UK MATH GRADE 4 – EDmama UK

A. Numbers and Counting

A.01. Identify even and odd numbers within a given range.
A.02. Recognize ordinal numbers up to 100th and their corresponding positions.
A.03. Skip-count forward by 6, 7, and 9.
A.04. Convert numbers up to 10,000 between digit and word forms.
A.05. Complete skip-counting sequences and solve skip-counting puzzles.
A.06. Compare and order numbers up to 1,000.
A.07. Recognize and interpret Roman numerals.
A.08. Compare and order numbers up to 100,000.
A.09. Compare numbers in tables up to 100,000.
A.10. Compare numbers using addition and subtraction.
A.11. Solve multi-step inequalities involving number comparisons.
A.12. Apply knowledge of number comparison to solve real-world problems.
A.13. Create number sequences based on given rules.
A.14. Analyze complex number patterns and predict future elements.

B. Place Values

B.01. Identify the place value of digits up to the thousands place.
B.02. Convert numbers from standard to expanded form, and vice versa.
B.03. State the place value names up to the hundred thousands place.
B.04. Determine the value of a digit in a number up to hundred thousands.
B.05. Convert between different place values within a number.
B.06. Convert numbers to and from a given place value representation.
B.07. Solve place value word problems by applying understanding of digit values.
B.08. Apply place value understanding to compare and order numbers.
B.09. Use place value knowledge to round numbers to the nearest ten, hundred, or thousand.

C. Understand Multiplication

D. Understand Division

E. Multiplication Skill Builders

F. Division Skill Builders

G. Multiplication Fluency

G.01. Recall multiplication facts for 2, 5, and 10.
G.02. Determine the truth or falsity of multiplication facts for 2, 5, and 10.
G.03. Sort multiplication facts for 2, 5, and 10.
G.04. Find the missing factor in multiplication facts for 2, 3, 4, 5, 6, and 10.
G.05. Recall multiplication facts for 3, 4, and 6.
G.06. Determine the truth or falsity of multiplication facts for 3, 4, and 6.
G.07. Sort multiplication facts for 3, 4, and 6.
G.08. Recall multiplication facts for 7, 8, and 9.
G.09. Determine the truth or falsity of multiplication facts for 7, 8, and 9.
G.10. Sort multiplication facts for 7, 8, and 9.
G.11. Find the missing factor in multiplication facts up to 10.
G.12. Select the missing factors in multiplication facts up to 10.
G.13. Determine the truth or falsity of multiplication sentences up to 10.
G.14. Recall all multiplication facts up to 10.
G.15. Sort multiplication facts up to 10.
G.16. Determine squares of numbers up to 10 x 10.
G.17. Recall all multiplication facts up to 12.
G.18. Determine the truth or falsity of multiplication facts up to 12.
G.19. Sort multiplication facts up to 12.
G.20. Find the missing factor in multiplication facts up to 12.
G.21. Select the missing factors in multiplication facts up to 12.
G.22. Determine the truth or falsity of multiplication sentences up to 12.
G.23. Apply multiplication skills to solve multi-step problems.
G.24. Use mental math strategies to calculate products quickly.

H. Division Fluency

H.01. Recall division facts for 2, 5, and 10.
H.02. Determine the truth or falsity of division facts for 2, 5, and 10.
H.03. Recall division facts for 3, 4, and 6.
H.04. Determine the truth or falsity of division facts for 3, 4, and 6.
H.05. Recall division facts for 7, 8, and 9.
H.06. Determine the truth or falsity of division facts for 7, 8, and 9.
H.07. Recall all division facts up to 10.
H.08. Determine the truth or falsity of division facts up to 10.
H.09. Sort division facts up to 10.
H.10. Find the missing number in division facts up to 10.
H.11. Select the missing numbers in division facts up to 10.
H.12. Determine the truth or falsity of division sentences up to 10.
H.13. Recall all division facts up to 12.
H.14. Determine the truth or falsity of division facts up to 12.
H.15. Sort division facts up to 12.
H.16. Find the missing number in division facts up to 12.
H.17. Select the missing numbers in division facts up to 12.
H.18. Determine the truth or falsity of division sentences up to 12.
H.19. Apply division skills to solve multi-step problems.
H.20. Use mental math strategies to calculate quotients quickly.

