Topic 11 Fraction Equivalence and Ordering. Exam Intervention Booklet

Transcription

1 Topic Fraction Equivalence and Ordering Exam Intervention Booklet

2 Intervention Lesson G Factoring Numbers Materials color tiles or counters, for each student The arrays below show all of the factors of.. What are all the factors of?,,,,,. Create all the possible arrays you can with 7 color tiles.. What are the factors of 7?, Numbers which have only possible arrays and exactly factors are prime numbers.. Is 7 a prime number?. Is a prime number? Numbers which have more than possible arrays and more than factors are composite numbers.. Is 7 a composite number? 7. Is a composite number?. What are all the factors of?. Is a prime number or a composite number? Intervention Lesson G

3 Intervention Lesson G Factoring Numbers (continued) Find all the factors of each number. Tell whether each is prime or composite Mr. Lee has desks in his room. He would like them arranged in a rectangular array. Draw all the different possible arrays and write a multiplication sentence for each.. Reasoning Lee says is a prime number because it is an odd number. Is Lee s reasoning correct? Give an example to prove your reasoning. Intervention Lesson G

4 Intervention Lesson H Fractions on the Number Line Each fraction names a point on a number line. Name the missing fractions on the number line below by answering to How many equal lengths is the distance between 0 and divided into? Since, the distance between 0 and is divided into equal lengths, each length is of the whole length.. To name the first missing fraction, count by eighths. Write in the first box above.. To name the next missing fraction, keep counting. Write in the second box above. Name the missing numbers on the number line below by answering to.,,,,, 0. How many equal parts is the distance between 0 and divided into? Since, the distance between 0 and is divided into equal lengths, each length is of the whole length. Intervention Lesson H

5 Intervention Lesson H Fractions on the Number Line (continued). To name the first missing fraction, count by fifths.,,,,,,, Write in the first box on the number line.. To name the second missing fraction, continue counting.,,, Write in the second box on the number line. Write the missing fraction or mixed number for each number line The number line shows how far Glen, Ned, and Lois ran in a one-mile race. Write a fraction that shows how far Ned and Lois ran. Starting Point 0 Ned Lois? End Ned Lois Glen stopped here. stopped here. stopped here. Intervention Lesson H

6 Intervention Lesson H Using Models to Compare Fractions Materials fraction strips Use,, or to compare and by answering to.. Show,, and with fraction strips.. Compare. Which is greater in total length, or?. Since is longer than, is greater than. Write,, or. Compare and by answering to.. Show,, and with fraction strips.. Compare. Which is greater in total length, or?. Since is shorter than, is less than. Write,, or =. Compare and by answering 7 to. 7. Show,, and with fraction strips.. Compare. Which is greater in total length, or?. Since and are the same length, is equal to. Write,, or. Intervention Lesson H

7 Intervention Lesson H Using Models to Compare Fractions (continued) Compare. Write <, >, or = Reasoning Give fractions with different denominators that are less than.. Reasoning Two students are writing stories. Eric s story is of a page. Alba s story is of a page. Whose story is longer? Intervention Lesson H

8 Intervention Lesson H7 Using Models to Find Equivalent Fractions Materials fraction strips Find a fraction equivalent to by answering to.. Show a and with fraction strips.. How many strips does it take to equal?. So, is equal to six strips. Find the missing number in?, by answering to 7. The denominators of the fractions tell which fraction strips to use.. Show and with fraction strips.. What is the denominator of the second fraction?. Since the denominator of the second fraction is, find the number of strips equal to. 7. So, is equal to five strips. Intervention Lesson H7 7

9 Intervention Lesson H7 Using Models to Find Equivalent Fractions (continued) Complete each number sentence Reasoning On Tuesday, of the class time was spent on math projects. How many sixths of the class time was spent on math projects? Intervention Lesson H7

10 Intervention Lesson H Comparing Fractions Materials fraction strips Compare and 7 by answering to. Compare each fraction to. Write or Since and 7, then You can compare two fractions with the same denominator just by comparing the numerators. Use equivalent fractions to compare and by answering to.. is the same as how many twelfths?. Since =, you can now compare and. Which fraction has the greater numerator? 7.. Compare. Write or. So,. 7. Use fraction strips to compare and. Write > or <.. Which fraction has the greater denominator or? When both fractions have the same numerator, the fraction with the greater denominator is less than the other fraction. Intervention Lesson H

