10C1 Mathematics
Weekly outline
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NAU MAI KI TE 10C1 PANGARAU
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Admin Day conferences
Touching base with parents and students
LA introduction to Yr 7 parents and students, initial checklist
Yr 10's role in assimilating Yr 7's into the MHJC way - tuakana-teina
DEEP Selections - Students start looking at options
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Kia ora 10C1
TERM 1 WEEK 2
Welcome Back Coast Whanau Seniors!
Hope you had an enjoyable and restful break.
I am looking forward to an exciting and fulfilling year with all of you. Make the most of the opportunities that come your way and demonstrate the MHJC values through positive role modelling and constructive leadership.
CONTEXT - In Aotearoa we face challenges and take risksSuccess Criteria: I can/have...
- Understand Maori numbers in relation to place value (Maori world view)
- Identify prime numbers, list factors and multiples of numbers and solve related contextual problems
Activities:
- Warm up - Times tables Bingo
- Counting in Maori, writing numbers in Maori and converting numbers written in Maori to numerical form
- Place value exercise - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Numbers_In_Words.asp
- What are multiple, factors and prime factors? Explanation of concept
- Multiples and Factors Video - https://www.youtube.com/watch?v=rUrLuTMq-sw
- Factors video - https://www.youtube.com/watch?v=yJ-T8z2-Zg4
- Practice questions (Differentiation)
- Extension - Practical applications of factors and multiples
- Online exercise for Prime factorisation - https://www.transum.org/Maths/Activity/Prime/
Homework:
Maths Buddy (Differentiation)
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Kia ora 10C1
TERM 1 WEEK 3
Success Criteria: I can/have...
- Round a number to a given significant figure
- Confidently convert between ordinary and standard form
- Find power and roots of numbers
Activities:
- Warm up - Weekly revision task
- Explanation of skills and concepts (rounding to a significant figure, powers and roots of numbers) with examples (Whole class, group or individual teaching as required)
- Rounding to significant numbers video - https://www.youtube.com/watch?v=-X0amVzMKFo
- Online practice for rounding to significant figures - https://www.transum.org/software/SW/Starter_of_the_day/Students/Rounding.asp?Level=4
- Standard form/scientific notation - A way to write very large and very small numbers(Science integration - size of single celled organisms - bacteria, fungi, paramecium, viruses etc sizes of celestial bodies, planets, sun, galaxies etc)
- Video - Converting to and from standard form - https://www.youtube.com/watch?v=ceneATH5EZ8
- Find out the economic cost of damage from the 2023 floods, Economic cost of covid 19 recovery plan and convert it into standard form. Economic cost of covid 19 recovery plan (context)
- Powers and roots - https://www.youtube.com/watch?v=B4zejSI8zho
- Practice questions
- Extension - Contextual applications (Differentiation)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING rounding numbers to a certain number of significant figures
- We are EXPLORING the concept of powers and roots
- We are EXPLORING analysing and writing very large/small numbers using standard form/Scientific notation.
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FOCUS / ARONGA learning intentions:
- We are FOCUSING on describing and comparing graphs.
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding appropriate data measures such as mean, mode, median and range.
- We are EXPLORING displaying comparative samples in appropriate displays such as back to back stem and leaf graphs and double box and whisker plots.
Kia ora 10C1
TERM 1 WEEK 4
Success Criteria: I can/have...
- Draw a box and whisker plot from a data set
- Determine the 5 number summary from a box and whisker plot
- Display two data sets using back to back stem and leaf plots and double box and whisker plots
- Describe, analyse and interpret data sets in comparative displays
Activities:
- Warm up - S1 - weekly revision in groups(differentiation), S2 & 3 - Maori numbers & Numeracy skills
- What is a Box and whisker plot?
