AR: Arithmetic

AR.1: Understanding real numbers

AR.1.1: Natural numbers less than 1 000 000

AR.1.1.e: Compares natural numbers or arranges natural numbers in increasing or decreasing order

 Rational Numbers, Opposites, and Absolute Values

AR.1.2: Fractions

AR.1.2.a: Represents a fraction in a variety of ways (using objects or drawings)

 Adding Fractions (Fraction Tiles)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fraction Garden (Comparing Fractions)
 Fractions with Unlike Denominators
 Toy Factory (Set Models of Fractions)

AR.1.2.b: Identifies the different meanings of fractions: part of a whole, division, ratio, operator, measurement

 Beam to Moon (Ratios and Proportions)
 Dividing Fractions
 Dividing Mixed Numbers
 Fraction Garden (Comparing Fractions)
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Solving Algebraic Equations II
 Toy Factory (Set Models of Fractions)

AR.1.2.c: Verifies whether two fractions are equivalent

 Adding Fractions (Fraction Tiles)
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Toy Factory (Set Models of Fractions)

AR.1.2.e: Orders fractions with the same denominator or where one denominator is a multiple of the other or with the same numerator

 Adding Fractions (Fraction Tiles)
 Fraction Garden (Comparing Fractions)
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

AR.1.3: Decimals up to thousandths

AR.1.3.a: Represents decimals in a variety of ways (using objects or drawings) and identifies equivalent representations

 Comparing and Ordering Decimals
 Multiplying with Decimals
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

AR.1.3.b: Reads and writes numbers written in decimal notation

 Comparing and Ordering Decimals

AR.1.3.d: Composes and decomposes a number written in decimal notation and recognizes equivalent expressions

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

AR.1.3.e: Compares numbers written in decimal notation or arranges them in increasing or decreasing order

 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values

AR.1.4: Integers

AR.1.4.a: Represents integers in a variety of ways (using objects or drawings)

 Adding and Subtracting Integers

AR.1.4.c: Compares integers or arranges integers in increasing or decreasing order

 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

AR.1.5: Expresses numbers in a variety of ways (fractional, decimal percentage notation)

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

AR.1.6: Represents, reads and writes numbers written in fractional or decimal notation

 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Toy Factory (Set Models of Fractions)

AR.1.7: Approximates, in various contexts, the numbers under study (e.g. estimates, rounds off, truncates)

 Estimating Sums and Differences
 Multiplying with Decimals
 Proportions and Common Multipliers
 Sums and Differences with Decimals

AR.1.10: Defines the concept absolute value in context (e.g. difference between two numbers, distance between two points)

 Absolute Value with Linear Functions

AR.1.11: Represents and writes

AR.1.11.b: squares and square roots

 Simplifying Radical Expressions
 Square Roots

AR.1.15: Compares and arranges in order

AR.1.15.a: numbers written in fractional or decimal notation

 Adding Fractions (Fraction Tiles)
 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

AR.1.15.b: numbers expressed in different ways (fractional, decimal, exponential [integral exponent], percentage, square root, scientific notation)

 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Rational Numbers, Opposites, and Absolute Values
 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

AR.2: Understanding operations involving real numbers

AR.2.1: Natural numbers less than 1 000 000

AR.2.1.b: Uses objects, diagrams or equations to represent a situation and, conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of the four operations)

 Chocomatic (Multiplication, Arrays, and Area)

AR.2.1.d: Determines numerical equivalencies using relationships between operations, the commutative and associative properties of addition and multiplication, the distributive property of multiplication over addition or subtraction

 Simplifying Algebraic Expressions II

AR.2.1.e: Translates a situation using a sequence of operations in accordance with the order of operations

 Order of Operations

AR.2.2: Fractions

AR.2.2.a: Uses objects, diagrams or an operation to represent a situation and, conversely, describes a situation represented by objects, diagrams or an operation (use of different meanings of addition, subtraction and multiplication by a natural number)

 Fractions with Unlike Denominators

AR.2.3: Decimals

AR.2.3.a: Uses objects, diagrams or equations to represent a situation and, conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of the four operations)

 Multiplying with Decimals

AR.2.5: Looks for equivalent expressions: decomposing (additive, multiplicative, etc.), equivalent fractions, simplifying and reducing, factoring, etc.

