lesson 4 algebra 1 express simple functions in different forms

Entry Activity Order, add and subtract positive and negative numbers in context

10

8

6

4

2

0

-2

-4

-6

12

a) What is in between -4 and -6 on the thermometer?b) In my classroom the temperature has fallen to -4 degrees.

I put the radiators on and it goes up by 8 degrees. What’s the temperature now?

c) In the next classroom the temperature is 6 degrees, the teacher turns off the radiator and the temperature drops by 9 degrees, what is the temperature?

d) In London on Christmas Day last year it was -5 degrees. It is 30 degrees in Adelaide on the same day. How much warmer is it in Adelaide?

e) In Bradford on 30th August it was 19 degrees, I was told that is was 21 degrees colder in the south pole. What temperature is it there?

f) I have just got off the plane and at my maximum height I was 7km above group. I am going in a submarine next week and we are going down under the sea by 1.5km. What’s the difference in height between my 2 journeys?

Entry Activity - Answers Order, add and subtract positive and negative numbers in context

10

8

6

4

2

0

-2

-4

-6

12

a) What is in between -4 and -6 on the thermometer? - 5b) In my classroom the temperature has fallen to -4 degrees.

I put the radiators on and it goes up by 8 degrees. What’s the temperature now? 4 degrees

c) In the next classroom the temperature is 6 degrees, the teacher turns off the radiator and the temperature drops by 9 degrees, what is the temperature? -3 degrees

d) In London on Christmas Day last year it was -5 degrees. It is 30 degrees in Adelaide on the same day. How much warmer is it in Adelaide? 35 degrees

e) In Bradford on 30th August it was 19 degrees, I was told that is was 21 degrees colder in the south pole. What temperature is it there? – 2 degrees

f) I have just got off the plane and at my maximum height I was 7km above group. I am going in a submarine next week and we are going down under the sea by 1.5km. What’s the difference in height between my 2 journeys? 8.5km

Today I will learn to:

Express simple functions as function machines Level 3/4Calculate the rule when given an input and output Level 4

Challenge Objective:To solve mappings problems Level 5

Key WordsFunction, Sequence, Generate, Term, Common,

Describe, Input, Output

Check:

All will find an outputMost will find a rule from input and outputSome will find the rule for double functions when given an input & output

I will find an output

Level 3

Level 4

Level 4

Answers1 a output {7, 8, 11, 14} b output {2, 3, 6}, input 11 c output {20, 25, 55}, input 8 d output {10, 8, 6}, input 50 2 a add 2 b multiply by 3 c divide by 2 (or halve) d multiply by 8

3 a {3, 5, 9}, 19 b {3, 6, 9}, 20 c input {5, 10}, output {12, 16}

d input {1, 3, 10}, output 32

Using your planners show me how you found this

Check:


Extension Task – Problem Solving

Find at least ten different functions that have 50 as one of the output numbers

50

Today I will learn to: Do: Check:Express simple functions as function machines Level 3/4Calculate the rule when given an input and output Level 4

Write functions in symbol and mapping



To find the double function when given the input and output

Key WordsFunction, Sequence, Generate, Term,

Common, Describe, Input, Output

Double functions

Level 3

Level 4

Answers1 a 9, 11, 13, 15 b 7, 13, 19, 25 c 9, 12, 15, 18 d 18, 20, 22, 24 2 A variety of diagrams depending on the starting

inputs. 3 a multiply by 2; 18, 20 b subtract 1; 14, 17 c multiply by 4; 15, 19 d add 3; 7, 8 4 a {1, 3, 4, 7} b {2, 3, 5, 8} c {3, 5, 9, 10}

Check:


What about when we have an input and an output with two functions...

Level 5

Answers

a multiply by 2 → add 1 b multiply by 3 → subtract 1 c multiply by 5 → add 2d add 3 → multiply by 2 or multiply by 2 → add 6e add 1 → multiply by 3 or multiply by 3 → add 3f add 2 → multiply by 5 or multiply by 5 → add

10

Check:


Problem Solving - PlenaryI am have decided to enter a running race.

On average I run 1km in 9 minutes.I want to run the race in under an

hour.I can enter the following races, 5km,

10km, 15km or 20km.Which race should I enter? Why?

Problem Solving - Plenary

The function machine for the problem

X 9

Distance of the race

Total time taken to run

lesson 4 algebra 1 express simple functions in different forms

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