UK MATH GRADE 5 – EDmama UK

A. Place Values and Number Sense

A.01. Identify place value names up to millions.
A.02. Determine the value of a digit in a number up to millions.
A.03. Convert numbers between standard and expanded form.
A.04. Convert between different place values within a number.
A.05. Write numbers up to 100,000 in words, converting digits to words.
A.06. Write numbers up to 100,000 in words, converting words to digits.
A.07. Write numbers up to one million in words, converting digits to words.
A.08. Write numbers up to one million in words, converting words to digits.
A.09. Compare numbers up to one hundred thousand using place value understanding.
A.10. Compare numbers up to one million using place value understanding.
A.11. Put numbers up to one hundred thousand in order.
A.12. Put numbers up to one million in order.
A.13. Identify ordinal numbers up to 100th and their uses.
A.14. Understand and use Roman numerals to represent numbers.
A.15. Round numbers to the nearest thousands place.
A.16. Round numbers to the nearest hundred thousands place.
A.17. Solve rounding puzzles involving multiple place values.
A.18. Determine if a number is even or odd and apply the arithmetic rules for even and odd numbers.
A.19. Apply place value understanding to solve real-world word problems.
A.20. Explain the significance of place value in everyday contexts.

B. Multiplication Fluency

B.01. Recall multiplication facts for 2, 3, 4, 5, 6, 8, and 10.
B.02. Identify the missing factor in multiplication facts for 2, 3, 4, 5, 6, 8, and 10.
B.03. Choose the multiples of 2, 3, 4, 5, 6, 8, and 10.
B.04. Recall multiplication facts up to 10.
B.05. Identify the missing factor in multiplication facts up to 10.
B.06. Choose the multiples of a given number up to 10.
B.07. Recall multiplication facts up to 12.
B.08. Identify the missing factor in multiplication facts up to 12.
B.09. Choose the multiples of a given number up to 12.
B.10. Apply multiplication facts to solve simple word problems.

C. Division Fluency

D. Addition

D.08. Add three or more numbers with up to three digits each.
D.09. Add numbers up to six digits.
D.10. Solve word problems involving the addition of numbers up to six digits.
D.11. Fill in the missing digits in addition problems up to six digits.
D.12. Add three or more numbers with up to six digits.
D.13. Choose numbers that result in a particular sum.
D.14. Estimate sums of numbers up to four digits.
D.15. Estimate sums of numbers up to six digits.
D.16. Estimate sums in word problems involving numbers up to six digits.
D.17. Explore the concept of estimation in real-world scenarios.
D.18. Use number sense to determine the reasonableness of sums.
D.01. Identify and apply the properties of addition (commutative, associative, identity).
D.02. Use addition properties to simplify calculations.
D.03. Recognize addition patterns over increasing place values (e.g., 3 + 4, 30 + 40, 300 + 400).
D.04. Add two three-digit numbers.
D.05. Solve word problems involving the addition of two three-digit numbers.
D.06. Complete addition sentences involving three-digit numbers.
D.07. Balance addition equations involving three-digit numbers.

E. Subtraction

E.01. Subtract three-digit numbers.
E.02. Solve word problems involving the subtraction of three-digit numbers.
E.03. Complete subtraction sentences involving three-digit numbers.
E.04. Balance subtraction equations involving three-digit numbers.
E.05. Subtract numbers up to six digits.
E.06. Solve word problems involving the subtraction of numbers up to six digits.
E.07. Fill in the missing digits in subtraction problems up to six digits.
E.08. Recognize subtraction patterns over increasing place values (e.g., 7 – 4, 70 – 40, 700 – 400).
E.09. Choose numbers that result in a particular difference.
E.10. Estimate differences of numbers up to four digits.
E.11. Estimate differences of numbers up to six digits.
E.12. Estimate differences in word problems involving numbers up to six digits.
E.13. Use subtraction to compare quantities in practical situations.
E.14. Verify the accuracy of subtraction calculations using estimation.

