Multiplication and Division 10

Slides:



Advertisements
Similar presentations
Envision Math - 3rd Grade - Topic 7- 1
Advertisements

Welcome to Mrs Blands Maths Evening. Life Skill Maths is an important life skill. We want your children to be confident mathematicians who are able to.
Area Models. It highlights the commutative and distributive properties, which are fundamental to the real number system and to the success in manipulating.
March 17, 2010 Dr. Monica Hartman. March Agenda Study Partners and Homework Helpers (30 Second Speech) Routines for Learning the Multiplication Facts.
Year 2 Maths Parents’ Workshop Canford Heath First School
Module 1 Lessons 7 & 8 Demonstrate the COMMUTIVITY of multiplication,
Operations & Algebraic Thinking Vocabulary add/addition - to put together two or more numbers to find out how many there are all together (+) addend -
Efficient written methods for calculating addition, subtraction, multiplication and division by the end of year 6.
Math Connection Night September 24, Prior Understandings— Grades K-2 Counting numbers in a set (K) Counting by tens (K) Understanding the numbers.
Progression in Calculations Parents Information Evening November 2013.
Topics: Place Value: The value of a digit depends on its place, or position, in the number. (Through Billions) -Comparing two numbers based on their place.
Excerpts of Expectations from the Number and Operations Standard Grades Pre-K-5 Principles and Standards for School Mathematics National Council of Teachers.
Relate Multiplication and Division
Adult Maths Sessions Multiplication methods. Multiplication Doubling and halving Applying the knowledge of doubles and halves to known facts. e.g. 8 x.
Place Value 20 Fractions and Decimals 11 onestens hundredsthousands x 10 ÷ 10.
Today we will be learning: about multiplication and division that halving is the inverse of doubling.
ParsonMath Diagnostic Assessment Teacher Recording Sheet and Directions If a student misses two or more on a task under each heading, discontinue the task.
Maths curriculum evening. Number addition Year 3 add and subtract numbers mentally: a three-digit number and 1s a three-digit number and 10s a three-digit.
Multiplication and Division 13 Patterns and Algebra 18 Multiplying by 5 - additively Multiplying by 5 – multiplicatively.
Place Value 29, Multiplication Division 25, Fractions Decimals 26
Multiplication and Division x 70 = 9 x 10 x 7 x 10 = 63 x 100 = x 4 = 9 x 10 x 4 = 36 x 10 = x 70 = 7 x 10 x 3 = 70 x 3 = x.
Multiplication and Division 9 5 x 10 = 50 Multiplication and Division 9 50 x 10 = x 10 = 5000.
3 3 x =5 When you see a Multiplication problem, you can use the DIVISION Property of Equality to solve it! Remember – a FRACTION means to divide! CHECK.
Implementation 1.Review the mathematical concept. 2.Review the problem solving steps. 3.READ: Children read the part that is asking them to find something.
Place Value = 1 hundred 100 = 10 tens 100 = 100 ones hundreds tens ones 10 0.
Place Value 21 Fractions and Decimals 12 ones tens hundreds thousands x 10 ÷ 10 tenths x 10 hundredths ÷ 10 x 10.
Third Grade EOG Math Review Goal 1: Numbers and Operations.
= 1 ten-thousand = 10 thousands = 100 hundreds
Year 2 Place value & calculation. 2Pv&C1 6. I can add and subtract a two-digit number and ones number using concrete objects, pictorial representations.
Ones tens is 2 tens and 4 ones Place Value 11.
Addition and Subtraction 21
Maths Parent Workshop Year 3 and 4
Multiplication Workshop
PS/IS 276 Grade 3 Parent Math Workshop
Number Sense Cherri Moseley.
Year 3 Multiplication Count in 2s, 3s, 4s, 5s, 8s and 10s Games
Implementation Review the mathematical concept.
Place Value 25 Fractions and Decimals 21. Place Value 25 Fractions and Decimals 21.
Addition and Subtraction 25
Four-digit Place Value, Partitioning, Ordering and Counting by 10s, 100s, 1000s Place Value 17.
X 10 thousands hundreds tens ones Place Value 18.
Unit B2 Day 5 This unit lasts for 3 weeks.
Unit B2 Day 3 This unit lasts for 3 weeks.
Counting, Number and Place Value (NPV) Summer Term
Year 3 Block 3 Multiplication and Division
Counting, Number and Calculation
Chapter 1 Section 8 Properties of Numbers.
Year 2 Block A.
Introduction Equations are mathematical sentences that state two expressions are equal. In order to solve equations in algebra, you must perform operations.
Multiplication and Division
Year 2 Spring Block 1 Multiplication and Division
Aim To use and understand the language of multiplication.
L.O.1 To be able to derive quickly division facts corresponding to tables up to 10x10.
To recall the doubles of all numbers to at least 10
Year 4 (National Numeracy Strategy) (Based on DFEE Sample Lessons)
Addition & Subtraction Year 1 Statutory Requirements
thousands hundreds tens ones x 10 x 10 x 10 ÷ 10 ÷ 10 ÷ 10
Add and Subtract I can use materials or drawings to show how numbers fit together to 100. I can make organised lists showing the numbers that fit together.
Multiply and Divide I can use concrete materials/arrays/100 square to investigate relationships between the 4s and 8s facts. I can use concrete materials/arrays/100.
100 = 1 hundred 100 = 10 tens 100 = 100 ones 1 hundreds tens ones
Mutiply and Divide I can recall some multiplication
Multiply and Divide I can count equal groups of items saying how many groups and how many altogether. I can explain that multiplying is an easy way to.
Multiply and Divide I can recall some multiplication
Parent/Carer Workshop
Primary Mathematics Key Stages 1 and 2
Teaching Calculations in our School
April 25, 2014 SSOS Central Center of Excellence Team Meeting
Multiplication and Division
Multiplication and Division
Presentation transcript:

Multiplication and Division 10 Multiplying by 2 - additively Multiplying by 2 – multiplicatively Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 $2 $4 $6 $8 $10 $12 $14 $2 $4 $8 $16 $32 $64 $108 Skip counting is repeatedly adding 2 Repeatedly multiplying by 2 Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 2 x 7 = x 2 = double 5 + 2 Distributive property- distribute multiplication 
over addition 2 x 5 = 10 2 x 2 = 4 10 + 4 = 14 2 x 7 = 14 Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 2 x 40 = 2 x 4 x 10 = 8 x 10 = 80 2 x 300 = 2 x 3 x 100 = 6 x 100 = 600 2 x 40 = 2 x 4 x 10 = 8 x 10 = 80 Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we use the distributive property to multiply by 2? Investigation: Select cards to make a number to multiply by 2, for example, or Multiply the number by 2 using the distributive property, for example, Record the product, for example, 2 x 7 = 14 2 x 47 = 94. If you multiplied a single-digit number by 2, learn the multiple of 2 (table). Explain to a friend how you used the distributive property to multiply the number by 2. Reflection: How can we use the distributive property to multiply by 2? Problem Solving The teacher made 2 teams of 8 children. How many children altogether? Problem Solving The school had 2 classes of 28 children. How many children altogether? Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 Dividing by 2 - additively Dividing by 2 – multiplicatively Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 2 of 16 = 16 ÷ 2 = ÷ 2 = halve ÷ 2 = 10 + 6 10 + 6 1 2 10 ÷ 2 = 5 6 ÷ 2 = 3 5 + 3 = 8 of 10 = 5 of 6 = 3 1 2 5 + 3 = 8 Partition and divide by 2 Partition and halve 16 ÷ 2 = 8 1 2 of 16 = 8 Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 15 ÷ 2 = 1 2 of 15 = ÷ 2 = halve ÷ 2 = 10 + 5 10 + 5 4 + 1 15 ÷ 2 = 4 + 1 1 2 10 ÷ 2 = 5 4 ÷ 2 = 2 5 + 2 = 7 of 10 = 5 of 4 = 2 14 + 1 1 2 14 ÷ 2 = 7 15 + 2 = 7r1 Partition and divide by 2 5 + 2 = 7 Partition and halve 15 ÷ 2 = 7r1 1 2 of 15 = 7r1 Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we divide by 2 / halve? Investigation: Select cards to make a number to divide by 2 / halve, for example, or or or Divide your number by 2 by partitioning it into multiples of 2 that you do know, for example, Record the quotient. Explain to a friend how you divided by 2 / halved. Reflection: How can we divide by 2 / halve? Problem Solving The school divided 56 children into 2 classes. How many children in each class? Problem Solving 16 children are divided into 2 teams. How many in each team? Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we use the distributive property to multiply by 2? Investigation: Use a calculator to multiply numbers by 2. Check using the distributive property. Explain your strategy to a friend. Reflection: How can we use the distributive property to multiply by 2? Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 Investigation: Use a calculator to divide numbers by 2 / halve. Check by partitioning into multiples of 2 that you know. Explain your strategy to a friend. Reflection: How can we divide by 2 / halve? Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we use the distributive property to multiply by 2? Investigation: Sit with a friend. Each of you has 2 cards. Places your cards face down and record each number’s product when multiplied by 2, on paper next to the card, for example, Take turns to tell your friend what number you think is on each card, explaining using multiplication, by saying ‘I think the number on the card is 8 because 2 times 8 equals 16’. If correct, you take the card. Reflection: How can we use the distributive property to multiply by 2? 