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Mathematics
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Five Times Tables - Groups, Arrays, Wheels, Tricks & Tips
Five times table with doubling and halving (multiply by 10 and halve strategy)
Step counting, Visual Animated Grouping, Arrays, Flashcards, Tips and Tricks.
All accessible from the main menu linking to each of the following elements:
1) Step counting hands (0-100)
2) Step counting flashcard (0-200)
3) Visual animated grouping of objects (1x5 up to 10x5) using ice-cream, balloons, fidget spinners, coffee cups, - Make a story to go with the visual
4) Arrays of dots with accompanying sums
5) Flashcards of sums in order, then another slide out of order.6) See product:give sum flashcards
7) click-to-show missing answer multiplication wheels (9 versions)
8) Slide that clearly shows product of times five always ends in a zero or a five; with two fix digits and flying in and out tens number
9) Visual explanation of the Multiply by 10 and Halve it trick: unifix cubes of x5 shown with a confused smiley, then unfix cubes showing x10 shown with a happy smiley, which is in turn covered to show that students can think times ten and then halve the answer to get the x5 answer.
Includes differentiated multiply by ten and halve worksheets
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Multiplication as Groups
Visual Multiplication. See video.
This PowerPoint is designed to introduce young students to multiplication visually with the use of multiplication input tables.
All facts for the 2, 5 and 10 times tables presented plus 16 other mixed facts. A total of 43 multiplication examples.
Different clipart themes for each of the 43 examples allowing for different story scenarios.
(e.g. 3x5 uses 3 types of birds with 5 birds in each group)
Matching turnaround facts are linked to from each slide.
Chosen facts can be directly jumped to from menu slide.
Multiplication sum, movement of items from small groups to one large group, and answer controlled by click of the mouse.
Designed by a teacher and used in real grade 1 and 2 classrooms.
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Mental Multiplication Strategies
8 Mental Strategies for Multiplication
These thoughtfully made PowerPoints are carefully designed to help students grasp commonly taught multiplication strategies ( and tricks) for x0, x1, x2, x3, x4, x5, x8, and x9 times tables. Ideal for years 3 and 4, but also helpful for year 5 and 6.
To multiply by 2 = double the number
To multiply by 3 = double the number and add a set
To multiply by 4 = double, then double again.
To multiply by 5 = multiply by 10 then halve
To multiply by 8 = double-double-double
To multiply by 9 = use your fingers/ the digits of answer added = 9
To multiply by 0 = the answer is always 0
To multiply by 1 = the answer is always that same number.
All the PowerPoints include examples to 12 and extensions to large multiplications to show that the strategy really comes in useful for doing tricky mental multiplication.
Please see video for a taster.
All slide animations are activated when you click the mouse, giving teacher and student thinking and explaining time. Video is sped up to get through the examples.
Includes some supporting, differentiated worksheets
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Arrays and Groups Introduction
Introductory worksheets for multiplication as arrays (and turnaround facts) and multiplication as groups.
Differentiated to include 2s, 5s, 3s, 4s and other facts.
Two versions of all worksheets - 1 version with differentiation chillies and one without.
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Clockwise and Anticlockwise Turns
Position, direction and movement, anti-clockwise, clockwise, fractions of turns
*Review clockwise and anti-clockwise turns by means of animated images of clocks and 11 other fun animated revolving images.
*Learn quarter, two-quarter/half, three-quarters and four-quarters/whole fractions of a circle
*simple following instruction game to review clockwise and anti-clockwise quarter, half, three-quarter and whole turns prior to or after watching a birds-eye animated image of a man standing on a divided circle making animated turns.
*In pairs practice turning a pencil clockwise and anti-clockwise quarter, half, three-quarter and whole turns prior to or after viewing an example.
PowerPoint whole-class teaching resource
Two page worksheet (in word & PDF format) using the same pencil turns image to consolidate learning.
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Division and Multiplication Worksheets
Differentiated worksheets to help with connecting division and multiplication.
Arrays hidden behind a clue - 3 levels LA x2 facts / MA x2,x3,x4 facts / HA x3,x4,x6,x9 facts.
colour match worksheets - fill in each fact. Then use the same colour to show the number facts that belong in the same family. All fact families from x2 to x10.
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Pi Day Math Day Magic Numbers
Pi Day / Math Day lesson activity.
Challenge your students to work out the mystery magic number and/or to use the given magic number to answer the questions
Mystery Magic Number Worksheets
Most of the answers to the questions on the worksheet are correct. However, 4 answers are wrong - colour these incorrect answers/boxes red. Use the 11 correct clues to work out the magic number.
When you think you know the magic number write it in the star.
Finally, using the magic number work out the answers to the 5 questions on the bottom row.
11 differentiated worksheets with answer sheets given.
