Discover Maths 1

Page 1

JUNIOR CYCLE MATHS FIRS T YEAR

Discover Maths 11 Digital Resources Teachers and students can access the Discover Maths 1 interactive e-book at www.edcolearning.ie, plus a bank of free digital resources, including:

› Editable chapter summary PowerPoints to aid revision and exam preparation › Editable worked solutions PowerPoints for each chapter, with step-by-step workings for questions

Author-presented demonstration videos of worked examples covering tricky topics

Discover Maths 1 J U N I O R C YC L E M AT H S

FIRST YEAR

A new, highly accessible and engaging First Year Maths Book for the Junior Cycle

Quizlet activities to reinforce and revise textbook content E di FRE gital

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Editable units of learning and templates to support planning

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Customised and engaging GeoGebra activities

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JUNIOR CYCLE MATHS FIRS T YEAR

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Links to useful websites

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JUNIOR CY CLE MATHS FIRST YEAR

Discover Maths

Discover Maths 1 J U N I O R C YC

L E M AT H S

FIRST YEAR

J U N I O R C YC

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Additionally, their in-depth experience includes correcting State Examinations and providing online tuition in Maths education to Junior Cycle students nationwide. The author team has also been instrumental in teaching mathematics to Junior Cycle students from 23 Deis schools, showcasing their dedication to inclusive education as part of the Trinity Access Programme.

I O R

JUNI

L E M AT H S F I

Discover Maths 1 is written by a team of Maths teaching experts, all with extensive experience as practising secondary school Maths teachers. With a combined wealth of diverse experience teaching in various educational settings, the authors also design and conduct seminars on mathematical teaching methods for teachers across Ireland.

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Discover Maths 11 Brings Maths to Life !

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STEPHANIE MUL LIGAN · BRENDAN GUILDEA MEGAN KELLY · TERESA CARROLL

Name: Class:

STEPHANIE MULLIGAN · BRENDAN GUILDEA MEGAN KELLY · TERESA CARROLL .

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Please contact your Local Edco Representative to book a presentation and request a sample copy, Ph: 01-4500611, Email: info@edco.ie, Website: www.edcopublications.ie

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J U N

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Discover

JUNIO

Maths

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THS

FIRST

JUN

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FIRS

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F I R

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A wide range of questions on each topic to help students develop their mathematical ability

AR

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YEAR

Differentiated questions cater for students of varying abilities in the mixed-ability First Year classroom

JUNIO

Discover Maths 1 is a new First Year Maths book, written by a team of highly experienced, maths experts. It is the first in a three-book series designed to fully meet the needs of teachers and students, and the requirements of the Junior Cycle Maths specification. Written in a highly accessible manner, and addressing the challenges of the mixed-ability First Year classroom, the book contains hundreds of excellent and engaging questions to suit all abilities and support the transition from Primary School Maths. As well as a comprehensive range of resources to support the planning and teaching needs of teachers.

Name:

Exam-style questions are incorporated into the end-of-chapter revision exercises, and are graded into three levels to help you assess students’ mathematical knowledge, understanding and skills and allow you to set appropriate questions for your class:

Class:

R C YC

L E M AT

HS FIR

ST YEA

3x+

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DEA DAN GUIL N · BREN OLL IE MULLIGA· TERESA CARR STEPHAN KELLY MEGAN

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The Discover Maths 1 package includes: l A Student Textbook l Free Student eBook l Free Student Graph Copy l A Teacher’s Resource Book - including editable planning documents and worked solutions l Free Digital Resources

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Revision Exerc Just for Fun

Reflection Task

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Discover Maths

Ch 05.indd

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UNIFICATION 1

DISCOVER

3𝑎𝑎𝑎𝑎

side, (a) Find the length of the unmarked in terms of 𝑎𝑎. 𝑐𝑐 for the (b) Write an expression in 𝑎𝑎 and perimeter of the shape.

Statistics and Probability

Number

complete (c) What topics did you unify to question?

