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Numbers and Relations

Place value

Comparing and ordering numbers

Rounding numbers

Number Theory

Prime factorization

Divisibility rules

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

Application of integer operations

Multiplying and Dividing Integers

Understanding integer multiplication

Multiplying integers

Understanding integer division

Dividing integers

Applications of integer operations

Operations with Decimal Numbers

Adding and subtracting decimals

Multiplying decimals

Dividing decimals

Order of operations (PEMDAS)

Coordinates, Quadrants, and Transformations

Cartesian plane

Draw on coordinate planes

Introduction to transformations

Horizontal and vertical distances

Geometry and Measurement

Classifying triangles

Parallel and perpendicular line segments

Perpendicular bisectors

Angle bisectors

Measuring Systems

Conversions between metric and imperial systems

Metric systems

Imperial systems

Conversions involve squares and cubic

Adding and Subtracting Fractions

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 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

Fractions, Decimals, and Percents

Taxes, discounts, tips and more

Simple interest

Modeling percents

Percents, fractions, and decimals

Percent of a number

Adding and multiplying percents

Representing percents

Converting among decimals, fractions, and percents

Applications of percents

Ratios, Rates, and Proportions

Ratios

Rates

Proportions

Pythagorean Theorem

Squares and square roots

Pythagorean theorem

Estimating square roots

Using the pythagorean relationship

Applications of pythagorean theorem

Powers and Exponents

Using exponents to describe numbers

Exponent rules

Order of operations with exponents

Using exponents to solve problems

Introduction to 3D Objects

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

Circles

Circles and circumference

Arcs of a circle

Areas and sectors of circles

Patterns and Solving Equations

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

Patterns

Evaluating algebraic expressions

Solving one - step equations: x + a = b

Introduction to Probability

Basic probability

Determining probabilities using tree diagrams and tables

Probability of independent events (advanced)

Introduction to probability

Organizing outcomes

Probability of independent events

Comparing experimental and theoretical probability

Probability with Venn diagrams

Data Management

Influencing factors in data collection

Data collection

Advantages and disadvantages of different graphs

Misleading graphs

Critiquing data presentation

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