Grade 10 - Mathematics 10-4 (2006)

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 and Transformations)

Statistics and Probability (Collecting and Analyzing Information) 

Develop and demonstrate a number sense for whole numbers, common fractions, decimals, percents and integers and apply arithmetic operations to solve everyday problems. 

use estimation strategies to estimate and round numbers to the nearest unit, tenth and hundredth to solve problems in everyday contexts 

represent and describe the relationships between proper/improper fractions, equivalent fractions and mixed numbers concretely, pictorially and symbolically

convert among fractions, decimals and percents concretely, pictorially and symbolically to facilitate the solving of problems

represent and explain the meaning of integers in everyday contexts concretely, pictorially and symbolically

estimate and apply arithmetic operations to solve everyday problems, using:

estimate, add and subtract integers concretely, pictorially and symbolically in everyday contexts 

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

calculate and compare rates and unit prices by writing ratios that involve numbers with different units

determine the value of a power, using a whole number base with exponents of 2 and 3 

recognize and explain numbers in scientific notation form

Express and use patterns, variables and expressions, including those used in business and industry, with graphs to solve problems at home, in the community and in the workplace.

identify, describe and draw conclusions about patterns and relationships, in oral and written form, in nature and everyday contexts 

create expressions, make predictions and develop rules to describe, complete and extend patterns and relationships in everyday contexts 

distinguish between the use of variables and constants in everyday situations

graph relationships using everyday home, community and workplace contexts and draw conclusions using patterns and relationships

Use variables and equations to express, summarize and apply relationships as problem-solving tools in a restricted range of contexts.

use variables, formulas and/or substitutions to solve problems in practical situations 

substitute numbers for variables in expressions and graph and examine the relationship

Estimate, measure and compare using whole numbers, decimals, fractions and metric (SI) and Imperial units of measure to solve everyday problems.

select and use appropriate metric (SI) and Imperial measuring devices and units to take measurements in home and work-related contexts, including: 

measure within acceptable degrees of accuracy 

compare, convert and apply metric (SI) and Imperial units of measure, as appropriate in everyday contexts 

solve problems involving perimeter, area, mass (weight) and volume (capacity) 

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

estimate the measurements of angles in a diagram and in various environments 

measure and draw angles using a straight edge, protractor and other technology

estimate, measure and calculate the area of a circle 

calculate the unknown when given the circumference, diameter and/or radii of a circle to solve everyday problems

estimate and calculate the area of a circle to solve problems in everyday contexts

estimate and apply a variety of arithmetic operations, using hours and minutes, in everyday applications

estimate and measure temperature and calculate changes in temperature

use visualization and symmetry to: i) extend their awareness of objects and shapes and ii) create and examine patterns and designs using congruence, symmetry, translation, rotation and reflection.

measure and classify pairs of angles as either complementary or supplementary 

represent, examine and describe enlargements and reductions 

interpret scale models and identify the geometric properties associated with figures and shapes used in representations

reproduce drawings or objects to scale, using a variety of strategies; e.g., grid paper, dot paper and/or computer software

draw designs, using ordered pairs, in all four quadrants of a coordinate grid, with translation and reflection images

develop and implement a plan for the collection, display and examination of data and information, using technology and other strategies as required.

predict, interpret, make comparisons and communicate information from graphs, tables, charts and other sources at home and in the workplace

recognize the uses of data and data collection and display tools in life- and work-related situations 

record information and organize files and directories, using computers and/or other tools 

examine a plan for collecting and processing information and modify as appropriate for everyday situations

whole numbers 

decimals 

fractions 

mixed numbers

percents

length 

mass (weight) 

volume (capacity)