Solution

Geometry

(a) 4 𝑎𝑎 − 𝑎𝑎

Algebra

3 𝑎𝑎

𝑐𝑐𝑐𝑐

𝑐𝑐 (b) 3 𝑎𝑎 + 5 𝑎𝑎 + 4 𝑎𝑎 + 𝑎𝑎 + 𝑐𝑐 + 5 𝑎𝑎 − 18 𝑎𝑎

4𝑎𝑎𝑎𝑎

this

𝑎𝑎𝑎𝑎 5𝑎𝑎𝑎𝑎 – 𝑐𝑐𝑐𝑐

5𝑎𝑎𝑎𝑎

Add up all the sides Simplify

167

166 21/11/23 8:07 PM 21/11/23 8:07 PM Discover Maths Ch 08.indd 166

Discover Maths Ch 08.indd 167

–4𝑝𝑝𝑝𝑝

5𝑝𝑝𝑝𝑝

leof2 6 Half Examp

–3𝑝𝑝𝑝𝑝

6𝑞𝑞𝑞𝑞

–𝑞𝑞𝑞𝑞

4𝑞𝑞𝑞𝑞

2+3

3

length of (a) Find the of 12 A third in terms of 𝑎𝑎.

ed side, 12 ___ the unmark 12 ÷ 3 or 3

on (b) Write an expressi

in 𝑎𝑎 and 𝑐𝑐 for the

Half of 𝑥𝑥

A third of 𝑥𝑥

le 1er of the shape. Examp perimet

5𝑎𝑎

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𝑐𝑐𝑐𝑐

Solution (i) 𝑥𝑥 + 3

(ii) 𝑥𝑥 − 2

(v) 𝑥𝑥 + 2𝑥𝑥 Simplify 3𝑥𝑥

C YC

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𝑥𝑥(𝑥𝑥)

𝑥𝑥 + 𝑦𝑦

𝑦𝑦

2

𝑥𝑥__

3

𝑎𝑎𝑎𝑎 5𝑎𝑎𝑎𝑎 – 𝑐𝑐𝑐𝑐

there 4𝑎𝑎𝑎𝑎 “In terms of 𝑥𝑥” means your answer. should be an 𝑥𝑥 in

e this you unify to complet 5𝑎𝑎𝑎𝑎 didage. years of is 𝑥𝑥topics What (c) Emma in terms of 𝑥𝑥. Write James’ age, question? older than Emma. (i) James is 3 years in 𝑥𝑥 for Molly’s age. Write an expression younger than Emma. . (ii) Molly is 2 years age on her next birthday on in 𝑥𝑥 for Emma’s Solution up all the sides Add (iii) Write an expressi 𝑐𝑐 − . 𝑎𝑎 𝑥𝑥 5 + terms of + 𝑐𝑐 in + 𝑎𝑎age 𝑎𝑎 + 4 𝑎𝑎Jill’s + 5Write (b) 3 𝑎𝑎 age. 𝑎𝑎 − twice Emma’s 4 𝑎𝑎is (a) Simplify (iv) Jill your answer 𝑎𝑎 and Jill’s age? Write 18Emma 3 𝑎𝑎 is the sum of (v) What form. simplest number 𝑥𝑥, in its and ofalgebra termser, Perimet (c) in

(iv) 2𝑥𝑥

–3

6 __ 6 ÷ 2 or 2

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Discover Maths Ch

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vi

TEACHER’S RESOURCE BOOK

Discover Maths 1 Teacher’s Resource Book has everything a teacher needs to successfully teach and plan First Year Junior Cycle Maths and help you save time: l Comprehensive editable planning documents l Printed fully worked solutions l Guidance on the Junior Cycle Maths specification l Additional blank templates

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TEACHER’S RESOURCE BOO

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JUNIOR CY CLE MATHS FIRST YEAR

Discover Maths 1 J U N I O R C YC

Discover Maths 21

Discover Maths 31

ORDINARY LEVEL HIGHER LEVEL will complete the package and be available in Spring 2025

L E M AT H S

FIRST YEAR

3x+ vi

(c) Perimeter, algebra and number

The sum of 2 and

–2𝑦𝑦𝑦𝑦

Think-Pair-Share, Class Discussion, Class Activity tasks and questions encourage individual inquiry, pair-work and whole-class learning

Two squares and six triangles

Example 2

The Importance of Unification

unification of skills is In real-world applications of maths, for example make plans on essential. Marketing agencies and services. Online how to effectively promote products to track what you marketing uses computer algorithms advertisements to your are watching and reading to tailor are written using algebra and personal interests. Algorithms will then be analysed purchases basic arithmetic. Views and such as the Venn diagrams and results displayed on graphs we saw in Chapter 1 Sets.

