UK MATH GRADE 7 – EDmama UK

A. Whole Numbers

A.01. Recognize and identify place values within whole numbers.
A.02. Express whole numbers in word form.
A.03. Round whole numbers to a specified place value.
A.04. Translate Roman numerals into Arabic numerals and vice versa.
A.05. Solve word problems involving addition and subtraction of whole numbers.
A.06. Perform addition and subtraction operations with whole numbers accurately.
A.07. Apply addition and subtraction of whole numbers to real-world scenarios.

B. Addition and Subtraction of Decimals

C. Fractions and Mixed Numbers

C.01. Review the basic concepts of fractions and mixed numbers.
C.02. Convert decimals to fractions and mixed numbers.
C.03. Write fractions in their lowest terms (simplest form).
C.04. Compare fractions with both the same and different denominators.
C.05. Convert between improper fractions and mixed numbers fluently.
C.06. Order a mix of decimals, fractions, and mixed numbers.
C.07. Apply understanding of fractions to solve related word problems.
C.08. Convert fractions to terminating and recurring decimals.
C.09. Understand and interpret fractions as division in word problems.

D. Multiplication

E. Division

E.01. Apply divisibility rules to determine if a number is divisible by another.
E.02. Divide numbers ending in zeroes.
E.03. Estimate quotients of division problems.
E.04. Solve word problems involving division of numbers ending in zeroes.
E.05. Divide whole numbers using two-digit divisors.
E.06. Divide whole numbers using three-digit divisors.
E.07. Relate division to real-world sharing and grouping problems.
E.08. Recognize and apply division patterns with zeroes in various contexts.

F. Add and Subtract Fractions

F.01. Add and subtract fractions with the same denominator using number lines.
F.02. Add and subtract fractions with the same denominator.
F.03. Add and subtract mixed numbers with the same denominator.
F.04. Add fractions with different denominators using models.
F.05. Subtract fractions with different denominators using models.
F.06. Add and subtract fractions with different denominators.
F.07. Complete addition and subtraction number sentences with fractions.
F.08. Estimate sums and differences of mixed numbers.
F.09. Add and subtract mixed numbers.
F.10. Solve word problems involving addition and subtraction of fractions with different denominators.
F.11. Recognize and use inequalities with addition and subtraction of fractions.
F.12. Solve word problems involving addition and subtraction of mixed numbers.
F.13. Recognize and use inequalities with addition and subtraction of mixed numbers.

G. Multiply Fractions

G.01. Multiply fractions by whole numbers using number lines.
G.02. Identify the correct model for multiplying fractions by whole numbers.
G.03. Multiply fractions by whole numbers using models and complete the equation.
G.04. Sort problems that involves multiplying fractions and whole numbers.
G.05. Calculate fractions of a number.
G.06. Estimate products of fractions and whole numbers.
G.07. Multiply two fractions using models.
G.08. Multiply two fractions.
G.09. Complete the fraction multiplication number sentence.
G.10. Scaling whole numbers by fractions.
G.11. Solve word problems related to fractions of a number.
G.12. Multiply fractions and whole numbers.
G.13. Multiply three or more fractions and whole numbers.
G.14. Multiply mixed numbers and whole numbers.
G.15. Multiply mixed numbers.
G.16. Estimate products of fractions, whole numbers and mixed numbers.
G.17. Relate fraction multiplication to real-world scaling and sharing situations.

H. Divide Fractions

H.09. Divide two fractions.
H.10. Divide fractions and mixed numbers.
H.11. Solve word problems involving division of fractions and mixed numbers.
H.12. Relate fraction division to real-world sharing and grouping problems with fractional amounts.
H.01. Divide unit fractions by whole numbers using models.
H.02. Divide unit fractions by whole numbers.
H.03. Divide whole numbers by unit fractions using models.
H.04. Divide whole numbers by unit fractions.
H.05. Divide unit fractions and whole numbers using area models.
H.06. Divide whole numbers and unit fractions.
H.07. Divide fractions by whole numbers.
H.08. Divide whole numbers by fractions.