Use the Given Magic Number to answer the questions worksheets
4 differentiated worksheets - teacher or learner writes a magic number in the star;then answer the 20 questions below using the magic number.
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Divide a 2-digit by a 1-digit Number Year 3
Master division with remainders! These 8 visual worksheets use arrays to teach year 3 students how to divide 2-digit numbers by 1-digit numbers, with and without remainders. Students circle groups in the arrays to visualize division and reinforce skip counting, multiples, and remainders. With mixed fact worksheets including sums with and without remainders.
Aligned to White Rose Scheme Step 9.
Another great year 3 divison resource: Division Part Whole Models Partitioning
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Three Times Table Trick
Three rimes table trick with arrays to help with the three times table multiplication strategy .
This clear, step-by-step and helpful PowerPoint will help students learn that multiplication by 3 can be done by doubling and adding another set.
e.g. to calculate 3 × 14:
first double 14 getting 28, then add another 14, (to get 3 times 14) which is 42.
21 Examples are presented (from 3 x 2 up to 3 x 21) in order, or from a hyperlink menu.
Each slide shows the sum and a confused face,
Then two lines of the matching array (showing the doubling array)
Then another set (another line of the array) is added
Whilst the matching thought process is shown with clear sums.
Finally everything apart from the x3 sum and array dissolve out, leaving just the sum, the answer and the x3 array.
Each part of the thought multiplication strategy is presented when you click the mouse, giving students time to work out and explain each step.
Includes 3 level differentiated mathcing sylte worksheets and skip counting x3 worksheets.
Also see my Multiplication Strategies pack which includes this trick and other common multiplication strategies
https://www.tes.com/teaching-resource/mental-multiplication-strategies-11756501
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Division Array PowerPoint - Think Multiplication Strategy
An introduction of the ‘think multiplication strategy’ to help with division.
An animated, interactive PowerPoint presentation with arrays of dots to help students visualize related multiplication and division facts.
A partially covered array showing only the number of rows in an array, but not the number of dots in each row is shown, along with a matching fact statement (e.g. “Altogether there are 40 dots”)
Students are encouraged to give the multiplication sentence AND related division sentence using the information shown (total number of dots & number of rows/groups) that helps work out the array proportions. e.g. 5 x ? = 40 and 40 ÷ 5= ?. 14 example arrays.
Includes 3 level differentiated division / multiplication worksheet in same style, plus colour matching facts for all tables x2-x10
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Times Tables PowerPoint (Times Two, Times One and Times Zero)
Made for my grade 3 class who are just starting to formally learn their times-tables.
Very visual resource using arrays with dots, hundred charts, step counting and various sum flashcards.
PowerPoint activity/presentation progressing in this slide order:
Counting in steps of two up to 120 from 0.
Count to 24 in steps of 2 with array being built.
100 square count in steps of two with pattern being revealed (2 sec each step).
100 square count in steps of two with pattern being revealed (1 sec each step).
Double the number with numbers in random order (doubling function in-out machine design).
2 times table with sum and array in order.
2 times table with sum and array turnaround in order.
2 times table with sum but no array
2 times table with sum and array out of order.
Answer shown and student to give sum.
Also included are the x0 and x1 timetables. Often overlooked when teaching multiplication, but essential to grasping a true understanding.
First slide is ‘times zero’ times table and shows a fixed golden zero with sum twisting in and out.
Emphasizing the rule that;
“When you multiply a number by zero, the answer is always zero”
Second slide is ‘times one’ times table and shows the multiplicand (the number being multiplied) emerging from itself and sliding over to the product (the answer)
Emphasizing the rule that;
“Any Number Times One is that Number / 1 x anything = itself”
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Doubling-and-Halving Strategy to Multiply (with Arrays)
A PowerPoint which introduces the ‘Doubling-and-Halving Strategy for Multiplication’.
This PowerPoint uses an array to show the multiplication strategy of doubling one factor and halving the other factor to help to work out some multiplication problems. Doubling and halving is therefore related to thinking that ‘restructures’ an array to make it more manageable to multiply (e.g. 3 × 18 = ___ can be rewritten as 6 × 9 = ___).
Very visual resource which helps students see that the total number of circles in an array (the product) stays the same when an array is cut and rearranged.
No text: so recommend that the teacher walks through the first couple of example slides and then students verbally explain the following examples to their peers.
Order of animations:
Tricky array and sum is shown.
Confused smiley bounces in. (explain here that if you don’t know your 15 times table etc. this could be hard)
Scissors appear and cut the array - array restructures into simpler array (double of one factor/half of the other)
New corresponding sum appears - click & answer is shown
Array restructures to first formation and tricky sum is shown again
As the total number of circles has remained the same throughout the sequence the answer should be obvious :-)
I use it alongside other strategies so that it is presented as an option for mental computation involving multiplication.