Three squares plus one triangle One square and four triangles

5𝑥𝑥𝑥𝑥 applicatio 𝑥𝑥𝑥𝑥 of real-life web maths, review of this with article and discuss your class: diousguy.com/ https://stu 12𝑦𝑦𝑦𝑦 atics/ examples-of-mathem 5𝑦𝑦𝑦𝑦

JUN

3(𝑥𝑥)

.

(c) 2 𝑠𝑠 + 6 𝑡𝑡

5𝑥𝑥𝑥𝑥

7𝑝𝑝𝑝𝑝

triangles One square and four six triangles 2 squares and 5(5) or 5

Two 2 𝑠𝑠 + 6 𝑡𝑡 d by 5 (c)5 multiplie

𝑦𝑦 − 2

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(b) 𝑠𝑠 + 4 𝑡𝑡

(b) 𝑠𝑠 + 4 𝑡𝑡

𝑥𝑥 + 3

Three 𝑥𝑥’s

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(a) 3 𝑠𝑠 + 𝑡𝑡

To explore more examples of real-life applications of maths, review of this web article and discuss with your class: https://studiousguy.com/ examples-of-mathematics/

3𝑥𝑥𝑥𝑥

2𝑥𝑥𝑥𝑥

3(2)

2 less than 𝑦𝑦

Solution plus one triangle + 𝑡𝑡 6 Three squares 5(6) (a) 35𝑠𝑠 times

on of skills is ions of maths, unificati make plans on In real-world applicat Statistics and g agencies for example essential. Marketin s and services. Online 9. Number Probability promote product how to effectively track what you 8. ms to18𝑛𝑛𝑛𝑛 20𝑥𝑥𝑥𝑥 computer algorith 7𝑦𝑦𝑦𝑦 7. g uses ements to your marketin to tailor advertis 10𝑛𝑛𝑛𝑛 reading and g 𝑦𝑦𝑦𝑦 14𝑥𝑥𝑥𝑥 are watchin using algebra and 2𝑦𝑦𝑦𝑦 . Algorithms are written 6𝑛𝑛𝑛𝑛 be analysed try Geome personal interests then will and purchases diagrams arithmetic. Views basic 4𝑥𝑥𝑥𝑥 such as the Venn graphs Algebra on d and results displaye 1 Sets. we saw in Chapter 12. 11. 10.

4𝑥𝑥𝑥𝑥

Three 2’s

3 more than 𝑥𝑥

9−2

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to know: Before you begin, you will need in previous chapters. ● All of the material covered l problem-solving requires ● Real-world mathematica using a combination of skills.

Solution

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6𝑏𝑏𝑏𝑏

2𝑏𝑏𝑏𝑏 ation 4𝑎𝑎𝑎𝑎 e of Unific –3𝑎𝑎𝑎𝑎rtanc The5𝑎𝑎𝑎𝑎Impo

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F I R

RST YEAR

Turbo Exercise

167 171 174 178

Apply your combined skills to real-world problem solving.

167 171 174 178

3𝑥𝑥𝑥𝑥

3 more than 5 2 less than 9

d ● Apply your combine skills to real-world it. the two bricks below is found by adding problem solving. bricksin the pyramid Each Example bricks. fill in all the missing each pyramid Exerciseand outControl Copy Cruise 3. 2. tor Exercise Accelera 1. To explore more examples Turbo Exercise 7𝑥𝑥𝑥𝑥 ns of 2𝑥𝑥𝑥𝑥 4𝑥𝑥𝑥𝑥 𝑎𝑎𝑎𝑎 you will need to know: 𝑎𝑎𝑎𝑎 you𝑎𝑎𝑎𝑎 begin, Before chapters. covered in previous ● All of the material requires atical problem-solving ● Real-world mathem 5. of skills. tion combina a 4. using

Algebra

Number

Combine a variety in of skills obtained previous chapters.

