3

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

K Number Counting and Cardinality K: Number Sense

Grade 1: Number

Grade 1: Patterning and Algebra

K: Number Games

Elementary Cycle 1: Cultural References

K: Number

Grade 1: Number

Operations and Algebraic Thinking K: Number Sense K: Number Games Not required

Not required:

• fluent fact knowledge within 5

Number and Operations in Base Ten Grade 1: Number K: Estimating Games Grade 1: Number

Measurement Measurement and Data K: Measurement

Grade 1: Measurement

K: Comparison Games

Elementary Cycle 1: Measurement

K: Shape and Space

Grade 1: Shape and Space

Data Analysis and Probability

Measurement and Data K: Data Management and Probability Not expected in K Not expected in K

Geometry Geometry K: Geometry

Grade 1: Geometry

Grade 2: Geometry

Grade 3: Geometry

K: Shape Games

Elementary Cycle 1: Geometry

K: Shape and Space

Grade 1: Shape and Space

Grade 2: Shape and Space

Not required:

• positional language

• composing shapes independently

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade K

1 Starting with CCSM.indd 3 1/28/13 9:22 AM

4

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

1 NumberAlgebra

Operations and Algebraic Thinking Grade 1: Number

Grade 2: Patterning and Algebra, Number

Grade 3: Patterning and Algebra

Elementary Cycle 1: Arithmetic

Elementary Cycle 1: Cultural References

Grade 1: Patterns and Relations, Number

Grade 2: Patterns and Relations, Number

Number Number and Operations in Base Ten Grade 1: Number

Grade 2: Number

Elementary Cycle 1: Arithmetic Grade 1: Number

Grade 2: Number

Not required:

• counting past 100

Measurement Measurement and Data K: Measurement

Grade 1: Measurement

Elementary Cycle 1: Measurement Grade 2: Shape and Space

Not required:

• indirect measurement comparisons using a third object

Not required:

• reading a clock

Not required:

• reading a clock

Data Analysis and Probability

Measurement and Data Grade 1: Data Management and Probability

Grade 2: Data Management and Probability

Grade 3: Data Management and Probability

Elementary Cycle 1: Statistics Not addressed

GeometryNumber

Geometry Grade 1: Number, Geometry

Grade 2: Geometry

No related essential skills Grade 1: Shape and Space

Not required:

• distinguishing between defining and non-defining attributes of shapes

Not required:

• distinguishing between defining and non-defining attributes of shapes

• composing 2-D shapes

• halving and quartering shapes and describing with fractions

Not required:

• distinguishing between defining and non-defining attributes of shapes

• composing 2-D shapes indepen-dently

• fractional language

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 1

1 Starting with CCSM.indd 4 1/28/13 9:22 AM

5

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

2 Number Operations and Algebraic Thinking Grade 1: Number

Grade 2: Number

Elementary Cycle 1: Arithmetic Grade 2: Number

Grade 3: Number

Not required:

• fluency with or memory of all single-digit sums (explicitly)

• classifying numbers as even or odd

• using addition to calculate total in an array

Not required:

• fluency with or memory of all single-digit sums (explicitly)

• using addition to calculate total in an array

Not required:

• using addition to calculate total in an array

Number and Operations in Base Ten Grade 2: Number

Grade 3: Number

Elementary Cycle 1: Arithmetic Grade 2: Number

Grade 3: Number

Measurement Number

Measurement and Data Grade 3: Measurement Elementary Cycle 1: Measurement

Elementary Cycle 1: Cultural References

Grade 2: Shape and Space

Grade 3: Shape and Space

Not required:

• use of Imperial units

• comparing measurements with dif-ferent units

• solving addition/subtraction prob-lems involving measurement

• representing lengths on number lines

Not required:

• use of Imperial units

• comparing measurements with dif-ferent units

• solving addition/subtraction prob-lems involving measurement

• representing lengths on number lines

• reading a clock

• working with money

Not required:

• use of Imperial units

• solving addition/subtraction prob-lems involving measurement

• representing lengths on number lines

• reading a clock

Data Analysis and Probability

Measurement and Data Grade 2: Data Management and Probability

Elementary Cycle 1: Statistics Grade 2: Statistics and Probability

Grade 3: Statistics and Probability

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 2

1 Starting with CCSM.indd 5 1/28/13 9:22 AM

6

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

2 Data Analysis and Probability

Measurement and Data Not required:

• collecting measurement data to display

• line plots

Not required:

• collecting measurement data to display

• line plots

Not required:

• collecting measurement data to display

• bar graphs (at this level)

GeometryNumber

Geometry Grade 1: Number

Grade 2: Number

Not addressed Grade 2: Shape and Space

Not required:

