Program of Studies: [Math 10C] [Math 10-3] [Math 10-4] [Math 20-1] [Math 20-2] [Math 20-3] [Math 20-4] [Math 30-1] [Math 30-2] [Math 30-3]

## MATHEMATICS 10-4

[C] Communication
[CN] Connections
[ME] Mental Mathematics
and Estimation

[PS] Problem Solving
[R] Reasoning
[T] Technology
[V] Visualization

### Number (Number Concepts and Number Operations)

Students will:

• estimate and solve problems involving numbers, money, decimals, percents, fractions, ratios and proportion in everyday home, workplace and community contexts, using technology as appropriate
• develop and demonstrate number sense to describe quantities, represent numbers in multiple ways and apply appropriate arithmetic operations
• assess the reasonableness of calculations and problem-solving strategies
• communicate mathematically and investigate the application of number concepts and operations in a variety of career and workplace situations, working individually or as members of a team.

General Outcome:

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

Specific Outcomes:

Students will:

1. use estimation strategies to estimate and round numbers to the nearest unit, tenth and hundredth to solve problems in everyday contexts [E, PS, R]
1. proper/improper fractions, equivalent fractions and mixed numbers concretely, pictorially and symbolically [C, CN, R, V]
1. convert among fractions, decimals and percents concretely, pictorially and symbolically to facilitate the solving of problems [C, CN, R, V]
1. represent and explain the meaning of integers in everyday contexts concretely, pictorially and symbolically [C, CN, R, V]
1. estimate and apply arithmetic operations to solve everyday problems involving:
• whole numbers
• decimals
• fractions
• mixed numbers
• percents
[CN, E, PS]
1. estimate, add and subtract integers concretely, pictorially and symbolically in everyday contexts [CN, E, PS]
1. 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 [E, R, T, V]
1. calculate and compare rates and unit prices by writing ratios that involve numbers with different units [CN, PS, R]
1. determine the value of a power, using a whole number base with exponents of 2 and 3 [CN, R, V]
1. recognize and explain numbers in scientific notation form [C, CN, R, V]

### Patterns and Relations (Patterns and Relationships)

Students will:

• recognize that patterns and relationships exist in nature and everyday living
• use patterns and relationships to develop a better understanding of their environments and to solve everyday problems at home, in the workplace and in the community, using technology as appropriate
• assess the reasonableness of calculations and problem-solving strategies
• communicate mathematically and investigate the application of patterns and relationships in a variety of career and workplace situations, working individually or as members of a team.

General Outcome:

Students will:

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.

Specific Outcomes:

Students will:

1. identify, describe and draw conclusions, in oral and written form, about patterns and relationships in nature and everyday contexts [C, CN, R, V]
1. create expressions, make predictions and develop rules to describe, complete and extend patterns and relationships in everyday contexts [C, CN, PS, R]
1. distinguish between the use of variables and constants in everyday situations [CN, R]
1. graph relationships, using everyday home, community and workplace contexts, and draw conclusions, using patterns and relationships [CN, R, V]

### Shape and Space (Measurement)

Students will:

• estimate and take accurate measurements using everyday metric (SI) and imperial units of measure
• solve problems, using appropriate measuring devices (i.e., metric [SI] and by imperial), strategies and technology in home, workplace and community contexts
• communicate mathematically and investigate the application of measurement knowledge and skills in a variety of career and workplace situations, working individually or as members of a team
• assess the reasonableness of calculations and problem-solving strategies.

General Outcome:

Students will:

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

Specific Outcomes:

Students will:

1. select and use appropriate metric (SI) and imperial measuring devices and units to take measurements in home and work-related contexts, including:
• length
• mass (weight)
• volume (capacity)
[CN, PS, R, T]
1. measure within acceptable degrees of accuracy
[CN, R]
1. compare, convert and apply metric (SI) and imperial units of measure, as appropriate in everyday contexts
[CN, R, T]
1. solve problems involving perimeter, area, mass (weight) and volume (capacity) [CN, PS, R, T]
1. 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 [CN, PS, R, T]
1. estimate the measurements of angles in a diagram and in various environments [E]
1. measure and draw angles, using a straightedge, protractor and other technology [CN, R]
1. estimate, measure and calculate the area of a circle [E, PS]
1. calculate the unknown when given the circumference, diameter and/or radius of a circle to solve everyday problems [PS, T]
1. estimate and calculate the area of a circle to solve problems in everyday contexts [E, PS]
1. estimate and apply a variety of arithmetic operations, using hours and minutes, in everyday applications
[CN, E, PS, T]
1. estimate and measure temperature and calculate changes in temperature [E, PS]

### Statistics and Probability (Collecting and Analyzing Information)

Students will:

• collect, generate, interpret, examine and maintain data, charts, graphs and other records for personal use at home, in the workplace and in the community, using technology as appropriate
• use probability, chance and predictions when planning and making everyday decisions
• access the reasonableness of calculations and problem-solving strategies
• communicate mathematically and investigate, collect and examine information in a variety of career and workplace situations, working individually or as members of a team.

General Outcome:

Students will:

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

Specific Outcomes:

Students will:

1. predict, interpret, make comparisons and communicate information from graphs, tables, charts and other sources at home and in the workplace [CN, R]
1. recognize the uses of data and data collection and display tools in everyday and work-related situations [CN, R]
1. record information and organize files and directories, using computers and/or other tools
[CN, PS, R, T]
1. examine a plan for collecting and processing information and modify it as appropriate for everyday situations [CN, PS, R]

Note: pp. 1 and 3 of Mathematics 8–9 and 10-4, 20-4 – revised 2009 - NOT AVAILABLE September 20, 2010 at: http://www.education.alberta.ca/teachers/program/know/programs.aspx

Authorized Resources Grades 8 - 12: http://www.education.alberta.ca/media/526015/math_list.pdf