T H S

L E M AT H S F I

Accelerator Exercise

Combine a variety of skills obtained in previous chapters.

M A

J U N I O R C YC

Cruise Control Exercise

triangles of allow us to express made up can . below are e: Algebra s. 𝑠𝑠 units squared The shapes is situation as a languag square ld Algebra of each g real-wor analysin and the forarea of 𝑠𝑠 and 𝑡𝑡. squared ly useful 𝑡𝑡 units is incredib This below shapes, in terms area of each of the on for algebra: to the (c) and expressi ng words Writetranslati When (b) since 𝒙𝒙 and 𝒚𝒚 are we treat numbers (a) 𝑥𝑥’s and 𝑦𝑦’s exactly how yet. Remember: We treat of value the do not know numbers we just

After this unit of be learning, you will able to:

L E

Disco Math ver s1

essions le 1 Algebraic Expr is ly. Examping triangle efficient Form of each s more . The area d scenario real-wor and squares

LEARNING INTENTIONS

unite.

C YC

Discover Maths

Examples

of each triangle is of triangles and squares. The area The shapes below are made up square is 𝑠𝑠 units squared. 𝑡𝑡 units squared and the area of each terms of 𝑠𝑠 and 𝑡𝑡. of each of the below shapes, in Write and expression for the area (c) (b) (a)

After this unit of learning, you will be able to: ●

bring together or

8

I O R

w e r P o i n t s,

or unite.

a variety of Unification in maths means using a single, skills from multiple topics to solve interconnected problem.

Chapter Contents

8

CHAPTER

48

ources res

To unify means to bring together

CHAPTER LEARNING INTENTIONS

Short answers are provided at the back of the book

PM 05/01/24 7:28

Po

What is Unification?

A key emphasis on unification throughout, with dedicated chapters, providing students effective opportunities to understand and practise unifying different mathematical skills developed in previous chapters

Auth Source: © Tony

MATHS 1

Exercise 4.3

Chapters are colour-coded by strand for ease of navigation

Example 1

Fun content including maths jokes and end-of-chapter ‘Just for Fun’ exercises is integrated throughout

J U N

Content is delivered in a simple and straightforward approach and sets the foundations of Junior Cycle Maths for all students

8

Time

ION 1 4 ALGEBRA 8 UNIFICAT CHAPTER CHAPTER

Chapter Contents

CHAPTER 8 UNIFICATION 1

Speed and

FREE Student Graph Copy provided for students to complete specific maths questions

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Topics are introduced to students in an appropriate and accessible way to ensure understanding of tricky concepts

A ‘Spotlight on Mathematicians Throughout History’ feature highlights the real-world relevance of maths

104

of means using a variety Unification in maths a single, le topics to solve skills from multip m. interconnected proble

Definitions, notes, examples for every question type and exercise are included, ensuring students’ seamless progression through the content

PowerPoints

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To unify means to

Well-structured and focused chapters with clear learning intentions highlighted at the beginning of each chapter

lems that l Solve prob lating involve calcu d, average spee time. distance and

The Import

Self-assessment opportunities allow students to assess and reflect on their learning, including anticipation exercises and reflection tasks at the beginning and end of chapters

interpret l Calculate, of and apply units . time measure and between l Convert of units rent diffe measure.

to know:

Algebraic Pyramids

STUDENT TEXTBOOK

of After this unit will be learning, you able to:

105 106 109 113 117 120 121

Exercise Anticipation ure Units of Meas

l Accelerator l Cruise Control l Turbo

5

LEARNING INTENTIONS

(mm) (mg), Millimetres Milligrams for length. (km) are used weight. are used for kilograms (kg)

What is Unification

UNIFICATION 1

CHAPTER

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Discover Maths 11

A new, highly accessible and engaging First Year Maths Book

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STEPHANIE MULLIGA N · BRENDAN GUILDEA MEGAN KELLY · TERESA CARROL L

K


J U N

MATH

T S FIRS

YEAR

r Discovse1 h t Ma LE R CYC

Discover

JUNIO

Maths

R CYC

LE MA

THS

FIRST

JUN

IOR

C YC

LE M

AT H

S

FIRS

T YE

F I R

S T

Y E A

R

A wide range of questions on each topic to help students develop their mathematical ability