I. Decimals

I.01. Identify the decimal number illustrated by a model.
I.02. Recognize and state decimal place values.
I.03. Express decimal numbers in word form.
I.04. Place decimal numbers in order from least to greatest.
I.05. Use inequalities to compare decimal numbers.
I.06. Round decimals to a specified place value.
I.07. Locate decimal numbers on a number line.
I.08. Find the missing digit when rounding whole numbers and decimals.
I.09. Relate decimals to real-world measurements and quantities.

J. Number Theory

J.01. Define and identify multiplicative inverses (reciprocals).
J.02. Distinguish between prime and composite numbers.
J.03. Identify all the factors of a given number.
J.04. Find all the factor pairs of a number.
J.05. Determine the prime factorization of a number.
J.06. Express prime factorization using indices (exponents).
J.07. Calculate the highest common factor (HCF) of two or more numbers.
J.08. Calculate the lowest common multiple (LCM) of two or more numbers.
J.09. Apply HCF and LCM to solve real-world word problems.
J.10. Relate number theory concepts to patterns and relationships in mathematics.

K. Indices and Square Roots

K.01. Write repeated multiplication expressions using indices (exponents).
K.02. Evaluate indices (powers) with whole number bases.
K.03. Find the missing index or base in an exponential expression.
K.04. Evaluate indices with decimal bases.
K.05. Evaluate indices with fractional bases.
K.06. Evaluate indices with whole number, decimal, and fractional bases.
K.07. Find the square roots of perfect squares.
K.08. Understand and explain the relationship between squares and square roots.
K.09. Apply indices and square roots in basic algebraic expressions.

L. Ratios and Rates

L.01. Write a ratio to compare two quantities.
L.02. Solve word problems involving writing ratios.
L.03. Identify the model that correctly represents a given ratio.
L.04. Identify equivalent ratios.
L.05. Write an equivalent ratio for a given ratio.
L.06. Solve word problems involving equivalent ratios.
L.07. Complete and use ratio tables to find equivalent ratios.
L.08. Calculate unit rates from given information.
L.09. Identify equivalent rates.
L.10. Use bar diagrams to solve ratio word problems.
L.11. Compare ratios in word problems.
L.12. Compare rates in word problems.
L.13. Solve various word problems involving ratios and rates.
L.14. Determine if two ratios form a proportion.
L.15. Solve proportions.
L.16. Solve scale drawing problems: scale factor word problems.
L.17. Relate ratios and rates to real-world comparisons and conversions.
L.18. Apply knowledge of ratios to solve word problems.

M. Percents

M.01. Identify the percentage illustrated in a given visual representation.
M.02. Convert between percentages, fractions, and decimals.
M.03. Compare percents to each other and to fractions.
M.04. Solve percent problems using grid models.
M.05. Solve percent problems using bar models.
M.06. Estimate percentages of numbers.
M.07. Calculate percentages of numbers and money amounts.
M.08. Find what percent one number is of another.
M.09. Apply percentages to solve real-world word problems.
M.10. Solve percent equations: word problems.
M.11. Relate percentages to real-world discounts, taxes, and interest rates.
M.12. Convert between percents, fractions and decimals: word problems.
M.13. Compare percents and fractions: word problems.

N. Units of Measurement

N.01. Estimate metric measurements for length, mass, and volume.
N.02. Convert and compare metric units of length, mass, and volume.
N.03. Solve multi-step problems involving metric unit conversions.
N.04. Work with metric mixed units (e.g., 1 m 25 cm).
N.05. Convert square and cubic units of length (e.g., cm² to m²).
N.06. Convert between cubic meters and liters.
N.07. Compare temperatures above and below zero using Celsius.
N.08. Estimate imperial measurements for length, weight, and volume.
N.09. Convert and compare imperial units of length, weight, and volume.
N.10. Work with imperial mixed units (e.g., 5 ft 3 in).
N.11. Convert between metric and imperial units (approximate conversions).
N.12. Understand the concept of precision in measurement.
N.13. Apply measurement conversions in practical problem-solving contexts.

