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Interactive Year 7 Maths Help and Practice

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Year 7 Maths Topics

Numbers and Relations

Place value

Comparing and ordering numbers

Rounding numbers

Number Theory

Divisibility rules

Prime factors

Determining common factors

Determining common multiples

Introduction to exponents

Adding and Subtracting Integers

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Applications of integer operations

Multiplying and Dividing Integers

Understanding integer multiplication

Multiplying integers

Understanding integer division

Dividing integers

Applications of integer operations

Operations with Decimals

Adding and subtracting decimal numbers

Multiplying decimal numbers

Dividing decimal numbers

Order of operations (BIDMAS)

Adding and Subtracting Fractions

Using model to add and subtract fractions

Adding fractions with like denominators

Subtracting fractions with like denominators

Adding and subtracting fractions with unlike denominators

Adding and subtracting mixed numbers

Multiplying and Dividing Fractions

Multiplying fractions and whole numbers

Dividing fractions with whole numbers

Multiplying proper fractions

Multiplying improper fractions and mixed numbers

Dividing fractions and mixed numbers

Applications of fraction operations

Rational Numbers

Comparing and ordering rational numbers

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Determine square roots of rational numbers

Powers, Exponents and Square Roots

Using exponents to describe numbers

Exponent rules

Order of operations with exponents

Using exponents to solve problems

Squares and square roots

Estimating square roots

Rates and Ratios

Rates

Rates with fractions

Ratios

Applications of ratios

Fractions, Decimals, and Percents

Representing percents

Percent of a number

Converting among fractions, decimals, and percents

Applications of percents

Taxes, discounts, tips and more

Simple interest

Measuring Systems

Metric systems

Imperial systems

Conversions between metric and imperial systems

Conversions involve squares and cubic

Coordinates, Quadrants, and Transformations

Cartesian plane

Draw on coordinate planes

Introduction to transformations

Horizontal and vertical distances

Patterns

Graphing patterns

Introduction to Variables and Expressions

Evaluating algebraic expressions

Solving Equations

Solving one-step equations: x + a = b

Model and solve one-step linear equations: ax = b, x/a = b

Solving two-step linear equations using addition and subtraction: ax + b = c

Solving two-step linear equations using multiplication and division: x/a + b = c

Solving two-step linear equations using distributive property: a(x + b) = c

Introduction to Polynomials

Characteristics of polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Angles, Lines, and Transversals

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Properties of triangles

Classifying triangles

Isosceles and equilateral triangles

Circles

Circles and circumference

Angles in a circle

Arcs of a circle

Areas and sectors of circles

Symmetry and Surface Area

Line symmetry

Rotational symmetry and transformations

Surface area of 3-dimensional shapes

Introduction to 3-dimensional figures

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface area of cylinders

Volume

Introduction to volume

Volume of prisms

Volume of cylinders

Word problems relating volume of prisms and cylinders

Data and Graphs

Reading and drawing bar graphs

Reading and drawing histograms

Reading and drawing line graphs

Box-and-whisker plots and scatter plots

Stem-and-leaf plots

Reading and drawing Venn diagrams

Statistics

Median and mode

Mean

Range and outliers

Application of averages

Introduction to Probability

Introduction to probability

Organizing outcomes

Probability of independent events

Comparing theoretical and experimental probabilities

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