9C1 Mathematics
Weekly outline
-
NAU MAI KI TE 9C1 PANGARAU
-
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
-
Kia ora 9C1
A very warm welcome to all our returning and new students!
Hope you had an enjoyable and relaxed summer break and are ready to delve into the learning and opportunities that 2024 has to offer.
TERM 1 WEEK 2
PONO AWHINATANGA WHAKAMANA
CONTEXT - Kaitiakitanga of Taonga in Aotearoa
Success Criteria: I can/have...
- Say Maori numbers up to 100 and understand Maori numbers in relation to place value (Maori world view)
- Round numbers sensibly
Activities:
- Warm up - Times tables Bingo
- Place value - what does it mean? Place value relation to how we say numbers in Maori
- Video - https://www.youtube.com/watch?v=m6cxpRXaeSw
- Place value exercise - https://www.transum.org/Maths/Activity/Place_Value/
- Writing numerals in expanded notation and vice versa. Explanation of concept
- Rounding numbers to the nearest ten, hundred, thousand, ten thousand and a million. Extension - Rounding to significant numbers
- Practice questions -(Differentiation)
- Extension - How big is a million activity
Homework:
Maths Buddy
-
Kia ora 9C1
TERM 1 WEEK 3
Success Criteria: I can/have...
- Find the square and square root of numbers
- Find multiples of a number
Activities:
- Maori numbers 1 to 50
- Warm up - https://www.transum.org/Maths/Puzzles/Factor_Pairs/
- Explanation of skills and concepts (powers, square root and multiples) with examples. Whole class, group or individual teaching as required
- Concept - Drawing square numbers/Continuing a square number pattern
- Practice questions
- Extension - Contextual problems
- Multiples and LCM - What are multiples?
- What does least common multiple mean?
- Multiples game - https://www.topmarks.co.uk/carroll-diagrams/multiples
- LCM by inspection
- Online practice for LCM - https://www.transum.org/software/SW/Starter_of_the_day/Students/HCF_LCM.asp?Level=2
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING powers and square roots of whole numbers
- We are EXPLORING finding multiples of natural numbers
-
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding lowest common multiple, highest common factor and prime factors of natural numbers
Kia ora 9C1
TERM 1 WEEK 4
Success Criteria: I can/have...
- Recall the definitions of Prime and Composite numbers
- Find Prime factors of a natural number
- Find the Highest Common Factor of two or more numbers
- Find the Lowest Common Multiple of two or more numbers
Activities:
- Warm up - S1 - Maori numbers revision, S2 - weekly revision (Differentiation), S3 - numeracy skills
- What are Prime and composite numbers in terms of factors?
- HCF and LCM
- Prime factorisation - https://www.transum.org/Maths/Activity/Prime/Tree_Puzzles.asp
- Factor Pairs - https://www.transum.org/Maths/Puzzles/Factor_Pairs/?Level=1
- Online practice of HCF and LCM - https://www.transum.org/software/SW/Starter_of_the_day/Students/HCF_LCM.asp?Level=1
- Video - https://www.youtube.com/watch?v=BWHSDlIWNm4
- Skill Practice
- Contextual Applications (Differentiation) (Page 6,7,8 Beta Maths)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding lowest common multiple, highest common factor and prime factors of natural numbers
-
Kia ora 9C1
TERM 1 WEEK 5
Success Criteria: I can/have...
- Use the order of operations correctly with natural numbers
- Solve problems involving integers
Activities:
- Warm up activity
- Explanation of new skills and concepts with examples (Whole class, group or individual teaching as required)
- What are integers? Practical applications of negative numbers
- Adding and subtracting integers using a number line and rules
- Video - https://www.youtube.com/watch?v=CfkaifC7tGY
- Online Practice - https://www.mathsisfun.com/positive-negative-integers.html
- Rules for multiplying and dividing integers
- Order of operations with natural numbers - BEDMAS
- Online Practice BEDMAS - https://www.transum.org/software/SW/Starter_of_the_day/Students/BIDMAS_Click.asp?Level=1
- Practice questions (Differentiation)
- Problems in context and applications (Extension - Integers Pg 56 Alpha Maths, Order of operations Pg 98 Alpha Maths)
Homework
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding solutions using the the order of operations
FOCUS / ARONGA learning intentions:
- We are FOCUSING on explaining the meaning of negative numbers
- We are FOCUSING solving problems involving integers
-
Kia ora 9C1
TERM 1 WEEK 6
Success Criteria: I can/have...
