Ontario Curriculum - National Council of Teachers of ... · 4. Grade Number Measurement Geometry...
Transcript of Ontario Curriculum - National Council of Teachers of ... · 4. Grade Number Measurement Geometry...
1
Grade Number Measurement Geometry Patterning and Algebra Data Management and Probability
KCCSSMDomain
K: K.CC
K: K.OA
K: K.MD
Grade 1: 1.MD (length only)
K: K.G Not supported in the CCSSM K: K.MD
Not covered in the CCSSM
• counting back (explicitly)
• subitizing (explicitly)
• estimating amounts (explicitly)
• use of ordinal numbers
• use of Canadian coins
• non-standard units for area, capacity, mass, or time
• work with temperature
• sorting (explicitly)
• exploration of the 2-D shapes that make up a 3-D shape (explicitly)
• concrete graphs
• work on probability until grade 7
1CCSSMDomain
K: K.CC
K: K.NBT
Grade 1: 1.OA
Grade 1: 1.NBT
Grade 1: 1.G
Grade 2: 2.OA
Grade 2: 2.G
K: K.MD
Grade 1: 1.MD
K: K.G
Grade 1: 1.G
K: K.CC Grade 1: 1.MD
Not covered in the CCSSM
• writing numbers in words
• anchoring to the number 5 (explicitly)
• identification of coins or representing money amounts
• estimating numbers of objects (explicitly)
• constructing given lengths
• creating measuring tools
• measuring area, mass, capacity, or time with non-standard units
• work with the calendar
• tracing or recognizing 2-D shapes as faces of 3-D figures (explicitly)
• covering of outline puzzles with shapes
• using maps to describe location
• creating symmetrical designs (explicitly)
• repeating patterns
• requirement for a pan balance model for equality
• probability until grade 7
Ontario Curriculum Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
Elementary Courses • K–4
2
Grade Number Measurement Geometry Patterning and Algebra Data Management and Probability
Not covered in the CCSSM
• use of ordinal numbers
• skip counting by 2s and 5s until Grade 2 and then it’s to 1000, not 100
• counting back (explicitly)
• use of money amounts
• work with temperature
• metre as a benchmark (explicitly)
2CCSSMDomain
Grade 1: 1.OA
Grade 1: 1.NBT
Grade 1: 1.G
Grade 2: 2.OA
Grade 2: 2.NBT
Grade 2: 2.G
Grade 3: 3.OA
Grade 2: 2.MD
Grade 3: 3.MD
K: K.G
Grade 1:1.G
Grade 4: 4.G
Grade 1: 1.OA
Grade 4: 4.OA
Grade 1: 1.MD
Grade 2: 2.MD
Not covered in the CCSSM
• writing number words
• determining nearest multiple of 10 (until larger numbers are involved)
• counting back (explicitly)
• skip counting by 25s
• placing numbers on a number line (explicitly)
Note: CCSSM skip counting is to 1,000 rather than 200. The x sign is introduced in grade 2 rather than grade 3.
• developing benchmarks for units
• justifying unit selection
• representing measures in a variety of ways
• measuring around round objects
• measurement of capacity with non-standard units
• calendar work
• relating time units (days, weeks, months, years)
• constructing time measurement tools
• work with temperature
Note: Reading the clock in the CCSSM is to the nearest 5 minutes, rather than nearest quarter hour.
• contrasting geometric to non-geometric attributes of objects
• covering outline puzzles
• drawing simple maps
• repeating patterns
Note: Pattern work in the CCSSM is in grade 4 and focuses more on applying pattern rules than identifying, describing, representing, or creating patterns.
