Revise Fractions from T2
Provide students with independent activities: Have students use a number expander to model tenths. Make direct links between models, fractions and decimal representation, e.g. ■■■■□□□□□□ = 𝟒𝟏𝟎𝟒𝟏𝟎
= 0.4
Improper fractions and mixed numbers. How can you name an amount in two different ways? Model Area Model concepts for students.
Link decimal representations to mixed numbers and help students see that 4(4 and 3 tenths) can be represented as 4.3
Assessment Fractions
I am learning to: recall multiplication facts to 10 x 10 and related division facts. continue number sequences involving multiples of single digit numbers.
Do Dailies
Lower
- What do you know and what can you find out about the multiples of 3, ie. 3, 6, 9, 12, 15, 18, 21....?
- I doubled a number and kept doubling so that the original number was doubled four times. What might the answer be?
- This room has three chairs more than the room next door. How many chairs might be in each room?
- Twelve teddies all sat down at a café which had 4 tables. Show how the teddies might have sat at each table?
- A number is divided by 5 and leaves a reminder of 3. What might the number be?
- At a party the lollies are shared. Each person got 3. How many people were at the party and how many lollies were there together?
- What might the missing numbers be? ___ x ____ = 36
- What are some answers you can make to multiplication questions using the numbers 3,4 and 5 each once?
- The answer to a division question is 5. What might the question be?
- A school has 400 pupils. They all come to school by bus, and each carries the same number of pupils. How many pupils might there be on each bus?
I am learning to: choose appropriate strategies for calculations involving multiplication and division
Card games
Dice Games
- Practice Pack
- Fast Facts
- HiLo
- Secret Pairs
- Hit the Deck (Extend)
Dice Games
- Double-Double – there is 3 differentiated levels of this game
I am learning to: solve simple purchasing problems.
I can identify the value of different coins. Identify amounts of money. Calculate the change given in an exchange. Recognising different currencies.
Low floor/high celling games
Do Dailies
Lower
Materials Monday
Give children the opportunity to use play money and an online catalogue and in pairs calculate the change from a variety of purchases. Observe children to see where their learning is at.
Calculating Change
https://www.teachstarter.com/engage/math-lab/?id=4632903&type=currency_au&theme=currency
students can calculate the change required when completing a simple transaction by using the Money Lab’s Cost and Change theme.
Mathletics
https://easyteaching.net/wp-content/uploads/2018/06/calculatingchangetoyshopwholedollar.pdf
https://easyteaching.net/wp-content/uploads/2018/06/calculatingchangetoyshopwholedollar2step.pdf
https://easyteaching.net/wp-content/uploads/2018/06/calculatingchangetoyshop5cents.pdf
https://www.youtube.com/watch?v=gGkpgHFoO6I
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic3/4_3_10.html
- Penny collections https://www.youcubed.org/tasks/penny-collection/
Do Dailies
Lower
- I bought something at the supermarket and got 5c change. How much did it cost and how much money did I give to pay for it?
- The price tag on a toy car is $2.75. What coins would I use to pay for this?
- I gave change of $1 using 20c, 10c and 5c coins. What might the change have looked like?
- Show some different ways to give change from $2 for an item costing $1.35 (use play coins)
- My friends and I shared an amount of money equally among us. We each got $1.20. How much money was there and how many friends might I have?
- I have $18 000 and want to buy two cars. What could I buy?
- I have more than $10 in coins, but I cannot change a $10 note into coins exactly. How much money might I have?
Materials Monday
Give children the opportunity to use play money and an online catalogue and in pairs calculate the change from a variety of purchases. Observe children to see where their learning is at.
Calculating Change
https://www.teachstarter.com/engage/math-lab/?id=4632903&type=currency_au&theme=currency
students can calculate the change required when completing a simple transaction by using the Money Lab’s Cost and Change theme.
- Select the ‘Cost and Change‘ theme in the settings menu.
- Click the purple dollar sign button to generate a random amount on the price tag (the randomised range can be edited in the settings menu).
- Drag an amount of money into the ‘Money Given’ column.
- Have students act as the cashier, dragging the change into the ‘Change’ column.
- Students can then click the ‘Check change’ button to see if the amount of change they offered is correct. (The price tag will animate green if correct or shake red if incorrect allowing them to try again.)
