## Math Expressions Common Core Grade 4 Unit 6 Lesson 10 Answer Key Focus on Mathematical Practices

**Math Expressions Grade 4 Unit 6 Lesson 10 Homework**

A pizza garden is a smaller version of a pizza farm. You can make a pizza garden at your home or in your community.

Question 1.

Use the circle below to draw a vegetarian pizza garden with 8 wedges. In each wedge, show one of the following vegetarian ingredients: wheat, fruit, vegetables, Italian herbs, and dairy cows. Use each type of ingredient at least once.

Answer:

Circle with 8 wedges. Circle with one of the following vegetarian ingredients: wheat, fruit, vegetables, Italian herbs, and dairy cows.

Question 2.

What fraction of your pizza garden is made up of wheat or fruit?

Answer:

Fraction of pizza garden is made up of wheat = \(\frac{1}{8}\)

Fraction of pizza garden is made up of fruit = \(\frac{1}{8}\)

Question 3.

What fraction of your pizza garden is not made up of vegetables?

Answer:

Fraction of your pizza garden is not made up of vegetables = \(\frac{7}{8}\)

Explanation:

Fraction of pizza garden made up of all ingredients = 1.

Fraction of your pizza garden is not made up of vegetables = 1 – Fraction of pizza garden is made up of vegetables

= 1 – \(\frac{1}{8}\)

= \(\frac{7}{8}\)

**Math Expressions Grade 4 Unit 6 Lesson 10 Remembering**

**Use the rule to find the next five terms in the pattern.**

Question 1.

7, 14, 28, 56, ……..

Rule: multiply by 2

Answer:

Rule: multiply by 2.

7, 14, 28, 56, ……….

Next five multiples = 112, 224, 448, 896, 1792.

Question 2.

10, 18, 26, 34, ………

Rule: add 8

Answer:

Rule: add 8

10, 18, 26, 34, ………

Next five multiples = 42, 50, 58, 62, 70.

**Use the rule to find the first ten terms in the pattern.**

Question 3.

First term: 3

Rule: multiply by 2

Answer:

Rule: multiply by 2

First term: 3

Next ten terms = 3, 6,12, 24, 48, 96,192, 384, 768, 1536, 3072.

**Solve.**

Question 4.

A rectangular vegetable garden is 10 yards by 7 yards. What is the perimeter of the garden in feet?

Answer:

Perimeter of the a rectangular vegetable garden = 28 yards.

Explanation:

Length of the a rectangular vegetable garden = 10 yards.

Width of the a rectangular vegetable garden = 7 yards.

Perimeter of the a rectangular vegetable garden = 2(Length of the a rectangular vegetable garden + Width of the a rectangular vegetable garden)

= 2(10 + 7)

= 2 × 14

= 28 yards.

**Multiply. Change fractions greater than I to mixed numbers or whole numbers.**

Question 5.

7 • \(\frac{3}{5}\) = ___________

Answer:

7 • \(\frac{3}{5}\) = \(\frac{21}{5}\) = 4\(\frac{1}{5}\)

Question 6.

12 • \(\frac{1}{2}\) = ___________

Answer:

12 • \(\frac{1}{2}\) = 6 × 1 = 6.

Question 7.

9 • \(\frac{3}{10}\) = ___________

Answer:

9 • \(\frac{3}{10}\) = \(\frac{27}{10}\) = 2\(\frac{7}{10}\)

Question 8.

**Stretch Your Thinking** The table shows the amount of snowfall, in inches, during the winter months last year and this year. How much would it have to snow in February this year for the total snowfall this winter to be the same as last winter? Show your work.

Answer:

Amount of snowfall in Feb this year = 9\(\frac{5}{8}\) inches.

Explanation:

Amount of snowfall in Dec last year = 12\(\frac{7}{8}\) inches.

Amount of snowfall in Jan last year = 17\(\frac{1}{8}\) inches.

Amount of snowfall in Feb last year = 26\(\frac{3}{8}\) inches.

Total amount of snowfall in last year = Amount of snowfall in Dec last year + Amount of snowfall in Jan last year + Amount of snowfall in Feb last year

= 12\(\frac{7}{8}\) + 17\(\frac{1}{8}\) + 26\(\frac{3}{8}\)

= 29\(\frac{8}{8}\) + 26\(\frac{3}{8}\)

= 55\(\frac{11}{8}\) inches.

Amount of snowfall in Dec this year = 35\(\frac{5}{8}\) inches.

Amount of snowfall in Jan this year = 11\(\frac{1}{8}\) inches.

Amount of snowfall in Feb this year = ??? inches.

Total amount of snowfall in last year = Amount of snowfall in Dec this year + Amount of snowfall in Jan this year + Amount of snowfall in Feb this year

=> 55\(\frac{11}{8}\) = 35\(\frac{5}{8}\) + 11\(\frac{1}{8}\) + ???

=> 55\(\frac{11}{8}\) = 46\(\frac{6}{8}\) + ???

=> 55\(\frac{11}{8}\) – 46\(\frac{6}{8}\) = ???

=> 9\(\frac{5}{8}\) inches. =??? = Amount of snowfall in Feb this year