7th Grade Math Chapter 3 Applying Rational Numbers - Mr. Smessaert

[Pages:23]7th Grade Math Chapter 3

Applying Rational Numbers

Name: ___________________________

Period: _______

Common Core State Standards

CC.7.NS.1 - Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

CC.7.NS.2 - Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.

CC.7.EE.4 - Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Day 8 Day 9 Day 10

Lesson 3-1 Lesson 3-1 Lesson 3-2 Lesson 3-2 Lesson 3-3 Lesson 3-3 Lesson 3-4 Quiz Lesson 3-5 Lesson 3-5

Scope and Sequence

Day 11 Day 12 Day 13 Day 14 Day 15 Day 16 Day 17 Day 18 Day 19

Lesson 3-6 Lesson 3-6 Lesson 3-7 Lesson 3-7 Lesson 3-8 Lesson 3-8 Review Day 1 Review Day 2 Test

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5

Lesson 6 Lesson 7

IXL Modules

SMART Score of 80 is required Due the day of the exam

7.E.1 7.E.2

7.E.3 7.E.4

7.E.5 7.E.6

7.E.7 7.E.8 7.E.10 7.E.11

7.G.1 7.G.2 7.G.3 7.G.4 7.G.5

7.G.7 7.G.9 7.G.10 7.G.11

7.G.12 7.G.13 7.G.14

Add and subtract decimals Add and subtract decimals: word problems

Multiply decimals Multiply decimals and whole numbers: word problems

Divide decimals Divide decimals and whole numbers: word problems

Estimate sums, differences and products of decimals Add, subtract, multiply and divide decimals: word problems Maps with decimal distances Evaluate numerical expressions involving decimals

Add and subtract fractions Add and subtract fractions: word problems Add and subtract mixed numbers Add and subtract mixed numbers: word problems Estimate sums and differences of mixed numbers

Multiply fractions and whole numbers Multiply fractions Multiply mixed numbers Multiply fractions and mixed numbers: word problems

Divide fractions Divide mixed numbers Divide fractions and mixed numbers: word problems

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Lesson 8

7.G.15

7.G.16

7.G.17 7.G.18

Estimate products and quotients of fractions and mixed numbers Add, subtract, multiply and divide fractions and mixed numbers: word problems Maps with fractional distances Evaluate numerical expressions involving fractions

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Lesson 3-1 Adding and Subtracting Decimals

Warm-Up

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Examples: Adding Decimals

Add. Estimate to check whether each answer is reasonable

4.55 + 11.3

6.44 + 16

-8.33 + (-10.972)

6.78 + 13.2

4.21 + 34

-7.89 + (-13.852)

Subtract. 5.34 - 2.08

3.57 - 1.46

Examples: Subtracting Decimals

28 - 15.911 34 - 12.462

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Examples: Application

During one month in the United States, 492.23 million commuter trips were taken on buses, and 26.331 million commuter trips were taken on light rail. What was the total number of trips taken on buses and light rail? Estimate to check whether your answer is reasonable.

In 1999, 143.66 million bushels of corn were grown in the United States. In 2000, the harvest yielded 169.831 million bushels. What was the total production for those two years? Estimate to check whether your answer is reasonable.

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Lesson 3-2 Multiplying Decimals

Warm-Up

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Multiply. 7 x 0.1

Examples: Multiplying Integers by Decimals

-3 x 0.03

2.45 x 35

8 x 0.3

-2 x 0.04

3.65 x 15

Examples: Multiplying Decimals by Decimals

Multiply. Estimate to check whether each answer is reasonable.

2.4 x 1.8

-3.84 x 0.9

3.2 x 1.6

-2.96 x 0.7

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