Learning Targets:I can discover how numerous groups over there are once the variety of groups and also the quantity in each team are not whole numbers.
You are watching: How many rhombus in a hexagon
Write a fraction or entirety number as an answer for every question. If you gain stuck, use the fraction strips. Be all set to share her strategy.
How numerous frac 12 s space in 2?How countless frac 15 s room in 3?How many frac 18 s room in 1frac 14 ?
Use the pattern blocks in the applet come answer the questions. (If girlfriend need aid aligning the pieces, you deserve to turn ~ above the grid.)
If the trapezoid to represent 1 whole, what execute each of the adhering to shapes represent? Be prepared to display or define your reasoning.
Use pattern blocks to stand for each multiplication equation. Usage the trapezoid to represent 1 whole.
3 oldcdot frac 13=1
3 oldcdot frac 23=2
Diego and also Jada to be asked “How many rhombuses are in a trapezoid?”Diego says, “1frac 13 . If I put 1 rhombus ~ above a trapezoid, the leftover shape is a triangle, i m sorry is frac 13 of the trapezoid.”Jada says, “I think it’s 1frac12 . Due to the fact that we desire to discover out ‘how countless rhombuses,’ we have to compare the leftover triangle come a rhombus. A triangle is frac12 that a rhombus.”
Select all equations that can be used to prize the question: “How plenty of rhombuses are in a trapezoid?”
frac 23 div ? = 1
? oldcdot frac 23 = 1
1 div frac 23 = ?
1 oldcdot frac 23 = ?
? div frac 23 = 1
5.3 illustration Diagrams to show Equal-sized Groups
For each situation, draw a diagram for the connection of the amounts to aid you answer the question. Then write a multiplication equation or a department equation because that the relationship. Be prepared to share your reasoning.The distance approximately a park is frac32 miles. Noah speak his bicycle roughly the park for a total of 3 miles. How many times approximately the park did the ride?You need frac34 garden of ribbon because that one gift box. You have actually 3 yards the ribbon. How numerous gift boxes perform you have ribbon for?The water hose fills a bucket in ~ frac13 gallon every minute. How plenty of minutes does it require to fill a 2-gallon bucket?
Are you prepared for more?
How many heaping teaspoons are in a heaping tablespoon? just how would the answer depend on the form of the spoons?
Lesson 5 Summary
Suppose one batch that cookies calls for frac23 cup flour. How plenty of batches deserve to be made v 4 cups of flour?
We deserve to think of the inquiry as being: “How plenty of frac23 s are in 4?” and also represent it utilizing multiplication and division equations.
? oldcdot frac23 = 4 4div frac23 = ?
Let’s usage pattern blocks to visualize the situation and say the a hexagon is 1 whole.
Since 3 rhombuses make a hexagon, 1 rhombus represents frac13 and 2 rhombuses represent frac 23 . We can see that 6 pairs of rhombuses make 4 hexagons, for this reason there space 6 teams of frac 23 in 4.
Other kinds of diagrams can also aid us reason about equal-sized groups involving fractions. This instance shows how we might reason about the same question indigenous above: “How numerous frac 23 -cups space in 4 cups?”
We can see each “cup” partitioned into thirds, and also that there room 6 teams of frac23 -cup in 4 cups. In both diagrams, we view that the unknown worth (or the “?” in the equations) is 6. For this reason we can now write:
6 oldcdot frac23 = 4 4div frac23 = 6
Lesson 5 practice Problems
Use the ice diagram to represent and also find the value of frac12divfrac13 .
Mark up and also label the diagram as needed.
What is the value of frac12divfrac13 ? usage pattern block to represent and also find this value. The yellow hexagon represents 1 whole. Define or present your reasoning.
Use a traditional inch ruler to answer each question. Then, write a multiplication equation and a department equation that answer the question.
How numerous frac12 s are in 7?
How numerous frac38 s space in 6?
How many frac516 s room in 1frac78 ?
Use the ice diagram come represent and also answer the question: How many frac25 s are in 1frac12 ?
Mark up and label the diagram together needed.
Write a multiplication equation and also a division equation to stand for each question, statement, or diagram.
There room 12 fourths in 3.
How countless frac 23 s are in 6?
At a farmer’s market, two vendors sell fresh milk. One merchant sells 2 liters for $3.80, and another merchant sells 1.5 liters for $2.70. I beg your pardon is the far better deal? define your reasoning.
A recipe offers 5 cup of flour for every 2 cups of sugar.
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