B l i t z I t M
B l i t z I t M a t h e m a t i c s 4 Think Bubble Lessons: Sweeps 17 -24 Division facts Lessons to develop division number facts strategies
B l i t z I t M a t h e m a t i c s 4 A full mathematics program for Year 4 designed to develop conceptual understanding and mathematical thinking for all students © Professor Pete's Classroom. All rights reserved.
B l i t z I t INDEX Index Sweeps 17 -24 M a t h e m a t i c s 4
B l i t z I t INDEX M a t h e m a t i c s A D V I C E F O R 4 T E A C H E R S Using the Radar Book for daily practice of number facts ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder
B l i t z I t M a t h e m a t i c s 4 INDEX 5 Minutes A Day (Five. MAD) Worksheets • An essential feature of the Blitz. It Mathematics program is the incorporation of timed daily practice worksheets • These worksheets are organised into 32 sweeps, with 4 worksheets per sweep • Worksheets are in the Blitz. It Mathematics 4 Radar Book • The sweeps have been carefully sequenced to support the development of students’ recall of number facts, as a key foundation for developing fluency and understanding as students learn mathematics Sweeps 1 -8: Addition & Subtraction Sweeps 9 -16: Multiplication Sweeps 17 -24: Division Sweeps 25 -32: Mental strategies
B l i t z I t M a t h e m a t i c s 4 INDEX Worksheet 17 A: Pretest • Before beginning this slide show, students should complete worksheet 17 A in the Radar Book • record each student’s time and accuracy • This is a pretest of division number fact recall, covered in Sweeps 17 -24 • Worksheet 24 D is a posttest of the same content
B l i t z I t M a t h e m a t i c s 4 INDEX Think Bubble Mathematics lessons • The Five. MAD worksheets are matched to Power. Point-based animated lessons on the strategies, such as those in this slide show • We strongly recommend that students experience each Think Bubble lesson before attempting each sweep’s worksheets • The Think Bubble lessons are contained in four files, to be downloaded from the Blitz. It Mathematics website (teacher login required) Sweeps 1 -8: Addition & Subtraction Sweeps 17 -24: Division Sweeps 9 -16: Multiplication Sweeps 25 -32: Mental strategies
B l i t z I t M a t h e m a t i c s 4 INDEX Think Bubble lesson slide layout Link to Index slide Learning focus instructions Key ‘Think Bubble’ learning point Teacher notes Animated symbols & virtual teaching resources
B l i t z I t M a t h e m a t i c s 4 INDEX How to use these slides • Show students the slides to explain the strategies for each Sweep • It is recommended that students write answers to selected questions in their exercise books before starting the practice worksheets in the Radar Book
B l i t z I t M a t h e m a t i c s 4 INDEX Why ‘Blitz. It’? • The German word ‘blitz’ means ‘lightning’ • To ‘blitz’ something has come to represent decisive action, speed and achievement of goals in the face of adversity • It is our goal for all students using these resources to achieve success in learning mathematics, including: • fluency • speed • accuracy
B l i t z I t M a t h e m a t i c s 4 INDEX Why ‘Radar’? • A radar is an essential instrument to observe what is ordinarily invisible: a plane or ship, perhaps in a fog or over the horizon • The Blitz. It Mathematics Radar program is designed to reveal students’ mathematical abilities and competence, especially with number facts • Sticking with this theme, a ‘Sweep’ is a segment of the Radar program that focuses on one aspect or strategy
B l i t z I t M a t h e m a t i c s 4 INDEX Sweep 17 17 A Pretest Five. MAD worksheets: 17 B-17 D Linking multiplication & division, ÷ 2, ÷ 5 ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder (Acara, 2010 to present)
B l i t z I t M a t h e m a t i c s 4 INDEX Slides Overview: Sweep #17
B l i t z I t M a t h e m a t i c s 4 INDEX 17 A Pretest • Explain to students that the pretest will tell how well they know these facts before starting this topic • Students have 5 minutes maximum to work through the pretest • Check results for: – time – accuracy • • • Have students work through the pretest on their own Many students may find these questions difficult however do not allow them extra time to complete the test Use an on-screen timer so students can record the time taken to complete the pretest
