UK MATH GRADE 8 – EDmama UK

A. Decimals

A.01. Compare and order decimals using place value.
A.02. Round decimals to the nearest whole number, tenth, or hundredth.
A.03. Represent decimals on a number line.
A.04. Review decimal place values and representations.
A.05. Explore real-world applications of decimals in measurement and money.

B. Fractions and Mixed Numbers

B.01. Simplify fractions to their lowest terms.
B.02. Find the lowest common denominator (LCD) for a set of fractions.
B.03. Convert between mixed numbers and improper fractions.
B.04. Convert fractions and mixed numbers to decimals and vice versa.
B.05. Compare and order fractions, mixed numbers, and decimals.
B.06. Solve word problems involving the comparison of fractions.
B.07. Arrange a mix of decimals, fractions, and mixed numbers in ascending or descending order.
B.08. Explain the relationship between fractions, mixed numbers, and decimals.

C. Integers

D. Operations with Integers

D.01. Add and subtract integers using number lines and counters.
D.02. Apply integer addition and subtraction rules.
D.03. Complete addition and subtraction sentences with integers.
D.04. Multiply and divide integers using multiplication tables.
D.05. Apply integer multiplication and division rules.
D.06. Complete multiplication and division sentences with integers.
D.07. Solve word problems involving addition, subtraction, multiplication, and division of integers.
D.08. Evaluate numerical expressions involving integers, following the order of operations.
D.09. Solve multi-step problems requiring the use of all four operations with integers.

E. Operations with Decimals

E.01. Add and subtract decimals, aligning decimal points correctly.
E.02. Multiply decimals using standard algorithms.
E.03. Divide decimals by whole numbers and other decimals.
E.04. Multiply and divide decimals by powers of ten.
E.05. Estimate sums, differences, products, and quotients of decimals.
E.06. Solve word problems involving addition, subtraction, multiplication, and division of decimals.
E.07. Evaluate numerical expressions involving decimals using the order of operations.
E.08. Solve multi-step inequalities involving decimals.
E.09. Interpret and use maps with decimal distances to solve problems.
E.10. Apply decimal operations in real-world contexts such as money and measurement.
E.11. Construct decimal-based models to represent real-world applications.

F. Operations with Fractions

F.01. Add and subtract fractions with like denominators.
F.02. Add and subtract fractions with unlike denominators.
F.03. Add and subtract mixed numbers, regrouping when necessary.
F.04. Multiply fractions by whole numbers using visual models.
F.05. Multiply fractions and whole numbers.
F.06. Multiply two or more fractions.
F.07. Divide unit fractions by whole numbers and whole numbers by unit fractions using models.
F.08. Divide fractions by whole numbers and whole numbers by fractions.
F.09. Divide fractions by fractions and mixed numbers.
F.10. Find reciprocals of fractions and whole numbers.
F.11. Solve word problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers.
F.12. Evaluate numerical expressions involving fractions using the order of operations.
F.13. Estimate products and quotients of fractions and mixed numbers.
F.14. Solve inequalities involving addition and subtraction of fractions and mixed numbers.
F.15. Generalize real-world applications of fraction operations.

G. Number Theory

G.01. Identify factors and multiples of a given number.
G.02. Apply divisibility rules to determine if a number is divisible by another.
G.03. Classify numbers as prime or composite.
G.04. Find the prime factorization of a number.
G.05. Determine the highest common factor (HCF) of two or more numbers.
G.06. Determine the lowest common multiple (LCM) of two or more numbers.
G.07. Solve word problems involving HCF and LCM.
G.08. Classify different types of numbers (e.g., square, cube, triangular).
G.09. Convert between ordinary numbers and standard form (scientific notation).
G.10. Compare numbers written in standard form.
G.11. Apply number theory concepts to simplify fractions and solve equations.
G.12. Identify and explain the properties of multiplicative inverses.
G.13. Use number theory concepts to find patterns and solve problems.
G.14. Understand and apply the Euclidean algorithm for finding the HCF of two numbers.