F. Multiply by One-Digit Numbers

F.01. Compare numbers using multiplication (e.g., “A is 3 times as much as B”).
F.02. Solve word problems involving the comparison of numbers using multiplication.
F.03. Multiply by multiples of 10, 100, and 1,000.
F.04. Recognize multiplication patterns over increasing place values (e.g., 2 x 3, 2 x 30, 2 x 300).
F.05. Identify and apply the properties of multiplication (commutative, associative, distributive, identity).
F.06. Estimate products when multiplying by 1-digit numbers.
F.07. Identify reasonable answers in estimation word problems involving multiplication by 1-digit numbers.
F.08. Multiply 1-digit numbers by 2-digit or 3-digit numbers using area models I.
F.09. Multiply 1-digit numbers by 2-digit or 3-digit numbers using area models II.
F.10. Multiply 1-digit numbers by 2-digit or 3-digit numbers using standard algorithm.
F.11. Solve word problems involving the multiplication of 1-digit numbers by 2-digit or 3-digit numbers.
F.12. Multiply 1-digit numbers by 4-digit numbers using area models.
F.13. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form.
F.14. Multiply 1-digit numbers by multi-digit numbers using partial products.
F.15. Multiply 1-digit numbers by 4-digit numbers using standard algorithm.
F.16. Solve word problems involving the multiplication of 1-digit numbers by 4-digit numbers.
F.17. Multiply 1-digit numbers by larger numbers using efficient strategies.
F.18. Explain the relationship between multiplication and repeated addition.

G. Multiply by Two-Digit Numbers

G.01. Multiply 2-digit numbers by 10 or 100.
G.02. Estimate products when multiplying by 2-digit numbers.
G.03. Solve word problems involving estimation with 2-digit multiplication.
G.04. Use one multiplication fact to complete another related fact.
G.05. Multiply 2-digit numbers by 2-digit numbers using area models I.
G.06. Multiply 2-digit numbers by 2-digit numbers using area models II.
G.07. Multiply 2-digit numbers by 2-digit numbers using partial products.
G.08. Complete the missing steps in the multiplication of 2-digit numbers by 2-digit numbers.
G.09. Multiply 2-digit numbers by 2-digit numbers using standard algorithm.
G.10. Solve word problems involving the multiplication of 2-digit numbers by 2-digit numbers.
G.11. Explore multiplication using box multiplication.
G.12. Explore multiplication using lattice multiplication.
G.13. Complete the missing steps in the multiplication of 2-digit numbers by 3-digit or 4-digit numbers.
G.14. Multiply 2-digit numbers by 3-digit or 4-digit numbers using standard algorithm.
G.15. Solve word problems involving the multiplication of 2-digit numbers by 3-digit or 4-digit numbers.
G.16. Choose numbers that result in a particular product.
G.17. Multiply numbers ending in zeroes (e.g., 20 x 30).
G.18. Solve word problems involving the multiplication of numbers ending in zeroes.
G.19. Multiply three numbers up to 2 digits each.
G.20. Solve word problems involving the multiplication of three or more numbers.
G.21. Solve inequalities involving multiplication.
G.22. Create real-world scenarios to represent 2-digit multiplication problems.