AR

Stude nt Gra p

h Cop y

YEAR

Differentiated questions cater for students of varying abilities in the mixed-ability First Year classroom

JUNIO

Discover Maths 1 is a new First Year Maths book, written by a team of highly experienced, maths experts. It is the first in a three-book series designed to fully meet the needs of teachers and students, and the requirements of the Junior Cycle Maths specification. Written in a highly accessible manner, and addressing the challenges of the mixed-ability First Year classroom, the book contains hundreds of excellent and engaging questions to suit all abilities and support the transition from Primary School Maths. As well as a comprehensive range of resources to support the planning and teaching needs of teachers.

Name:

Exam-style questions are incorporated into the end-of-chapter revision exercises, and are graded into three levels to help you assess students’ mathematical knowledge, understanding and skills and allow you to set appropriate questions for your class:

Class:

R C YC

L E M AT

HS FIR

ST YEA

3x+

R

t

vid

DEA DAN GUIL N · BREN OLL IE MULLIGA· TERESA CARR STEPHAN KELLY MEGAN

or

o w e r Poi n

s,

e .

.P

urces so

EE digital re FR

eos and

m

The Discover Maths 1 package includes: l A Student Textbook l Free Student eBook l Free Student Graph Copy l A Teacher’s Resource Book - including editable planning documents and worked solutions l Free Digital Resources

er v o c s i D hs 1 Mat Maths BringsLife ! to

CE, MEASUREMENTS, DISTAN SPEED AND TIME ?

asurement

ts of Me without sical quantity t of any phy Measuremen meaningless. and kilometres be a unit would , centimetres (cm), metres (m) grams (g) and

What are Uni

nts

Chapter Conte

Time Working with d and Time Distance, Spee ises

Revision Exerc Just for Fun

Reflection Task

will need begin, you and decimals. with fractions and division. How to work multiplication operations: ● Number . time the tell ● How to

Before you

ts, Distance,

ance of Uni

Discover Maths

Ch 05.indd

4

UNIFICATION 1

DISCOVER

3𝑎𝑎𝑎𝑎

side, (a) Find the length of the unmarked in terms of 𝑎𝑎. 𝑐𝑐 for the (b) Write an expression in 𝑎𝑎 and perimeter of the shape.

Statistics and Probability

Number

complete (c) What topics did you unify to question?

Solution

Geometry

(a) 4 𝑎𝑎 − 𝑎𝑎

Algebra

3 𝑎𝑎

𝑐𝑐𝑐𝑐

𝑐𝑐 (b) 3 𝑎𝑎 + 5 𝑎𝑎 + 4 𝑎𝑎 + 𝑎𝑎 + 𝑐𝑐 + 5 𝑎𝑎 − 18 𝑎𝑎

4𝑎𝑎𝑎𝑎

this

𝑎𝑎𝑎𝑎 5𝑎𝑎𝑎𝑎 – 𝑐𝑐𝑐𝑐

5𝑎𝑎𝑎𝑎

Add up all the sides Simplify

167

166 21/11/23 8:07 PM 21/11/23 8:07 PM Discover Maths Ch 08.indd 166

Discover Maths Ch 08.indd 167

–4𝑝𝑝𝑝𝑝

5𝑝𝑝𝑝𝑝

leof2 6 Half Examp

–3𝑝𝑝𝑝𝑝

6𝑞𝑞𝑞𝑞

–𝑞𝑞𝑞𝑞

4𝑞𝑞𝑞𝑞

2+3

3

length of (a) Find the of 12 A third in terms of 𝑎𝑎.