- Box and Whisker plots - Five number summary, how to draw a box and whisker plot using the 5 number summary, simple interpretations
- Video - https://www.google.com/search?q=how+to+make+a+box+and+whisker+plot+video&oq=video+on+howto+draw+a+box+and+whisker+plot&aqs=chrome.1.69i57j0i22i30l2.24215j0j7&sourceid=chrome&ie=UTF-8&safe=active&ssui=on#kpvalbx=_cfAfYpzZOPbSz7sPpIeNoAI16
- MHOL - Skill Practice Questions(Differentiation)
- Contextual Problem solving
- Interpreting and analyzing box and whisker plots(Extension)
Homework:
Maths Buddy(Differentiated)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding appropriate data measures such as mean, mode, median and range.
- We are EXPLORING displaying comparative samples in appropriate displays such as back to back stem and leaf graphs and box and whisker plots.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on describing and comparing graphs.
Kia ora 10C1
TERM 1 WEEK 5
Success Criteria: I can/have...
- Display two data sets by constructing double box and whisker plots
- Describe, analyse and interpret data sets using comparative displays
Activities:
- Warm up - https://www.transum.org/Maths/Exercise/Box_Plots.asp?Level=2
- Warm up - https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/e/interpreting-quartiles-on-box-plots
- Review of features of a box and whisker plot
- How can the 5 point summary be used to describe and analyse a data set
- Extension - Interpretation of results displayed by a box and whisker plot using features of the graph and percentages - https://www.nagwa.com/en/worksheets/898146506908/
- MHOL Practice Task
- Video on comparing box and whisker plots - https://www.youtube.com/watch?v=ZpXa4-yHtbg
- Comparing double box and whisker plots (Extension)
- Analysing a box and whisker plot - https://www.simplypsychology.org/boxplots.html
Homework:
Maths Buddy (Differentiation)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding appropriate data measures such as mean, mode, median and range.
- We are EXPLORING displaying comparative samples in appropriate displays such as back to back stem and leaf graphs and double box and whisker plots.
- We are EXPLORING interpreting graphs.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on describing and comparing graphs.
Kia ora 10C1
TERM 1 WEEK 6
Success Criteria: I can/have...
- Display two data sets by constructing double box and whisker plots
- Describe, analyse and interpret data sets using comparative displays
Activities:
- Warm up - Numeracy practice
- Review of features of a box and whisker plot
- How can the 5 point summary be used to describe and analyse a data set
- Extension - Interpretation of results displayed by a box and whisker plot using features of the graph and percentages - https://www.nagwa.com/en/worksheets/898146506908/
- Video on comparing box and whisker plots - https://www.youtube.com/watch?v=ZpXa4-yHtbg
- Comparing double box and whisker plots (Extension)
- Analysing a box and whisker plot - https://www.simplypsychology.org/boxplots.html
- Comparing distributions - https://corbettmaths.com/wp-content/uploads/2019/07/Box-Plots-pdf.pdf
- Introduce NZ grapher - Using online tools to plot graphs and generate summaries
- Introduce PPDAC inquiry cycle
- Practice plotting graphs on NZ grapher with provided data sets
- Practice interpreting and analysing results
- Practice for comparing box and whisker plots - https://flexbooks.ck12.org/cbook/ck-12-basic-probability-and-statistics-concepts/section/8.5/primary/lesson/double-box-and-whisker-plots-bsc-pst/
- Skewness and outlier practice - https://www.youtube.com/watch?v=L68iieC2Vgc
Homework:
Maths Buddy
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Kia ora 10C1
TERM 1 WEEK 8
Success Criteria: I can/have...
- Construct online graphs using NZ Grapher
- Analyse the summary statistics
- Draw comparisons from the double box plots and dot plots
Activities:
- Statistical measures/tools to describe, analyse and compare data
- Mock assessment
- Compare analysis and findings
- Clarify doubts
- Practice with different sets of data
Homework:
Revise and prepare for assessment
Maths BuddyPLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to construct online graphs for a data set
- We are PLANNING to use the PPDAC statistical inquiry cycle so that we can analyse results, draw conclusions and share our findings
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Kia ora 10C1
TERM 1 WEEK 9
Success Criteria: I can/have...
