Grade 8 Math Yearly Plan



Sample C:

Mathematics 8 Yearly Plan 1A

from Mathematics Teaching Resource

TR8 Yearly Plan 1A

This yearly plan starts with data management because there is minimal background needed for this topic and it is a fun, interesting, and current unit to complete at the start of the year. There is also an attempt to alternate units that tend to be mainly symbolic with units that tend to be mainly spatial. The numerical operations are spread throughout the year to avoid overloading the student. The specific curriculum outcomes listed are identified at the first point in time that they are introduced in the school year. As they are revisited, they are italicized. Measurement is set in December because it is a smaller unit suitable for the limited time. Algebra operations, patterns, and relationships are taught near the end of the year as a prelude to grade 9. In this sample, probability is taught in June because it is an activity-oriented topic that will keep students actively engaged.

Refer to the mental math yearly plan to help plan your daily mental math .

September

Data Management (approximate time: three weeks)

|Outcome |Chapter/Section |Pages |Assessment |

|F1 demonstrate an understanding of the variability of repeated |5.1 |188–197 | |

|samples of the same population | | | |

|F2 develop and apply the concept of randomness |5.1 |188–197 |Formative |

| |5CP Wrap-Up |237 |BLM 5.1 Rubric |

| | | |Summative |

| | | |BLM 5CP Chapter Problem Wrap-Up Rubric |

|F3 construct and interpret circle graphs |5.5 |220–225 |Formative |

| |5Task |238–239 |BLM 5.5 Rubric |

| | | |Summative |

| | | |BLM 5T Task Rubric |

|F4 construct and interpret scatter plots and determine a line of|5.6 |226–233 |Formative |

|best fit by inspection |5CP Wrap-Up |237 |BLM 5.6 Rubric |

| |5Task |238–239 |Summative |

| | | |BLM 5CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 5T Task Rubric |

|F5 construct and interpret box-and-whisker plots |5.4 |213–219 |Formative |

| |5CP Wrap-Up |237 |BLM 5.4 Rubric |

| |5Task |238–239 |Summative |

| | | |BLM 5CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 5T Task Rubric |

|F6 extrapolate and interpolate information from graphs |5.6 |226–233 |Formative |

| |5CP Wrap-Up |237 |BLM 5.6 Rubric |

| |5Task |238–239 |Summative |

| | | |BLM 5CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 5T Task Rubric |

|F7 determine the effect of variations in data on the mean, |5.3 |206–212 |Formative |

|median, and mode | | |BLM 5.3 Rubric |

|F8 develop and conduct statistics projects to solve problems |5Task |238–239 |Summative |

| | | |BLM 5T Task Rubric |

|F9 evaluate data interpretations that are based on graphs and |throughout ch5 |186–233 | |

|tables | | | |

October

Number Sense (approximate time: three weeks)

|Outcome |Chapter/Section |Pages |Assessment |

|A1 model and link various representations of square root of a |1.1 |14–19 |Summative |

|number |1.3 |25–35 |BLM 2T Task Rubric |

| |2Task |102–103 | |

|A2 recognize perfect squares between 1 and 144 and apply |1.1 |14–19 |Summative |

|patterns related to them |1.2 |20–24 |BLM 2T Task Rubric |

| |2Task |102–103 | |

|A3 distinguish between an exact square root of a number and its |1.2 |20–24 |Summative |

|decimal approximation |2Task |102–103 |BLM 2T Task Rubric |

|A4 find the square root of any number, using an appropriate |1.2 |20–24 |Formative |

|method |1CP Wrap-Up |45 |BLM 1.2 Rubric |

| |2Task |102–103 |Summative |

| | | |BLM 1CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 2T Task Rubric |

|A5 demonstrate and explain the meaning of negative exponents for|6.1 |246–253 |Formative |

|base ten | | |BLM 6.1 Rubric |

|A6 represent any number written in scientific notation in |6.2 |254–261 |Formative |

|standard form, and vice versa |8Task |380–381 |BLM 6.2 Rubric |

| | | |Summative |

| | | |BLM 8T Task Rubric |

|D9 demonstrate an understanding of the Pythagorean relationship,|1.3 |25–35 |Formative |

|using models |1.4 |36–41 |BLM 1.3 Rubric |

| |1CP Wrap-Up |45 |Summative |

| |2Task |102–103 |BLM 1CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 2T Task Rubric |

|D10 apply the Pythagorean relationship in problem situations |1.4 |36–41 |Formative |

| |1CP Wrap-Up |45 |BLM 1.4 Rubric |

| |2Task |102–103 |Summative |

| | | |BLM 1CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 2T Task Rubric |