- Find equivalent fractions
- Compare fractions
- Add, subtract, multiply and divide fractions
- Find fraction of a quantity and decimals
Activities:
- Warm up - Numeracy skills
- Warm up game - https://www.transum.org/Software/Nim/
- Explanation of skills and concepts with examples (Whole class, group or individual teaching as required)
- What are equivalent fractions and how to find them
- Online practice for equivalent and comparing fractions - https://www.transum.org/Maths/Activity/Fractions/Equivalent.asp?Level=3
- Comparing fractions - greater than, less than, placing on a number line
- Adding and subtracting fractions with same and different denominators
- Video - https://www.youtube.com/watch?v=XsW8HJutIgM
- Multiplying and dividing fractions(using reciprocals)
- Finding fraction of a quantity/decimal(money)
- Practice questions (Differentiation)
- Contextual problems (Extension - Pg 120, 121, 122,130, 131 Alpha Maths)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding equivalent fractions and reciprocals of numbers
FOCUS / ARONGA learning intentions:
- We are FOCUSING on developing strategies to add, subtract, multiply and divide fractions
- We are FOCUSING on comparing fraction sizes
- We are FOCUSING on solving contextual problems involving fractions
-
Kia ora 9C1
TERM 1 WEEK 7
Success Criteria: I can/have...
- Round off decimals
- Order decimals
- Write and solve practical problems involving the four operations with decimals
- Convert between fractions and decimals
Activities:
- Warm up - https://www.transum.org/Maths/Exercise/Fractions/
- Fractions using a calculator - https://www.transum.org/software/SW/Starter_of_the_day/Students/Express_a_Fraction.asp?Level=1 (Word problems - Fraction Arithemetic, mixed numbers, level 9)
- Comparing and ordering decimals
- Online puzzle of matching decimals with fractions - https://www.transum.org/Software/SW/Starter_of_the_day/starter_August7.ASP
- Rounding decimals - https://www.transum.org/Software/SW/Starter_of_the_day/Students/RoundingWN.asp?Level=1
- Solving word problems involving decimals
- Differentiation - Online practice of word problems - https://www.ixl.com/math/grade-7/add-subtract-multiply-and-divide-decimals-word-problems
- Contextual problems (Extension - Pg 31 Q17 onwards Beta Maths)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING interpreting decimal numbers.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on comparing decimal numbers
- We are FOCUSING on solving practical problems involving decimals
-
Kia ora 9C1
TERM 1 WEEK 8
Success Criteria: I can/have...
- Convert between fractions, decimals and percentages
- Express quantities as a percentage of a whole and of another quantity
- Find percentages of quantities
Activities:
- Warm up - conversions - https://www.transum.org/Maths/Activity/FractionDecimalPercentage/Default.asp?Level=1
- Conversions - https://www.transum.org/Maths/Activity/Fractions/Particular.asp
- What does 'Percent' mean?
- Making the denominator a 100 to write number as a percentage
- Conversions - How do you write a fraction/decimal as a percentage and vice versa
- Finding the %age of an amount/quantity - https://www.transum.org/Software/SW/Starter_of_the_day/starter_March26.ASP
- Quantities as a percentage of other quantities - https://www.transum.org/Maths/Exercise/Express_As_A_Percentage.asp
- Finding the whole amount given the percentage - unitary method
- Increasing and decreasing by a percentage (Extension)
- Finding GST (Extension)
- Practice questions (Differentiation)
- Contextual problems - (Extension)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding percentage of a quantity/amount
FOCUS / ARONGA learning intentions:
- We are FOCUSING on developing an understanding of percentages in a real life context
- We are FOCUSING comparing and matching percentages to equivalent fractions and decimals
- We are FOCUSING on solving contextual problems involving percentages
-
Kia ora 9C1
TERM 1 WEEK 9
Success Criteria: I can/have...
