Name: HR:______ Date:
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2: Lesson 1 Objectives: I can compare and order integers and determine absolute value.. Vocabulary Words:
Integer – the set of whole numbers and their opposites. (…-3, -2, -1, 0, 1, 2, 3…)
Additive Inverse- a number that is the same distance from 0 on a number line as the original number, but on the other side of 0. Also called opposite.
Opposite – two numbers are opposite when they are the same distance from zero!
Absolute Value- the distance from 0 to the number on a number line. Since distance can never by negative, absolute values are never negative. They are always positive or zero.
Ex. 1. Graph the integer -5 and its opposite on a number line.
Ex. 2. Graph the integers on a number line. Compare the integers. Use < or >.
1
Unit 2: Rational Number Operations (Math 7) Ex. 3. Use a number line to order the following integers from least to greatest.
Ex. 4. Use a number line to find each absolute value.
HW Assignment: p. 74-75: 16-30, 44, 50-51
2
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2: Lesson 2 Objectives: I can use a number line to add integers.
Rules to ADD Integers!! Ex.
Same Sign Ex.
Different Sign Ex.
Opposites
Ex. 1. Use a number line to find the sum.
Practice Problem:
3
Unit 2: Rational Number Operations (Math 7) Ex. 2. Evaluate the following expression:
Practice Problems:
Problem Solving: Cody made deposits of $45, $18, and $27 into his checking account. He then wrote checks for $21 and $93. Write an expression to show the change in Cody’s account. Then simplify the expression. Understand:
Pick Strategy:
Implement:
Conclude (full sentence):
HW: p. 82: 13-16, 21-24, 29-32, 60-65
4
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2: Lesson 3 Objectives: Subtract Integers. *** Addition and subtraction are inverse operations. In other words, they undo each other. So instead of subtracting a number, you can add its opposite and get the same answer! ***
Rules to Subtract Integers!! Ex.
Ex. 1. Find the difference.
Ex. 2. Evaluate the expression.
HW: p. 88: 21-24, 29-32, 35, 39-40
5
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2, Lesson 4 Objectives: I can multiply and divide integers. Vocabulary Words: Product - Answer to a multiplication problem.
Rules to MULTIPLY and DIVIDE Integers!! Ex.
Same Sign Ex.
Different Sign Multiply:
Zero
Ex.
Divide:
Ex. 1. Find the Product.
Practice Problems:
6
Unit 2: Rational Number Operations (Math 7) Ex. 2. Find the quotient.
Practice Problems:
Problem Solving: A scuba diver is swimming at a depth of -12 feet in the Flower Garden Banks National Marine Sanctuary. She dives down to a coral reef that is at five times this depth. What is the depth of the coral reef? Understand:
Pick Strategy:
Implement:
Conclude (full sentence):
HW: p. 94: 22-29, 34, 63-64, 69-72
7
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2, Lesson 5 Objectives: I can identify properties of numbers and use them to simplify numerical expressions. Vocabulary Words:
Ex. 1: Tell which property is represented.
8
Unit 2: Rational Number Operations (Math 7) Ex. 2: Simplify each expression. Justify each step you take.
Ex. 3: Use the Distributive Property to find each product.
Error Analysis: A student simplified the expression 6 ∙ (9 + 12) as shown. What is the student’s error?
HW: p. 26: 19-24, 25-27, 31-33, 66-68
9
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.1
Pages: 144-147
Objectives: Students estimate decimal sums, differences, products, and quotients. Vocabulary Words:
Compatible Numbers – Numbers that are close to the given numbers that make estimation easier.
Ex. 1 Estimate by rounding to the nearest integer.
Ex. 2 Use compatible numbers to estimate.
Ex. 3 Murray and 4 friends split the cost of a pizza, with each paying the same amount. Murray has $3.36. The pizza costs $14.20. Does Murray have enough to pay for his share? About how much is his share? Understand
Pick Strategy
Implement
Conclude
10
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.2
Pages: 148 - 151
Objectives: Students add and subtract decimals. Rule for Adding and Subtracting Decimals: __________________________________________________________________________________________ Ex. 1 Add. Estimate to check whether each answer is reasonable.
Ex. 2 Subtract.
Ex. 3 A team of mountain climbers makes a camp 1.48 kilometers about sea level. They climb another 2.91 kilometers to the mountain’s peak. How tall is the mountain? Understand Pick Strategy Implement
Conclude
11
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.3
Pages: 154 - 157
Objectives: Students multiply decimals. Rule for Multiplying Decimals: __________________________________________________________________________________________ __________________________________________________________________________________________ Ex. 1 Multiply. Estimate to check whether each answer is reasonable.