October/November

Fractions/Rationals (approximate time: five weeks)

|Outcome |Chapter/Section |Pages |Assessment |

|A7 compare and order integers and positive and negative rational|6.3 |262–267 |Formative |

|numbers (in decimal and fractional forms) |6CP Wrap-Up |287 |BLM 6.3 Rubric |

| | | |Summative |

| | | |BLM 6CP Chapter Problem Wrap-Up Rubric |

|B1 demonstrate an understanding of the properties of operations |6.5 |276–283 |Formative |

|with integers and positive and negative rational numbers (in |6CP Wrap-Up |287 |BLM 6.5 Rubric |

|decimal and fractional forms) |8Task |380–381 |Summative |

| | | |BLM 6CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 8T Task Rubric |

|B5 add and subtract fractions concretely, pictorially, and |2.1 |56–69 |Formative |

|symbolically |2CP Wrap-Up |101 |BLM 5.1 Rubric |

| |2Task |102–103 |Summative |

| | | |BLM 2CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 2T Task Rubric |

|B6 add and subtract fractions mentally, when appropriate |2.1 |56–69 |Summative |

| |2CP Wrap-Up |101 |BLM 2CP Chapter Problem Wrap-Up Rubric |

| |2Task |102–103 |BLM 2T Task Rubric |

|B7 multiply fractions concretely, pictorially, can symbolically |2.2 |70–81 |Formative |

| |2Task |102–103 |BLM 2.2 Rubric |

| | | |Summative |

| | | |BLM 2T Task Rubric |

|B8 divide fractions concretely, pictorially, and symbolically |2.3 |82–91 |Formative |

| | | |BLM 2.3 Rubric |

|B9 estimate and mentally compute products and quotients |2.2 |70–81 |Formative |

|involving fractions |2.3 |82–91 |BLM 2.2 Rubric |

| |2CP Wrap-Up |101 |Summative |

| |2Task |102–103 |BLM 2CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 2T Task Rubric |

|B10 apply the order of operations to fraction computations, |2.4 |92–97 |Formative |

|using both pencil and paper and the calculator |2CP Wrap-Up |101 |BLM 2.4 Rubric |

| | | |Summative |

| | | |BLM 2CP Chapter Problem Wrap-Up Rubric |

|B11 model, solve, and create problems involving fractions in |2.1 |56–69 |Summative |

|meaningful contexts |2.2 |70–81 |BLM 2CP Chapter Problem Wrap-Up Rubric |

| |2.3 |82–91 |BLM 2T Task Rubric |

| |2.4 |92–97 | |

| |2CP Wrap-Up |101 | |

| |2Task |102–103 | |

|B12 add, subtract, multiply, and divide positive and negative |6.4 |268–275 |Formative |

|decimal numbers with and without the calculator |6CP Wrap-Up |287 |BLM 6.4 Rubric |

| |8Task |380–381 |Summative |

| | | |BLM 6CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 8T Task Rubric |

|B13 solve and create problems involving addition, subtraction, |6.4 |268–275 |Formative |

|multiplication, and division of positive and negative numbers |8Task |380–381 |BLM 6.4 Rubric |

| | | |Summative |

| | | |BLM 8T Task Rubric |

December

Measurement (approximate time: three weeks)

|Outcome |Chapter/Section |Pages |Assessment |

|D2 solve measurement problems, using appropriate SI units |10.1 |430–435 |Summative |

| |10.2 |436–443 |BLM 10CP Chapter Problem Wrap-Up Rubric |

| |10.3 |444–455 | |

| |10.4 |456–463 | |

| |10.5 |464–473 | |

| |10CP Wrap-Up |477 | |

|D3 estimate areas of circles |10.2 |436–443 | |

|D4 develop and use the formula for the area of a circle |10.2 |436–443 |Formative |

| | | |BLM 10.2 Rubric |

|D5 describe patterns and generalize the relationships between |10.1 |430–435 |Formative |

|areas and perimeters of quadrilaterals, and areas and |10.2 |436–443 |BLM 10.1 Rubric |

|circumferences of circles |10.3 |444–455 |BLM 10.3 Rubric |

|D6 calculate the areas of composite figures |10.3 |444–455 |Formative |

| |10CP Wrap-Up |477 |BLM 10.3 Rubric |

| | | |Summative |

| | | |BLM 10CP Chapter Problem Wrap-Up Rubric |

D2 should be addressed all year long and not taught in isolation.