B l i t z I t M a t h e m a t i c s 4 INDEX Division related facts There are three numbers in • Here are 6 rows of each number fact, which 2 blocks appear in all of them. • Write it as a multiplication The four facts make a number sentence ‘number fact family’. • Write the matching division fact • Turn the blocks around and write the turnaround multiplication and division facts • Have students write the number sentences 2 6 These four facts go together. Remember 12 one and you remember them all! 6 x 2 = 12 12 ÷ 6 = 2 2 x 6 = 12 12 ÷ 2 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 12 ÷ 2 = 6 ÷ 12 = 2 6 • Check the fact family: • This missing number question can be answered by recalling the related fact family • Ask the question ‘Can you remember what number multiplied by 2 equals 12? ’ 2 x 6 = 12 6 x 2 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 12 ÷ 6 = 2 12 2 = ÷ 6 • Find the turnaround division fact: • This example shows how dividing by 2 and dividing by 6 are turnaround facts, in the same fact family 2 x 6 = 12 6 x 2 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 2 x 6 = 12 ÷ = • This is the same number fact as 12 ÷ 2 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 6 6 12 2 x 6 = 12 6 x 2 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 6 x 2 = 12 ÷ = • This is the same number fact as 12 ÷ 6 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 2 2 12 2 x 6 = 12 6 x 2 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 12 ÷ 6 = 2 12 ÷ ÷ = • These two division facts are turnarounds of each other. 6 2 = 6 2 x 6 = 12 6 x 2 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 12 ÷ 2 = 6 12 ÷ x • This is a ‘missing multiplicand’ question: ‘something divided by 2 equals 6’ • It can be answered with the related standard multiplication fact = 12 2 = 6 2 x 6 = 12 6 x 2 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 18 ÷ 2 = 9 ÷ 18 = 2 9 • Check the fact family: 2 x 9 = 18 9 x 2 = 18 18 ÷ 2 = 9 18 ÷ 9 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 6 ÷ 3 = 2 6 2 = ÷ 3 • Find the turnaround division fact: 2 x 3=6 3 x 2=6 6÷ 2=3 6÷ 3=2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 2 x 7 = 14 ÷ = 7 14 2 x 7 = 14 7 x 2 = 14 14 ÷ 2 = 7 14 ÷ 7 = 2 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 2 x 8 = 16 ÷ = 8 16 2 x 8 = 16 8 x 2 = 16 16 ÷ 2 = 8 16 ÷ 8 = 2 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 20 ÷ 10 = 2 20 ÷ ÷ = 10 2 x 10 = 20 10 x 2 = 20 20 ÷ 2 = 10 20 ÷ 10 = 2 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 4 ÷ 2 = 2 4 ÷ x = 4 2 = 2 2 x 2=4 4÷ 2=2
B l i t z I t M a t h e m a t i c s INDEX 4 ÷ 2 0 x 2=0 1 x 2=2 2 x 2=4 3 x 2=6 4 x 2=8 5 x 2 = 10 6 x 2 = 12 7 x 2 = 14 8 x 2 = 16 9 x 2 = 18 10 x 2 = 20 2 x 0 But if I remember how they =0 0÷ 2=0 Look at all these 2 x 1 =are linked I only need to 2 2÷ 2=1 number facts to 2 x 2 remember!!!! = remember the one set 4 4÷ 2=2 2 x 3=6 6÷ 2=3 2 x 4=8 8÷ 2=4 2 x 5 = 10 10 ÷ 2 = 5 2 x 6 = 12 12 ÷ 2 = 6 2 x 7 = 14 14 ÷ 2 = 7 2 x 8 = 16 16 ÷ 2 = 8 2 x 9 = 18 18 ÷ 2 = 9 20 ÷ 2 = 10 2 x 10 = 20 2÷ 1=2 4÷ 2=2 6÷ 3=2 8÷ 4=2 10 ÷ 5 = 2 12 ÷ 6 = 2 14 ÷ 7 = 2 16 ÷ 8 = 2 18 ÷ 9 = 2 20 ÷ 10 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 5 x 0 2 4 2 0 2 x 0=0 0 x 2=0 0÷ 2=0 2 1 2 x 1=2 1 x 2=2 2÷ 2=1 2÷ 1=2 2 8 6 2 2 x 2=4 4÷ 2=2 2 3 2 x 3=6 3 x 2=6 6÷ 2=3 6÷ 3=2 2 4 2 x 4=8 4 x 2=8 8÷ 2= 4 8÷ 4= 2
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 2 x 2 5 2 x 5 = 10 5 x 2 = 10 10 ÷ 2 = 5 10 ÷ 5 = 2 • • 14 12 10 2 6 2 x 6 = 12 6 x 2 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2 Have students write the fact family for each of the triangles Only the harder 2 x examples are included here 2 18 16 7 2 x 7 = 14 7 x 2 = 14 14 ÷ 2 = 7 14 ÷ 7 = 2 2 8 2 x 8 = 16 8 x 2 = 16 16 ÷ 2 = 8 16 ÷ 8 = 2 2 9 2 x 9 = 18 9 x 2 = 18 18 ÷ 2 = 9 18 ÷ 9 = 2
B l i t z I t M a t h e m a t i c s 4 INDEX 5 Division related facts There are three numbers • Here are 7 rows of 5 blocks in each number fact, • Write it as a multiplication which appear in all of number sentence them. The three numbers • Write the matching are in a ‘number fact division fact family’. • Turn the blocks around and write the turnaround multiplication and division facts • Have students write the number sentences 5 7 7 These four facts go together. Remember 35 one and you remember them all! 7 x 5 = 35 35 ÷ 7 = 5 5 x 7 = 35 35 ÷ 5 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 20 ÷ 5 = 4 ÷ THINK: Does my number sentence make sense? Is it one of the facts in the family? • This missing number question can be answered by recalling the related fact family • Ask the question ‘Can you remember what number multiplied by 5 equals 20? ’ 20 = 5 4 • Check the fact family: 5 x 4 = 20 4 x 5 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 20 ÷ 4 = 5 20 5 = ÷ 4 • Find the turnaround division fact: • This example shows how dividing by 5 and dividing by 4 are turnaround facts, in the same fact family 5 x 4 = 20 4 x 5 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 5 x 4 = 20 ÷ This is the product when both these numbers are multiplied = 4 These are the numbers that turn around • This is the same number fact as 20 ÷ 5 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 4 20 5 x 4 = 20 4 x 5 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 4 x 5 = 20 ÷ = • This is the same number fact as 20 ÷ 4 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 5 5 20 5 x 4 = 20 4 x 5 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 20 ÷ 4 = 5 20 ÷ ÷ = 4 This is the product of 5 x 4. It is found at the beginning of the division and its position doesn’t change in its matching turn around. • These two division facts are turnarounds of each other. 