10C2 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 10C2
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 10C2
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 10C2
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 10C2
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 10C2
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/
Homework:
Maths Buddy
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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 organising and displaying data through different kinds of graphs.
- We are EXPLORING interpreting graphs.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on describing and comparing graphs.
Kia ora 10C2
TERM 1 WEEK 7
Success Criteria: I can/have...
- Understand Statistical Vocabulary
- Organise and display data by creating a frequency table, column graph, dot plot, stem and leaf graph, box and whisker plot and scattergraphs
- Recognise outliers
- Recognise bias in a sample
- Recognise misleading graphs
- Read, interpret and compare graphs
Activities:
- Warm up Activity
- Explanation of new skills and concepts with example - Whole class, group or individual teaching as required
- MHOL - Practice questions
- Contextualised problem solving
- Applications
- Differentiation through Maths Buddy and in class tasks
Homework:
Maths Buddy
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Kia ora 10C2
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 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 - Change/Reaction
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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