H. Division

H.01. Identify and apply the properties of division.
H.02. Divide 2-digit numbers by 1-digit numbers using arrays.
H.03. Divide 2-digit numbers by 1-digit numbers using area models.
H.04. Divide using repeated subtraction.
H.05. Divide using the distributive property.
H.06. Divide 2-digit numbers by 1-digit numbers, finding quotients up to 10.
H.07. Divide 2-digit numbers by 1-digit numbers using standard algorithm.
H.08. Solve word problems involving the division of 2-digit numbers by 1-digit numbers.
H.09. Complete tables involving the division of 2-digit numbers by 1-digit numbers.
H.10. Interpret remainders in division problems involving 2-digit numbers divided by 1-digit numbers.
H.11. Divide 3-digit numbers by 1-digit numbers using area models.
H.12. Divide using partial quotients.
H.13. Divide 3-digit numbers by 1-digit numbers using standard algorithm.
H.14. Solve word problems involving the division of 3-digit numbers by 1-digit numbers.
H.15. Divide 4-digit numbers by 1-digit numbers using standard algorithm.
H.16. Solve word problems involving the division of 4-digit numbers by 1-digit numbers.
H.17. Complete tables involving the division of larger numbers by 1-digit numbers.
H.18. Interpret remainders in division problems involving larger numbers divided by 1-digit numbers.
H.19. Choose numbers that result in a particular quotient.
H.20. Recognize division patterns over increasing place values (e.g., 6 / 2, 60 / 2, 600 / 2).
H.21. Divide numbers ending in zeroes by 1-digit numbers.
H.22. Estimate quotients using compatible numbers with 1-digit divisors.
H.23. Use estimation to compare quotients.
H.24. Solve estimation word problems involving division.
H.25. Divide numbers ending in zeroes.
H.26. Solve word problems involving the division of numbers ending in zeroes.
H.27. Solve inequalities involving division.
H.28. Create visual representations of division problems using manipulatives.

I. Mixed Operations

I.01. Write numerical expressions from verbal descriptions.
I.02. Mentally add and subtract numbers ending in zeroes.
I.03. Perform addition, subtraction, multiplication, and division calculations.
I.04. Complete input/output tables involving the addition and subtraction of powers of ten.
I.05. Use a given rule to complete an input/output table.
I.06. Identify the rule governing an input/output table.
I.07. Identify the rule and complete an input/output table.
I.08. Solve comparison word problems involving addition and subtraction.
I.09. Solve addition, subtraction, multiplication, and division word problems.
I.10. Estimate sums, differences, products, and quotients in word problems.
I.11. Choose numbers that satisfy a particular sum, difference, product, or quotient.
I.12. Solve inequalities involving addition, subtraction, multiplication, and division.
I.13. Solve word problems with extra or missing information.
I.14. Solve word problems using the guess-and-check strategy.
I.15. Solve multi-step addition and subtraction word problems.
I.16. Solve multi-step word problems involving multiple operations.
I.17. Solve multi-step word problems involving remainders.
I.18. Evaluate the reasonableness of answers in multi-step word problems.
I.19. Break down complex word problems into simpler steps.

J. Fractions and Mixed Numbers

J.01. Review basic fraction concepts (numerator, denominator, whole).
J.02. Solve word problems involving fractions of a whole.
J.03. Solve word problems involving fractions of a group.
J.04. Identify mixed numbers.
J.05. Find equivalent fractions using area models.
J.06. Graph equivalent fractions on number lines.
J.07. Identify equivalent fractions.
J.08. Find the missing numerator or denominator in equivalent fractions.
J.09. Graph fractions equivalent to 1 on number lines.
J.10. Select fractions equivalent to whole numbers using models.
J.11. Represent fractions with denominators of 10 and 100.
J.12. Represent fractions and mixed numbers with denominators of 10 and 100.
J.13. Recognize and extend patterns of equivalent fractions.
J.14. Write fractions in lowest terms (simplifying).
J.15. Compare fractions with the same numerator or denominator using models.
J.16. Graph and compare fractions with the same numerator or denominator on number lines.
J.17. Compare fractions with the same numerator or denominator.
J.18. Compare fractions with different denominators using models.
J.19. Compare fractions with different denominators.
J.20. Graph and order fractions with the same numerator or denominator on number lines.
J.21. Order fractions with the same numerator or denominator.
J.22. Order fractions with different denominators.
J.23. Identify smaller or larger fractions from a set.
J.24. Convert between improper fractions and mixed numbers.
J.25. Relate division and fractions.
J.26. Understand fractions as division in word problems.
J.27. Explain real-world scenarios where fractions are used as division.