5 = 4 5 x 4 = 20 4 x 5 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 20 ÷ 5 = 4 20 ÷ x • This is a ‘missing multiplicand’ question: ‘something divided by 5 equals 4’ • It can be answered with the related standard multiplication fact = 20 5 = 4 5 x 4 = 20 4 x 5 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 35 ÷ 5 = 7 ÷ 35 = 5 7 • Check the fact family: 5 x 7 = 35 7 x 5 = 35 35 ÷ 5 = 7 35 ÷ 7 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 40 ÷ 8 = 5 40 5 = ÷ 8 • Find the turnaround division fact: 5 x 8 = 40 8 x 5 = 40 40 ÷ 5 = 8 40 ÷ 8 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 5 x 9 = 45 ÷ = 9 45 5 x 9 = 45 9 x 5 = 45 45 ÷ 5 = 9 45 ÷ 9 = 5 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 5 x 3 = 15 ÷ = 3 15 5 x 3 = 15 3 x 5 = 15 15 ÷ 5 = 3 15 ÷ 3 = 5 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 30 ÷ 6 = 5 30 ÷ ÷ = 6 5 x 6 = 30 6 x 5 = 30 30 ÷ 5 = 6 30 ÷ 6 = 5 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 25 ÷ 5 = 5 25 ÷ x = 25 5 = 5 5 x 5 = 25 25 ÷ 5 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX ÷ 5 0 x 5=0 1 x 5=5 2 x 5 = 10 3 x 5 = 15 4 x 5 = 20 5 x 5 = 25 6 x 5 = 30 7 x 5 = 35 8 x 5 = 40 9 x 5 = 45 10 x 5 = 50 5 x 0=0 5 x 1=5 5 x 2 = 10 5 x 3 = 15 5 x 4 = 20 5 x 5 = 25 5 x 6 = 30 5 x 7 = 35 5 x 8 = 40 5 x 9 = 45 5 x 10 = 50 0÷ 5=0 5÷ 5=1 10 ÷ 5 = 2 15 ÷ 5 = 3 20 ÷ 5 = 4 25 ÷ 5 = 5 30 ÷ 5 = 6 35 ÷ 5 = 7 40 ÷ 5 = 8 45 ÷ 5 = 9 50 ÷ 5 = 10 5÷ 1=5 10 ÷ 2 = 5 15 ÷ 3 = 5 20 ÷ 4 = 5 25 ÷ 5 = 5 30 ÷ 6 = 5 35 ÷ 7 = 5 40 ÷ 8 = 5 45 ÷ 9 = 5 50 ÷ 10 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 5 x We have already 0 5 learned x 2 facts, so there is no need to learn them again 10 5 0 5 x 0=0 0 x 5=0 0÷ 5=0 5 1 5 x 1=5 1 x 5=5 5÷ 5=1 5÷ 1=5 5 20 15 2 5 x 2 = 10 2 x 5 = 10 10 ÷ 5 = 2 10 ÷ 2 = 5 5 3 5 x 3 = 15 3 x 5 = 15 15 ÷ 5 = 3 15 ÷ 3 = 5 5 4 5 x 4 = 20 4 x 5 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 5 x 5 5 5 x 5 = 25 25 ÷ 5 = 5 • 35 30 25 5 6 5 x 6 = 30 6 x 5 = 30 30 ÷ 5 = 6 30 ÷ 6 = 5 After this slide students can now complete Five. MAD worksheets 17 A-17 D in the Radar Book 5 45 40 7 5 x 7 = 35 7 x 5 = 35 35 ÷ 5 = 7 35 ÷ 7 = 5 5 8 5 x 8 = 40 8 x 5 = 40 40 ÷ 5 = 8 40 ÷ 8 = 5 5 9 5 x 9 = 45 9 x 5 = 45 45 ÷ 5 = 9 45 ÷ 9 = 5
B l i t z I t M a t h e m a t i c s 4 INDEX Sweep 18 Five. MAD worksheets: 18 A-18 D ÷ 10, ÷ 3 ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder (Acara, 2010 to present)
B l i t z I t M a t h e m a t i c s 4 INDEX Slides Overview: Sweep #18
B l i t z I t M a t h e m a t i c s 4 INDEX Dividing by 10 60 ÷ 10 = When we divide by 10, all the digits move right one place • Have students think about whether the answer will be larger or smaller. If smaller then the digits move right so the digits have a smaller value. • Don’t teach students to just cross off the zero as this causes problems when decimals or numbers with another digit in the ones place are introduced 6 60
B l i t z I t M a t h e m a t i c s 4 INDEX Dividing by 10 80 ÷ 10 = 8 80
B l i t z I t M a t h e m a t i c s 4 INDEX Dividing by 10 40 ÷ 10 = 4 These are just so easy, there is no need to learn them as a separate set 40
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 18 ÷ 3 = 6 ÷ 18 = 3 6 • Check the fact family: • This missing number question can be answered by recalling the related fact family • Ask the question ‘Can you remember what number multiplied by 3 equals 18? ’ 3 x 6 = 18 6 x 3 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 18 ÷ 6 = 3 18 3 = ÷ 6 • Find the turnaround division fact: • This example shows how dividing by 3 and dividing by 6 are turnaround facts, in the same fact family 3 x 6 = 18 6 x 3 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 3 x 6 = 18 ÷ = • This is the same number fact as 18 ÷ 3 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 6 6 18 3 x 6 = 18 6 x 3 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 6 x 3 = 18 ÷ = • This is the same number fact as 18 ÷ 6 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 3 3 18 3 x 6 = 18 6 x 3 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 18 ÷ 6 = 3 18 ÷ ÷ = • These two division facts are turnarounds of each other. 