IRELAND MATH CLASS 3 – EDmama Ireland

A. Numbers and Counting

A.01. Identify even and odd numbers.
A.02. Write numbers in words.
A.03. Identify ordinal numbers up to 100th.
A.04. Recognize and continue number sequences.
A.05. Compare whole numbers using place value.
A.06. Determine the greatest or least number from a set.
A.07. Arrange numbers in ascending or descending order.
A.08. Understand and apply arithmetic rules for even and odd numbers.
A.09. Solve skip-counting puzzles.
A.10. Compare numbers involving addition and subtraction.
A.11. Interpret and understand Roman numerals (I, V, X, L, C, D, M).
A.12. Solve multi-step inequalities involving number comparisons.
A.13. Explore number systems beyond base ten.

B. Place Value Foundations

B.10. Compare and contrast place value in different number systems (e.g., Roman numerals).
B.01. Identify place value names up to hundreds.
B.02. Identify place value names up to thousands.
B.03. Recognize and create place value models up to thousands.
B.04. Determine the value of a digit in a number up to thousands.
B.05. Convert numbers to and from their numerical representation.
B.06. Convert between standard and expanded form of a number.
B.07. Solve word problems involving place value concepts.
B.08. Understand and convert between different place values within a number.
B.09. Express numbers in expanded form to demonstrate place value.

C. Addition Fundamentals

C.01. Add two numbers up to three digits.
C.02. Complete addition sentences with missing addends (up to three digits).
C.03. Add two numbers up to three digits in word problems.
C.04. Use input/output tables to represent addition with numbers up to three digits.
C.05. Add three or more numbers up to three digits each.
C.06. Balance addition equations with numbers up to three digits.
C.07. Add three or more numbers up to three digits in word problems.
C.08. Add two numbers with four or more digits.
C.09. Complete addition sentences with missing addends (four or more digits).
C.10. Use input/output tables to represent addition with numbers of four or more digits.
C.11. Add two numbers with four or more digits in word problems.
C.12. Balance addition equations with numbers of four or more digits.
C.13. Add three or more numbers with four or more digits.
C.14. Add three or more numbers with four or more digits in word problems.
C.15. Identify and extend addition patterns over increasing place values.
C.16. Fill in missing digits in addition problems involving numbers of varying sizes.
C.17. Apply addition strategies to solve real-world problems involving larger numbers.

D. Subtraction Fundamentals

D.01. Subtract numbers up to three digits.
D.02. Complete subtraction sentences with missing subtrahends or minuends (up to three digits).
D.03. Subtract numbers up to three digits in word problems.
D.04. Use input/output tables to represent subtraction with numbers up to three digits.
D.05. Subtract numbers with four or more digits.
D.06. Balance subtraction equations with numbers up to three digits.
D.07. Use input/output tables to represent subtraction with numbers of four or more digits.
D.08. Subtract numbers with four or more digits in word problems.
D.09. Identify and extend subtraction patterns over increasing place values.
D.10. Fill in missing digits in subtraction problems involving numbers of varying sizes.
D.11. Apply subtraction strategies to solve real-world problems involving larger numbers.

E. Understanding Multiplication

E.01. Count equal groups of objects.
E.02. Write multiplication sentences to represent equal groups.
E.03. Identify multiplication expressions that represent equal groups.
E.04. Relate repeated addition to multiplication for equal groups.
E.05. Identify multiplication expressions for arrays of objects.
E.06. Write multiplication sentences to represent arrays of objects.
E.07. Construct arrays to model multiplication problems.
E.08. Write multiplication sentences for number lines showing equal jumps.
E.09. Visualize and explain the commutative property of multiplication using arrays.

F. Division Fundamentals

G. Multiplication Skill Builders

G.01. Multiply any number by 0.
G.02. Multiply any number by 1.
G.03. Multiply any number by 2.
G.04. Multiply any number by 3.
G.05. Multiply any number by 4.
G.06. Multiply any number by 5.
G.07. Multiply any number by 6.
G.08. Multiply any number by 7.
G.09. Multiply any number by 8.
G.10. Multiply any number by 9.
G.11. Multiply any number by 10.
G.12. Multiply any number by 11.
G.13. Multiply any number by 12.