• sorting using two attributes
• distinguishing data value from data frequency numbers
• probability until grade 7
Elementary Courses • K–4Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
3
Grade Number Measurement Geometry Patterning and Algebra Data Management and Probability
3CCSSMDomain
Grade 2: 2.NBT
Grade 2: 2.MD
Grade 3: 3.OA
Grade 3: 3.NBT
Grade 3: 3.NF
Grade 2: 2.MD
Grade 3: 3.MD
K: K.G
Grade 3: 3.G
Grade 4: 4.MD
Grade 4: 4.G
Grade 1: 1.OA
Grade 3: 3.OA
Grade 4: 4.OA
Grade 1: 1.MD
Not covered in the CCSSM
• writing number words
• decomposing 3-digit numbers other than in the standard way
• use of place value materials (explicitly)
• skip counting backwards (explicitly)
• visual representations or real life uses to focus on magnitude (explicitly)
• skip counting by 25s
• skip counting backwards
• student-generated algorithms
• requirement for estimation to test reasonableness of computations
Note: Standard fraction notation is used instead of words when fractions are introduced in the CCSSM.
• drawing items of a particular length
• work with temperature
• development of 1 kg or 1 L benchmarks
• unit selection justification
• exploration of effect of unit size on a measured area
• solving problems based on time units
• solving problems based on greatest or least number of shapes to compose another shape
• 2-D shapes found in 3-D figures (explicitly)
• movement on a grid
• transformations until grade 8
Note: re CCSSM approaches: The introduction of right angles and angle comparison is not until grade 4. The word congruent is used much later.
• repeating patterns
• representing geometric patterns
Note: Most of the pattern work in the CCSSM is applying pattern rules, not describing or creating patterns.
• sorting using two or more attributes
• use of surveys
• concept of mode
• probability until grade 7
4 CCSSMDomain
Grade 3: 3.OA
Grade 3: 3.NBT
Grade 3: 3.NF
Grade 4: 4.OA
Grade 3: 3.MD
Grade 4: 4.MD
Grade 5: 5.MD
Grade 4: 4.MD
Grade 4: 4.G
Grade 6: 6.G
Grade 3: 3.OA
Grade 4: 4.OA
Grade 6: 6.SP
Grade 7: 7.SP
Elementary Courses • K–4Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
4
Grade Number Measurement Geometry Patterning and Algebra Data Management and Probability
4CCSSMDomain
Grade 4: 4.NBT
Grade 4: 4.NF
Grade 5: 5.NBT
Not covered in the CCSSM
• writing number words
• required use of money contexts
• required use of estimation when solving problems to judge reasonableness of solutions
• drawing items of given lengths
• work with time units like decade or centuries
• justifying selection of most appropriate unit
• classification of prisms and pyramids (explicitly)
• use of grid system for location
• repeating patterns based on geometric transformations
Note: Most of the pattern work in the CCSSM is applying pattern rules, not identifying, describing, or creating patterns.
• data collection
• distinguishing between primary and secondary data
• stem and leaf plots
Elementary Courses • K–4Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
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Grade Number Measurement Geometry Patterning and Algebra Data Management and Probability
5CCSSMDomain
Grade 4: 4.OA
Grade 4: 4.NBT
Grade 4: 4.NF
Grade 5: 5.NBT
Grade 6: 6.RP
Grade 3: 3.MD
Grade 4: 4.MD
Grade 5: 5.MD
Grade 4: 4.MD
Grade 4: 4.G
Grade 5: 5.G
Grade 6: 6.G
Grade 7: 7.G
Grade 8: 8.G
Grade 4: 4.OA
Grade 6: 6.EE
Grade 6: 6.SP
Grade 7: 7.SP
Not covered in the CCSSM
• writing number words
• working with money problems with large numbers (explicitly)
• counting up by hundredths using decimals (explicitly)
• representing time to nearest second
• measuring time in days, weeks, months or years
• work with temperatures
• work with 24-hour clock
• relating volume to capacity
• work with temperature
• choosing and justifying most appropriate unit choice
• distinguishing between regular or irregular shapes
• classifying triangles based on angle size or side lengths (explicitly)
• recognizing 3-D objects from nets
• using grids and cardinal direction
• creating tables of values to describe patterns
• repeating patterns involving geometric transformations
Note: Most of the pattern work in the CCSSM is applying pattern rules, not identifying, describing, or creating patterns.