6 3 = 6 3 x 6 = 18 6 x 3 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 18 ÷ 3 = 6 18 ÷ x • This is a ‘missing multiplicand’ question: ‘something divided by 3 equals 6’ • It can be answered with the related standard multiplication fact = 18 3 = 6 3 x 6 = 18 6 x 3 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 27 ÷ 3 = 9 ÷ 27 = 3 9 • Check the fact family: 3 x 9 = 27 9 x 3 = 27 27 ÷ 3 = 9 27 ÷ 9 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 12 ÷ 4 = 3 12 3 = ÷ 4 • Find the turnaround division fact: 3 x 4 = 12 4 x 3 = 12 12 ÷ 3 = 4 12 ÷ 4 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 3 x 8 = 24 ÷ = 8 24 3 x 8 = 24 8 x 3 = 24 24 ÷ 3 = 8 24 ÷ 8 = 3 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 5 x 3 = 15 ÷ = 3 15 3 x 5 = 15 5 x 3 = 15 15 ÷ 3 = 5 15 ÷ 5 = 3 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 21 ÷ 7 = 3 21 ÷ ÷ = 7 3 x 7 = 21 7 x 3 = 21 21 ÷ 3 = 7 21 ÷ 7 = 3 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 18 9 ÷ 3 = 3 9 ÷ x = 9 3 = 3 3 x 3=9 9÷ 3= 3
B l i t z I t M a t h e m a t i c s 4 INDEX ÷ 3 0 x 3=0 1 x 3=3 2 x 3=6 3 x 3=9 4 x 3 = 12 5 x 3 = 15 6 x 3 = 18 7 x 3 = 21 8 x 3 = 24 9 x 3 = 27 10 x 3 = 30 3 x 0=0 3 x 1=3 3 x 2=6 3 x 3=9 3 x 4 = 12 3 x 5 = 15 3 x 6 = 18 3 x 7 = 21 3 x 8 = 24 3 x 9 = 27 3 x 10 = 30 0÷ 3=0 3÷ 3=1 6÷ 3=2 9÷ 3=3 12 ÷ 3 = 4 15 ÷ 3 = 5 18 ÷ 3 = 6 21 ÷ 3 = 7 24 ÷ 3 = 8 27 ÷ 3 = 9 30 ÷ 3 = 10 3÷ 1=3 6÷ 2=3 9÷ 3=3 12 ÷ 4 = 3 15 ÷ 5 = 3 18 ÷ 6 = 3 21 ÷ 7 = 3 24 ÷ 8 = 3 27 ÷ 9 = 3 30 ÷ 10 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 3 x We have already 0 3 learned x 2 facts, so there is no need to learn them again 6 3 0 3 x 0=0 0 x 3=0 0÷ 3=0 3 1 3 x 1=3 1 x 3=3 3÷ 3=1 3÷ 1=3 3 12 9 2 3 x 2=6 2 x 3=6 6÷ 3=2 6÷ 2=3 3 3 3 x 3=9 9÷ 3=3 3 4 3 x 4 = 12 4 x 3 = 12 12 ÷ 3 = 4 12 ÷ 4 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication. We have already fact families: 3 x learned x 5 facts, so there is no need to learn them again 3 5 5 x 3 = 15 3 x 5 = 15 15 ÷ 3 = 5 15 ÷ 5 = 3 • 21 18 15 3 6 3 x 6 = 18 6 x 3 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3 After this slide students can now complete Five. MAD worksheets 18 A-18 D in the Radar Book 3 27 24 7 3 x 7 = 21 7 x 3 = 21 21 ÷ 3 = 7 21 ÷ 7 = 3 3 8 3 x 8 = 24 8 x 3 = 24 24 ÷ 3 = 8 24 ÷ 8 = 3 3 9 3 x 9 = 27 9 x 3 = 27 27 ÷ 3 = 9 27 ÷ 9 = 3
B l i t z I t M a t h e m a t i c s 4 INDEX Sweep 19 Five. MAD worksheets: 19 A-19 D ÷ 4 ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder (Acara, 2010 to present)
B l i t z I t M a t h e m a t i c s 4 INDEX Slides Overview: Sweep #19
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 32 ÷ 4 = 8 ÷ 32 = 4 8 • Check the fact family: • This missing number question can be answered by recalling the related fact family • Ask the question ‘Can you remember what number multiplied by 4 equals 32? ’ 4 x 8 = 32 8 x 4 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 32 ÷ 8 = 4 32 4 = ÷ 8 • Find the turnaround division fact: • This example shows how dividing by 4 and dividing by 8 are turnaround facts, in the same fact family 4 x 8 = 32 8 x 4 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 4 x 8 = 32 ÷ = • This is the same number fact as 32 ÷ 4 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 8 8 32 4 x 8 = 32 8 x 4 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 4 x 8 = 32 ÷ = • This is the same number fact as 32 ÷ 4 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 8 8 32 4 x 8 = 32 8 x 4 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 8 x 4 = 32 ÷ = • This is the same number fact as 32 ÷ 8 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 4 4 32 4 x 8 = 32 8 x 4 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 32 ÷ 8 = 4 32 ÷ ÷ = • These two division facts are turnarounds of each other. 8 4 = 8 4 x 8 = 32 8 x 4 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 32 ÷ 4 = 8 32 ÷ x • This is a ‘missing multiplicand’ question: ‘something divided by 4 equals 8’ • It can be answered with the related standard multiplication fact = 32 4 = 8 4 x 8 = 32 8 x 4 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 28 ÷ 4 = 7 ÷ 28 = 4 7 • Check the fact family: 4 x 7 = 28 7 x 4 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 12 ÷ 3 = 4 12 4 = ÷ 3 • Find the turnaround division fact: 4 x 3 = 12 3 x 4 = 12 12 ÷ 4 = 3 12 ÷ 3 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 4 x 6 = 24 ÷ = 8 24 4 x 6 = 24 6 x 4 = 24 24 ÷ 4 = 6 24 ÷ 6 = 4 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 5 x 4 = 20 ÷ = 4 20 4 x 5 = 20 5 x 4 = 20 20 ÷ 4 = 