parts
Lesson 5 Review
Lesson 67

Add numbers within 10 using number bonds and by counting on

Make addition equations and stories

Solve onestep addition story sums
Lesson 89

Subtract by crossing out, counting on, counting back and using number bonds

Make subtraction equations and stories

Solve onestep subtraction story sums
Lesson 10 Review
Lesson 1112

Identify and recognize squares, circles, triangles and rectangles

Name sides and corners of basic shapes

Group shapes by size, shape and color

Identify and recognize shapes in everyday objects

Complete shape patterns in sequence
Lesson 13 Review
Lesson 1415

Count numbers from 10 to 20

Use tens and ones to show numbers from 10 to 20

Compare and arrange numbers within 20

Complete number patterns
Lesson 16

Add by counting on and by making 10

Subtract by counting back

Solve addition and subtraction word problems within 20
Lesson 17 Review
Lesson 18

Compare heights and lengths of two or more objects

Compare lengths using a start line

Measure length using common objects and different objects

Measure length in units
Lesson 19 Review & Test
Term 2
Lesson 1

Count numbers from 20 to 40

Use tens and ones to show numbers from 20 to 40

Compare sets and numbers by subtraction

Compare and arrange numbers within 40, and complete number patterns
Lesson 23

Add numbers with or without regrouping

Add three numbers

Solve addition word problems
Lesson 45

Subtract numbers with or without regrouping

Solve subtraction word problems
Lesson 6 Review
Lesson 7

Understand and read data from simple picture graphs

Create picture graphs based on the given data

Understand and interpret data from picture graphs
Lesson 89

Understand the concept of multiplication  add the same number

Make multiplication equations and stories

Solve multiplication word problems
Lesson 10 Review
Lesson 1112

Understand the concept of division  equal sharing and equal grouping

Find the equal number of items in each group

Find the number of equal groups

Solve division word problems
Lesson 13

Read time to hour and half hour

Read time in everyday life
Lesson 14 Review
Lesson 1516

Count numbers from 40 to 100

Use tens and ones to show numbers from 40 to 100

Compare and arrange numbers within 100, and complete number patterns
Lesson 1718

Add numbers with or without regrouping

Subtract numbers with or without regrouping
Lesson 1920

Know money in cents and dollars, and find value of a group of coins and notes

Exchange coins and notes

Add and subtract money in cents or dollars, and solve related word problems
Lesson 21 Review & Test
Math Level 2 (Grade 12)
Term 1
Lesson 12

Count and write numbers within 1000 in numerals and words

Understand the place value of numbers within 1000

Compare and arrange numbers within 1000

Recognize and complete number patterns
Lesson 34

Perform mental addition/subtraction of 2digit/3digit number and 1digit number

Perform addition/subtraction of 2digit/3digit numbers without regrouping

Perform addition/subtraction of 2digit/3digit numbers with regrouping ones, tens or hundreds.
Lesson 5 Review
Lesson: 67

Add/subtract 3digit numbers using partwhole

Add/subtraction 3digit numbers by adding on and taking away sets

Add/subtract 2digit/ 3digit numbers by comparing two sets
Lesson 89

Multiply 1digit numbers using equal groups and repeated addition

Divide 1digit numbers by sharing equally and using equal groups

Make multiplication and division stories
Lesson 10 Review
Lesson 1112

Multiply numbers within multiplication table of 2,5

Multiple numbers within multiplication of 10

Divide numbers using multiplication facts
Lesson 1314

Multiply numbers within multiplication table of 3,4

Divide numbers using multiplication facts

Write multiplication and division fact families
Lesson 15 Review
Lesson 1617

Solve 1digit numbers multiplication word problems

Solve 1digit numbers division word problems

Brainstorming and ProblemSolving Practice
Lesson 18

Measure length, width and height using a meter rule

Compare and order lengths in meters and centimeters

Add and subtract length

Multiply and divide length
Lesson 19 Review & Test
Term 2
Lesson 1

Twostep word problems on addition

Twostep word problems on subtraction
Lesson 2

Compare two or more masses

Measure and compare masses in kilograms and grams

Solve addition and subtraction word problems related to mass

Solve multiplication and division word problems related to mass
Lesson 3 Review
Lesson 45

Find the value of a group of notes and coins

Express the amount of money in two ways and convert dollars to cents

Compare money

Solve word problems related to money
Lesson 67

Recognize twodimensional figures (squares, rectangles, triangles, circles, semicircles and quarter circles)

