UK MATH GRADE 3 – EDmama UK

A. Counting and Number Patterns

A.01. Recognize and differentiate between even and odd numbers.
A.02. Identify numbers as even or odd.
A.03. Select even or odd numbers from a set.
A.04. Locate and represent even or odd numbers on number lines.
A.05. Determine which even or odd number comes before or after a given number.
A.06. Count forward in sequences up to 1,000.
A.07. Understand and apply skip-counting by 2, 5, and 10.
A.08. Apply skip-counting by 4 and 8.
A.09. Skip-count by 100 to extend number patterns.
A.10. Complete skip-counting sequences and solve related puzzles.
A.11. Identify and extend counting patterns up to 100 and 1,000.
A.12. Represent numbers up to 100 and 1,000 on number lines.
A.13. Apply skip-counting skills to solve real-world stories.
A.14. Utilize a hundred chart to identify number patterns and relationships.
A.15. Understand the concept of negative numbers and their position relative to zero.

B. Comparing and Ordering Numbers

C. Place Values

C.01. Identify and represent place value using models for tens and ones.
C.02. Determine the value of a digit in the tens and ones places.
C.03. Convert between a number and its representation in tens and ones.
C.04. Regroup tens and ones to represent a number in different ways.
C.05. Identify and represent place value using models up to hundreds.
C.06. Identify a specific digit in a number up to the hundreds place.
C.07. Determine the value of a digit in a number up to the hundreds place.
C.08. Convert between a number and its representation up to hundreds.
C.09. Convert between place values (ones, tens, hundreds).
C.10. Convert numbers from expanded form to standard form up to hundreds.
C.11. Apply place value understanding to solve word problems.
C.12. Explain the concept of zero as a placeholder in place value.

D. Estimation and Rounding

D.01. Estimate a number to the nearest ten.
D.02. Round a number to the nearest ten.
D.03. Round a number to the nearest ten or hundred.
D.04. Estimate sums by rounding numbers to the nearest ten or hundred.
D.05. Solve word problems involving estimating sums.
D.06. Estimate differences by rounding numbers to the nearest ten or hundred.
D.07. Solve word problems involving estimating differences.
D.08. Explain situations where estimation is more useful than finding an exact answer.

E. Names of Numbers

E.01. Identify and use ordinal numbers up to 10th.
E.02. Identify and use ordinal numbers up to 100th.
E.03. Convert between digits and number words up to 100.
E.04. Convert digits to number words up to 1,000.
E.05. Convert number words to digits up to 1,000.
E.06. Write digits when given numbers in word form up to 1,000.
E.07. Write numbers in word form when given digits up to 1,000.
E.08. Use digits and words interchangeably to represent numbers up to 1,000.
E.09. Recognize and understand Roman numerals I, V, and X.
E.10. Research the history and use of Roman numerals in everyday life.

F. One-Digit Addition

F.01. Add one-digit numbers with sums up to 10.
F.02. Identify different combinations of numbers that sum to a specific number up to 10.
F.03. Write addition sentences to represent sums up to 10.
F.04. Add doubles (e.g., 1+1, 2+2).
F.05. Recognize the identity property of addition by adding zero to a number.
F.06. Add one-digit numbers using pictures to represent the quantities with sums up to 20.
F.07. Write addition sentences to describe pictures with sums up to 20.
F.08. Add one-digit numbers with sums greater than 10.
F.09. Complete addition input/output tables with sums up to 20.
F.10. Solve addition word problems with sums up to 20.
F.11. Complete addition sentences with missing addends with sums up to 20.
F.12. Write addition sentences to represent given scenarios with sums up to 20.
F.13. Balance simple addition equations with sums up to 20.
F.14. Add three or more one-digit numbers.
F.15. Solve word problems involving adding three or more one-digit numbers.
F.16. Identify repeated addition represented by arrays with sums up to 10.
F.17. Write addition sentences to represent arrays with sums up to 10.
F.18. Identify repeated addition for arrays with sums up to 25.
F.19. Write addition sentences to represent arrays with sums up to 25.
F.20. Explain how addition can be used in everyday problem-solving situations.