5 20 ÷ 5 = 4 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 36 ÷ 9 = 4 36 ÷ ÷ = 9 4 x 9 = 36 9 x 4 = 36 36 ÷ 4 = 9 36 ÷ 9 = 4 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 16 ÷ 4 = 4 16 ÷ x = 16 4 = 4 4 x 4 = 16 16 ÷ 4 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX ÷ 4 0 x 4=0 1 x 4=4 2 x 4=8 3 x 4 = 12 4 x 4 = 16 5 x 4 = 20 6 x 4 = 24 7 x 4 = 28 8 x 4 = 32 9 x 4 = 36 10 x 4 = 40 4 x 0=0 4 x 1=4 4 x 2=8 4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24 4 x 7 = 28 4 x 8 = 32 4 x 9 = 36 4 x 10 = 40 0÷ 4=0 4÷ 4=1 8÷ 4=2 12 ÷ 4 = 3 16 ÷ 4 = 4 20 ÷ 4 = 5 24 ÷ 4 = 6 28 ÷ 4 = 7 32 ÷ 4 = 8 36 ÷ 4 = 9 40 ÷ 4 = 10 4÷ 1=4 8÷ 2=4 12 ÷ 3 = 4 16 ÷ 4 = 4 20 ÷ 5 = 4 24 ÷ 6 = 4 28 ÷ 7 = 4 32 ÷ 8 = 4 36 ÷ 9 = 4 40 ÷ 10 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 4 x We have already 0 4 learned x 2 and x 3 facts, so there is no need to learn them again 8 4 0 4 x 0=0 0 x 4=0 0÷ 4=0 4 1 4 x 1=4 1 x 4=4 4÷ 4=1 4÷ 1=4 4 16 12 2 4 x 2=8 2 x 4=8 8÷ 4=2 8÷ 2=4 4 3 4 x 3 = 12 3 x 4 = 12 12 ÷ 4 = 3 12 ÷ 3 = 4 4 x 4 = 16 16 ÷ 4 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 4 x 24 20 4 5 5 x 4 = 20 4 x 5 = 20 20 ÷ 4 = 5 20 ÷ 5 = 4 • 4 28 6 4 x 6 = 24 6 x 4 = 24 24 ÷ 4 = 6 24 ÷ 6 = 4 After this slide students can now complete Five. MAD worksheets 19 A-19 D in the Radar Book 4 36 32 7 4 x 7 = 28 7 x 4 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4 4 8 4 x 8 = 32 8 x 4 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4 4 9 4 x 9 = 36 9 x 4 = 36 36 ÷ 4 = 9 36 ÷ 9 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Sweep 20 Five. MAD worksheets: 20 A-20 D ÷ 9 ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder (Acara, 2010 to present)
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 45 ÷ 9 = 5 ÷ 45 = 9 5 • Check the fact family: • This missing number question can be answered by recalling the related fact family • Ask the question ‘Can you remember what number multiplied by 9 equals 45? ’ 9 x 5 = 45 5 x 9 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 45 ÷ 5 = 9 45 9 = ÷ 5 • Find the turnaround division fact: • This example shows how dividing by 9 and dividing by 5 are turnaround facts, in the same fact family 9 x 5 = 45 5 x 9 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 9 x 5 = 45 ÷ = • This is the same number fact as 45 ÷ 9 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 5 5 45 9 x 5 = 45 5 x 9 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 5 x 9 = 45 ÷ = • This is the same number fact as 45 ÷ 5 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 9 9 45 9 x 5 = 45 5 x 9 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 45 ÷ 5 = 9 45 ÷ ÷ = • These two division facts are turnarounds of each other. 5 9 = 5 9 x 5 = 45 5 x 9 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 45 ÷ 9 = 5 45 ÷ x • This is a ‘missing multiplicand’ question: ‘something divided by 9 equals 5’ • It can be answered with the related standard multiplication fact = 45 9 = 5 9 x 5 = 45 5 x 9 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 18 ÷ 9 = 2 ÷ 18 = 9 2 • Check the fact family: 9 x 2 = 18 2 x 9 = 18 18 ÷ 9 = 2 18 ÷ 2 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 63 ÷ 7 = 9 63 9 = ÷ 7 • Find the turnaround division fact: 9 x 7 = 63 7 x 9 = 63 63 ÷ 9 = 7 63 ÷ 7 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 9 x 6 = 54 ÷ = 6 54 9 x 6 = 54 6 x 9 = 54 54 ÷ 9 = 6 54 ÷ 6 = 9 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 8 x 9 = 72 ÷ = 9 72 9 x 8 = 72 8 x 9 = 72 72 ÷ 9 = 8 72 ÷ 8 = 9 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 81 ÷ 9 = 9 81 ÷ ÷ = 9 9 x 9 = 81 81 ÷ 9 = 9 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 18 ÷ 9 = 2 18 ÷ x = 18 9 = 2 9 x 2 = 18 2 x 9 = 18 18 ÷ 9 = 2 18 ÷ 2 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX ÷ 9 0 x 9=0 1 x 9=9 2 x 9 = 18 3 x 9 = 27 4 x 9 = 36 5 x 9 = 45 6 x 9 = 54 7 x 9 = 63 8 x 9 = 72 9 x 9 = 81 10 x 9 = 90 9 x 0=0 9 x 1=9 9 x 2 = 18 9 x 3 = 27 9 x 4 = 36 9 x 5 = 45 9 x 6 = 54 9 x 7 = 63 9 x 8 = 72 9 x 9 = 81 9 x 10 = 90 0÷ 9=0 9÷ 9=1 18 ÷ 9 = 2 27 ÷ 9 = 3 36 ÷ 9 = 4 45 ÷ 9 = 5 54 ÷ 9 = 6 63 ÷ 9 = 7 72 ÷ 9 = 8 81 ÷ 9 = 9 90 ÷ 9 = 10 9÷ 1=9 18 ÷ 2 = 9 27 ÷ 3 = 9 36 ÷ 4 = 9 45 ÷ 5 = 9 54 ÷ 6 = 9 63 ÷ 7 = 9 72 ÷ 8 = 9 81 ÷ 9 = 9 90 ÷ 10 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 9 x 0 9 18 9 0 9 x 0=0 0 x 9=0 0÷ 9=0 9 1 9 x 1=9 1 x 9=9 9÷ 9=1 9÷ 1=9 9 36 27 2 9 x 2 = 18 2 x 9 = 18 18 ÷ 9 = 2 18 ÷ 2 = 9 9 3 9 x 3 = 27 3 x 9 = 27 27 ÷ 9 = 3 27 ÷ 3 = 9 9 4 9 x 4 = 36 4 x 9 = 36 36 ÷ 9 = 4 36 ÷ 4 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 9 x 54 45 9 5 5 x 9 = 45 9 x 5 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9 • 9 63 6 9 x 6 = 54 6 x 9 = 54 54 ÷ 9 = 6 54 ÷ 6 = 9 After this slide students can now complete Five. MAD worksheets 20 A-20 D in the Radar Book 9 81 72 7 9 x 7 = 63 7 x 9 = 63 63 ÷ 9 = 7 63 ÷ 7 = 9 9 8 9 x 8 = 72 8 x 9 = 72 72 ÷ 9 = 8 72 ÷ 8 = 9 9 x 9 = 81 81 ÷ 9 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Sweep 21 Five. MAD worksheets: 21 A-21 D ÷ 6 ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder (Acara, 2010 to present)
