A: Arithmetic

A.C: Arithmetic Concepts

A.C.1: Number Sense With Regard to Decimal and Fractional Notation and Operation Sense

A.C.1.1: Reading, writing, various representations, patterns, properties

Finding Patterns
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

A.C.1.2: Fractional, decimal and exponential (integral exponent) notation; percentage, square root

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Ordering Percents, Fractions and Decimals
Percents, Fractions and Decimals

A.C.1.4: Rules of signs for numbers written in decimal notation

Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips

A.C.1.5: Equality relation: meaning, properties and rules for transforming numerical equalities (balancing equalities)

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations

A.C.1.6: Inverse operations: addition and subtraction, multiplication and division, square and square root

Number Line Frog Hop (Addition and Subtraction)
Ordering and Approximating Square Roots
Square Roots

A.C.1.7: Properties of operations:

A.C.1.7.b: Distributive property of multiplication over addition or subtraction and factoring out the common factor

Chocomatic (Multiplication, Arrays, and Area)

A.C.1.8: Order of operations and the use of no more than two levels of parentheses in different contexts

Order of Operations

A.C.3: Understanding Proportionality

A.C.3.1: Ratio and Rate

A.C.3.1.a: Ratios and Equivalent Rates

Beam to Moon (Ratios and Proportions)
Part:Part and Part:Whole Ratios

A.C.3.1.b: Unit Rate

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Measuring Motion

A.C.3.2: Proportion

A.C.3.2.a: Equality of ratios and rates

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Percents and Proportions

A.C.3.2.b: Ratio and proportionality coefficient

Dilations
Perimeters and Areas of Similar Figures
Proportions and Common Multipliers

A.C.3.3: Direct or inverse variation

Direct Variation
Direct and Inverse Variation

A.P: Arithmetic Processes

A.P.1: Different Ways of Writing and Representing Numbers

A.P.1.3: Using a variety of representations (e.g. numerical, graphic)

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)

A.P.1.4: Recognizing and using equivalent ways of writing numbers:

Factor Trees (Factoring Numbers)
Finding Factors with Area Models
Number Line Frog Hop (Addition and Subtraction)
Target Sum Card Game (Multi-digit Addition)

A.P.1.4.b: Equivalent fractions

Comparing and Ordering Fractions
Equivalent Fractions (Fraction Tiles)

A.P.1.5: Switching from one way of writing numbers to another or from one type of representation to another

Fraction, Decimal, Percent (Area and Grid Models)
Ordering Percents, Fractions and Decimals
Percent of Change
Percents, Fractions and Decimals

A.P.1.7: Locating numbers on a number line, abscissa (x-coordinate) of a point

Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Real Number Line - Activity A

A.P.2: Operations Involving Numbers Written in Decimal and Fractional Notation

A.P.2.1: Estimating and rounding numbers in different situations

Time Estimation

A.P.2.3: Approximating the result of an operation

Estimating Sums and Differences

A.P.2.4: Simplifying the terms of an operation

Order of Operations

A.P.2.6: Written computation: the four operations involving numbers that are easy to work with (including large numbers) and sequences of simple operations performed in the proper order (numbers written in decimal notation), using equivalent ways of writing numbers and the properties of operations

Order of Operations

A.P.2.7: Use of a calculator: operations and sequences of operations performed in the proper order

Order of Operations

A.P.3: Working With a Proportional Situation

A.P.3.1: Comparison of ratios and of rates

Beam to Moon (Ratios and Proportions)
Part:Part and Part:Whole Ratios

A.P.3.2: Recognizing a proportional situation by referring to the context, a table of values or a graph

Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Estimating Population Size
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Wheel and Axle

A.P.3.3: Solving a proportional situation

Estimating Population Size
Percents and Proportions
Proportions and Common Multipliers

A.P.3.4: Finding ordered pairs in a Cartesian plane [abscissa (x-coordinate) and ordinate (y-coordinate) of a point

Points in the Coordinate Plane - Activity A

B: Algebra

B.C: Algebra Concepts

B.C.1: Algebraic expression

B.C.1.a: Variable

Using Algebraic Equations
Using Algebraic Expressions

B.C.1.b: Coefficient

Using Algebraic Equations
Using Algebraic Expressions

B.C.2: Equality, equation and unknown

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations with Decimals
Solving Two-Step Equations

B.C.3: First-degree equation with one unknown expressed in the form ax+b = cx + d

Solving Equations By Graphing Each Side

B.P: Algebra Processes

B.P.1: Constructing an algebraic expression

Finding Patterns
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Using Algebraic Equations
Using Algebraic Expressions

B.P.2: Recognizing and finding equivalent algebraic expressions

Finding Patterns
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

B.P.3: Numerical evaluation of an algebraic expression

Using Tables, Rules and Graphs

B.P.4: Manipulating algebraic expressions

B.P.4.a: Addition and subtraction

Modeling One-Step Equations - Activity A
Solving Equations with Decimals

B.P.4.b: Multiplication and division by a constant

Modeling and Solving Two-Step Equations
Solving Two-Step Equations

C: Probability

C.C: Probability Concepts

C.C.1: Random Experiment

C.C.1.a: Random experiments involving one or more steps (with or without replacement, with or without order)

Probability Simulations
Spin the Big Wheel! (Probability)