H. Division Skill Builders

H.01. Divide any number by 1.
H.02. Divide any number by 2.
H.03. Divide any number by 3.
H.04. Divide any number by 4.
H.05. Divide any number by 5.
H.06. Divide any number by 6.
H.07. Divide any number by 7.
H.08. Divide any number by 8.
H.09. Divide any number by 9.
H.10. Divide any number by 10.
H.11. Divide any number by 11.
H.12. Divide any number by 12.

I. Multiplication Fluency

I.01. Recall multiplication facts for 2, 3, 4, 5 and 10.
I.02. Determine if multiplication facts for 2, 3, 4, 5, and 10 are true or false.
I.03. Sort multiplication facts for 2, 3, 4, 5, and 10.
I.04. Recall multiplication facts for 6, 7, 8 and 9.
I.05. Determine if multiplication facts for 6, 7, 8, and 9 are true or false.
I.06. Sort multiplication facts for 6, 7, 8, and 9.
I.07. Recall multiplication facts up to 10.
I.08. Determine if multiplication facts up to 10 are true or false.
I.09. Sort multiplication facts up to 10.
I.10. Determine if multiplication sentences up to 10 are true or false.
I.11. Recall multiplication facts to 12.
I.12. Find the missing factor in multiplication facts up to 12.
I.13. Recognize squares up to 10 x 10.
I.14. Apply multiplication facts to solve simple real-world problems.

J. Division Fluency

J.01. Recall division facts for 2, 3, 4, 5, 10.
J.02. Determine if division facts for 2, 3, 4, 5, 10 are true or false.
J.03. Sort division facts for 2, 3, 4, 5, 10.
J.04. Recall division facts for 6, 7, 8, 9.
J.05. Determine if division facts for 6, 7, 8, 9 are true or false.
J.06. Sort division facts for 6, 7, 8, 9.
J.07. Recall division facts up to 10.
J.08. Determine if division facts up to 10 are true or false.
J.09. Sort division facts up to 10.
J.10. Find the missing number in division facts up to 10.
J.11. Determine if division sentences up to 10 are true or false.
J.12. Recall division facts up to 12.
J.13. Apply division facts to solve simple real-world problems.

K. Multiplication Applications

K.01. Identify multiplication sentences.
K.02. Multiply numbers ending in zeroes.
K.03. Complete multiplication input/output tables.
K.04. Solve multiplication word problems.
K.05. Find the missing factor in multiplication word problems.
K.06. Multiply one-digit numbers by two-digit numbers.
K.07. Solve word problems involving multiplication of one-digit numbers by two-digit numbers.
K.08. Multiply one-digit numbers by three-digit numbers.
K.09. Solve word problems involving multiplication of one-digit numbers by three-digit numbers.
K.10. Multiply three or more numbers.
K.11. Solve word problems involving multiplication of three or more numbers.
K.12. Identify and extend multiplication patterns over increasing place values.
K.13. Model multiplication using area models (box multiplication).
K.14. Explore multiplication using the lattice method.
K.15. Use estimation to check the reasonableness of multiplication results.

L. Division Applications

L.01. Complete division tables.
L.02. Divide numbers ending in zeroes.
L.03. Complete division input/output tables.
L.04. Solve division word problems.
L.05. Divide larger numbers.
L.06. Solve division word problems involving larger numbers.
L.07. State divisibility rules for 2, 5 and 10.
L.08. Interpret remainders in division problems.
L.09. Identify and extend division patterns over increasing place values.
L.10. Apply division to solve multi-step word problems involving different operations.
L.11. Use estimation to check the reasonableness of division results.

