Using problem solving strategies will help me solve a real world problem.

Slides:



Advertisements
Similar presentations
13-Jun-14Compiled by Mr. Lafferty Maths Dept. Pythagoras Theorem Finding the length of the smaller side Length of line using Pythagoras.
Advertisements

Pythagoras Bingo. Pick 8 from the list C no 16124yes Pythagorean triple Hypotenuse Pythagoras theorem.
Square Numbers To SQUARE a number means to multiply it by itself For example the square of 7 is 7  7 = 49 We shorten this to 7 2 = 7  7 = 49 We read.
5-May-15 Exact Values Angles greater than 90 o Trigonometry Useful Notation & Area of a triangle Using Area of Triangle Formula Cosine Rule Problems Sine.
MTH 112 Elementary Functions Chapter 5 The Trigonometric Functions Section 2 – Applications of Right Triangles.
Bearings.
SOLUTION EXAMPLE 4 Standardized Test Practice Use the Distance Formula. You may find it helpful to draw a diagram.
Starter 3 cm 4 cm 5 cm Find the areas of the squares 5 minutes.
Bell Ringer What is the 25th term in the sequence 2, 5, 8, 11, …, 3n-1,… Solve 2. 5x = x - 6 = x = -12 The area of a square.
Triangle abc a²a² b²b² c²c² Blue* Green Orange* Pink Purple* White* Yellow*
Pythagorean Theorem A triangle is a right triangle if and only if the sum of the squares of the lengths of the legs equals the square of the length of.
Step 1: Square Longest side Step 2: Add Step 3: Square Root Step 1: Square Shorter side Step 2: Subtract Step 3: Square Root 7cm 9cm x 4cm 8cm x 12cm 7cm.
Adding Vectors on the Same Line When two vectors are in the same direction it is easy to add them. Place them head to tail and simply measure the total.
A b c
This is a right triangle: We call it a right triangle because it contains a right angle.
Lesson 9-3 Example Solve. GEOMETRY The perimeter of a trapezoid is the sum of the length of its sides. One side length is 16 inches. One side length.
PYTHAGORAS Aim: To be able to know Pythagoras’ Theorem All: Will be able to recall theorem. Most: Will be able to use to find the length of hypotenuse.
Teach A Level Maths IntroducingIntroducing MechanicsMechanics.
EXAMPLE 3 Find possible side lengths ALGEBRA
EXAMPLE 3 Find possible side lengths ALGEBRA A triangle has one side of length 12 and another of length 8. Describe the possible lengths of the third side.
Starter Write down a definition of the hypotenuse
The Pythagorean Theorem A tool for right triangle problems.
Chapter 5 Unit Question How do we solve applications of equations in algebra?
 Only works in right angled triangles  Nothing to do with angles.
M May Pythagoras’ Theorem The square on the hypotenuse equals the sum of the squares on the other two sides.
Trigonometry – Right Angled Triangles By the end of this lesson you will be able to identify and calculate the following: 1. Who was Pythagoras 2. What.
Chapter 3 – Solving Linear Equations 3.5 – Linear Equations and Problem Solving.
Trigonometry Sine Rule Finding a length Sine Rule Finding an Angle
The Five Step Plan!!! ~ Jack Matasker. 1. Read and Think 2. Select a Strategy 3. Solve 4. Write or Explain 5. Reflect.
Pythagorean Theorem What’s the Angle?. A Little Story Time...
ZONK! Pythagorean Theorem Review 8.G.6, 8.G.7, 8.G.8.
Scalar and vector quantities 1 Starter Put a cross in the centre of your graph paper (landscape)and draw the following movement: (1 pace = 1 cm) From.
Do Now: This is a diagnostic assessment. If you don’t know the answers, write down the question for full credit.  Write the direction and magnitude of.
Day 5: More Practice Unit 7: Quadratic Word Problems.
Pythagoras Theorem Example For each of the following right angled triangles find the length of the lettered side, giving your answers to 2 decimal places.
Summary of Chapter 2 (so far). Parallel lines  y = mx + c y = mx + d Perpendicular lines  y = mx + cy = nx + dm x n = -1 Length of a line using Pythagoras’
The Pythagorean Theorem The Ladder Problem. Right Triangles Longest side is the hypotenuse, side c (opposite the 90 o angle) The other two sides are the.
Cambridge University Press  G K Powers Similarity and right-angled triangles Study guide 1.

Each group starts with £50 Each round, you must decide which question you will answer (£10, £15 or £20) – the higher the stake, the harder the question.
s.html Year 9 Mathematics Pythagoras Theorem.
Using the Sine, Cosine and Tangent Rules Objective: To relate the sine, cosine and tangent functions with the sides of a triangle to create rules. Use.
Compiled by Mr. Lafferty Maths Dept.
Multiplication Strategies
Pythagoras’ Theorem and Trigonometry
Learning Journey – Pythagoras’ Theorem and Trigonometry
Starter Jane is 40. Chris is 10. Chris is ¼ of Jane’s age.
Recapping: Finding the hypotenuse of a right-angled triangle.
Section 4.7 Forming Functions from Verbal Descriptions
List all possible rational zeros given by the rational zeros theorem (but don't check to see which actually are zeros). {image} Choose the answer.
Pythagorean Theorem.
A percent, a whole, and a part
Using Pythagoras’ Theorem
Bellwork (block 2) Textbook pg 415 (ALL)
Trigonometry Math 10 Ms. Albarico.
C. Vectors and Bearings Students are expected to:
You will be given the answer. You must give the correct question.
Using Pythagoras’ Theorem
Solving One-Step Equations
Created by Mr.Lafferty Maths Dept
Pythagoras Theorem Example
Solve the equation: 6 x - 2 = 7 x + 7 Select the correct answer.
Sine and Cosine Rule s.small.
Applying Pythagorean Theorem
20. Pythagoras’ theorem and trigonometry
Pythagoras Theorem Squaring a Number and Square Roots
Pythagoras – Finding C – Complete Lesson
Complete the family of four
Given that {image} {image} Evaluate the limit: {image} Choose the correct answer from the following:
Presentation transcript:

Using problem solving strategies will help me solve a real world problem.

Using Pythagoras’ theorem to solve problems

Learning intention: Using Pythagoras’ theorem to solve problems. Successful criteria: Solving word problems correctly using the steps.

Problem Solving is easy if you Understand the problem Follow the following steps

Example: Alex marched 3 m East and 6 m North. How far is he from his starting point? x = = 6.71 m Read the problem carefully. Find the important information. Draw a diagram and label any given information Choose a variable(a letter) to represent the length you want to find. use Pythagoras’ theorem to calculate the length. Answer the question and check it.