C.C.1.b: Outcome of a random experiment

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

C.C.1.c: Sample space

Compound Independent and Dependent Events
Permutations
Permutations and Combinations

C.C.2: Event

C.C.2.a: Certain, probable and impossible events

Spin the Big Wheel! (Probability)

C.C.2.b: Simple, complementary, compatible, incompatible, dependent and independent events

Compound Independent and Dependent Events
Probability Simulations

C.C.3: Theoretical probability and experimental probability

Probability Simulations
Theoretical and Experimental Probability

C.P: Probability Processes

C.P.1: Enumerating possibilities using different types of representations: tree diagram, network, table, etc

Permutations
Permutations and Combinations

C.P.2: Calculating the probability of an event

Compound Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

D: Statistics

D.C: Statistics Concepts

D.C.1: Population, sample

D.C.1.a: Sample survey, poll, census

Polling: City
Polling: Neighborhood
Populations and Samples

D.C.1.b: Representative sample

Polling: Neighborhood

D.C.1.c: Sampling methods: simple random, systematic

Polling: Neighborhood

D.C.1.d: Sources of bias

Polling: Neighborhood

D.C.3: Table: characteristics, frequencies

Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

D.C.4: Reading graphs

D.C.4.a: bar graphs

Graphing Skills
Line Plots
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

D.C.4.b: broken-line graphs

Distance-Time Graphs
Elevator Operator (Line Graphs)
Forest Ecosystem
Graphing Skills

D.C.4..c: circle graphs

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Spin the Big Wheel! (Probability)

D.C.5: Arithmetic mean and range

Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

D.P: Statistics Processess

D.P.1: Conducting a survey or a census

D.P.1.a: Determining the population or the sample

Polling: City
Polling: Neighborhood
Populations and Samples

D.P.2: Organizing and choosing certain tools to present data

D.P.2.2: Constructing graphs

D.P.2.2.a: bar graphs

Graphing Skills
Line Plots
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

D.P.2.2.b: broken-line graphs

Distance-Time Graphs
Elevator Operator (Line Graphs)
Forest Ecosystem
Graphing Skills

D.P.2.2.c: circle graphs

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Spin the Big Wheel! (Probability)

D.P.2.3: Highlighting some of the information that can be derived from a table or a graph (e.g. minimum value, maximum value, range, mean)

Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

E: Geometry

E.C: Geometry Concepts

E.C.1: Plane Figures

E.C.1.1: Triangles, quadrilaterals and regular convex polygons

E.C.1.1.a: Main segments and liens: bisector, perpendicular bisector, median, altitude

Bisectors in Triangles
Concurrent Lines, Medians, and Altitudes

E.C.1.1.b: Base, height

Area of Parallelograms - Activity A

E.C.1.2: Circle and sector

E.C.1.2.a: Radius, diamter, chord, arc

Chords and Arcs
Measuring Trees

E.C.1.3: Measurement

E.C.1.3.b: Length

Measuring Trees

E.C.1.3.c: Perimeter, circumference

Circle: Circumference and Area
Measuring Trees
Rectangle: Perimeter and Area

E.C.1.3.d: Area, lateral area, total area

Area of Parallelograms - Activity A
Circle: Circumference and Area

E.C.2: Angles

E.C.2.1: Complementory, supplementory

Investigating Angle Theorems - Activity A

E.C.2.2: Formed by two intersecting lines: vertically opposite, adjacent

Investigating Angle Theorems - Activity A

E.C.2.3: Formed by a transal intersecting two other lines: alternate interior, alternate exterior, corresponding

Investigating Angle Theorems - Activity A

E.C.3: Solids

E.C.3.1: Right prisms, right pyramids and right cylinders

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

E.C.3.2: Possible nets of a solid

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

E.C.4: Congruent and similar figures

Area of Parallelograms - Activity B
Proving Triangles Congruent
Similar Figures - Activity A
Similarity in Right Triangles

E.P: Geometry Processes

E.P.1: Geometric constructions

Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles

E.P.2: Geometric transformations

E.P.2.1: Translation, rotation, reflection

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

E.P.2.2: Dilation with a positive scale factor

Similar Polygons

E.P.3: Finding unknown measureents

E.P.3.1: Angles

E.P.3.1.a: Unknown measurement in different situations

Reflections
Rotations, Reflections and Translations
Similar Figures - Activity A
Translations

E.P.3.2: Lengths

E.P.3.2.a: Perimeter of a plane figure

Fido's Flower Bed (Perimeter and Area)
Rectangle: Perimeter and Area

E.P.3.2.b: Circumference of a circle and arc length

Circle: Circumference and Area

E.P.3.2.e: Perimeter of a figure resulting from a similarity transformation

Perimeters and Areas of Similar Figures

E.P.3.2.f: Segments resulting from an isometry or a similarity transformation

Reflections
Rotations, Reflections and Translations
Similar Figures - Activity A
Translations

E.P.3.2.g: Unknown measure of a segment in a plane figure

Similarity in Right Triangles

E.P.3.3: Areas

E.P.3.3.a: Area of polygons that can be split into triangles and quadrilaterals

Area of Parallelograms - Activity A

E.P.3.3.b: Area of circles and sectors

Sine and Cosine Ratios - Activity A

E.P.3.3.d: Lateral or total area of right prisms, right cylinders, and right pyramids

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

Correlation last revised: 2/12/2010

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