Nayland College Mathematics; More than just a school  
 
 

 

 
 
 

Year 10 Number

Number home | BEDMAS | Integers | Multiples, Factors & Primes | Powers & Roots | Rounding | Standard Form | Fractions | Percentages 1 | Percentages 2 | Ratio & Proportion | Revision

Unit Overview

Year 10 Number involves a review of numeracy, BEDMAS, Factors, Multiples, Primes, Powers, Roots, Rounding to decimal places (dp) & significant figures (sf), Standard Form, Fractions, Decimals, Percentages % of, % increase & decrease, Ratios

Useful Website: http://www.bbc.co.uk/schools/revisewise/maths/number/

Sudoku http://www.funbrain.com/sudoku/Sudoku.html

Puzzles: Scales

Digits 1 to 9

 

I can do's

Achieve

  • Round numbers to a specified number of decimal places
  • Round numbers to a specified number of significant figures
  • Convert numbers in standard form to ordinary form & vice versa
  • Calculate the value of square roots using a calculator.
  • Solve integer problems using a calculator
  • Solve fraction problems using a calculator
  • Solve practical problems using decimals
  • Express one quantity as a percentage of another
  • Increase/decrease by a given percentage.
  • Form and simplify ratios
  • Share a number in a given ratio

Merit

  • Use numbers in standard form in practical contexts
  • Round numbers sensibly in a practical context
  • Solve practical problems using fractions and percentages (including markup, discount and GST).
  • Solve integer problems without using a calculator using the correct order of operations
  • Solve ratio problems in a practical context.

Excellence

  • Solve standard form problems using a calculator
  • Estimate sensibly to check accuracy of results
  • Solve complicated number problems requiring several steps and communicate the results sensibly.
  • Find the GST inclusive and exclusive price

 

Week

   
1

 Introduction, Magic Squares, mental arithmetic, making magic squares

Lesson Notes: Word Doc

Images:

Activities: p11 Ex 1.10
                   p7 Ex 1.4     to   p11 Ex 1.9

Links: Durers Square
         Achievement criteria
         Lesson List
         Weigh it up
         5 x 5c puzzle

HW:

Times Tables

Order of operations and using BEDMAS
Integers: review, manipulation, combined with BEDMAS

Lesson Notes: Word Doc

Images:

Activities: p2 Ex 1.1
                   p13 Ex 1.11     to     p17 Ex 1.16

Links:  BEDMAS | Integers

HW:

 

 Multiples & Factors & Prime Numbers
Investigations

Lesson Notes: Word Doc

Images:

Activities: p4 Ex 1.2
                   p6 Ex 1.3

Links: Multiples & Factors & Prime Numbers

HW:

Sieve of Eratosthenes – Relate number patterns with visual patterns. http://nlvm.usu.edu

 Powers & roots, calculator use.
Reciprocal
Extn: fractional powers

Lesson Notes: Word Doc

Images:

Activities: p20 Ex 1.17
                   p21 Ex 1.18

Links: Powers & roots

HW:

2

 Rounding to decimal places (dp) &
Significant Figures (sf)

Lesson Notes: Word Doc

Images:

Activities: p60 Ex 4.1 & 4.2
                   p62 Ex 4.3

Links: Rounding

HW:

 Powers of 10,
Converting numbers into Standard Form

Utube Powers of ten

Lesson Notes: Word Doc

Images:

Activities: p60 Ex 4.4    to    p65 Ex 4.7

Links: Standard form | Size of numbers

HW:

 

 Converting Standard Form to Normal Numbers, Using a Calculator EXP function and powers

Lesson Notes: Word Doc

Images:

Activities: p66 Ex 4.8    to    p65 Ex 4.12

Links:

HW:

 Review of Fractions:
Add, Subtract, multiply, Divide, Mixed numbers, Recurring decimals.
Extn: convert recurring decimals to fractions

Lesson Notes: Word Doc

Images:

Activities: p23 Ex 2.1     to     p33 Ex 2.12
                  (not 2.4, 2.10)

Links: Fractions | Find Grammy
           Fractions EXCEL demo

HW:

3

 Convert between fractions, decimals, percentages

Lesson Notes: Word Doc

Images:

Activities: p35 Ex 2.13 & 2.14
                   p37 Ex 3.1 & 3.2

Links:  fractions, decimals, percentages

HW:
Percentages – Discover relationships between fractions, percents, and decimals.http://nlvm.usu.edu

 Fraction of amounts
Finding the percentage of an amount

Lesson Notes: Word Doc

Images:

Activities: p27 Ex 2.4
                   p31 Ex 2.10
                   p39 Ex 3.4 & Ex 3.5
                   p41 Ex 3.6

Links: % of

HW:

 

 Finding the % change
Extn: Finding original amount

Lesson Notes: Word Doc

Images:

Activities: p38 Ex 3.3
                   p43 Ex 3.7

Links: % change

HW:

 Increase & decrease by %
GST amount, Adding on GST, Subtracting GST,
Extn: Finding the pre GST amount.

Lesson Notes: Word Doc

Images:

Activities: p44 Ex 3.8
                   p46 Ex 3.9
                   p48 Ex 3.10

Links: Increase & decrease by %

HW:

4

 Profit, Loss & Interest payments

Lesson Notes: Word Doc

Images:

Activities: p49 Ex 3.11
                   p50 Ex 3.12
                   p52 Ex 3.13

Links:

HW:

 Ratio: Simplifying a ratio
Splitting an amount into a ratio

Lesson Notes: Word Doc

Images:

Activities: p53 Ex 3.14
                   p55 Ex 3.15
                   p56 Ex 3.16

Links: Ratio

HW:

 

 Proportion & rates

Lesson Notes:

Images:

Activities: p57 Ex 3.17

Links: Proportion & rates  | Revision

HW:

 

Number Practice A | Soln
Number Practice B | Soln

Investment game

Number Assessment

 

 

 

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