M. Properties of Operations

M.02. Understand the role of parentheses in mathematical expressions.
M.03. Recognize and apply properties of addition (commutative, associative, identity).
M.04. Solve problems using properties of addition.
M.05. Recognize and apply properties of multiplication (commutative, associative, identity, zero).
M.06. Solve problems using properties of multiplication.
M.07. Identify the missing factor using the distributive property.
M.08. Multiply using the distributive property.
M.09. Relate addition and multiplication through repeated addition.
M.10. Relate multiplication and division as inverse operations.
M.11. Explain how the order of operations affects the outcome of a calculation.
M.01. Identify terms related to addition, subtraction, multiplication, and division.

N. Equations and Variables

O. Mixed Operations

O.01. Recall addition, subtraction, multiplication and division facts.
O.02. Complete addition, subtraction, multiplication or division sentences.
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 to solve problems.
O.10. Solve multi-step word problems involving mixed operations.
O.11. Identify missing operators in mathematical expressions.
O.12. Create real-world scenarios that require the use of mixed operations.

P. Estimation and Rounding

P.01. Round whole numbers to the nearest ten, hundred, and thousand.
P.02. Round money amounts to the nearest euro.
P.03. Solve rounding puzzles.
P.04. Solve inequalities using estimation.
P.05. Estimate sums of whole numbers.
P.06. Solve word problems involving estimation of sums.
P.07. Estimate differences of whole numbers.
P.08. Solve word problems involving estimation of differences.
P.09. Estimate products of whole numbers.
P.10. Solve word problems involving estimation of products.
P.11. Estimate quotients of whole numbers.
P.12. Solve word problems involving estimation of quotients.
P.13. Solve word problems involving estimation of sums, differences, products, and quotients.
P.14. Explain the impact of rounding on the accuracy of calculations.

Q. Fractions

Q.01. Understand fractions using fraction bars as visual aids.
Q.02. Understand fractions using area models as visual aids.
Q.03. Review basic fraction concepts (numerator, denominator).
Q.04. Show fractions using fraction bars.
Q.05. Show fractions using area models.
Q.06. Solve modelling word problems involving unit fractions.
Q.07. Solve word problems involving unit fractions.
Q.08. Solve modelling word problems involving fractions of a whole.
Q.09. Solve word problems involving fractions of a whole.
Q.10. Solve word problems involving fractions of a group.
Q.11. Identify unit fractions on number lines.
Q.12. Represent fractions on number lines.
Q.13. Identify fractions on number lines.
Q.14. Graph unit fractions on number lines.
Q.15. Graph fractions on number lines.
Q.16. Graph and compare fractions with like numerators on number lines.
Q.17. Graph and compare fractions with like denominators on number lines.
Q.18. Graph and compare fractions on number lines.
Q.19. Compare fractions using various methods (visual models, number lines).
Q.20. Find equivalent fractions.
Q.21. Select equivalent fractions from a set.
Q.22. Write fractions in lowest terms (simplify fractions).
Q.23. Put fractions in order from least to greatest.
Q.24. Determine fractions of a number involving unit fractions.
Q.25. Determine fractions of a number.
Q.26. Solve word problems involving fractions of a number (unit fractions).
Q.27. Solve word problems involving fractions of a number.
Q.28. Explain the relationship between fractions, decimals, and percentages.

R. Decimals

R.01. Identify the decimal number represented by a visual model.
R.02. Understand decimals expressed in words.
R.03. Convert between decimals and fractions.
R.04. Recognize and continue number sequences involving decimals.
R.05. Compare decimals using inequality symbols.
R.06. Put decimal numbers in order.
R.07. Add and subtract decimals.
R.08. Solve word problems involving addition and subtraction of decimals.
R.09. Add three or more decimal numbers.
R.10. Round decimals to the nearest tenth and hundredth.
R.11. Relate decimals to money and measurement contexts.