- Describe, analyse and interpret data sets using comparative displays
Activities:
- Revisit work from WK 5 and 6
- Revise making a comparative analysis from a double box and whisker plot
- Pointers for analysis of a box and whisker graph - https://www.simplypsychology.org/boxplots.html
- Interpretation of results displayed by a box and whisker plot using features of the graph and percentages - https://www.nagwa.com/en/worksheets/898146506908/
- Contextual applications (Extension) - Making an inference using shift and writing a conclusion and informal inference for a statistical investigation
Homework:
Revision of tasks from WK 6, 7 and 8 for assessment
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING interpreting and analysing graphs using summary statistics
FOCUS / ARONGA learning intentions:
- We are FOCUSING on analysing comparative samples displayed by a double box and whisker plot
- We are FOCUSING describing and commenting on data sets using features of a graph
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Kia ora 10C1
TERM 1 WEEK 10
Success Criteria: I can/have...
- Draw, interpret and analyze box and whisker plots
- Compare double/parallel box and whisker plots
Activities:
- Assessment week
- Introduce assessment and rubric
- Practice assessment
- Clarify doubts/questons
- Complete assessment
Homework:
Maths Buddy (Differentiation)
PLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to construct and analyze a box and whisker graph so that we can make an inference
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Kia ora 10C1
TERM 1 WEEK 11
Success Criteria: I can/have...
- Determine chance probabilities
- Define a sample space
- Illustrate a sample space on a tree diagram
- Determine complimentary events
- Determine experimental probabilities
Activities:
- Revision of probability basics
- Explanation of new skills and concepts(Whole class, group or individual teaching as required)
- Practice questions
- MHOL Tasks
- Complementary probability video - https://www.youtube.com/watch?v=xyjFS1PdTpU
- Contextual problems
Homework:
Maths BuddyEXPLORE / TŪHURA learning intentions:
- We are EXPLORING chance probability
- We are EXPLORING finding the connection between the probability of an event and the probability of its complement
- We are EXPLORING determining experimental probabilities
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Kia ora 10C1
TERM 2 WEEK 1
Context - Stand up, stand out
Success Criteria: I can/have...
- Round to given decimal places
- Add, subtract, multiply and divide proper, improper and mixed fractions
- Find the fraction of a quantity/amount
Activities:
- Warm up - Rounding decimals - https://www.transum.org/software/SW/Starter_of_the_day/Students/RoundingWN.asp?Level=1
- How to round to decimal places and sensible rounding
- Calculator skills with fractions and decimals - https://www.transum.org/software/SW/Starter_of_the_day/Students/Fractions.asp
- Concept of a whole
- Solving word problems involving fractions and decimals
- Practice questions - MHOL Tasks
- Introduce Banqer High - Financial literacy programme - Take the introductory quiz
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
Kia ora 10C1
TERM 2 WEEK 2
Success Criteria: I can/have...
- Understand and use percentages
Activities:
- Warm up - percentages https://www.transum.org/Maths/Activity/Fractions/Particular.asp?Level=1
- Finding the percentage of a quantity - https://www.transum.org/software/SW/Starter_of_the_day/Students/Percentages.asp
- Calculating percentage discounts - simple application of percentages in day to day life
- Profit and loss calculations with cost price and selling price
- Profit and loss as a percentage of the cost price
- Increasing and decreasing by a percentage? What does it mean? The multiplier method
- Practice skill practice(differentiated)
Homework:
Maths Buddy (Differentiation)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
Kia ora 10C1
TERM 3 WEEK 3
Success Criteria: I can/have...
