Line A passes through (0, 2) and (6, 10) Line B passes through

Slides:



Advertisements
Similar presentations
To be able to count on or back in equal steps including beyond zero.
Advertisements

Identifying Similar TrianglesProjector Resources Identifying Similar Triangles Projector Resources.
Parallel Lines & Transversals
3.4d- Relationship between 2D and 3D objects CCSS.
Proportional ReasoningProjector Resources Proportional Reasoning Projector Resources.
2D Representations of 3D ObjectsProjector Resources 2D Representations of 3D Objects Projector Resources.
Warm Up See the person on the side board for pencils. Get your journal out. Get with your partner from yesterday. Continue working on your review.
Possible Triangle ConstructionsProjector Resources Possible Triangle Constructions Projector Resources.
Triangles and Lines – Sum of the Angles in a Triangle The sum of the angles in any triangle = 180°
Do Now Complete 3, 2, 1 3 things you learned about linear functions 2 things you would like to know more about 1 thing you still have a questions about.
In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES.
4.4 What Information Do I need? Pg. 14 Conditions for Triangle Similarity.
Year 9 Geometrical Reasoning Alternate Angles on Parallel Lines.
Minimum Measurement Congruent Triangles In addition to 3, student is able to teach others how to apply properties of transformations. Apply properties.
Solving Linear Equations in One VariableProjector Resources Solving Linear Equations in One Variable Projector Resources.
LEARNING TARGET Tuesday 5/27 – Complete a Frequency Chart.
© 2011 MARS University of NottinghamBeta Version Projector resources: Sorting Equations and Identities Projector Resources.
Today you will need: Materials: A pencil Your math journal Ten frame practice sheet (optional) Materials: A pencil Your math journal Ten frame practice.
© 2012 MARS University of NottinghamAlpha Version January 2012 Projector Resources: Analyzing Congruency Proofs Projector Resources.
Every Angle MAKING LINKS: REASONING WITH LINES AND ANGLES.
An introduction to logical reasoning: Sudoku. Today we are learning about: Logical reasoning ●I can use logical reasoning to solve a problem.
How can we describe a line with one number?
Describing and Defining QuadrilateralsProjector Resources Describing and Defining Quadrilaterals Projector Resources.
Vertices Line Segments Angles Warm-Up Using the picture of the two quadrilaterals (ABCD and PQRS) below and the cut-out of quadrilateral PQRS, determine.
Representing 3D Objects in 2DProjector resources Representing 3D Objects in 2D Projector Resources.
Transforming 2D FiguresProjector Resources Transforming 2D Figures Projector Resources.
Evaluating Conditions for CongruencyProjector Resources Evaluating Conditions for Congruency Projector Resources.
Defining Lines by Points, Slopes and EquationsProjector resources Defining Lines by Points, Slopes and Equations Projector Resources.
The Angles in a Triangle Take a piece of card board Cut a triangle – making sure all 3 lines are straight Mark each angle with a DOT Cut the three angles.
Are these Mathematically Similar?
Evaluating Conditions for Congruency
Classifying Rational and Irrational Numbers
Interpreting Equations
Representing Variability with Mean, Median, Mode, and Range
Representing Data with Frequency Graphs
Evaluating Statements about Radicals
Describing and Defining Triangles
Representing Data with Grouped Frequency Graphs and Box Plots
4th Grade ICAP Academic Planning Understanding your Report Card
Increasing and Decreasing Quantities by a Percent
Comparing Lines and Linear Equations
Using Proportional Reasoning
عناصر المثلثات المتشابهة Parts of Similar Triangles
Converting between fractions, decimals and percentages.
Homework Due Thursday- Comprehensive Test Friday
Computer Games: Ratings
Test study Guide/Breakdown
Quiz.
Classifying Rational and Irrational Numbers
Representing the Laws of Arithmetic
Interpreting Equations
Applying Properties of Exponents
Representing Data with Box Plots
Converting between fractions, decimals and percentages.
2D Representations of 3D Objects
Representing Quadratic Functions Graphically
Sorting Equations and Identites
Similar and Congruent Triangles
All About Shapes! Let’s Go!.
ANGLES ON A STRAIGHT LINE ADD UP TO 180°
Possible Triangle Constructions
Manipulating Polynomials
14 a-Equations of Circles 1
Lines and Linear Equations
Learning Target: Rules of Exponents
Learning Target: Rules of Exponents
Applying Properties of Exponents
The Super 9 – Angles GOOD – calculate the missing angles
Fractions, Decimals and Percents
Representing Data Using Frequency Graphs
Presentation transcript:

Line A passes through (0, 2) and (6, 10) Line B passes through Are the lines the same? Do these two cards describe the same straight line? How can you tell? Line A passes through (0, 2) and (6, 10) Line B passes through (6, 10) and (10, 16)

Let’s plot them! Are the lines the same? If we plot the points they look like they might be the same straight line …. But looks can be deceptive. How can we be sure?

Let’s plot them! Are the lines the same? Here are some construction lines that might help you decide.

Are these triangles similar? Are the lines the same? Are the angles marked “a” all equal?

Working Together Are the lines the same? Look for pairs of cards that describe the same line. Some of the cards have information missing. You will need to work out the missing information once you have matched the card. Before writing anything down, describe your reasoning to your partner. Your partner must challenge your explanation if they disagree, or describe it in their own words if they agree. Once agreed, glue the pair of cards onto the poster and write your reasoning in pencil next to it. Work together until all the cards are placed.

Cards A and G Are the lines the same? How can we tell that these are the same line?

Cards B and K Are the lines the same? How can we tell that these are the same line?

Cards C and H How can we tell that these are the same line?

Cards D and J Are the lines the same? How can we tell that these are the same line?

Cards E and I Are the lines the same? How can we tell that these are the same line?

Cards F and L Are the lines the same? L doesn’t have enough information to define a line. If they are the same line, what must this information be?