I. Addition

I.01. Add multiples of 10, 100, or 1,000 to whole numbers.
I.02. Add a two-digit number to a three-digit number.
I.03. Add two three-digit numbers.
I.04. Add two numbers with up to four digits.
I.05. Add three or more numbers with up to three digits each.
I.06. Add three or more numbers with up to four digits.
I.07. Complete addition sentences with missing addends (up to four digits).
I.08. Use compensation to add numbers up to three digits plus two digits.
I.09. Identify and extend addition patterns over increasing place values.
I.10. Solve addition input/output tables (up to four digits).
I.11. Balance addition equations (up to four digits).
I.12. Solve word problems involving addition (up to four digits).
I.13. Solve addition word problems requiring completion of sentences.
I.14. Fill in missing digits in addition problems.
I.15. Apply addition principles to solve real-world problems.
I.16. Develop and justify mental math strategies for addition.

J. Subtraction

J.01. Subtract multiples of 10, 100, or 1,000 from whole numbers.
J.02. Subtract a two-digit number from a three-digit number.
J.03. Subtract three-digit numbers.
J.04. Subtract numbers with up to four digits.
J.05. Complete subtraction sentences with missing subtrahends or minuends (up to four digits).
J.06. Identify and extend subtraction patterns over increasing place values.
J.07. Solve subtraction input/output tables (up to four digits).
J.08. Balance subtraction equations (up to four digits).
J.09. Solve word problems involving subtraction (up to four digits).
J.10. Subtract across zeroes.
J.11. Fill in missing digits in subtraction problems.
J.12. Apply subtraction principles to solve real-world problems.
J.13. Develop and justify mental math strategies for subtraction.

K. Multiplication

K.01. Choose the multiples of 2, 3, 4, 5, 6, and 10.
K.02. Identify factors of a given number.
K.03. Complete factor pairs of a number.
K.04. Multiply one-digit numbers by 10 or 100.
K.05. Multiply by a multiple of 10 using place value.
K.06. Multiply by multiples of 10 and 100.
K.07. Multiply one-digit numbers by two-digit numbers.
K.08. Multiply one-digit numbers by three-digit numbers.
K.09. Multiply three or more numbers.
K.10. Use multiplication input/output tables to find the rule.
K.11. Identify and extend multiplication patterns over increasing place values.
K.12. Compare numbers using multiplication.
K.13. Multiply one-digit numbers by two-digit numbers using area models.
K.14. Multiply one-digit numbers by three-digit numbers using area models.
K.15. Solve multiplication word problems.
K.16. Solve multiplication word problems involving missing factors.
K.17. Solve word problems comparing numbers using multiplication.
K.18. Solve word problems requiring multiplication of three or more numbers.
K.19. Use estimation to check the reasonableness of multiplication results.
K.20. Create real-world problems involving multiplication.

L. Division

L.01. Complete a division table.
L.02. Divide numbers ending in zeroes.
L.03. Divide two-digit numbers by one-digit numbers.
L.04. Divide three-digit numbers by one-digit numbers.
L.05. Identify and extend division patterns over increasing place values.
L.06. Use division input/output tables.
L.07. Divide two-digit numbers by one-digit numbers using area models.
L.08. Divide three-digit numbers by one-digit numbers using area models.
L.09. Divide using repeated subtraction.
L.10. Divide using partial quotients.
L.11. State and apply divisibility rules for 2, 5, and 10.
L.12. Solve division word problems.
L.13. Apply division to solve real-world problems.
L.14. Use estimation to check the reasonableness of division results.
L.15. Construct visual models to represent division problems.