- Understand and use percentages
Activities:
- Warm up - https://www.transum.org/Maths/Exercise/Express_As_A_Percentage.asp
- Percentage switch - https://www.transum.org/Maths/Exercise/Percentages/Switch.asp
- Calculating percentage discounts - simple application of percentages in day to day life
- Profit and loss calculations with cost price and selling price
- Profit and loss as a percentage of the cost price
- Increasing and decreasing by a percentage? What does it mean? The multiplier method
- Practice skill practice(differentiated)
Homework:
Maths Buddy (Differentiated)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages
- We are EXPLORING interpreting and using percentage rates to calculate GST and discounts
Kia ora 10C1
TERM 2 WEEK 4
Success Criteria: I can/have...- Understand and use rates
- Calculate GST
- Calculate discounts
Activities:
- Warm up - https://www.transum.org/Software/Pentransum/Topic_Test.asp?ID_Topic=28
- What is GST? Goods and Services Tax
- Understanding GST with an example
- Changes in GST rate overtime - Impact on consumers(Be aware so you can stand up to something that you think might be unfair)
- Calculating GST - Skill practice
- GST contextual problems (Extension)
- What is mark up?
- Calculating and solving mark up word problems (Extension)
Homework:Maths Buddy (Differentiated)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
- We are EXPLORING interpreting and using rates in real life situations.
Kia ora 10C1
TERM 2 WEEK 5
Success Criteria: I can/have...
- Understand and use rates
- Calculate exchange rates
Activities:
- Revision of discounts, percentage increase or decrease and GST - A Tax
- What are exchange rates? When and what are they used for?
- Understand that monetary exchange rates change constantly
- How do we convert money in any currency to its equivalent in NZ dollars by using exchange rates
- Video on currency conversions - https://www.youtube.com/watch?v=WDRhdtR96E0
- Practice questions
- EP on exchange rates
- Solving word problems involving exchange rates
Homework:
Maths Buddy (Differentiated tasks)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
- We are EXPLORING interpreting and using rates and ratios in real life situations.
- We are EXPLORING ratios and understanding calculations involving ratios.
Kia ora 10C1
TERM 2 WEEK 6
Success Criteria: I can/have...
- Understand and use fractions, decimals and percentages
- Understand and use rates and ratios
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/starter_June4.ASP
- What is a ratio?
- Simplifying ratios
- Equivalent ratios
- Using ratios to divide quantities - Watch online presentation to understand and work out questions with prompts
- Practice questions (Differentiated)
- Online practice - https://www.transum.org/software/SW/Starter_of_the_day/Students/Ratio.asp?Level=1
- Contextual applications
Homework:
Maths Buddy (Differentiation)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
- We are EXPLORING interpreting and using rates and ratios in real life situations.
- We are EXPLORING ratios and understanding calculations involving ratios.
Kia ora 10C1
TERM 2 WEEK 7
Success Criteria: I can/have...
- Understand and use fractions, decimals and percentages
- Understand and use rates and ratios
- Calculate earnings for a period for different types of incomes
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/starter_June4.ASP
- What is a ratio?
- Simplifying ratios
- Equivalent ratios
- Using ratios to divide quantities - Watch online presentation to understand and work out questions with prompts
- Practice questions (Differentiated)
- Online practice - https://www.transum.org/software/SW/Starter_of_the_day/Students/Ratio.asp?Level=1
- Contextual applications
- Different kinds of earnings - Name some - What are the advantages and disadvantages of each type of earning eg salary, wages, commission, piecework etc
- Financial literacy(Stand up, stand out - managing money sensibly and effectively) - Focussing on wages and salary this week
- Practice questions
Homework:
Maths Buddy (Differentiation)
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FOCUS / ARONGA learning intentions:
- We are FOCUSING on developing an understanding of different ways to earn an income.
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculating weekly, fortnightly, monthly and yearly earnings for various types of income.
Kia ora 10C1
TERM 2 WEEK 8
Success Criteria: I can/have...
- Calculate earnings with wages and salary
- Calculate earnings with overtime
- Calculate earnings with commission based work
Activities:
- Revisit learning from last week - Difference between wages and salary
- What does overtime mean? - Payment for additional hours of work
- What kind of income is overtime most likely to be paid in?
- What does time and a half and double time rate of payment mean?
- video - https://www.youtube.com/watch?v=7pdkRdl5py4
- Give example - Solve an overtime question on the board
- Practice questions(Differentiated)
Homework:
Maths Buddy (Differentiation)
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FOCUS / ARONGA learning intentions:
- We are FOCUSING on developing an understanding of different ways to earn an income.