G. One-Digit Subtraction

G.01. Subtract one-digit numbers with results up to 10.
G.02. Identify different ways to subtract to reach a specific result up to 10.
G.03. Write subtraction sentences to represent differences up to 10.
G.04. Subtract doubles (e.g., 2-2, 5-5).
G.05. Subtract zero or all from a number (understanding identity and zero properties).
G.06. Subtract one-digit numbers using pictures to represent quantities with results up to 20.
G.07. Write subtraction sentences to describe pictures with results up to 20.
G.08. Subtract a one-digit number from a two-digit number up to 20.
G.09. Complete subtraction input/output tables with results up to 20.
G.10. Solve subtraction word problems with results up to 20.
G.11. Complete subtraction sentences with missing subtrahends or minuends with results up to 20.
G.12. Write subtraction sentences to represent given scenarios with results up to 20.
G.13. Balance simple subtraction equations with results up to 20.
G.14. Explain the relationship between addition and subtraction.

H. Two-Digit Addition

H.01. Add multiples of 10 (e.g., 10 + 20, 30 + 40).
H.02. Write addition sentences to describe pictures representing two-digit addition.
H.03. Use models (e.g., base-10 blocks) to add a two-digit and a one-digit number without regrouping.
H.04. Add a two-digit and a one-digit number without regrouping.
H.05. Use models to add a two-digit and a one-digit number with regrouping.
H.06. Add a two-digit and a one-digit number with regrouping.
H.07. Use models to add two-digit numbers without regrouping.
H.08. Add two-digit numbers without regrouping.
H.09. Use models to add two-digit numbers with regrouping.
H.10. Add two-digit numbers with regrouping.
H.11. Use compensation to add numbers up to two digits.
H.12. Complete addition input/output tables with numbers up to two digits.
H.13. Identify different combinations to make a number using addition.
H.14. Solve addition word problems with numbers up to two digits.
H.15. Complete addition sentences with missing addends for numbers up to two digits.
H.16. Write addition sentences to represent given scenarios with numbers up to two digits.
H.17. Balance addition equations with numbers up to two digits.
H.18. Add three or more numbers, each up to two digits.
H.19. Solve word problems involving adding three or more numbers, each up to two digits.
H.20. Explain the importance of lining up place values when adding multi-digit numbers.

I. Two-Digit Subtraction

I.01. Subtract multiples of 10 (e.g., 50 – 20, 80 – 30).
I.02. Write subtraction sentences to describe pictures representing two-digit subtraction.
I.03. Use models to subtract a one-digit number from a two-digit number without regrouping.
I.04. Subtract a one-digit number from a two-digit number without regrouping.
I.05. Use models to subtract a one-digit number from a two-digit number with regrouping.
I.06. Subtract a one-digit number from a two-digit number with regrouping.
I.07. Use models to subtract two-digit numbers without regrouping.
I.08. Subtract two-digit numbers without regrouping.
I.09. Use models to subtract two-digit numbers with regrouping.
I.10. Subtract two-digit numbers with regrouping.
I.11. Use compensation to subtract numbers up to two digits.
I.12. Complete subtraction input/output tables with numbers up to two digits.
I.13. Identify different ways to make a number using subtraction.
I.14. Solve subtraction word problems with numbers up to two digits.
I.15. Complete subtraction sentences with missing numbers for numbers up to two digits.
I.16. Write subtraction sentences to represent given scenarios with numbers up to two digits.
I.17. Balance subtraction equations with numbers up to two digits.
I.18. Explain real-world scenarios where subtraction is necessary for problem-solving.

J. Three-Digit Addition

J.01. Add multiples of 100 (e.g., 100 + 200, 300 + 400).
J.02. Add a multiple of 10 or 100 to a three-digit number.
J.03. Use models to add three-digit numbers without regrouping.
J.04. Use models to add three-digit numbers with regrouping.
J.05. Add a one-digit number to a three-digit number.
J.06. Add a two-digit number to a three-digit number.
J.07. Add a three-digit number to a three-digit number.
J.08. Perform addition with three-digit numbers in various formats.
J.09. Use compensation to add numbers up to three digits.
J.10. Complete addition input/output tables with numbers up to three digits.
J.11. Solve word problems involving adding a one-digit number to a three-digit number.
J.12. Solve word problems involving adding a two-digit number to a three-digit number.
J.13. Solve word problems involving adding a three-digit number to a three-digit number.
J.14. Solve addition word problems with numbers up to three digits.
J.15. Complete addition sentences with missing addends for numbers up to three digits.
J.16. Write addition sentences to represent given scenarios with numbers up to three digits.
J.17. Balance addition equations with numbers up to three digits.
J.18. Estimate sums of three-digit numbers before performing exact calculations to check for reasonableness.

