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Alberta Math Curriculum

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Alberta Math Curriculum Grade 8

Number theory

  • Factors
  • Divisibility rules
  • Prime or composite
  • Prime factorization
  • Greatest common factor
  • Least common multiple
  • GCF and LCM: word problems
  • Classify numbers

Integers

  • Integers on number lines
  • Graph integers on number lines
  • Absolute value and opposite integers
  • Compare and order integers
  • Integer inequalities with absolute values

Operations with integers

  • Integer addition and subtraction rules
  • Add and subtract integers using counters
  • Add and subtract integers
  • Add and subtract three or more integers
  • Add and subtract integers: word problems
  • Integer multiplication and division rules
  • Multiply and divide integers
  • Simplify expressions involving integers and absolute values
  • Evaluate variable expressions with integers and absolute values

Rational numbers

  • Identify rational and irrational numbers
  • Simplify fractions
  • Least common denominator
  • Round decimals and mixed numbers
  • Absolute value of rational numbers
  • Convert between decimals and fractions or mixed numbers
  • Compare rational numbers
  • Put rational numbers in order

Operations with rational numbers

  • Reciprocals and multiplicative inverses
  • Add and subtract rational numbers
  • Add and subtract rational numbers: word problems
  • Apply addition and subtraction rules
  • Multiply and divide rational numbers
  • Multiply and divide rational numbers: word problems
  • Apply multiplication and division rules
  • Apply addition, subtraction, multiplication and division rules
  • Simplify expressions involving rational numbers
  • Evaluate variable expressions involving rational numbers

Exponents and roots

  • Understanding exponents
  • Evaluate exponents
  • Exponents: solve for the variable
  • Exponents with negative bases
  • Exponents with decimal and fractional bases
  • Square roots of perfect squares
  • Estimate square roots
  • Relationship between squares and square roots
  • Evaluate variable expressions involving squares and square roots

Scientific notation

  • Convert between standard and scientific notation
  • Compare numbers written in scientific notation

Ratios and proportions

  • Understanding ratios
  • Equivalent ratios
  • Equivalent ratios: word problems
  • Compare ratios: word problems
  • Unit rates
  • Do the ratios form a proportion?
  • Do the ratios form a proportion: word problems
  • Solve proportions
  • Solve proportions: word problems
  • Estimate population size using proportions
  • Rate of change
  • Constant rate of change
  • Scale drawings and scale factors

Proportional relationships

  • Identify proportional relationships
  • Find the constant of variation: graphs
  • Find the constant of variation: word problems
  • Graph a proportional relationship
  • Write an equation for a proportional relationship
  • Proportional relationships: word problems

Percents

  • Convert between percents, fractions and decimals
  • Compare percents to fractions and decimals
  • Find what percent one number is of another
  • Find what percent one number is of another: word problems
  • Estimate percents of numbers
  • Percents of numbers and money amounts
  • Percents of numbers: word problems
  • Compare percents of numbers
  • Solve percent equations
  • Percent of change
  • Percent of change: word problems

Consumer math

  • Price lists
  • Unit prices
  • Unit prices: find the total price
  • Percent of a number: tax, discount and more
  • Find the percent: tax, discount and more
  • Sale prices: find the original price
  • Multi-step problems with percents
  • Estimate tips
  • Simple interest
  • Compound interest

Problem solving

  • Multi-step word problems
  • Guess-and-check word problems
  • Use Venn diagrams to solve problems
  • Elapsed time word problems

Data and graphs

  • Interpret tables
  • Interpret bar graphs
  • Create bar graphs
  • Interpret line graphs
  • Create line graphs
  • Interpret line plots
  • Create line plots
  • Create and interpret line plots with fractions
  • Interpret stem-and-leaf plots
  • Interpret histograms
  • Create histograms
  • Create frequency charts
  • Interpret box-and-whisker plots
  • Scatter plots
  • Interpret circle graphs
  • Circle graphs and central angles
  • Choose the best type of graph

Pythagorean theorem

  • Pythagorean theorem: find the length of the hypotenuse
  • Pythagorean theorem: find the missing leg length
  • Pythagorean theorem: find the perimeter
  • Pythagorean theorem: word problems
  • Converse of the Pythagorean theorem: is it a right triangle?

Coordinate graphs

  • Points on coordinate graphs
  • Quadrants and axes
  • Coordinate graphs as maps
  • Distance between two points

Geometry

  • Identify complementary, supplementary, vertical, adjacent and congruent angles
  • Find measures of complementary, supplementary, vertical and adjacent angles
  • Transversal of parallel lines
  • Classify triangles
  • Classify quadrilaterals
  • Find missing angles in triangles and quadrilaterals
  • Identify and classify polygons
  • Interior angles of polygons
  • Similar and congruent figures
  • Similar figures: side lengths and angle measures
  • Congruent figures: side lengths and angle measures
  • Congruence statements and corresponding parts
  • Perimeter
  • Area
  • Area between two shapes
  • Area and perimeter: word problems
  • Parts of a circle
  • Circles, semicircles and quarter circles
  • Circles: word problems
  • Find lengths and measures of bisected lines and angles
  • Front, side and top view
  • Base plans
  • Names and parts of 3-dimensional figures
  • Nets of 3-dimensional figures
  • Surface area of prisms and cylinders
  • Surface area of pyramids
  • Volume
  • Similar solids
  • Volume and surface area of similar solids
  • Perimeter, area and volume: changes in scale

Transformations

  • Identify reflections, rotations and translations
  • Translations: graph the image
  • Translations: find the coordinates
  • Reflections: graph the image
  • Reflections: find the coordinates
  • Rotations: graph the image
  • Rotations: find the coordinates
  • Dilations: graph the image
  • Dilations: find the coordinates
  • Dilations: scale factor and classification
  • Symmetry

Measurement

  • Convert rates and measurements: metric units
  • Metric mixed units
  • Convert square and cubic units of length
  • Convert between cubic metres and litres
  • Precision

Number sequences

  • Identify arithmetic and geometric sequences
  • Arithmetic sequences
  • Geometric sequences
  • Number sequences: mixed review
  • Number sequences: word problems
  • Evaluate variable expressions for number sequences
  • Write variable expressions for arithmetic sequences

Variable expressions

  • Write variable expressions
  • Write variable expressions to represent diagrams
  • Identify terms and coefficients
  • Evaluate single-variable expressions
  • Evaluate multi-variable expressions
  • Add and subtract like terms
  • Simplify variable expressions

Single-variable equations

  • Does x satisfy the equation?
  • Model and solve equations using algebra tiles
  • Write and solve equations that represent diagrams
  • Solve one-step linear equations
  • Solve two-step linear equations
  • Solve equations involving squares and square roots
  • Solve equations involving like terms

Linear functions

  • Does (x, y) satisfy the linear equation?
  • Complete a function table
  • Write a rule for a function table
  • Find points on a function graph
  • Graph a line from a function table
  • Graph a line from an equation
  • Linear function word problems

Properties

  • Properties of addition and multiplication
  • Distributive property
  • Simplify variable expressions using properties
  • Properties of equality

Probability

  • Probability of simple events
  • Probability of opposite, mutually exclusive and overlapping events
  • Experimental probability
  • Make predictions
  • Compound events: find the number of outcomes
  • Counting principle

Statistics

  • Calculate mean, median, mode and range
  • Interpret charts to find mean, median, mode and range
  • Mean, median, mode and range: find the missing number
  • Changes in mean, median, mode and range
  • Quartiles
  • Identify representative, random and biased samples
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