# MFM1P Grade 9 Applied Math Help

Welcome Teachers and Students! This MFM1P Grade 9 Applied Math Help Resource has been compiled to assist in closing the gap that exists between academic and applied student achievement in the province of Ontario. All resources include math tasks, solutions, videos, practice links and more to ensure every student can achieve at the highest level in their Ontario grade 9 applied math course. If you have resources you would be willing to share, please contact me so I can add it to the database. I hope you find these resources useful!

Many of these resources were modified from the TIPS4RM resource by great math teachers and friends, Dave Bracken and Michael Smith with further additions and modifications by Kyle Pearce.

## 8.1 – Angle Relationships in Triangles and Parallel Lines

Unit 8 - Geometric Relationships

### MFM1P Specific Expectations

MG3.02 - – determine, through investigation using a variety of tools (e.g., dynamic geometry software, concrete materials), and describe the properties and relationships of the angles formed by parallel lines cut by a transversal, and apply the results to problems involving parallel lines (e.g., given a diagram of a rectangular gate with a supporting diagonal beam, and given the measure of one angle in the diagram, use the angle properties of triangles and parallel lines to determine the measures of the other angles in the diagram);

## 7.7 – Powers With Variable Bases

Unit 7 - Algebraic Models - Making Connections

### MFM1P Specific Expectations

NA2.06 - – multiply a polynomial by a monomial involving the same variable to give results up to degree three [e.g., (2x)(3x), 2x(x + 3)], using a variety of tools (e.g., algebra tiles, drawings, computer algebra systems, paper and pencil);

## 7.6 – Problem Solving With Patterns

Unit 7 - Algebraic Models - Making Connections

### MFM1P Specific Expectations

LR4.04 - – solve problems that can be modelled with first-degree equations, and compare the algebraic method to other solution methods (e.g., graphing) (Sample problem: Bill noticed it snowing and measured that 5 cm of snow had already fallen. During the next hour, an additional 1.5 cm of snow fell. If it continues to snow at this rate, how many more hours will it take until a total of 12.5 cm of snow has accumulated?);

## 7.5 – The Distributive Property

Unit 7 - Algebraic Models - Making Connections

### MFM1P Specific Expectations

NA2.06 - – multiply a polynomial by a monomial involving the same variable to give results up to degree three [e.g., (2x)(3x), 2x(x + 3)], using a variety of tools (e.g., algebra tiles, drawings, computer algebra systems, paper and pencil);

## 7.4 – Simplifying Polynomials and Like Terms

Unit 7 - Algebraic Models - Making Connections

### MFM1P Specific Expectations

NA2.05 - – add and subtract polynomials involving the same variable up to degree three [e.g., (2x + 1) + (x2 – 3x + 4)], using a variety of tools (e.g., algebra tiles, computer algebra systems, paper and pencil);

## 7.3 – More Linear and Non-Linear Patterning

Unit 7 - Algebraic Models - Making Connections

### MFM1P Specific Expectations

LR2.02 - – construct tables of values, scatter plots, and lines or curves of best fit as appropriate, using a variety of tools (e.g., spreadsheets, graphing software, graphing calculators, paper and pencil), for linearly related and non-linearly related data collected from a variety of sources (e.g., experiments, electronic secondary sources, patterning with concrete materials) (Sample problem: Collect data, using concrete materials or dynamic geometry software, and construct a table of values, a scatter plot, and a line or curve of best fit to represent the following relationships: the volume and the height for a square-based prism with a fixed base; the volume and the side length of the base for a square-based prism with a fixed height.);

## 7.2 – Patterning

Unit 7 - Algebraic Models - Making Connections

### MFM1P Specific Expectations

LR2.02 - – construct tables of values, scatter plots, and lines or curves of best fit as appropriate, using a variety of tools (e.g., spreadsheets, graphing software, graphing calculators, paper and pencil), for linearly related and non-linearly related data collected from a variety of sources (e.g., experiments, electronic secondary sources, patterning with concrete materials) (Sample problem: Collect data, using concrete materials or dynamic geometry software, and construct a table of values, a scatter plot, and a line or curve of best fit to represent the following relationships: the volume and the height for a square-based prism with a fixed base; the volume and the side length of the base for a square-based prism with a fixed height.);

## 7.1 – Linear and Non-Linear Investigations

Unit 7 - Algebraic Models - Making Connections

### MFM1P Specific Expectations

LR2.02 - – construct tables of values, scatter plots, and lines or curves of best fit as appropriate, using a variety of tools (e.g., spreadsheets, graphing software, graphing calculators, paper and pencil), for linearly related and non-linearly related data collected from a variety of sources (e.g., experiments, electronic secondary sources, patterning with concrete materials) (Sample problem: Collect data, using concrete materials or dynamic geometry software, and construct a table of values, a scatter plot, and a line or curve of best fit to represent the following relationships: the volume and the height for a square-based prism with a fixed base; the volume and the side length of the base for a square-based prism with a fixed height.);

## 6.8 – Multiple Representations of Linear Relations Review

Unit 6 - Multiple Representations of Linear Relationships

### MFM1P Specific Expectations

LR4.03 - – determine other representations of a linear relation arising from a realistic situation, given one representation (e.g., given a numeric model, determine a graphical model and an algebraic model; given a graph, determine some points on the graph and determine an algebraic model);

## 6.7 – Solving Linear Systems of Equations Graphically

Unit 6 - Multiple Representations of Linear Relationships

### MFM1P Specific Expectations

LR4.06 - – determine graphically the point of intersection of two linear relations, and interpret the intersection point in the context of an application (Sample problem: A video rental company has two monthly plans. Plan A charges a flat fee of \$30 for unlimited rentals; Plan B charges \$9, plus \$3 per video. Use a graphical model to determine the conditions under which you should choose Plan A or Plan B.);

## Course Description - Grade 9 Applied Math

This course enables students to develop an understanding of mathematical concepts related to introductory algebra, proportional reasoning, and measurement and geometry through investigation, the effective use of technology, and hands-on activities. Students will investigate real-life examples to develop various representations of linear relations, and will determine the connections between the representations. They will also explore certain relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

## MFM1P Grade 9 Applied Foundations of Mathematics

### Strands and Overall Expectations

Follow links to access Dan Meyer-style 3 Act Math Tasks related to that MFM1P Overall Expectation. Number Sense and Algebra
Linear Relations
Measurement and Geometry