H. Ratios, Rates and Proportions

H.01. Understand the concept of ratios and rates and their applications.
H.02. Identify equivalent ratios.
H.03. Write an equivalent ratio for a given ratio.
H.04. Compute unit rates from given data.
H.05. Identify equivalent rates.
H.06. Use bar diagrams to solve ratio word problems.
H.07. Determine if two ratios form a proportion.
H.08. Solve proportions for a missing value.
H.09. Solve word problems involving ratios, rates, and proportions.
H.10. Compare rates in word problems.
H.11. Find the constant of proportionality in various representations.
H.12. Calculate and interpret rate of change.
H.13. Determine the relationship between ratios, rates, and proportions.
H.14. Use rates and ratios to convert measurements.

I. Direct Proportions

I.01. Find the constant of proportionality from a table.
I.02. Write equations for proportional relationships from tables.
I.03. Identify proportional relationships by graphing.
I.04. Find the constant of proportionality from a graph.
I.05. Write equations for proportional relationships from graphs.
I.06. Identify proportional relationships from graphs and equations.
I.07. Identify proportional relationships from tables.
I.08. Complete a table and graph a proportional relationship.
I.09. Interpret graphs of proportional relationships.
I.10. Write and solve equations for proportional relationships.
I.11. Use proportional reasoning to solve real-world problems.

J. Percents

J.01. Convert between percents, fractions, and decimals.
J.02. Compare percents to fractions and decimals.
J.03. Solve percent problems using grid and bar models.
J.04. Estimate percents of numbers.
J.05. Calculate percents of numbers and money amounts.
J.06. Solve word problems involving percents of numbers.
J.07. Determine what percent one number is of another.
J.08. Find the total given a part and a percent.
J.09. Solve percent equations.
J.10. Solve word problems involving percent equations.
J.11. Calculate percent of change.
J.12. Solve word problems involving percent of change, including finding the original amount.
J.13. Apply percentage concepts to solve real-world problems such as taxation, discount, and more.

K. Consumer Maths

K.01. Solve word problems involving addition, subtraction, multiplication, and division of money amounts.
K.02. Interpret price lists to calculate total costs.
K.03. Calculate unit prices to compare values.
K.04. Calculate the total price using unit prices.
K.05. Calculate percent of a number for VAT, discount, and more.
K.06. Find the percent of discount and mark-up.
K.07. Determine sale prices by finding the original price.
K.08. Solve multi-step problems with percents in consumer contexts.
K.09. Estimate tips.
K.10. Calculate simple interest.
K.11. Calculate compound interest.
K.12. Understand the importance of budgeting and financial planning.

L. Units of Measurement

L.01. Estimate metric measurements (length, mass, volume).
L.02. Compare and convert metric units.
L.03. Solve multi-step problems with metric unit conversions.
L.04. Work with metric mixed units.
L.05. Convert between square metres and hectares.
L.06. Convert square and cubic units of length.
L.07. Convert between cubic metres and litres.
L.08. Understand the concept of precision in measurement.
L.09. Estimate imperial measurements (length, weight, volume).
L.10. Convert and compare imperial units.
L.11. Work with imperial mixed units.
L.12. Convert between metric and imperial units.
L.13. Determine the appropriate unit of measurement for a given situation.

M. Problem Solving and Estimation

N. Coordinate Plane

O. Number Sequences

O.01. Identify arithmetic and geometric sequences.
O.02. Find the next terms in arithmetic sequences.
O.03. Find the next terms in geometric sequences.
O.04. Review mixed number sequences.
O.05. Solve word problems involving number sequences.
O.06. Evaluate variable expressions for arithmetic sequences.
O.07. Evaluate variable expressions for geometric sequences.
O.08. Write variable expressions for arithmetic sequences.
O.09. Extend and generalize number sequence patterns to algebraic expressions.

P. Expressions and Properties

P.01. Write variable expressions to represent real-world situations.
P.02. Evaluate linear expressions by substituting given values.
P.03. Evaluate multi-variable expressions by substituting given values.
P.04. Evaluate nonlinear expressions by substituting given values.
P.05. Identify terms and coefficients in algebraic expressions.
P.06. Identify equivalent expressions using bar models.
P.07. Understand and apply properties of addition and multiplication (commutative, associative, distributive).
P.08. Add and subtract like terms in algebraic expressions.
P.09. Multiply using the distributive property with area models.
P.10. Multiply using the distributive property algebraically.
P.11. Factorise linear expressions using area models.
P.12. Factorise linear expressions algebraically.
P.13. Identify factors of linear expressions.
P.14. Sort factors of expressions.
P.15. Write equivalent expressions using properties.
P.16. Simplify linear expressions by combining like terms and using the distributive property.
P.17. Identify equivalent linear expressions.
P.18. Solve word problems by using the order of operations to evaluate algebraic expressions.