K. Three-Digit Subtraction

K.01. Subtract multiples of 100 (e.g., 500 – 200, 800 – 300).
K.02. Use models to subtract from three-digit numbers without regrouping.
K.03. Use models to subtract from three-digit numbers with regrouping.
K.04. Subtract a one-digit number from a three-digit number.
K.05. Subtract by a multiple of 10 from a three-digit number.
K.06. Subtract a two-digit number from a three-digit number.
K.07. Subtract by a multiple of 100 from a three-digit number.
K.08. Subtract a three-digit number from a three-digit number.
K.09. Perform subtraction with three-digit numbers in various formats.
K.10. Use compensation to subtract numbers up to three digits.
K.11. Complete subtraction input/output tables with numbers up to three digits.
K.12. Solve word problems involving subtracting a one-digit number from a three-digit number.
K.13. Solve word problems involving subtracting a two-digit number from a three-digit number.
K.14. Solve word problems involving subtracting a three-digit number from a three-digit number.
K.15. Solve subtraction word problems with numbers up to three digits.
K.16. Complete subtraction sentences with missing numbers for numbers up to three digits.
K.17. Write subtraction sentences to represent given scenarios with numbers up to three digits.
K.18. Balance subtraction equations with numbers up to three digits.
K.19. Verify the answer by checking the correlation between addition and subtraction

L. Understand Multiplication

L.01. Count equal groups of objects.
L.02. Identify multiplication expressions that represent equal groups.
L.03. Write multiplication sentences to describe equal groups.
L.04. Relate addition and multiplication in the context of equal groups.
L.05. Identify multiplication expressions that represent arrays.
L.06. Write multiplication sentences to describe arrays.
L.07. Construct arrays to model multiplication.
L.08. Write multiplication sentences to represent situations shown on number lines.
L.09. Explain how multiplication simplifies counting equal groups.

M. Understand Division

N. Multiplication Skill Builders

N.01. Multiply any number by 0.
N.02. Multiply any number by 1.
N.03. Multiply numbers by 2.
N.04. Multiply numbers by 3.
N.05. Multiply numbers by 4.
N.06. Multiply numbers by 5.
N.07. Multiply numbers by 6.
N.08. Multiply numbers by 7.
N.09. Multiply numbers by 8.
N.10. Multiply numbers by 9.
N.11. Multiply numbers by 10.
N.12. Practice recalling multiplication facts automatically.

O. Division Skill Builders

O.01. Divide any number by 1.
O.02. Divide numbers by 2.
O.03. Divide numbers by 3.
O.04. Divide numbers by 4.
O.05. Divide numbers by 5.
O.06. Divide numbers by 6.
O.07. Divide numbers by 7.
O.08. Divide numbers by 8.
O.09. Divide numbers by 9.
O.10. Divide numbers by 10.
O.11. Practice recalling division facts automatically.

P. Multiplication

P.01. Recall multiplication facts up to 5.
P.02. Recall multiplication facts for 2, 3, 4, 5, 8, and 10.
P.03. Recall multiplication facts for 6, 7, 8, and 9.
P.04. Demonstrate fluency with multiplication facts up to 10.
P.05. Evaluate multiplication facts up to 5 as true or false.
P.06. Evaluate multiplication facts for 2, 3, 4, 5, 8, and 10 as true or false.
P.07. Evaluate multiplication facts up to 10 as true or false.
P.08. Choose multiples of 2, 3, 4, 5, or 10 from a given set of numbers.
P.09. Determine the missing factor in multiplication facts up to 10.
P.10. Solve multiplication word problems.
P.11. Solve multiplication word problems involving finding the missing factor.
P.12. Multiply a one-digit number by a two-digit number using area models I.
P.13. Multiply a one-digit number by a two-digit number using area models II.
P.14. Multiply a one-digit number by a two-digit number without models.
P.15. Solve word problems involving multiplying a one-digit number by a two-digit number.
P.16. Complete multiplication input/output tables.
P.17. Solve combination problems using multiplication.
P.18. Multiply a 1-digit number by 10 or 100.
P.19. Multiply using properties of multiplication (e.g., commutative, associative, distributive).
P.20. Apply multiplication strategies to solve real-world problems involving scaling quantities.