M. Estimation and Rounding

M.01. Round using a number line to the nearest ten or hundred.
M.02. Round to the nearest ten or hundred.
M.03. Round to the nearest ten, hundred, or thousand.
M.04. Round money amounts to the nearest dollar or pound.
M.05. Estimate sums up to 1,000.
M.06. Estimate differences up to 1,000.
M.07. Estimate products when multiplying by 1-digit numbers.
M.08. Estimate products when multiplying by 2-digit numbers.
M.09. Estimate quotients in division problems.
M.10. Solve inequalities using estimation.
M.11. Solve rounding puzzles.
M.12. Estimate sums.
M.13. Estimate differences.
M.14. Estimate quotients.
M.15. Estimate sums, differences, products, and quotients in mixed operations.
M.16. Solve word problems involving estimation.
M.17. Use estimation to assess the reasonableness of answers in calculations.
M.18. Apply rounding skills to real-world situations involving measurements.

N. Properties

N.01. Identify addition, subtraction, multiplication, and division terms (e.g., addend, sum, factor, product, quotient).
N.02. Understand the purpose and use of brackets (parentheses) in mathematical expressions.
N.03. Identify and apply the properties of addition (commutative, associative, identity).
N.04. Complete equations using properties of addition.
N.05. Add using properties of addition to simplify calculations.
N.06. Identify and apply the properties of multiplication (commutative, associative, identity, zero).
N.07. Solve problems using properties of multiplication.
N.08. Relate addition and multiplication through concepts like repeated addition.
N.09. Relate multiplication and division as inverse operations.
N.10. Complete sentences involving multiplication by 0 or 1.
N.11. Identify the distributive property and find the missing factor.
N.12. Multiply using the distributive property.
N.13. Simplify complex calculations using properties of operations.
N.14. Use the distributive property to solve mental math problems.

O. Mixed operations

O.01. Complete addition, subtraction, multiplication, or division sentences.
O.02. Determine the truth or falsity of multiplication and division facts up to 5.
O.03. Determine the truth or falsity of multiplication and division facts up to 10.
O.04. Determine the truth or falsity of multiplication and division facts up to 12.
O.05. Write numerical expressions to represent mathematical operations.
O.06. Add, subtract, and multiply numbers in multi-step problems.
O.07. Add, subtract, multiply, and divide numbers in multi-step problems.
O.08. Use input/output tables involving addition and subtraction by 1,000.
O.09. Use general input/output tables to determine rules and solve for missing values.
O.10. Interpret data from tables and perform addition and subtraction.
O.11. Solve addition and subtraction word problems.
O.12. Solve multiplication and division word problems.
O.13. Solve comparison word problems involving addition or multiplication.
O.14. Solve multi-step word problems involving addition, subtraction, and multiplication.
O.15. Solve multi-step word problems involving addition, subtraction, multiplication, and division.
O.16. Solve two-step addition and subtraction word problems.
O.17. Solve two-step multiplication and division word problems.
O.18. Solve two-step mixed operation word problems.
O.19. Identify missing operators in mathematical sentences.
O.20. Construct and solve multi-step word problems based on given scenarios.
O.21. Explain the order of operations and its impact on problem-solving.

P. Fractions

P.01. Understand fractions using fraction bars and area models.
P.02. Show fractions using fraction bars and area models.
P.03. Match fractions to their corresponding models.
P.04. Identify fractions of a group of objects.
P.05. Identify unit fractions on number lines.
P.06. Identify fractions on number lines.
P.07. Graph unit fractions on number lines.
P.08. Graph fractions on number lines.
P.09. Solve word problems involving unit fractions using models.
P.10. Solve word problems involving unit fractions.
P.11. Solve word problems involving fractions of a whole using models.
P.12. Solve word problems involving fractions of a whole.
P.13. Solve word problems involving fractions of a group.
P.14. Apply knowledge of fractions to divide objects into equal parts.
P.15. Model fractions and mixed numbers using manipulatives.

Q. Compare and order fractions

R. Equivalent fractions

R.01. Identify equivalent fractions using area models with two models shown.
R.02. Identify equivalent fractions using area models with one model shown.
R.03. Identify equivalent fractions on number lines.
R.04. Find equivalent fractions using number lines.
R.05. Graph equivalent fractions on number lines.
R.06. Select equivalent fractions from a list.
R.07. Find equivalent fractions for a given fraction.
R.08. Graph fractions equivalent to 1 on number lines.
R.09. Write fractions in lowest terms (simplify fractions).
R.10. Generate a series of equivalent fractions for a given fraction.
R.11. Explain the concept of equivalent fractions using mathematical language.