S. Time

S.01. Match clocks and times (analogue and digital).
S.02. Match analogue and digital clocks.
S.03. Read clocks and write times (to the nearest minute).
S.04. Differentiate between A.M. and P.M.
S.05. Write times using appropriate notation.
S.06. Calculate elapsed time.
S.07. Solve elapsed time word problems.
S.08. Read and interpret a calendar.
S.09. Relate different units of time (seconds, minutes, hours, days, weeks, months, years).
S.10. Identify and extend time patterns.
S.11. Convert between hours and fractions of hours.
S.12. Read and interpret schedules.
S.13. Interpret and create timelines.
S.14. Apply time-telling skills to plan and manage daily activities.

T. Money

T.01. Count coins and notes – up to €5 note.
T.02. Determine which picture shows more money.
T.03. Determine if you have enough money to make a purchase (up to €10).
T.04. Calculate making change.
T.05. Compare money amounts using inequalities.
T.06. Put money amounts in order.
T.07. Add and subtract money amounts.
T.08. Solve word problems involving addition of money amounts.
T.09. Interpret price lists.
T.10. Solve complex money problems involving multiple steps.
T.11. Calculate discounts and sales tax on purchases.

U. Measurement

U.01. Read a thermometer to determine temperature.
U.02. Determine a reasonable temperature for a given situation.
U.03. Select the appropriate metric unit of length for a given object.
U.04. Compare and convert metric units of length (mm, cm, m, km).
U.05. Select the appropriate metric unit of mass for a given object.
U.06. Compare and convert metric units of mass (g, kg).
U.07. Select the appropriate metric unit of volume for a given container.
U.08. Compare and convert metric units of volume (mL, L).
U.09. Use conversion tables to convert between metric units.
U.10. Work with metric mixed units (e.g., 1 m 25 cm).
U.11. Estimate measurements in metric units.
U.12. Choose appropriate tools for measuring length, mass, and volume.

V. Data and Graphs

V.06. Create pictographs from given data.
V.07. Interpret data presented in line graphs.
V.08. Create line graphs from given data.
V.09. Sort shapes into a Venn diagram based on their attributes.
V.10. Count shapes within a Venn diagram.
V.11. Analyze and draw conclusions from data presented in various types of graphs.
V.12. Identify misleading representations of data.
V.01. Interpret data presented in bar graphs.
V.02. Create bar graphs from given data.
V.03. Interpret data presented in line plots.
V.04. Create line plots from given data.
V.05. Interpret data presented in pictographs.

W. Geometry

W.01. Identify two-dimensional shapes (circle, square, triangle, rectangle, etc.).
W.02. Count and compare the number of sides and vertices in two-dimensional shapes.
W.03. Identify three-dimensional shapes (cube, sphere, cone, cylinder, etc.).
W.04. Count the number of vertices, edges, and faces in three-dimensional shapes.
W.05. Identify the faces of three-dimensional shapes.
W.06. Determine if a shape is a polygon.
W.07. Identify angles as greater than, less than, or equal to a right angle.
W.08. Recognize reflection, rotation, and translation of shapes.
W.09. Identify congruent shapes.
W.10. Identify lines of symmetry in two-dimensional shapes.
W.11. Calculate the perimeter of polygons.
W.12. Find the area of figures made of unit squares.
W.13. Select figures with a given area.
W.14. Select two figures with the same area.
W.15. Create figures with a given area.
W.16. Find the area of rectangles and squares.
W.17. Find the missing side length of a rectangle given its area and one side length.
W.18. Classify triangles based on their angles and sides.

X. Probability and Statistics

Y. Patterns

Z. Logical Reasoning

Z.01. Solve “guess the number” puzzles using clues.
Z.02. Determine the largest and smallest number possible given certain constraints.
Z.03. Determine the order of items based on given clues.
Z.04. Solve age puzzles using logical deduction.
Z.05. Find two numbers based on their sum and difference.
Z.06. Find two numbers based on their sum, difference, product, and quotient.
Z.07. Solve logic puzzles involving spatial reasoning.
Z.08. Apply critical thinking skills to evaluate the validity of arguments.

Course Content

A. Numbers and Counting

A.01. Identify even and odd numbers.

A.02. Write numbers in words.

A.03. Identify ordinal numbers up to 100th.

A.04. Recognize and continue number sequences.

