Starter Exchange rate is $NZ1 = $AUD0.836 If you have $NZ450 how much will you get in $AUD? $AUD = 450 x 0.836 = $AUD376.20 If you need to have $AUD800,

Slides:



Advertisements
Similar presentations
Equivalent lists. The Ratio p : q is What is the scaling from p to q as as a fraction? as a decimal ? Increase or Decrease ? INVERSE The Ratio q : p is.
Advertisements

What You Will Learn Recognize and solve direct and joint variation problems Recognize and solve inverse variation problems.
Unit 6: Scale Factor and Measurement How will you measure up?
HOW TO DIVIDE FRACTIONS
Chapter Similar Solids Two Solids with equal ratios of corresponding linear measurements Ratios Not Equal Not Similar Ratios equal Solids are.
3.4 Dividing Rational Numbers. Multiplicative Inverse Two numbers whose product is 1 Reciprocals.
8-2 6th grade math Proportions.
2.5 Solving Proportions Write and use ratios, rates, and unit rates. Write and solve proportions.
Using Cross Products Lesson 6-4. Cross Products When you have a proportion (two equal ratios), then you have equivalent cross products. Find the cross.
Variation. Direct Variation if there is some nonzero constant k such that k is called the constant of variation.
Rate a comparison of two differing quantities can be expressed as a fraction. e.g.Rate of travel 80km/h Fuel Consumption 7.3 L/100km Fuel Price
Linear Functions and Their Properties Section 4.1.
To calculate a fraction of a number mentally. To find a fraction of a quantity. To choose a way of working out and give a reason why that method was chosen.
Starter Questions 36 o. Learning Intention To explain how to divide by 20, 300, 4000 etc using our knowledge so far. Whole Numbers Multiply or Divide.
Welcome to Math 6 +- x Review of Lessons The Connector… Let’s review each of the skills we learned since Lesson 12 and go over the key points again.
Starter  What is: B) C)
Direct and Inverse Variations Direct Variation When we talk about a direct variation, we are talking about a relationship where as x increases, y increases.
Algebra I Vocabulary Chapter 2. Equations that have the same solution(s) are called.
Solving Number Problems US5235 Solving Number Problems.
8-3 6 th grade math Solving Proportions Using Cross Products.
1 ratios 9C5 - 9C6 tell how one number is related to another. may be written as A:B, or A/B, or A to B. compare quantities of the same units of measurement.
GEOMETRIC SOLIDS 1 Similar Solids. SIMILAR SOLIDS 2 Definition: Two solids of the same type with equal ratios of corresponding linear measures (such as.
Unit Three Ratios and Proportional Relationships Why do we learn vocabulary in math??
9-1 & 9-2 Trigonometry Functions. Vocabulary Examples 1) Write the ratios for Sin A Cos A Tan A 2) Write the ratios for Sin A Cos A Tan A.
Chapter 7: Similarity.
PRESENTATION 9 Ratios and Proportions
Percents and Fractions. Vocabulary A percent is a ratio that compares a number to 100. It means “per 100.” 49 out of 100 is 49%.
Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :
STARTER Factorise the following: x2 + 12x + 32 x2 – 6x – 16
Course Ratios and Proportions Warm Up Write each fraction in lowest terms
Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)
Chapter 9: Lesson 4: Solving Percent Problems with Proportions
Chapter 10: Lesson 4: Solving Percent Problems with Proportions
Fractions of Quantities
Finding a Percent of a Number
Math – The Multiplication/Division Principle of Equality 1.
8.3 Similar Polygons. Similar Polygons Definition : Similar polygons have congruent angles and sides in the same ratio (called Scale factor). Write the.
  A ratio is a way to compare two quantities that are measured in the same units by using division  45 : 100 Ratio.
Similar Triangles Triangles that have the same shape but not necessarily the same size. Corresponding angles are congruent. Meaning they have the same.
3.9 Proportions Goal to solve problems involving proportions.
Course Ratios and Proportions 5-1 Ratios and Proportions Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson.
3.8B Solving Systems using Matrix Equations and Inverses.
3.8 – Direct, Inverse, and Joint Variation. Direct Variation When two variables are related in such a way that the ratio of their values remains constant.
Direct Variation If two quantities vary directly, their relationship can be described as: y = kx where x and y are the two quantities and k is the constant.
Solving a Proportion by “Cross” Multiplying
Homework Assistance Guide
Solving Linear Equations and Inequalities
Ratios and Proportions
Proportion.
Proportions and Percent Equations
Learning Journey – Percentages
Section 5.3A Solving Proportions Section 5.3A Solving Proportions
HOW TO DIVIDE FRACTIONS
Use Inverse Matrices to Solve 2 Variable Linear Systems
Pima Medical Institute Online Education
Recall that a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the.
Corresponding Parts of Similar Triangles
Ratios and Rates.
Comparing and Scaling Develop students ability to make intelligent comparisons of quantitative information using ratios, fractions, decimals, rates, unit.
Constant Rate of Change
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
I have 0 Jelly Beans I need Jelly Beans.
How do I solve a proportion?
Scale factors and similarity
Calculate the value of ‘
Solving Percent Problems Using Proportions
7.1 Proportions Ratio: A comparison of two quantities using division.
Write a proportion that compares hours of work to pay.
Lesson 6 Ratio’s and Proportions
Using Cross Products Chapter 3.
Presentation transcript:

Starter Exchange rate is $NZ1 = $AUD0.836 If you have $NZ450 how much will you get in $AUD? $AUD = 450 x = $AUD If you need to have $AUD800, how much will this cost in $NZ? $NZ = 800 ÷ = $NZ956.94

Starter Jenny uses a memory stick to store digital pictures, music downloads and video clips. These take up ⅓, ⅖ and ⅛ respectively of the memory. Calculate the fraction of the memory stick that is still available to store data. A plastic bottle is ⅞ full. When it is poured into an empty glass, the bottle is now ⅗ full. What fraction of a full bottle will remain after a further two glasses have been poured out? 17 / / 20

Note 7: Direct Linear Proportions Similar ratios can be used to solve linear proportion problems. The ratio can be scaled up (or down) by multiplying (or dividing) both parts of the ratios by the same number.

Examples: The ratio of gummy bears to jelly beans in a lolly mixture is 3:5. If the mixture has 75 gummy bears, how many jelly beans are there in the mixture? 3 x _ = 75 What fraction of the lolly mixture is gummy bears? 5 x 25 = 125 3/83/8

Note 8: Inverse Proportion If one quantity is inversely proportional to another; one quantity increases while the other quantity decreases. The product of the two quantities is a constant value.

Examples: It takes six painters 15 days to paint a school. How long will it take 10 painters? One painter takes more or less time? One painter would take: 10 painters would take: more 6 x 15 = 90 days 90 / 10 = 9 days

Page 17 Exercise K and L