Course Content
A. Numbers and Counting
-
A.01. Identify even and odd numbers
-
A.02. Recognize and extend simple number sequences
-
A.03. Identify ordinal numbers up to 100th
-
A.04. Write numbers in words
-
A.05. Determine whether a number is even or odd using arithmetic rules
-
A.06. Solve skip-counting puzzles
-
A.07. Explore real-world applications of even and odd numbers
B. Place Value
-
B.01. Identify place value models up to hundreds
-
B.02. Name place values up to hundreds
-
B.03. Determine the value of a digit in a number
-
B.04. Name place values up to thousands
-
B.05. Convert numbers to and from expanded form
-
B.06. Convert between place values within a number
-
B.07. Convert from expanded form to standard form and vice versa
-
B.08. Solve word problems involving place value
-
B.09. Compare the values of digits in different place values
-
B.10. Apply place value understanding to solve real-world problems
C. Comparing Numbers
-
C.01. Compare two numbers using greater than, less than, or equal to symbols
-
C.02. Identify the greatest and least number from a set
-
C.03. Order a set of numbers from least to greatest and vice versa
-
C.04. Use a number line to compare and order numbers
-
C.05. Apply comparison skills to solve simple word problems
-
C.06. Explain the meaning of greater than, less than, and equal to in real-world contexts
D. Addition
-
D.01. Add two numbers up to three digits without regrouping
-
D.02. Complete addition input/output tables with numbers up to three digits
-
D.03. Add two numbers up to three digits with regrouping
-
D.04. Solve addition word problems involving numbers up to three digits
-
D.05. Complete addition sentences with missing addends (up to three digits)
-
D.06. Balance simple addition equations (up to three digits)
-
D.07. Add three or more numbers up to three digits each
-
D.08. Solve word problems involving the addition of three or more numbers up to three digits
-
D.09. Identify and extend addition patterns over increasing place values
-
D.10. Fill in missing digits in addition problems
-
D.11. Apply addition skills to solve multi-step word problems
E. Subtraction
-
E.01. Subtract numbers up to three digits without regrouping
-
E.02. Complete subtraction input/output tables with numbers up to three digits
-
E.03. Subtract numbers up to three digits with regrouping
-
E.04. Solve subtraction word problems involving numbers up to three digits
-
E.05. Complete subtraction sentences with missing subtrahends or minuends (up to three digits)
-
E.06. Balance simple subtraction equations (up to three digits)
-
E.07. Identify and extend subtraction patterns over increasing place values
-
E.08. Fill in missing digits in subtraction problems
-
E.09. Apply subtraction skills to solve multi-step word problems
F. Understanding Multiplication
-
F.01. Count equal groups of objects
-
F.02. Identify multiplication expressions that represent equal groups
-
F.03. Write multiplication sentences to describe equal groups
-
F.04. Relate addition and multiplication for equal groups
-
F.05. Identify multiplication expressions that represent arrays
-
F.06. Write multiplication sentences to describe arrays
-
F.07. Create arrays to model multiplication
-
F.08. Write multiplication sentences for number lines showing equal jumps
-
F.09. Illustrate the commutative property of multiplication using arrays and equal groups
G. Multiplication Skill Builders
-
G.01. Multiply any number by 0
-
G.02. Multiply any number by 1
-
G.03. Multiply numbers by 2
-
G.04. Multiply numbers by 3
-
G.05. Multiply numbers by 4
-
G.06. Multiply numbers by 5
-
G.07. Multiply numbers by 6
-
G.08. Multiply numbers by 7
-
G.09. Multiply numbers by 8
-
G.10. Multiply numbers by 9
-
G.11. Multiply numbers by 10
-
G.12. Recognize and apply the patterns in multiplication tables
H. Multiplication Fluency
-
H.01. Recall multiplication facts for 2, 3, 4, 5, and 10
-
H.02. Determine if multiplication facts for 2, 3, 4, 5, and 10 are true or false
-
H.03. Sort multiplication facts for 2, 3, 4, 5, and 10
-
H.04. Recall multiplication facts for 6, 7, 8, and 9
-
H.05. Determine if multiplication facts for 6, 7, 8, and 9 are true or false
-
H.06. Sort multiplication facts for 6, 7, 8, and 9
-
H.07. Recall multiplication facts up to 10
-
H.08. Determine if multiplication facts up to 10 are true or false
-
H.09. Sort multiplication facts up to 10
-
H.10. Determine if multiplication sentences up to 10 are true or false
-
H.11. Find the missing factor in multiplication facts up to 10
-
