D_gr7_math_yearly_plan

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Grade 7 Mathematics Yearly Plan: Sample D
2
Another possible yearly plan could present the material in this order:
September—December
Chapter 1:
Outcome
Chapter/Section
Pages
A1 model and use power, base, and exponent to
represent repeated multiplication
1.1
1CP Wrap-Up
16–21
51
A2 rename numbers among exponential, standard,
and expanded forms
1.1
1CP Wrap-Up
16–21
51
A3 rewrite large numbers from standard form to
scientific notation and vice versa
1.2
1CP Wrap-Up
22–27
51
A6 develop and apply divisibility rules for 3, 4, 6, and
9
1.3
1CP Wrap-Up
28–33
51
A4 solve and create problems involving common
factors and greatest common factors (GCF)
1.4
1CP Wrap-Up
34–39
51
A5 solve and create problems involving common
multiples and least common multiples (LCM)
1.4
1CP Wrap-Up
34–39
51
B5 apply the order of operations for problems
involving whole and decimal numbers
1.5
1CP Wrap-Up 2.5
2.6
2CP Wrap-Up
40–45
51 92–97
98–103
107
Assessment
Formative
BLM 1.1 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
Formative
BLM 1.1 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
Formative
BLM 1.2 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
Formative
BLM 1.3 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
Formative
BLM 1.4 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
Formative
BLM 1.4 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
Formative
BLM 1.5 Rubric BLM 2.5 Rubric BLM 2.6 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
BLM 2CP Chapter Problem Wrap-Up Rubric
3
D1 identify, use, and convert among
the SI units to measure, estimate, and solve problems
that relate to length, area, volume, and capacity
D2 apply concepts and skills related to time in
problem situations
throughout Ch1,
Ch2, Ch8
8–51,
52–107, 330–367
throughout Ch1,
Ch9
8–51,
368–419
Chapter 2:
Outcome
Chapter/Section
Pages
B6 estimate the sum or difference of fractions when
appropriate
2.1
2CP Wrap-Up
58–67
107
B7 multiply mentally a fraction by a whole number
and vice versa
2.2
68–75
A9 compare and order proper and improper fractions,
mixed number, and decimal numbers
2.2
2.4
68–75
84–91
2.3
76–83
2.3
76–83
B4 determine and use the most appropriate
computational method in problem situations
involving whole numbers and/or decimals
2.4
2.5
2.6
2CP Wrap-Up
84–91
92–97
98–103 107
B2 use mental math strategies for calculations
involving integers and decimal numbers
2.5
2.6
5CP Wrap-Up
92–97
98–103
249
B5 apply the order of operations for problems
involving whole and decimal numbers
1.5
1CP Wrap-Up 2.5
2.6
2CP Wrap-Up
A7 apply patterning in renaming numbers from
fractions and mixed numbers to decimal numbers
A8 rename single-digit and double-digit repeating
decimals to fractions through the use of patterns and
use these patterns to make predictions
40–45
51 92–97
98–103
107
Assessment
Formative
BLM 2.1 Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
Formative
BLM 2.2 Rubric
Formative
BLM 2.2 Rubric
BLM 2.4 Rubric
Formative
BLM 2.3 Rubric
Formative
BLM 2.3 Rubric
Formative
BLM 2.4 Rubric
BLM 2.5 Rubric BLM 2.6 Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
Formative
BLM 2.5 Rubric
BLM 2.6 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
Formative
BLM 1.5 Rubric BLM 2.5 Rubric BLM 2.6 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
4
BLM 2CP Chapter Problem Wrap-Up Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
BLM 5CP Chapter Problem Wrap-Up Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