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING discovering different ways of earning an income.
- We are EXPLORING calculating weekly, fortnightly, monthly and yearly earnings for various types of income.
- We are EXPLORING calculating commission and piecework remuneration.
Kia ora 10C1
TERM 2 WEEK 9
Success Criteria: I can/have...
- Calculate earnings with piecework
- Calculate earnings with commission based work
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/starter_July23.ASP
- What does piecework mean? How is it remunerated?
- What is a commission?
- Name some jobs/careers in which you can earn a commission?
- How is commission decided? Percentage of what? eg sales agents get a percentage of the total sales as commission
- Practice questions
- Introduce assessment and rubric
- Practice assessment
Homework:
Maths Buddy(Differentiated) -
FOCUS / ARONGA learning intentions:
- We are FOCUSING on developing an understanding of different ways to earn an income.
- We are FOCUSING on developing an understanding of simple and compound interest.
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING using a formula to calculate simple and compound interest.
- We are EXPLORING using the tax table to calculate income tax deductions.
Kia ora 10C1
TERM 2 WEEK 10
Success Criteria: I can/have...
- Calculate simple interest using the formula
- Calculate net income after common deductions
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/starter_July23.ASP
- What is interest in financial terms?
- Where and how do interest rates apply?
- Two common bank interests - Simple interest and compound interest
- Understanding simple and compound interest
- Introduce formulas for simple and compound interest
- Go over a few application questions for simple interest
- Students practice simple interest word problems
- Extension work - Compound interest
- What is tax? What is Income tax?
- How is income tax calculated? Introduce tax table and demonstrate with an example how it works.
- Tax thresholds changing from 31st July 2024 - Comparison between new and old thresholds - https://www.moneyhub.co.nz/paye-tax-rates.html
- Pick a profession, research salary and calculate income tax with current and changing tax thresholds
Homework:
Maths Buddy (Differentiated) -
TERM BREAK
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TERM BREAK
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Kia ora 10C1
TERM 3 WEEK 1
Success Criteria: I can/have...
- Use algebraic notation to write algebraic expressions and equations
- Collect and combine like terms to simplify algebraic expressions
- Use substitution to evaluate algebraic expressions
Activities:
- Warm up - https://www.transum.org/software/SW/Starter_of_the_day/Students/Missing_Terms.asp
- Introduction to Algebra
- Algebraic vocabulary - pro-numerals, constant, coefficient etc - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Words_And_Concepts.asp
- Putting words into algebraic expressions - how to write algebraic products and sums
- Pre-Algebra skills - https://study.com/skill/pre-algebra-skills-practice.html#SN-8011
- What are like terms? Explanation with examples
- Combining like terms - A way to simplify algebraic expressions - Explanation with examples
- Substitution - Replacing pro-numerals/unknowns with a numerical substitution
- Practice questions(differentiated)
- Online practice for writing expressions - https://www.transum.org/Maths/Exercise/Expressions/
- Online practice for like terms - https://www.transum.org/Maths/Activity/Algebra/Collecting_Like_Terms.asp
Homework:
Maths Buddy(Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING interpreting algebraic symbols and expressions.
- We are EXPLORING collecting like terms to simplify algebraic expressions.
- We are EXPLORING analysing and evaluating linear expressions by substitution.
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Kia ora 10C1
TERM 3 WEEK 2
Success Criteria: I can/have...
- Use substitution to evaluate algebraic expressions
- Use and apply index laws
- Simplify algebraic products using index notation
- Simplify algebraic fractions using index notation
Activities:
- Warm up - Quizizz - Adding and subtracting like terms
- What is index notation?
- Video - https://www.youtube.com/watch?v=ncMsVv-gml8
- Using index notation to write expressions in a simplified way - explained with examples
- Applying index notation to simplify algebraic products and fractions
- Attempt practice questions
- Extension - Beta Maths Pg 123 and 124
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING analysing and evaluating linear expressions by substitution.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on simplifying algebraic expressions by solving them using index notation
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Kia ora 10C1
TERM 3 WEEK 3
Success Criteria: I can/have...