• distinguishing between discrete and continuous data
• distinguishing between primary and secondary data
• alternative ways to collect samples
• describing data collection
6CCSSMDomain
Grade 4: 4.OA
Grade 4: 4.NBT
Grade 4: 4.NF
Grade 5: 5.OA
Grade 5: 5.NBT
Grade 6: 6.RP
Grade 4: 4.MD
Grade 5: 5.MD
Grade 6: 6.G
Grade 4: 4.MD
Grade 5: 5.G
Grade 8: 8.G
High School: G-CO
Grade 4: 4.OA
Grade 6: 6.EE
Grade 6: 6.SP
Grade 7: 7.SP
Not covered in the CCSSM
• writing numbers in words • measurement precision
• selecting the most appropriate measurement unit
• using isometric or orthographic drawings
• identifying geometric patterns
• alternate types of pattern rules
• repeating patterns based on geometric transformations
• distinction between quantities that vary and constants (explicitly)
• collecting data
• distinguishing between discrete and continuous data, or primary and secondary data
• considering alternate types of graphs to display data
• considering effect of scale in data presentation
Elementary Courses • 5–8Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
6
Grade Number Measurement Geometry Patterning and Algebra Data Management and Probability
7CCSSMDomain
Grade 4: 4.OA
Grade 4: 4.NF
Grade 5: 5.OA
Grade 5: 5.NBT
Grade 5: 5.NF
Grade 6: 6.RP
Grade 6: 6.NS
Grade 7: 7.NS
Grade 5: 5.MD
Grade 6: 6.G
Grade 7: 7.G
Grade 5: 5.G
Grade 6: 6.NS
Grade 7: 7.G
Grade 8: 8.G
High School: Congruence G-CO
Grade 5: 5.OA
Grade 6: 6.EE
Grade 7: 7.RP
Grade 6: 6.SP
Grade 7: 7.SP
Not covered in the CCSSM
• selecting among decimal, fraction, or percent representations (explicitly)
• representing perfect squares and their square roots
• relating exponential notation to measurement units
• mandating use of estimation when solving problems
• research on real-life applications of area measurement
• conversion between volume and capacity units
• measuring angles at vertices of prisms
• determining shapes that tile
• expression of general terms of patterns
• collecting survey data
• distinguishing between discrete and continuous data, or primary and secondary data
• considering alternate types of graphs for display
• misleading graphs
• concept of mode
• making convincing arguments from graphs and tables (explicitly)
8CCSSMDomain
Grade 5: 5.NBT
Grade 5: 5.NF
Grade 6: 6.RP
Grade 6: 6.NS
Grade 6: 6.EE
Grade 7: 7.NS
Grade 8: 8.EE
Grade 5: 5.MD
Grade 7: 7.G
Grade 8: 8.G
Grade 8: 8.G
High School: Congruence G-CO
Grade 6: 6.EE
Grade 7: 7.RP
Grade 7: 7.EE
Grade 6: 6.SP
Grade 7: 7.SP
Grade 8: 8.F
Grade 8: 8.SP
Elementary Courses • 5–8Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
7
Grade Number Measurement Geometry Patterning and Algebra Data Management and Probability
Not covered in the CCSSM
• requirement to estimate when solving problems
• research on applications of volume/capacity measurement
• surface area of a cylinder
• circle construction
• investigating application of geometry in real world
• investigating relationship in area and volume of similar shapes/figures
• Euler’s theorem
• expression of general term of pattern algebraically
• conducting surveys
• distinguishing between categorical, discrete, or continuous data
• distinguishing between primary or secondary data
• selecting and justifying appropriate graphs for data
• identification of complementary events for probability
Elementary Courses • 5–8Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
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Grade 9 Academic (MPM1D)
Number Sense and Algebra Linear Relations Analytic Geometry Measurement and Geometry
9CCSSM Domain
Grade 6: 6.RP
Grade 6: 6.EE
Grade 7: 7.EE
Grade 8: 8.EE
High School: A-APR
High School: A-CED
Grade 7: 7.RP
Grade 7: 7.EE
Grade 8: 8.F
Grade 8: 8.SP
High School: S-ID
Grade 8: 8.EE
Grade 8: 8.F
High School: G-GPE
Grade 8: 8.G
High School: N-Q
High School: G-CO
High School: G-MD
High School: G-MG
Not covered in the CCSSM