Mathletics
https://easyteaching.net/wp-content/uploads/2018/06/calculatingchangetoyshopwholedollar.pdf
https://easyteaching.net/wp-content/uploads/2018/06/calculatingchangetoyshopwholedollar2step.pdf
https://easyteaching.net/wp-content/uploads/2018/06/calculatingchangetoyshop5cents.pdf
https://www.youtube.com/watch?v=gGkpgHFoO6I
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic3/4_3_10.html
I am learning to: compare areas of regular and irregular shapes using informal units
I can understand what area is. Understand the difference between area and perimeter. Understand the difference between the terms regular and irregular. Use a variety of ways to measure the area of regular and irregular shapes. Determine which shape has a larger area.
From Making Maths Reasonable:
- Area is a two-dimensional attribute of the amount of space within the border of a 2D shape
- Units for measuring area need to have 2 dimensions. The best shape for a unit of area is a square
- Metric units of area are a square with a side of 1 metric unit of length e.g. cm
- A variety of 2D shapes can be made by combining other 2D shapes
- A variety of 2D shapes can be made by splitting 2D shapes into smaller parts
- Common metric units for area include mm2, cm2, m2 and hectares
- The area of different shapes can be compared by finding the total number of square units within each shape and comparing the numbers
- Volume is a three-dimensional attribute of the amount of space inside a 3D shape
- Units for measuring area need to have 3 dimensions – length, width and height
- The best shape for a unit of volume is a cube as it measures the same in all directions and it doesn’t matter which way it is placed inside the shape being measured
- Metric units of volume are a cubic with a side of 1 metric unit of length e.g. cm
- Common metric units for volume include mm3, cm3 and m3
- The volume of different shapes can be compared by finding the total number of cube units within each shape and comparing the numbers
Low floor/high celling games
Do Dailies
Lower
Middle
Material Monday
Post it note Art https://drive.google.com/file/d/1-asS04pDamaIFBnYBXrc0eP-UFJ-kcJM/view
Activities
Resources
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic11/4_11_4.html
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic11/4_11_5.html
Low floor/high celling games
Do Dailies
Lower
Middle
Upper
Materials Monday
Activities
Resources
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic10/4_10_6.html
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic11/4_11_1.html
https://www.youtube.com/watch?v=dNcJ4-JVN5M
- How close to 100 https://www.youcubed.org/tasks/how-close-to-100/
- Squares to stairs https://www.youcubed.org/tasks/squares-to-stairs/
- Youcubed my heart https://www.youcubed.org/tasks/youcubed-my-heart/
Do Dailies
Lower
- What are some things your hand will cover so that they cannot be seen? Whay are some things you cannot cover completely with your hand?
- What are some things you could cover exactly with four of your books?
Middle
- I used 20 objects (all the same) to cover my desk with no gaps. What might the objects be?
- It is possible to draw letters of the alphabet on grid paper. For example, this is what A would look like.
- A teddy left a footprint on grid paper. It measured 8 squares. What might the footprint look like?
- Using grid paper, draw some different right-angled triangles and work out their area.
- Draw as many triangles as you can with an area of 6cm2
Material Monday
Post it note Art https://drive.google.com/file/d/1-asS04pDamaIFBnYBXrc0eP-UFJ-kcJM/view
Activities
- Understanding Area
- Estimating and Measuring Area
- Studyladder
- Mathletics
- Assessment
Resources
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic11/4_11_4.html
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic11/4_11_5.html
Low floor/high celling games
- Ice Cream Scoop https://www.youcubed.org/tasks/ice-cream-scoop/
Do Dailies
Lower
- How many objects can you find that are longer than three handspans, but shorter than four handspans?
- What are some things that are about 1m long?
Middle
- How many different ways can you draw a line 10cm long?
- How many things can you find that are 10cm long?
Upper
- What do you know and what can you find out about 110mm?
Materials Monday
Activities
- Understanding Temperature
- Use thermometer to measure the temperature of different liquids
- Measuring with formal units of length
- In groups, supply the children with a ruler, a tape measure and a meter wheel. Ask them to go out on the oval and choose objects to measure using each of the resources. Take photos with their iPads. Discuss why they chose that object and children prepare a word document with photos and explanations (assessment)
Resources
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic10/4_10_6.html
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic11/4_11_1.html
https://www.youtube.com/watch?v=dNcJ4-JVN5M
I am learning to: create symmetrical shapes and patterns.