A.05. Compare whole numbers using place value.

A.06. Determine the greatest or least number from a set.

A.07. Arrange numbers in ascending or descending order.

A.08. Understand and apply arithmetic rules for even and odd numbers.

A.09. Solve skip-counting puzzles.

A.10. Compare numbers involving addition and subtraction.

A.11. Interpret and understand Roman numerals (I, V, X, L, C, D, M).

A.12. Solve multi-step inequalities involving number comparisons.

A.13. Explore number systems beyond base ten.

B. Place Value Foundations

B.10. Compare and contrast place value in different number systems (e.g., Roman numerals).

B.01. Identify place value names up to hundreds.

B.02. Identify place value names up to thousands.

B.03. Recognize and create place value models up to thousands.

B.04. Determine the value of a digit in a number up to thousands.

B.05. Convert numbers to and from their numerical representation.

B.06. Convert between standard and expanded form of a number.

B.07. Solve word problems involving place value concepts.

B.08. Understand and convert between different place values within a number.

B.09. Express numbers in expanded form to demonstrate place value.

C. Addition Fundamentals

C.01. Add two numbers up to three digits.

C.02. Complete addition sentences with missing addends (up to three digits).

C.03. Add two numbers up to three digits in word problems.

C.04. Use input/output tables to represent addition with numbers up to three digits.

C.05. Add three or more numbers up to three digits each.

C.06. Balance addition equations with numbers up to three digits.

C.07. Add three or more numbers up to three digits in word problems.

C.08. Add two numbers with four or more digits.

C.09. Complete addition sentences with missing addends (four or more digits).

C.10. Use input/output tables to represent addition with numbers of four or more digits.

C.11. Add two numbers with four or more digits in word problems.

C.12. Balance addition equations with numbers of four or more digits.

C.13. Add three or more numbers with four or more digits.

C.14. Add three or more numbers with four or more digits in word problems.

C.15. Identify and extend addition patterns over increasing place values.

C.16. Fill in missing digits in addition problems involving numbers of varying sizes.

C.17. Apply addition strategies to solve real-world problems involving larger numbers.

D. Subtraction Fundamentals

D.01. Subtract numbers up to three digits.

D.02. Complete subtraction sentences with missing subtrahends or minuends (up to three digits).

D.03. Subtract numbers up to three digits in word problems.

D.04. Use input/output tables to represent subtraction with numbers up to three digits.

D.05. Subtract numbers with four or more digits.

D.06. Balance subtraction equations with numbers up to three digits.

D.07. Use input/output tables to represent subtraction with numbers of four or more digits.

D.08. Subtract numbers with four or more digits in word problems.

D.09. Identify and extend subtraction patterns over increasing place values.

D.10. Fill in missing digits in subtraction problems involving numbers of varying sizes.

D.11. Apply subtraction strategies to solve real-world problems involving larger numbers.

E. Understanding Multiplication

E.01. Count equal groups of objects.

E.02. Write multiplication sentences to represent equal groups.

E.03. Identify multiplication expressions that represent equal groups.

E.04. Relate repeated addition to multiplication for equal groups.

E.05. Identify multiplication expressions for arrays of objects.

E.06. Write multiplication sentences to represent arrays of objects.

E.07. Construct arrays to model multiplication problems.

E.08. Write multiplication sentences for number lines showing equal jumps.

E.09. Visualize and explain the commutative property of multiplication using arrays.

F. Division Fundamentals

F.01. Divide objects by counting equal groups.

F.02. Write division sentences to represent groups.

F.03. Relate multiplication and division as inverse operations for groups.

F.04. Write division sentences to represent arrays.

F.05. Relate multiplication and division as inverse operations for arrays.

G. Multiplication Skill Builders

G.01. Multiply any number by 0.

G.02. Multiply any number by 1.

G.03. Multiply any number by 2.

G.04. Multiply any number by 3.

G.05. Multiply any number by 4.

G.06. Multiply any number by 5.

G.07. Multiply any number by 6.