Ex. 2 Student tickets for the basketball playoffs cost $9.25 each. How much do 9 student tickets cost? Understand
Pick Strategy
Implement
Conclude
12
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.4
Pages: 160 - 163
Objectives: Students divide decimals and integers by decimals. Rule for Dividing Decimals: __________________________________________________________________________________________ __________________________________________________________________________________________ Ex. 1 Divide. Estimate to check whether each answer is reasonable.
Ex. 2 Mount McKinley, in Alaska, is about 3.848 miles high. If a mountain climber can climb 0.25 miles per day, about how long would it take to climb Mount McKinley? Understand
Pick Strategy
Implement
Conclude
13
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.6
Pages: 170 - 173
Objectives: Students estimate sums, differences, products and quotients of fractions and mixed numbers
Ex. 1 Estimate the sum or difference.
Ex. 2 Estimate the product or quotient.
Ex. 3 Sari jogs miles on Monday, distance for the week.
miles on Wednesday, and
Understand
Pick Strategy
Implement
Conclude
miles on Friday. Estimate her total
14
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.7
Pages: 176-179
Objectives: Students add and subtract fractions Ex. 1 Add. Write each answer in simplest form.
Ex. 2 Subtract. Write each answer in simplest form.
15
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.8
Pages: 180 - 183
Objectives: Students add and subtract mixed numbers. Ex. 1 Add. Write each answer in simplest form.
Ex. 2 Subtract. Write each answer in simplest form.
Ex. 3 The liquid ingredients in a recipe are water and olive oil. The recipe calls for cups of olive oil. How many cups of liquid ingredients are included in the recipe? Understand
Pick Strategy
Implement
Conclude
cups of water and
16
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.9
Pages: 186 - 189
Objectives: Students multiply fractions and mixed numbers. Ex. 1 Multiply. Write each answer in simplest form.
Practice Problem: .
Ex. 2 Ron spends 3 hours painting a picture. Ashley spends Ashley work on her sculpture?
as long creating a sculpture. How long does
Understand
Pick Strategy
Implement
Conclude
17
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.10
Pages: 190 - 193
Objectives: Students divide fractions and mixed numbers Ex. 1 Divide. Write each answer in simplest form.
Practice Problem: .
Ex. 2 The Flathead Rail Tunnel in Montana is about speed of about
miles long. If a train travels through the tunnel at a
miles per minute, how long will it take to pass from one end of the tunnel to the other?
Understand
Pick Strategy
Implement
Conclude
18
Integer – the set of whole numbers and their opposites. (…-3, -2, -1, 0, 1, 2, 3…)
Additive Inverse- a number that is the same distance from 0 on a number line as the original number, but on the other side of 0. Also called opposite.
Opposite – two numbers are opposite when they are the same distance from zero!
Absolute Value- the distance from 0 to the number on a number line. Since distance can never by negative, absolute values are never negative. They are always positive or zero.
Ex. 1. Graph the integer -5 and its opposite on a number line.
Ex. 2. Graph the integers on a number line. Compare the integers. Use < or >.
1
Unit 2: Rational Number Operations (Math 7) Ex. 3. Use a number line to order the following integers from least to greatest.
Ex. 4. Use a number line to find each absolute value.
HW Assignment: p. 74-75: 16-30, 44, 50-51
2
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2: Lesson 2 Objectives: I can use a number line to add integers.
Rules to ADD Integers!! Ex.
Same Sign Ex.
Different Sign Ex.
Opposites
Ex. 1. Use a number line to find the sum.
Practice Problem:
3
Unit 2: Rational Number Operations (Math 7) Ex. 2. Evaluate the following expression:
Practice Problems:
Problem Solving: Cody made deposits of $45, $18, and $27 into his checking account. He then wrote checks for $21 and $93. Write an expression to show the change in Cody’s account. Then simplify the expression. Understand:
Pick Strategy:
Implement:
Conclude (full sentence):
HW: p. 82: 13-16, 21-24, 29-32, 60-65
4
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2: Lesson 3 Objectives: Subtract Integers. *** Addition and subtraction are inverse operations. In other words, they undo each other. So instead of subtracting a number, you can add its opposite and get the same answer! ***
Rules to Subtract Integers!! Ex.
Ex. 1. Find the difference.
Ex. 2. Evaluate the expression.
HW: p. 88: 21-24, 29-32, 35, 39-40
5
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2, Lesson 4 Objectives: I can multiply and divide integers. Vocabulary Words: Product - Answer to a multiplication problem.
Rules to MULTIPLY and DIVIDE Integers!! Ex.
Same Sign Ex.
Different Sign Multiply:
Zero
Ex.
Divide:
Ex. 1. Find the Product.
Practice Problems:
6
Unit 2: Rational Number Operations (Math 7) Ex. 2. Find the quotient.
