Sample D:
Grade 8 Mathematics Yearly Plan 1B
from Mathematics Teaching Resource
TR8 Yearly Plan 1B
This yearly plan starts with Pythagorean relationships (including squares and square root) since this is a topic that involves numerical
operations and incorporates many applications for topics throughout the year. In this plan, these operations are done early in the year due to
the volume of numerical operations at the grade 8 level and also because they serve as a background for the rest of the topics.
Measurement, proportion, 3-D geometry, and data management alternate December through April. This variation is to maintain student
interest and to avoid the monotony of doing a single topic over a long period of time. Algebra operations, patterns, and relations are taught at
the end of the year as a prelude to grade 9. Dealing with SI units may be incorporated into several units throughout the year.
Refer to the mental math yearly plan to help plan your daily mental math.
September
Number Theory (approximate time: three weeks)
Outcome
Chapter/Section
Pages
Assessment
A1 model and link various
representations of the square root of a
number
A2 recognize perfect squares between 1
and 144 and apply patterns related to
them
A3 distinguish between an exact square
root of a number and its decimal
approximation
A4 find the square root of any number,
using an appropriate method
1.1
1.3
2Task
1.1
1.2
2Task
1.2
2Task
14–19
25–35
102–103
14–19
20–24
102–103
20–24
102–103
Summative
BLM 2T Task Rubric
1.2
1CP Wrap-Up
2Task
20–24
45
102–103
D9 demonstrate an understanding of the
Pythagorean relationship, using models
1.3
1.4
1CP Wrap-Up
2Task
25–35
36–41
45
102–103
Formative
BLM 1.2 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
BLM 2T Task Rubric
Formative
BLM 1.3 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
BLM 2T Task Rubric
Summative
BLM 2T Task Rubric
Summative
BLM 2T Task Rubric
D10 apply the Pythagorean relationship in
problem situations
1.4
1CP Wrap-Up
2Task
36–41
45
102–103
A5 demonstrate and explain the meaning
of negative exponents for base 10
A6 represent any number written in
scientific notation in standard form, and
vice versa
6.1
246–253
6.2
8Task
254–261
380–381
Formative
BLM 1.4 Rubric
Summative
BLM 1CP Chapter Problem Wrap-Up Rubric
BLM 2T Task Rubric
Formative
BLM 6.1 Rubric
Formative
BLM 6.2 Rubric
Summative
BLM 8T Task Rubric
October
Numerical Operations (approximate time: three weeks)
Outcome
Chapter/Section
Pages
A8 represent and apply fractional
percentages, and percentages greater
than 100, in fractional or decimal form,
and vice versa
B1 demonstrate an understanding of the
properties of operations with integers and
positive and negative rational numbers (in
decimal and fractional forms)
4.1
148–157
6.5
6CP Wrap-Up
8Task
276–283
287
380–381
B3 create and solve problems that involve
finding a, b, or c in the relationship a% of
b = c, using estimation and calculation
4.1
4.3
148–157
168–177
Assessment
Formative
BLM 6.5 Rubric
Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
Formative
BLM 4.1 Rubric
BLM 4.3 Rubric
B4 apply percentage increase and
decrease in problem situations
A7 compare and order integers and
positive and negative rational numbers (in
decimal and fractional forms)
4.1
4.3
4CP Wrap-Up
6CP Wrap-Up
6.3
148–157
168–177
181
287
262–267
287
6CP Wrap-Up
Summative
BLM 4CP Chapter Problem Wrap-Up Rubric
BLM 6CP Chapter Problem Wrap-Up Rubric
Formative
BLM 6.3 Rubric
Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
October/November
Operation Sense (approximate time: five weeks)
Outcome
Chapter/Section
Pages
B5 add and subtract fractions concretely,
pictorially, and symbolically
2.1
2CP Wrap-Up
2Task
56–69
101
102–103
B6 add and subtract fractions mentally,