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 42 ÷ 6 = 7 ÷ 42 = 6 7 • Check the fact family: • This missing number question can be answered by recalling the related fact family • Ask the question ‘Can you remember what number multiplied by 6 equals 42? ’ 6 x 7 = 42 7 x 6 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 42 ÷ 7 = 6 42 6 = ÷ 7 • Find the turnaround division fact: • This example shows how dividing by 6 and dividing by 7 are turnaround facts, in the same fact family 6 x 7 = 42 7 x 6 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 6 x 7 = 42 ÷ = • This is the same number fact as 42 ÷ 6 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 7 7 42 6 x 7 = 42 7 x 6 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 7 x 6 = 42 ÷ = • This is the same number fact as 42 ÷ 7 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 6 6 42 6 x 7 = 42 7 x 6 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 42 ÷ 7 = 6 42 ÷ ÷ = • These two division facts are turnarounds of each other. 7 6 = 7 6 x 7 = 42 7 x 6 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 42 ÷ 6 = 7 42 ÷ x • This is a ‘missing multiplicand’ question: ‘something divided by 6 equals 7’ • It can be answered with the related standard multiplication fact = 42 6 = 7 6 x 7 = 42 7 x 6 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 18 ÷ 6 = 3 ÷ 18 = 6 3 • Check the fact family: 6 x 3 = 18 3 x 6 = 18 18 ÷ 6 = 3 18 ÷ 3 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 48 ÷ 8 = 6 48 6 = ÷ 8 • Find the turnaround division fact: 6 x 8 = 48 8 x 6 = 48 48 ÷ 6 = 8 48 ÷ 8 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 6 x 6 = 36 ÷ = 6 36 6 x 6 = 36 36 ÷ 6 = 6 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 9 x 6 = 54 ÷ = 6 54 6 x 9 = 54 9 x 6 = 54 54 ÷ 6 = 9 54 ÷ 9 = 6 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 12 ÷ 6 = 2 12 ÷ ÷ = 6 6 = 2 6 x 2 = 12 2 x 6 = 12 12 ÷ 6 = 2 12 ÷ 2 = 6 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX ÷ 6 0 x 6=0 1 x 6=6 2 x 6 = 12 3 x 6 = 18 4 x 6 = 24 5 x 6 = 30 6 x 6 = 36 7 x 6 = 42 8 x 6 = 48 9 x 6 = 54 10 x 6 = 60 6 x 0=0 6 x 1=6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 6 x 10 = 60 0÷ 6=0 6÷ 6=1 12 ÷ 6 = 2 18 ÷ 6 = 3 24 ÷ 6 = 4 30 ÷ 6 = 5 36 ÷ 6 = 6 42 ÷ 6 = 7 48 ÷ 6 = 8 54 ÷ 6 = 9 60 ÷ 6 = 10 6÷ 1=6 12 ÷ 2 = 6 18 ÷ 3 = 6 24 ÷ 4 = 6 30 ÷ 5 = 6 36 ÷ 6 = 6 42 ÷ 7 = 6 48 ÷ 8 = 6 54 ÷ 9 = 6 60 ÷ 10 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 30 ÷ 6 = 5 30 ÷ x = 30 6 = 5 6 x 5 = 30 5 x 6 = 30 30 ÷ 6 = 5 30 ÷ 5 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 6 x 36 30 6 5 5 x 6 = 30 6 x 5 = 30 30 ÷ 6 = 5 30 ÷ 5 = 6 • 6 42 6 6 x 6 = 36 36 ÷ 6 = 6 After this slide students can now complete Five. MAD worksheets 21 A-21 D in the Radar Book 6 54 48 7 6 x 7 = 42 7 x 6 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6 6 8 6 x 8 = 48 8 x 6 = 48 48 ÷ 6 = 8 48 ÷ 8 = 6 6 9 6 x 9 = 54 9 x 6 = 54 54 ÷ 6 = 9 54 ÷ 9 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Sweep 22 Five. MAD worksheets: 22 A-22 D ÷ 8 ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder (Acara, 2010 to present)
B l i t z I t M a t h e m a t i c s 4 INDEX ÷ 8 0 x 8=0 1 x 8=8 2 x 8 = 16 3 x 8 = 24 4 x 8 = 32 5 x 8 = 40 6 x 8 = 48 7 x 8 = 56 8 x 8 = 64 9 x 8 = 72 10 x 8 = 80 8 x 0=0 8 x 1=8 8 x 2 = 16 8 x 3 = 24 8 x 4 = 32 8 x 5 = 40 8 x 6 = 48 8 x 7 = 56 8 x 8 = 64 8 x 9 = 72 8 x 10 = 80 0÷ 8=0 8÷ 8=1 16 ÷ 8 = 2 24 ÷ 8 = 3 32 ÷ 8 = 4 40 ÷ 8 = 5 48 ÷ 8 = 6 56 ÷ 8 = 7 64 ÷ 8 = 8 72 ÷ 8 = 9 80 ÷ 8 = 10 8÷ 1=8 16 ÷ 2 = 8 24 ÷ 3 = 8 32 ÷ 4 = 8 40 ÷ 5 = 8 48 ÷ 6 = 8 56 ÷ 7 = 8 64 ÷ 8 = 8 72 ÷ 9 = 8 80 ÷ 10 = 8