- Express quantities as a percentage of a whole and of another quantity
- Find the percentage of an amount - real life applications
- Calculate increase and decrease by a percentage and GST
Activities:
- Warm up - Weekly revision task
- Online practice of percentage increase and decrease - https://www.transum.org/Maths/Exercise/Percentages/Switch.asp?Level=1
- Recap of last week's learning on percentages
- Profit and Loss, cost price, selling price - Introduce vocabulary and meaning
- Identifying and finding profit and loss
- Continue working on list of Extension tasks from last week
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding percentage of a quantity/amount
FOCUS / ARONGA learning intentions:
- We are FOCUSING on developing an understanding of percentages in a real life context
- We are FOCUSING comparing and matching percentages to equivalent fractions and decimals
- We are FOCUSING on solving contextual problems involving percentages
-
Kia ora 9C1
TERM 1 WEEK 10
Success Criteria: I can/have...
- Operate with fractions, decimals and percentages
- Solve contextual problems involving fractions, decimals and percentages
Activities:
- Assessment week
- Introduce assessment and rubric
- Practice assessment
- Clarify questions/doubts
- Start assessment
Homework:
Maths Buddy (Differentiation)
PLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to create an infographic for a set of data using our skill knowledge of fractions, decimals, percentages and ratios
-
Kia ora 9C1
TERM 1 WEEK 11
Success Criteria: I can/have...
- Express information as a ratio
- Simplify ratios and find equal ratios
- Use ratios to divide quantities
Activities:
- Warm up
- The concept of ratios
- Equivalent ratios Video - https://www.youtube.com/watch?v=UTT7KSdXyzg
- Simplifying and finding equivalent ratios
- Dividing quantities using ratios - understanding total parts and finding share - Video - https://www.youtube.com/watch?v=ZGNKADdLlrA
- Contextual problems (Extension) -
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING simplifying ratios and finding equivalent ratios
- We are EXPLORING dividing quantities using ratios
FOCUS / ARONGA learning intentions:
- We are FOCUSING on defining ratios and proportion
-
-
-
Kia ora 9C1
TERM 2 WEEK 1
Context - Stand up, stand out
Success Criteria: I can/have...
- Convert between the units of length, mass, weight and time
- Estimate to a reasonable level of accuracy lengths and perimeters of objects
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/starter_August6.ASP
- What are some everyday things that we need to measure?
- Units used in old times - Why were they not sustainable? Why did they needed to be changed?
- The Metric system - What was required (context - stand up, stand out) to make measurements more uniform across the globe?
- Note down commonly used units of measurement
- How to convert between units and the logic behind it
- Online practice for length, mass and capacity conversions - https://www.transum.org/Maths/Activity/Units/Default.asp?Level=1
- Estimating and Measuring classroom objects and distances around the school eg desks, board, courts etc
- Practice of conversions - Questions on board (Differentiation)
- Extension - Volume to capacity conversion video - https://www.youtube.com/watch?v=2viB6AFOH7M
- Greenwich Mean Time -Why did we need this? What did it solve?
- Lines of latitude and longitude video - https://www.youtube.com/watch?v=YORm7xbIbTs
- Contextual applications (Extension)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING measurement and the Metric system.
- We are EXPLORING conversions between different units of measurement.
-
Kia ora 9C1
TERM 2 WEEK 2
Success Criteria: I can/have...
- Calculate perimeters of regular and irregular polygons and circles
Activities:
- Warm up - https://www.transum.org/Maths/Activity/Units/Default.asp?Level=1
- What is perimeter? Where would we need to find perimeter in everyday life?
- Measuring and calculating perimeter of different size tables, cupboard, classroom, playground, courts etc
- Irregular polygon perimeter - https://www.transum.org/Software/SW/Starter_of_the_day/starter_February9.ASP
- What is circumference? How can we calculate it?
- Formula for circumference and how to use it
- Find the circumference of different circular shapes
- Skill practice questions (Differentiated)
- Contextual applications (Extension)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING measurement and the Metric system.
- We are EXPLORING conversions between different units of measurement.
