Alberta Grade 7 Math Curriculum

Number theory

  • Prime or composite
  • Prime factorization
  • Multiplicative inverses
  • Divisibility rules
  • Greatest common factor
  • Least common multiple
  • GCF and LCM: word problems
  • Scientific notation
  • Compare numbers written in scientific notation
  • Classify numbers

Decimal numbers

  • Decimal numbers review
  • Compare and order decimals
  • Decimal number lines
  • Round decimals

Operations with decimals

  • Add and subtract decimals
  • Add and subtract decimals: word problems
  • Multiply decimals
  • Multiply decimals and whole numbers: word problems
  • Divide decimals
  • Divide decimals by whole numbers: word problems
  • Estimate sums, differences and products of decimals
  • Add, subtract, multiply and divide decimals: word problems
  • Multi-step inequalities with decimals
  • Maps with decimal distances
  • Simplify expressions involving decimals

Integers

  • Understanding 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
  • Complete addition and subtraction sentences with integers
  • Add and subtract integers: word problems
  • Integer multiplication and division rules
  • Multiply and divide integers
  • Complete multiplication and division sentences with integers
  • Simplify expressions involving integers

Fractions and mixed numbers

  • Equivalent fractions
  • Simplify fractions
  • Understanding fractions
  • Least common denominator
  • Compare and order fractions
  • Compare fractions: word problems
  • Convert between mixed numbers and improper fractions
  • Compare mixed numbers and improper fractions
  • Round mixed numbers

Operations with fractions

  • Add and subtract fractions with like denominators
  • Add and subtract fractions with like denominators: word problems
  • Add fractions with unlike denominators
  • Subtract fractions with unlike denominators
  • Add and subtract fractions with unlike denominators: word problems
  • Add and subtract mixed numbers
  • Add and subtract mixed numbers: word problems
  • Inequalities with addition and subtraction of fractions and mixed numbers
  • Estimate sums and differences of mixed numbers
  • Multiply fractions and whole numbers
  • Multiply fractions and whole numbers: word problems
  • Multiply two fractions using models
  • Multiply fractions
  • Multiply fractions: word problems
  • Multiply three or more fractions and whole numbers
  • Divide whole numbers by unit fractions using models
  • Reciprocals
  • Divide whole numbers and unit fractions
  • Divide fractions
  • Divide fractions: word problems
  • Estimate products and quotients of fractions and mixed numbers
  • Add, subtract, multiply and divide fractions and mixed numbers: word problems

Rational numbers

  • Identify rational numbers
  • Convert between decimals and fractions or mixed numbers
  • Absolute value of rational numbers
  • Compare rational numbers
  • Put rational numbers in order
  • Add and subtract rational numbers
  • Apply addition and subtraction rules
  • Multiply and divide rational numbers
  • Apply multiplication and division rules

Exponents and square roots

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

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

Percents

  • What percentage is illustrated?
  • Convert between percents, fractions and decimals
  • Compare percents to fractions and decimals
  • Estimate percents of numbers
  • Percents of numbers and money amounts
  • Percents of numbers: word problems
  • Solve percent equations
  • Solve percent equations: word problems

Problem solving and estimation

  • Estimate to solve word problems
  • Multi-step word problems
  • Guess-and-check word problems
  • Use Venn diagrams to solve problems
  • Find the number of each type of coin
  • Elapsed time word problems

Consumer math

  • Add, subtract, multiply and divide money amounts: word problems
  • 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

Data and graphs

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

Geometry

  • Lines, line segments and rays
  • Parallel, perpendicular, intersecting
  • Construct the midpoint or perpendicular bisector of a segment
  • Construct a perpendicular line
  • Name, measure and classify angles
  • Identify complementary, supplementary, vertical, adjacent and congruent angles
  • Find measures of complementary, supplementary, vertical and adjacent angles
  • Construct an angle bisector
  • Construct a congruent angle
  • Transversal of parallel lines
  • Construct parallel lines
  • Classify triangles
  • Classify quadrilaterals
  • Find missing angles in triangles and quadrilaterals
  • Identify and classify polygons
  • Interior angles of polygons
  • Construct an equilateral triangle or regular hexagon
  • Similar and congruent figures
  • Similar figures: side lengths and angle measures
  • Similar figures and indirect measurement
  • Congruent figures: side lengths and angle measures
  • Congruence statements and corresponding parts
  • Perimeter
  • Area of rectangles and parallelograms
  • Area of triangles and trapezoids
  • Area with mixed numbers
  • Area and perimeter: word problems
  • Parts of a circle
  • Circles: calculate area, circumference, radius and diameter
  • Circles: word problems
  • Find lengths and measures of bisected lines and angles
  • Front, side and top view
  • Names and bases of 3-dimensional figures
  • Nets of 3-dimensional figures
  • Surface area
  • Volume
  • Perimeter, area and volume: changes in scale
  • Semicircles: calculate area, perimeter, radius and diameter
  • Quarter circles: calculate area, perimeter and radius
  • Area of compound figures with triangles, semicircles and quarter circles
  • Area between two shapes

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
  • Symmetry

Coordinate graphs

  • Points on coordinate graphs
  • Quadrants and axes
  • Coordinate graphs as maps

Measurement

  • Estimate metric measurements
  • Compare and convert 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
  • Evaluate single-variable expressions I
  • Evaluate single-variable expressions II
  • Evaluate multi-variable expressions
  • Evaluate variable expressions for numerators and denominators
  • Add and subtract like terms

Single-variable equations

  • Does x satisfy the equation?
  • Model and solve equations using algebra tiles
  • Solve one-step linear equations
  • Solve two-step linear equations
  • Solve equations involving like terms

Linear functions

  • Identify proportional relationships
  • Find the constant of variation
  • Does (x, y) satisfy the 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
  • Solve equations using properties

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
  • Identify representative, random and biased samples

Inquiry