BLM 5CP Chapter Problem Wrap-Up Rubric
B1 use estimation strategies to assess and justify the
reasonableness of calculation results for integers and
decimal numbers
2CP Wrap-Up
5CP Wrap-Up
107
249
B3 demonstrate an understanding of the properties
of operations with decimal numbers and integers
2CP Wrap-Up
5CP Wrap-Up
107
249
D1 identify, use, and convert among
the SI units to measure, estimate, and solve problems
that relate to length, area, volume, and capacity
throughout Ch1,
Ch2, Ch8
8–51,
52–107, 330–367
Chapter 3:
Outcome
Chapter/Section
B8 estimate and determine percent when given
the part and the whole
3.1
3.2
3.3
3CP Wrap-Up
3Task
A11 demonstrate number sense for percent
3.1
3CP Wrap-Up
3Task
B9 estimate and determine the percent of a
number
3.2
3.3
3.4
3CP Wrap-Up
3Task
Pages
112–117
118–125
126–131
141
143
112–117
141
143
118–125
126–131
132–137
141
143
Assessment
Formative
BLM 3.1 Rubric
BLM 3.2 Rubric BLM 3.3 Rubric
Summative
BLM 3CP Chapter Problem Wrap-Up Rubric
BLM 3T Task Rubric
Formative
BLM 3.1 Rubric
Summative
BLM 3CP Chapter Problem Wrap-Up Rubric
BLM 3T Chapter 3 Task Rubric
Formative
BLM 3.2 Rubric
BLM 3.3 Rubric BLM 3.4 Rubric
Summative
BLM 3CP Chapter Problem Wrap-Up Rubric
BLM 3T Task Rubric
5
B10 create and solve problems that involve the
use of percent
3.1
3.2
3.3
3.4
3CP Wrap-Up
A10 illustrate, explain, and express ratios,
fractions, decimals, and percents in alternative
forms
throughout Ch3,
Ch4, Ch9
112–117
118–125
126–131
132–137
141
Formative
BLM 3.1 Rubric
BLM 3.2 Rubric BLM 3.3 Rubric
BLM 3.4 Rubric
Summative
BLM 3CP Chapter Problem Wrap-Up Rubric
103–147,
148–189,
368–419
Chapter 7:
Outcome
Chapter/Section
Pages
E3 make and apply generalizations about the
properties of regular polygons
7.1
7CP Wrap-Up
298–306
329
E1 recognize, name, describe, and construct
polygons
7.1
10.3
10CP Wrap-Up
298–306
442–447
457
E4 make and apply generalizations about
tessellations of polygons
7.2
307–313
E2 predict and generate polygons that can be
formed with a transformation or composition of
transformations of a given polygon
7.2
10.2
10CP Wrap-Up
307–313
436–441
457
Assessment
Formative
BLM 7.1 Rubric
Summative
BLM 7CP Chapter Problem Wrap-Up
Rubric
Formative
BLM 7.1 Rubric
BLM 10.3 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up
Rubric
Formative
BLM 7.2 Rubric
Formative
BLM 7.2 Rubric
BLM 10.2 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up
Rubric
6
E7 make and apply generalizations about angle
relationships
7.2
10.1
10CP Wrap-Up
307–313
424–435
457
E5 construct polyhedra using one type of regular
polygonal face, and describe and name the
resulting Platonic Solids
7.3
7CP Wrap-Up
314–320
329
E6 construct semi-regular polyhedra and describe
and name the resulting solids, and demonstrate
an understanding about their relationships to the
Platonic Solids
7.4
7CP Wrap-Up
321–325
329
Formative
BLM 7.2 Rubric
BLM 10.1 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up Rubric
Formative
BLM 7.3 Rubric
Summative
BLM 7CP Chapter Problem Wrap-Up Rubric
Formative
BLM 7.4 Rubric
Summative
BLM 7CP Chapter Problem Wrap-Up Rubric
7
January—March
Chapter 5:
Outcome
Chapter/Section
Pages
A12 represent integers (including zero) concretely,
pictorially, and symbolically, using a variety of
models
5.1
5CP Wrap-Up 5Task
196–203
249 251
A13 compare and order integers
5.1
196–203
B11 add and subtract integers concretely,
pictorially, and symbolically to solve problems
5.2
5.3
5CP Wrap-Up 5Task
204–210
211–218
249 251
