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 20-4

[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:
solve everyday home, community and workplace problems by applying arithmetic operations to whole numbers, decimals, common fractions, percents and integers.

Specific Outcomes:

Students will:

1. use estimation strategies to estimate and apply arithmetic operations to solve everyday problems involving:
• whole numbers
• integers (add/subtract only)
• decimals
• fractions
• mixed numbers
• percents
[CN, E, PS, R]
1. estimate and round numbers and decimals, e.g., money, to the nearest unit, tenth and hundredth to solve problems in everyday contexts [E, PS, R]
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. identify and use appropriate tools, e.g., tables, charts, spreadsheets and calculators, to increase accuracy in everyday and/or work-related problem-solving situations [CN, PS, R, T]
1. create, use and modify a spreadsheet template for a variety of everyday contexts, including the determination of interest rates, vehicle payments, investments or budgets [CN, PS, R, T]
1. use a variety of methods and tools to convert fractional percents to decimal forms [CN, PS, R]
1. express rates and ratios in equivalent forms to solve problems in everyday contexts [PS, R, T]
1. estimate unit costs and compare costs of everyday purchases [CN, E, PS, R]

### 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. use relationships and patterns to summarize, generalize and predict when solving problems and making decisions in everyday and work-related contexts [CN, PS, R]
1. generalize patterns arising from everyday problem-solving contexts, using mathematical expressions and equations and/or verifying by substitution [CN, PS, R]

### 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. use appropriate metric (SI) and imperial measuring strategies, tools and units to measure:
• length
• volume (capacity)
• mass (weight)
• angles
• time
• temperature
1. measure within acceptable degrees of accuracy, as required in everyday and work-related situations [CN, PS, R, T]
1. calculate elapsed time in everyday contexts
[CN, R]
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
[R, T]

1. investigate the types and uses of measuring tools and units within the community and workplace
[C, V]

### 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. use information and data from a variety of sources to make comparisons, predictions, inferences, conclusions and/or decisions in everyday situations [CN, E, PS, R]
1. ecord and organize information and data as appropriate in everyday and work-related situations [CN, R]
1. use probability and statistics to predict upcoming events and to make decisions in everyday life
[CN, E, 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