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 56 ÷ 8 = 7 ÷ 56 = 8 7 • Check the fact family: • This missing number question can be answered by recalling the related fact family • Ask the question ‘Can you remember what number multiplied by 8 equals 56? ’ 8 x 7 = 56 7 x 8 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 56 ÷ 7 = 8 56 8 = ÷ 7 • Find the turnaround division fact: • This example shows how dividing by 8 and dividing by 7 are turnaround facts, in the same fact family 8 x 7 = 56 7 x 8 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 8 x 7 = 56 ÷ = • This is the same number fact as 56 ÷ 8 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 7 7 56 8 x 7 = 56 7 x 8 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 7 x 8 = 56 ÷ = • This is the same number fact as 56 ÷ 7 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 8 8 56 8 x 7 = 56 7 x 8 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 56 ÷ 7 = 8 56 ÷ ÷ = • These two division facts are turnarounds of each other. 7 8 = 7 8 x 7 = 56 7 x 8 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 56 ÷ 8 = 7 56 ÷ x • This is a ‘missing multiplicand’ question: ‘something divided by 8 equals 7’ • It can be answered with the related standard multiplication fact = 56 8 = 7 8 x 7 = 56 7 x 8 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 40 ÷ 8 = 5 ÷ 40 = 8 5 • Check the fact family: 8 x 5 = 40 5 x 8 = 40 40 ÷ 8 = 5 40 ÷ 5 = 8
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 64 ÷ 8 = 8 64 8 = ÷ 8 • Check the fact family: 8 x 8 = 64 64 ÷ 8 = 8
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 8 x 4 = 32 ÷ = 8 32 8 x 4 = 32 4 x 8 = 32 32 ÷ 8 = 4 32 ÷ 4 = 8 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 9 x 8 = 72 ÷ = 8 72 8 x 9 = 72 9 x 8 = 72 72 ÷ 8 = 9 72 ÷ 9 = 8 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 24 ÷ 3 = 8 24 ÷ ÷ = 3 8 x 3 = 24 3 x 8 = 24 24 ÷ 8 = 3 24 ÷ 3 = 8 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 16 ÷ 8 = 2 16 ÷ x = 16 8 = 2 8 x 2 = 16 2 x 8 = 16 16 ÷ 8 = 2 16 ÷ 2 = 8
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 8 x 48 40 8 5 5 x 8 = 40 8 x 5 = 40 40 ÷ 8 = 5 40 ÷ 5 = 8 • 8 56 6 8 x 6 = 48 6 x 8 = 48 48 ÷ 8 = 6 48 ÷ 6 = 8 After this slide students can now complete Five. MAD worksheets 21 A-21 D in the Radar Book 8 72 64 7 8 x 7 = 56 7 x 8 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8 8 x 8 = 64 64 ÷ 8 = 8 8 9 8 x 9 = 72 9 x 8 = 72 72 ÷ 8 = 9 72 ÷ 9 = 8
B l i t z I t M a t h e m a t i c s 4 INDEX Sweep 23 Five. MAD worksheets: 23 A-23 D ÷ 7 ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder (Acara, 2010 to present)
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 63 ÷ 7 = 9 ÷ 63 = 7 9 • Check the fact family: • This missing number question can be answered by recalling the related fact family • Ask the question ‘Can you remember what number multiplied by 7 equals 63? ’ 7 x 9 = 63 9 x 7 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 63 ÷ 9 = 7 63 7 = ÷ 9 • Find the turnaround division fact: • This example shows how dividing by 7 and dividing by 9 are turnaround facts, in the same fact family 7 x 9 = 63 9 x 7 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 7 x 9 = 63 ÷ = • This is the same number fact as 63 ÷ 7 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 9 9 63 7 x 9 = 63 9 x 7 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 9 x 7 = 63 ÷ = • This is the same number fact as 63 ÷ 9 = ? , but in the form of a ‘missing number’ fact • In both cases, the answer is 7 7 63 7 x 9 = 63 9 x 7 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 63 ÷ 9 = 7 63 ÷ ÷ = • These two division facts are turnarounds of each other. 9 7 = 9 7 x 9 = 63 9 x 7 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7 SKIP to other examples
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 63 ÷ 7 = 9 63 ÷ x • This is a ‘missing multiplicand’ question: ‘something divided by 7 equals 9’ • It can be answered with the related standard multiplication fact = 63 7 = 9 7 x 9 = 63 9 x 7 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 42 ÷ 7 = 6 ÷ 42 = 7 6 • Check the fact family: 7 x 6 = 42 6 x 7 = 42 42 ÷ 7 = 6 42 ÷ 6 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, related division facts 14 ÷ 2 = 7 14 7 = ÷ 2 • Check the fact family: 7 x 2 = 14 2 X 7 = 14 14 ÷ 7 = 2 14 ÷ 2 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 7 x 4 = 28 ÷ = 4 28 7 x 4 = 28 4 x 7 = 28 28 ÷ 7 = 4 28 ÷ 4 = 7 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 3 x 7 = 21 ÷ = 7 21 7 x 9 7 x 3 = 21 3 x 7 = 21 21 ÷ 7 = 3 21 ÷ 3 = 7 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 35 ÷ 5 = 7 35 ÷ ÷ = 5 7 x 5 = 35 5 x 7 = 35 35 ÷ 7 = 5 35 ÷ 5 = 7 SKIP to fact families
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number 49 ÷ 7 = 7 49 ÷ x = 49 7 = 7 7 x 7 = 49 49 ÷ 7 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX ÷ 7 0 x 7=0 1 x 7=7 2 x 7 = 14 3 x 7 = 21 4 x 7 = 28 5 x 7 = 35 6 x 7 = 42 7 x 7 = 49 8 x 7 = 56 9 x 7 = 63 10 x 7 = 70 7 x 0=0 7 x 1=7 7 x 2 = 14 7 x 3 = 21 7 x 4 = 28 7 x 5 = 35 7 x 6 = 42 7 x 7 = 49 7 x 8 = 56 7 x 9 = 63 7 x 10 = 70 0÷ 7=0 7÷ 7=1 14 ÷ 7 = 2 21 ÷ 7 = 3 28 ÷ 7 = 4 35 ÷ 7 = 5 42 ÷ 7 = 6 49 ÷ 7 = 7 56 ÷ 7 = 8 63 ÷ 7 = 9 70 ÷ 7 = 10 7÷ 1=7 14 ÷ 2 = 7 21 ÷ 3 = 7 28 ÷ 4 = 7 35 ÷ 5 = 7 42 ÷ 6 = 7 49 ÷ 7 = 7 56 ÷ 8 = 7 63 ÷ 9 = 7 70 ÷ 10 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: 8 x Good news! We have learned all these number facts except for 7 x 7 = 49! 42 35 7 5 5 x 7 = 35 7 x 5 = 35 35 ÷ 7 = 5 35 ÷ 5 = 7 • 7 6 7 x 6 = 42 6 x 7 = 42 42 ÷ 7 = 6 42 ÷ 6 = 7 After this slide students can now complete Five. MAD worksheets 21 A-21 D in the Radar Book 49 7 63 56 7 7 x 7 = 49 49 ÷ 7 = 7 7 8 7 x 8 = 56 8 x 7 = 56 56 ÷ 7 = 8 56 ÷ 8 = 7 7 9 7 x 9 = 63 9 x 7 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7