when appropriate
2.1
2CP Wrap-Up
2Task
2.2
2Task
56–69
101
102–103
70–81
102–103
B8 divide fractions concretely, pictorially,
and symbolically
2.3
82–91
B9 estimate and mentally compute
products and quotients involving fractions
2.2
2.3
2CP Wrap-Up
2Task
70–81
82–91
101
102–103
B7 multiply fractions concretely,
pictorially, and symbolically
Assessment
Formative
BLM 5.1 Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
BLM 2T Task Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
BLM 2T Task Rubric
Formative
BLM 2.2 Rubric
Summative
BLM 2T Task Rubric
Formative
BLM 2.3 Rubric
Formative
BLM 2.2 Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
BLM 2T Task Rubric
B10 apply the order of operations to
fraction computations, using both pencil
and paper and calculator
2.4
2CP Wrap-Up
92–97
101
B11 model, solve, and create problems
involving fractions in meaningful contexts
2.1
2.2
2.3
2.4
2CP Wrap-Up
2Task
6.4
6CP Wrap-Up
8Task
56–69
70–81
82–91
92–97
101
102–103
268–275
287
380–381
6.4
8Task
268–275
380–381
B12 add, subtract, multiply, and divide
positive and negative decimal numbers,
with and without a calculator
B13 solve and create problems involving
addition, subtraction, multiplication, and
division of positive and negative numbers
Formative
BLM 2.4 Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
Summative
BLM 2CP Chapter Problem Wrap-Up Rubric
BLM 2T Task Rubric
Formative
BLM 6.4 Rubric
Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
Formative
BLM 6.4 Rubric
Summative
BLM 8T Task Rubric
December
Measurement (approximate time: three weeks)
Outcome
Chapter/Section
Pages
D3 estimate areas of circles
10.2
436–443
D4 develop and use the formula for the
area of a circle
D5 describe patterns, and generalize the
relationships between areas and
perimeters of quadrilaterals and areas
and circumferences of circles
D6 calculate the areas of composite
figures
10.2
436–443
10.1
10.2
10.3
430–435
436–443
444–455
10.3
10CP Wrap-Up
444–455
477
Assessment
Formative
BLM 10.2 Rubric
Formative
BLM 10.1 Rubric
BLM 10.3 Rubric
Formative
BLM 10.3 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up Rubric
January
Ratios, Rates, and Proportions (approximate time: three weeks)
In outcomes C3 and C5, the intent is to focus on the part of the elaboration that relates to ratios, rates, and proportions. Theses outcomes
will be revisited later on in the year. For outcome E2, work with dilatations is to be addressed here and the rest of the outcome will be dealt
with in the geometry unit.
Outcome
Chapter/Section
Pages
A9 solve proportion problems that involve
equivalent ratios and rates
B2 solve problems involving proportions,
using a variety of methods
4.2
158–167
4.2
4.3
4CP Wrap-Up
158–167
168–177
181
C3 construct and analyse tables and
graphs to describe how change in one
quantity affects a related quantity
C5 solve problems involving the
intersection of two lines on a graph
D1 solve indirect measurement problems,
using proportions
E2 make and apply generalizations about
the properties of rotations and dilatations,
and use dilatations in perspective
drawings of various 2-D shapes
8.2
341–347
8.4
361–367
4.2
4.3
9.1
158–167
168–177
121–130
388–394
410–417
421
9CP Wrap-Up
Assessment
Formative
BLM 4.2 Rubric
Summative
BLM 4CP Chapter Problem Wrap-Up Rubric
Formative
BLM 8.2 Rubric
Formative
BLM 8.4 Rubric
Formative
BLM 3.3 Rubric
BLM 9.1 Rubric
Summative
BLM 9CP Chapter Problem Wrap-Up Rubric
February
3-D Geometry (approximate time: 4 weeks)
The outcomes in this section could be done as 2 two-week units, with E1 and E3 done together and then E2 and E4 done together. E7 and
the work in E2 on perspective drawings could be addressed either through the technology education or art curriculum.