Q. Division

Q.01. Determine divisors and quotients up to 5.
Q.02. Recall division facts for 2, 3, 4, 5, 8, and 10.
Q.03. Recall division facts for 6, 7, 8, and 9.
Q.04. Demonstrate fluency with divisors and quotients up to 10.
Q.05. Evaluate division facts up to 5 as true or false.
Q.06. Evaluate division facts for 2, 3, 4, 5, 8, and 10 as true or false.
Q.07. Evaluate division facts up to 10 as true or false.
Q.08. Determine the missing number in division facts up to 10.
Q.09. Solve division word problems.
Q.10. Divide a two-digit number by a one-digit number using area models.
Q.11. Divide using repeated subtraction.
Q.12. Divide a two-digit number by a one-digit number without models.
Q.13. Solve word problems involving dividing a two-digit number by a one-digit number.
Q.14. Complete division tables.
Q.15. Complete division input/output tables.
Q.16. Interpret remainders in division problems and understand their significance.

R. Properties

R.02. Identify and write related subtraction facts.
R.03. Understand the relationship between addition and subtraction.
R.04. Identify and create fact families for addition and subtraction.
R.05. Understand the relationship between addition and multiplication (repeated addition).
R.06. Understand the relationship between multiplication and division.
R.07. Define and use addition, subtraction, multiplication, and division terms correctly.
R.08. Solve inequalities using addition and subtraction shortcuts.
R.09. Explain how properties of operations simplify calculations.
R.01. Identify and write related addition facts (commutative property).

S. Patterns

T. Mixed Operations

T.01. Determine ten more or less than a given number.
T.02. Complete input/output tables by adding and subtracting 10.
T.03. Add and subtract numbers up to 20.
T.04. Find different ways to make a number using addition and subtraction up to 20.
T.05. Solve addition and subtraction word problems up to 20.
T.06. Balance addition and subtraction equations up to 20.
T.07. Write the addition or subtraction rule for an input/output table up to 20.
T.08. Add and subtract numbers up to 100.
T.09. Find different ways to make a number using addition and subtraction up to 100.
T.10. Solve addition and subtraction word problems up to 100.
T.11. Solve two-step addition and subtraction word problems up to 100.
T.12. Balance addition and subtraction equations up to 100.
T.13. Write the addition or subtraction rule for an input/output table up to 100.
T.14. Complete input/output tables by adding and subtracting 100.
T.15. Determine which sign (+ or -) makes a number sentence true up to 100.
T.16. Write addition and subtraction sentences to represent given scenarios.
T.17. Solve inequalities involving addition and subtraction up to 100.
T.18. Add and subtract numbers up to 1,000.
T.19. Demonstrate fluency with multiplication and division facts for 2, 3, 4, 5, 8, and 10.
T.20. Evaluate multiplication and division facts for 2, 3, 4, 5, 8, and 10 as true or false.
T.21. Demonstrate fluency with multiplication and division facts up to 10.
T.22. Evaluate multiplication and division facts up to 10 as true or false.
T.23. Solve mixed operation problems involving addition, subtraction, multiplication, and division facts I.
T.24. Solve more complex mixed operation problems involving addition, subtraction, multiplication, and division facts II.
T.25. Create and solve multi-step word problems involving all four operations.

U. Logical Reasoning

V. Money

V.01. Identify coin values (e.g., penny, nickel, dime, quarter).
V.02. Count collections of coins.
V.03. Count collections of coins and notes (bills).
V.04. Determine equivalent amounts of money using different combinations of coins up to £1.
V.05. Determine equivalent amounts of money using different combinations of coins and notes up to £5.
V.06. Exchange coins for equivalent amounts.
V.07. Compare groups of coins to determine which has a greater value.
V.08. Add and subtract money amounts up to £1.
V.09. Solve word problems involving adding and subtracting money amounts up to £1.
V.10. Solve word problems involving adding and subtracting money amounts up to £5.
V.11. Determine if you have enough money to make a purchase up to £1.
V.12. Determine if you have enough money to make a purchase up to £10.
V.13. Identify which picture shows a greater amount of money up to £1.
V.14. Identify which picture shows a greater amount of money up to £5.
V.15. Determine the least number of coins needed to make a specific amount.
V.16. Calculate how much more money is needed to make one pound.
V.17. Calculate making change from purchases up to £1.
V.18. Calculate making change from purchases up to £10.
V.19. Plan a budget to determine how to spend money on items.