- Add and subtract algebraic fractions
- Multiply and divide algebraic fractions
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Indices.asp?Level=7
- What is an algebraic fraction? Give an example of an algebraic fraction
- Is there a way to add two algebraic fractions with the same denominator and with different denominators? What can you relate this too? Think about number operations with fractions.
- Teacher explains adding and subtracting of algebraic fractions with an example
- Teacher explains multiplying and dividing algebraic fractions with an example
- Attempt practice questions
- Online practice for operations with mixed algebraic fractions - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Algebraic_Fractions.asp?Level=1
- Extension - Gamma Mathematics - Page 128, 129, 131 Q 14 onwards
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING using the mathematical operations with algebraic fractions.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on solving algebraic fractions involving addition , subtraction, multiplication and division
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PLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to construct a table of values from a pattern so that we can draw a linear graph
FOCUS / ARONGA learning intentions:
- We are FOCUSING developing a rule to describe a pattern.
Kia ora 10C1
TERM 3 WEEK 4
Success Criteria: I can/have...
- Substitute values into formulae
- Describe and extend geometric patterns
- Construct a table of values and write a rule to describe a pattern
- Use the rule to solve problems
Activities:
- Warm up - https://www.transum.org/software/SW/Starter_of_the_day/Students/Stable_Scales_Quiz.asp
- Recap the concept of substitution - substituting values into a formula to complete a table of values
- Geometric and spatial patterns - continuing patterns and filling out a table of values for the pattern (Differentiated)
- Using the table of values to come up with a formula/rule for that pattern
- Using the the rule to solve problems related to a pattern
- Online practice for patterns and rules - https://www.transum.org/Maths/Activity/Matchstick_Patterns/
- Graphing simple linear equations and answering related questions
- Extension - Finding the gradient and equation of a line from a linear graph
Homework:
Maths Buddy (Differentiation)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING graphing linear rules and interpreting the slope and intercepts on an integer coordinate system.
- We are EXPLORING finding the equation of a line.
Kia ora 10C1TERM 3 WEEK 5
Success Criteria: I can/have...
- Substitute values into formulae
- Describe and extend geometric patterns
- Construct a table of values and write a rule to describe a pattern
- Use the rule to solve problems
Activities:- Warm up - https://www.transum.org/Maths/Activity/Matchstick_Patterns/
- Recap the concept of substitution - substituting values into a formula to complete a table of values
- Geometric and spatial patterns - continuing patterns and filling out a table of values for the pattern (Differentiated)
- Using the table of values to come up with a formula/rule for that pattern
- Using the the rule to solve problems related to a pattern
- Online practice for patterns and rules - https://www.transum.org/Maths/Activity/Matchstick_Patterns/
- Graphing simple linear equations and answering related questions
- Extension - Finding the gradient and equation of a line from a linear graph
- Gradient and equation of a line practice - https://www.transum.org/software/GraphMatch/Gradient.asp
Homework:
Maths Buddy (Differentiated)
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Kia ora 10C1
TERM 3 WEEK 6
Success Criteria: I can/have...
- Expand and factorise linear algebraic expressions
Activities:
- Warm up - https://www.transum.org/Maths/Exercise/Algebra/Fraquations/Default.asp?Level=1
- What does expanding and factorising mean in Maths?
- How do you write in expanded form?
- Expansion of terms in Algebra
- Video on how to expand algebraic terms.- https://www.youtube.com/watch?v=WpvDcFSgTwU
- Recognise that factorisation is the opposite of expansion(Putting terms back in brackets)
- Video on how to factorise algebraic terms - https://www.youtube.com/watch?v=DWitQODoI-Y
- EP Task
- Practice questions on MHOL
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING expanding and factorising linear algebraic expressions and recognising that factorisation is the opposite of expansion.
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Kia ora 10C1
TERM 3 WEEK 7
Success Criteria: I can/have...
- Expand and Factorise linear equations
Activities
- Warm up - https://www.transum.org/software/SW/Starter_of_the_day/Students/Brackets.asp?Level=1
- What does expanding and factorising mean in Maths?