- We are EXPLORING finding perimeter of polygons and circumference of circles
FOCUS / ARONGA learning intentions:
- We are FOCUSING on solving problems involving perimeter and circumference.
-
Kia ora 9C1
TERM 2 WEEK 4
Success Criteria: I can/have...
- State and use the formulae for areas of rectangles, triangles, parallelograms and circles
Activities:
- Warm up - https://www.transum.org/Software/Online_Exercise/PolygonProperties/
- What is area? How is it measured - Concept of square units
- Estimating and using the formula for area of a rectangle and triangle for everyday objects eg bottles, tables, phones, books, stamps etc
- Online Exercise Area - https://www.transum.org/software/SW/Starter_of_the_day/Students/Areas_of_Composite_Shapes.asp
- Area of a rectangle as the basis of deriving formulae for area of triangle, parallelograms, trapezia and circles (Extension)
- Skill practice (Differentiated)
- Algebraic Perimeter and Area(Extension)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding the area and volume of everyday objects including irregular and composite shapes
FOCUS / ARONGA learning intentions:
- We are FOCUSING on developing an understanding of the deduction of formulae for area of polygons
-
Kia ora 9C1TERM 2 WEEK 4
Success Criteria: I can/have...
- State and use the formulae for the volume of prisms
- Calculate the volume of cuboids
- Understand the relationship between capacity and volume
Activities:
- Warm up - https://www.transum.org/software/SW/Starter_of_the_day/Students/Circles.asp?Level=1
- What is volume? What is capacity? What is the difference?
- Dimensions of a cuboid (3D)
- Formula to find volume of a cuboid based on its dimensions
- Online practice for volume - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Volume.asp?Level=3
- Capacity and volume relationship (Extension)
- Skill practice (Differentiated)
- Contextual problems (Extension)
Homework:
Maths Buddy(Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding the area and volume of everyday objects including composite shapes and prisms
-
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING reading and interpreting scales, timetables and charts
- We are EXPLORING recognising vertically opposite, corresponding, alternate and co-interior angles
Kia ora 9C1
TERM 2 WEEK 5
Success Criteria: I can/have...
- Read scales, timetables and charts
- Measure and draw angles
- Use the angle properties of parallel lines
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/students/Temperature.asp
- Complete activity on reading scales and timetables - https://www.transum.org/Maths/Exercise/Timetables.asp
- How to use a protractor to measure angles
- Measuring and drawing angles task - https://www.transum.org/software/SW/Starter_of_the_day/Students/Measuring_Angles.asp?Level=1
- Parallel and intersecting lines
- Angles - https://www.transum.org/Software/SW/Starter_of_the_day/Students/AnglePoints.asp
- Angle properties of parallel and intersecting lines - https://www.transum.org/software/SW/Starter_of_the_day/Students/AngleParallel.asp?Level=1
- Practice questions(differentiated)
Homework:
Maths Buddy(Differentiation)
-
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING recognising vertically opposite, corresponding, alternate and co-interior angles
PLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to apply the angle properties of polygons so that we can find the unknown angles.
Kia ora 9C1
TERM 2 WEEK 6
Success Criteria: I can/have...
- Calculate angles within a triangle and using the exterior angle of a triangle
- Calculate unknown angles of quadrilaterals and polygons
Activities:
- Warm up - https://www.transum.org/software/SW/Starter_of_the_day/Students/AngleParallel.asp?Level=1
- Sum of Interior angles of a triangle
- Sum of Interior angles of a quadrilateral
- Formula for calculating Interior angles of polygons
- Practice questions(Differentiated)
Homework:
Maths Buddy(Differentiation)
-
FOCUS / ARONGA learning intentions:
- We are FOCUSING on discussing line and travel graphs
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING locating points on a cartesian plane
- We are EXPLORING interpreting point, line and travel graphs
- We are EXPLORING finding bearings
Kia ora 9C1
TERM 2 WEEK 7
Success Criteria: I can/have...
