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

Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles

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: 4/4/2018

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