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.