I can Draw shapes and patterns with symmetry
- A 2D shape has line (reflection) symmetry when one half of the shape is a mirror image of the other
- Shapes, objects or designs have line (reflection) symmetry when corresponding points are the same distance from the line of symmetry line after being reflected
- Shapes or designs have translation symmetry when corresponding points have moved the same distance after being translated
- Shapes or designs have rotational symmetry if corresponding points (will match if overlaid) have turned the same number of degrees after being rotated
Shapes are symmetric if you can divide them in half and both halves match exactly.
A line that divides symmetric shapes is called a line of symmetry. Some shapes have more than one line of symmetry.
Low floor/high celling games
As a class, create a pattern to the left of the coloured line on the grid. Use at least three different-coloured whiteboard markers. You might colour whole boxes or half-boxes, e.g. . Then copy the pattern over to the right of the coloured line to make a symmetrical design.
What different shapes with 4 sides can you create that have at least one line of symmetry.
Materials Monday
Draw half a pattern/shape/picture on your desk. Have your partner complete the other side.
Activities
- What’s happening? https://www.youcubed.org/tasks/whats-happening/
As a class, create a pattern to the left of the coloured line on the grid. Use at least three different-coloured whiteboard markers. You might colour whole boxes or half-boxes, e.g. . Then copy the pattern over to the right of the coloured line to make a symmetrical design.
What different shapes with 4 sides can you create that have at least one line of symmetry.
Materials Monday
Draw half a pattern/shape/picture on your desk. Have your partner complete the other side.
Activities
- Drawing shapes with lines of symmetry
- Symmetry drawing – Cat
- Assessment
Ripper Rides – imaths investigation:
This Investigation involves the design of a geometric pattern featuring triangles; horizontal, vertical, parallel and intersecting lines; angles and tessellating and transformed shapes. The Investigation is highly engaging as surfboards, skateboards and snowboards appeal to many students. Students will enjoy investigating various designs to produce a colourful model with a geometric pattern that fits the design brief
This Investigation involves the design of a geometric pattern featuring triangles; horizontal, vertical, parallel and intersecting lines; angles and tessellating and transformed shapes. The Investigation is highly engaging as surfboards, skateboards and snowboards appeal to many students. Students will enjoy investigating various designs to produce a colourful model with a geometric pattern that fits the design brief
I am learning to: classify angles in relation to a right angle.
I can Identify a right angle. Determine if an angle is larger or smaller than a right angel. Create right angles. Use correct terminology for angels larger (obtuse) and smaller (acute) than a right angle.
Low floor/high celling games
Do Dailies
Angles in My Name
Using our grid paper template, instruct your students to use a ruler to write their name in pencil on the grid paper, without any curved edges. Students trace over their name with a pen, then find each of the angles in their name. If their first name is short, they may wish to use their surname.
Materials Monday
Window Angles
Use Washi Tape and measure out the different angles the classroom window can show. Label Right, Acute and Obtuse.
Activities
Do Dailies
Angles in My Name
Using our grid paper template, instruct your students to use a ruler to write their name in pencil on the grid paper, without any curved edges. Students trace over their name with a pen, then find each of the angles in their name. If their first name is short, they may wish to use their surname.
Materials Monday
Window Angles
Use Washi Tape and measure out the different angles the classroom window can show. Label Right, Acute and Obtuse.
Activities
- Describing Angles
- Assessment
- Powerpoint
- https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic5/4_5_1.html
Low Floor/High Ceiling Activities
Do Dailies
Activities
- Finding 2D shapes in other 2D shapes
-
Resources
https://pod.pearsonplaces.com.au/Portals/0/assets/enVisionMaths/year4/topic5/4_5_5.html
Trapezium Pieces
LI: I am learning to… Use scaled instruments to measure. Solve word problems using number sentences involving multiplication.
Plenty of Pikelets
Your class is getting ready for Pikelet Day and the school is expecting a big, hungry crowd. You have found Grandma’s pikelet recipe, which makes enough pikelets for 8 people. You will need to adjust this recipe to feed your hungry friends and teachers.
Under adult supervision, try out Grandma’s recipe for 8 people. If all goes well, calculate the new quantities if necessary for your big Pikelet Day.
Your class is getting ready for Pikelet Day and the school is expecting a big, hungry crowd. You have found Grandma’s pikelet recipe, which makes enough pikelets for 8 people. You will need to adjust this recipe to feed your hungry friends and teachers.
Under adult supervision, try out Grandma’s recipe for 8 people. If all goes well, calculate the new quantities if necessary for your big Pikelet Day.
Division
Tessallations
Fractions
Tessallations
Fractions
Divisionhttp://www.arcademicskillbuilders.com/games/demolition/demolition.html