K. Add and Subtract Fractions with the Same Denominator

K.01. Decompose fractions in multiple ways (e.g., 3/4 = 1/4 + 1/4 + 1/4).
K.02. Add fractions with the same denominator using area models.
K.03. Add fractions with the same denominator using bar models.
K.04. Add fractions with the same denominator using number lines.
K.05. Add fractions with the same denominator.
K.06. Subtract fractions with the same denominator using area models.
K.07. Subtract fractions with the same denominator using bar models.
K.08. Subtract fractions with the same denominator using number lines.
K.09. Subtract fractions with the same denominator.
K.10. Add and subtract fractions with the same denominator using number lines.
K.11. Add and subtract fractions with the same denominator.
K.12. Solve word problems involving the addition and subtraction of fractions with the same denominator.
K.13. Add three or more fractions with the same denominator.
K.14. Solve word problems involving the addition of three or more fractions with the same denominator.
K.15. Add and subtract mixed numbers with the same denominator.
K.16. Solve word problems involving the addition and subtraction of mixed numbers with the same denominator.
K.17. Complete addition and subtraction sentences with fractions.
K.18. Visualise fraction addition and subtraction using concrete materials.

L. Add and Subtract Fractions with Different Denominators

L.01. Add up to 4 fractions with denominators of 10 and 100.
L.02. Add fractions with different denominators using models.
L.03. Add fractions with different denominators using common denominators.
L.04. Subtract fractions with different denominators using models.
L.05. Subtract fractions with different denominators using common denominators.
L.06. Add and subtract fractions with different denominators.
L.07. Solve word problems involving the addition and subtraction of fractions with different denominators.
L.08. Add three or more fractions with different denominators.
L.09. Solve word problems involving the addition of three or more fractions with different denominators.
L.10. Add and subtract mixed numbers with different denominators.
L.11. Solve word problems involving the addition and subtraction of mixed numbers with different denominators.
L.12. Explain the importance of finding common denominators when adding/subtracting fractions.

M. Multiply Fractions

M.01. Multiply unit fractions by whole numbers using number lines.
M.02. Multiply unit fractions by whole numbers using models.
M.03. Identify missing numbers in multiples of unit fractions.
M.04. Sort multiplication problems involving unit fractions and whole numbers.
M.05. Multiply unit fractions by whole numbers using standard algorithm.
M.06. Solve word problems involving the multiplication of unit fractions by whole numbers.
M.07. Multiply fractions by whole numbers using number lines.
M.08. Multiply fractions by whole numbers using models.
M.09. Complete equations for multiplying fractions by whole numbers using models.
M.10. Identify missing numbers in multiples of fractions.
M.11. Sort multiplication problems involving fractions and whole numbers.
M.12. Multiply fractions by whole numbers using standard algorithm.
M.13. Solve word problems involving the multiplication of fractions by whole numbers.
M.14. Determine fractions of a number.
M.15. Solve word problems involving fractions of a number.
M.16. Demonstrate understanding of multiplying fractions using real-world examples.

N. Decimals up to Hundredths

N.01. Identify the decimal number represented by a model.
N.02. Model decimals and fractions using visual aids.
N.03. Understand and write decimals expressed in words up to hundredths.
N.04. Identify place values in decimal numbers up to hundredths.
N.05. Determine one-tenth or one-hundredth more or less than a given decimal.
N.06. Identify equivalent decimals up to hundredths.
N.07. Graph decimals on number lines.
N.08. Use decimal number lines to compare and order decimals.
N.09. Graph fractions as decimals on number lines.
N.10. Convert fractions to decimals up to hundredths.
N.11. Convert decimals to fractions up to hundredths.
N.12. Convert decimals between standard and expanded form using fractions up to hundredths.
N.13. Round decimals to the nearest whole number or tenth.
N.14. Compare decimals using models.
N.15. Compare decimals on number lines.
N.16. Compare decimal numbers up to hundredths.
N.17. Put decimal numbers in order I: up to hundredths.
N.18. Put decimal numbers in order II: up to hundredths.
N.19. Compare positive and negative decimals up to tenths.
N.20. Put positive and negative decimals in order up to tenths.
N.21. Compare decimals and fractions on number lines.
N.22. Compare decimals and fractions up to hundredths.
N.23. Recognize and extend number sequences involving decimals.
N.24. Relate decimals to real-world contexts such as money and measurement.