ed side, 12 ___ the unmark 12 ÷ 3 or 3

on (b) Write an expressi

in 𝑎𝑎 and 𝑐𝑐 for the

Half of 𝑥𝑥

A third of 𝑥𝑥

le 1er of the shape. Examp perimet

5𝑎𝑎

𝑥𝑥2

𝑥𝑥__

𝑐𝑐𝑐𝑐

Solution (i) 𝑥𝑥 + 3

(ii) 𝑥𝑥 − 2

(v) 𝑥𝑥 + 2𝑥𝑥 Simplify 3𝑥𝑥

C YC

LE M

AT H S

FIRS

T YE

AR

h Cop y

𝑥𝑥(𝑥𝑥)

𝑥𝑥 + 𝑦𝑦

𝑦𝑦

2

𝑥𝑥__

3

𝑎𝑎𝑎𝑎 5𝑎𝑎𝑎𝑎 – 𝑐𝑐𝑐𝑐

there 4𝑎𝑎𝑎𝑎 “In terms of 𝑥𝑥” means your answer. should be an 𝑥𝑥 in

e this you unify to complet 5𝑎𝑎𝑎𝑎 didage. years of is 𝑥𝑥topics What (c) Emma in terms of 𝑥𝑥. Write James’ age, question? older than Emma. (i) James is 3 years in 𝑥𝑥 for Molly’s age. Write an expression younger than Emma. . (ii) Molly is 2 years age on her next birthday on in 𝑥𝑥 for Emma’s Solution up all the sides Add (iii) Write an expressi 𝑐𝑐 − . 𝑎𝑎 𝑥𝑥 5 + terms of + 𝑐𝑐 in + 𝑎𝑎age 𝑎𝑎 + 4 𝑎𝑎Jill’s + 5Write (b) 3 𝑎𝑎 age. 𝑎𝑎 − twice Emma’s 4 𝑎𝑎is (a) Simplify (iv) Jill your answer 𝑎𝑎 and Jill’s age? Write 18Emma 3 𝑎𝑎 is the sum of (v) What form. simplest number 𝑥𝑥, in its and ofalgebra termser, Perimet (c) in

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TEACHER’S RESOURCE BOOK

Discover Maths 1 Teacher’s Resource Book has everything a teacher needs to successfully teach and plan First Year Junior Cycle Maths and help you save time: l Comprehensive editable planning documents l Printed fully worked solutions l Guidance on the Junior Cycle Maths specification l Additional blank templates

E di FRE gital

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TEACHER’S RESOURCE BOO

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JUNIOR CY CLE MATHS FIRST YEAR

Discover Maths 1 J U N I O R C YC

Discover Maths 21

Discover Maths 31

ORDINARY LEVEL HIGHER LEVEL will complete the package and be available in Spring 2025

L E M AT H S

FIRST YEAR

3x+ vi

(c) Perimeter, algebra and number

The sum of 2 and

–2𝑦𝑦𝑦𝑦

Think-Pair-Share, Class Discussion, Class Activity tasks and questions encourage individual inquiry, pair-work and whole-class learning

Two squares and six triangles

Example 2

The Importance of Unification

unification of skills is In real-world applications of maths, for example make plans on essential. Marketing agencies and services. Online how to effectively promote products to track what you marketing uses computer algorithms advertisements to your are watching and reading to tailor are written using algebra and personal interests. Algorithms will then be analysed purchases basic arithmetic. Views and such as the Venn diagrams and results displayed on graphs we saw in Chapter 1 Sets.

Three squares plus one triangle One square and four triangles

5𝑥𝑥𝑥𝑥 applicatio 𝑥𝑥𝑥𝑥 of real-life web maths, review of this with article and discuss your class: diousguy.com/ https://stu 12𝑦𝑦𝑦𝑦 atics/ examples-of-mathem 5𝑦𝑦𝑦𝑦

JUN

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(c) 2 𝑠𝑠 + 6 𝑡𝑡

5𝑥𝑥𝑥𝑥

7𝑝𝑝𝑝𝑝

triangles One square and four six triangles 2 squares and 5(5) or 5

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(b) 𝑠𝑠 + 4 𝑡𝑡

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Three 𝑥𝑥’s

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To explore more examples of real-life applications of maths, review of this web article and discuss with your class: https://studiousguy.com/ examples-of-mathematics/

3𝑥𝑥𝑥𝑥

2𝑥𝑥𝑥𝑥

3(2)