S. Operations with fractions

S.01. Find fractions of a number when the numerator is 1 (unit fractions).
S.02. Find fractions of a number when the numerator is greater than 1.
S.03. Solve word problems involving finding a unit fraction of a number.
S.04. Solve word problems involving finding a non-unit fraction of a number.
S.05. Decompose fractions into unit fractions (e.g., 3/4 = 1/4 + 1/4 + 1/4).
S.06. Decompose fractions into the sum of fractions.
S.07. Add fractions with the same denominator using number lines.
S.08. Add fractions with the same denominator.
S.09. Subtract fractions with the same denominator using number lines.
S.10. Subtract fractions with the same denominator.
S.11. Add and subtract fractions with the same denominator using number lines.
S.12. Add and subtract fractions with the same denominator.
S.13. Compare sums and differences of fractions with the same denominator.
S.14. Solve word problems involving addition and subtraction of fractions with the same denominator.
S.15. Add 3 or more fractions with the same denominator.
S.16. Construct and solve real-world problems that involve fraction operations.
S.17. Apply visual models to understand fraction addition and subtraction.

T. Decimals

T.15. Compare decimals on number lines.
T.16. Use inequalities to compare decimals.
T.17. Determine which decimals are greater or less than a given decimal.
T.18. Evaluate decimal comparisons to determine if they are true or false.
T.19. Order decimal numbers from least to greatest or greatest to least.
T.20. Apply understanding of decimals to real-world contexts involving money and measurements.
T.21. Explain the relationship between decimals and percentages.
T.01. Identify the decimal number represented by a visual model (e.g., blocks).
T.02. Model the relationship between decimals and fractions.
T.03. Convert fractions to decimals.
T.04. Convert decimals to fractions.
T.05. Interpret decimals expressed in words (e.g., “three tenths”).
T.06. Round decimals to the nearest whole number.
T.07. Identify the place value of a given digit in a decimal number.
T.08. Identify the digit in a given place value in a decimal number.
T.09. Determine one-tenth or one-hundredth more or less than a given decimal.
T.10. Extend and complete number sequences involving decimals.
T.11. Graph decimals on number lines.
T.12. Use decimal number lines to compare and order decimals.
T.13. Graph fractions as decimals on number lines.
T.14. Compare decimals using models.

U. Operations with decimals

U.01. Add decimal numbers using base-ten blocks.
U.02. Add decimal numbers using standard algorithm.
U.03. Subtract decimal numbers using standard algorithm.
U.04. Add and subtract decimal numbers in mixed operations.
U.05. Solve word problems involving addition and subtraction of decimals.
U.06. Add three or more decimal numbers.
U.07. Solve word problems involving the addition of three or more decimal numbers.
U.08. Estimate sums and differences of decimals.
U.09. Multiply a decimal by 10 or 100.
U.10. Divide a whole number by 10 or 100, expressing the quotient as a decimal.
U.11. Divide a decimal by 10 or 100.
U.12. Apply decimal operations to real-world financial contexts.
U.13. Justify the reasonableness of decimal calculations using estimation.

V. Money

V.01. Count coins and notes up to £5.
V.02. Determine if you have enough money to make purchases up to £10.
V.03. Compare two sets of money to determine which is greater.
V.04. Make change for a given purchase.
V.05. Use inequalities to compare money amounts.
V.06. Order money amounts from least to greatest or greatest to least.
V.07. Add and subtract money amounts up to £1.
V.08. Add and subtract money amounts greater than £1.
V.09. Solve word problems involving addition and subtraction of money up to £1.
V.10. Solve word problems involving addition and subtraction of money amounts greater than £1.
V.11. Use price lists to solve multi-step money problems.
V.12. Apply mathematical operations to solve real-world financial problems.
V.13. Develop strategies for budgeting and saving money.