- How do you write in expanded form?
- Expansion of terms in Algebra
- Video on how to expand algebraic terms.- https://www.youtube.com/watch?v=WpvDcFSgTwU
- Recognise that factorisation is the opposite of expansion(Putting terms back in brackets)
- Video on how to factorise algebraic terms - https://www.youtube.com/watch?v=DWitQODoI-Y
- EP Task
- Online practice for expanding expressions - https://www.transum.org/software/SW/Starter_of_the_day/Students/Brackets.asp?Level=1
- Practice questions on MHOL(Refer to week 6)
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING expanding and factorising linear algebraic expressions and recognising that factorisation is the opposite of expansion.
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING recognising and using the sum and product pattern for factorising a quadratic expression.
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING using the inequality signs write linear inequalities.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on representing in-equalities on a number line.
Kia ora 10C1
TERM 3 WEEK 8
Success Criteria: I can/have...
- Solve simple quadratic expressions and equations
- Solve linear inequalities
Activities:
- Warm up - Factorising https://www.transum.org/software/SW/Starter_of_the_day/Students/Factorising.asp
- Quadratic factorisation - identifying factors for sum and product pattern to factorise
- Copy example from board
- Practice questions
- Difference between equations and in-equations
- Explanation of the relevance of an in-equation with an example
- Representation of an in-equation using a number line/Graphing of an in-equation on a number line
- Practice questions
- Extension - Factorising trinomials - EP task
Homework:
Maths Buddy (Differentiation) -
FOCUS / ARONGA learning intentions:
- We are FOCUSING on representing in-equalities on a number line.
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING expanding and factorising linear algebraic expressions and recognising that factorisation is the opposite of expansion.
- We are EXPLORING using the inequality signs write linear inequalities.
- We are EXPLORING recognising and using the sum and product pattern for factorising a quadratic expression.
Kia ora 10C1
TERM 3 WEEK 9
Success Criteria: I can/have...
- Solve simple quadratic expressions and equations
- Solve linear inequalities
Activities:
- Warm up - Factorising https://www.transum.org/software/SW/Starter_of_the_day/Students/Factorising.asp
- Quadratic factorisation - identifying factors for sum and product pattern to factorise
- Copy example from board
- Practice questions
- Greater than, less than and equal to sign
- Attempt first 4 levels - https://www.transum.org/software/SW/Starter_of_the_day/Students/Inequalities.asp?Level=1
- Difference between equations and in-equations
- Explanation of the relevance of an in-equation with an example
- EP task - Introduction to in-equations
- Representation of an in-equation using a number line/Graphing of an in-equation on a number line
- Solving in-equations - Pay attention to dividing or multiplying by a negative number rule
- Teacher solves some questions on board as an example
- Practice questions
- Extension - Factorising trinomials - EP task
Homework:
Maths Buddy (Differentiation) -
Kia ora 10C1
TERM 3 WEEK 10
Financial literacy - Banqer High(In collaboration with Global studies)
Success Criteria: I can/have...
- Understand the purpose of kiwi saver and how to invest in it
Activities:
- What is retirement and when people retire?
- What is KiwiSaver?
- When do you get KiwiSaver?
- Does anybody have a job? Are you enrolled in KiwiSaver?
- Compare and contrast kiwi saver providers and funds
- Explore investment strategies and chose one
- Complete kiwi saver module on Banqer High
Homework:
Maths Buddy (Differentiation) -
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Enter text here...
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING conceptualising the Pythagoras theorem
- We are EXPLORING finding sides of a right angled triangle using the Pythagorean rule
- We are EXPLORING investigating whether the converse of the Pythagorean rule can be used to check for right angled triangles
Kia ora 10C1
TERM 4 WEEK 1
Success Criteria: I can/have...