Combine shapes to make new figures

Recognize threedimensional figures (cubes, cuboids, cones, cylinders, spheres)

Make patterns with shapes and solids
Lesson 8 Review
Lesson 910

Understand fractions and equal parts

Understand parts and whole

Compare and arrange fractions with same denominator or numerator

Perform addition/subtraction of fraction with same denominator
Lesson 1112

Express the correct time and understand ‘am’ and ‘pm’

Draw hour and minute hands correctly

Find the time after a certain time given the duration of half hour or one hour
Lesson 13 Review
Lesson 1415

Read and interpret data from picture graphs with scales

Create picture graphs with scales
Lesson 1617

Compare volumes of liquid

Read and measure volume of liquid in liters

Solve word problems related to adding, subtracting, multiplying and dividing volume
Lesson 1819 Review & Brainstorming and ProblemSolving Practice
Lesson 2021 Review & Test
Math Level 2B (Grade 2)
Term 1
Lesson 12
● Count and write numbers within 10000 in numerals and words
● Understand the place value of numbers within 10000
● Compare and arrange numbers within 10000
● Recognize and complete number patterns
Lesson 34
● Find sum of numbers within 10000 by number models
● Perform addition of 3digit/4digit number and 3digit/4digit number by regrouping ones, tens and hundreds
● Perform mental addition of 2digit number and 2digit number
Lesson 5 Review
Lesson 67
● Find difference of numbers within 10000 by number models
● Perform subtraction of 3digit/4digit number and 3digit/4digit number by regrouping ones, tens and hundreds
● Perform mental subtraction of 2digit number and 2digit number
Lesson 89
● Solve for twostep word problems related to addition and subtraction
● Brainstorming and ProblemSolving Practice
Lesson 10 Review
Lesson 1112
● Multiple numbers by 6, 7, 8, 9
● Divide numbers using multiplication facts
● Solve twostep word problems related to multiplication and division
Lesson 1314
● Multiply 2digit/3digit number by 1digit number without regrouping
● Multiply 2digit/3digit number by 1digit number by regrouping ones, tens, hundreds and thousands
Lesson 15 Review
Lesson 1617
● Look for quotient and remainder by dividing
● Divide 2digit/3digit number by 1digit number without regrouping
● Multiply 2digit/3digit number by 1digit number by regrouping ones, tens, and hundreds
Lesson 1819
● Solve 1step word problems related to multiplication and division
● Solve twostep word problems on the four operations
Lesson 2021 Review & Test
Term 2
Lesson 2223
● Add money in dollars and cents
● Subtract money in dollars and cents
● Solve related money word problems
Lesson 2425
● Express length in kilometers, meters, or centimeters
● Read correct mass on scale, and express mass in kilograms and grams
● Read correct volume in measuring beakers, and express volume in liters and milliliters
● Solve word problems related to length, mass and volume
Lesson 26 Review
Lesson 2728
● Read and interpret data from bar graphs
● Solve word problems using data from bar graphs
Lesson 2930
● Recognize and understand equivalent fractions
● Express a fraction in its simplest form
● Perform addition/subtraction of fraction with different denominators
Lesson 31 Review
Lesson 3233
● Express time in minutes or hours and minutes
● Look for duration given two different times
● Look for starting time or ending time
● Solve word problems related to time
Lesson 3435
● Identify angles and right angles
● Identify and draw perpendicular lines in grids and figures
● Identify and draw parallel lines in grids and figures
Lesson 36 Review
Lesson 3738
● Understand perimeter and area of figures in squares units
● Look for perimeters and area of rectangles and squares using formula
Lesson 3940
● Solve word problems related to perimeter and area of rectangles or squares
● Brainstorming and ProblemSolving Practice
Lesson 4142 Review & Test
Math Level 3A (Grade 3)
Operations and Algebraic Thinking :
Understand Numbers within 100,000
● Recognize and write numbers within 100,000 in numerals and words
● Identify the place value of numbers within 100,000
● Compare, order and complete number patterns within 100,000
● Round off numbers to the nearest ten, hundred and thousand, and estimate sums and difference
Operations of multidigit whole numbers
● List factors, common factors, multiples and common multiples of whole numbers within 100
● Perform multiplication and division by 1digit/2digit numbers
● Solve word problems related to whole numbers
Fractions
● Recognize mixed numbers and improper fractions, convert mixed numbers to improper fractions and convert improper fractions to mixed numbers
● Compare and order fractions with different numerators and different denominators
● Perform addition and subtraction fractions (mixed numbers and improper fractions) with different numerators and denominators
Decimals
● Recognize decimal place  tenths, hundredths and thousands
● Compare and order decimals, and round off decimals to the nearest whole number, 1 decimal place or 2 decimal places
● Perform four operations (addition, subtraction, multiplication, division) decimals and estimate the value of decimals