• relating square and cube of a number to area and volume measures
• distinction between different algebraic forms for a line (explicitly)
• explaining significance of optimal area or volume
• surface area of a cylinder or cone
Grade 9 Applied (MFM1P)
Number Sense and Algebra Linear Relations Measurement and Geometry
9CCSSM Domain
Grade 6: 6.RP
Grade 6: 6.EE
Grade 7: 7.RP
Grade 7: 7.EE
Grade 8: 8.EE
High School: A-APR
Grade 7: 7.RP
Grade 7: 7.EE
Grade 8: 8.EE
Grade 8: 8.F
Grade 8: 8.SP
High School: S-ID
Grade 8: 8.G
High School: N-Q
High School: G-CO
High School: G-MD
High School: G-MG
Not covered in the CCSSM
• expression of decimals, fractions, or percents in equivalent form (explicitly)
• relating the square and cube of a number to area and volume measures
Grade 10 Academic (MPM2D)
Quadratic Relations Analytic Geometry Trigonometry
10CCSSM Domain
High School: A-SSE
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: S-ID
Grade 8: 8.EE
Grade 8: 8.G
High School: G-CO
High School: G-GPE
High School: N-Q
High School: G-SRT
Not covered in the CCSSM
• specific reference to second differences (explicitly)
High School Courses • 9–12Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
9
Grade 10 Applied (MFM2P)
Measurement and Trigonometry Modelling Linear Relations Quadratic Relations
10CCSSM Domain
High School: N-Q
High School: G-SRT
Grade 8: 8.EE
High School: G-GPE
High School: A-SSE
High School: A-CED
High School: A-REI
High School: F-IF
High School: S-ID
Not covered in the CCSSM
• discussion of occupations that use trigonometry
• calculation of surface area of cylinders, cones, or spheres
• distinction between different algebraic forms for a line (explicitly) • second differences (explicitly)
Grade 11 Functions (MCR3U)
Characteristics of Functions Exponential Functions Discrete Functions Trigonometric Functions
11CCSSM Domain
High School: N-RN
High School: A-APR
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: N-RN
High School: A-SSE
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: F-LE
High School: S-ID
High School: A-SSE
High School: F-IF
High School: F-BF
High School: F-LE
High School: N-Q
High School: F-IF
High School: F-BF
High School: F-TF
High School: G-SRT
High School: S-ID
Not covered in the CCSSM
• exploration of the Fibonacci sequence or Pascal’s triangle (explicitly)
• formula for sum of arithmetic series
• financial applications of exponential functions
Grade 11 Functions and Applications (MCF3M)
Quadratic Functions Exponential Functions Trigonometric Functions
11CCSSM Domain
High School: A-SSE
High School: A-CED
High School: A-REI
High School: F-IF
High School: N-RN
High School: A-SSE
High School: A-CED
High School: A-REI
High School: N-Q
High School: F-IF
High School: F-BF
High School: F-TF
High School Courses • 9–12Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
10
Grade 11 Functions and Applications (MCF3M)
Quadratic Functions Exponential Functions Trigonometric Functions
11CCSSM Domain
High School: F-BF
High School: S-ID
High School: F-IF
High School: F-BF
High School: F-LE
High School: S-ID
High School: G-SRT
High School: S-ID
Grade 11 Foundations for College Math (MBF3C)
Mathematical Models Personal Finance Geometry and Trigonometry Data Management
11CCSSM Domain
High School: N-RN
High School: A-SSE
High School: A-CED
High School: F-IF
High School: F-BF
High School: F-LE
High School: S-ID
Not covered in the CCSSM High School: N-Q
High School: G-SRT
High School: G-MG
High School: S-ID
High School: S-IC
Not covered in the CCSSM
• changing expressed form for a quadratic (explicitly)
• isometric or orthographic drawings • design of a questionnaire or statistical experiment
• distinguishing among sampling techniques
• classification of data sources
• analysis of probability in the media
Grade 11 Workplace (MEL3E)
Not supported in the CCSSM
Grade 12 Advanced Functions (MHF4U)