Outcome
Chapter/Section
E1 make and apply informal deductions
about the minimum sufficient conditions to
guarantee the uniqueness of a triangle
and the congruency of two triangles
3.1
E2 make and apply generalizations about
the properties of rotations and dilatations,
and use dilatations in perspective
drawings of various 2-D shapes
3.3
E3 make and apply generalizations about
the properties of similar 2-D shapes
9.2
E4 perform various 2-D constructions and
apply the properties of transformations to
these constructions
3.3
E7 draw isometric and orthographic views
of 3-D shapes and construct 3-D models
from these views
9.4
Pages
Assessment
108–113
114–120
Formative
BLM 3.1 Rubric
121–130
388–394
410–417
421
Formative
BLM 3.3 Rubric
BLM 9.1 Rubric
Summative
BLM 9CP Chapter Problem Wrap-Up Rubric
395–402
421
Formative
BLM 9.2 Rubric
Summative
BLM 9CP Chapter Problem Wrap-Up Rubric
Summative
BLM 3CP Chapter Problem Wrap-Up Rubric
3.2
9.4
9CP Wrap-Up
9CP Wrap-Up
121–130
141
3CP Wrap-Up
9CP Wrap-Up
410–417
421
Formative
BLM 9.4 Rubric
Summative
BLM 9CP Chapter Problem Wrap-Up Rubric
Note: An alternative to teaching 3-D geometry as a three-week block is to designate a set period, such as Friday afternoon all year long, as
an established time frame to spend on this topic.
March
Data Management (approximate time: three weeks)
Outcome
Chapter/Section
Pages
F1 demonstrate an understanding of the
variability of repeated samples of the
same population
F2 develop and apply the concept of
randomness
5.1
188–197
5.1, 5CP Wrap-Up
188–197, 237
F3 construct and interpret circle graphs
5.5, 5Task
220–225, 238–
239
F4 construct and interpret scatter plots,
and determine a line of best fit by
inspection
5.6
226–233
237
238–239
5CP Wrap-Up
5Task
F5 construct and interpret box-andwhisker plots
5.4
5CP Wrap-Up
5.6
5CP Wrap-Up
5Task
Formative
BLM 5.1 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
Formative
BLM 5.5 Rubric
Summative
BLM 5T Task Rubric
Formative
BLM 5.6 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
BLM 5T Task Rubric
213–219
237
238–239
Formative
BLM 5.4 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
BLM 5T Task Rubric
226–233
237
238–239
Formative
BLM 5.6 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
BLM 5T Task Rubric
5Task
F6 extrapolate and interpolate information
from graphs
Assessment
F7 determine the effect of variations in
data on the mean, median, and mode
5.3
206–212
Formative
BLM 5.3 Rubric
F8 develop and conduct statistics projects
to solve problems
F9 evaluate data interpretations that are
based on graphs and tables
5Task
238–239
Summative
BLM 5T Task Rubric
throughout ch5
186–233
April
Measurement (approximate time: three weeks)
Teachers should revisit fractions and percentages through measurement word problems.