• drawing of shapes

• partitioning a rectangle into equal rows and columns to count

• recognizing that equal shares of a whole need not be congruent

Not required:

• cutting shape into equal fractional parts

• partitioning a rectangle into equal rows and columns to count

• recognizing that equal shares of a whole need not be congruent

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 2

1 Starting with CCSM.indd 6 1/28/13 9:22 AM

7

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

3 NumberAlgebra

Operations and Algebraic Thinking Grade 2: Number

Grade 3: Patterning and Algebra, Number

Grade 4: Patterning and Algebra, Number

Elementary Cycle 2: Arithmetic Grade 3: Number

Grade 4: Patterns and Relations, Number

Grade 5: Number

Not required:

• Identifying patterns using properties of operations

Number and Operations in Base Ten Grade 3: Number

Grade 4: Number

Elementary Cycle 1: Arithmetic Grade 3: Number

Number and Operations-Fractions Grade 3: Number

Grade 4: Number

Elementary Cycle 2: Arithmetic Grade 3: Number

Grade 4: Number

Grade 5: Number

Not required:

• use of a number line to represent fractions

Measurement Number

Measurement and Data Grade 3: Measurement

Grade 4: Measurement

Grade 5: Measurement

Elementary Cycle 2: Measurement

Elementary Cycle 3: Measurement

Grade 3: Shape and Space

Grade 4: Shape and Space

Grade 5: Shape and Space

Grade 6: Shape and Space

Not required:

• determining areas of shapes com-posed of rectangles

Not required:

• telling time

• calculating elapsed time

• formulas for areas of rectangles

• determining areas of figures com-posed of rectangles

Not required:

• calculating elapsed time

• determining areas of shapes com-posed of rectangles

Data Analysis and Probability

Measurement and Data Not addressed Elementary Cycle 1: Statistics Grade 3: Statistics and Probability

Grade 4: Statistics and Probability

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 3

1 Starting with CCSM.indd 7 1/28/13 9:22 AM

8

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

3 Data Analysis and Probability

Measurement and Data Not required:

• scaled graphs

• measuring in fractions of inches

• line plots based on measurements

Not required:

• measuring in fractions of inches

GeometryNumber

Geometry Grade 3: Geometry Elementary Cycle 2: Arithmetic

Elementary Cycle 2: Geometry

Grade 5: Shape and Space

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 3

1 Starting with CCSM.indd 8 1/28/13 9:22 AM

9

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

4 NumberAlgebra

Operations and Algebraic Thinking Grade 2: Patterning and Algebra

Grade 3: Patterning and Algebra Grade 4: Patterning and Algebra, Number

Grade 5: Patterning and Algebra, Number

Grade 6: Patterning and Algebra, Number

Grade 7: Number

Elementary Cycle 2: Arithmetic

Elementary Cycle 3: Arithmetic

Grade 2: Patterns and Relations

Grade 3: Patterns and Relations

Grade 4: Patterns and Relations, Number

Grade 5: Patterns and Relations

Grade 6: Number

Not required:

• multiplication thought of as com-parison

• multiplying or dividing four digit numbers

Not required:

• multiplication thought of as com-parison

Number and Operations in Base Ten Grade 4: Number

Grade 5: Number

Grade 6: Number

Elementary Cycle 2: Arithmetic

Elementary Cycle 3: Arithmetic Grade 4: Number

Grade 5: Number

Not required:

• rounding to a specific place value

• standard algorithms for operations

• multiplication or division involving 4-digit numbers

Number and Operations-Fractions Grade 4: Number

Grade 5: Number

Grade 6: Number

Grade 7: Number

Elementary Cycle 2: Arithmetic

Elementary Cycle 3: Arithmetic

Secondary Cycle 1: Arithmetic

Grade 4: Number

Grade 5: Number

Grade 6: Number

Grade 7: Number

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 4

1 Starting with CCSM.indd 9 1/28/13 9:22 AM

10

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

4 Measurement Measurement and Data Grade 3: Geometry

Grade 4: Measurement, Geometry

Grade 5: Measurement, Geometry

Grade 6: Measurement, Geometry

Elementary Cycle 2: Measurement

Elementary Cycle 3: Measurement, Geometry

Grade 6: Shape and Space (Measurement)

Not required:

• number line diagram representa-tions with scale

• solving word problems involving measurements

• use of Imperial units

Not required:

• number line diagram representa-tions with scale

• solving word problems involving measurements

• use of Imperial units

Not required:

• number line diagram representa-tions with scale

• solving word problems involving measurements

• use of Imperial units

• unit conversions

Data Analysis and Probability

Measurement and Data Not addressed Not addressed Not addressed

Geometry Geometry Grade 2: Geometry

Grade 3: Geometry

Grade 4: Geometry

Grade 5: Geometry

Elementary Cycle 2: Geometry

Elementary Cycle 3: Geometry

Grade 4: Shape and Space

Grade 5: Shape and Space

Not required:

• consideration of symmetry

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 4

1 Starting with CCSM.indd 10 1/28/13 9:22 AM

11

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

5 NumberAlgebra

Operations and Algebraic Thinking Grade 6: Number

Grade 7: Patterning and Algebra, Number

Elementary Cycle 3: Arithmetic

Secondary Cycle 1: Arithmetic

Grade 6: Number

Not required:

• pattern comparisons

Number and Operations in Base Ten Grade 4: Number

Grade 5: Number

Grade 6: Number

Grade 7: Number

Grade 8: Number

Elementary Cycle 2: Arithmetic

Elementary Cycle 3: Arithmetic

SecondaryCycle 1: Arithmetic

Grade 4: Number

Grade 5: Number

Grade 6: Number

Grade 7: Number

Not required:

• rounding decimals to any place

Not required:

• rounding decimals to any place

• use of a standard algorithm

• dividing 4-digit by 2-digit

Number and Operations-Fractions Grade 7: Number

Grade 8: Number

Elementary Cycle 3: Arithmetic

Secondary Cycle 1: Arithmetic

Grade 8: Number

Measurement Measurement and Data Grade 4: Measurement

Grade 5: Measurement

Grade 6: Measurement

Grade 7: Measurement

Grade 8: Measurement

Grade 12 MEL4E: Applications of Measurement

Elementary Cycle 2: Measurement

Elementary Cycle 3: Measurement

Grade 5: Shape and Space (Measurement)

Grade 6: Shape and Space (Measurement)

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 5

1 Starting with CCSM.indd 11 1/28/13 9:22 AM

12

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

5 Measurement Measurement and Data Not required:

• adding volumes of composite shapes

Not required:

• adding volumes of composite shapes

Not required:

• unit conversion

• adding volumes of composite shapes

Data Analysis and Probability

Measurement and Data Not addressed Not addressed Not addressed

Geometry Geometry Grade 5: Geometry

Grade 6: Geometry

Grade 7: Geometry

Elementary Cycle 2: Geometry Elementary Cycle 3: Geometry

Grade 5: Shape and Space

Grade 6: Shape and Space

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 5

1 Starting with CCSM.indd 12 1/28/13 9:22 AM

13

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

6 Number Ratios and Proportional Relationships Grade 5: Number

Grade 6: Number

Grade 7: Number

Grade 8: Number

Grade 9 MFM1D & 9 MFM1P: Number Sense and Algebra

Grade 12 MAP4C: Geometry and Trigonometry

Grade 12 MEL4E: Applications of Measurement

Elementary Cycle 3: Arithmetic

Secondary Cycle 1: Arithmetic

Grade 6: Number

Grade 7: Number

Grade 10 AW: Measurement

Grade 11 Foundations: Measurement

NumberGeometry

The Number System Grade 7: Number, Geometry

Grade 8: Number

Elementary Cycle 3: Arithmetic, Geometry

Secondary Cycle 1: Arithmetic, Algebra

Secondary Cycle 2, Year 2, CST, TS & S: Arithmetic

Grade 6: Number

Grade 7: Shape and Space

Grade 8: Number

Grade 9: Number

Grade 10 C: Algebra and Number

Grade 11 Pre-Calc: Algebra and Number

Not required:

• factoring out a common multiple to simplify an expression

• use of absolute value notation to describe integer distances from 0

Not required:

• use of absolute value notation to describe integer distances from 0

Not required:

• use of a standard algorithm

• factoring out a common multiple to simplify an expression

• use of absolute value notation to describe integer distances from 0 (explicitly)

AlgebraNumber

Expressions and Equations Grade 5: Patterning and Algebra

Grade 6: Patterning and Algebra

Grade 7: Patterning and Algebra

Elementary Cycle 3: Arithmetic

Secondary Cycle 1: Algebra

Secondary Cycle 2, Year 1: Algebra

Grade 6: Patterns and Relations

Grade 7: Patterns and Relations

Grade 8: Patterns and Relations

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 6

1 Starting with CCSM.indd 13 1/28/13 9:22 AM

14

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

6 AlgebraNumber

Expressions and Equations Grade 8: Patterning and Algebra, Number

Grade 9 MFM1D & 9 MFM1P: Number Sense and Algebra

Grade 9: Number

Not required:

• writing an inequality as a problem condition

Not required:

• writing an inequality as a problem condition

Not required:

• writing an inequality as a problem condition

MeasurementGeometry

Geometry Grade 4: Geometry

Grade 5: Geometry

Grade 6: Measurement

Grade 7: Measurement

Grade 12 MAP4C: Geometry and Trigonometry

Elementary Cycle 2: Geometry Elementary Cycle 3: Measurement, Geometry

Secondary Cycle 1: Geometry

Grade 7: Shape and Space

Grade 8: Shape and Space

Not required:

• calculating volume with fractional side lengths

• measuring horizontal or vertical lengths on a coordinate grid

Not required:

• calculating volume with fractional side lengths

• measuring horizontal or vertical lengths on a coordinate grid

Not required:

• calculating volume with fractional side lengths

• measuring horizontal or vertical lengths on a coordinate grid

Data Analysis and Probability

Statistics and Probability Grade 4: Data Management and Probability

Grade 5: Data Management and Probability

Grade 6: Data Management and Probability

Grade 7: Data Management and Probability

Grade 8: Data Management and Probability

Grade 12 MEL4E: Reasoning with Data

Elementary Cycle 3: Statistics

Secondary Cycle 1: Statistics

Secondary Cycle 2, Year 1: Statistics

Secondary Cycle 2, Year 2, CST & TS: Statistics

Grade 7: Statistics and Probability

Grade 11 AW: Statistics

Not required:

• calculation of mean absolute devia-tion or interquartile range

• dot plots

Not required:

• dot plots or box plots

Not required:

• calculation of mean absolute devia-tion or interquartile range

• dot plots or box plots

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 6

1 Starting with CCSM.indd 14 1/28/13 9:22 AM

15

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

7 NumberAlgebra

Ratios and Proportional Relationships

Grade 7: Patterning and Algebra

Grade 8: Patterning and Algebra

Grade 9 MPM1P: Number Sense and Algebra

Grade 9 MPM1D and 9 MFM1P: Linear Relations

Secondary Cycle 1: Arithmetic, Algebra

Secondary Cycle 2, Year 1: Arithmetic

Grade 6: Patterns and Relations

Grade 7: Patterns and Relations Grade 8: Patterns and Relations

Grade 9: Patterns and Relations

Grade 10 C: Relations and Functions, Measurement

Grade 11 AW: Algebra

Grade 12 AW: Algebra

Not required:

• use of fractional rates

Not required:

• use of fractional rates

The Number System Grade 7: Number

Grade 8: Number

Not addressed Grade 7: Number

Grade 8: Number

Not required:

• conversion of rational numbers to decimals by dividing and knowing it will terminate or repeat

Algebra Expressions and Equations Grade 8: Patterning and Algebra

Grade 9 MFM1D & 9 MFM1P: Number Sense and Algebra, Linear Relations

Secondary Cycle 1:Algebra

Grade 7: Patterns and Relations

Grade 8: Patterns and Relations

Grade 9: Patterns and Relations

Grade 12 AW: Algebra

Not required:

• graphing solution sets of inequalities

GeometryMeasurement

Geometry Grade 5: Geometry

Grade 7: Measurement, Geometry

Grade 8: Measurement

Grade 12 MAP4C: Geometry and Trigonometry

Secondary Cycle 1: Geometry Grade 7: Shape and Space

Grade 8: Shape and Space

Grade 9: Shape and Space

Grade 10 AW: Measurement

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 7

1 Starting with CCSM.indd 15 1/28/13 9:22 AM

16

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

7 GeometryMeasurement

Geometry Grade 12 MEL4E: Applications of Measurement

Grade 11 AW: Measurement, Geometry, Algebra

Grade 11 Foundations: Measurement

Not required:

• considering horizontal cross- sections of prisms and pyramids

Not required:

• considering horizontal cross- sections of prisms and pyramids

Data Analysis and Probability

Statistics and Probability Grade 4: Data Management and Probability

Grade 5: Data Management and Probability

Grade 6: Data Management and Probability

Grade 7: Data Management and Probability

Grade 8: Data Management and Probability

Grade 12 MEL4E: Reasoning with Data

Elementary Cycle 2: Probability

Elementary Cycle 3: Probability

Secondary Cycle 1: Probability, Statistics

Secondary Cycle 2, Year 1: Statistics

Grade 5: Statistics and Probability

Grade 6: Statistics and Probability

Grade 7: Statistics and Probability

Grade 8: Statistics and Probability

Grade 9: Statistics and Probability

Grade12 AW: Probability

Grade 12 Foundations: Probability

Not required:

• comparison of two populations using measures of central tendency or variability

• probability simulations

Not required:

• comparison of two populations using measures of central tendency or variability

