Yr 6 eBook "Bring It On!" Book 1: Mental Strategies – Professor Pete's Classroom
Back-to-school 2019: Welcome! Yr 6 eBook "Bring It On!" Book 1: Mental Strategies

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Do you need a system to teach Mental Strategies?

Are you frustrated at the huge number of rote-learning based worksheets online?

We feel the same way! So we designed a new set of eBooks to address the needs of students to learn number facts and to develop mathematical thinking, in a way that developed their understanding of the numbers and how they relate to one another. Unlike Any Other Worksheets

Our system focuses on supporting students to:

• become familiar with numbers and their characteristics
• recognize patterns in sets of number facts
• learn to use efficient strategies to derive number facts not yet learned
• gradually increase their speed of recall
• construct valid, efficient mental pictures of numbers and operations

Here is a typical sample page from our "Developing Fluency" series of eBooks, showing the features that set our eBooks apart from all the rest: Special Note to Members:

As a member at profpete.com, you have access to the entire library of worksheets from the 20 eBooks in this Developing Number Fluency series.

If you would like the added convenience of having the worksheets organised into complete eBooks, members are offered a discount price which is sent to you via email. Please contact us via support@profpete.com for more details.

This series of eBooks is organised in such a way that you just have to schedule their use into your program, keep a record of your students' progress, and that's all.

Each eBook contains sufficient content for daily practice for 10 weeks, starting with the simplest facts and building week by week until all the required facts have been covered.

The strategies contained in this eBook ("Bring It On!" Book 1: Mental Strategies) are as follows:

• Week 1: Multiplying by 10, 100 or 1000
• Week 2: Dividing by 10, 100 or 1000
• Week 3: Doubling 2-digit & 3-digit nos
• Week 4: Halving 2-digit & 3-digit nos
• Week 5: Adding "nice" numbers
• Week 6: Adding near 100
• Week 7: Subtracting near 100
• Week 8: Multiplying 2- & 3-digit nos x5
• Week 9: Multiplying larger nos x50, x25
• Week 10: All revision

eBook Contents:

• Advice for Teachers: Teaching Strategies
• Classroom worksheets: 10 sets of 4 daily practice worksheets
• Checkup worksheets: 5 checkup assessment sheets, for use after each 2 weeks
• Homework worksheets: 10 weekly practice sheets with advice for parents

eBooks in the "Bring It On!" series:

1. Bring It On! Book 1: Mental Strategies (this book)
2. Bring It On! Book 2: All Operations Advanced Revision
3. Bring It On! Book 3: Fractions
4. Bring It On! Book 4: Percentages

Curriculum Alignment:

These resources are aligned with the following curriculum documents:

Australia:

Year 4
• Investigate equivalent fractions used in contexts (ACMNA077)
• Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)
Year 5
• Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098)
• Compare and order common unit fractions and locate and represent them on a number line (ACMNA102)
• Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103)
• Recognise that the place value system can be extended beyond hundredths (ACMNA104)
Year 6
• Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122)
• Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)
• Compare fractions with related denominators and locate and represent them on a number line (ACMNA125)
• Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)
• Multiply and divide decimals by powers of 10 (ACMNA130)
• Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127)
• Make connections between equivalent fractions, decimals and percentages (ACMNA131)
• Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132)
Year 7
• Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)
• Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line (ACMNA152)
• Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155)
• Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157)
• Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. (ACMNA158)

USA Common Core:

These resources includes advanced worksheets which cover a range of topics, for students who have memorized all the number facts for the four operations. These eBooks may be used at a range of grade levels, starting in Grade 4.

Grade 4 Number and Operations— Fractions
Extend understanding of fraction equivalence and ordering.

• Compare two fractions with different numerators and different denominators.
• Record the results of comparisons with symbols >, =, or <.

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

• Add  and  subtract  mixed  numbers with like denominators.

Grade 5 Operations & Algebraic Thinking
Write and interpret numerical expressions

• Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
• Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

Use equivalent fractions as a strategy to add and subtract fractions

• Add  and  subtract  fractions  with  unlike denominators  (including  mixed  numbers)  by replacing  given  fractions  with  equivalent fractions  in  such  a  way  as  to  produce  an equivalent sum or difference of fractions with like denominators.

Grade 5 Number and Operations in Base Ten
Understand the place value system

• Read,  write,  and  compare  decimals  to thousandths.

Grade 6 Ratios and Proportional Relationships
Understand ratio concepts and use ratio reasoning to solve problems

• Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.

UK National Curriculum:

Year 4

Fractions
Pupils should be taught to:

• identify and name equivalent fractions of a given fraction with denominator not greater than 12
• write the equivalent fraction of a fraction given the denominator or the numerator
• reduce fractions to their simplest form
• add and subtract two fractions with common denominators within one whole

Decimals
Pupils should be taught to:

• compare numbers with the same number of decimal places up to 2 decimal places
• find the effect of dividing a 2-digit number by 10 and 100, identifying the value of the digits in the answer as units, tenths and hundredths
• recognise and write decimal equivalents to ¼, ½, ¾ and any number of tenths and hundredths.

Year 5

Pupils should be taught to:

• add and subtract numbers mentally with increasingly large numbers.
• Multiplication and division

Pupils should be taught to:

• multiply and divide numbers by 10, 100 and 1000

Fractions
Pupils should be taught to:

• compare and order fractions with different denominators
• recognise mixed numbers and improper fractions and convert from one form to the other
• add and subtract fractions with the same denominator and related fractions;, write mathematical statements that exceed 1 as a mixed number.

Decimals
Pupils should be taught to:

• read and write decimal numbers as fractions
• recognise and use thousandths and relate them to tenths, hundredths and 100 decimal equivalents

Percentage
Pupils should be taught to:

• recognise the per cent symbol (%) and understand that per cent relates to “number of parts per hundred” for example that 100% represents a whole quantity and 1% is 1/100 , 50% is 50/100 , 25% is 25/100, etc.
• write simple fractions as percentages and decimals as percentages (e.g. ½ = 50% = 0.5).

Testimonials

Here are what other users of these eBooks have told us:

"The children are really excited to see that their accuracy is becoming much better, and that their time is also dropping.

It’s great for [students in the lower maths group] to be able to see that we can really improve their basic number facts. And as we go through the booklet the number facts increase in difficulty, but they’re not scared to try it, because we’re doing it little bit by little bit."

Lauren O'Brien, teacher

"[The children] are happy to get the work done, and they are very excited about beating their personal time.

Lots of the children tell me when they’ve beaten their personal times, and they love calling out ‘Done!’.

It’s really exciting, it’s just a positive way of teaching maths, and they don’t realise that they are actually having fun when they’re doing their number facts."

Liz White, teacher

"I purchased your program at Brisbane Quedrex last year and it is fabulous! My children just love working through the sheets and their skills are growing every day."

- Leanne Barron, teacher

"I have just ordered the “Ten minutes a Day Level 2” worksheet bundle.

We will be continuing this program with our daughter as we can really notice the improvement in her math.

Last year she was failing miserably so we repeated her in grade three and have been doing your worksheets with her at home everyday. She bought home her report card today and was very proud of her self for getting a B in maths."

- Naomi Behne, parent

Money-Back Guarantee We want you to be totally delighted with your purchase. If for any reason you find that this eBook does not suit your needs, email us within 14 days for a full refund.

(Note that this offer does not apply to members, who have access to the contents of the eBook inside the membership site.)