Q. One-Variable Equations

Q.01. Determine which value of x satisfies an equation.
Q.02. Write an equation from a verbal description.
Q.03. Model and solve equations using algebra tiles.
Q.04. Write and solve equations that represent diagrams.
Q.05. Solve equations using properties of equality (addition, subtraction, multiplication, division).
Q.06. Solve one-step equations.
Q.07. Solve two-step equations.
Q.08. Solve equations by completing the solution steps.
Q.09. Solve one- and two-step equations in word problems.
Q.10. Solve equations involving like terms.
Q.11. Solve equations with the distributive property.
Q.12. Solve multi-step equations by completing the solution steps.
Q.13. Create and solve equations to model real-world situations.

R. One-Variable Inequalities

R.01. Identify solutions to inequalities.
R.02. Graph inequalities on number lines.
R.03. Write inequalities from number lines.
R.04. Write and graph inequalities from word problems.
R.05. Solve one-step inequalities.
R.06. Graph solutions to one-step inequalities.
R.07. Solve one-step inequalities in word problems.
R.08. Solve two-step inequalities.
R.09. Graph solutions to two-step inequalities.
R.10. Use inequalities to represent and solve real-world scenarios.

S. Two-Variable Equations

S.01. Determine if an ordered pair (x, y) satisfies a given equation.
S.02. Identify independent and dependent variables in a two-variable equation.
S.03. Solve word problems involving two-variable equations.
S.04. Write a two-variable equation to represent a given relationship.
S.05. Complete a table for a two-variable relationship.
S.06. Complete a table and graph a two-variable equation.
S.07. Identify the graph of a given equation.
S.08. Graph a two-variable equation.
S.09. Interpret a graph in the context of a word problem.
S.10. Write an equation from a graph using a table of values.
S.11. Apply two-variable equations to model and analyze real-world situations.

T. Linear Functions

T.01. Find the gradient (slope) from a graph.
T.02. Find the gradient from two points.
T.03. Find a missing coordinate given the gradient and another point.
T.04. Find the gradient and y-intercept of a linear equation.
T.05. Graph a line using the gradient and y-intercept.
T.06. Graph an equation in slope-intercept form (y = mx + c).
T.07. Write an equation in slope-intercept form from a graph.
T.08. Write an equation in slope-intercept form from a given gradient and y-intercept.
T.09. Interpret and apply linear functions to analyze real-world data.

U. Two-Dimensional Figures

U.01. Identify and classify polygons based on their properties.
U.02. Name, measure, and classify angles.
U.03. Classify triangles based on their sides and angles.
U.04. Apply the triangle inequality theorem.
U.05. Classify quadrilaterals based on their properties.
U.06. Graph triangles and quadrilaterals on the coordinate plane.
U.07. Find missing angles in triangles and quadrilaterals using angle properties.
U.08. Apply the Exterior Angle Theorem.
U.09. Calculate the interior angles of polygons.
U.10. Identify lines, line segments, and rays.
U.11. Identify parallel, perpendicular, and intersecting lines.
U.12. Identify complementary, supplementary, vertical, adjacent, and congruent angles.
U.13. Find measures of complementary, supplementary, vertical, and adjacent angles.
U.14. Identify alternate interior and alternate exterior angles formed by transversals of parallel lines.
U.15. Name angle pairs formed by transversals of parallel lines.
U.16. Find angle measures formed by transversals of parallel lines.
U.17. Find lengths and measures of bisected line segments and angles.
U.18. Identify and define the parts of a circle (radius, diameter, circumference, chord, arc, sector, tangent).
U.19. Construct two-dimensional figures using geometric tools.