● Express a fraction (with denominator as 10 or 100) as a decimal, and vice versa, and solve word problems related to decimals
Measurement and Data :
● Measure time in seconds, express time in 12hour clock and 24hour clock, and understand the starting or ending time given the duration (in hours and minutes), and solve word problems related to time
● Interpret data in a table, complete table using given data, and solve problems related to given data
Geometry :
● Understand angles, turns, 8point compass and measure angles
● Recognize properties of squares and rectangles, and find unknown lengths and angles in squares and rectangles
● Calculate perimeter and area of rectangles, squares and composite figures, look for missing length or width of rectangle/square given perimeter or area, and solve related word problems
● Understand the concept of symmetry, recognize symmetric figures and the lines of symmetry in figures, and complete symmetric figures and patterns
Math Level 3B (Grade 34)
Operations and Algebraic Thinking :
Understand Numbers within 10 million
● Recognize and write numbers within 10 million in numerals and words
● Identify the place value of number within 10 million
Operations of multidigit whole numbers
● Perform multiplication of tens, hundreds, thousands and their multiples
● Perform division of tens, hundreds, thousands and their multiples
● Perform order of operations for whole numbers
● Solve word problems related to whole numbers
Fractions
● Use equivalent fractions as a strategy to add and subtract fractions, and mixed numbers
● Perform multiplication of whole numbers, fractions (proper and improper fractions) and mixed numbers
● Solve word problems related to fractions
Decimals
● Perform conversion from fractions (proper and improper fractions) to decimals
● Multiply and divide decimals to thousands by tens, hundreds, thousands and their multiples
Measurement and Data :
● Recognize volume as an attribute of solid figure, understand concepts of volume measurement
● Measure volumes by counting unit cubes, using cubic cm, l, and ml, and apply formula to calculate volume of cubes and cuboids
● Understand the concept of percentage, relate percent to decimals and fractions, and calculate percentage based on quantities and vice versa
● Understand the concept of average, calculate the average or total number, and solve realworld word problems related to average
● Understand the concept of ratio, look for ratio and equivalent ratio of two or three given quantities, and solve word problems related to ratio
● Understand the rate between different currency, and solve realworld word problems related to rate
Geometry :
● Recognize and understand angles on a straight line, angles at a point and vertically opposite angles, and look for unknown angles using angle properties
● Recognize and classify triangles, look for unknown angles in rightangled, isosceles and equilateral triangles, and apply formula to calculate the area of triangles
● Recognize and classify quadrilaterals, look for unknown angles in a parallelogram, rhombus and trapezium
Math Level 4 (Grade 4)
Operations and Algebraic Thinking :
● Apply and extend previous understanding of arithmetic to algebraic expression
✧ Write and evaluate numerical expressions involving wholenumber exponents
✧ Write, read, and evaluate expressions in which letters stands for numbers
✧ Apply the properties of operations to generate equivalent expressions
● Apply and extend previous understanding of multiplication and division to divide fractions by fractions
● Fluently divide multidigit numbers using the standard algorithm
● Fluently perform addition and subtraction of multidigit decimals
● Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12, and use distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers without common factor
Measurement and Data :
● Understand ratio, rate, and proportion concept and use ratio and rate reasoning to solve realworld mathematical problems
● Understand percentage, discount, GST, percentage increase and percentage decrease, and solve realworld mathematical problems
● Read and interpret pie charts and use data from pie chart to solve word problems
● Understand distance and speed, look for average speed and solve word problems related to speed
● Use angle properties to find unknown angles in geometric figures like square, rectangle, parallelogram, rhombus, trapezium, and different types of triangles
Geometry :
● Recognize center, radius, diameter and circumference of a circle as well as semicircle and quarter circle, calculate circumference and area of a circle using formula, and solve word problems related to circles and composite figures
● Calculate the volume of a right rectangular prism, look for one dimension of a cuboid given its volume and other dimensions, or the edge of a cube given its volume, find surface area and volume of solids and liquids and solve related word problems
● Represent threedimensional figures such as cube, cuboid, prism and pyramid using nets made up of rectangles and triangles, and use the nets to find the number of surfaces and surface area of these figures