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 |Assessment |

|A9 solve proportion problems that involve equivalent ratios and |4.2 |158–167 | |

|rates | | | |

|B2 solve problems involving proportions, using a variety of |4.2 |158–167 |Formative |

|methods |4.3 |168–177 |BLM 4.2 Rubric |

| |4CP Wrap-Up |181 |Summative |

| | | |BLM 4CP Chapter Problem Wrap-Up Rubric |

|C3 construct and analyse tables and graphs to describe how |8.2 |341–347 |Formative |

|change in one quantity affects a related quantity | | |BLM 8.2 Rubric |

|C5 solve problems involving the intersection of two lines on a |8.4 |361–367 |Formative |

|graph | | |BLM 8.4 Rubric |

|D1 solve indirect measurement problems, using proportions |4.2 |158–167 | |

| |4.3 |168–177 | |

|E2 make and apply generalizations about the properties of |9.1 |121–130 |Formative |

|rotations and dilatations, and use dilatations in perspective |9CP Wrap-Up |388–394 |BLM 3.3 Rubric |

|drawings of various 2-D shapes | |410–417 |BLM 9.1 Rubric |

| | |421 |Summative |

| | | |BLM 9CP Chapter Problem Wrap-Up Rubric |

January/February

|Outcome |Chapter/Section |Pages |Assessment |

|A8 represent and apply fractional percents, and percents greater|4.1 |148–157 | |

|than 100, in fraction or decimal form, and vice versa | | | |

|B3 create and solve problems which involve finding a, b, or c in|4.1 |148–157 |Formative |

|the relationship a% of b = c, using estimation and calculation |4.3 |168–177 |BLM 4.1 Rubric |

| | | |BLM 4.3 Rubric |

|B4 apply percentage increase and decrease in problem situations |4.1 |148–157 |Summative |

| |4.3 |168–177 |BLM 4CP Chapter Problem Wrap-Up Rubric |

| |4CP Wrap-Up |181 |BLM 6CP Chapter Problem Wrap-Up Rubric |

| |6CP Wrap-Up |287 | |

Percentages (approximate time: two weeks)

February

Volumes and Surface Areas (approximate time: three weeks)

|Outcome |Chapter/Section |Pages |Assessment |

|D7 estimate and calculate volumes and surface areas of right |10.4 |456–463 |Formative |

|prisms and cylinders |10.5 |464–473 |BLM 10.4 Rubric |

| |10CP Wrap-Up |477 |BLM 10.5 Rubric |

| | | |Summative |

| | | |BLM 10CP Chapter Problem Wrap-Up Rubric |

|D8 measure and calculate volumes and surface areas of composite |10.4 |456–463 |Formative |

|3-D shapes |10.5 |464–473 |BLM 10.5 Rubric |

| |10CP Wrap-Up |477 |Summative |

| | | |BLM 10CP Chapter Problem Wrap-Up Rubric |

|E6 recognize, name, describe, and make and apply generalizations|9.3 |131–137 |Formative |

|about the properties of prisms, pyramids, cylinders, and cones |9CP Wrap-Up |403–409 |BLM 3.3 Rubric |

| | |421 |BLM 3.4 Rubric |

| | | |BLM 9.3 Rubric |

| | | |Summative |

| | | |BLM 9CP Chapter Problem Wrap-Up Rubric |

March/April

3-D Geometry (approximate time: four 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 |Pages |Assessment |

|E1 make and apply informal deductions about the minimum |3.1 |108–113 |Formative |

|sufficient conditions to guarantee the uniqueness of a triangle |3.2 |114–120 |BLM 3.1 Rubric |

|and the congruency of two triangles | | | |

|E2 make and apply generalizations about the properties of |3.3 |121–130 |Formative |

|rotations and dilatations, and use dilatations in perspective |9.4 |388–394 |BLM 3.3 Rubric |

|drawings of various 2-D shapes |9CP Wrap-Up |410–417 |BLM 9.1 Rubric |

| | |421 |Summative |

| | | |BLM 9CP Chapter Problem Wrap-Up Rubric |

|E3 make and apply generalizations about the properties of |9.2 |395–402 |Formative |

|similar 2-D shapes |9CP Wrap-Up |421 |BLM 9.2 Rubric |

| | | |Summative |

| | | |BLM 9CP Chapter Problem Wrap-Up Rubric |

|E4 perform various 2-D constructions and apply the properties of|3.3 |121–130 |Summative |

|transformations to these constructions |3CP Wrap-Up |141 |BLM 3CP Chapter Problem Wrap-Up Rubric |

|E7 draw isometric and orthographic views of 3-D shapes and |9.4 |410–417 |Formative |

|construct 3-D models from these views |9CP Wrap-Up |421 |BLM 9.4 Rubric |

| | | |Summative |

| | | |BLM 9CP Chapter Problem Wrap-Up Rubric |

April

Algebra (approximate time: two weeks)