2 less than 𝑦𝑦

Solution plus one triangle + 𝑡𝑡 6 Three squares 5(6) (a) 35𝑠𝑠 times

on of skills is ions of maths, unificati make plans on In real-world applicat Statistics and g agencies for example essential. Marketin s and services. Online 9. Number Probability promote product how to effectively track what you 8. ms to18𝑛𝑛𝑛𝑛 20𝑥𝑥𝑥𝑥 computer algorith 7𝑦𝑦𝑦𝑦 7. g uses ements to your marketin to tailor advertis 10𝑛𝑛𝑛𝑛 reading and g 𝑦𝑦𝑦𝑦 14𝑥𝑥𝑥𝑥 are watchin using algebra and 2𝑦𝑦𝑦𝑦 . Algorithms are written 6𝑛𝑛𝑛𝑛 be analysed try Geome personal interests then will and purchases diagrams arithmetic. Views basic 4𝑥𝑥𝑥𝑥 such as the Venn graphs Algebra on d and results displaye 1 Sets. we saw in Chapter 12. 11. 10.

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Turbo Exercise

167 171 174 178

Apply your combined skills to real-world problem solving.

167 171 174 178

3𝑥𝑥𝑥𝑥

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d ● Apply your combine skills to real-world it. the two bricks below is found by adding problem solving. bricksin the pyramid Each Example bricks. fill in all the missing each pyramid Exerciseand outControl Copy Cruise 3. 2. tor Exercise Accelera 1. To explore more examples Turbo Exercise 7𝑥𝑥𝑥𝑥 ns of 2𝑥𝑥𝑥𝑥 4𝑥𝑥𝑥𝑥 𝑎𝑎𝑎𝑎 you will need to know: 𝑎𝑎𝑎𝑎 you𝑎𝑎𝑎𝑎 begin, Before chapters. covered in previous ● All of the material requires atical problem-solving ● Real-world mathem 5. of skills. tion combina a 4. using

Algebra

Number

Combine a variety in of skills obtained previous chapters.

T H S

L E M AT H S F I

Accelerator Exercise

Combine a variety of skills obtained in previous chapters.

M A

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Cruise Control Exercise

triangles of allow us to express made up can . below are e: Algebra s. 𝑠𝑠 units squared The shapes is situation as a languag square ld Algebra of each g real-wor analysin and the forarea of 𝑠𝑠 and 𝑡𝑡. squared ly useful 𝑡𝑡 units is incredib This below shapes, in terms area of each of the on for algebra: to the (c) and expressi ng words Writetranslati When (b) since 𝒙𝒙 and 𝒚𝒚 are we treat numbers (a) 𝑥𝑥’s and 𝑦𝑦’s exactly how yet. Remember: We treat of value the do not know numbers we just

After this unit of be learning, you will able to:

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essions le 1 Algebraic Expr is ly. Examping triangle efficient Form of each s more . The area d scenario real-wor and squares

LEARNING INTENTIONS

unite.

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Examples

of each triangle is of triangles and squares. The area The shapes below are made up square is 𝑠𝑠 units squared. 𝑡𝑡 units squared and the area of each terms of 𝑠𝑠 and 𝑡𝑡. of each of the below shapes, in Write and expression for the area (c) (b) (a)

After this unit of learning, you will be able to: ●

bring together or

8

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or unite.

a variety of Unification in maths means using a single, skills from multiple topics to solve interconnected problem.

Chapter Contents

8

CHAPTER

48

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To unify means to bring together

CHAPTER LEARNING INTENTIONS

Short answers are provided at the back of the book

PM 05/01/24 7:28

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What is Unification?