O. Decimals up to Thousandths

O.01. Understand and write decimals expressed in words up to thousandths.
O.02. Identify place values in decimal numbers up to thousandths.
O.03. Explain the relationship between decimal place values (tenths, hundredths, thousandths).
O.04. Identify equivalent decimals up to thousandths.
O.05. Convert fractions and mixed numbers to decimals up to thousandths.
O.06. Convert decimals to fractions and mixed numbers up to thousandths.
O.07. Convert decimals between standard and expanded form using fractions up to thousandths.
O.08. Compare decimal numbers up to thousandths.
O.09. Put decimal numbers in order I: up to thousandths.
O.10. Put decimal numbers in order II: up to thousandths.
O.11. Solve word problems involving comparing, ordering, and rounding decimals.
O.12. Compare decimals and fractions up to thousandths.
O.13. Use decimals to represent precise measurements and data.

P. Add and Subtract Decimals

P.01. Add decimal numbers up to tenths.
P.02. Subtract decimal numbers up to tenths.
P.03. Add decimal numbers using blocks.
P.04. Add decimal numbers up to hundredths.
P.05. Subtract decimal numbers up to hundredths.
P.06. Add and subtract decimal numbers up to hundredths.
P.07. Solve word problems involving the addition and subtraction of decimals up to hundredths.
P.08. Add decimal numbers up to thousandths.
P.09. Subtract decimal numbers up to thousandths.
P.10. Add and subtract decimal numbers up to thousandths.
P.11. Solve word problems involving the addition and subtraction of decimals up to thousandths.
P.12. Choose decimals that result in a particular sum or difference.
P.13. Add three or more decimals.
P.14. Solve word problems involving the addition of three or more decimals.
P.15. Complete addition or subtraction sentences with decimals.
P.16. Solve inequalities involving addition and subtraction of decimals.
P.17. Estimate sums and differences of decimals.
P.18. Solve decimal problems using diagrams.
P.19. Assess the reasonableness of sums and differences in real-world decimal problems.

Q. Multiply and Divide Decimals

R. Percents and Ratios

R.01. Identify the percentage represented by a visual illustration.
R.02. Understand percents using bar models.
R.03. Convert fractions to percents using grid models.
R.04. Convert percents to fractions and decimals.
R.05. Convert between percents, fractions, and decimals.
R.06. Solve word problems involving conversions between percents, fractions, and decimals.
R.07. Compare percents to each other and to fractions.
R.08. Solve word problems involving the comparison of percents and fractions.
R.09. Calculate the percent of a number.
R.10. Solve word problems involving finding the percent of a number.
R.11. Compare percents of different numbers.
R.12. Write a ratio to compare two quantities.
R.13. Identify the model that represents a given ratio.
R.14. Calculate unit rates.
R.15. Explain how percents and ratios can be used in everyday situations, like shopping and cooking.

S. Indices

T. Number Theory

T.01. Apply divisibility rules for common numbers (e.g., 2, 3, 5, 10).
T.02. Solve word problems involving divisibility rules.
T.03. Identify factors of a given number.
T.04. Find all the factor pairs of a number.
T.05. Distinguish between prime and composite numbers up to 10.
T.06. Distinguish between prime and composite numbers up to 20.
T.07. Distinguish between prime and composite numbers up to 100.
T.08. Determine the prime factorization of a number.
T.09. Find the highest common factor of two or more numbers.
T.10. Recognize and identify square numbers.
T.11. Explore how number theory concepts are used in cryptography and coding.

U. Integers

V. Equations and Variables

V.01. Write variable expressions to represent mathematical relationships.
V.02. Write variable expressions to represent word problems.
V.03. Evaluate variable expressions by substituting values for variables.
V.04. Write variable equations to represent word problems.
V.05. Solve for the variable in equations involving addition and subtraction.
V.06. Solve for the variable in equations involving multiplication and division.
V.07. Solve for the variable in equations involving addition, subtraction, multiplication, and division.
V.08. Complete a table for a two-variable relationship.
V.09. Write a two-variable equation to represent a relationship described in a table.
V.10. Explain the importance of variables in representing unknown quantities.