Integer work was developed in Grade 7. Work on fractions was covered in November. In this unit, known concepts are extended to negative numbers to develop number and operation sense for rational numbers.

|Outcome |Chapter/Section |Pages |Assessment |

|A7 compare and order integers and positive and negative rational|6.3 |262–267 |Formative |

|numbers (in decimal and fractional forms) |6CP Wrap-Up |287 |BLM 6.3 Rubric |

| | | |Summative |

| | | |BLM 6CP Chapter Problem Wrap-Up Rubric |

|B1 demonstrate an understanding of the properties of operations |6.5 |276–283 |Formative |

|with integers and positive and negative rational numbers (in |6CP Wrap-Up |287 |BLM 6.5 Rubric |

|decimal and fractional forms) |8Task |380–381 |Summative |

| | | |BLM 6CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 8T Task Rubric |

|B5 add and subtract fractions concretely, pictorially, and |2.1 |56–69 |Formative |

|symbolically |2CP Wrap-Up |101 |BLM 5.1 Rubric |

| |2Task |102–103 |Summative |

| | | |BLM 2CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 2T Task Rubric |

|B6 add and subtract fractions mentally, when appropriate |2.1 |56–69 |Summative |

| |2CP Wrap-Up |101 |BLM 2CP Chapter Problem Wrap-Up Rubric |

| |2Task |102–103 |BLM 2T Task Rubric |

|B7 multiply fractions concretely, pictorially, can symbolically |2.2 |70–81 |Formative |

| |2Task |102–103 |BLM 2.2 Rubric |

| | | |Summative |

| | | |BLM 2T Task Rubric |

|B8 divide fractions concretely, pictorially, and symbolically |2.3 |82–91 |Formative |

| | | |BLM 2.3 Rubric |

|B9 estimate and mentally compute products and quotients |2.2 |70–81 |Formative |

|involving fractions |2.3 |82–91 |BLM 2.2 Rubric |

| |2CP Wrap-Up |101 |Summative |

| |2Task |102–103 |BLM 2CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 2T Task Rubric |

|B10 apply the order of operations to fraction computations, |2.4 |92–97 |Formative |

|using both pencil and paper and the calculator |2CP Wrap-Up |101 |BLM 2.4 Rubric |

| | | |Summative |

| | | |BLM 2CP Chapter Problem Wrap-Up Rubric |

|B11 model, solve, and create problems involving fractions in |2.1 |56–69 |Summative |

|meaningful contexts |2.2 |70–81 |BLM 2CP Chapter Problem Wrap-Up Rubric |

| |2.3 |82–91 |BLM 2T Task Rubric |

| |2.4 |92–97 | |

| |2CP Wrap-Up |101 | |

| |2Task |102–103 | |

|B12 add, subtract, multiply, and divide positive and negative |6.4 |268–275 |Formative |

|decimal numbers with and without the calculator |6CP Wrap-Up |287 |BLM 6.4 Rubric |

| |8Task |380–381 |Summative |

| | | |BLM 6CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 8T Task Rubric |

|B13 solve and create problems involving addition, subtraction, |6.4 |268–275 |Formative |

|multiplication, and division of positive and negative numbers |8Task |380–381 |BLM 6.4 Rubric |

| | | |Summative |

| | | |BLM 8T Task Rubric |

April/May

Patterns and Linear Relations (approximate time: four weeks)

|Outcome |Chapter/Section |Pages |Assessment |

|C1 represent patterns and relationships in a variety of formats |8.1 |330–340 |Formative |

|and use these representations to predict unknown values |8.5 |368–375 |BLM 8.1 Rubric |

| |8Task |380–381 |Summative |

| | | |BLM 8T Task Rubric |

|E5 make and apply generalizations about the properties of |3.4 |131–137 |Formative |

|regular polygons |3CP Wrap-Up |141 |BLM 3.4 Rubric |

| | | |Summative |

| | | |BLM 3CP Chapter Problem Wrap-Up Rubric |

|C2 interpret graphs that represent linear and non-linear data |8.2 |341–347 |Formative |