Practice Problems:
Problem Solving: A scuba diver is swimming at a depth of -12 feet in the Flower Garden Banks National Marine Sanctuary. She dives down to a coral reef that is at five times this depth. What is the depth of the coral reef? Understand:
Pick Strategy:
Implement:
Conclude (full sentence):
HW: p. 94: 22-29, 34, 63-64, 69-72
7
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Unit 2, Lesson 5 Objectives: I can identify properties of numbers and use them to simplify numerical expressions. Vocabulary Words:
Ex. 1: Tell which property is represented.
8
Unit 2: Rational Number Operations (Math 7) Ex. 2: Simplify each expression. Justify each step you take.
Ex. 3: Use the Distributive Property to find each product.
Error Analysis: A student simplified the expression 6 ∙ (9 + 12) as shown. What is the student’s error?
HW: p. 26: 19-24, 25-27, 31-33, 66-68
9
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.1
Pages: 144-147
Objectives: Students estimate decimal sums, differences, products, and quotients. Vocabulary Words:
Compatible Numbers – Numbers that are close to the given numbers that make estimation easier.
Ex. 1 Estimate by rounding to the nearest integer.
Ex. 2 Use compatible numbers to estimate.
Ex. 3 Murray and 4 friends split the cost of a pizza, with each paying the same amount. Murray has $3.36. The pizza costs $14.20. Does Murray have enough to pay for his share? About how much is his share? Understand
Pick Strategy
Implement
Conclude
10
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.2
Pages: 148 - 151
Objectives: Students add and subtract decimals. Rule for Adding and Subtracting Decimals: __________________________________________________________________________________________ Ex. 1 Add. Estimate to check whether each answer is reasonable.
Ex. 2 Subtract.
Ex. 3 A team of mountain climbers makes a camp 1.48 kilometers about sea level. They climb another 2.91 kilometers to the mountain’s peak. How tall is the mountain? Understand Pick Strategy Implement
Conclude
11
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.3
Pages: 154 - 157
Objectives: Students multiply decimals. Rule for Multiplying Decimals: __________________________________________________________________________________________ __________________________________________________________________________________________ Ex. 1 Multiply. Estimate to check whether each answer is reasonable.
Ex. 2 Student tickets for the basketball playoffs cost $9.25 each. How much do 9 student tickets cost? Understand
Pick Strategy
Implement
Conclude
12
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.4
Pages: 160 - 163
Objectives: Students divide decimals and integers by decimals. Rule for Dividing Decimals: __________________________________________________________________________________________ __________________________________________________________________________________________ Ex. 1 Divide. Estimate to check whether each answer is reasonable.
Ex. 2 Mount McKinley, in Alaska, is about 3.848 miles high. If a mountain climber can climb 0.25 miles per day, about how long would it take to climb Mount McKinley? Understand
Pick Strategy
Implement
Conclude
13
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.6
Pages: 170 - 173
Objectives: Students estimate sums, differences, products and quotients of fractions and mixed numbers
Ex. 1 Estimate the sum or difference.
Ex. 2 Estimate the product or quotient.
Ex. 3 Sari jogs miles on Monday, distance for the week.
miles on Wednesday, and
Understand
Pick Strategy
Implement
Conclude
miles on Friday. Estimate her total
14
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.7
Pages: 176-179
Objectives: Students add and subtract fractions Ex. 1 Add. Write each answer in simplest form.
Ex. 2 Subtract. Write each answer in simplest form.
15
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.8
Pages: 180 - 183
Objectives: Students add and subtract mixed numbers. Ex. 1 Add. Write each answer in simplest form.
Ex. 2 Subtract. Write each answer in simplest form.
Ex. 3 The liquid ingredients in a recipe are water and olive oil. The recipe calls for cups of olive oil. How many cups of liquid ingredients are included in the recipe? Understand
Pick Strategy
Implement
Conclude
cups of water and
16
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.9
Pages: 186 - 189
Objectives: Students multiply fractions and mixed numbers. Ex. 1 Multiply. Write each answer in simplest form.
Practice Problem: .
Ex. 2 Ron spends 3 hours painting a picture. Ashley spends Ashley work on her sculpture?
as long creating a sculpture. How long does
Understand
Pick Strategy
Implement
Conclude
17
Unit 2: Rational Number Operations (Math 7) Name:_________________________________ HR:______ Date:_________________ Section: 3.10
Pages: 190 - 193
Objectives: Students divide fractions and mixed numbers Ex. 1 Divide. Write each answer in simplest form.
Practice Problem: .
Ex. 2 The Flathead Rail Tunnel in Montana is about speed of about
miles long. If a train travels through the tunnel at a
miles per minute, how long will it take to pass from one end of the tunnel to the other?
Understand
Pick Strategy
Implement
Conclude
18
