Ways in Which You Can Support Your Child

Information for Students:

Complete all tasks for your pathway in the order that they are set.

Information for Parents/Guardians:

Ways in which you can support your child:

 Help students to access the internet and Moodle.

 Check that students are progressing through the tasks and understand the information that they are reading.

 Read the work that your child has produced and discuss with them how they have at their conclusions.

Introduction

Problem solving is a very important Mathematical skill.

This booklet will provide opportunities for students to engage in activities that require them to:

 Investigate

 Make conjectures

 Use problem-solving strategies

 Apply their mathematical understanding

 Verify solutions

 Use mathematical language.

The first section of this booklet focuses on key skills, such as addition, subtraction, multiplication and division.

1 Section 1

Make sure that you show any working out that is required. Do not use a calculator for any of these questions.

Write each of the following numbers in words.

1. 2364 ______

2. 3045 ______

3. 1999 ______

4. 74306 ______

5. 84293 ______

Write each of the following numbers in figures.

1. Three thousand two hundred and forty one. ______

2. One thousand four hundred and fifteen. ______

3. Eight thousand and fifty six. ______

4. Twenty five thousand seven hundred and ninety five. ______

5. Seventeen thousand and three. ______

Round each of the numbers in the first column. The first one has been done for you.

Number To the nearest 10 To the nearest To the nearest

2 100 1000

1 5326 5330 5300 5000

2 8764

3 6058

4 8475

5 14362

Fill in the answers to these multiplications

Fill in the answers to the divisions.

4 5 Work these out:

a. 4.2 + 3.7 =

b. 12.1 + 4.32 =

c. 4.5 – 3.2 =

d. 8.24 – 4.2 =

e. 4.2 + 5.1 – 2.8 =

f. 2.76 – 1.4 + 3.2 =

6 Use the multiplication 23 x 52 = 1196 to help you to complete the questions.

a. 2.3 x 52 =

b. 0.23 x 5.2 =

c. 0.023 x 0.052 =

d. 0.23 x 52 =

e. 1196 ÷ 5.2 =

f. 11.96 ÷ 520 =

7 Write the value of each of these.

a. 4²

b. 12²

c. 1.5²

d. 6³

e. 10³

8 Calculate these

a. 3² + 4²

b. 2³ x 3²

c. 10³ -

Section 2

Make sure that you show any working out that is required. Do not use a calculator for any of these questions.

Task 1 – These tasks are meant to help you think about different types of number.

1. Find two consecutive numbers which when added together equal 47.

2. Find three consecutive numbers which when added together equal 84.

3. Find a multiple of 5 and a multiple of 6 that have a difference of 11.

9 4. Find a multiple of 7 and a multiple of 4 that add together to make a total of 100.

5. Find two numbers which when added together make 62 and when one is subtracted from the other the answer is 12.

6. Find two numbers which when added together make 20 and when multiplied together are 84.

7. Find a number whose cube is bigger than its square by 294.

8. Find two numbers whose highest common factor is 12 and whose lowest common multiple is 1260.

Task 2 – A bunch of pens!

Danielle is buying a lot of stationery and needs some help. Read each question carefully, they are not all the same. You can use a calculator but make sure you still show your working out.

1. Rulers cost 45p each.

Pens cost 35p each.

Danielle bought four rulers and five pens.

How much did this cost her?

10 2. As well as the costs above, the shop also sells pencils cost at 15p each.

Danielle bought four rulers, five pens and three pencils.

How much did this cost her?

3. The prices at the shop have increased. Rulers cost 55p each and pens cost 35p each. Danielle bought four rulers and six pens.

How much change would she receive from a £10 note?

4. Rulers cost 60p and pens cost 25p each. Danielle bought four rulers and some pens. If the total cost was £4.40 how many pens did she buy?

5. Rulers cost 45p and pens cost 35p. Danielle bought four rulers and a bunch of pens. She paid with a £5 note and received 40p change. How many pens did she buy?

11 6. Rulers cost 45p each, pens cost 25p each and pencils cost 10p each. If I spend exactly £10 and buy at least one ruler, pen and pencil then how many of each did I buy?

Is there only one answer? (Show all of your working out).