 Fractions with Unlike Denominators
 Part-to-part and Part-to-whole Ratios

AR.2.6: Translates (mathematizes) a situation using a sequence of operations (no more than two levels of parentheses)

 Order of Operations

AR.2.7: Anticipates the results of operations

 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

AR.2.8: Interprets the results of operations in light of the context

 Adding on the Number Line
 Dividing Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

AR.3: Operations involving real numbers

AR.3.1: Natural numbers less than 1 000 000

AR.3.1.a: Approximates the result of an operation

 Sums and Differences with Decimals

AR.3.1.b: Using personal processes, mentally computes operations

 Adding Fractions (Fraction Tiles)
 Adding on the Number Line
 Fractions Greater than One (Fraction Tiles)
 Multiplying Fractions
 Multiplying Mixed Numbers
 Sums and Differences with Decimals

AR.3.1.c: Determines in writing

AR.3.1.c.1: the sum of two natural numbers of up to 4 digits

 Sums and Differences with Decimals

AR.3.1.c.2: the difference between two natural numbers of up to 4 digits whose result is greater than 0

 Sums and Differences with Decimals

AR.3.2: Fractions (using objects or diagrams)

AR.3.2.a: Generates a set of equivalent fractions

 Adding Fractions (Fraction Tiles)
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Toy Factory (Set Models of Fractions)

AR.3.2.b: Reduces a fraction to its simplest form

 Adding Fractions (Fraction Tiles)
 Estimating Sums and Differences
 Multiplying Fractions
 Toy Factory (Set Models of Fractions)

AR.3.2.c: Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction

 Adding Fractions (Fraction Tiles)
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers

AR.3.3: Decimal numbers up to thousandths

AR.3.3.a: Approximates the result of an operation

 Multiplying with Decimals
 Square Roots
 Sums and Differences with Decimals

AR.3.3.b: Mentally computes

AR.3.3.b.1: operations (addition, subtraction, multiplication, division by a natural number)

 Square Roots
 Sums and Differences with Decimals

AR.3.3.c: Computes in writing

AR.3.3.c.1: additions and subtractions of numbers whose result does not go beyond the second decimal place

 Sums and Differences with Decimals

AR.3.3.c.2: multiplications of numbers whose product does not go beyond the second decimal place

 Multiplying with Decimals
 Square Roots

AR.3.5: Approximates the result of an operation or sequence of operations

 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

AR.3.6: Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operations

 Adding Fractions (Fraction Tiles)
 Adding on the Number Line
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Percents, Fractions, and Decimals
 Sums and Differences with Decimals

AR.3.7: Computes, in writing, the four operations with numbers that are easy to work with (including large numbers), using equivalent ways of writing numbers and the properties of operations

AR.3.7.b: positive numbers written in fractional notation, with or without the use of objects or diagrams

 Adding Fractions (Fraction Tiles)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers

AR.3.10: Switches, as needed, from one way of writing numbers to another: from fractional to percentage notation, from decimal to fractional notation, from decimal to percentage notation, and vice versa

 Percents, Fractions, and Decimals

AR.3.11: Switches, as needed, from one way of writing numbers to another

 Fraction Garden (Comparing Fractions)
 Percents, Fractions, and Decimals

AR.3.13: Decomposes a natural number into prime factors

 Finding Factors with Area Models

AR.4: Understanding and analyzing proportional situations

AR.4.1: Calculates

AR.4.1.a: a certain percentage of a number

 Percent of Change
 Percents and Proportions

AR.4.1.b: the value corresponding to 100 per cent

 Beam to Moon (Ratios and Proportions)
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals

AR.4.2: Recognizes ratios and rates

 Beam to Moon (Ratios and Proportions)
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

AR.4.3: Interprets ratios and rates

 Beam to Moon (Ratios and Proportions)
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

AR.4.4: Describes the effect of changing a term in a ratio or rate

 Beam to Moon (Ratios and Proportions)
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

AR.4.7: Recognizes a proportional situation using the context, a table of values or a graph

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers

AR.4.8: Represents or interprets a proportional situation using a graph, a table of values or a proportion

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

AL: Algebra

AL.1: Understanding and manipulating algebraic expressions

AL.1.A: Algebraic expressions

AL.1.A.1: Describes, using his/her own words and mathematical language, numerical patterns

 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Equations
 Using Algebraic Expressions

AL.1.A.2: Describes, using his/her own words and mathematical language, series of numbers and family of operations

 Arithmetic Sequences
 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Equations
 Using Algebraic Expressions

AL.1.A.3: Adds new terms to a series when the first three terms or more are given

 Arithmetic Sequences

AL.1.A.4: Describes the role of components of algebraic expressions:

AL.1.A.4.a: unknown

 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Equations on the Number Line
 Using Algebraic Equations

AL.1.A.4.b: variable, constant

 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Equations on the Number Line
 Using Algebraic Equations