W. Time

W.01. Match analogue clocks to corresponding times.
W.02. Match analogue and digital clocks.
W.03. Read clocks and write the time displayed.
W.04. Determine if a given time is A.M. or P.M.
W.05. Write times in both analogue and digital formats.
W.06. Calculate elapsed time to find the end time, given a start time and duration.
W.07. Calculate the elapsed time between two given times.
W.08. Solve word problems involving elapsed time.
W.09. Read and interpret a calendar.
W.10. Relate different units of time (seconds, minutes, hours, days, weeks, months, years).
W.11. Identify and extend time patterns.
W.12. Convert between hours and fractions of hours.
W.13. Convert between 12-hour and 24-hour time formats.
W.14. Read and interpret schedules using 12-hour time.
W.15. Read and interpret schedules using 24-hour time.
W.16. Interpret and create timelines.
W.17. Apply time management skills to organize daily activities.
W.18. Convert between different time zones.

X. Logical reasoning

Y. Patterns

Z. Integers

AA. Equations and variables

AA.01. Identify equations as mathematical statements with equality.
AA.02. Solve for the variable in equations involving addition and subtraction.
AA.03. Solve for the variable in equations involving multiplication and division.
AA.04. Solve for the variable in equations involving addition, subtraction, multiplication, and division.
AA.05. Write variable expressions to represent mathematical relationships.
AA.06. Write variable expressions from word problems.
AA.07. Write variable equations to represent word problems.
AA.08. Evaluate algebraic expressions by substituting given values for variables.
AA.09. Formulate and solve equations from real-world scenarios.

BB. Data and graphs

BB.01. Identify objects on a coordinate plane.
BB.02. Graph points on a coordinate plane.
BB.03. Use coordinate planes as maps to find coordinates of locations.
BB.04. Use coordinate planes as maps to count the distance between two points.
BB.05. Use coordinate planes as maps to find the distance or travel time between locations.
BB.06. Provide directions to a starting point using coordinate plane terminology.
BB.07. Interpret data from tally charts.
BB.08. Interpret data from frequency charts.
BB.09. Create frequency charts from data sets.
BB.10. Interpret data from bar graphs.
BB.11. Use bar graphs to solve problems.
BB.12. Interpret bar graphs to solve two-step problems.
BB.13. Create bar graphs from data sets.
BB.14. Interpret bar graphs for grouped data.
BB.15. Create bar graphs for grouped data.
BB.16. Interpret data from line plots.
BB.17. Create line plots from data sets.
BB.18. Interpret data from pictograms.
BB.19. Create pictograms from data sets.
BB.20. Interpret data from line graphs.
BB.21. Create line graphs from data sets.
BB.22. Count shapes in a Venn diagram.
BB.23. Sort shapes into a Venn diagram.
BB.24. Analyze the characteristics of different types of graphs.
BB.25. Determine which type of graph is most suitable for a given data set.

CC. Units of measurement

CC.01. Read a thermometer to determine temperature.
CC.02. Determine if a given temperature is reasonable for a specific situation.
CC.03. Measure objects using a centimetre ruler.
CC.04. Select the appropriate metric unit of length for a given measurement.
CC.05. Compare and convert metric units of length (mm, cm, m, km).
CC.06. Work with mixed metric units of length (e.g., 1 m 25 cm).
CC.07. Select the appropriate metric unit of mass for a given measurement.
CC.08. Compare and convert metric units of mass (g, kg).
CC.09. Compare the volumes of different containers to determine which is greater or smaller.
CC.10. Select the appropriate metric unit of volume for a given measurement.
CC.11. Compare and convert metric units of volume (mL, L).
CC.12. Use conversion tables to convert between metric units.
CC.13. Select the appropriate imperial unit of length for a given measurement.
CC.14. Compare and convert imperial units of length (inches, feet, yards, miles).
CC.15. Select the appropriate imperial unit of weight for a given measurement.
CC.16. Compare and convert imperial units of weight (ounces, pounds, tons).
CC.17. Select the appropriate imperial unit of volume for a given measurement.
CC.18. Compare and convert imperial units of volume (fluid ounces, cups, pints, quarts, gallons).
CC.19. Use conversion tables to convert between imperial units.
CC.20. Choose the appropriate measuring tool for a given task (ruler, scale, measuring cup, etc.).
CC.21. Estimate measurements using benchmarks.
CC.22. Solve real-world problems involving measurement conversions.