- Understand and use the Pythagoras theorem
Activities:
- Introduction to the Pythagoras theorem - Who was Pythagoras and his work
- Watch video on the Pythagoras theorem and its proofs - https://www.google.com/search?q=how+to+prove+the+pythagorean+theorem&oq=How+to+prove+the+&aqs=chrome.2.69i57j0i455i512j0i512l8.10335j0j7&sourceid=chrome&ie=UTF-8&safe=active&ssui=on#kpvalbx=_tRc8YcnIHued4-EPhp2P4Aw17
- Discussion on video
- Explanation of using the Pythagoras theorem to find an unknown side
- Skill Practice
- Extension - Applications of the Pythagoras theorem
Homework:
Maths Buddy(Differentiation) -
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING using the trigonometric ratios in any right angled triangle to find an unknown side and/or an unknown angle.
Kia ora 10C1
TERM 4 WEEK 2
Success Criteria: I can/have...
- Apply the trigonometry ratios in two dimensions
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Pythagoras_Basics.asp?Level=1
- How to determine the hypotenuse, opposite side and adjacent side in a right angled triangle
- Video on introduction to Trig ratios - https://www.youtube.com/watch?v=zU94BB9aUgE
- Video on how to apply the Trig ratios- https://www.youtube.com/watch?v=QThmz7ZJsWM
- Using a calculator to find sin, cos and tan theta
- Choose and apply trigonometric ratios to find an unknown side/angle
Homework:
Maths Buddy(Differentiation)
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- We are EXPLORING using the trigonometric ratios in any right angled triangle to find an unknown side and/or an unknown angle.
Kia ora 10C1
TERM 4 WEEK 3
Success Criteria: I can/have...
- Apply the Trigonometry ratios and their inverse in two dimensions (Right angled triangle)
Activities:
- Recap of last week's learning - EP Task
- Video on finding an angle using the Trig ratios - https://www.youtube.com/watch?v=LJbqlULJcec
- Using the calculator to find inverse of Trig ratios
- Practice questions
Homework:
SHORT WEEK - Labour day and Athletics/Tabloids day
Maths Buddy -
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING using the trigonometric ratios in any right angled triangle to find an unknown side and/or an unknown angle.
Kia ora 10C1
TERM 4 WEEK 4
Success Criteria: I can/have...
- Apply the Trigonometry ratios and their inverse in two dimensions (Right angled triangle)
Activities:
- Warm up - Number Revision - significant numbers and integers
- Complete work from last week on Trigonometry
- Catch up on homework tasks from last week
Homework:
Work on assigned revision tasks -
Kia ora 10C1
TERM 4 WEEK 5
Success Criteria: I can/have...
- Solve skill and contextual problems in Number, Algebra, measurement and Geometry
Activities:
- E-astle week
- CAT Revision topics
- Attempt Revision tasks assigned on EP
- Individual, group or class teaching of skills and concepts as required
Homework:
Work on assigned revision tasks -
COMMON ASSESSMENT TASK WEEK
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YR10 WORK EXPERIENCE WEEK
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Kia ora 10C1
TERM 4 WEEK 8
Financial Literacy
Success Criteria: I can/have...
- Gaining skills for future(context) by understanding and assessing risks involved in financial decisions and their likely outcomes
Activities- Budgeting
- Saving
- Managing debt
- Investing
- Managing credit
- Government benefits and allowances
- Inflation and purchasing power
- Online activities:
Unit pricing - https://www.transum.org/Maths/Puzzles/Jigsaw/Unit_Pricing.asp?Level=1
Flowchart Bills - https://www.transum.org/software/SW/Starter_of_the_day/Students/Flowchart_Bills.asp?Level=1
Interest - https://www.transum.org/Maths/Activity/Interest/
Currency conversion - https://www.transum.org/Maths/Activity/Currency/
Overdraft charges - https://www.transum.org/Maths/Exercise/Finance/Overdraft.asp
Mathopoly - https://www.transum.org/software/Fun_Maths/Mathopoly/
Cryptocurrency - https://sortedinschools.org.nz/students/activities/cryptocurrency/
Inflation - https://sortedinschools.org.nz/students/activities/inflation/
Homework:
Complete class activities
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