• probability simulations

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 7

1 Starting with CCSM.indd 16 1/28/13 9:22 AM

17

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

8 Number The Number System Not addressed Secondary Cycle 2, Year 1: Number

Grade 10 AW: Algebra

Grade 10 C: Algebra and Number

Algebra Expressions and Equations Grade 8: Number

Grade 9 MPM1D: Number Sense and Algebra, Analytic Geometry

Grade 9 MFM1P: Number Sense and Algebra, Linear Relations

Grade 10 MPM2D: Analytic Geometry

Grade 10 MFM2P: Modelling Linear Relations

Secondary Cycle 1: Arithmetic

Secondary Cycle 2, Year 1: Arithmetic, Algebra

Secondary Cycle 2, Year 2, CST: Analytic Geometry, Algebra

Secondary Cycle 2, Year 2, TS: Analytic Geometry, Arithmetic

Secondary Cycle 2, Year 2, S: Analytic Geometry

Grade 8: Number

Grade 9: Number

Grade 10 C: Algebra and Number, Relations and Functions

Grade 11 AW: Algebra

Grade 12 AW: Algebra

Not required:

• scientific notation

• examination of the possible number of solutions of a single linear equa-tion

Not required:

• scientific notation

• examination of the possible number of solutions of a single linear equa-tion

Functions Grade 8: Data Management and Probability

Grade 9 MFM1D: Linear Relations, Analytic Geometry

Grade 9 MFM1P: Linear Relations

Secondary Cycle 2, Year 1: Algebra Grade 10 C: Relations and Functions

Grade 11 AW: Algebra

Grade 12 AW: Algebra

Not required:

• sketching a graph exhibiting the features of a function described verbally

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 8

1 Starting with CCSM.indd 17 1/28/13 9:22 AM

18

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

8 MeasurementGeometry

Geometry Grade 5: Geometry

Grade 6: Geometry

Grade 7: Geometry

Grade 8: Geometry

Grade 9 MPM1D & 9 MFM1P: Measurement and Geometry Grade 10 MPM2D: Analytic Geometry

Grade 12 MEL4E: Applications of Measurement

Secondary Cycle 1: Geometry

SecondaryCycle 2, Year 1: Geometry

Secondary Cycle 2, Year 2, CST & S: Geometry

Secondary Cycle 2, Year 2, TS & S: Analytic Geometry

Secondary Cycle 2, Year 3, CST & TS: Analytic Geometry

Grade 5: Shape and Space

Grade 6: Shape and Space

Grade 7: Shape and Space

Grade 8: Shape and Space

Grade 9: Shape and Space

Grade 10 AW: Geometry, Algebra

Grade 10 C: Measurement

Grade 11 AW: Measurement, Geometry

Data Analysis and Probability

Statistics and Probability Grade 8: Data Management and Probability

Grade 9 MFM1D: Linear Relations

Secondary Cycle 2, Year 2, CST, TS & S: Analytic Geometry

Grade 10 C: Relations and Functions

Grade 12 AW: Algebra

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • Grade 8

1 Starting with CCSM.indd 18 1/28/13 9:22 AM

19

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Number and Quantity

The Real Number System Grade 11 MCR3U: Characteristics of Functions, Exponential Functions

Grade 11 MCF3M: Exponential Functions

Grade 11 MBF3C & Grade 12 MAP4C: Mathematical Models

Secondary Cycle 2, Year 1: Arithmetic

Secondary Cycle 2, Year 2, TS: Arithmetic

Secondary Cycle 2 Year 3, TS & S: Arithmetic

Grade 10 C: Algebra and Number

Grade 11 Pre-Calc: Algebra and Number

Not required:

• properties of rational and irrational numbers

Not required:

• properties of rational and irrational numbers

Not required:

• properties of rational and irrational numbers

Quantities Grade 9 MPM1D & Grade 9 MFM1P: Measurement and Geometry

Grade 10 MPM2D: Trigonometry

Grade 10 MFM2P: Measurement and Geometry

Grade 11 MCR3U: Trigonometric Functions

Grade 11 MCF3M: Trigonometric Functions

Grade 11 MBF3C: Geometry and Trigonometry

Grade 12 MCT4C: Applications of Geometry

Grade 12 MAP4C: Geometry and Trigonometry

Grade12 MEL4E: Applications of Measurement

Not addressed Grade 11 AW: Algebra

The Complex Number System Not addressed Not addressed Not addressed

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • High School

1 Starting with CCSM.indd 19 1/28/13 9:22 AM

20

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Number and Quantity

Vectors and Matrix Quantities Grade 12 MCV4U: Geometry and Algebra of Vectors

Grade 12 MCT4C: Applications of Geometry

Grade 12 MAP4C: Geometry and Trigonometry

Secondary Cycle 2, Year 3, TS: Discrete Mathematics, Geometry

Secondary Cycle 3, Year 3, S: Geometry

Not addressed

Not required:

• matrices

Algebra Seeing Structures in Expressions Grade 10 MPM2D & 10 MFM2P: Quadratic Relations

Grade 11 MCR3U: Exponential Functions, Quadratic Functions

Grade 11 MCF3M: Exponential Functions, Discrete Functions

Grade 11 MBF3C: Mathematical Models

Grade 12 MCT4C: Exponential Functions

Secondary Cycle 2, Year 1: Algebra

Secondary Cycle 2, Year 2, CST, TS & S: Algebra

Secondary Cycle 2, Year 3, TS & S: Algebra

Grade 10 C: Algebra and Number

Grade 11 Pre-Calc: Algebra and Number, Relations and Functions

Arithmetic with Polynomials and Rational Expressions

Grade 9 MPM1D & MFM1P: Number Sense and Algebra

Grade 11 MCR3U: Characteristics of Functions

Grade 12 MHF4U: Polynomial and Rational Functions

Grade 12 MCT4C: Polynomial Functions

Secondary Cycle 2, Year 1: Algebra

Secondary Cycle 2, Year 2, TS & S: Algebra

Secondary Cycle 2, Year 3, TS & S: Algebra

Grade 9: Patterns and Relations

Grade 10 C: Algebra and Number

Grade 11 Pre-Calc: Algebra and Number, Relations and Functions

Grade 12 Foundations: Relations and Functions

Grade 12 Pre-Calc: Relations and Functions

Grade 12 Pre-Calc: Combinations and the Binomial theorem, Permutations

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • High School

1 Starting with CCSM.indd 20 1/28/13 9:22 AM

21

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Algebra Creating Equations Grade 9 MPM1D: Number Sense and Algebra

Grade 10 MPM2D & 10 MFM2P: Quadratic Relations

Grade 11 MCR3U: Characteristics of Functions, Exponential Functions

Grade 11 MCF3M: Exponential Functions, Quadratic Functions

Grade 11 MBF3C: Mathematical Models

Grade 12 MHF4U: Exponential and Logarithmic Functions, Polynomial and Rational Functions, Trigonometric Functions

Grade 12 MCT4C: Exponential Functions, Polynomial Functions, Trigonometric Functions

Grade 12 MAP4C: Mathematical Models

Secondary Cycle 2, Year 1: Algebra

Secondary Cycle 2, Year 2, CST, TS & S: Algebra

Secondary Cycle 2, Year 3, CST, TS & S: Algebra

Grade 11 Foundations: Relations and Functions

Grade 11 Pre-Calc: Relations and Functions

Reasoning with Equations and Inequalities

Grade 10 MPM2D & 10 MFM2P: Quadratic Relations

Grade 11 MCR3U: Characteristics of Functions, Exponential Functions

Grade11 MCF3M: Quadratic Functions, Exponential Functions

Grade 12 MHF4U: Exponential and Logarithmic Functions, Polynomial and Rational Functions, Trigonometric Functions

Grade 12 MHF4U: Exponential and Logarithmic Functions, Polynomial and Rational Functions, Trigonometric Functions

Secondary Cycle 2, Year 1: Algebra

Secondary Cycle 2, Year 2, CST, TS & S: Analytic Geometry, Algebra

Secondary Cycle 2, Year 3, TS: Discrete Mathematics, Algebra

Secondary Cycle 2, Year 3, S: Algebra

Grade 9: Algebra

Grade 10 C: Relations and Functions

Grade 11 Foundations: Relations and Functions

Grade 11 Pre-Calc: Relations and Functions

Grade 12 Pre-Calc: Relations and Functions, Trigonometry

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • High School

1 Starting with CCSM.indd 21 1/28/13 9:22 AM

22

Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Algebra Reasoning with Equations and Inequalities

Grade 12 MCT4C: Exponential Functions, Polynomial Functions, Trigonometric Functions

Grade 12 MAP4C: Mathematical Models

Not required:

• systems of equations using matrices

Not required:

• systems of equations using matrices

Functions Interpreting Functions Grade 10 MPM2D & 10 MFM2P: Quadratic Relations

Grade 11 MCR3U & 11 MCF3M: Each section of course

Grade 11 MBF3C: Mathematical Models

Grade 12 MHF4U: Each section of course

Grade 12 MCV4U: Rate of Change

Grade 12 MCT4C: Polynomial Functions and Trigonometric Functions, Exponential Functions