H.12. Select the missing factors in multiplication facts up to 10
-
H.13. Calculate squares of numbers up to 10 x 10
-
H.14. Apply multiplication facts to solve simple word problems
I. Multiplication
-
I.01. Interpret and write multiplication sentences
-
I.02. Multiply numbers ending in zeroes
-
I.03. Complete multiplication input/output tables
-
I.04. Solve multiplication word problems
-
I.05. Solve multiplication word problems with a missing factor
-
I.06. Multiply one-digit numbers by two-digit numbers
-
I.07. Solve word problems involving multiplication of one-digit numbers by two-digit numbers
-
I.08. Multiply one-digit numbers by three-digit numbers
-
I.09. Solve word problems involving multiplication of one-digit numbers by three-digit numbers
-
I.10. Use box multiplication to multiply multi-digit numbers
-
I.11. Use lattice multiplication to multiply multi-digit numbers
-
I.12. Estimate products before calculating to check for reasonableness
J. Understanding Division
-
J.01. Divide objects by counting equal groups
-
J.02. Write division sentences to represent groups
-
J.03. Relate multiplication and division for groups
-
J.04. Write division sentences to represent arrays
-
J.05. Relate multiplication and division for arrays
-
J.06. Model division using manipulatives and drawings
K. Division Skill Builders
-
K.04. Divide numbers by 4
-
K.05. Divide numbers by 5
-
K.06. Divide numbers by 6
-
K.07. Divide numbers by 7
-
K.08. Divide numbers by 8
-
K.09. Divide numbers by 9
-
K.10. Divide numbers by 10
-
K.11. Apply the relationship between multiplication and division to solve problems
-
K.01. Divide any number by 1
-
K.02. Divide numbers by 2
-
K.03. Divide numbers by 3
L. Division Fluency
-
L.01. Recall division facts for 2, 3, 4, 5, and 10
-
L.02. Determine if division facts for 2, 3, 4, 5, and 10 are true or false
-
L.03. Sort division facts for 2, 3, 4, 5, and 10
-
L.04. Recall division facts for 6, 7, 8, and 9
-
L.05. Determine if division facts for 6, 7, 8, and 9 are true or false
-
L.06. Sort division facts for 6, 7, 8, and 9
-
L.07. Recall division facts up to 10
-
L.08. Determine if division facts up to 10 are true or false
-
L.09. Sort division facts up to 10
-
L.10. Find the missing number in division facts up to 10
-
L.11. Determine if division sentences up to 10 are true or false
-
L.12. Apply division facts to solve simple word problems
M. Division
-
M.01. Complete division tables
-
M.02. Complete division input/output tables
-
M.03. Solve division word problems
-
M.04. Apply divisibility rules for 2, 5, and 10
-
M.05. Solve division problems with remainders
-
M.06. Interpret remainders in division word problems
N. Properties
-
N.01. Identify and define terms related to addition, subtraction, multiplication, and division
-
N.02. Understand the role of parentheses in mathematical expressions
-
N.03. Identify and apply the properties of addition (commutative, associative, identity)
-
N.04. Solve problems using the properties of addition
-
N.05. Identify and apply the properties of multiplication (commutative, associative, identity, zero)
-
N.06. Solve problems using the properties of multiplication
-
N.07. Apply the distributive property to find the missing factor
-
N.08. Multiply using the distributive property
-
N.09. Relate addition and multiplication through repeated addition
-
N.10. Relate multiplication and division as inverse operations
-
N.11. Use properties to simplify calculations and solve problems
O. Mixed Operations
-
O.01. Recall addition, subtraction, multiplication, and division facts
-
O.02. Complete addition, subtraction, multiplication, or division sentences with missing numbers
-
O.03. Determine if multiplication and division facts up to 5 are true or false
-
O.04. Determine if multiplication and division facts up to 10 are true or false
-
O.05. Determine if multiplication and division facts up to 12 are true or false
-
O.06. Determine if multiplication and division sentences up to 12 are true or false
-
O.07. Add, subtract, multiply, and divide whole numbers
-
O.08. Solve addition, subtraction, multiplication, and division word problems
-
O.09. Add and subtract data from tables
-
O.10. Solve multi-step word problems involving mixed operations
-
O.11. Identify missing operators in equations to make them true
-
O.12. Create and solve your own multi-step word problems
P. Time
-
P.01. Match analogue clocks to corresponding times
-
P.02. Match digital clocks to corresponding times
-
P.03. Read analogue and digital clocks and write the time
-
P.04. Distinguish between A.M. and P.M.