Outcome
Chapter/Section
Pages
D7 estimate and calculate volumes and
surface areas of right prisms and
cylinders
10.4
10.5
10CP Wrap-Up
456–463
464–473
477
D8 measure and calculate volumes and
surface areas of composite 3-D shape
10.4
10.5
10CP Wrap-Up
456–463
464–473
477
E6 recognize, name, describe, and make
and apply generalizations about the
properties of prisms, pyramids, cylinders,
and cones
9.3
131–137
403–409
421
9CP Wrap-Up
Assessment
Formative
BLM 10.4 Rubric
BLM 10.5 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up Rubric
Formative
BLM 10.5 Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up Rubric
Formative
BLM 3.3 Rubric
BLM 3.4 Rubric
BLM 9.3 Rubric
Summative
BLM 9CP Chapter Problem Wrap-Up Rubric
April/May
Patterns and Relations (approximate time: four weeks)
Outcome
Chapter/Section
Pages
Assessment
C1 represent patterns and relationships in
a variety of formats and use these
representations to predict unknown
values
E5 make and apply generalizations about
the properties of regular polygons
8.1
8.5
8Task
330–340
368–375
380–381
Formative
BLM 8.1 Rubric
Summative
BLM 8T Task Rubric
Formative
BLM 3.4 Rubric
Summative
BLM 3CP Chapter Problem Wrap-Up Rubric
Formative
BLM 8.2 Rubric
BLM 8.5 Rubric
Summative
BLM 8CP Chapter Problem Wrap-Up Rubric
Formative
BLM 8.2 Rubric
3.4
3CP Wrap-Up
131–137
141
C2 interpret graphs that represent linear
and non-linear data
8.2
8.5
8CP Wrap-Up
341–347
368–375
379
C3 construct and analyse tables and
graphs to describe how change in one
quantity affects a related quantity
C4 link the visual characteristics of a
slope with its numerical value by
comparing the vertical change to the
horizontal change
C5 solve problems involving the
intersection of two lines on a graph
B14 add and subtract algebraic terms
concretely, pictorially, and symbolically to
solve simple algebraic problems
8.2
341–347
8.3
348–360
Formative
BLM 8.3 Rubric
8.4
361–367
7.1
7CP Wrap-Up
8Task
296–304
325
380–381
Formative
BLM 8.4 Rubric
Formative
BLM 7.1 Rubric
Summative
BLM 7CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
B15 explore addition and subtraction of
polynomial expressions concretely and
pictorially
7.1
8Task
296–304
380–381
B16 demonstrate an understanding of
multiplication of a polynomial by a scalar
concretely, pictorially, and symbolically
7.2
305–309
Formative
BLM 7.1 Rubric
Summative
BLM 8T Task Rubric
Formative
BLM 7.2 Rubric
May/June
Patterns and Relations (approximate time: two weeks)
Outcome
Chapter/Section
Pages
C6 solve and verify simple linear
equations algebraically
7.3
7CP Wrap-Up
8Task
310–321
325
380–381
C7 create and solve problems, using
linear equations
7.3
7CP Wrap-Up
8Task
310–321
325
380–381
Assessment
Formative
BLM 7.3 Rubric
Summative
BLM78CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
Formative
BLM 7.3 Rubric
Summative
BLM78CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
June
Probability (approximate time: one to two weeks)
Outcome
G1 conduct experiments and simulations
to find probabilities of single and
complementary events
G2 determine theoretical probabilities of
single and complementary events
G3 compare experimental and theoretical
probabilities
Chapter/Section
Pages
5.1
5CP Wrap-Up
188–197
237
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
5.2
198–205
5.2
198–205
237
Formative
BLM 5.2 Rubric
Formative
BLM 5.2 Rubric
Summative
BLM 5CP Chapter Problem Wrap-Up Rubric
5CP Wrap-Up
G4 demonstrate an understanding of how
data is used to establish broad probability
patterns
Assessment
throughout ch5
186–233
Recurring Outcomes
The following outcome will be addressed on a daily and ongoing basis.
Outcome
Chapter/Section
Pages
B1 demonstrate an understanding of the
properties of operations with integers and
positive and negative rational numbers (in
decimal and fractional forms)
6.5
6CP Wrap-Up
8Task
276–283
287
380–381
D2 solve measurement problems, using
appropriate SI units
10.1
10.2
10.3
10.4
10.5
10CP Wrap-Up
430–435
436–443
444–455
456–463
464–473
477
Assessment
Formative
BLM 6.5 Rubric
Summative
BLM 6CP Chapter Problem Wrap-Up Rubric
BLM 8T Task Rubric
Summative
BLM 10CP Chapter Problem Wrap-Up Rubric