DD. Two-dimensional figures

DD.01. Identify polygons based on their attributes.
DD.02. Count and compare the number of sides and vertices in different polygons.
DD.03. Draw polygons with a specified number of sides and vertices.
DD.04. Determine if a given shape is a polygon.
DD.05. Distinguish between regular and irregular polygons.
DD.06. Plot points on a coordinate plane to draw a polygon.
DD.07. Identify lines, line segments, and rays.
DD.08. Compare angles to a right angle (greater than, less than, or equal to).
DD.09. Classify angles as acute, right, or obtuse.
DD.10. Measure angles using a protractor to classify them as acute, right or obtuse.
DD.11. Identify angles of 90, 180, 270, and 360 degrees.
DD.12. Identify parallel and perpendicular lines.
DD.13. Identify reflection, rotation, and translation transformations.
DD.14. Perform translations on geometric figures.
DD.15. Perform reflections on geometric figures.
DD.16. Identify congruent shapes.
DD.17. Recognize and identify symmetry in two-dimensional figures.
DD.18. Identify lines of symmetry in two-dimensional figures.
DD.19. Draw lines of symmetry on two-dimensional figures.
DD.20. Count the lines of symmetry in a two-dimensional figure.
DD.21. Create symmetrical designs.
DD.22. Apply geometric transformations to create tessellations.

EE. Triangles and quadrilaterals

EE.01. Classify triangles as acute, obtuse, or right based on their angles.
EE.02. Classify triangles as scalene, isosceles, or equilateral based on their side lengths.
EE.03. Identify parallel sides in quadrilaterals.
EE.04. Identify parallelograms based on their properties.
EE.05. Identify trapeziums based on their properties.
EE.06. Identify rectangles based on their properties.
EE.07. Identify rhombuses based on their properties.
EE.08. Classify quadrilaterals based on their attributes.
EE.09. Draw quadrilaterals with specific properties.
EE.10. Analyze the relationships between different types of quadrilaterals.
EE.11. Apply knowledge of geometric shapes to solve spatial reasoning problems.

FF. Perimeter and area

FF.01. Calculate the perimeter of rectangles.
FF.02. Calculate the perimeter of rectilinear shapes (shapes made up of straight lines).
FF.03. Calculate the perimeter of polygons.
FF.04. Determine the missing side length of a polygon given its perimeter.
FF.05. Solve word problems involving perimeter.
FF.06. Find the area of figures made of unit squares.
FF.07. Select figures that have a given area.
FF.08. Select two figures with the same area.
FF.09. Tile a rectangle with unit squares and find its area.
FF.10. Multiply to find the area of a rectangle made of unit squares.
FF.11. Create figures with a given area using unit squares.
FF.12. Create rectangles with a given area.
FF.13. Find the area of rectangles and squares using formulas.
FF.14. Find the missing side length of a rectangle given its area.
FF.15. Solve real-world problems involving area and perimeter.
FF.16. Justify the use of different units for area and perimeter.
FF.17. Explore the relationship between area and perimeter of different shapes.

GG. Three-dimensional figures

GG.01. Identify common three-dimensional shapes (cubes, spheres, cones, cylinders, prisms, pyramids).
GG.02. Count the number of vertices, edges, and faces on three-dimensional shapes.
GG.03. Identify the faces of three-dimensional shapes.
GG.04. Recognize three-dimensional shapes in real-world objects.
GG.05. Identify objects that have volume.
GG.06. Understand the concept of volume as the amount of space an object occupies.
GG.07. Visualize and draw three-dimensional shapes from different perspectives.
GG.08. Compare and contrast the properties of different three-dimensional shapes.

HH. Probability and statistics

HH.01. Determine if an event is more, less, or equally likely to occur.
HH.02. Classify events as certain, probable, unlikely, or impossible.
HH.03. Calculate the mean (average) of a set of data.
HH.04. Calculate the range of a set of data.
HH.05. Interpret charts to find the mean of a data set.
HH.06. Interpret charts to find the range of a data set.
HH.07. Design and conduct simple experiments to collect data.
HH.08. Use data to make predictions and draw conclusions.

Course Content

A. Numbers and Counting

A.01. Identify even and odd numbers within a given range.