W. Units of Measurement

W.01. Read a thermometer and interpret temperature readings in Celsius and Fahrenheit.
W.02. Compare temperatures above and below zero.
W.03. Calculate temperature differences.
W.04. Choose the appropriate metric unit of measure for length, mass, or volume.
W.05. Compare and convert metric units of length (e.g., meters, centimeters, millimeters).
W.06. Compare and convert metric units of mass (e.g., grams, kilograms).
W.07. Compare and convert metric units of volume (e.g., liters, milliliters).
W.08. Work with metric mixed units (e.g., 1 meter 25 centimeters).
W.09. Add and subtract metric mixed units.
W.10. Choose the appropriate imperial unit of measure for length, weight, or volume.
W.11. Compare and convert imperial units of length (e.g., inches, feet, yards).
W.12. Compare and convert imperial units of weight (e.g., ounces, pounds).
W.13. Compare and convert imperial units of volume (e.g., fluid ounces, cups, pints, quarts, gallons).
W.14. Work with imperial mixed units (e.g., 2 feet 6 inches).
W.15. Convert between metric and imperial units (approximate conversions).
W.16. Estimate measurements using appropriate units and tools.

X. Time

X.01. Match analogue and digital clocks to show the same time.
X.02. Read clocks and write times in both analogue and digital formats.
X.03. Convert between different time units (seconds, minutes, hours, days, weeks, months, years).
X.04. Add and subtract mixed time units (e.g., 2 hours 30 minutes + 1 hour 15 minutes).
X.05. Calculate fractions of time units (e.g., what is 1/2 hour in minutes?).
X.06. Calculate elapsed time: find the end time given the start time and duration.
X.07. Calculate elapsed time: find the total elapsed time between two given times.
X.08. Solve elapsed time word problems: find the end time.
X.09. Solve elapsed time word problems: find the elapsed time.
X.10. Solve multi-step word problems involving finding start and end times.
X.11. Convert between 12-hour and 24-hour time formats.
X.12. Determine time zone differences using 12-hour time.
X.13. Determine time zone differences using 24-hour time.
X.14. Interpret transportation schedules using 12-hour time.
X.15. Interpret transportation schedules using 24-hour time.
X.16. Recognize and extend time patterns.
X.17. Use calendars to plan and schedule events.

Y. Data and Graphs

Y.01. Read and interpret data presented in a table.
Y.02. Interpret tally charts.
Y.03. Interpret data presented in line graphs.
Y.04. Create line graphs from given data.
Y.05. Interpret data presented in bar graphs.
Y.06. Interpret bar graphs to solve multi-step problems.
Y.07. Create bar graphs from given data.
Y.08. Interpret bar graphs for grouped data.
Y.09. Create bar graphs for grouped data.
Y.10. Interpret data presented in line plots.
Y.11. Create line plots from given data.
Y.12. Interpret data presented in frequency charts.
Y.13. Create frequency charts from given data.
Y.14. Interpret data presented in stem-and-leaf plots.
Y.15. Create stem-and-leaf plots from given data.
Y.16. Interpret data presented in pie charts.
Y.17. Choose the best type of graph to represent a given data set.
Y.18. Explain the advantages and disadvantages of different types of graphs.

Z. Probability and Statistics

Z.01. Understand the basic concept of probability.
Z.02. Calculate the probability of a simple event.
Z.03. Make predictions based on probability.
Z.04. Find the mode of a data set.
Z.05. Calculate the mean (average) of a data set.
Z.06. Find the median of a data set.
Z.07. Calculate the range of a data set.
Z.08. Interpret charts to find the mode.
Z.09. Interpret charts to find the mean.
Z.10. Interpret charts to find the median.
Z.11. Interpret charts to find the range.
Z.12. Distinguish between mean, median, and mode, and understand when each is most appropriate.