B12 multiply integers concretely, pictorially, and
symbolically to solve problems
5.4
5Task
219–227
251
B13 divide integers concretely, pictorially, and
symbolically to solve problems
5.5
228–233
B14 solve and pose problems which utilize
addition, subtraction, multiplication, and division
of integers
5.7
5Task
240–245
251
B15 apply the order of operations to integers
5.6
5CP Wrap-Up
5Task
234–239
249
251
Assessment
Formative
BLM 5.1 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
BLM 5T Task Rubric
Formative
BLM 5.1 Rubric
Formative
BLM 5.2 Rubric
BLM 5.3 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
BLM 5T Task Rubric
Formative
BLM 5.4 Rubric
Summative
BLM 5T Task Rubric
Formative
BLM 5.5 Rubric
Formative
BLM 5.7 Rubric
Summative
BLM 5T Task Rubric
Formative
BLM 5.6 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
BLM 5T Task Rubric
8
B1 use estimation strategies to assess and justify
the reasonableness of calculation results for
integers and decimal numbers
2CP Wrap-Up
5CP Wrap-Up
107
249
B2 use mental math strategies for calculations
involving integers and decimal numbers
2.5
2.6
5CP Wrap-Up
92–97
98–103
249
B3 demonstrate an understanding of the
properties of operations with decimal numbers
and integers
2CP Wrap-Up
5CP Wrap-Up
107
249
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
BLM 5CP Chapter Problem Wrap-Up Rubric
Formative
BLM 2.5 Rubric
BLM 2.6 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
BLM 5CP Chapter Problem Wrap-Up Rubric
Chapter 4:
Outcome
Chapter/Section
Pages
G1 identify situations for which the probability
would be near 0, 1 – 4, 1 – 2 , 3 – 4, and 1
4.1
152–157
G2 solve probability problems, using simulations
and by conducting experiments
4.2
4.3
4.4
4CP Wrap-Up
158–169
170–177
178–185
189
G3 identify all possible outcomes of two
independent events, using tree diagrams and area
models
4.4
4CP Wrap-Up
178–185
189
G4 create and solve problems, using the numerical
definition of probability
4.2
4.3
4.4
4CP Wrap-Up
158–169
170–177
178–185
189
G5 compare experimental results with theoretical
results
4.2
4.4
158–169
178–185
Assessment
Formative BLM 4.1 Rubric
Formative
BLM 4.2 Rubric
BLM 4.3 Rubric BLM 4.4 Rubric
Summative
BLM 4CP Chapter Problem Wrap-Up Rubric
Formative
BLM 4.4 Rubric
Summative
BLM 4CP Chapter Problem Wrap-Up Rubric
Formative
BLM 4.2 Rubric
BLM 4.3 Rubric BLM 4.4 Rubric
Summative
BLM 4CP Chapter Problem Wrap-Up Rubric
Formative
BLM 4.2 Rubric
9
4CP Wrap-Up
189
G6 use fractions, decimals, and percents as
numerical expressions to describe probability
4.1
4.2
4.3
4.4
4CP Wrap-Up
152–157
158–169
170–177
178–185
189
A6 develop and apply divisibility rules for 3, 4, 6,
and 9
1.3
1CP Wrap-Up
28–33
51
A10 illustrate, explain, and express ratios,
fractions, decimals, and percents in alternative
forms
throughout Ch3,
Ch4, Ch9
103–147,
148–189,
368–419
BLM 4.3 Rubric
Summative
BLM 4CP Chapter Problem Wrap-Up Rubric
Formative
BLM 4.1 Rubric
BLM 4.2 Rubric BLM 4.3 Rubric
BLM 4.4 Rubric
Summative
BLM 4CP Chapter Problem Wrap-Up Rubric
Formative
BLM 1.3 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
Chapter 6:
Outcome
F1 communicate through example the distinction
between biased and unbiased sampling, and firstand second-hand data
F2 formulate questions for investigation from
relevant contexts
F3 select, defend, and use appropriate data
collection methods and evaluate issues to be
considered when collecting data
F4 construct a histogram
Chapter/Section
Pages
6.1
6CP Wrap-Up
256–261
289
6.1
256–261
6.1
6CP Wrap-Up