W. Time

W.01. Match analogue clocks to corresponding times I.
W.02. Match analogue clocks to corresponding times II.
W.03. Match analogue and digital clocks showing the same time I.
W.04. Match analogue and digital clocks showing the same time II.
W.05. Read analogue clocks and write the corresponding times I.
W.06. Read analogue clocks and write the corresponding times II.
W.07. Understand and use time-related vocabulary: o’clock, half past, quarter past, quarter to.
W.08. Differentiate between A.M. and P.M. times.
W.09. Compare clocks to determine which shows an earlier or later time.
W.10. Calculate elapsed time I (simple intervals).
W.11. Calculate elapsed time II (more complex intervals).
W.12. Identify time patterns in schedules or sequences.
W.13. Relate different units of time (e.g., minutes, hours, days).
W.14. Identify the four seasons.
W.15. Name the days of the week in order.
W.16. Name the months of the year in order.
W.17. Recall the number of days in each month.
W.18. Read and interpret information from a calendar.
W.19. Read and interpret information from schedules.
W.20. Understand the importance of time management in everyday life.

X. Units of Measurement

X.01. Compare objects based on size, weight, and capacity.
X.02. Read a thermometer to determine temperature.
X.03. Measure length using a centimetre ruler.
X.04. Choose the appropriate metric unit of length (mm, cm, m, km) for measuring different objects.
X.05. Compare and convert between metric units of length.
X.06. Solve word problems involving metric units of length.
X.07. Choose the appropriate metric unit of mass (g, kg) for measuring different objects.
X.08. Compare and convert between metric units of mass.
X.09. Choose the appropriate metric unit of volume (mL, L) for measuring different objects.
X.10. Compare and convert between metric units of volume.
X.11. Solve word problems involving metric units of mass and volume.
X.12. Select the appropriate measuring tool for a given task (e.g., ruler, scale, measuring cup).
X.13. Understand the importance of using standard units of measurement for consistency and communication.

Y. Data and Graphs

Y.01. Determine which tally chart correctly represents a given set of data.
Y.02. Interpret information presented in tally charts.
Y.03. Interpret information presented in bar graphs.
Y.04. Determine which bar graph correctly represents a given set of data.
Y.05. Create bar graphs to represent a set of data.
Y.06. Use bar graphs to solve problems and answer questions.
Y.07. Interpret information presented in line plots.
Y.08. Create line plots to represent a set of data.
Y.09. Interpret information presented in pictograms I.
Y.10. Interpret information presented in pictograms II.
Y.11. Create pictograms to represent a set of data.
Y.12. Interpret data presented in tables I.
Y.13. Interpret data presented in tables II.
Y.14. Interpret information presented in line graphs.
Y.15. Determine which line graph correctly represents a given set of data.
Y.16. Count shapes in a Venn diagram.
Y.17. Sort shapes into a Venn diagram based on given criteria.
Y.18. Explain how different types of graphs are useful for visualizing different types of data.

Z. Two-Dimensional Shapes

Z.01. Name different polygons (e.g., triangle, square, pentagon).
Z.02. Classify polygons based on their properties.
Z.03. Count the number of sides and vertices (corners) of a polygon.
Z.04. Compare the number of sides and vertices of different polygons.
Z.05. Sort two-dimensional shapes based on their attributes.
Z.06. Draw various two-dimensional shapes.
Z.07. Identify flips, turns, and slides (transformations) of shapes.
Z.08. Recognize fractions of a turn (e.g., half turn, quarter turn).
Z.09. Identify angles as greater than, less than, or equal to a right angle.
Z.10. Classify angles as acute, right, or obtuse.
Z.11. Identify right angles in quadrilaterals.
Z.12. Identify parallel and perpendicular lines.
Z.13. Identify congruent shapes (shapes that are the same size and shape).
Z.14. Identify lines of symmetry in shapes.
Z.15. Draw lines of symmetry on shapes.
Z.16. Count the number of lines of symmetry in a shape.
Z.17. Investigate tessellations and how shapes can fit together without gaps or overlaps.