AA. Geometric Measurement

AA.01. Find the perimeter of rectangles using formulas.
AA.02. Calculate the perimeter of rectilinear shapes.
AA.03. Calculate the perimeter of polygons.
AA.04. Calculate the perimeter of polygons with decimal side lengths.
AA.05. Calculate the missing side lengths of a polygon given its perimeter.
AA.06. Solve word problems involving perimeter.
AA.07. Find the area of figures made of unit squares.
AA.08. Select figures with a given area.
AA.09. Select two figures with the same area.
AA.10. Multiply to find the area of a rectangle made of unit squares.
AA.11. Create figures with a given area.
AA.12. Create rectangles with a given area.
AA.13. Find the area of rectangles and squares using formulas.
AA.14. Compare the areas of rectangles and squares.
AA.15. Find the missing side length of a rectangle given its area.
AA.16. Solve word problems involving area.
AA.17. Find the area of complex figures by decomposing them into simpler shapes.
AA.18. Find the area between two rectangles.
AA.19. Solve word problems involving both area and perimeter.
AA.20. Use area and perimeter to determine the cost of materials.
AA.21. Determine the volume of cuboids made of unit cubes.
AA.22. Determine the volume of irregular figures made of unit cubes.
AA.23. Apply area and volume calculations to solve real-world design problems.

BB. Two-Dimensional Figures

BB.01. Identify two-dimensional figures based on their properties.
BB.02. Determine if a given figure is a polygon.
BB.03. Distinguish between regular and irregular polygons.
BB.04. Identify the number of sides in various polygons.
BB.05. Graph triangles and quadrilaterals on a coordinate plane.
BB.06. Identify and differentiate between lines, line segments, and rays.
BB.07. Identify parallel, perpendicular, and intersecting lines.
BB.08. Classify triangles based on their angles and sides.
BB.09. Identify congruent figures.
BB.10. Explore the use of geometric shapes in art, architecture, and design.

CC. Three-Dimensional Figures

DD. Angles

DD.01. Identify acute, right, obtuse, and straight angles.
DD.02. Recognize angles as fractions of a circle.
DD.03. Use fractions to find the measure of an angle.
DD.04. Understand angles of 90, 180, 270, and 360 degrees.
DD.05. Measure angles on a circle.
DD.06. Measure angles with a protractor.
DD.07. Draw angles with a protractor.
DD.08. Estimate angle measurements.
DD.09. Relate angles to real-world objects and structures.

EE. Symmetry and Transformations

EE.01. Identify lines of symmetry in two-dimensional figures.
EE.02. Draw lines of symmetry in two-dimensional figures.
EE.03. Count the number of lines of symmetry in a figure.
EE.04. Determine if a figure has rotational symmetry.
EE.05. Identify reflections, rotations, and translations.
EE.06. Perform translations on a coordinate plane.
EE.07. Perform reflections on a coordinate plane.
EE.08. Perform rotations on a coordinate plane.
EE.09. Recognize and identify combinations of reflections, rotations, and translations.
EE.10. Explore how symmetry and transformations are used in art, design, and nature.

FF. Coordinate Plane

GG. Patterns and Sequences

GG.01. Use a given rule to complete a number pattern.
GG.02. Identify patterns of addition in number sequences.
GG.03. Identify patterns of multiplication in number sequences.
GG.04. Identify mistakes in given number patterns.
GG.05. Complete an increasing number pattern.
GG.06. Complete a geometric number pattern.
GG.07. Solve word problems involving number patterns.
GG.08. Solve mixed review problems involving various number patterns.
GG.09. Recognize and extend shape patterns.
GG.10. Use patterns to make predictions and solve problems.

Course Content

A. Place Values and Number Sense

A.01. Identify place value names up to millions.

A.02. Determine the value of a digit in a number up to millions.

A.03. Convert numbers between standard and expanded form.

A.04. Convert between different place values within a number.

A.05. Write numbers up to 100,000 in words, converting digits to words.

A.06. Write numbers up to 100,000 in words, converting words to digits.

A.07. Write numbers up to one million in words, converting digits to words.

A.08. Write numbers up to one million in words, converting words to digits.

A.09. Compare numbers up to one hundred thousand using place value understanding.

A.10. Compare numbers up to one million using place value understanding.

A.11. Put numbers up to one hundred thousand in order.