B l i t z I t M a t h e m a t i c s 4 INDEX Sweep 24 Five. MAD worksheets: 24 A-24 C Revision 24 D Post-test ACMNA 075: Recall multiplication facts up to 10 × 10 and related division facts ACMNA 076: Develop efficient mental and written strategies and use appropriate digital technologies for … division where there is no remainder (Acara, 2010 to present)
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number • Square number fact family This is the square number as it makes a square 36 6 x 6 = 36 36 ÷ 6 = 6 6 6 The sides are the same so it doesn’t matter which way around they are
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: square numbers 0 0 1 0 0 x 0=0 1 4 1 1 x 1=1 1÷ 1=1 2 16 9 2 2 x 2=4 4÷ 2=2 3 3 3 x 3=9 9÷ 3=3 4 4 4 x 4 = 16 16 ÷ 4 = 4
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families: square numbers 25 5 49 36 5 5 x 5 = 25 25 ÷ 5 = 5 6 6 6 x 6 = 36 36 ÷ 6 = 6 7 81 64 7 7 x 7 = 49 49 ÷ 7 = 7 8 8 8 x 8 = 64 64 ÷ 8 = 8 9 9 9 x 9 = 81 81 ÷ 9 = 9
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number • Square number fact family 36 6 x 6 = 36 36 ÷ 6 = 6 6 6 x 6 = 36 6 This is the same answer For square number facts there is only one of these: 36 divided by 6 is 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number • Square number fact family 36 6 x 6 = 36 36 ÷ 6 = 6 6 6 This answer is the same as well 36 ÷ 6 = 6
B l i t z I t M a t h e m a t i c s 4 INDEX Multiplication fact families, missing number • Square number fact family 36 6 x 6 = 36 36 ÷ 6 = 6 • After this slide students can now complete Five. MAD worksheets 24 A-24 C in the Radar Book 6
B l i t z I t INDEX M a t h e m a t i c s 4 Square numbers 1 x 1=1 2 x 2=4 3 x 3=9 4 x 4 = 16 5 x 5 = 25 6 x 6 = 36 7 x 7 = 49 8 x 8 = 64 9 x 9 = 81 10 x 10 = 100 1÷ 1=1 4÷ 2=2 9÷ 3=3 16 ÷ 4 = 4 25 ÷ 5 = 5 36 ÷ 6 = 6 49 ÷ 7 = 7 64 ÷ 8 = 8 81 ÷ 9 = 9 100 ÷ 10 = 10
B l i t z I t M a t h e m a t i c s 4 INDEX 24 D Post-test ÷ Revision / P ost-test • The post-test will check how well students know these facts after learning and practising the strategies • Students have 5 minutes maximum to work through the post-test • Check results against the pretest for: – time – accuracy • Work through 24 A-DC • After completion, have students work through the 24 D Post-test on their own • Compare with pretest results! 48
B l i t z I t M a t h e m a t i c s 4 A full mathematics program for Year 4 designed to develop conceptual understanding and mathematical thinking for all students The fine print: © Courageous Investing Pty Ltd trading as Professor Pete’s Classroom. All rights reserved. Third party images are used under license. No part of this presentation may be duplicated, edited, posted to any network (including the world wide web) or otherwise used for gain or profit without written explicit permission of the copyright holder. This presentation and its contents are licensed, not sold. This presentation is not released under any Creative Commons or similar license. Refer to the End User License or email support@profpete. com for further information. © Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. Parts of this material were downloaded from the Australian Curriculum website (Website) (accessed 1 Jan 2017) and were modified. The downloaded material is licensed under CC BY 4. 0. Version updates are tracked on the Curriculum version history page of the Australian Curriculum website. ACARA does not endorse any product that uses the Australian Curriculum or make any representations as to the quality of such products. Any product that uses material published on this website should not be taken to be affiliated with ACARA or have the sponsorship or approval of ACARA. It is up to each person to make their own assessment of the product, taking into account matters including, but not limited to, the version number and the degree to which the materials align with the content descriptions (where relevant). Where there is a claim of alignment, it is important to check that the materials align with the content descriptions (endorsed by all education Ministers), not the elaborations (examples provided by ACARA).
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