256–261
289
6.2
262–268
Assessment
Formative
BLM 6.1 Rubric Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
Formative
BLM 6.1 Rubric
Formative
BLM 6.1 Rubric Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
Formative
BLM 6.2 Rubric
10
F5 construct appropriate data displays, grouping
data where appropriate and taking into
consideration the nature of the data
F6 read and make inferences for grouped and
ungrouped data displays
F7 formulate statistics projects to explore current
issues from within mathematics, other subject
areas, or the world of students
F8 determine measures of central tendency and
how they are affected by data presentations and
fluctuations
F9 draw inferences and make predictions based
on the variability of data sets, using range and the
examination of outliers, gaps, and clusters
6.2
6.3
6CP Wrap-Up
262–268
269–275
289
6.3
269–275
Formative
BLM 6.2 Rubric
BLM 6.3 Rubric Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
Formative
BLM 6.3 Rubric
6CP Wrap-Up
289
Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
6.4
6CP Wrap-Up
276–283
289
Formative
BLM 6.4 Rubric Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
6.4
276–283
Formative
BLM 6.4 Rubric
11
Mid-March—June
Chapter 8:
Outcome
Chapter/Section
Pages
D5 demonstrate an understanding of the
relationships among diameter, radii, and
circumference of circles, and use the relationships
to solve problems
8.1
C1 describe a pattern, using written and spoken
language and tables and graphs
8.1
8CP Wrap-Up
8Task
334–345
365 367
C2 summarize simple patterns, using constants,
variables, algebraic expressions, and equations,
and use them in making predictions
8.1
8CP Wrap-Up
8Task
334–345
365 367
C8 determine if an ordered pair is a solution to a
linear equation
8.1
9.2
334–345
381–389
C3 explain the difference between algebraic
expressions and algebraic equations
8.2
8CP Wrap-Up
8Task
346–353
365 367
C4 solve one- and two-step single-variable linear
equations, using systematic trial
8.2
8CP Wrap-Up
9.1
346–353
365 372–380
C5 illustrate the solution for one- and two-step
linear equations, using concrete materials and
diagrams
8.2
9.1
334–345
346–353
372–380
Assessment
Formative
BLM 8.1 Rubric
Formative
BLM 8.1 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
Formative
BLM 8.1 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
Formative
BLM 8.1 Rubric
BLM 9.2 Rubric
Formative
BLM 8.2 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
Formative
BLM 8.2 Rubric BLM 9.1 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
Formative
BLM 8.2 Rubric
BLM 9.1 Rubric
12
C6 graph linear equations, using a table of values
8.2
8CP Wrap-Up
9.2
C7 interpolate and extrapolate number values
from a given graph
8.2
9.2
C9 construct and analyse graphs to show how
change in one quantity affects a related quantity
8.2
8CP Wrap-Up
9.3
9CP Wrap-Up
346–353
365 381–389
346–353
381–389
346–353
365 390–396
415
B16 create and evaluate simple variable
expressions by recognizing that the four
operations apply in the same way as they do for
numerical expressions
8.3
8CP Wrap-Up 8Task
354–361
365 367
B17 distinguish between like and unlike terms
8.3
354–361
8.3
354–361
B18 add and subtract like terms by recognizing the
parallel with numerical situations, using concrete
and pictorial models
D1 identify, use, and convert among
the SI units to measure, estimate, and solve
problems that relate to length, area, volume, and
capacity
throughout Ch1,
Ch2, Ch8
Formative
BLM 8.2 Rubric BLM 9.2 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