A key emphasis on unification throughout, with dedicated chapters, providing students effective opportunities to understand and practise unifying different mathematical skills developed in previous chapters

Auth Source: © Tony

MATHS 1

Exercise 4.3

Chapters are colour-coded by strand for ease of navigation

Example 1

Fun content including maths jokes and end-of-chapter ‘Just for Fun’ exercises is integrated throughout

J U N

Content is delivered in a simple and straightforward approach and sets the foundations of Junior Cycle Maths for all students

8

Time

ION 1 4 ALGEBRA 8 UNIFICAT CHAPTER CHAPTER

Chapter Contents

CHAPTER 8 UNIFICATION 1

Speed and

FREE Student Graph Copy provided for students to complete specific maths questions

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Topics are introduced to students in an appropriate and accessible way to ensure understanding of tricky concepts

A ‘Spotlight on Mathematicians Throughout History’ feature highlights the real-world relevance of maths

104

of means using a variety Unification in maths a single, le topics to solve skills from multip m. interconnected proble

Definitions, notes, examples for every question type and exercise are included, ensuring students’ seamless progression through the content

PowerPoints

this video on Check out metric and imperial vs with your and discuss .ie/eqqu class. edco

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To unify means to

Well-structured and focused chapters with clear learning intentions highlighted at the beginning of each chapter

lems that l Solve prob lating involve calcu d, average spee time. distance and

The Import

Self-assessment opportunities allow students to assess and reflect on their learning, including anticipation exercises and reflection tasks at the beginning and end of chapters

interpret l Calculate, of and apply units . time measure and between l Convert of units rent diffe measure.

to know:

Algebraic Pyramids

STUDENT TEXTBOOK

of After this unit will be learning, you able to:

105 106 109 113 117 120 121

Exercise Anticipation ure Units of Meas

l Accelerator l Cruise Control l Turbo

5

LEARNING INTENTIONS

(mm) (mg), Millimetres Milligrams for length. (km) are used weight. are used for kilograms (kg)

What is Unification

UNIFICATION 1

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Discover Maths 11

A new, highly accessible and engaging First Year Maths Book

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STEPHANIE MULLIGA N · BRENDAN GUILDEA MEGAN KELLY · TERESA CARROL L

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JUNIOR CYCLE MATHS FIRS T YEAR

Discover Maths 11 Digital Resources Teachers and students can access the Discover Maths 1 interactive e-book at www.edcolearning.ie, plus a bank of free digital resources, including:

› Editable chapter summary PowerPoints to aid revision and exam preparation › Editable worked solutions PowerPoints for each chapter, with step-by-step workings for questions

Author-presented demonstration videos of worked examples covering tricky topics

Discover Maths 1 J U N I O R C YC L E M AT H S

FIRST YEAR

A new, highly accessible and engaging First Year Maths Book for the Junior Cycle

Quizlet activities to reinforce and revise textbook content E di FRE gital

vi

Editable units of learning and templates to support planning

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TEACHER’S RESOURCE BOO K re

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Customised and engaging GeoGebra activities

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› › › › ›

JUNIOR CYCLE MATHS FIRS T YEAR

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Links to useful websites

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JUNIOR CY CLE MATHS FIRST YEAR

Discover Maths

Discover Maths 1 J U N I O R C YC

L E M AT H S

FIRST YEAR

J U N I O R C YC

C YC

L E

M AT

H S

OR C

YC L E

M AT H

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FIRS

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F I R

Discov Maths er

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RST YEAR

Additionally, their in-depth experience includes correcting State Examinations and providing online tuition in Maths education to Junior Cycle students nationwide. The author team has also been instrumental in teaching mathematics to Junior Cycle students from 23 Deis schools, showcasing their dedication to inclusive education as part of the Trinity Access Programme.

I O R

JUNI

L E M AT H S F I

Discover Maths 1 is written by a team of Maths teaching experts, all with extensive experience as practising secondary school Maths teachers. With a combined wealth of diverse experience teaching in various educational settings, the authors also design and conduct seminars on mathematical teaching methods for teachers across Ireland.

J U N

Discover Maths 11 Brings Maths to Life !

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STEPHANIE MUL LIGAN · BRENDAN GUILDEA MEGAN KELLY · TERESA CARROLL

Name: Class:

STEPHANIE MULLIGAN · BRENDAN GUILDEA MEGAN KELLY · TERESA CARROLL .

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s,

Please contact your Local Edco Representative to book a presentation and request a sample copy, Ph: 01-4500611, Email: info@edco.ie, Website: www.edcopublications.ie

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The Educational Company of Ireland

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The Educational Company of Ireland

2024


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