AA. Three-Dimensional Shapes

AA.01. Name different three-dimensional shapes (e.g., cube, sphere, cylinder).
AA.02. Select three-dimensional shapes from a group of shapes.
AA.03. Count the number of vertices, edges, and faces on a three-dimensional shape.
AA.04. Compare the number of vertices, edges, and faces on different three-dimensional shapes.
AA.05. Identify the shapes of the faces of three-dimensional shapes.
AA.06. Identify the two-dimensional shapes that are traced from the faces of solids.
AA.07. Identify three-dimensional shapes in real-world objects I.
AA.08. Identify three-dimensional shapes in real-world objects II.
AA.09. Build three-dimensional shapes using manipulatives like straws, marshmallows, or clay.

BB. Perimeter and Area

CC. Understand Fractions

CC.01. Identify and represent halves and quarters.
CC.02. Identify the fraction represented by a shaded part of a whole.
CC.03. Understand fractions using fraction bars as visual aids.
CC.04. Understand fractions using area models as visual aids.
CC.05. Match fractions to corresponding models.
CC.06. Show fractions using fraction bars.
CC.07. Show fractions using area models.
CC.08. Represent unit fractions on number lines.
CC.09. Represent fractions on number lines.
CC.10. Identify unit fractions on number lines.
CC.11. Identify fractions on number lines.
CC.12. Graph unit fractions on number lines.
CC.13. Graph fractions on number lines.
CC.14. Graph smaller or larger fractions on a number line.
CC.15. Determine a fraction of a number (e.g., 1/2 of 10).
CC.16. Determine a fraction of a group of objects.
CC.17. Solve word problems involving fractions of a group.
CC.18. Model word problems involving fractions of a whole.
CC.19. Solve word problems involving fractions of a whole.
CC.20. Model decimals and fractions: tenths.
CC.21. Graph decimals and fractions on a number line: tenths.
CC.22. Explain how fractions are used to represent equal parts of a whole.

DD. Equivalent Fractions

DD.01. Find equivalent fractions using area models (two models).
DD.02. Find equivalent fractions using area models (one model).
DD.03. Identify equivalent fractions on number lines.
DD.04. Find equivalent fractions using number lines.
DD.05. Graph equivalent fractions on number lines.
DD.06. Select equivalent fractions from a set of fractions.
DD.07. Find equivalent fractions for a given fraction.
DD.08. Describe how multiplying or dividing the numerator and denominator by the same number creates an equivalent fraction.

EE. Compare Fractions

EE.01. Compare fractions using models (e.g., area models, fraction bars).
EE.02. Compare fractions using number lines.
EE.03. Graph and compare fractions with the same denominator on number lines.
EE.04. Graph and compare fractions with the same numerator on number lines.
EE.05. Compare fractions using various strategies.
EE.06. Graph and order fractions on number lines.
EE.07. Order fractions with the same denominator.
EE.08. Order fractions with the same numerator.
EE.09. Identify situations where comparing fractions is useful in real life.

FF. Add and Subtract Fractions

FF.01. Decompose fractions into unit fractions (e.g., 3/4 = 1/4 + 1/4 + 1/4).
FF.02. Decompose fractions into different combinations of fractions.
FF.03. Add fractions with the same denominator using area models.
FF.04. Add fractions with the same denominator using bar models.
FF.05. Add fractions with the same denominator using number lines.
FF.06. Add fractions with the same denominator.
FF.07. Subtract fractions with the same denominator using area models.
FF.08. Subtract fractions with the same denominator using bar models.
FF.09. Subtract fractions with the same denominator using number lines.
FF.10. Subtract fractions with the same denominator.
FF.11. Add and subtract fractions with the same denominator.
FF.12. Solve word problems involving adding and subtracting fractions with the same denominator.
FF.13. Investigate how adding and subtracting fractions is similar to adding and subtracting whole numbers.

Course Content

A. Counting and Number Patterns

A.01. Recognize and differentiate between even and odd numbers.

A.02. Identify numbers as even or odd.

A.03. Select even or odd numbers from a set.

A.04. Locate and represent even or odd numbers on number lines.

A.05. Determine which even or odd number comes before or after a given number.

A.06. Count forward in sequences up to 1,000.