| |8.5 |368–375 |BLM 8.2 Rubric |

| |8CP Wrap-Up |379 |BLM 8.5 Rubric |

| | | |Summative |

| | | |BLM 8CP Chapter Problem Wrap-Up Rubric |

|C3 construct and analyse tables and graphs to describe how |8.2 |341–347 |Formative |

|change in one quantity affects a related quantity | | |BLM 8.2 Rubric |

|C4 link visual characteristics of slope with its numerical value|8.3 |348–360 |Formative |

|by comparing vertical change with horizontal change | | |BLM 8.3 Rubric |

|C5 solve problems involving the intersection of two lines on a |8.4 |361–367 |Formative |

|graph | | |BLM 8.4 Rubric |

|B14 add and subtract algebraic terms concretely, pictorially, |7.1 |296–304 |Formative |

|and symbolically to solve simple algebraic problems |7CP Wrap-Up |325 |BLM 7.1 Rubric |

| |8Task |380–381 |Summative |

| | | |BLM 7CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 8T Task Rubric |

|B15 explore addition and subtraction of polynomial expressions, |7.1 |296–304 |Formative |

|concretely and pictorially |8Task |380–381 |BLM 7.1 Rubric |

| | | |Summative |

| | | |BLM 8T Task Rubric |

|B16 demonstrate an understanding of multiplication of a |7.2 |305–309 |Formative |

|polynomial by a scalar, concretely, pictorially, and | | |BLM 7.2 Rubric |

|symbolically | | | |

May/June

Patterns and Linear Relations (approximate time: two weeks)

|Outcome |Chapter/Section |Pages |Assessment |

|C6 solve and verify simple linear equations algebraically |7.3 |310–321 |Formative |

| |7CP Wrap-Up |325 |BLM 7.3 Rubric |

| |8Task |380–381 |Summative |

| | | |BLM78CP Chapter Problem Wrap-Up Rubric |

| | | |BLM 8T Task Rubric |

|C7 create and solve problems, using linear equations |7.3 |310–321 | |

June

Probability (approximate time: two weeks)

G1, G2, G3, and G4 are the outcomes relating to probability. In this unit, some B and D outcomes are listed, since activities that demonstrate and teach the probability outcomes often incorporate other outcomes.

|Outcome |Chapter/Section |Pages |Assessment |

|G1 conduct experiments and simulations to find probabilities of |5.1 |188–197 |Summative |

|single and complementary events |5CP Wrap-Up |237 |BLM 5CP Chapter Problem Wrap-Up Rubric |

|G2 determine theoretical probabilities of single and |5.2 |198–205 |Formative |

|complementary events | | |BLM 5.2 Rubric |

|G3 compare experimental and theoretical probabilities |5.2 |198–205 |Formative |

| |5CP Wrap-Up |237 |BLM 5.2 Rubric |

| | | |Summative |

| | | |BLM 5CP Chapter Problem Wrap-Up Rubric |

|G4 demonstrate an understanding of how data is used to establish|throughout ch5 |186–233 | |

|broad probability patterns | | | |

|B2 solve problems involving proportions, using a variety of |4.2 |158–167 |Formative |

|methods |4.3 |168–177 |BLM 4.2 Rubric |

| |4CP Wrap-Up |181 |Summative |

| | | |BLM 4CP Chapter Problem Wrap-Up Rubric |

|B3 create and solve problems which involve finding a, b, or c in|4.1 |148–157 |Formative |

|the relationship a% of b = c, using estimation and calculation |4.3 |168–177 |BLM 4.1 Rubric |

| | | |BLM 4.3 Rubric |

|D3 estimate areas of circles |10.2 |436–443 | |

|D4 develop and use the formula for the area of a circle |10.2 |436–443 |Formative |

| | | |BLM 10.2 Rubric |

|D5 describe patterns and generalize the relationships between |10.1 |430–435 |Formative |

|areas and perimeters of quadrilaterals, and areas and |10.2 |436–443 |BLM 10.1 Rubric |

|circumferences of circles |10.3 |444–455 |BLM 10.3 Rubric |

Recurring Outcomes

The following outcome will be addressed on an ongoing basis.

|Outcome |Chapter/Section |Pages |Assessment |

|D2 solve measurement problems, using appropriate SI units |10.1 |430–435 |Summative |

| |10.2 |436–443 |BLM 10CP Chapter Problem Wrap-Up Rubric |

| |10.3 |444–455 | |

| |10.4 |456–463 | |

| |10.5 |464–473 | |

| |10CP Wrap-Up |477 | |

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