Ratios and Equivalent Ratios Through Problem Solving
LQ: Can I Find equivalent ratios?
PLQ: Can I problem solve using equivalent ratios?
Do it Now – Simplify each ratio
24/09/2024
5 Minute Timer
KW: ratio, simplify, equivalent, bar model, fractions
24/09/2024
What are we learning today?
LQ: Can I Find equivalent ratios?
PLQ: Can I problem solve using equivalent ratios?
KW: ratio, simplify, equivalent, bar model, fractions
Find the ratio of orange counters to green counters in each parcel and simplify.
Which of these ratios are equivalent?
Find the fraction of orange counters in
each parcel.
How does this relate to the ratio?
KW: ratio, simplify, equivalent, bar model, fractions
Orange squash is made by diluting bottles of orange with jugs of water.
This is how Ben makes his orange drink.
He mixes 2 bottles of orange with 4 jugs of
water.
Orange squash
Which of these drinks have the
same strength as Ben’s?
KW: ratio, simplify, equivalent, bar model, fractions
A new orange squash is made from squash and water in the ratio 1 : 4
Orange squash 2
Which of these
mixtures have the
same strength?.
2 : 8
1 : 5
3 : 12
5 : 25
5 : 20
10 : 40
2 : 6
Which mixture is the strongest?
KW: ratio, simplify, equivalent, bar model, fractions
Equivalent ratios 1
1 : 5
10 :
: 100
6 :
: 55
9 :
: 1
KW: ratio, simplify, equivalent, bar model, fractions
Can you demonstrate what you have learned?
24/09/2024
HINGE QUESTION
Which ratio is equivalent to 2: 3
3 : 2
1 : 2
12 : 18
4: 5
30 Seconds
KW: ratio, simplify, equivalent, bar model, fractions
Can you demonstrate what you have learned?
24/09/2024
Reviewing Learning
Answer C
Answer A.
Answer B.
Bronze
Gold
HINGE QUESTION
Answer D
KW: ratio, simplify, equivalent, bar model, fractions
Bronze
Bronze
Equivalent ratios
2 : 3
10 :
: 60
30 :
: 1
1 :
: 27
KW: ratio, simplify, equivalent, bar model, fractions
Equivalent ratios
:
12 : 18
: 36
48 :
: 36
1 :
: 150
KW: ratio, simplify, equivalent, bar model, fractions
Equivalent ratios
:
12 : 18
: 36
48 :
: 36
1 :
: 150
KW: ratio, simplify, equivalent, bar model, fractions
Students work in silence. Start the Timer for students to write down non-negotiables and to see who is late.
1. All Students copy down Title, LQ, PLQ, Date
2. All students write down Key Words
3. All students write attempt Do it Now
Dive into the world of ratios and equivalent ratios through practical problem-solving scenarios. Explore how to simplify ratios, identify equivalent ratios, and relate them to fractions using pictorial representations and bar models. Enhance your knowledge by applying these concepts to real-life situations, such as in cooking and mixing drinks like orange squash.
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Presentation Transcript
24/09/2024 LQ: Can I Find equivalent ratios? PLQ: Can I problem solve using equivalent ratios? 5 Minute Timer Do it Now Simplify each ratio Prepare For Learning KW: ratio, simplify, equivalent, bar model, fractions
24/09/2024 What are we learning today? LQ: Can I Find equivalent ratios? PLQ: Can I problem solve using equivalent ratios? What? How? Why? We are learning how to simplify ratios and find equivalent ratios Use pictorial representations and bar models. Ratios are used in cooking, dividing up money, proportions and in more advanced mathematics such as Trigonometry. Extend our understanding using worded problems. Agree Learning Outcomes KW: ratio, simplify, equivalent, bar model, fractions
Find the ratio of orange counters to green counters in each parcel and simplify. Which of these ratios are equivalent? Find the fraction of orange counters in each parcel. How does this relate to the ratio? Present New Information KW: ratio, simplify, equivalent, bar model, fractions
Orange squash Orange squash is made by diluting bottles of orange with jugs of water. This is how Ben makes his orange drink. He mixes 2 bottles of orange with 4 jugs of water. Which of these drinks have the same strength as Ben s? Present New Information KW: ratio, simplify, equivalent, bar model, fractions
Orange squash 2 A new orange squash is made from squash and water in the ratio 1 : 4 Which of these mixtures have the same strength?. 2 : 6 10 : 40 2 : 8 5 : 25 5 : 20 3 : 12 1 : 5 Which mixture is the strongest? Present New Information KW: ratio, simplify, equivalent, bar model, fractions
Equivalent ratios 1 10 : : 100 : 55 1 : 5 9 : : 1 6 : Present New Information KW: ratio, simplify, equivalent, bar model, fractions
24/09/2024 Can you demonstrate what you have learned? HINGE QUESTION Which ratio is equivalent to 2: 3 30 Seconds 3 : 2 4: 5 12 : 18 1 : 2 Reviewing Learning KW: ratio, simplify, equivalent, bar model, fractions
24/09/2024 Can you demonstrate what you have learned? HINGE QUESTION Answer A. Bronze Answer B. Bronze Answer C Gold Answer D Bronze Reviewing Learning KW: ratio, simplify, equivalent, bar model, fractions
Bronze Equivalent ratios 10 : : 60 : 1 2 : 3 1 : : 27 30 : Construct Meaning KW: ratio, simplify, equivalent, bar model, fractions
Silver 12 : 18 Equivalent ratios : 36 : 36 : 1 : : 150 48 : Construct Meaning KW: ratio, simplify, equivalent, bar model, fractions
Silver 12 : 18 Equivalent ratios : 36 : 36 : 1 : : 150 48 : Construct Meaning KW: ratio, simplify, equivalent, bar model, fractions