16 12 Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we divide by 2 / halve? Investigation: Sit with a friend. Each of you has 2 cards. Places your cards face down and record each number’s product when multiplied by 2 on paper next to the card, for example, Take turns to tell your friend what number you think is on each card, explaining using division, by saying ‘I think the number on the card is 8 because 16 divided by 2 equals 8’. If correct, you take the card. Reflection: How can we divide by 2 / halve? 16 12 Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we multiply and divide by 2? Investigation: Sit with a friend. Lay out 5 cards in a row. Take turns to secretly select cards and to name a number that, when divided by 2, gives that number as the quotient. If you friend works out the quotient, they keep the card. For example, you may secretly select 6 and say, ‘When I divide 12 by 2, the quotient is this number’. For example, you may secretly select 4 and 6 to make 46, and say, ‘When I divide 92 by 2, the quotient is this number’. Reflection: How can we multiply and divide by 2? Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we multiply and divide by 2? Investigation: Sit with a friend. Lay out 5 cards in a row. Take turns to secretly select cards. Describe the number after it has been multiplied by 2. For example, you may secretly select 8 and say, ‘When my number is multiplied by 2, the product is 16’. For example, you may secretly select 4 and 6 to make 46 and say, ‘When my number is multiplied by 2, the product is 92’. Reflection: How can we multiply and divide by 2? Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we multiply and divide by 2? Investigation: Select a card to make single-digit numbers to multiply by 2. Record the multiplication number sentence. Use the commutative property to record another multiplication sentence. Use the inverse relationship between multiplication and division to record 2 division number sentences. For example, flip 6 and record 6 x 2 = 12 and 2 x 6 = 12. Then record 12 ÷ 2 = 6 and 12 ÷ 6 = 2. Reflection: How can we multiply and divide by 2? Multiplication and Division 10 Patterns and Algebra 15 18

Reflection: How can we multiply and divide by 2? Investigation: Have a multiplication by single-digit numbers array and use it to recall multiples of 2 (tables!) through properties and relationships. For example, 2 x 7 could be represented using 2 sheets of card as, for example, Reflection: How can we multiply and divide by 2? Multiplication and Division 10 Patterns and Algebra 15 18

Multiplication and Division 10 Investigation: Flip cards one at a time and name the product when the number is multiplied by 2. If you know the product when multiplied by 2 efficiently (quite quickly, without skip count), place the card in the ‘know’ pile. If you do not know the product when multiplied by 2 efficiently, place the card in the ‘learn’ pile. Once you have 2 cards with different numbers in the ‘learn’ pile, stop flipping cards. Look at the numbers that you cannot yet multiply by 2, and use multiplicative place value to assist you to efficiently multiply the number by 2. If you cannot think of any strategies yourself, ask your classmates in either a structured sharing session, or while investigating multiplying and dividing by 2. Record the multiplication facts, and related division facts, for example, 6 x 2 = 12 2 x 6 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2 Reflection: How can we multiply and divide by 2? Multiplication and Division 10 Patterns and Algebra 15 18