Sample | MasteryKeys: Applied Mathematics, 2016-17

MasteryKeys

Unlocking the ACT WorkKeys Test ®

®

Preparation for achieving the Silver National Career Readiness Certificate

TM

Applied Mathematics 2016 –17

Table of Contents Applied Mathematics Conversion Chart.................................................................................................................................. 7

Unit I Unit I Introduction.................................................................................................................................................................... 9 Unit I Initial Assessment......................................................................................................................................................... 11 Lesson 1: Addition................................................................................................................................................................... 15 Lesson 2: Subtraction.............................................................................................................................................................. 31 Lesson 3: Equations................................................................................................................................................................ 51 Lesson 4: Addition and Subtraction....................................................................................................................................... 53 Lesson 5: Adding and Subtracting Negative Numbers.......................................................................................................... 69 Lesson 6: Multiplication.......................................................................................................................................................... 77 Lesson 7: Addition, Subtraction, and Multiplication............................................................................................................. 93 Lesson 8: Division.................................................................................................................................................................. 107 Lesson 9: Addition, Subtraction, Multiplication, and Division............................................................................................ 119 Lesson 10: Multiplying and Dividing Negative Numbers.................................................................................................... 131 Lesson 11: Fractions.............................................................................................................................................................. 143 Lesson 12: Decimals.............................................................................................................................................................. 151 Lesson 13: Converting Fractions into Decimals................................................................................................................... 163 Lesson 14: Percentages........................................................................................................................................................ 175 Lesson 15: Decimals and Money.......................................................................................................................................... 189 Lesson 16: Time..................................................................................................................................................................... 201 Lesson 17: Unit I Overview................................................................................................................................................... 215

Unit II Unit II Introduction............................................................................................................................................................... 223 Unit II Initial Assessment...................................................................................................................................................... 225 Lesson 18: Solving Using More than One Operation ......................................................................................................... 229 Lesson 19: Averages.............................................................................................................................................................. 245 Lesson 20: Multiplying Two Different Groups..................................................................................................................... 257 Lesson 21: How Many Will it Take?....................................................................................................................................... 275 Lesson 22: Adding Fractions................................................................................................................................................. 283 Lesson 23: Improper Fractions and Mixed Numbers......................................................................................................... 297 Lesson 24: Multiplying Fractions.......................................................................................................................................... 311 Lesson 25: Multiplying Mixed Numbers.............................................................................................................................. 321 Lesson 26: Decimals and Percentages................................................................................................................................. 327 Lesson 27: Rates.................................................................................................................................................................... 339 Lesson 28: Ratios................................................................................................................................................................... 345 Lesson 29: Conversions........................................................................................................................................................ 349 Lesson 30: Adding Time........................................................................................................................................................ 357 Lesson 31: Area and Perimeter............................................................................................................................................ 369 Lesson 32: Graphs................................................................................................................................................................. 379 Lesson 33: Converting Area.................................................................................................................................................. 389 Lesson 34: Combining Area.................................................................................................................................................. 397 Lesson 35: Volume of Solid Shapes...................................................................................................................................... 405 Lesson 36: Surface Area of Solid Shapes............................................................................................................................. 413 Lesson 37: Unit II Overview.................................................................................................................................................. 421 Lesson 38: Test-Taking Tips................................................................................................................................................... 429 Practice Test #1..................................................................................................................................................................... 433 Practice Test #2..................................................................................................................................................................... 443

2015-2016 MasteryKeys Lesson Plan Week 3: Building Trades & Construction (BTC) Day 3: Applied Mathematics (AM) 1 Learning Objective(s)  AM1 L3: Solve problems that require a single type of mathematics operation (addition, subtraction, multiplication, and division) using whole numbers.  AM2 L4: Put the information in the right order before performing calculations.

The Hook The Bridge that Didn’t Work  What happened? How do you think this happened? How could it have been prevented?

Attention to detail is very important in many professions, regardless of whether you are designing the bridge or building it. (You would think someone would have noticed something was awry!).

Entrance Ticket 5 points (AM2) 1. How many more civil engineers are there expected to be by 2016?

2. How many construction laborers and construction managers were there in 2006?

3. How many more electricians are there expected to be by 2016?

Introduction  (I do) Read introduction to Lesson 3: Equations p. 59 Activity  (I do) Model addition/subtraction equation creation using word problems. Model addition/subtraction equation solving.  (We do) Create addition/subtraction equations for word problems. Solve addition/subtraction equations.

Assignment 10 points (AM2)  (You do) Create 5 unique word problems that require either addition or subtraction to solve.

Have another student check your work and sign their name at the bottom of your paper. No workbook assignment today.

Exit Ticket 5 points (AM2) You take orders over the phone for the company For each order, write down the correct codes.