7. Rulers cost 45p each and pens cost 35p each. If I spend exactly £10 then how many rulers and pencils did I buy?

Is there only one answer? (Show all of your working out).

Coin Puzzle

A bag contains £20.14 consisting of 50p, 20p, 10p, 5p, 2p and 1p coins only. If there are at least 14 of each of these in the bag, what is the least possible number of coins in the bag?

12 Task 3 – Bouncing Balls

A company is making bouncing balls and needs your help with some calculations.

1. A bouncy ball is made from 75% rubber and the rest plastic.

A single ball weighs 20g.

How much plastic is needed for 50 balls?

2. A bouncy ball is made from 75% rubber and the rest plastic.

A single ball weighs 20g.

If you have 2 kg of rubber, how many bouncy balls can you make?

13 3. A ball is dropped and bounces up a height that is 75% of the height from which it was dropped.

It then bounces again to a height that is 75% of the previous height and so on.

A student drops that ball from 1.5m, what is the height on the 3rd bounce?

CHALLENGE (Think reverse percentages and compound interest)

4. A ball has a volume of 1000 cm³. When packed into a box they take up 85% of the available space.

The company is going to sell 50 per box.

What size of box is needed?

14 5. A ball is dropped and bounces up a height that is 75% of the height from which it was dropped.

It then bounces again to a height that is 75% of the previous height and so on.

The 6th bounce of a ball is measured as 0.2m. What was the height it was dropped from?

15 Section 3 – Planning a Holiday

You are going to plan a family holiday. You will have to take in to account the likes and dislikes of different family members but have to design a holiday that everyone will enjoy. You are planning for the Jones family, a family of 4 – Zara, James, Tish and Henry.

Written task

Describe your ideal holiday, this will help you when thinking about what the Jones family might like to do on holiday.

These questions might help you to structure your writing:

 What sort of things do you like to do on holiday?

 Are they the same as the rest of your family?

 Do you always do what YOU want to do?

 Do you need a lot of money for your ideal holiday?

Remember to write in sentences.

16 17 Your task is to plan the Jones’ family holiday to Florida. You need to read the information below about the members of the Jones family on the next page and the activities that they can do in Florida. Your main task is to complete the holiday planner, including calculating the total cost. You can use a calculator for this task.

You must:

 Select one main activity for each member of the family for each day.

o Each child much be accompanied by an adult.

o The family must stay together on a minimum of two days.

 Complete the holiday planner showing your decisions.

 You need to consider the cost of the activities.

18 19 Kennedy Space Centre

Embark on Mankind's Ultimate Journey... a trip to Kennedy Space Center Visitor Complex. Just east of the most popular Orlando attractions and theme parks, NASA's launch headquarters is the only place on Earth where you can tour launch areas, meet a veteran astronaut, see giant rockets, train in spaceflight simulators, and even view a launch.

Swimming with Dolphins Dolphin Cove is a marine education and dolphin swim facility located in sunny Key Largo, Florida. Visit us in the Florida Keys and swim with dolphins in our natural lagoon open to the Florida Bay.

Bush Gardens Busch Gardens is the bay area s No. 1 tourist destination, where wildlife and wild rides come together in an unparalleled combination of Broadway-style shows, a world-class zoo with more than 2,500 exotic and endangered animals and more record- breaking roller coasters than any destination in Florida.

20 Miami Beach - Ocean Force Adventure Explore Miami by water on the only Zodiac RIB boat tour in Florida. You will explore more than 40 miles of Biscayne Bay during 2 hours of adventure sightseeing on a Zodiac RIB (same boats used by the FBI and Coast Guard) as you speed across brilliant blue ocean waters and soak up the sundrenched Florida skies to explore the glamour, the mystery and the history of Miami's Biscayne Bay.

Big Red Balloon: The Adventure Big Red Balloon Sightseeing Adventures are flown only at sunrise in the Northern Hillsborough and Southern Pasco County area and provide an outstanding bird’s eye view of Florida's most beautiful landscapes. See picturesque lakes reflect the tall cypress laced with Spanish moss. Watch deer prance across open fields and then disappear under the lush green oak trees. Fly over alligators swimming lazily across a pond or bathing in the morning sun.