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Mental Subtraction Strategy
Compensation Strategy for Mental Subtraction.
By visually illustrating the mental subtraction strategy of compensation by using moving base ten blocks and a bin my students where able to better understand how answers are adjusted by adding back or subtracting more and therefore compensating for the rounding which made the question easier.
PowerPoint includes 5 examples with base ten blocks and 5 matching slides with matching sums but just the thought process and 2 additional examples without base ten blocks to help learners move from a pictorial representation to an abstract one.
Download includes a double sided worksheet based around the PowerPoint teaching.
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Amazing Arrays
The seaside themed PowerPoint explains and shows what an array is, with fun seaside and beach illustrations, arrays using circles, clear examples, top tips for saving time e.g. counting in 2s, 5s and 10s.
(Please see video for a 8 second per slide run through of the PowerPoint, actual PowerPoint is far smoother and controlled via right click to begin each animation, giving time for explanations and children to think and answer)
Also included a fun, introductory array cut-match-stick worksheet (2 version: one at a lower level and one slightly harder)
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2 Digit by 1 Digit Multiplication
Grid Method / Place Value PowerPoint uses arrays and smiley faces to show the mental multiplication strategy of using place value and knowledge of multiplication to work out a 2-digit number by a 1-digit number - with exchange (such as 8 x 35, 9 x 33 etc.).
No text to read or get distracted by.
12 examples which build from 4 x 18 & 3 x 22 on the first two slides up to 9 x 33 & 8 x 83 on the last two slides.
All slides follow the same animations:
*Array and multiplication problem is shown.
Confused smiley bounces in (teacher explains that if you don’t know your 83 times table you’re going to be confused)
*array changes to show place value calculations.
*Confused face is replaced by a happy face as he can now do the multiplication problem.
12 examples clearly help grade 3,4 or 5 students master and understand this important skill.
With matching differentiate worksheets for multiplying 2-digit number by a 1-digit number.
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Division and Multiplication / Combining and Sharing Objects
Input-Output Tables to help relate multiplication and division.
PowerPoint focuses on building a connection between multiplication and division operations using an active model to reinforce the connection between the two operations.
Visual of the relationship between division and multiplication using input and output tables to show that division is sharing and multiplication is combining.
The PowerPoint is designed to encourage students to combine equal groups of clipart images to make a total (multiplication), as well as share a collection to form equal groups (division).
The PowerPoint uses a variety of public domain clipart images to act out a multiplication or division problems to encourage students to determine the total and reverse the action to determine the quotient and vice versa. Your students can make up little stories to help them understand each operation.
x3/÷3 & x4/÷4 Facts used (28 slides).
Includes differentiated worksheets for 3’s and 4’s facts
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Multiplication Wheels Interactive PowerPoint
This interactive (click to show answer) Multiplication Wheel PowerPoint covers all the times tables from x2 up to x12.
Includes A5 multiplication wheel booklet.
Each times table has 9 different multiplication wheels on 9 separate slides (linkable from a menu page):
MISSING PRODUCTS (click inner number to reveal outer answer)
1) Wheel in order from 0 start
2) Wheel in order from 2 start
3) Wheel in order from 4 start
4) Wheel in mixed order, mix version 1
5) Wheel in mixed order, mix version 2
MISSING FACTORS (click outer number to reveal inner number)
6) Wheel in mixed order, mix version 1
7) Wheel in mixed order, mix version 2
MISSING PRODUCTS AND FACTORS (mixed missing inner and outer numbers)
8) Wheel in mixed order, mix version 1
9) Wheel in mixed order, mix version 2
Each slide can link back to main menu, or to that specific times table menu.
Could be used as whole class quiz, warm up, game or as an individual program on a laptop for students to work on independently.
ALSO INCLUDES MULTIPLICATION WHEEL BOOKLET. Two wheels on each A4 page, all times tables from 1-12, print back to back, fold, assemble in order, fill in the answers. Editable Word format and PDF included.
My students love making these little books every year.
Hope that you will use the 2 PowerPoints and booklet time and time again.
Blank Numberlines
Blank 0-20 numberlines (with equal lines increasing by 1s) & 0-100 numberlines (with increases by fives and tens)
And one A4 page of 100 numberlines, with increases by 1s (small gray lines) and long black line showing steps of 10.
Use them how you wish...start at 0, start at 300, start at 900.
For students to fill in the numbers under or above the dashes.
I will print onto card and laminate, or stick on top of mini whiteboards and call out numbers for students to locate the number on the numberlines.
Math Word Problem Anchor Chart
Simple math word problem poster / anchor chart for addition and subtraction word problems for KS1 learners.
Visual Number Halves
halves. half. 1/2.
Look at the group of fruit and draw a line to make each group into two groups of equal quantity.
Then fill in the missing numbers below the clip art: Half of 6 is 3 etc.