MS Algebra A SSE.1a Ch. 1.1 Interpret Algebraic Expressions

Transcription

1 MS Algebra A SSE.1a Ch. 1.1 Interpret Algebraic Expressions Mr. Deyo Interpret parts of an expression, such as terms, factors, and coefficients

2 Title: 1.1 Interpret Algebraic Expressions Date: Learning Target By the end of the period, I can interpret the parts of an expression, including, its terms, its factors, and its coefficients. I will demonstrate this by completing Four Square Notes and by solving problems in a pair/group activity.

3 Home Work 1 2 3: 1) Class 4 Square Notes Put In Binder? 2) Section 1.1 Pg ) Section TxtBk. Problems #23 26,53 59 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

4 Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer: 1. How are the two images similar? 2. How are they different? 3. How can these two images be related to math?

5 Daily Warm-Up Exercises 1. Evaluate the expression 25 n, when n = Evaluate the expression a 3, when a = 4.

6 Daily Warm-Up Exercises 1. Evaluate the expression 25 n, when n = 7. ANSWER Evaluate the expression a 3, when a = 4. ANSWER 64

7 1) Expression Vocabulary 2) Variables 3) Coefficients 4) Constants 5) Terms

8 Sketch DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch Wordwork DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example Word List Friendly Definition DAY 1 1. Use Visuals 2. Introduce the word Friendly Definition Physical Representation 3. Use Cognates 4. Write friendly definition 5. Physical Representation DAY 5 1. Review the word Friendly definition Physical Representation Sentence 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing

9 Notes: Number of Terms: Variable: Value of Coefficient: Value of Constant:

10 Notes: Number of Terms: Variable(s): Value of Coefficient(s): Value of Constant:

11 A B Problem A notes: Suppose x adults and y children visit a theme park one day. The price of an adult ticket is a dollars and the price of a child s ticket is c dollars. Interpret the following in everyday language using as many vocabulary terms as possible. 1) a = 3c. 2) ax + cy < 1000

12 A B Problem A Check: Suppose x adults and y children visit a theme park one day. The price of an adult ticket is a dollars and the price of a child s ticket is c dollars. Interpret the following in everyday language using as many vocabulary terms as possible. 1) a = 3c The cost of an adult ticket (variable a) is three times the cost of a child ticket (variable c). 3) ax + cy < 1000 The product of the price of each adult ticket multiplied by the number of adult tickets sold being added to the product of the price of each child ticket multiplied by the number of child tickets sold is less than one thousand dollars.

13 A B Problem B SOLVE!! Shannon is trying to determine the cost of producing her gourmet popcorn. Running the factory for one day represents $600 in salary and building costs. Each pound of popcorn costs an additional 30 cents in supplies. She writes down the following equation: C = x Explain how she developed this equation by identifying what each variable and term represents.

14 A B Problem B Check!! Shannon is trying to determine the cost of producing her gourmet popcorn. Running the factory for one day represents $600 in salary and building costs. Each pound of popcorn costs an additional 30 cents in supplies. She writes down the following equation: C = x Explain how she developed this equation by identifying what each variable and term represents. She created this equation by identifying the daily constant of $600 in salary and building costs. She also identified the coefficient of 0.30 for the cost of supplies for each (variable X) pound of popcorn made at the factory.

15 Problem A Evaluate an expression in two variables MOVIES The total cost of seeing a movie at a theater can be represented by the expression a + r where a is the cost (in dollars) of admission and r is the cost (in dollars) of refreshments. Suppose you pay $7.50 for admission and $7.25 for refreshments. Find the total cost.

16 Problem A Evaluate an expression in two variables MOVIES The total cost of seeing a movie at a theater can be represented by the expression a + r where a is the cost (in dollars) of admission and r is the cost (in dollars) of refreshments. Suppose you pay $7.50 for admission and $7.25 for refreshments. Find the total cost. SOLUTION Total cost a + r = Write expression. = Substitute 7.50 for a and 7.25 for r. = Add. ANSWER The total cost is $14.75.

17 Problem B Suppose you go back to the theater with a friend to see an afternoon movie. You pay for both admissions. Your total cost (in dollars) can be represented by the expression 2a. If each admission costs $4.75, what is your total cost?

18 Problem B Suppose you go back to the theater with a friend to see an afternoon movie. You pay for both admissions. Your total cost (in dollars) can be represented by the expression 2a. If each admission costs $4.75, what is your total cost? a = a = 2(4.75) 2a = 9.50 ANSWER $9.50

19 Problems A Read and write powers Write the power in words and as a product. Power Words Product a. 7 1 b. 5 2 c d. z 5

20 Problems A Read and write powers Write the power in words and as a product. Power Words Product a. 7 1 seven to the first power 7 b. 5 2 five to the second power, or five squared 5 5 c one half to the third power, 1 or one half cubed d. z 5 z to the fifth power z z z z z

21 Problems B Write the power in words and as a product. 9 5 Words Product 2 8 n 4

22 Problems B Write the power in words and as a product. ANSWERS nine to the fifth power, two to the eighth power, n 4 n to the fourth power, n n n n

23 Storm Check (Think, Write, Discuss, Report) What is the difference between a variable, a coefficient, and a constant? A variable is. A coefficient is. A constant is.

24 1) Expression Vocabulary 2) Variables 3) Coefficients 4) Constants 5) Terms

25 Home Work 1 2 3: 1) Class 4 Square Notes Put In Binder? 2) Section 1.1 Pg ) Section TxtBk. Problems #23 26,53 59 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

26 Title: 1.1 Interpret Algebraic Expressions Date: Learning Target By the end of the period, I can interpret the parts of an expression, including, its terms, its factors, and its coefficients. I will demonstrate this by completing Four Square Notes and by solving problems in a pair/group activity.

27 Ticket OUT. 2 Julia ran 10 miles last week and 8 miles this week. 3 How many more miles did she run last week? 5 6

28 Ticket OUT. 2 Julia ran 10 miles last week and 8 miles this week. 3 How many more miles did she run last week? 5 6 ANSWER 5 1 mi 6