O. Integers

P. Add and Subtract Integers

P.01. Add integers using number lines as a visual aid.
P.02. Add integers using counters.
P.03. Apply integer addition rules to find sums.
P.04. Add integers.
P.05. Add three or more integers.
P.06. Subtract integers using number lines as a visual aid.
P.07. Subtract integers using counters.
P.08. Apply integer subtraction rules to find differences.
P.09. Subtract integers.
P.10. Combine integer addition and subtraction rules.
P.11. Add and subtract integers.
P.12. Complete addition and subtraction equations with integers by finding missing values.
P.13. Solve word problems involving addition and subtraction of integers.
P.14. Interpret and complete addition and subtraction input/output tables involving integers.
P.15. Relate integer operations to real-world contexts involving gains, losses, and changes in temperature.

Q. Multiply and Divide Integers

Q.01. Understand multiplying by a negative integer using a number line.
Q.02. State and apply integer multiplication rules.
Q.03. Multiply integers.
Q.04. State and apply integer division rules.
Q.05. Divide integers.
Q.06. Apply combined integer multiplication and division rules.
Q.07. Multiply and divide integers.
Q.08. Complete multiplication and division equations with integers by finding missing values.
Q.09. Relate integer operations to real-world contexts.

R. Rational Numbers

S. Mixed Operations

S.01. Add, subtract, multiply, or divide two whole numbers.
S.02. Evaluate simple numerical expressions involving different operations.
S.03. Evaluate numerical expressions involving whole numbers, following order of operations (PEMDAS/BODMAS).
S.04. Add, subtract, multiply or divide two decimals.
S.05. Evaluate numerical expressions involving decimals, following order of operations (PEMDAS/BODMAS).
S.06. Add, subtract, multiply or divide two fractions.
S.07. Evaluate numerical expressions involving fractions, following order of operations (PEMDAS/BODMAS).
S.08. Add, subtract, multiply or divide two integers.
S.09. Evaluate numerical expressions involving integers, following order of operations (PEMDAS/BODMAS).
S.10. Identify mistakes involving the order of operations.
S.11. Apply mixed operations to solve real-world problems.
S.12. Add, subtract, multiply or divide two whole numbers: word problems.
S.13. Add, subtract, multiply or divide two decimals: word problems.
S.14. Add, subtract, multiply or divide two fractions: word problems.

T. Problem Solving and Estimation

T.01. Use estimation to solve word problems.
T.02. Solve multi-step word problems.
T.03. Evaluate the reasonableness of answers in multi-step word problems.
T.04. Solve word problems with extra or missing information.
T.05. Use the guess-and-check strategy to solve word problems.
T.06. Determine distance/direction to starting point based on given movements.
T.07. Apply logical reasoning to determine the order of events or items.
T.08. Develop and apply problem-solving strategies in various mathematical contexts.

U. Time

U.01. Calculate elapsed time between two given times.
U.02. Convert between different units of time (seconds, minutes, hours, days).
U.03. Find start and end times given elapsed time.
U.04. Convert between 12-hour and 24-hour time formats.
U.05. Determine time differences between different time zones (12-hour time).
U.06. Determine time differences between different time zones (24-hour time).
U.07. Interpret transportation schedules (e.g., bus, train, airplane).
U.08. Apply time calculations to real-world scheduling and planning problems.

V. Coordinate Plane

W. Symmetry and Transformations

W.01. Identify and create figures with line symmetry.
W.02. Identify and describe figures with rotational symmetry.
W.03. Identify reflections, rotations, and translations of geometric figures.
W.04. Perform translations of figures on a coordinate plane and graph the image.
W.05. Determine the coordinates of translated figures.
W.06. Write the rule for a given translation.
W.07. Identify congruent figures.
W.08. Write congruence statements and identify corresponding parts of congruent figures.
W.09. Relate side lengths and angle measures of congruent figures.
W.10. Apply transformations to create tessellations and patterns.

X. Two-Dimensional Figures

X.01. Identify and classify polygons based on their properties.
X.02. Measure angles using a protractor.
X.03. Classify angles as acute, obtuse, right, or straight.
X.04. Estimate angle measurements without a protractor.
X.05. Classify triangles based on their angles and sides.
X.06. Classify quadrilaterals based on their properties (parallelogram, rectangle, square, rhombus, trapezoid).
X.07. Graph triangles and quadrilaterals on a coordinate plane.
X.08. Find missing angles in triangles using angle sum property.
X.09. Find missing angles in quadrilaterals using angle sum property.
X.10. Determine the sum of angles in polygons.
X.11. Identify and differentiate between lines, line segments, and rays.
X.12. Name angles using proper notation.
X.13. Identify vertical and supplementary angles.
X.14. Find measures of vertical and supplementary angles.
X.15. Identify angle pairs formed by transversals of parallel lines (corresponding, alternate interior, etc.).
X.16. Find angle measures when transversals intersect parallel lines.
X.17. Find lengths and measures of bisected line segments and angles.
X.18. Identify the different parts of a circle (radius, diameter, chord, arc).
X.19. Understand the concept of central angles of circles.
X.20. Apply geometric properties to solve real-world problems involving shapes and angles.