A.07. Understand and apply skip-counting by 2, 5, and 10.

A.08. Apply skip-counting by 4 and 8.

A.09. Skip-count by 100 to extend number patterns.

A.10. Complete skip-counting sequences and solve related puzzles.

A.11. Identify and extend counting patterns up to 100 and 1,000.

A.12. Represent numbers up to 100 and 1,000 on number lines.

A.13. Apply skip-counting skills to solve real-world stories.

A.14. Utilize a hundred chart to identify number patterns and relationships.

A.15. Understand the concept of negative numbers and their position relative to zero.

B. Comparing and Ordering Numbers

B.01. Compare two numbers up to 100 to determine which is greater or less than the other.

B.02. Compare two numbers up to 1,000 to determine which is greater or less than the other.

B.03. Arrange a set of numbers up to 100 in ascending or descending order.

B.04. Arrange a set of numbers up to 1,000 in ascending or descending order.

B.05. Identify the greatest and least numbers in word problems involving numbers up to 100.

B.06. Solve word problems to find the greatest and least numbers among a set of numbers up to 1,000.

B.07. Explain the importance of place value when comparing and ordering numbers.

C. Place Values

C.01. Identify and represent place value using models for tens and ones.

C.02. Determine the value of a digit in the tens and ones places.

C.03. Convert between a number and its representation in tens and ones.

C.04. Regroup tens and ones to represent a number in different ways.

C.05. Identify and represent place value using models up to hundreds.

C.06. Identify a specific digit in a number up to the hundreds place.

C.07. Determine the value of a digit in a number up to the hundreds place.

C.08. Convert between a number and its representation up to hundreds.

C.09. Convert between place values (ones, tens, hundreds).

C.10. Convert numbers from expanded form to standard form up to hundreds.

C.11. Apply place value understanding to solve word problems.

C.12. Explain the concept of zero as a placeholder in place value.

D. Estimation and Rounding

D.01. Estimate a number to the nearest ten.

D.02. Round a number to the nearest ten.

D.03. Round a number to the nearest ten or hundred.

D.04. Estimate sums by rounding numbers to the nearest ten or hundred.

D.05. Solve word problems involving estimating sums.

D.06. Estimate differences by rounding numbers to the nearest ten or hundred.

D.07. Solve word problems involving estimating differences.

D.08. Explain situations where estimation is more useful than finding an exact answer.

E. Names of Numbers

E.01. Identify and use ordinal numbers up to 10th.

E.02. Identify and use ordinal numbers up to 100th.

E.03. Convert between digits and number words up to 100.

E.04. Convert digits to number words up to 1,000.

E.05. Convert number words to digits up to 1,000.

E.06. Write digits when given numbers in word form up to 1,000.

E.07. Write numbers in word form when given digits up to 1,000.

E.08. Use digits and words interchangeably to represent numbers up to 1,000.

E.09. Recognize and understand Roman numerals I, V, and X.

E.10. Research the history and use of Roman numerals in everyday life.

F. One-Digit Addition

F.01. Add one-digit numbers with sums up to 10.

F.02. Identify different combinations of numbers that sum to a specific number up to 10.

F.03. Write addition sentences to represent sums up to 10.

F.04. Add doubles (e.g., 1+1, 2+2).

F.05. Recognize the identity property of addition by adding zero to a number.

F.06. Add one-digit numbers using pictures to represent the quantities with sums up to 20.

F.07. Write addition sentences to describe pictures with sums up to 20.

F.08. Add one-digit numbers with sums greater than 10.

F.09. Complete addition input/output tables with sums up to 20.

F.10. Solve addition word problems with sums up to 20.

F.11. Complete addition sentences with missing addends with sums up to 20.

F.12. Write addition sentences to represent given scenarios with sums up to 20.

F.13. Balance simple addition equations with sums up to 20.

F.14. Add three or more one-digit numbers.

F.15. Solve word problems involving adding three or more one-digit numbers.

F.16. Identify repeated addition represented by arrays with sums up to 10.

F.17. Write addition sentences to represent arrays with sums up to 10.

F.18. Identify repeated addition for arrays with sums up to 25.

F.19. Write addition sentences to represent arrays with sums up to 25.

F.20. Explain how addition can be used in everyday problem-solving situations.

G. One-Digit Subtraction