Grade 12 MAP4C: Mathematical Models

Secondary Cycle 2, Year 1: Algebra

Secondary Cycle 2, Year 2, CST, TS & S: Analytic Geometry, Algebra

Secondary Cycle 2, Year 3, TS & S: Algebra

Grade 10 C: Relations and Functions

Grade 11 Foundations: Relations and Functions

Grade 11 Pre-Calc: Relations and Functions

Grade 12 Foundations: Relations and Functions

Grade 12 Pre-Calc: Relations and Functions

Building Functions Grade 10 MPM2D: Quadratic Relations

Grade 11 MCR3U & 11 MCF3M: Each section of course

Grade 11 MBF3C: Mathematical Models

Grade 12 MHF4U: Each section of course

Grade 12 MCT4C: Polynomial Functions and Trigonometric Functions, Exponential Functions

Secondary Cycle 2, Year 2, CST & TS: Algebra

Secondary Cycle 2, Year 3, TS & S: Algebra

Grade 11 Pre-Calc: Relations and Functions

Grade 12 Foundations: Relations and Functions

Grade 12 Pre-Calc: Relations and Functions, Trigonometry

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • High School

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Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Functions Linear, Quadratic, and Exponential Models

Grade 11 MCR3U: Exponential Functions, Discrete Functions

Grade 11 MCF3M: Exponential Functions

Grade 11 MBF3C: Mathematical Models

Grade 12 MHF4U: Exponential and Logarithmic Functions

Grade 12 MCT4C & 12 MAP4C: Exponential Functions

Secondary Cycle 2, Year 2, CST, TS & S: Algebra

Secondary Cycle 2, Year 3, TS: Arithmetic

Secondary Cycle 2, Year 3, TS & S: Algebra

Grade 11 Pre-Calc: Relations and Functions

Grade 12 Foundations: Relations and Functions

Grade 12 Pre-Calc: Relations and Functions

Trigonometric Functions Grade 11 MCR3U & 11 MCF3M: Trigonometric Functions

Grade 12 MHF4U & 12 MCT4C: Trigonometric Functions

Secondary Cycle 2, Year 2, CST & TS: Algebra

Secondary Cycle 2, Year 3, TS: Algebra, Geometry

Secondary Cycle 2, Year 3, S: Analytic Geometry, Algebra, Geometry

Grade 11 Pre-Calc: Trigonometry

Grade 12 Foundations: Relations and Functions

Grade 12 Pre-Calc: Trigonometry

Geometry Congruence Grade 6: Geometry

Grade 7: Geometry

Grade 8: Geometry

Grade 9 MPM1D & 9 MFM1P: Measurement and Geometry

Grade 10 MPM2D: Analytic Geometry

Grade 12 MAP4C: Geometry and Trigonometry

Secondary Cycle 1: Geometry

Secondary Cycle 2, Year 3, CST & TS: Analytic Geometry

Grade 6: Shape and Space

Grade 7: Shape and Space

Grade 9: Shape and Space

Grade 10 AW: Geometry

Grade 11 Foundations: Geometry

Grade 12 AW: Geometry

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • High School

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Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Geometry Congruence Not required:

• definitions of reflections and trans-lations in terms of angles, circles, perpendicular lines, parallel lines, and line segments

• explaining how the criteria for triangle congruence derives from rigid motions

• construction of inscribed regular shapes

Not required:

• definitions of reflections and trans-lations in terms of angles, circles, perpendicular lines, parallel lines, and line segments

• explaining how the criteria for triangle congruence derives from rigid motions

• construction of inscribed regular shapes

Not required:

• definitions of reflections and trans-lations in terms of angles, circles, perpendicular lines, parallel lines, and line segments

• explaining how the criteria for triangle congruence derives from rigid motions

• construction of inscribed regular shapes

Similarity, Right Triangles, and Trigonometry

Grade 10 MPM2D: Trigonometry

Grade 10 MFM2P: Measurement, Trigonometry

Grade 11 MCR3U & 11 MCF3M: Trigonometric Functions

Grade 11 MBF3C: Geometry and Trigonometry

Grade 12 MCT4C: Trigonometric Functions

Grade 12 MAP4C: Geometry, Trigonometry

Secondary Cycle 2, Year 2, CST, TS & S: Geometry

Secondary Cycle 2, Year 3, TS: Algebra, Geometry

Grade 10 AW: Geometry, Algebra

Grade 10 C: Measurement

Grade 11 Foundations: Geometry

Grade 11 Pre-Calc: Trigonometry

Grade 12 AW: Geometry

Not required:

• properties of dilations

• formula A = ½ ab sin C for the area of a triangle (explicitly)

Not required:

• properties of dilations

• formula A = ½ ab sin C for the area of a triangle (explicitly)

Not required:

• properties of dilations

• formula A = ½ ab sin C for the area of a triangle (explicitly)

