When you find an activity we will post it according to coded expectation in one of the three strands for the course.

Strand: Quadratic Relations of the form y=ax^2 + bx + c

Expectation

Description

Files/Web Link

QR1.01

In this activity, students' will use a motion detector to measure how the position of a cart on a ramp changes with time. They will then determine a parabolic model for the position data using the intercepts.

This is a sample problem of a motorcycle jump, the angle of the ramp can be adjusted to explore maximum height, as well as, horizontal distance (ie. x-intercepts).

This document is designed to either introduce or review how to use "completing the square" to rewrite an equation of a parabola from standard form into vertex form.
Standard form: y = a*x^(2) + b*x + c.
Vertex form: y = a*(x - h)^(2) + v.

In this activity, students will move a quadratic function in the coordinate plane to specific points to observe how the vertex form of the equation changes.

Students are introduced to modeling vertical motion data through an investigation of ball being tossed into the air. Students use multiple representations to explore aspects of the quadratic equation that models the data.

Beach Ball Toss
Students are introduced to modeling vertical motion data through an investigation of ball being tossed into the air. Students use multiple representations to explore aspects of the quadratic equation that models the data.

Students will discover, through exploration,
that the shortest distance from a point on
a line to the origin is a measure of a
perpendicular line segment. ( Note: angles are measured in rad and not degrees)

Students will explore properties of line segments using an angle bisector and the relationship that occurs (mid-point of the opposite side) when they determine the length.

In this activity, students will make observations about the motion of a boat going up and down the river. They will be instructed to solve the system of equations algebraically and graphically. Minimized slider bars allow students to explore the slope of a distance-time graph. Additional problems are provided for further practice.

In this activity, students will classify quadrilaterals graphed on the Cartesian coordinate plane. Students will justify their classifications with segment and angle measurements as well as slope measurements. A review of the hierarchy of quadrilaterals is at the beginning of the document.

In this activity, students will explore distances in the coordinate plane. After displaying the coordinates of a segmentâ€™s endpoints, students will substitute these values into the distance formula and compare the results to the measured length of the segment. Then students will find the distance between the endpoints using the Pythagorean Theorem.

Sine. It's the Law!
In this activity, students will explore the Law of Sines. Students will derive the formula through exploration and solve some application problems. As an extension, students will prove the Law of Sines through guided questions.

Both the famous Laws of Sines and Cosines are used extensively in surveying, navigation, and other situations that require triangulation of non-right triangles. Students will explore the proofs of the Laws, investigate various cases where they are utilized, and apply them to solve problems.

Nspire Resources for MPM2D (Grade 10 Academic Mathematics)This page contains resources aligned with the curriculum expectations for this course

## Activity Search Starting Points:

(Click on Standards Search on Right)

When you find an activity we will post it according to coded expectation in one of the three strands for the course.

## Strand: Quadratic Relations of the form y=ax^2 + bx + c

ExpectationDescriptionFiles/Web LinkStandard form: y = a*x^(2) + b*x + c.

Vertex form: y = a*(x - h)^(2) + v.

QR4.02

Students are introduced to modeling vertical motion data through an investigation of ball being tossed into the air. Students use multiple representations to explore aspects of the quadratic equation that models the data.

## Strand: Analytic Geometry

ExpectationDescriptionFiles/Web Linkthat the shortest distance from a point on

a line to the origin is a measure of a

perpendicular line segment. (

Note: angles are measured in rad and not degrees)AG2.05

http://education.ti.com/educationportal/activityexchange/Activity.do?cid=US&aId=11298

Students understand what it means for an ordered pair of numbers to be a solution to a linear equation.

## Strand: Trigonometry

TR2.01

TR1.02

(The first activity is more of an introduction

The second activity is more in-depth)

Activity 2: http://www.timath.com/geometry/569

In this activity, students will explore the Law of Sines. Students will derive the formula through exploration and solve some application problems. As an extension, students will prove the Law of Sines through guided questions.

http://education.ti.com/educationportal/activityexchange/Activity.do?cid=US&aId=9849

TR2.02

Identify the effects of changing the sides and angles on the sine, cosine, and tangent ratios.

Last updated on December 1, 2009