AL.1.A.4.c: parameter

 Compound Interest

AL.1.A.4.d: coefficient, degree, term, constant term, like terms

 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

AL.1.A.5: Constructs an algebraic expression using a register (type) of representation

 Compound Interest
 Simplifying Algebraic Expressions II
 Using Algebraic Equations

AL.1.A.6: Interprets an algebraic expression in light of the context

 Compound Interest

AL.1.A.7: Recognizes or constructs equivalent algebraic expressions

 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Exponents and Power Rules
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
 Multiplying Exponential Expressions
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Expressions

AL.1.A.8: Recognizes or constructs

AL.1.A.8.a: equalities and equations

 Absolute Value Equations and Inequalities
 Linear Functions
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Solving Equations on the Number Line
 Using Algebraic Equations

AL.1.B: Manipulating algebraic expressions

AL.1.B.1: Calculates the numeric value of an algebraic expression

 Compound Interest
 Order of Operations
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line

AL.1.B.2: Performs the following operations on algebraic expressions, with or without objects or diagrams: addition and subtraction, multiplication and division by a constant, multiplication of first-degree monomials

 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Multiplying Exponential Expressions

AL.1.C: Analyzing situations using equations or inequalities

AL.1.C.1: Recognizes whether a situation can be translated by

AL.1.C.1.a: an equation

 Linear Functions
 Solving Equations on the Number Line
 Using Algebraic Equations

AL.1.C.2: Recognizes or constructs

AL.1.C.2.a: relations or formulas

 Introduction to Functions
 Linear Functions

AL.1.C.3: Manipulates relations or formulas (e.g. isolates an element)

 Area of Triangles

AL.1.C.4: Represents a situation using

AL.1.C.4.a: a first-degree equation with one unknown

 Absolute Value Equations and Inequalities
 Arithmetic Sequences
 Geometric Sequences
 Linear Functions
 Solving Equations by Graphing Each Side
 Solving Two-Step Equations

AL.1.C.6: Determines the missing term in an equation (relations between operations): a + b = □, a + □ = c, □ + b = c, a – b = □, a – □ = c, □ – b = c, a × b = □, a × □ = c, □ × b = c, a ÷ b = □, a ÷ □ = c, □ ÷ b = c

 Modeling One-Step Equations
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line

AL.1.C.7: Transforms arithmetic equalities and equations to maintain equivalence (properties and rules for transforming equalities) and justifies the steps followed, if necessary

 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Solving Two-Step Equations

AL.1.C.8: Transforms inequalities to maintain equivalence (properties and rules for transforming inequalities) and justifies the steps followed, if necessary

 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable

AL.1.C.9: Uses different methods to solve first-degree equations with one unknown of the form ax + b = cx + d: trial and error, drawings, arithmetic methods (inverse or equivalent operations), algebraic methods (balancing equations or hidden terms)

 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Solving Two-Step Equations

AL.2: Understanding dependency relationships

AL.2.A: Relations, functions and inverses

AL.2.A.1: Identifies patterns in various situations and in various forms

 Arithmetic Sequences
 Finding Patterns
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Geometric Sequences
 Pattern Finder

AL.2.A.2: Analyzes situations using different registers (types) of representation

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

AL.2.A.3: Represents a situation generally using a graph

 Absolute Value with Linear Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations
 Quadratics in Polynomial Form

P: Probability

P.1: Understanding data from random experiments

P.1.A: Processing data from random experiments

P.1.A.1: Simulates random experiments with or without the use of technological tools

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

P.1.A.2: Experiments with activities involving chance, using various objects (e.g. spinners, rectangular prisms, glasses, marbles, thumb tacks, 6-, 8- or 12-sided dice)

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

P.1.A.3: In activities involving chance

P.1.A.3.b: recognizes equiprobability (e.g. quantity of objects, symmetry of an object such as a cube)

 Probability Simulations

P.1.A.3.c: becomes aware of the independence of events (e.g. rolling dice, tossing a coin, drawing lots)

 Independent and Dependent Events

P.1.A.5: Compares the outcomes of a random experiment with known theoretical probabilities

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

P.1.A.6: Distinguishes between prediction and outcome

 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

P.1.A.7: Conducts or simulates random experiments involving one or more steps (with or without replacement, with or without order)

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

P.1.A.9: Enumerates the possible outcomes of a random experiment using

P.1.A.9.a: tables, tree diagram

 Permutations and Combinations

P.1.A.10: Defines the sample space of a random experiment

 Independent and Dependent Events
 Spin the Big Wheel! (Probability)

P.1.A.11: Recognizes certain, probable, impossible, simple, complementary, compatible, incompatible, dependent, independents events