Exponential and Logarithmic Functions Trigonometric Functions Polynomial and Rational Functions Characteristics of Functions
12CCSSM Domain
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: F-LE
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: F-TF
High School: A-APR
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: F-IF
High School: F-BF
High School: S-ID
High School Courses • 9–12Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
11
Grade 12 Calculus and Vectors (MCV4U)
Rate of Change Derivatives and their Applications Geometry and Algebra of Vectors
Not covered in the CCSSM
• graphing reciprocal functions (explicitly)
• graphing in radians
• compound angle formulas
• instantaneous rate of change
12CCSSM Domain
High School: F-IF Not supported in the CCSSM High School: N-VM
Not covered in the CCSSM
• instantaneous rate of change • dot product
• cross product
• describing lines or planes using scalar, vector, parametric form
• describing planes using Cartesian form
Grade 12 Mathematics of Data Management (MDM4U)
Counting and Probability Probability Distributions Organization of Data for Analysis Statistical Analysis
12CCSSM Domain
High School: S-CP High School: S-ID
High School: S-MD
High School: S-ID
High School: S-IC
High School: S-ID
High School: S-IC
Not covered in the CCSSM
• exploring Pascal’s triangle (explicitly) • creation of a probability histogram
• exploration of conditions that lead to various distributions
• distinguishing between continuous or discrete, qualitative or quantitative, primary or secondary, or between discrete, qualitative, and quantitative data
• data in the media
Note: There is no requirement for a culminating project in the CCSSM.
Grade 12 Mathematics for College Technology (MCT4C)
Exponential Functions Polynomial Functions Trigonometric Functions Applications of Geometry
12CCSSM Domain
High School: A-SSE
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: F-LE
High School: A-APR
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-BF
High School: F-TF
High School: G-SRT
High School: N-Q
High School: N-VM
High School: G-C
High School: G-GMD
High School Courses • 9–12Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
12
Grade 12 Mathematics for College Technology (MCT4C)
Exponential Functions Polynomial Functions Trigonometric Functions Applications of Geometry
Not covered in the CCSSM
• graphing reciprocal functions (explicitly)
• graphing in radians
• compound angle formulas
Grade 12 Foundations for College Mathematics MAP4C
Mathematical Models Personal Finance Geometry and Trigonometry Data Management
12CCSSM Domain
High School: N-RN
High School: A-CED
High School: A-REI
High School: F-IF
High School: F-LE
Not supported in the CCSSM Grade 6: 6.RP
Grade 6: 6.G
Grade 7: 7.G
High School: N-Q
High School: N-VM
High School: G-SRT
High School: G-CO
High School: G-MD
High School: G-MG
High School: S-ID
High School: S-IC
Not covered in the CCSSM
• surface area of a cylinder or sphere
• presentation to showcase occupations that use trigonometry
• collection of data
• use of data from the media
• use of language, such as 19 times out of 20
High School Courses • 9–12Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)
13
Grade 12 Mathematics for Work and Everyday Life (MEL4E)
Reasoning with Data Personal Finance Applications of Measurement
12CCSSM Domain
Grade 6: 6.SP
Grade 7: 7.SP
High School: S-ID
High School: S-IC
Not supported in the CCSSM Grade 5: 5.MD
Grade 6: 6.RP
Grade 7: 7.G
Grade 8: 8.G
High School: N-Q
Not covered in the CCSSM
• collection of data
• use of data from the media
• use of circle graphs or broken line graphs
• 3-D scale models
• preparing budget for household improvement
• discussion of consequences of errors in proportional reasoning
High School Courses • 9–12Matching Ontario overall and specific expectations to the Common Core State Standards for Mathematics (CCSSM)