11 Intervention Lesson H Comparing Fractions (continued) Compare. Write,, or for each Reasoning Two students are timed on a math facts test. Nathan finished of the problems. Terrell finished of the problems. Which student finished a greater part? Intervention Lesson H

12 Intervention Lesson H Equivalent Fractions Materials crayons or markers. Show by coloring of the strips.. Color as many strips as it takes to cover the same region as the. How many strips did you color?. So, is equivalent to four strips. You can use multiplication to find a fraction equivalent to. To do this, multiply the numerator and the denominator by the same number.. What number is the denominator of multiplied by to get?. Since the denominator was multiplied by, the numerator must also be multiplied by. Put the product of in the numerator of the second fraction above. Multiply the numerator and denominator of each fraction by the same number to find a fraction equivalent to each Show by coloring of the strips.. Color as many strips as it takes to cover the same region as. How many strips did you color? Intervention Lesson H

13 Intervention Lesson H Equivalent Fractions (continued). So, is equivalent to three strips. You can use division to find a fraction equivalent to. To do this, divide the numerator and the denominator by the same number.. What number is the denominator of divided by to get?. Since the denominator was divided by, the numerator must also be divided by. Put the quotient of in the numerator of the second fraction above. Divide the numerator and denominator of each fraction by the same number to find a fraction equivalent to each... If the numerator and denominator cannot be divided by anything else, then the fraction is in simplest form.. Is in simplest form?. Is in simplest form? Find each equivalent fraction Write each fraction in simplest form Reasoning Explain why is not in simplest form... Intervention Lesson H

14 Intervention Lesson H Comparing and Ordering Fractions Jen ate 7 of a salad. Jack ate of a salad. Find out who ate the greater part of a salad by answering. Compare 7 and.. Are the denominators the same? If the denominators are the same, then compare the numerators. The fraction with the greater numerator is greater than the other fraction.. Compare. Write,, or Who ate the greater part of a salad, Jen or Jack? Compare and by answering to. Are the denominators the same?. Are the numerators the same? If the numerators are the same, compare the denominators. The fraction with the greater denominator is less than the other fraction.. Compare. Write,, or. Compare and by answering 7 to. 7. Are the denominators the same?. Are the numerators the same? If neither the numerators or the denominators are the same, change to equivalent fractions with the same denominator.. What is the LCM of and? Intervention Lesson H

15 Intervention Lesson H Comparing and Ordering Fractions (continued). Rewrite and as equivalent fractions with a denominator of.. Compare. Write,, or. Write,, and in order from least to greatest by answering to.. Use the denominators to compare. Write,, or.. Rewrite so that it has a denominator common with.. Compare the numerators. Write,, or.. Use the comparisons to write,, and in order from least to greatest. Compare. Write,, or , 7,.,,. 7,, 7. 7,,. Reasoning Mario has two pizzas the same size. He cuts one into equal pieces and the other into equal pieces. Which pizza has larger pieces? Explain. Intervention Lesson H

16 Intervention Lesson J7 Write to Explain Materials crayons or markers At Sam s Sandwich Shop, Toni ate of a medium sandwich, Becky ate of a small sandwich, and Mary Jo ate of a medium sandwich. Explain why Toni and Mary Jo ate the same amount of sandwich, but Toni and Becky ate different amounts. Solve by answering to.. Toni ate of a medium sandwich. Color the diagram at the right to show what Toni ate.. Becky ate of a small sandwich.. How did the size of Becky s sandwich compare to the size of Toni s sandwich? Toni Becky Mary Jo. Color the diagram above to show what Becky ate.. Mary Jo ate of a medium sandwich.. How did the size of May Jo s sandwich compare to the size of Toni s sandwich? 7. Color the diagram above to show what Mary Jo ate.. Use the diagram to explain why Toni and Mary Jo ate the same amount, but Toni and Becky ate different amounts. Intervention Lesson J7

17 Intervention Lesson J7 Write to Explain (continued) Write to explain.. Explain how you find the perimeter of the figure shown on the right. ft ft 7 ft ft ft. Mrs. Kim wants to re-seed a small section of her yard. Explain how to find the area of the yard. ft ft ft ft Solve the problem. Write to explain how you solved.. The Oak Street Theater has sections of seating. Each section has rows of seats. Two sections have seats in each row. The other sections have seats in each row. How many seats are there in the theater? Intervention Lesson J7