Little Manatee River Kayak Trip Float downstream with the current through the Little Manatee River State Park at your own pace and let us transport you back upstream. Observe wildlife, picnic in the park, go fishing or take a short hike. Come enjoy a great day in the Florida

Everglades and Airboat Tour A fantastic Floridian adventure. Visit glorious Miami, a playground for the rich and famous before experiencing the natural wonders of the Everglades including an exhilarating of an airboat ride.

Edison & Ford Winter Estates, Fort Myers Among Southwest Florida’s great treasures, the historic winter homes of Thomas Alva Edison and Henry Ford sit on 14 lush acres and come complete with Edison’s laboratory. This jewel of Fort Myers is surrounded by 20 acres of lush tropical botanical and research gardens, 500 unique plants and four champion trees. The museum contains hundreds of Edison and Ford inventions and artefacts.

The Rapids Water Park

21 South Florida's premiere family park from the Keys to Orlando. The Rapids features a full day of fun for the entire family whether you make a splash in the cool blue waves, take a thrilling ride down any of our 29 water slides, or just float around the lazy river. Rapids Water Park has 25 acres of action packed attractions, with something fun for everyone.

Sebastian Skydive Located on the Florida Coastline allowing our visiting skydivers to enjoy an incredible view of the Sebastian Inlet and the Atlantic Ocean while in freefall and under canopy as well as an enjoyable coastal environment after skydiving.

Activity Adult Child Special Offers / Additional Information Big Red Balloon: The $185 $160 Adventure

Bush Gardens $74.95 $64.95

Edison & Ford $20 $11 (ages 9-12) Under 9s FREE Winter Estates, Fort Myers

Everglades and $17.50 $9 Airboat Tour

Kennedy Space $41 $31 Centre

Little Manatee River $32 $24 Kayak Trip

Miami Beach - $150 per person Ocean Force Adventure Sebastian Skydive $195 per person $20 discount for

22 children Swimming with $249 per person Dolphins

The Rapids Water Mon-Fri $32.95 Under 2s FREE Park Sat & Sun $35.95

Conversion Rate: 1 U.S. dollar = 65p / £0.65

STEP 1 2 3 4 5 6 7 8 Teacher feedback:

Whole School Literacy- Assessing Extended Writing

Students can STEP 1 - Form and write basic words Students can STEP 2 - Write words of one or more syllable - Spell simple words correctly - Use a full stop at the end of a sentence Students can STEP 3 - Spell words with an –ed or –ing ending - Write in simple sentences - Use some interesting words - Organise ideas into a sensible order Students can STEP 4 - Spell common words with general accuracy - Organise ideas into simple paragraphs - Write simple and compound sentences - Use a suitable vocabulary for a given purpose Students can STEP 5 - Use common and complex words with general accuracy - Join paragraphs together with a connective word or phrase - Use a range of punctuation and sentence types - Vary vocabulary for effect Students can STEP 6 - Spell complex words with a high degree of accuracy - Write and connect a variety of paragraphs with clear cohesion - Use a full range of punctuation including apostrophes, colons and semi colons

23 - Use imaginative and attention grabbing vocabulary Students can STEP 7 - Spell all words, including uncommon and ambitious words, with a high degree of accuracy - Use a full range of punctuation with assurance and control - Connect a range of paragraphs with assurance to create a well- controlled text - Use a complete range of vocabulary, including technical vocabulary, to create an intended effect Students can STEP 8 - Use a full range of punctuation with maturity and style, completing written tasks with exceptional technical accuracy - Ensure extended texts are structured with style and fluency, completing written tasks that are highly engaging - Use an excellent range of vocabulary with flair and maturity

Student Reflection

Q1. What skills or knowledge do you now have because you have completed these homework tasks?

Q2. How could you do this type of work better in the future?

Q3. What resources did you use to complete these tasks?

Q4. Can you think of any better resources you would like to use in the future?

Q5. Which parts of this homework booklet did you find hardest?

How were you resilient in completing the hardest task?

24 Parent Signature …………………………………………..

Teacher Comment Overall Effort Grade = E1 E2 E3 E4 E5