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# Mathematics

## Core Competencies

### Big Ideas

### Grandes idées

Number <ul><li>Number: Number represents and describes quantity.</li><li><em>Sample questions to support inquiry with students:</em><ul><li>How can two quantities be compared, represented, and communicated?</li><li>How are decimals, fractions, ratios, and percents interrelated?</li><li>How does ratio use in mechanics differ from ratio use in architecture?</li></ul></li></ul> represents, describes, and compares the quantities of ratios, rates, and percents.

Computational fluency <ul><li>Computational Fluency: Computational fluency develops from a strong sense of number.</li><li><em>Sample questions to support inquiry with students:</em><ul><li>When we are working with fractions, what is the relationship between addition and subtraction?</li><li>When we are working with fractions, what is the relationship between multiplication and division?</li><li>When we are working with fractions, what is the relationship between addition and multiplication?</li><li>When we are working with fractions, what is the relationship between subtraction and division?</li></ul></li></ul> and flexibility extend to operations with fractions.

Discrete linear relationships <ul><li>Patterning: We use patterns to represent identified regularities and to make generalizations.</li><li><em>Sample questions to support inquiry with students:</em><ul><li>What is a discrete linear relationship?</li><li>How can discrete linear relationships be represented?</li><li>What factors can change a discrete linear relationship?</li></ul></li></ul> can be represented in many connected ways and used to identify and

make generalizations.

The relationship between surface area and volume of 3D objects <ul><li>Geometry and Measurement: We can describe, measure, and compare spatial relationships.</li><li><em>Sample questions to support inquiry with students:</em><ul><li>What is the relationship between the surface area and volume of regular solids?</li><li>How can surface area and volume of regular solids be determined?</li><li>How are the surface area and volume of regular solids related?</li><li>How does surface area compare with volume in patterning and cubes?</li></ul></li></ul> can be used to describe, measure, and compare spatial relationships.

Analyzing data <ul><li>Data and Probability: Analyzing data and chance enables us to compare and interpret.</li><li><em>Sample questions to support inquiry with students:</em><ul><li>How does determining averages help us understand large data sets?</li><li>What do central tendencies represent?</li><li>How are central tendencies best used to describe a quality of a large data set?</li></ul></li></ul> by determining averages is one way to make sense of large data sets and enables us to compare and interpret.

## Learning Standards

### Curricular Competencies

*Students are expected to be able to do the following:*### Reasoning and analyzing

### Understanding and solving

### Communicating and representing

### Connecting and reflecting

### Content

*Students are expected to know the following:***Note:**Some of the learning standards in the PHE curriculum address topics that some students and their parents or guardians may feel more comfortable addressing at home. Refer to ministry policy regarding opting for alternative delivery.