Formative
BLM 8.2 Rubric
BLM 9.2 Rubric
Formative
BLM 8.2 Rubric BLM 9.3 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
BLM 9CP Chapter Problem Wrap-Up Rubric
Formative
BLM 8.3 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
Formative
BLM 8.3 Rubric
Formative
BLM 8.3 Rubric
8–51,
52–107, 330–367
Chapter 9:
Outcome
C4 solve one- and two-step single-variable linear
equations, using systematic trial
Chapter/Section
8.2
8CP Wrap-Up
9.1
Pages
346–353
365 372–380
Assessment
Formative
BLM 8.2 Rubric BLM 9.1 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
13
C5 illustrate the solution for one- and two-step
linear equations, using concrete materials and
diagrams
8.2
9.1
C6 graph linear equations, using a table of values
8.2
8CP Wrap-Up
9.2
C7 interpolate and extrapolate number values
from a given graph
8.2
9.2
346–353
381–389
C8 determine if an ordered pair is a solution to a
linear equation
8.1
9.2
334–345
381–389
C9 construct and analyse graphs to show how
change in one quantity affects a related quantity
8.2
8CP Wrap-Up
9.3
9CP Wrap-Up
D3 develop and use rate as a tool for solving
indirect measurement problems in a variety of
contexts
9.4
9CP Wrap-Up
404–411
415
D4 construct and analyse graphs to show change
in one quantity affects a related quantity
9.4
9CP Wrap-Up
404–411
415
D2 apply concepts and skills related to time in
problem situations
A10 illustrate, explain, and express ratios,
fractions, decimals, and percents in alternative
forms
throughout Ch1,
Ch9
8–51,
368–419
103–147,
148–189,
368–419
throughout Ch3,
Ch4, Ch9
346–353
372–380
346–353
365 381–389
346–353
365 390–396
415
Formative
BLM 8.2 Rubric
BLM 9.1 Rubric
Formative
BLM 8.2 Rubric BLM 9.2 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
Formative
BLM 8.2 Rubric
BLM 9.2 Rubric
Formative
BLM 8.1 Rubric
BLM 9.2 Rubric
Formative
BLM 8.2 Rubric BLM 9.3 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
BLM 9CP Chapter Problem Wrap-Up Rubric
Formative
BLM 9.4 Rubric
Summative
BLM 9CP Chapter Problem Wrap-Up
Rubric
Formative
BLM 9.4 Rubric
Summative
BLM 9CP Chapter Problem Wrap-Up
Rubric
14
Chapter 10:
Outcome
Chapter/Section
Pages
Assessment
Formative
BLM 7.2 Rubric
BLM 10.1 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up Rubric
Formative
BLM 10.2 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up Rubric
E7 make and apply generalizations about angle
relationships
7.2
10.1
10CP Wrap-Up
307–313
424–435
457
E8 make and apply generalizations about the
commutativity of transformations
10.2
10CP Wrap-Up
436–441
457
10.4
448–453
Formative
BLM 10.4 Rubric
10.4
448–453
Formative
BLM 10.4 Rubric
E9 make and apply informal deductions about the
minimum sufficient conditions to guarantee that a
given triangle is of a particular type
E10 make informal deductions about the
minimum sufficient conditions to guarantee that a
given quadrilateral is of a particular type, and to
understand formal definitions of the various
members of the quadrilateral family
E1 recognize, name, describe, and construct
polygons
7.1
10.3
10CP Wrap-Up
298–306
442–447
457
E2 predict and generate polygons that can be
formed with a transformation or composition of
transformations of a given polygon
7.2
10.2
10CP Wrap-Up
307–313
436–441
457
Formative
BLM 7.1 Rubric
BLM 10.3 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up
Rubric
Formative
BLM 7.2 Rubric
BLM 10.2 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up
Rubric
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