Circles Grade 12 MCT4C: Applications of Geometry

Secondary Cycle 2, Year 3, TS: Geometry

Grade 9: Shape and Space

Not required:

• inscribing or circumscribing shapes

• formula for area of a sector based on radian measure

Not required:

• inscribing or circumscribing shapes

• formula for area of a sector based on radian measure

Not required:

• inscribing or circumscribing shapes

• formula for area of a sector based on radian measure

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

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Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Geometry Expressing Geometric Properties with Equations

Grade 9 MPM1D: Analytic Geometry

Grade 10 MPM2D: Analytic Geometry

Grade 10 MFM2P: Modelling Linear Relations

Secondary Cycle 2, Year 2, CST, TS & S: Analytic Geometry

Secondary Cycle 2, Year 2, TS: Geometry

Secondary Cycle 2, Year 3, S: Analytic Geometry

Grade 10 C: Relations and Functions

Not required:

• conic section work

• partitioning a line in a given ratio

Not required:

• conic section work

• partitioning a line in a given ratio

Geometric Measurement and Dimension

Grade 9 MFM1D & 9 MFM1P:Measurement and Geometry

Grade 12 MCT4C: Applications of Geometry

Grade 12 MAP4C: Geometry and Trigonometry

Secondary Cycle 2, Year 2, S: Geometry

Secondary Cycle 2, Year 3, CST & TS: Geometry

Grade 11 AW: Geometry, Algebra

Not required:

• use of Cavalieri’s principle

• generation of 3-D objects by rotat-ing 2-D shapes

Not required:

• generation of 3-D objects by rotat-ing 2-D shapes

Not required:

• use of Cavalieri’s principle

• generation of 3-D objects by rotat-ing 2-D shapes

Modelling with Geometry Grade 9 MFM1D & 9 MFM1P:Measurement and Geometry

Grade 11 MBF3C: Geometry, Trigonometry

Grade 12 MAP4C: Geometry, Trigonometry

Not addressed Not addressed

Not required:

• consideration of density

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

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Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Statistics and Probability

Interpreting Categorical and Quantitative Data

Grade 9 MFM1D & 9MFM1P:Linear Relations

Grade 10 MPM2D & 10 MFM2P: Quadratic Relations

Grade 11 MCR3U: Exponential Functions, Trigonometric Functions

Grade 11 MCF3M: All sections

Grade 11 MBF3C: Mathematical Models, Data Management

Grade 12 MFH4U: Characteristics of Functions

Grade 12 MDM4U: Organization of Data for Analysis, Statistical Analysis, Probability Distributions

Grade 12 MAP4C: Data Management

Grade 12 MEL4E: Reasoning with Data

Secondary Cycle 2, Year 2, CST: Analytic Geometry, Statistics

Secondary Cycle 2, Year 2, TS & S: Analytic Geometry, Statistics, Algebra

Secondary Cycle 2, Year 3, S: Statistics

Grade 10 C: Relations and Functions

Grade 11 Foundations: Statistics

Grade 12 Foundations: Relations and Functions

Grade 12 Pre-Calc: Trigonometry

Not required:

• dot plots

Not required:

• dot plots

Not required:

• dot plots

• box plots

• curves of best fit

• correlation coefficients

Making Inferences and Justifying Conclusions

Grade 11 MBF3C: Data Management

Grade 12 MDM4U: Organization of Data for Analysis, Statistical Analysis

Grade 12 MAP4C: Data Management

Grade 12 MEL4E: Reasoning with Data

Not addressed Grade 11 Foundations: Statistics

Not required:

• comparing two random distributions

Not required:

• comparing two random distributions

Not required:

• comparing two random distributions

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

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Grade NCTM Standard CCSSM Content Standard Ontario content expectations Québec Essential Knowledges WNCP-based curricula content outcomes

High School

Statistics and Probability

Conditional Probability and the Rules of Probability

Grade 12 MDM4U: Counting and Probability

Secondary Cycle 2, Year 2, CST & TS: Probability

Secondary Cycle 2, Year 3, CST: Probability

Grade 12 Foundations: Probability

Grade 12 Pre-Calc: Combinations and the Binomial theorem, Permutations

Not required:

• two-way frequency tables

Not required:

• two-way frequency tables

• probability distributions

Not required:

• two-way frequency tables

• expected value

• probability distributions

Note: Conditional probability is handled much more informally in this curriculum.

Using Probability to Make Decisions Grade 12 MDM4U: Probability Distributions

Secondary Cycle 2, Year 2, CST & TS: Probability

Not covered

Matching the Common Core State Standards for Mathematics (CCSSM) and Canadian content expectations, content outcomes, and Essential Knowledges

Starting with CCSSM • High School

1 Starting with CCSM.indd 27 1/28/13 9:22 AM