Y. Three-Dimensional Figures

Z. Geometric Measurement

Z.01. Calculate the perimeter of polygons.
Z.02. Calculate the area of squares and rectangles.
Z.03. Understand the relationship between the base, height, and area of a triangle.
Z.04. Calculate the area of triangles.
Z.05. Understand the relationship between the base, height, and area of a parallelogram.
Z.06. Calculate the area of parallelograms.
Z.07. Understand the relationship between the bases, height, and area of a trapezium.
Z.08. Calculate the area of trapeziums.
Z.09. Calculate the area of rhombuses.
Z.10. Calculate the area of general quadrilaterals.
Z.11. Calculate the area of compound figures (shapes made of multiple rectangles and triangles).
Z.12. Calculate the area of compound figures with triangles.
Z.13. Calculate the area between two rectangles.
Z.14. Calculate the area between two triangles.
Z.15. Solve word problems involving area and perimeter of squares and rectangles.
Z.16. Describe the relationship between perimeter and area of rectangles.
Z.17. Compare area and perimeter of two figures.
Z.18. Calculate the volume of cubes and cuboids.
Z.19. Solve word problems involving volume of cubes and cuboids.
Z.20. Apply geometric measurement to real-world design and construction problems.

AA. Data and Graphs

AA.01. Interpret information presented in pictograms.
AA.02. Create pictograms to represent data.
AA.03. Interpret data displayed in stem-and-leaf plots.
AA.04. Create stem-and-leaf plots to organize data.
AA.05. Interpret data presented in line plots.
AA.06. Create line plots to represent data.
AA.07. Create frequency tables to organize data.
AA.08. Interpret bar graphs for categorical data.
AA.09. Create bar graphs for categorical data.
AA.10. Interpret categorical data from various graphs and tables.
AA.11. Interpret double bar graphs.
AA.12. Create double bar graphs to compare two sets of data.
AA.13. Interpret bar graphs for grouped data.
AA.14. Create bar graphs for grouped data.
AA.15. Interpret pie charts showing fractions of a whole.
AA.16. Interpret data presented in line graphs.
AA.17. Create line graphs to show trends in data over time.
AA.18. Interpret double line graphs.
AA.19. Create double line graphs to compare two trends over time.
AA.20. Choose the best type of graph to represent a given set of data.
AA.21. Analyze and draw conclusions from data presented in various graphical forms.

BB. Statistics

BB.01. Identify statistical questions that can be answered with data.
BB.02. Identify representative, random and biased samples.
BB.03. Calculate the mean, median, mode, and range of a data set.
BB.04. Interpret charts to find mean, median, mode and range.
BB.05. Find a missing number in a data set given the mean, median, mode, or range.
BB.06. Identify an outlier in a data set.
BB.07. Describe the effect of removing an outlier on the mean, median, and range.
BB.08. Describe the distribution of data in line plots (e.g., symmetrical, skewed).
BB.09. Populations and samples.
BB.10. Use statistical measures to compare and contrast different data sets.

CC. Probability

CC.01. Calculate the probability of simple events.
CC.02. Calculate the probability of simple events and opposite events.
CC.03. Calculate the probability of mutually exclusive events and overlapping events.
CC.04. Determine experimental probability based on observed outcomes.
CC.05. Use collected data to find probabilities and make predictions.
CC.06. Make predictions using theoretical probability.
CC.07. Make predictions using experimental probability.
CC.08. Relate probability to real-world games, experiments, and decision-making.