A.02. Recognize ordinal numbers up to 100th and their corresponding positions.

A.03. Skip-count forward by 6, 7, and 9.

A.04. Convert numbers up to 10,000 between digit and word forms.

A.05. Complete skip-counting sequences and solve skip-counting puzzles.

A.06. Compare and order numbers up to 1,000.

A.07. Recognize and interpret Roman numerals.

A.08. Compare and order numbers up to 100,000.

A.09. Compare numbers in tables up to 100,000.

A.10. Compare numbers using addition and subtraction.

A.11. Solve multi-step inequalities involving number comparisons.

A.12. Apply knowledge of number comparison to solve real-world problems.

A.13. Create number sequences based on given rules.

A.14. Analyze complex number patterns and predict future elements.

B. Place Values

B.01. Identify the place value of digits up to the thousands place.

B.02. Convert numbers from standard to expanded form, and vice versa.

B.03. State the place value names up to the hundred thousands place.

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

B.05. Convert between different place values within a number.

B.06. Convert numbers to and from a given place value representation.

B.07. Solve place value word problems by applying understanding of digit values.

B.08. Apply place value understanding to compare and order numbers.

B.09. Use place value knowledge to round numbers to the nearest ten, hundred, or thousand.

C. Understand Multiplication

C.01. Model multiplication using arrays and number lines.

C.02. Count and group equal sets of objects.

C.03. Write multiplication sentences representing equal groups.

C.04. Identify multiplication expressions that represent equal groups.

C.05. Relate addition and multiplication through equal group scenarios.

C.06. Derive division facts from multiplication facts.

C.07. Create real-world problems involving multiplication.

D. Understand Division

D.02. Write division sentences for equal group scenarios.

D.03. Show relationship between multiplication and division in equal groups.

D.04. Write division sentences for arrays.

D.05. Relate multiplication and division for arrays.

D.06. Solve real world division problems using equal groups.

D.07. Create models to represent division problems.

D.01. Model division by separating objects into equal groups.

E. Multiplication Skill Builders

E.01. Understand the effect of multiplying by 0 and 1.

E.02. Multiply numbers by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

E.03. Recall multiplication facts for numbers 0-12 quickly and accurately.

E.04. Apply multiplication skills to solve simple word problems.

F. Division Skill Builders

F.01. Apply the rule for dividing by 1.

F.02. Divide numbers by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

F.03. Memorize division facts for numbers 2-12.

F.04. Solve basic division problems in real-world contexts.

F.05. Illustrate division with real world examples.

G. Multiplication Fluency

G.01. Recall multiplication facts for 2, 5, and 10.

G.02. Determine the truth or falsity of multiplication facts for 2, 5, and 10.

G.03. Sort multiplication facts for 2, 5, and 10.

G.04. Find the missing factor in multiplication facts for 2, 3, 4, 5, 6, and 10.

G.05. Recall multiplication facts for 3, 4, and 6.

G.06. Determine the truth or falsity of multiplication facts for 3, 4, and 6.

G.07. Sort multiplication facts for 3, 4, and 6.

G.08. Recall multiplication facts for 7, 8, and 9.

G.09. Determine the truth or falsity of multiplication facts for 7, 8, and 9.

G.10. Sort multiplication facts for 7, 8, and 9.

G.11. Find the missing factor in multiplication facts up to 10.

G.12. Select the missing factors in multiplication facts up to 10.

G.13. Determine the truth or falsity of multiplication sentences up to 10.

G.14. Recall all multiplication facts up to 10.

G.15. Sort multiplication facts up to 10.

G.16. Determine squares of numbers up to 10 x 10.

G.17. Recall all multiplication facts up to 12.

G.18. Determine the truth or falsity of multiplication facts up to 12.

G.19. Sort multiplication facts up to 12.

G.20. Find the missing factor in multiplication facts up to 12.

G.21. Select the missing factors in multiplication facts up to 12.

G.22. Determine the truth or falsity of multiplication sentences up to 12.

G.23. Apply multiplication skills to solve multi-step problems.

G.24. Use mental math strategies to calculate products quickly.

H. Division Fluency

H.01. Recall division facts for 2, 5, and 10.