-
P.05. Calculate elapsed time in hours and minutes
-
P.06. Solve elapsed time word problems
-
P.07. Identify and extend time patterns
-
P.08. Read a calendar and identify dates
-
P.09. Interpret schedules
-
P.10. Create and interpret timelines
-
P.11. Convert between units of time (minutes, hours, days)
Q. Money
-
Q.01. Count collections of coins and notes up to 500 rupees
-
Q.02. Compare two sets of coins and notes to determine which shows more money
-
Q.03. Determine if you have enough money to make a purchase up to 1,000 rupees
-
Q.04. Calculate making change from a purchase
-
Q.05. Understand and use inequalities to compare money amounts
-
Q.06. Put money amounts in order from least to greatest and vice versa
-
Q.07. Add and subtract money amounts
-
Q.08. Solve word problems involving adding money amounts
-
Q.09. Interpret and use price lists to solve problems
-
Q.10. Multiply and divide money amounts in word problems
R. Measurement
-
R.01. Measure length using a centimetre ruler
-
R.02. Select the appropriate metric unit of length for measuring an object
-
R.03. Compare and convert metric units of length (centimetres, metres, kilometres)
-
R.04. Use conversion tables for metric units of length, weight and capacity
-
R.05. Solve problems involving metric mixed units (e.g., 1 metre 25 centimetres)
-
R.06. Differentiate between light and heavy objects
-
R.07. Determine which container holds more or less
-
R.08. Compare weight and capacity of different objects
-
R.09. Read a thermometer to determine temperature
-
R.10. Determine reasonable temperatures for various situations
-
R.11. Estimate and measure the volume of liquids using appropriate units
S. Data and Graphs
-
S.01. Interpret data presented in line plots
-
S.02. Create line plots from given data sets
-
S.03. Interpret data presented in pictographs
-
S.04. Create pictographs from given data sets
-
S.05. Sort shapes into a Venn diagram based on their attributes
-
S.06. Count the number of shapes in each section of a Venn diagram
-
S.07. Interpret data from bar graphs and pie charts
-
S.08. Collect and organize data to create your own graphs
T. Geometry
-
T.01. Identify two-dimensional shapes (e.g., squares, circles, triangles, rectangles)
-
T.02. Count and compare the number of sides and vertices of two-dimensional shapes
-
T.03. Identify three-dimensional shapes (e.g., cubes, spheres, cones, cylinders)
-
T.04. Count the number of vertices, edges, and faces of three-dimensional shapes
-
T.05. Identify the faces of three-dimensional shapes
-
T.06. Determine if a shape is a polygon or not
-
T.07. Identify reflection, rotation, and translation transformations
-
T.08. Identify lines of symmetry in two-dimensional shapes
-
T.09. Interpret and use maps
-
T.10. Find the area of rectangles and squares
-
T.11. Find the missing side length of a rectangle given its area and one side length
-
T.12. Calculate the perimeter of rectangles and squares
U. Estimation and Rounding
-
U.01. Round numbers to the nearest ten or hundred
-
U.02. Round money amounts to the nearest rupee
-
U.03. Solve rounding puzzles
-
U.04. Estimate sums of numbers
-
U.05. Solve word problems involving estimation of sums
-
U.06. Estimate differences of numbers
-
U.07. Solve word problems involving estimation of differences
-
U.08. Estimate products of numbers
-
U.09. Solve word problems involving estimation of products
-
U.10. Solve word problems involving estimation of sums, differences, and products
-
U.11. Understand the limitations of estimations in real-world scenarios
V. Logical Reasoning
-
V.01. Solve “guess the number” puzzles using clues
-
V.02. Determine the largest and smallest number possible given certain constraints
-
V.03. Find the correct order of items based on given clues
-
V.04. Solve age puzzles
-
V.05. Find two numbers based on their sum and difference
-
V.06. Find two numbers based on their sum, difference, product, and quotient
-
V.07. Use logical reasoning to solve riddles and brain teasers
W. Patterns
-
W.04. Complete a repeating pattern
-
W.05. Create a repeating pattern
-
W.06. Find the next row in a growing pattern
-
W.07. Describe patterns using mathematical terms
-
W.01. Identify and extend repeating patterns
-
W.02. Identify and extend growing patterns
-
W.03. Find the next shape in a pattern
X. Probability
-
X.01. Determine if an event is more, less, or equally likely to occur
-
X.02. Classify events as certain, probable, unlikely, or impossible
-
X.03. Determine possible combinations of items
-
X.04. Conduct simple probability experiments and record the results
-
X.05. Explain the difference between theoretical and experimental probability