 Geometric Probability
 Independent and Dependent Events
 Theoretical and Experimental Probability

P.1.A.13: Uses fractions, decimals or percentages to quantify a probability

 Estimating Population Size
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

P.1.A.14: Recognizes that a probability is always between 0 and 1

 Geometric Probability
 Independent and Dependent Events

P.1.A.15: Predicts qualitatively an outcome or several events using a probability line, among other things

P.1.A.15.a: certain, possible or impossible outcome

 Geometric Probability
 Independent and Dependent Events

P.1.A.15.b: more likely, just as likely, less likely event

 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

P.1.B: Analyzing probability situations

P.1.B.1: Represents an event using different registers (types of representation)

 Independent and Dependent Events
 Spin the Big Wheel! (Probability)

P.1.B.2: Compares qualitatively the theoretical or experimental probability of an event occurring

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

P.1.B.3: Distinguishes between theoretical and experimental probability

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

P.1.B.4: Calculates the probability of an event

 Geometric Probability
 Independent and Dependent Events
 Theoretical and Experimental Probability

P.1.B.9: Interprets probabilities and makes appropriate decisions

 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

S: Statistics

S.1: Analyzing and making decisions about one- or two-variable distributions, using statistical tools

S.1.A: One-variable distributions

S.1.A.1: Conducts a survey or a census

S.1.A.1.a: Formulates questions for a survey

 Correlation
 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Polling: Neighborhood
 Reaction Time 2 (Graphs and Statistics)

S.1.A.1.b: Chooses a sampling method:

S.1.A.1.b.i: simple random, systematic

 Polling: City
 Polling: Neighborhood
 Populations and Samples

S.1.A.1.c: Chooses a representative sample

 Polling: City
 Polling: Neighborhood

S.1.A.1.d: Collects, describes and organizes data (classifies or categorizes) using tables

 Describing Data Using Statistics
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

S.1.A.2: Recognizes possible sources of bias

 Polling: Neighborhood
 Populations and Samples

S.1.A.3: Interprets data presented in a table or a bar graph, a pictograph, a broken-line graph or a circle graph

 Elevator Operator (Line Graphs)
 Forest Ecosystem
 Graphing Skills
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)

S.1.A.5: Chooses appropriate register(s) (types) of representation to organize, interpret and present data

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Graphing Skills
 Reaction Time 2 (Graphs and Statistics)

S.1.A.6: Organizes and presents data using

S.1.A.6.a: a table, a bar graph, a pictograph and a broken-line graph

 Describing Data Using Statistics
 Distance-Time Graphs
 Elevator Operator (Line Graphs)
 Forest Ecosystem
 Graphing Skills
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

S.1.A.6.b: a table presenting variables or frequencies, or using a circular graph

 Graphing Skills
 Histograms

S.1.A.7: Compares one-variable distributions

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram

S.1.A.8: Understands and calculates the arithmetic mean

 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

S.1.A.9: Describes the concept of arithmetic mean (leveling or balance point)

 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

S.1.A.10: Calculates and interprets an arithmetic mean

 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 2 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

S.1.A.11: Determines and interprets

S.1.A.11.b: measures of dispersion:

S.1.A.11.b.i: range

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

S.1.A.11.c: measures of position:

S.1.A.11.c.i: minimum, maximum

 Box-and-Whisker Plots

S.1.A.12: Chooses the appropriate statistical measures for a given situation

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)

G: Geometry

G.1: Spatial sense and analyzing situations involving geometric figures

G.1.A: Plane figures

G.1.A.2: Describes and classifies quadrilaterals

 Classifying Quadrilaterals
 Parallelogram Conditions
 Special Parallelograms

G.1.A.3: Describes and classifies triangles

 Classifying Triangles
 Concurrent Lines, Medians, and Altitudes
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Similarity in Right Triangles
 Triangle Inequalities

G.1.A.4: Describes circles: radius, diameter, circumference, central angle

 Chords and Arcs
 Circles
 Circumference and Area of Circles
 Inscribed Angles

G.1.A.6: Decomposes plane figures into circles (sectors), triangles or quadrilaterals

 Area of Triangles
 Polygon Angle Sum

G.1.A.8: Recognizes and draws main segments and lines

G.1.A.8.a: diagonal, altitude, median, perpendicular bisector, bisector, apothem, radius, diameter, chord

 Elevator Operator (Line Graphs)
 Parallelogram Conditions
 Special Parallelograms

G.1.A.8.b: leg, hypotenuse

 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Special Parallelograms

G.1.A.9: Identifies the properties of plane figures using geometric transformations and constructions

