Grade 8 - Mathematics K&E (2006)

Mathematics 

Number (Number Concepts and Number Operations) 

Patterns and Relations (Patterns and Relationships)

Patterns and Relations (Variables and Equations)

Shape and Space (Measurement)

Shape and Space (3-D Objects and 2-D Shapes)

Shape and Space (Transformations) 

Statistics and Probability (Collecting and Analyzing Information) 

Demonstrate a number sense for whole numbers, common fractions, decimals and percents and apply arithmetic operations to solve problems with whole numbers, fractions, decimals and percents in everyday contexts.

Construct, extend and summarize patterns, including those found in nature and within their environments, using rules, charts, mental mathematics, calculators and other strategies/tools.

Use informal and concrete representations of equality and operations to solve problems in everyday contexts.

Use measurement concepts, appropriate tools and results of measurements to solve problems in everyday contexts.

Use visualization and symmetry to extend their awareness of objects and shapes and solve problems that involve classification and sketching. 

Describe motion in terms of slides (translation), turns (rotation) or flips (reflection) and use coordinates to describe and create 2-D shapes, including tessellations. 

Implement a plan for collecting, displaying and examining information and data gathered from appropriate sources within everyday contexts. 

use estimation strategies to estimate quantities and read and write numerals and number words to 1 000 000 

compare and order whole numbers

represent an understanding of place value to the hundredths concretely, pictorially and symbolically

recognize, model and describe multiples, factors, composites and primes to 100 concretely, pictorially and symbolically

represent and describe proper fractions, mixed numbers and equivalent fractions concretely, pictorially and symbolically

compare and order proper fractions and decimals to the hundredths 

estimate and apply arithmetic operations to whole numbers and decimals to the hundredths in everyday contexts 

estimate and apply arithmetic operations to proper fractions with like denominators concretely, pictorially and symbolically

identify decimal equivalents for commonly used fractions, such as halves, quarters and tenths

estimate and apply arithmetic operations to decimals to the hundredths concretely, pictorially and symbolically to solve problems in everyday contexts

represent and explain the meaning of percentage and the relationship between percentage and decimals concretely, pictorially and symbolically

assess the reasonableness of calculations and problem-solving strategies, using a variety of tools and/or strategies; e.g., estimation, mental mathematics, tables, graphs, calculators and/or computers

estimate and measure temperature and use conversion charts and other tools to compare Celsius and Fahrenheit, as appropriate in everyday experiences

identify common uses of positive and negative numbers, including above/below sea level and temperatures

identify and describe, in spoken or written form, patterns and relationships in nature and in everyday contexts 

represent a rule for a pattern, make predictions using the rule and extend the rule

describe everyday situations, using variables

represent and explain the meaning of preservation of equality by balancing or using models and diagrams

use pre-algebra strategies to solve equations with one unknown and with whole numbers

recognize and explain the meaning of length, width, height, depth, thickness, perimeter and circumference

estimate and use everyday metric (SI) tools and units to take accurate linear measurements; e.g., millimetre, centimetre, metre, kilometre 

estimate and use everyday imperial tools and units to take accurate linear measurements; e.g., inches, feet, yards, miles

estimate, measure and calculate the perimeters of quadrilaterals and triangles to solve problems in everyday contexts 

estimate, measure and calculate the perimeter and area of irregular shapes by dividing them into parts, using manipulatives and diagrams

demonstrate the relationships among the circumference, radius and diameter of circles

calculate and solve everyday problems that involve mass (weight) and volume (capacity), using metric and imperial units

use concrete objects to relate cm3 to mL 

use conversion charts, calculators and/or other tools to compare and convert common metric (SI) and imperial linear units, as required in everyday contexts

recognize the relationships among seconds, minutes, hours, days, weeks, months, years, centuries and millennia, using a variety of tools; e.g., calendars and technology

estimate and measure time on 12-hour and 24-hour clocks, using digital and analog timepieces

convert between hours and minutes and between minutes and seconds, as required in everyday contexts

identify, classify, describe and construct models of 3-D objects; e.g., rectangular prisms, cubes, cylinders, cones and spheres 

design and construct nets for 3-D objects 

recognize and identify, from everyday observations and experiences, points, lines, parallel lines, intersecting lines, perpendicular lines, vertical lines, horizontal lines and line segments

identify and illustrate lines of symmetry on quadrilaterals and triangles

recognize and label the quadrants on a grid

identify and plot points in the first quadrant of a coordinate grid, using ordered pairs 

reproduce a given geometric drawing on grid paper

recognize and describe motion as a slide (translation), a turn (rotation) or a flip (reflection) 

identify and describe tessellations found in the environment that are created with regular and irregular shapes

create tessellations, using regular and irregular shapes

identify appropriate information/data sources; i.e., first-hand, second-hand and combinations 

use a variety of strategies to interpret information from prepared graphs and/or charts; e.g., 

make predictions based on information and data

develop and communicate appropriate conclusions and discuss the reasonableness of data and results 

gather, organize and display information and data, using a variety of organizers/methods; e.g., journals, diagrams, charts, lists, graphs, spreadsheets, rank ordering and/or frequency charts

examine and discuss the results of simple probability experiments/experiences 

demonstrate and/or discuss that different outcomes may occur when repeating the same experiment and/or everyday activity

read axis and column subheadings and text under, beside or above

compare and examine pictures, bars, lines, symbols or markers

find trends or patterns

discuss information with classmates or others for clarification

reread to connect information in graphs and charts to surrounding and/or other information