1. Super glossy oak table 2. Glossy oak desk 3. Rustic pine chair 4. Glossy cedar chair 5. Rustic cedar table

Building, Trades, & Construction Applied Mathematics 1 Entrance Ticket

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Introduction

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Activity

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Introduction

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Activity

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Entrance Ticket

1. How many more civil engineers are there expected to be by 2016?

2. How many construction laborers and construction managers were there in 2006?

3. How many more electricians are there expected to be by 2016?

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Learning Targets

Introduction

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Activity

ACT WorkKeysÂŽ Practice

Exit Ticket

Learning Targets

Entrance Ticket



Solve problems that require a single type of mathematics operation (addition, subtraction, multiplication, and division) using whole numbers.



Solve problems that require one or two operations.



Put the information in the right order before performing operations.

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Introduction

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Lesson 3

Equations When something is described as an equation, it just means that whatever is on the left side of the “=” sign is equal to whatever is on the right side. Use the equal sign to show that two things are the same.

The equal sign doesn’t show an action. It is not an operation. It may feel like an action because it’s what you use on your calculator to make the numbers change.

For example, say that you have 2 dollars, and then someone walks up and gives me 5 dollars. Now you have 7 dollars. Then Billy walks up, and he has 7 dollars in his wallet, too.

1

1

1

1

1

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1

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2 dollars + 5 dollars

7 dollars

You can describe receiving the 5 dollars with an operation: addition.

You have the same amount of dollars as Billy, so you can say: 2 + 5 = 7 You’re not changing 2 + 5 into 7.

You’re just saying that 2 + 5 is the same as 7.

Mathematically, it’s correct if you told someone, “I have 2 plus 5 dollars in my wallet.” It would be the same if you said, “I have 7 dollars in my wallet.” While this is correct, in math problems, you should be as simple as possible. You should work out any operation that you can on your calculator so that you can have the simplest answer. Using 7 is much simpler than 2 + 5.

The rest of this book uses the equal sign to show when an operation is the same as a simpler number.

This also matches with what you can put into your calculator.

When an equals sign is used to show that the information on either side of it is the same, the whole math problem is called an equation.

Introduction – Equations

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Introduction

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Activity – Practice Problems So far, an orchard has sold a total of 3,044 kilograms of fresh fruit and 5,892 kilograms of frozen fruit this season. In total, how many kilograms of fruit have been sold?

Step 1: Addition or Subtraction?

Addition

Step 2: Set Up Equation

8,936 3,044 + 5,892 = _____

Step 3: Solve Equation

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Introduction

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Activity – Practice Problems Students in the Fulton School District are collecting toys for children. Last week, they collected 5,965 toys. This week, they collected 8,257. How many toys have they collected so far?

Step 1: Addition or Subtraction?

Addition

Step 2: Set Up Equation

5,965 + 8,257 = 14,222 _____

Step 3: Solve Equation

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Introduction

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ACT WorkKeys® Practice

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Activity – Practice Problems One summer, an ice cream truck driver sold 5,571 Popsicles and 3,491 ice creams. How many treats did the driver sell in all?

Step 1: Addition or Subtraction?

Addition

Step 2: Set Up Equation

5,571 + 3,491 = 9,062 _____

Step 3: Solve Equation

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Introduction

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Activity

ACT WorkKeys® Practice

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Activity – Practice Problems Sweety Pie Baking Company had 4,108 eggs. Then employees used 8 eggs to make chocolate chip cookies. How many eggs are left?

Step 1: Addition or Subtraction?

Subtraction

Step 2: Set Up Equation

4,100 4,108 – 8 = _____

Step 3: Solve Equation

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Introduction

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ACT WorkKeys® Practice

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Activity – Practice Problems Recently, the value of Jackie's retirement fund decreased by $2,335. If her fund was worth $8,361 before, how much is it worth now?

Step 1: Addition or Subtraction?

Subtraction

Step 2: Set Up Equation

6,026 8,361 – 2,335 = _____

Step 3: Solve Equation

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Introduction

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Activity

ACT WorkKeys® Practice

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ACT WorkKeys® Practice • You will create 5 unique word problems.

• Your word problems must include: 1. Complete, coherent sentences (.?!)

2. Problem must be solvable (2+2=4) 3. Problem must require addition or subtraction to solve.

4. Must include the equation and the solution.

• Your word problems must include: • When you are finished, have another student check your work, then sign their name at the bottom of your paper.

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Introduction

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Exit Ticket Katheryn’s Handmade Furniture Company Type of Lumber

Type of Finish

Project

A1. Oak

B1. Glossy

C1. Chair

A2. Cedar

B2. Super Glossy

C2. Table

A3. Pine

B3. Rustic (No finish)

C3. Desk

You take orders over the phone for the company. For each order, write down the correct codes.

1. Super glossy oak table 2. Glossy oak desk 3. Rustic pine chair 4. Glossy cedar chair 5. Rustic cedar table

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Learning Targets

Introduction

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Activity

ACT WorkKeysÂŽ Practice

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