DD. Money

DD.01. Find the number of each type of coin needed to make a given amount.
DD.02. Add and subtract money amounts (dollars and cents).
DD.03. Multiply money by whole numbers.
DD.04. Divide money amounts.
DD.05. Solve word problems involving addition and subtraction of money amounts.
DD.06. Solve word problems involving multiplication of money.
DD.07. Solve word problems involving division of money amounts.
DD.08. Apply money calculations to budgeting and financial planning.

EE. Consumer Maths

EE.01. Calculate sale prices after a percentage discount.
EE.02. Compare different coupons to determine the best value.
EE.03. Calculate unit prices to compare the cost of different sized items.
EE.04. Calculate unit prices involving fractions and decimals.
EE.05. Use unit prices to find the total price of multiple items.
EE.06. Calculate tip, mark-up and more.
EE.07. Calculate VAT (Value Added Tax) on purchases.
EE.08. Apply consumer math skills to make informed purchasing decisions.

FF. Financial literacy

GG. Number Sequences

GG.01. Identify arithmetic and geometric sequences.
GG.02. Determine the common difference in arithmetic sequences.
GG.03. Determine the common ratio in geometric sequences.
GG.04. Continue arithmetic sequences to find subsequent terms.
GG.05. Continue geometric sequences to find subsequent terms.
GG.06. Solve word problems involving arithmetic sequences.
GG.07. Evaluate variable expressions for arithmetic sequences.
GG.08. Write variable expressions for arithmetic sequences.
GG.09. Solve word problems involving number sequences.
GG.10. Number sequences: mixed review.

HH. Expressions and Properties

HH.01. Write variable expressions to represent mathematical relationships.
HH.02. Identify terms and coefficients in algebraic expressions.
HH.03. Evaluate variable expressions with whole numbers.
HH.04. Evaluate multi-variable expressions.
HH.05. Evaluate variable expressions with decimals.
HH.06. Identify equivalent expressions using bar models.
HH.07. Identify and apply properties of addition (commutative, associative, identity).
HH.08. Add and subtract like terms in algebraic expressions.
HH.09. Identify and apply properties of multiplication (commutative, associative, identity, zero).
HH.10. Solve for a variable using properties of multiplication.
HH.11. Multiply using the distributive property with area models.
HH.12. Multiply using the distributive property.
HH.13. Factorise linear expressions using area models.
HH.14. Find factors of linear expressions.
HH.15. Sort factors of expressions.
HH.16. Write equivalent expressions using properties.
HH.17. Identify equivalent expressions.
HH.18. Write variable expressions: word problems.
HH.19. Relate algebraic expressions to real-world scenarios and problem-solving.

II. One-Variable Equations

II.01. Determine which value of x satisfies a given equation.
II.02. Write an equation from a given verbal description.
II.03. Identify the difference between expressions and equations.
II.04. Model and solve one-step equations using algebra tiles.
II.05. Write and solve one-step equations that represent diagrams.
II.06. Solve one-step equations with whole numbers.
II.07. Solve one-step equations with decimals.
II.08. Solve one-step equations with word problems.
II.09. Model and solve two-step equations using algebra tiles.
II.10. Write and solve two-step equations that represent diagrams.
II.11. Solve two-step equations: positive numbers.
II.12. Solve two-step equations: including negative numbers.
II.13. Write a one-step equation: word problems.
II.14. Solve one-step equations involving integers.
II.15. Solve one- and two-step equations: word problems.
II.16. Which word problem matches the one-step equation?

JJ. One-Variable Inequalities

KK. Two-Variable Equations

KK.01. Determine if an ordered pair (x, y) satisfies a given equation.
KK.02. Identify the independent and dependent variables in a relationship.
KK.03. Complete a table of values for a two-variable relationship.
KK.04. Write a two-variable equation from a table of values.
KK.05. Write a two-variable equation to represent a given relationship.
KK.06. Identify the graph of a given two-variable equation.
KK.07. Complete a table and graph a two-variable equation.
KK.08. Graph a two-variable equation on the coordinate plane.
KK.09. Interpret a graph of a two-variable equation in a word problem context.
KK.10. Write an equation from a graph using a table
KK.11. Find a value using two-variable equations
KK.12. Find a value using two-variable equations: word problems
KK.13. Solve word problems by finding two-variable equations

Course Content

A. Whole Numbers

A.01. Recognize and identify place values within whole numbers.