V. Three-Dimensional Figures

W. Geometric Measurement

W.01. Calculate the area of triangles.
W.02. Understand the area of a parallelogram.
W.03. Calculate the area of parallelograms.
W.04. Understand the area of a trapezium.
W.05. Calculate the area of trapeziums.
W.06. Calculate the area of rhombuses.
W.07. Calculate the area of triangles and quadrilaterals.
W.08. Solve word problems involving area and perimeter of squares and rectangles.
W.09. Calculate the area of compound figures with triangles.
W.10. Calculate the circumference of circles.
W.11. Calculate the area of circles.
W.12. Solve word problems involving circles.
W.13. Calculate area, perimeter, radius, and diameter of semicircles.
W.14. Calculate area, perimeter, and radius of quarter circles.
W.15. Calculate the area of compound figures with triangles, semicircles, and quarter circles.
W.16. Calculate the area between two shapes.
W.17. Calculate the volume of cubes and cuboids.
W.18. Calculate the volume of compound figures.
W.19. Calculate the volume of triangular pyramids.
W.20. Calculate the volume of cylinders.
W.21. Calculate the surface area of three-dimensional figures.
W.22. Solve scale drawing word problems.
W.23. Solve scale drawing problems, finding the scale factor.
W.24. Apply the concept of geometric measurement to solve real-world problems.

X. Transformations

X.01. Identify symmetry in two-dimensional figures.
X.02. Identify reflections, rotations, and translations.
X.03. Perform translations and graph the image.
X.04. Determine the coordinates of translated figures.
X.05. Write the rule for a given translation.
X.06. Perform reflections and graph the image.
X.07. Determine the coordinates of reflected figures.
X.08. Perform rotations and graph the image.
X.09. Determine the coordinates of rotated figures.
X.10. Write the rule for a given reflection or rotation.
X.11. Perform dilations and graph the image.
X.12. Determine the coordinates of dilated figures.
X.13. Identify the scale factor and classification of dilations (enlargement or reduction).
X.14. Relate transformations to symmetry and tessellations.

Y. Congruence and Similarity

Y.01. Identify congruent figures.
Y.02. Write congruence statements and identify corresponding parts of congruent figures.
Y.03. Determine side lengths and angle measures of congruent figures.
Y.04. Identify similar figures.
Y.05. Calculate ratios in similar figures.
Y.06. Write similarity statements.
Y.07. Determine side lengths and angle measures of similar figures.
Y.08. Use similar figures and indirect measurement to solve real-world problems.
Y.09. Apply congruence and similarity criteria to prove geometric relationships.

Z. Pythagoras’ Theorem

AA. Constructions

BB. Data and Graphs

BB.01. Interpret data presented in tables.
BB.02. Interpret data presented in line plots.
BB.03. Create line plots from given data.
BB.04. Interpret data presented in stem-and-leaf plots.
BB.05. Create stem-and-leaf plots from given data.
BB.06. Interpret bar graphs for categorical data.
BB.07. Create bar graphs for categorical data.
BB.08. Interpret bar graphs for grouped data.
BB.09. Create bar graphs for grouped data.
BB.10. Create frequency charts from given data.
BB.11. Interpret data presented in pie charts.
BB.12. Relate pie charts to central angles.
BB.13. Interpret data presented in line graphs.
BB.14. Create line graphs from given data.
BB.15. Choose the best type of graph to represent a given data set.
BB.16. Analyse and compare different types of graphs.

CC. Statistics

CC.01. Calculate the mean, median, mode, and range of a data set.
CC.02. Interpret charts to find the mean, median, mode, and range.
CC.03. Find a missing number given the mean, median, mode, and range.
CC.04. Analyse changes in the mean, median, mode, and range when data values are altered.
CC.05. Identify outliers in a data set.
CC.06. Identify an outlier and describe the effect of removing it on the statistics.
CC.07. Describe distributions in line plots (symmetric, skewed).
CC.08. Identify representative, random, and biased samples.
CC.09. Create scatter plots from bivariate data.
CC.10. Identify trends with scatter plots (positive, negative, no correlation).
CC.11. Make predictions using scatter plots and lines of best fit.
CC.12. Identify outliers in scatter plots and their impact on trends.
CC.13. Differentiate between populations and samples.

DD. Probability

DD.01. Determine the probability of simple events.
DD.02. Calculate the probability of simple events and their opposite events.
DD.03. Determine the probability of mutually exclusive events and overlapping events.
DD.04. Calculate experimental probability from observed data.
DD.05. Use collected data to find probabilities and make predictions.
DD.06. Make predictions using theoretical probability.
DD.07. Make predictions using experimental probability.
DD.08. Calculate the number of outcomes for compound events.
DD.09. Determine the probability of compound events.
DD.10. Solve word problems involving finding the number of outcomes.
DD.11. Create and interpret probability models for real-world scenarios.

Course Content

A. Decimals

A.01. Compare and order decimals using place value.

