21 st century lessons writing algebraic expressions lesson 2 1

15
Warm Up Agenda 2 1) Sally made 20 more shots than Kevin, k . Write an algebraic expression to represent how many shots Sally made. 2) Damon bought a bin of 68 sour candies. He ate c candies. Write an algebraic expression to represent how many candies Damon has left. 3) What were the key words that helped you write the algebraic expressions for the problems above? k+2 0 20+ k or 68 – c OBJECTIVE: SWBAT write algebraic expressions using grouping symbols and the phrase less than. As well as write written expressions from algebraic expressions. Language Objective: SWBAT speak with a partner about translations between algebra and English.

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Page 1: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

Warm Up

Agenda

2

1) Sally made 20 more shots than Kevin, k. Write an algebraic expression to represent how many shots Sally made.

2) Damon bought a bin of 68 sour candies. He ate c candies. Write an algebraic expression to represent how many

candies Damon has left.

3) What were the key words that helped you write the algebraic expressions for the problems above?

k+20 20+kor

68 – c

OBJECTIVE: SWBAT write algebraic expressions using grouping symbols and the phrase less than. As well as write written expressions from algebraic expressions.Language Objective: SWBAT speak with a partner about translations between algebra and English.

Page 2: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

Agenda:

1) Warm Up

2) Launch

3) Explore 1

5) Practice6) Assessment

3

Agenda

Marvin’s Math- Whole Class

Marvin’s Math Part 1- Whole Class

Marvin’s Math Part 2- Whole Class4) Explore 2

Class Work- Partners

Individual

Exit Slip- Individual

OBJECTIVE: SWBAT write algebraic expressions using grouping symbols and the phrase less than. As well as write written expressions from algebraic expressions.Language Objective: SWBT to translate the meaning ‘sum of’ and ‘difference of’ into algebraic expressions.

Page 3: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

Launch- Marvin’s Math

Agenda

4

Agenda

4

Pick a number,Marvin’s Math

add two, multiply by five.

What number did you pick? What was your result?What did you do first? What did you do second?

Now everyone, let’s use the same number 18.

Let’s get a few volunteers.

Page 4: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

Agenda

5

Agenda

5

Pick a number Marvin’s Math

, add two , multiply by five.

What was everyone’s result using 18?

Turn and talk: Is Marvin’s expression correct? Explain your reasoning.

5218

Great! Everyone’s response is 100. This is my numerical expression using the number 18.

Explore- Marvin’s Math: Part 1

Page 5: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

6

Turn and talk: Is Marvin’s expression correct?

5218 No! What do we need to do in order to make this expression equal 100?

5)218( Hint

Agenda

Explore- Marvin’s Math: Part 1

Numerical Expression.

Page 6: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

8

Agenda

Our goal is to write this as an

Pick a number, add two, multiply by five. Marvin’s Math

Explore- Marvin’s Math: Part 1

Algebraic Expression.

(182)5Numerical Expression

(102)5

(12)5If 10 is picked

If 1 is picked

5)2( x

Page 7: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

9

5)2( x

How do you think we should write as a written expression?

)2( xLet’s break it down into 2 parts.

The sum of a number and two.

Algebraic Expression

The word sum prompts you to add first.

The sum of a number and two, times five.

Next we combine the two parts.

Agenda

Explore- Marvin’s Math: Part 1

Our next goal is to write this as an Written Expression.

Page 8: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

10

10)4( x

Ex. 1 Write a for

Four times the difference of a number and six)6(4 x

Ex. 2 Write an for

5)2( xAlgebraic Expression Written Expression

The sum of a number and two, times five.

Practice problems

The sum of a number and four, divided by ten

)6(4 xor

Agenda

Explore- Marvin’s Math: Part 1

OBJECTIVE ALERT

written expression

algebraic expression

Page 9: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

Explore –Marvin's Math: Part 2

11

Agenda

30 less than x

x30

Marvin knows 30 fewer math tricks than his friend.

30x Here are 2 possible Algebraic Expressions.

Which is correct?Lets go back to our basics to figure it out…

Here is the showing the number of tricks Marvin knows.

a) b)

written expression

Page 10: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

12

1. What is 30 less than 50?

Turn and Talk: When you see “less than” in a written expression, what is important?

What did you do to get your answer?

2. What is 30 less than 72?

3. What is 30 less than 56?

4. What is 30 less than x?

Agenda

Explore –Marvin's Math: Part 2

2050 - 30

4272 - 30

2656 - 30

x - 30

Page 11: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

13

Agenda

30 less than x

x30

Marvin knows 30 fewer math tricks than his friend.

30x Here are 2 possible Algebraic Expressions.

Here is the written expression showing the number of tricks Marvin knows.

a) b)Correct Answer

Explore –Marvin's Math: Part 2

Page 12: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

Practice- Class Work

14

Agenda

Name__________________ Date____________

Class Work Lesson 4

a) five less than three times a number

c) nine times the sum of a number and fifteen

g) The sum of half a number and four

e) one plus the product of a number and five

h) seven less than a third of the sum of a number and two

f) A number less than twenty five

d) The sum of twice a number and seven

b) eight less than the quotient of a number and two

1) Directions: Write an algebraic expression for each.

2) Directions: Write two written expression for each. Use the key vocabulary.

10)9( dh10

a) b)

Let’s do the first one together.

Page 13: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

15

Agenda

Name__________________ Date____________

Class work lesson 4

a) five less than three times a number

c) nine times the sum of a number and fifteen

g) The sum of half a number and four

e) one plus the product of a number and five

h) seven less than a third of the sum of a number and two

f) A number less than twenty five

d) The sum of twice a number and seven

b) eight less than the quotient of a number and two

1) Directions: Write an algebraic expression for each.

2) Directions: Write two written expression for each. Use the key vocabulary.

10)9( dh10

a) b)

Let’s do the first one together.

n3 5 Important!!!!Identify theoperation(s) by underlining key words.

Practice- Class Work

Page 14: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

Practice- Class Work Summary

16

Agenda

Name__________________ Date____________

Class Work Lesson 4

a) Five less than three times a number

c) Nine times the sum of a number and fifteen

g) The sum of half a number and four

e) One plus the product of a number and fiveh) Seven less than a third of the sum of a number and two

f) A number less than twenty fived) The sum of twice a number and seven

b) Eight less than the quotient of a number and two

1) Directions: Write an algebraic expression for each.

2) Directions: Write two written expression for each. Use the key vocabulary.

10

ce)

h10a)

)13(7 nc)

)10( hg g)

10)9( db)

122 xd)

)13(2 nf)

Page 15: 21 st Century Lessons Writing Algebraic Expressions Lesson 2 1

Assessment-Exit Slip

31

Agenda

1) Write an algebraic expression for

Three times the sum of a number and eight

2) Write a written expression for the algebraic expression using less than.

n93) Write an algebraic expression for

Ten less than the sum of a six and a number

A number less than nine

)8(3 n

10)6( x