Khaemenes Academy · Open-Age Mathematics

Unit 13 Foundation Practice

Guided review with smaller steps and reference formulas.

Directions: Show exact work before decimals, label domains or intervals, and explain calculator use.

1. {'id': 'u13-l01', 'number': 1, 'title': 'Defining a Researchable Modelling Question', 'family': 'modeling', 'week': 35, 'unit': 13, 'unit_title': 'Advanced Modelling Capstone & Comprehensive Synthesis', 'essential': 'How can a learner select, build, validate, communicate, and defend a multi-representation mathematical model?', 'project': 'Precalculus Modelling Exploration & Oral Defense'}

Name the response variable in a model predicting height from age.

2. {'id': 'u13-l01', 'number': 1, 'title': 'Defining a Researchable Modelling Question', 'family': 'modeling', 'week': 35, 'unit': 13, 'unit_title': 'Advanced Modelling Capstone & Comprehensive Synthesis', 'essential': 'How can a learner select, build, validate, communicate, and defend a multi-representation mathematical model?', 'project': 'Precalculus Modelling Exploration & Oral Defense'}

What does a positive residual mean?

3. {'id': 'u13-l01', 'number': 1, 'title': 'Defining a Researchable Modelling Question', 'family': 'modeling', 'week': 35, 'unit': 13, 'unit_title': 'Advanced Modelling Capstone & Comprehensive Synthesis', 'essential': 'How can a learner select, build, validate, communicate, and defend a multi-representation mathematical model?', 'project': 'Precalculus Modelling Exploration & Oral Defense'}

Why document assumptions?

4. {'id': 'u13-l01', 'number': 1, 'title': 'Defining a Researchable Modelling Question', 'family': 'modeling', 'week': 35, 'unit': 13, 'unit_title': 'Advanced Modelling Capstone & Comprehensive Synthesis', 'essential': 'How can a learner select, build, validate, communicate, and defend a multi-representation mathematical model?', 'project': 'Precalculus Modelling Exploration & Oral Defense'}

What is interpolation?

5. {'id': 'u13-l01', 'number': 1, 'title': 'Defining a Researchable Modelling Question', 'family': 'modeling', 'week': 35, 'unit': 13, 'unit_title': 'Advanced Modelling Capstone & Comprehensive Synthesis', 'essential': 'How can a learner select, build, validate, communicate, and defend a multi-representation mathematical model?', 'project': 'Precalculus Modelling Exploration & Oral Defense'}

What is extrapolation?

6. {'id': 'u13-l01', 'number': 1, 'title': 'Defining a Researchable Modelling Question', 'family': 'modeling', 'week': 35, 'unit': 13, 'unit_title': 'Advanced Modelling Capstone & Comprehensive Synthesis', 'essential': 'How can a learner select, build, validate, communicate, and defend a multi-representation mathematical model?', 'project': 'Precalculus Modelling Exploration & Oral Defense'}

What should a model defense include?

7. {'id': 'u13-l02', 'number': 2, 'title': 'Selecting Variables, Assumptions & Function Families', 'family': 'modeling', 'week': 35, 'unit': 13, 'unit_title': 'Advanced Modelling Capstone & Comprehensive Synthesis', 'essential': 'How can a learner select, build, validate, communicate, and defend a multi-representation mathematical model?', 'project': 'Precalculus Modelling Exploration & Oral Defense'}

Name the response variable in a model predicting height from age.

8. {'id': 'u13-l02', 'number': 2, 'title': 'Selecting Variables, Assumptions & Function Families', 'family': 'modeling', 'week': 35, 'unit': 13, 'unit_title': 'Advanced Modelling Capstone & Comprehensive Synthesis', 'essential': 'How can a learner select, build, validate, communicate, and defend a multi-representation mathematical model?', 'project': 'Precalculus Modelling Exploration & Oral Defense'}

What does a positive residual mean?

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