A.02. Round decimals to the nearest whole number, tenth, or hundredth.

A.03. Represent decimals on a number line.

A.04. Review decimal place values and representations.

A.05. Explore real-world applications of decimals in measurement and money.

B. Fractions and Mixed Numbers

B.01. Simplify fractions to their lowest terms.

B.02. Find the lowest common denominator (LCD) for a set of fractions.

B.03. Convert between mixed numbers and improper fractions.

B.04. Convert fractions and mixed numbers to decimals and vice versa.

B.05. Compare and order fractions, mixed numbers, and decimals.

B.06. Solve word problems involving the comparison of fractions.

B.07. Arrange a mix of decimals, fractions, and mixed numbers in ascending or descending order.

B.08. Explain the relationship between fractions, mixed numbers, and decimals.

C. Integers

C.01. Understand the concept of integers and their position on the number line.

C.02. Represent integers on horizontal and vertical number lines.

C.03. Compare and order integers.

C.04. Define and identify integers in real-world contexts.

C.05. Determine the absolute value of an integer.

D. Operations with Integers

D.01. Add and subtract integers using number lines and counters.

D.02. Apply integer addition and subtraction rules.

D.03. Complete addition and subtraction sentences with integers.

D.04. Multiply and divide integers using multiplication tables.

D.05. Apply integer multiplication and division rules.

D.06. Complete multiplication and division sentences with integers.

D.07. Solve word problems involving addition, subtraction, multiplication, and division of integers.

D.08. Evaluate numerical expressions involving integers, following the order of operations.

D.09. Solve multi-step problems requiring the use of all four operations with integers.

E. Operations with Decimals

E.01. Add and subtract decimals, aligning decimal points correctly.

E.02. Multiply decimals using standard algorithms.

E.03. Divide decimals by whole numbers and other decimals.

E.04. Multiply and divide decimals by powers of ten.

E.05. Estimate sums, differences, products, and quotients of decimals.

E.06. Solve word problems involving addition, subtraction, multiplication, and division of decimals.

E.07. Evaluate numerical expressions involving decimals using the order of operations.

E.08. Solve multi-step inequalities involving decimals.

E.09. Interpret and use maps with decimal distances to solve problems.

E.10. Apply decimal operations in real-world contexts such as money and measurement.

E.11. Construct decimal-based models to represent real-world applications.

F. Operations with Fractions

F.01. Add and subtract fractions with like denominators.

F.02. Add and subtract fractions with unlike denominators.

F.03. Add and subtract mixed numbers, regrouping when necessary.

F.04. Multiply fractions by whole numbers using visual models.

F.05. Multiply fractions and whole numbers.

F.06. Multiply two or more fractions.

F.07. Divide unit fractions by whole numbers and whole numbers by unit fractions using models.

F.08. Divide fractions by whole numbers and whole numbers by fractions.

F.09. Divide fractions by fractions and mixed numbers.

F.10. Find reciprocals of fractions and whole numbers.

F.11. Solve word problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers.

F.12. Evaluate numerical expressions involving fractions using the order of operations.

F.13. Estimate products and quotients of fractions and mixed numbers.

F.14. Solve inequalities involving addition and subtraction of fractions and mixed numbers.

F.15. Generalize real-world applications of fraction operations.

G. Number Theory

G.01. Identify factors and multiples of a given number.

G.02. Apply divisibility rules to determine if a number is divisible by another.

G.03. Classify numbers as prime or composite.

G.04. Find the prime factorization of a number.

G.05. Determine the highest common factor (HCF) of two or more numbers.

G.06. Determine the lowest common multiple (LCM) of two or more numbers.

G.07. Solve word problems involving HCF and LCM.

G.08. Classify different types of numbers (e.g., square, cube, triangular).

G.09. Convert between ordinary numbers and standard form (scientific notation).

G.10. Compare numbers written in standard form.

G.11. Apply number theory concepts to simplify fractions and solve equations.

G.12. Identify and explain the properties of multiplicative inverses.

G.13. Use number theory concepts to find patterns and solve problems.

G.14. Understand and apply the Euclidean algorithm for finding the HCF of two numbers.

H. Ratios, Rates and Proportions

H.01. Understand the concept of ratios and rates and their applications.

H.02. Identify equivalent ratios.

H.03. Write an equivalent ratio for a given ratio.

H.04. Compute unit rates from given data.