 Circles
 Dilations
 Reflections
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Translations

G.1.A.10: Justifies statements using definitions or properties of plane figures

 Classifying Quadrilaterals

G.1.B: Solids

G.1.B.2: Determines the possible nets of a solid

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

G.1.B.3: Names the solid corresponding to a net

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

G.1.B.4: Describes solids:

G.1.B.4.b: altitude, apothem, lateral face

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

G.1.B.6: Recognizes solids that can be split into

G.1.B.6.a: right prisms, right cylinders, right pyramids

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

G.1.C: Geometric constructions and transformations in the Euclidian plane

G.1.C.2: Identifies properties and invariants resulting from geometric constructions and transformations

 Circles
 Dilations
 Reflections
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Translations

G.1.C.3: Identifies congruence (translation, rotation and reflection) between two figures

 Reflections
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Translations

G.1.C.4: Constructs the image of a figure under a translation, rotation and reflection

 Holiday Snowflake Designer
 Reflections
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Similar Figures
 Translations

G.1.C.5: Recognizes dilatation with a positive scale factor

 Dilations
 Similar Figures

G.1.D: Congruent, similar or equivalent figures

G.1.D.3: Recognizes the geometric transformation(s) linking a figure and its image

 Dilations
 Rotations, Reflections, and Translations
 Translations

G.1.D.4: Determines the properties and invariants of congruent or similar figures

 Constructing Congruent Segments and Angles
 Perimeters and Areas of Similar Figures
 Similar Figures
 Similarity in Right Triangles

G.1.D.8: Justifies statements using definitions or properties of congruent, similar or equivalent figures, depending on the cycle and year

 Constructing Congruent Segments and Angles

G.2: Analyzing situations involving measurements

G.2.B: Time

G.2.B.4: Distinguishes between duration and position in time

 Elapsed Time

G.2.C: Angles

G.2.C.3: Describes the characteristics of different types of angles: complementary, supplementary, adjacent, vertically opposite, alternate interior, alternate exterior and corresponding

 Investigating Angle Theorems
 Triangle Angle Sum

G.2.C.4: Determines measures of angles using the properties of the following angles: complementary, supplementary, vertically opposite, alternate interior, alternate exterior and corresponding

 Investigating Angle Theorems
 Similar Figures
 Similarity in Right Triangles
 Triangle Angle Sum

G.2.C.5: Finds unknown measurements using the properties of figures and relations

G.2.C.5.a: measures of angles in a triangle

 Isosceles and Equilateral Triangles
 Polygon Angle Sum
 Triangle Angle Sum

G.2.C.5.b: degree measures of central angles and arcs

 Chords and Arcs
 Inscribed Angles

G.2.C.8: Justifies statements using definitions or properties associated with angles and their measures

 Triangle Angle Sum

G.2.D: Length

G.2.D.2: Estimates and measures the dimensions of an object using conventional units: millimetre, centimetre, decimetre, metre and kilometre

 Measuring Trees

G.2.D.4: Constructs relations that can be used to calculate the perimeter or circumference of figures

 Circumference and Area of Circles
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

G.2.D.5: Finds the following unknown measurements, using properties of figures and relations

G.2.D.5.a: perimeter of plane figures

 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

G.2.E: Area

G.2.E.1: Chooses the appropriate unit of area for the context

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)

G.2.E.4: Constructs relations that can be used to calculate the area of plane figures: quadrilateral, triangle, circle (sectors)

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Circumference and Area of Circles
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

G.2.E.6: Finds unknown measurements, using properties of figures and relations

G.2.E.6.b: area of figures that can be split into circles (sectors), triangles or quadrilaterals

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)

G.2.E.6.c: lateral or total area of right prisms, right cylinders and right pyramids

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

G.2.E.6.d: lateral or total area of solids that can be split into right prisms, right cylinders or right pyramids

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

G.2.E.7: Justifies statements concerning measures of area

 Area of Triangles

G.2.G: Metric or trigonometric relations

G.2.G.1: Determines, through exploration or deduction, different metric relations associated with plane figures

 Beam to Moon (Ratios and Proportions)

AG: Analytic Geometry

AG.1: Analyzing situations using analytic geometry

AG.1.A: Locating

AG.1.A.1: Locates objects/numbers on an axis, based on the types of numbers studied

 Points in the Coordinate Plane

AG.1.A.2: Locates points in a Cartesian plane, based on the types of numbers studied (x and y-coordinates of a point)

 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Linear Functions
 Point-Slope Form of a Line
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope

Correlation last revised: 1/26/2017

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.