Unit of Study:
Unit 2 - Measurement and OptimizationMFM1P Specific Expectations
The math help provided for MFM1P Grade 9 Applied will address the following specific expectations:MG1.03 - Solve problems that require maximizing the area of a rectangle for a fixed perimeter or minimizing the perimeter of a rectangle for a fixed area (Sample problem:You have 100 m of fence to enclose a rectangular area to be used for a snow sculpture competition. One side of the area is bounded by the school, so the fence is required for only three sides of the rectangle. Determine the dimensions of the maximum area that can be enclosed.).
MFM1P Overall Expectations
The math help provided for MFM1P Grade 9 Applied will address the following overall expectations:MG1 - Determine, through investigation, the optimal values of various measurements of rectangles.
MFM1P Math Task Template
Check out this Math Task Template to get some practice in 2.2 – Maximizing Area With 4-Sides of the grade 9 applied math course.
MFM1P Math Videos Related To This Topic
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I’m Kyle Pearce and I am a former high school math teacher. I’m now the K-12 Mathematics Consultant with the Greater Essex County District School Board, where I uncover creative ways to spark curiosity and fuel sense making in mathematics. Read more.
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Unit 0 - IntroductionUnit 1 - Measurement 2D and 3DUnit 2 - Measurement and OptimizationUnit 3 - Exploring Relationships - Lines and Curves of Best FitUnit 4 - Proportional ReasoningUnit 5 - Linear RelationsUnit 6 - Multiple Representations of Linear RelationshipsUnit 7 - Algebraic Models - Making ConnectionsUnit 8 - Geometric Relationships
Angle Relationships
Angles of Parallel Lines With Transversal
Area
Creating Equations
Data Management
Direct and Partial Variation
Distance-Time Graphs
Distributive Property
Exterior Angles of a Triangle
Extrapolation
First Differences
Geometric Relationships
Graphical Stories
Graphing Linear Relations
Graphing With Rise Over Run
Initial Value
Interior Angles of a Triangle
Interpolation
Interpreting Graphs
Interpreting Linear Equations
Investigations
Linear Equations
Linear Relations
Linear Relationships
Lines of Best Fit
Maximizing Area
Measurement
Minimizing Perimeter
Modelling With Equations
Non-Linear Relations
Optimization
Patterning
Percentages
Perimeter
Point of Intersection
Powers and Exponents
Predictions
Problem Solving
Proportional Reasoning
Pythagorean Theorem
Rate of Change
Ratios and Rates
Relationships
Representations of a Linear Relation
Representations of Linear Relationships
Rise Over Run
Scatter Plots
Simplifying Like Terms
Simplifying Polynomials
Slope of a Line
Solving Equations
Solving Linear Systems
Solving Proportions
Substitute Into Equations
Triangles
Unit Rates
Volume
Angles of Parallel Lines With Transversal
Area
Creating Equations
Data Management
Direct and Partial Variation
Distance-Time Graphs
Distributive Property
Exterior Angles of a Triangle
Extrapolation
First Differences
Geometric Relationships
Graphical Stories
Graphing Linear Relations
Graphing With Rise Over Run
Initial Value
Interior Angles of a Triangle
Interpolation
Interpreting Graphs
Interpreting Linear Equations
Investigations
Linear Equations
Linear Relations
Linear Relationships
Lines of Best Fit
Maximizing Area
Measurement
Minimizing Perimeter
Modelling With Equations
Non-Linear Relations
Optimization
Patterning
Percentages
Perimeter
Point of Intersection
Powers and Exponents
Predictions
Problem Solving
Proportional Reasoning
Pythagorean Theorem
Rate of Change
Ratios and Rates
Relationships
Representations of a Linear Relation
Representations of Linear Relationships
Rise Over Run
Scatter Plots
Simplifying Like Terms
Simplifying Polynomials
Slope of a Line
Solving Equations
Solving Linear Systems
Solving Proportions
Substitute Into Equations
Triangles
Unit Rates
Volume