A.02. Express whole numbers in word form.

A.03. Round whole numbers to a specified place value.

A.04. Translate Roman numerals into Arabic numerals and vice versa.

A.05. Solve word problems involving addition and subtraction of whole numbers.

A.06. Perform addition and subtraction operations with whole numbers accurately.

A.07. Apply addition and subtraction of whole numbers to real-world scenarios.

B. Addition and Subtraction of Decimals

B.01. Add and subtract decimal numbers accurately.

B.02. Complete decimal addition or subtraction number sentences by finding the missing value.

B.03. Estimate the sums and differences of decimals.

B.04. Solve word problems involving addition and subtraction of decimals.

B.05. Apply decimal addition and subtraction to interpret maps with decimal distances.

B.06. Relate decimal addition and subtraction to real-world contexts involving money and measurement.

C. Fractions and Mixed Numbers

C.01. Review the basic concepts of fractions and mixed numbers.

C.02. Convert decimals to fractions and mixed numbers.

C.03. Write fractions in their lowest terms (simplest form).

C.04. Compare fractions with both the same and different denominators.

C.05. Convert between improper fractions and mixed numbers fluently.

C.06. Order a mix of decimals, fractions, and mixed numbers.

C.07. Apply understanding of fractions to solve related word problems.

C.08. Convert fractions to terminating and recurring decimals.

C.09. Understand and interpret fractions as division in word problems.

D. Multiplication

D.01. Multiply whole numbers efficiently.

D.02. Multiply numbers ending in zeroes.

D.03. Estimate the products of whole numbers.

D.04. Solve word problems involving multiplication of whole numbers.

D.05. Multiply three or more numbers.

D.06. Solve word problems that require multiplying three or more numbers.

D.07. Apply multiplication of whole numbers to real-world contexts.

D.08. Multiply whole numbers with four or more digits accurately.

E. Division

E.01. Apply divisibility rules to determine if a number is divisible by another.

E.02. Divide numbers ending in zeroes.

E.03. Estimate quotients of division problems.

E.04. Solve word problems involving division of numbers ending in zeroes.

E.05. Divide whole numbers using two-digit divisors.

E.06. Divide whole numbers using three-digit divisors.

E.07. Relate division to real-world sharing and grouping problems.

E.08. Recognize and apply division patterns with zeroes in various contexts.

F. Add and Subtract Fractions

F.01. Add and subtract fractions with the same denominator using number lines.

F.02. Add and subtract fractions with the same denominator.

F.03. Add and subtract mixed numbers with the same denominator.

F.04. Add fractions with different denominators using models.

F.05. Subtract fractions with different denominators using models.

F.06. Add and subtract fractions with different denominators.

F.07. Complete addition and subtraction number sentences with fractions.

F.08. Estimate sums and differences of mixed numbers.

F.09. Add and subtract mixed numbers.

F.10. Solve word problems involving addition and subtraction of fractions with different denominators.

F.11. Recognize and use inequalities with addition and subtraction of fractions.

F.12. Solve word problems involving addition and subtraction of mixed numbers.

F.13. Recognize and use inequalities with addition and subtraction of mixed numbers.

G. Multiply Fractions

G.01. Multiply fractions by whole numbers using number lines.

G.02. Identify the correct model for multiplying fractions by whole numbers.

G.03. Multiply fractions by whole numbers using models and complete the equation.

G.04. Sort problems that involves multiplying fractions and whole numbers.

G.05. Calculate fractions of a number.

G.06. Estimate products of fractions and whole numbers.

G.07. Multiply two fractions using models.

G.08. Multiply two fractions.

G.09. Complete the fraction multiplication number sentence.

G.10. Scaling whole numbers by fractions.

G.11. Solve word problems related to fractions of a number.

G.12. Multiply fractions and whole numbers.

G.13. Multiply three or more fractions and whole numbers.

G.14. Multiply mixed numbers and whole numbers.

G.15. Multiply mixed numbers.

G.16. Estimate products of fractions, whole numbers and mixed numbers.

G.17. Relate fraction multiplication to real-world scaling and sharing situations.

H. Divide Fractions

H.09. Divide two fractions.

H.10. Divide fractions and mixed numbers.

H.11. Solve word problems involving division of fractions and mixed numbers.