- Locate and define the position of a point on a cartesian plane
- Interpret points on point graphs and line graphs
- Interpret travel graphs
- Find a bearing
Activities:
- Warm up - https://www.transum.org/Maths/Activity/Angle/Mixed.asp
- Introduce the Cartesian plane - coordinate geometry
- The 4 quadrants and the properties of coordinates that lie within each
- Plotting and identifying points on a cartesian plane - EP Task
- Online practice for coordinates - https://www.transum.org/software/SW/Starter_of_the_day/Students/Coordinates.asp
- How to interpret points on a point graph
- How to interpret line graphs
- How to interpret travel graphs
- Bearings - What are they used for? GPS - Global positioning systems
- Writing a bearing using 3 figures
- Finding a bearing
- Practice questions for all topics
- Contextual applications(Extension)
Homework:
Maths Buddy(Differentiation)
-
FOCUS / ARONGA learning intentions:
- We are FOCUSING on discussing line and travel graphs
- We are FOCUSING on developing an understanding of compass directions and bearings.
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING locating points on a cartesian plane
- We are EXPLORING interpreting point, line and travel graphs
- We are EXPLORING compass directions and finding bearings
Kia ora 9C1
TERM 2 WEEK 8
Success Criteria: I can/have...
- Identify compass directions
- Find and write bearings using 3 digts
Activities:
- Warm up - https://www.transum.org/Maths/Activity/Travel_Graphs/
- Name the 4 main compass directions - https://www.transum.org/Maths/Activity/Bearings/
- Estimation with angles - https://www.transum.org/Maths/Game/Snooker/
- Compass direction practice - https://www.transum.org/software/Fun_Maths/Maze/NavigationNEWS.asp
- Draw and label the 8 compass directions
- What are bearings?
- Finding bearings using a protractor - Bearings are always measured from North
- Writing bearings using 3 digits
- Online practice for bearings - https://www.transum.org/Maths/Activity/Bearings/Exercise.asp
- Practice questions
- Contextual applications(Extension)
Homework:
Maths Buddy(Differentiation)
-
Kia ora 9C1
TERM 2 WEEK 10
Success Criteria: I can/have...
- Perform and describe reflection, rotation, translation, reduction and enlargement
- Find order of line and rotational symmetry
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/starter_August8.ASP
- Revisit the concept of reflection, rotation and translation, line and rotational symmetry
- Transformations - https://www.transum.org/software/SW/Starter_of_the_day/Students/Transformations/Draw.asp?Level=1
- Vectors - https://www.transum.org/Maths/Exercise/Vectors/Default.asp?Level=1
- Vector Maze - https://www.transum.org/Maths/Puzzles/Vectors/Maze.asp
- Discuss order of line and rotational symmetry
- Watch Transum video on line and rotational symmetry - https://www.transum.org/Software/SW/YouTube/Video.asp?Video=B2PIWMCasNw&Title=Symmetry&Description=Find+out+more+about+symmetry+by+watching+this+video
- Online exercise - https://www.transum.org/software/SW/polygons/polygons.asp
- Understanding symmetry in kowhaiwhai patterns
Homework:
Maths Buddy (Differentiation) -
TERM BREAK
-
TERM BREAK
-
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING algebraic words and concepts.
- We are EXPLORING the concepts of product and index notation.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on identifying and combining like terms to simplify an algebraic expression
- We are FOCUSING on using substitution to solve linear equations
Kia ora 9C1
TERM 3 WEEK 1
Success Criteria: I can/have...
- Understand and use algebraic vocabulary
- Use symbols to write algebraic expressions from words
- Simplify algebraic expressions by combining like terms
Activities:
- Warm up - missing terms - https://www.transum.org/software/SW/Starter_of_the_day/Students/Missing_Terms.asp
- Words commonly associated with the four maths operations - using these to convert word sentences into algebraic form. Extension - Beta Maths page 105
- Examples and practice questions
- Online practice for writing algebraic expressions - https://www.transum.org/Maths/Exercise/Expressions/
- Algebra vocabulary
- Practice to use algebraic vocabulary
- Identifying and combining like terms - signs go with the terms(very important)
- Simplifying algebraic expressions by combining like terms - Explanation and video
- online practice for like terms (Extension) - https://www.transum.org/Maths/Activity/Algebra/Collecting_Like_Terms.asp?Level=1
Homework:
Maths Buddy
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-