Master 7th Grade Math

Place value

Comparing and ordering numbers

Rounding numbers

Divisibility rules

Prime factorization

Determining Common Factors

Determining Common Multiples

Introduction to exponents

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Application of integer operations

Understanding integer multiplication

Multiplying integers

Understanding integer division

Dividing integers

Applications of integer operations

Adding and subtracting decimals

Multiplying decimals

Dividing decimals

Order of operations (PEMDAS)

Cartesian plane

Draw on coordinate planes

Introduction to transformations

Horizontal and vertical distances

Parallel and perpendicular line segments

Perpendicular bisectors

Angle bisectors

Classifying triangles

Metric systems

Imperial systems

Conversions between metric and imperial systems

Conversions involve squares and cubic

Using models 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 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

Representing percents

Modeling percents

Percent of a number

Converting among decimals, fractions, and percents

Percents, fractions, and decimals

Applications of percents

Adding and multiplying percents

Taxes, discounts, tips and more

Simple interest

Ratios

Rates

Proportions

Squares and square roots

Pythagorean theorem

Estimating square roots

Using the pythagorean relationship

Applications of pythagorean theorem

Using exponents to describe numbers

Exponent rules

Order of operations with exponents

Using exponents to solve problems

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface area of cylinders

Introduction to volume

Volume of prisms

Volume of cylinders

Word problems relating volume of prisms and cylinders

Circles and circumference

Arcs of a circle

Areas and sectors of circles

Patterns

Evaluating algebraic expressions

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 probability

Organizing outcomes

Probability of independent events

Comparing experimental and theoretical probability

Basic probability

Determining probabilities using tree diagrams and tables

Probability of independent events (advanced)

Probability with Venn diagrams

Advantages and disadvantages of different graphs

Misleading graphs

Critiquing data presentation

Influencing factors in data collection

Data collection