A.12. Put numbers up to one million in order.

A.13. Identify ordinal numbers up to 100th and their uses.

A.14. Understand and use Roman numerals to represent numbers.

A.15. Round numbers to the nearest thousands place.

A.16. Round numbers to the nearest hundred thousands place.

A.17. Solve rounding puzzles involving multiple place values.

A.18. Determine if a number is even or odd and apply the arithmetic rules for even and odd numbers.

A.19. Apply place value understanding to solve real-world word problems.

A.20. Explain the significance of place value in everyday contexts.

B. Multiplication Fluency

B.01. Recall multiplication facts for 2, 3, 4, 5, 6, 8, and 10.

B.02. Identify the missing factor in multiplication facts for 2, 3, 4, 5, 6, 8, and 10.

B.03. Choose the multiples of 2, 3, 4, 5, 6, 8, and 10.

B.04. Recall multiplication facts up to 10.

B.05. Identify the missing factor in multiplication facts up to 10.

B.06. Choose the multiples of a given number up to 10.

B.07. Recall multiplication facts up to 12.

B.08. Identify the missing factor in multiplication facts up to 12.

B.09. Choose the multiples of a given number up to 12.

B.10. Apply multiplication facts to solve simple word problems.

C. Division Fluency

C.01. Recall division facts for 2, 3, 4, 5, 6, 8, and 10.

C.02. Recall division facts up to 10.

C.03. Solve word problems using division facts up to 10.

C.04. Recall division facts up to 12.

C.05. Solve word problems using division facts up to 12.

C.06. Explain the relationship between multiplication and division.

D. Addition

D.08. Add three or more numbers with up to three digits each.

D.09. Add numbers up to six digits.

D.10. Solve word problems involving the addition of numbers up to six digits.

D.11. Fill in the missing digits in addition problems up to six digits.

D.12. Add three or more numbers with up to six digits.

D.13. Choose numbers that result in a particular sum.

D.14. Estimate sums of numbers up to four digits.

D.15. Estimate sums of numbers up to six digits.

D.16. Estimate sums in word problems involving numbers up to six digits.

D.17. Explore the concept of estimation in real-world scenarios.

D.18. Use number sense to determine the reasonableness of sums.

D.01. Identify and apply the properties of addition (commutative, associative, identity).

D.02. Use addition properties to simplify calculations.

D.03. Recognize addition patterns over increasing place values (e.g., 3 + 4, 30 + 40, 300 + 400).

D.04. Add two three-digit numbers.

D.05. Solve word problems involving the addition of two three-digit numbers.

D.06. Complete addition sentences involving three-digit numbers.

D.07. Balance addition equations involving three-digit numbers.

E. Subtraction

E.01. Subtract three-digit numbers.

E.02. Solve word problems involving the subtraction of three-digit numbers.

E.03. Complete subtraction sentences involving three-digit numbers.

E.04. Balance subtraction equations involving three-digit numbers.

E.05. Subtract numbers up to six digits.

E.06. Solve word problems involving the subtraction of numbers up to six digits.

E.07. Fill in the missing digits in subtraction problems up to six digits.

E.08. Recognize subtraction patterns over increasing place values (e.g., 7 – 4, 70 – 40, 700 – 400).

E.09. Choose numbers that result in a particular difference.

E.10. Estimate differences of numbers up to four digits.

E.11. Estimate differences of numbers up to six digits.

E.12. Estimate differences in word problems involving numbers up to six digits.

E.13. Use subtraction to compare quantities in practical situations.

E.14. Verify the accuracy of subtraction calculations using estimation.

F. Multiply by One-Digit Numbers

F.01. Compare numbers using multiplication (e.g., “A is 3 times as much as B”).

F.02. Solve word problems involving the comparison of numbers using multiplication.

F.03. Multiply by multiples of 10, 100, and 1,000.

F.04. Recognize multiplication patterns over increasing place values (e.g., 2 x 3, 2 x 30, 2 x 300).

F.05. Identify and apply the properties of multiplication (commutative, associative, distributive, identity).