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Divisibility Rules
Prime factors
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 (BODMAS)
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
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
Using exponents to describe numbers
Exponent rules
Order of operations with exponents
Using exponents to solve problems
Squares and square roots
Estimating square roots
Ratios
Rates
Proportions
Identifying proportional relationships
Understanding graphs of proportional relationships
Graphing and writing equations of proportional relationships
Applications of proportional relationships
Representing percents
Percent of a number
Converting among decimals, fractions, and percents
Applications of percents
Taxes, discounts, tips and more
Simple interest
Metric systems
Imperial systems
Conversions between metric and imperial systems
Conversions involve squares and cubic
Cartesian plane
Draw on coordinate planes
Introduction to transformations
Horizontal and vertical distances
Patterns
Graphing 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
Pairs of lines and angles
Parallel lines and transversals
Parallel line proofs
Perpendicular line proofs
Parallel and perpendicular line segments
Perpendicular bisectors
Classifying Triangles
Enlargements and reductions with scale factors
Scale diagrams
Similar triangles
Similar polygons
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
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
Reading and drawing Venn diagrams
Stem-and-leaf plots
Pie charts
Median and mode
Mean
Range and outliers
Application of averages
Introduction to probability
Organizing outcomes
Probability of independent events
Comparing experimental and theoretical probability
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